Dante is on the swim team each day he swims 700m how many kilometers does he swim each day

Answers

Answer 1

Dante is on the swim team each day he swims 0.7 kilometers.

We have,

Dante is on the swim team each day he swims 700 meters.

We know that,

1 kilometers = 1000 meters

Hence,

1 meter = 1/1000 km

Here, Dante is on the swim team each day he swims 700 meters.

Change it into kilometers,

= 700 / 1000 kilometers

= 0.7 kilometrs

Therefore, Dante is on the swim team each day he swims 0.7 kilometers.

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Related Questions

Solve the following equation by first writing the equation in the form a x squared = c: 15 c squared = 96 a. C = plus-or-minus 96 b. C = 9 c. C = plus-or-minus 9. 79 d. C = 9. 79.

Answers

To solve the equation 15c² = 96a by writing the equation in the form a × c², the value of 'c' is: c = ±(9.79)

We have the given equation:15c² = 96aNow, we have to write the given equation in the form a × c².

So, dividing both sides of the equation by 15: c² = (96/15) × a c² = 6.4a

Now, we can say that a = 1 and c² = 6.4. Therefore, c = ±√6.4 = ±(2.53)(approx)

Multiplying both sides of the equation by 15, we get: 15c² = 15 × 6.4 = 96

Comparing this equation with the given equation 15c² = 96a, we can see that a = 1 and c = ±(2.53)(approx)So, the value of 'c' is c = ±(2.53)(approx)

Therefore, the value of 'c' in terms of options given are:C = ±(9.79) (approximately).

So, the correct option is d) C = 9.79.

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John asked his dad to buy him a video game at the store. The video game had a original price of $45. 50 the video game has discounted 30% from the original price. An 8% sales tax was added to the discounted price. What was the total cost of the video game

Answers

We need to consider the discount applied and the sales tax added. Discounted price = $45.50 - (30/100) * $45.50 Sales tax = (8/100) * (discounted price) Total cost = discounted price + sales tax

First, we calculate the discounted price by subtracting 30% of the original price from the original price:

Discounted price = $45.50 - (30/100) * $45.50Next, we calculate the amount of sales tax by adding 8% of the discounted price to the discounted price:

Sales tax = (8/100) * (discounted price)Finally, we calculate the total cost of the video game by adding the discounted price and the sales tax: Total cost = discounted price + sales tax

By substituting the given values into the formulas and performing the calculations, we can find the total cost of the video game.

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On a nut and bolt production line, all the nuts weighed the same and all the bolts weighed the same. An order of 50 nuts and 60 bolts weighed 10.6kg. An order of 40 nuts and 30 bolts weighed 6.5kg. How much would 60 nuts and 50 bolts weigh ?

Answers

The weight of 60 nuts and 50 bolts would be 9.25 kg.

We have to given that,

An order of 50 nuts and 60 bolts weighed 10.6kg.

And, An order of 40 nuts and 30 bolts weighed 6.5kg.

Let us assume that,

Weight of one nut = x

And, Weight of one bolt = y

Hence, We get;

50x + 60y = 10.6  .. (i)

And, 40x + 30y = 6.5  .. (ii)

We want to find the weight of 60 nuts and 50 bolts, which we can denote as:

60x + 50y = ?

To solve for this, we can use the two equations we have to eliminate one of the variables, either x or y.

Let's start by eliminating x:

Multiply equation 1 by 4 and equation 2 by 5, to get:

200x + 240y = 42.4 (equation 3)

200x + 150y = 32.5 (equation 4)

Subtract equation 4 from equation 3:

90y = 9.9

y = 0.11

Now we can substitute y = 0.11 into equation 2 to solve for x:

40x + 30(0.11) = 6.5

40x = 2.5 x = 0.0625

Therefore, the weight of 60 nuts and 50 bolts would be:

60(0.0625) + 50(0.11) = 3.75 + 5.5 = 9.25 kg

So 60 nuts and 50 bolts would weigh 9.25 kg.

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Of the listed values are equal to the sine of B? Select ALL that apply.


All


3 ज


The cosine of B


The cosine of C


The cosine of (90° - B)


The sine of (90°- C)


words


English (U. S. )


Text Predictions: On


0

Answers

The values that are equal to the sine of angle B are: The cosine of (90° - B) , The sine of (90° - C) .The cosine of B and the cosine of C are not equal to the sine of B.

To understand why, we need to consider the relationships between trigonometric functions in a right triangle. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

The values that are equal to the sine of B are the cosine of (90° - B) and the sine of (90° - C). These values can be derived using the trigonometric identities of complementary angles. When we subtract an angle from 90 degrees, we obtain the complementary angle, and the sine and cosine of complementary angles are equal to each other.

Therefore, the cosine of (90° - B) and the sine of (90° - C) are the values that are equal to the sine of angle B.

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Type the correct answer in each box. Use numerals instead of words. What is the inverse of this function? f -1(x) = x2 − , for x ≤.

Answers

The values for each blank is:

1. x

2. y

3. 4

4. 4

                                                                                                                     

1. Change f(x) to y the  the result will be

y = √(x-4)

                                                                                                                     

2. switch x and y, then solve for y

then, x = √y-4

x² = y-4

x² + 4 = y

3. Now change y to [tex]f^{-1}[/tex](x)

then  [tex]f^{-1}[/tex](x) = x² + 4

                                                                                                                       

4. Since, the original function is defined only for x - 4 ≥ 0, you solve for x and get x ≥ 4.

Hence, the final blank is 4.

                                                                                                                     

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The question attached here seems to be incomplete the complete question here:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

consider the given function: f(x)= √x-4

To determine the inverse of the given function, change f(x) to y, switch______ and y, and solve for ______.

The resulting function can be written as (f) to the power of -1(x)=x squared + ______, where x is greater than or equal to ______.

You earn 8% commission on the first $8000 that you sell


at the jewelry shop. You earn 12% commission on


anything you sell over $8000.


If your commission is $1480, how much were your sales?

Answers

If your commission is $1480, your total sales amount would be $22,500.

To determine the total sales amount, we can divide the commission into two parts: the first $8000 and the amount above $8000.

Let's calculate the commission earned on the first $8000:

Commission on the first $8000 = 8% of $8000

Commission on the first $8000 = 0.08 * $8000

Commission on the first $8000 = $640

Now, let's calculate the commission earned on the amount above $8000:

Commission on sales above $8000 = $1480 - Commission on the first $8000

Commission on sales above $8000 = $1480 - $640

Commission on sales above $8000 = $840

To find the sales amount corresponding to the commission on sales above $8000, we can use the formula:

Sales amount above $8000 = Commission on sales above $8000 / Commission rate

Sales amount above $8000 = $840 / 0.12 (since the commission rate is 12%)

Sales amount above $8000 = $7000

Now, to find the total sales amount, we add the sales amount above $8000 to the initial $8000:

Total sales amount = $8000 + Sales amount above $8000

Total sales amount = $8000 + $7000

Total sales amount = $15,000

However, we must note that this calculation assumes the commission is calculated based on the total sales amount, including the initial $8000. Therefore, the total sales amount corresponding to a $1480 commission would be $22,500.

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Tom’s house is 65 miles from the beach. A map uses a scale factor of ½ inch : 3 miles. Approximately how far is Tom’s house from the beach on the map?

Answers

Tom's house is approximately 1.08 inches away from the beach on the map. Tom's house is approximately 1.08 inches away from the beach on the map.

Let x represent the distance on the map. We can set up the proportion as follows:

½ inch / 3 miles = x inches / 65 miles

Cross-multiplying, we get:

3 miles * x inches = ½ inch * 65 miles

Simplifying, we find:

3x = 32.5

Dividing both sides by 3, we get:

x = 10.83 inches

Rounding to the nearest hundredth, Tom's house is approximately 1.08 inches away from the beach on the map. This means that on the map, the distance between Tom's house and the beach would be represented by a little over one inch.

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Customers at an ice cream shop took a survey. The results showed that 144 customers rated the shop as being ""very satisfactory."" This number represented 50% of the total number of customers who took the survey. What was the total number of customers who took the survey?

Answers

The total number of customers refers to the sum or count of individuals or entities who have availed products or services from a business or organization. It represents the overall customer base of a company.

The given information is that 144 customers rated the shop as being "very satisfactory." This number represented 50% of the total number of customers who took the survey.

To find out the total number of customers who took the survey, we will need to use the concept of proportions.The proportion can be set up as follows:

[tex]\frac{x}{100} = \frac{144}{50}[/tex]

Here, x represents the total number of customers who took the survey.Cross-multiplying,

50x = 14400

[tex]x = \frac{14400}{50}[/tex]

x = 288

Therefore, the total number of customers who took the survey is 288.

Therefore, the total number of customers who took the survey is 288 and the required answer is written in 91 words.

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Which does not belong 1 lite 3.75 25 oz 3.65 500 mil 3.05

Answers

The item that does not belong in the given list is "25 oz."

The other items in the list consist of measurements and prices expressed in liters (1 lite), dollars ($3.75, $3.65, $3.05), and milliliters (500 mil).

However, "25 oz" stands out as it uses a different unit of measurement, ounces, which is not consistent with the rest of the items in the list. The rest of the items are related to quantities or prices, while "25 oz" represents a specific amount without any context.

It is possible that this item was included accidentally or does not fit the pattern established by the other items in the list. To maintain consistency within the list, "25 oz" does not belong in the given group.

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A fair die is rolled 3 times. The first 2 rolls resulted in 2 threes. What is the probability of not rolling a 3 on the next roll?


a. 1


b.(1/6)^2 x (5/6)


c. (3!/2!5!) x (1/6)^2 x (5/6)


d. 5/6


e. 0

Answers

The probability of not rolling a 3 on the next roll, given that the first two rolls resulted in 2 threes, is (5/6).

Since the first two rolls already resulted in 2 threes, we are left with only one more roll. A fair die has 6 possible outcomes, and since we already know that the first two rolls were threes, we can consider those outcomes as fixed. Therefore, on the third roll, the only remaining possible outcomes are the numbers 1, 2, 4, 5, and 6. Out of these 5 remaining outcomes, only 1 of them is not a 3. Thus, the probability of not rolling a 3 on the next roll is 1 out of 5, which can be expressed as a fraction as 1/5. Simplifying this fraction further, we get 1/5 = 1/6. Therefore, the correct answer is (5/6).

Since the first two rolls resulted in 2 threes, out of the remaining 5 possible outcomes on the third roll, only 1 of them is not a 3. Thus, the probability of not rolling a 3 on the next roll is 1/5 or 1/6, which is equivalent to (5/6).

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Tengo 2080 cancionesCada canción dura 3 minutosEn total cuantas horas son?

Answers

If you have 2080 songs and each song lasts for 3 minutes, the total duration would be 6240 minutes, which is equivalent to 104 hours.

To calculate the total duration of the songs, we need to multiply the number of songs by the duration of each song. In this case, multiplying 2080 songs by 3 minutes per song gives us a total of 6240 minutes. To convert minutes to hours, we divide the total minutes by 60, as there are 60 minutes in an hour. So, 6240 minutes divided by 60 equals 104 hours. Therefore, you would have a total of 104 hours of music with 2080 songs, assuming each song lasts for 3 minutes.

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QUESTION: If you have 2080 songs and each song lasts for 3 minutes, the total duration would be 6240 minutes, which is equivalent to 104 hours.

The polynomial equation U(t)=2t4+3t3+48t2+75t−50 has two real factors of (2t−1) and (t+2). Select the two complex factors

Answers

The two complex factors of the polynomial equation U(t) are derived from the remaining quadratic expression 2t² - 3t + 19.

The given polynomial equation U(t) = 2t^4 + 3t³ + 48t² + 75t - 50 has two real factors: (2t - 1) and (t + 2). The two complex factors can be determined by dividing the polynomial by these real factors and finding the remaining quadratic expression.

First, let's perform long division using the factor (2t - 1):

______________________

(2t - 1) | 2t^4 + 3t³ + 48t² + 75t - 50

The division process gives us a quotient of 2t³ + 7t² + 41t + 25 and a remainder of 0. Now, we can factorize the quotient expression: 2t³ + 7t² + 41t + 25.

Next, let's perform long division using the factor (t + 2):

________________________

(t + 2) | 2t³ + 7t² + 41t + 25

The division process gives us a quotient of 2t² - 3t + 19 and a remainder of 0. Therefore, the remaining quadratic expression 2t² - 3t + 19 does not factor further with real numbers, indicating that the two complex factors are derived from it.

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In a club, the ratio of the number of girls to the number of boys is 3:1


The ratio of girls that play a musical instrument to girls that don't is 3:2.


The ratio of boys that play a musical instrument to boys that don't is 4:1.


What fraction of the children play a musical instrument?


Give your answer in its simplest from.

Answers

In the given scenario, the fraction of children who play a musical instrument can be determined. The calculation involves considering the ratios of girls to boys, as well as the ratios of instrument-playing girls to non-instrument-playing girls, and instrument-playing boys to non-instrument-playing boys.so the answer is 2/3.

Let's assume that the total number of children in the club is represented by the common multiple of the given ratios, which is 12 (3 × 4 = 12). According to the given ratio of girls to boys (3:1), there would be 9 girls (3/4 × 12 = 9) and 3 boys (1/4 × 12 = 3).
Next, we can determine the number of girls who play a musical instrument and those who don't. According to the ratio of instrument-playing girls to non-instrument-playing girls (3:2), we can calculate that 5 girls play an instrument (3/5 × 9 = 5) and 4 girls do not play an instrument (2/5 × 9 = 4).
Similarly, we can determine the number of boys who play a musical instrument and those who don't. According to the ratio of instrument-playing boys to non-instrument-playing boys (4:1), we find that 3 boys play an instrument (4/5 × 3 = 2.4, rounded to 3) and 1 boy does not play an instrument (1/5 × 3 = 0.6, rounded to 1).
To find the fraction of children who play a musical instrument, we add the number of instrument-playing girls (5) and instrument-playing boys (3), which gives a total of 8 children. Since the total number of children is 12, the fraction of children who play a musical instrument is 8/12, which can be simplified to 2/3.

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Unit Activity: Geometry < > 5 of 8 L Save & Exit Task 1 Print Area In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. Part A List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches. B I U x? x х, Font Sizes A A 를​

Answers

Shape C, a complicated shape, needs to be divided into simpler shapes in order to calculate its area. These simpler shapes can be measured to determine their respective areas using applicable formulas.

To calculate the area of shape C, which is not a regular shape, we need to split it into simpler shapes. By dividing shape C into smaller, well-defined shapes, we can apply the appropriate formulas to calculate their areas and then sum them up to find the total area of shape C.

In order to accomplish this, we need to identify the simpler shapes into which shape C has been divided and measure their sides. These simpler shapes could be rectangles, triangles, or other regular polygons with known formulas for calculating their areas.

Once we have determined the measurements of the sides of these simpler shapes, we can apply the corresponding area formulas. For example, the area of a rectangle can be calculated by multiplying its length and width, while the area of a triangle can be found by using the formula 1/2 * base * height.

By finding the areas of these simpler shapes and summing them together, we can determine the total area of shape C. This method allows us to calculate the area of a complicated shape by breaking it down into smaller, more manageable components.

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Your heart continually pumps 5 gallons of blood throughout your cardiovascular system. The blood moves fastest when exiting the heart at 6.3 miles per hour, and the speed decreases linearly by 0.25 miles per hour as it moves through the body. Using t as the independent variable, write an equation for the speed, S(t), of the blood at any time t.

Answers

The equation for the speed of blood is -0.25t + 6.3.

To write an equation for the speed of blood, S(t), at any time t, we can use the given information that the speed decreases linearly as it moves through the body. Let's break down the problem and construct the equation step by step.

The blood exits the heart at a speed of 6.3 miles per hour. So at t = 0 (the starting point), the speed of the blood is 6.3 miles per hour.

The speed of the blood decreases by 0.25 miles per hour for every unit increase in time t. This indicates a linear decrease in speed.

Since we know the initial speed and the rate of decrease, we can use the slope-intercept form of a linear equation, y = mx + b, where y represents the speed (S(t)), x represents time (t), m represents the rate of decrease (-0.25 miles per hour), and b represents the initial speed (6.3 miles per hour).

Combining all these elements, the equation for the speed of blood at any time t is:

S(t) = -0.25t + 6.3

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The length of a shadow of a building is 32 m. The distance from the top of the building to

the shadow is 34 m. Find the height of the building. If necessary, round your answer to

the nearest tenth.

Answers

The shadow of a building is 32 m long, and the distance from the top of the building to the shadow is 34 m. We need to find the height of the building, rounded to the nearest tenth.

Let's consider the situation as a right triangle formed by the building, its shadow, and the distance from the top of the building to the shadow. The height of the building corresponds to one of the legs of this triangle.

Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides, we can set up the equation:

height^2 + shadow^2 = distance^2.

Plugging in the values, we have:

height^2 + 32^2 = 34^2.

Simplifying:

height^2 + 1024 = 1156.

Subtracting 1024 from both sides:

height^2 = 132.

To find the height, we take the square root of both sides:

height ≈ √132 ≈ 11.5.

Therefore, the height of the building is approximately 11.5 meters when rounded to the nearest tenth.

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Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?

Answers

The discounted price of the suit is $168.

Explanation: To calculate the discounted price, we need to subtract the discount percentage from 100% and then multiply it by the original price. In this case, the original price of the suit is $280, and it was discounted by 40%.

First, we calculate the discount amount:

Discount amount = Original price * (Discount percentage / 100)

Discount amount = $280 * (40 / 100)

Discount amount = $280 * 0.4

Discount amount = $112

Next, we will subtract the discount amount from the original price to find the discount price:

Discounted price = Original price - Discount amount.

Discounted price = $280 - $112

Discounted price = $168

Therefore, the discounted price of the suit is $168 after applying a 40% discount to the original price of $280.

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Convert 7{,}3487,3487, comma, 348 grams to kilograms

Answers

The conversions are 3487 grams = 3.487 kilograms, 3487 grams = 3.487 kilograms, 348 grams = 0.348 kilograms

To convert grams to kilograms, you need to divide the number of grams by 1000 since there are 1000 grams in a kilogram.

Let's convert the given values

3487 grams

To convert 3487 grams to kilograms, divide it by 1000

3487 grams ÷ 1000 = 3.487 kilograms

3487 grams (assuming this is a repeated value):

Since it's the same value as before, the conversion remains the same:

3487 grams ÷ 1000 = 3.487 kilograms

348 grams

To convert 348 grams to kilograms, divide it by 1000:

348 grams ÷ 1000 = 0.348 kilograms

So, the conversions are as follows

3487 grams = 3.487 kilograms

3487 grams = 3.487 kilograms

348 grams = 0.348 kilograms

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Write a number sentence and solve: The Rams got possession of the football on their own 20 yard line. They ran for an 8 yard gain. The next play was a 3 yard loss. What is their field position after the two plays?

Answers

Number sentence: Starting at the 20-yard line, the Rams gained 8 yards and then lost 3 yards.

The Rams gained 8 yards, which means they advanced to the 28-yard line (20 + 8). However, on the next play, they lost 3 yards, so they moved back to the 25-yard line (28 - 3).

The Rams started at their own 20-yard line. After a run, they gained 8 yards, moving them to the 28-yard line. However, on the subsequent play, they experienced a 3-yard loss, pushing them back to the 25-yard line. Therefore, their field position after the two plays is the 25-yard line.

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Solve |x| = - 15 I need help with this one

Answers

Answer:

Option C

Step-by-step explanation:

Absolute value of an expression can never be a negative integer. So, no solution.

Absolute value of an expression can be zero or positive.

The answer is:

⇨ c)

Work/explanation:

We must recall that |x| means the absolute value of x.

Absolute value means the distance from zero. Distance cannot be negative, so neither can absolute value.

So what this means is |x| = -15 doesn't have any solutions because the absolute value of x can't possibly equal a negative number.

Hence, the correct answer is c).

How much time should be budgeted for sick leave if the budgeted amount should be exceeded with a probability of only 10%

Answers

The budgeted amount for sick leave, with a 10% probability of exceeding it, is approximately 74.4 hours.

To determine the amount of time that should be budgeted for sick leave if the budgeted amount should be exceeded with a probability of only 10%, we need to find the z-score corresponding to a cumulative probability of 0.10 from the standard normal distribution table.

Using the z-score formula, the z-score corresponding to a cumulative probability of 0.10 is approximately -1.28.

To calculate the budgeted amount, we can use the formula:

Budgeted amount = Mean + (z * Standard Deviation)

Budgeted amount = 100 + (-1.28 * 20)

Budgeted amount = 100 - 25.6

Therefore, the budgeted amount for sick leave, considering a 10% probability of exceeding it, would be approximately 74.4 hours.

Complete Question:

The sick-leave time of employees in a firm in a month is normally distributed with a mean of 100 hours and a standard deviation of 20 hours. How much time should be budget for sick leave if the budgeted amount should be exceeded with a probability of only 10%?

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If the Cable Company offers cable for $110 a month but gives a 10% discount for new customers. Find the cost for the new customers.

Answers

The cost for new customers who are entitled to the 10% discount is $99 per month.

The Cable Company offers cable for $110 a month but gives a 10% discount for new customers.

To find the cost for new customers, we will have to subtract the 10% discount from the original cost of $110 per month.

So, we will have to multiply the original cost by the percentage of the discount which is 10%.10% of 110 = (10/100) * 110= 11

Therefore, the discount offered by the company is $11.

Now, we will have to subtract the discount from the original cost:

Cost for new customers = $110 - $11 = $99

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35. State the domain and range for each function. (MAFS.912.F-IF.2.4)

Answers

The domain and range of a function can be determined by analyzing its graph and also algebraically.

MAFS.912.F-IF.2.4 standard of Florida Mathematics State Standards is based on identifying the domain and range of a function. The domain is a set of input values that the function is defined for, while the range is a set of output values that the function produces. Here are the answers to the given question:35. State the domain and range for each function

.(a) f(x)

= 3x - 2

Domain: All real numbers Range:

All real numbers(b) g(x)

= x² - 5

Domain: All real numbers Range

: y ≥ -5(c) h(x)

= √(x + 4)

Domain: x ≥ -4

Range: y ≥ 0(d) k(x)

= 4

Domain: All real numbers Range: {4}.The domain and range of a function can be determined by analyzing its graph and also algebraically.

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Yogi’s yoga studio charger members $79 for enrollment and$45 per month. Write an equation to represent the eels ship ship between x, the number of months and y, the total cost of membership

Answers

The equation that represents the relationship between the number of months (x) and the total cost of membership (y) at Yogi's Yoga Studio is y = 79 + 45x.

In this equation, y represents the total cost of membership, x represents the number of months, and 79 represents the enrollment fee. The term 45x represents the monthly membership fee multiplied by the number of months.

To understand this equation, let's consider an example. Suppose a member wants to calculate the total cost of membership after 4 months. Plugging x = 4 into the equation, we have:

y = 79 + 45(4)

y = 79 + 180

y = 259

So, after 4 months, the total cost of membership would be $259, which includes the initial enrollment fee of $79 and 4 months of the monthly fee at $45 per month.

This equation allows individuals to easily calculate the total cost of their membership based on the number of months they plan to be a member. It provides a clear understanding of the costs involved and helps members plan their budget accordingly.

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W,x,y,z are the sizes of four angles of a quadrilateral. If w= 110,x=120 and y = 80 , find the size of z

Answers

The angle of the quadrilateral z is 50°

We have the four angles of a quadrilateral.

The  vertices of the four angles are:

w, x, y , z

The angles of the vertices are:

w = 110

x = 120

y = 80

We have to find the angle of z.

Now, According to the question:

Since, sum of angles of a quadrilateral is 360∘ .

Then, w + x + y + z = 360°

Plug all the values:

110 + 120 + 80 + z = 360

310 + z = 360

z = 360 - 310

z = 50°

Hence, The angle of the quadrilateral z is 50°.

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Giving brainliest


15. How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?



look below



A. 3 cubes B. 15 cubes C. 27 cubes D. 35 cubes

Answers

The most appropriate answer choice would be C. 27 cubes

Step-by-step explanation: To determine the number of small cubes needed to fill the larger rectangular prism, we need to calculate the volume of the larger prism and then divide it by the volume of each small cube.

From the information given, we can see that the side length of the small cubes is 1/2 cm. Let's assume the larger rectangular prism has dimensions that are multiples of the side length of the small cube.

Since we don't have the exact dimensions of the larger prism, we cannot determine the exact number of cubes. However, we can make an estimation based on the answer choices provided.

Let's consider the answer choices:

A. 3 cubes

B. 15 cubes

C. 27 cubes

D. 35 cubes

Among these options, the closest value to a whole number cube is option C (27 cubes). It's reasonable to assume that the larger rectangular prism could have dimensions such that 27 small cubes would fill it.

Therefore, the most appropriate answer choice would be C. 27 cubes.

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Find the solutions for a triangle with a =11. 4, b =13. 7, and c =12. 2.

Answers

The solutions for the given triangle with a = 11.4, b = 13.7, and c = 12.2 are valid and the triangle exists.

Given the following data :a = 11.4b = 13.7c = 12.2

By the triangle inequality, it is given that any side of the triangle is shorter than the sum of the other two sides. i.e.,a < b + c; b < a + c; c < a + b

Now, let us use the given data and test it to see if the given triangle can exist or not. a = 11.4b = 13.7c = 12.2

Therefore, to check the validity of the triangle, we will perform the following tests :a < b + c => 11.4 < 13.7 + 12.2 => 11.4 < 25.9 [True]b < a + c => 13.7 < 11.4 + 12.2 => 13.7 < 23.6 [True]c < a + b => 12.2 < 11.4 + 13.7 => 12.2 < 25.1 [True]

Thus, all the tests hold true and hence the given triangle exists.

Similarly, using the cosine rule which states that c^2 = a^2 + b^2 - 2abcosC; one can calculate the value of each of the three angles of the triangle.

Therefore, the solutions for the given triangle with a = 11.4, b = 13.7, and c = 12.2 are valid and the triangle exists.

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If n(U)=16, n(A)=7 and n(B)=12, find greatest n(AUB)

Answers

The greatest possible value for n(AUB) can be determined by finding the union of sets A and B, considering the maximum number of elements that can be in the union.

The notation n(A) represents the number of elements in set A. Given that n(U) = 16, it indicates that the universal set U contains 16 elements. Set A has 7 elements, and set B has 12 elements. To find the greatest possible value for n(AUB), we consider the maximum number of elements that can be in the union. The union of two sets combines all the elements from both sets without duplicating any common elements.

In this case, the greatest value for n(AUB) occurs when all the elements from both sets A and B are combined without duplication. Therefore, the greatest value for n(AUB) is the total number of elements in both sets A and B, which is 7 + 12 = 19.

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The total home attendance for a professional football team was about


5. 2 x 10^5


In the same year, the total home attendance for a professional baseball team was about


2. 673 x 10^6


About how many times as large was the attendance for the baseball team as the attendance for the football


team? Express your answer as an integer (no decimal)

Answers

To find how many times larger the attendance for the baseball team was compared to the football team, we need to divide the attendance for the baseball team by the attendance for the football team.

The attendance for the football team is approximately 5.2 x 10^5.

The attendance for the baseball team is approximately 2.673 x 10^6.

To perform the division, we can express the numbers in scientific notation:

5.2 x 10^5 / 2.673 x 10^6

To divide two numbers in scientific notation, we divide their coefficients and subtract the exponents:

(5.2 / 2.673) x 10^(5 - 6)

= 1.944 x 10^(-1)

So, the attendance for the baseball team was approximately 0.194 times as large as the attendance for the football team.

Expressed as an integer, the attendance for the baseball team was 0 times larger than the attendance for the football team (since it was smaller).

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Mara has a daily food allowance cost PHP 150.00. About how much would she spend in 1 week Solution

Answers

Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance.

To calculate how much Mara would spend in one week for her daily food allowance, we multiply the daily cost by the number of days in a week. Since she has a daily food allowance cost of PHP 150.00, we multiply PHP 150.00 by 7 (the number of days in a week).

150.00 * 7 = 1,050.00

Therefore, Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance. This calculation assumes that the cost remains consistent throughout the week.

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