I need help with my homework

The equation to the model is c = 0.0255s

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

c = ms + b

m = 17 / 680

7.5 = 17 / 680 (300) + b

7.5 = 7.5 + b

b = 0

c = 17 / 680 s

   = 0.0255s

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The number of possible combinations available as calculated from the given data is 259200.

Coin just has a head and a tail.

The potential configuration is (6! * 6!)/2.

Divide by two because each coin has two faces.

The potential configuration is (6! * 6!)/2.

The potential configuration is (( 720 x 720)/2

The potential configuration is 259200.

259200 different combinations are available.

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data.

Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.

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Answer:

180 ft^3

Step-by-step explanation:

volume of the pyramid = (1/3)(area of base) (height)

v= 1/3×(10×12÷2)×(9)

= 180 ft^3

Answer:

answer on the picture.....

Answer:

look at the explanation below

Step-by-step explanation:

The cube root of a number can be determined by using the prime factorization method. In order to find the cube root of a number:

Step 1: Start with the prime factorization of the given number.

Step 2: Then, divide the factors obtained into groups containing the same factors.

Step 3: After that, remove the cube root symbol and multiply the factors to get the answer. If there is any factor left that cannot be divided equally into groups of three, that means the given number not a perfect cube and we cannot find the cube root of that number

i hope this helps

The statement "cross-tabulation can only be used for two variables; each variable must have well-defined labels " is false

The cross tabulation is defined as the tool that is used in statistics to categorical data. We can also says that  that present the results of the entire group of respondents

The given statement is "cross-tabulation can only be used for two variables; each variable must have well-defined labels "

The cross tabulation method can be used to represent two or more variables. The cross tabulation table has x axis as one variable and y axis as another variables

The cross tabulation can be used for two or more variables

Therefore, the the given statement is false

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$2,060.00 is the entire amount accrued from simple interest on a principal of $2,000.00 at a rate of 3% per year for 1 years, including principal and interest.

Ayden deposits $2000 into a savings account with an annual interest rate of 3%.

To calculate simple interest, multiply the daily interest rate by the principle and the number of days between payments. Consumers that make on-time or early monthly loan payments benefit from simple interest.

A = $2,060.00

I = A - P = $60.00

A is equal to P(1 + rt).

First, convert R percent to r a decimal; for example, R/100 is 3%/100, or 0.03 per year.

A = 2000(1 + (0.03 × 1)) = 2060 \sA = $2,060.00

$2,060.00 is the entire amount accrued from simple interest on a principal of $2,000.00 at a rate of 3% per year for 1 years, including principal and interest.

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The sum of x and y is 5.

An equation is a statement of two expressions connected by equal sign.

Given that, the system of equations, y=-3x-1 and y = -2/3x + 6

Simplifying the equations,

-3x-1 = -2x/3+6

Multiplying the both sides by -3

9x +3 = 2x-18

7x = -21

x = -3

Put x = -3 in any one of the equations,

y = -3(-3)-1

y = 9-1

y = 8

Hence, the sum is 5

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The percentage increase of Seraphina's speed will be A. 19.4%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Given that Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 62 miles per hour. Then, in the second hour, she traveled at a speed of 74 miles per hour.

The percentage increase of Seraphina's speed will be:

= Increase in speed / Initial speed × 100

= (74 - 62) / 62 × 100

= 12 / 62 × 100

= 19.4%

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I don't see the picture. Can you send it in the message.

After doing the equation the area of ΔABC is 15√7.

The Heron area formula is what?

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in terms of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: Area is equal to the square root of (a + b + c)/2, where s is half the perimeter.

Given that:

Let AB = 6x , BC = 5x , AC = 4x

then 6x+5x+4x = 30

15x = 30

x = 2

so AB = 12

BC = 10

AC = 8

Area = √s(s - a)(s - b)(s - c)

s = a+b+c/2

s = 12+10+8/2

s = 30/2

s = 15

Area = √15(15- 12)(15 - 10)(15 - 8)

Area = √15(3)(5)(7)

Area = √1575 = 15√7

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H1: The treatment affected the patients' memories.The alternative hypothesis, H1, states that the treatment affected the patients' memories.

To test this hypothesis, the researcher needs to compare the test scores to the population mean of 50. The researcher will use a one-tailed t-test with a .01 level of significance. If the calculated t-value is greater than the critical value, then the null hypothesis will be rejected and the alternative hypothesis will be accepted.

To conduct the t-test, the researcher will need to calculate the mean of the patient's test scores, the standard deviation, and the t-value. The mean is calculated by taking the sum of the test scores and dividing by the number of test scores. The standard deviation is calculated by taking the square root of the sum of the squared deviations from the mean divided by the number of test scores minus one. The t-value is calculated by taking the difference between the mean of the patient's test scores and the population mean, divided by the standard deviation of the patient's test scores, multiplied by the square root of the number of test scores. If the calculated t-value is greater than the critical value, then the null hypothesis can be rejected and the alternative hypothesis can be accepted, indicating that the treatment did affect the patient's memories.

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Answer:

Step-by-step explanation:

6.5

The money was spent on a pass and lunch for each student will be $27.66.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The school is arranging a field trip to the zoo. The school spends 755.16 dollars on passes for 40 students and 2 teachers. The pass for each person will be:

= $755.16 / 42

= $$17.98

The school also spends 387.20 dollars on lunch for just the students. The amount for Howavh students will be:

= $387.20 / 40

= $9.68

The money was spent on a pass and lunch for each student will be:

= $9.68 + $17.98

= $27.66

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Answer: m = -1 , b = -8

Step-by-step explanation:

y=mx+c

m = gradient of the line / slope of the line

c = y intercept

-x=-1x so the gradient is -1

-8 = y intercept

Answer:

97.8263768112

Step-by-step explanation:

Geometric Mean is denoted as 'x'

x = √(110×87)

x = √9570

∴ x = 97.8263768112

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Answer:

V>11

Step-by-step explanation:

Answer: Ask three before me!

Step-by-step explanation: Ask three before me!

Answer:

(3,0)

Step-by-step explanation:

move it :)

The probability that a randomly selected product will be assembled in less than 91.630 minutes or more than 130.35 minutes is 0.0474 or 0.033.

Given,

In a normal random variable

Mean , [tex]\mu[/tex] = 110 minutes

Standard deviation , [tex]\sigma[/tex] = 11 minutes

then

The probability that a randomly selected product will be assembled in less than 91.630 minutes or more than 130.35 minutes will be

a)

To find the Probability that a randomly selected product will be assembled in less than 91.630 minutes, first calculate the z-score at 91.360 minutes

[tex]z-score = \frac{x-\mu}{\sigma}\\\\z-score=\frac{91.63-110}{11}\\\\z-score=\frac{-18.37}{11}=-1.67\\[/tex]

from z-score table , [tex]p(x < -1.67)=0.04746[/tex]

b)

To find the Probability that a randomly selected product will be assembled in more than 130.35 minutes, first calculate the z-score at 130.35 minutes.

[tex]z-score = \frac{130.35-110}{11}\\\\z-score=\frac{20.35}{11}=1.85[/tex]

From z-score table,

[tex]p(x > 1.85)\\\\=1-p(x < 1.85)\\\\=1-0.967\\\\=0.033[/tex]

Thus, the probability for product assembled in more than 130.35 minutes is 0.033

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Luka will require 24 cups of water to make lemonades as calculated from the data given.

The quantity of sugar which he use is twice the amount of lemon which he us ,

= 2 x 3 = 6

and ,

as we know the amount of water is 4 times as much as lemon juice

Therefore, amount of water

= 4 * 6

= 24

A quantity in a Maths equation is a number or variable plus any algebraic combination of additional quantities. In an equation like x + 6 = 15, four values are represented.

A quantity can be described as the amount of something or how much of it there is. Quantity can also be used to refer to the size of something (its magnitude), whether in terms of numbers, units of measurement, or just relative size.

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Answer:

1.7

to the nearest tenth

Step-by-step explanation:

Since the triangle is equilateral, all three sides are the same which is x

The vertical line of length [tex]\sqrt{7}[/tex] bisects the base so each of the two right triangles that is formed has lengths x, x/2 and [tex]\sqrt{7}[/tex]

Using the Pythagorean theorem,

c² = a² + b²

where c is the hypotenuse which has a length x and a and b are the two shorter sides which are x/2 and √7 in this case

Substituting for c, a and b we get

x²= (√7)² + (x/2)²

==> x² = 7 + x²/4

==> x² - x²/4 = 7

==> 3x²/4 = 7

==> x² = 7 x 4/3 = 28/3

x = √(28/3) = 1.732 or 1.7 to the nearest tenth

Answer:

It will take approximately 20.454545454545455 weeks for the amount of water in the two tanks to be the same.

Step-by-step explanation:

To find the number of weeks it will take for the amount of water in the two tanks to be the same, we can set up the following equation:

675 - 4w = 900 - 7w

Then, we can solve for w by adding 4w to both sides and then adding 7w to both sides:

11w = 225

w = 225 / 11

thus, It will take approximately 20.454545454545455 weeks for the amount of water in the two tanks to be the same.

The probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.

The formula for the probability;

probability = favourable outcome/total outcome

The bag contains the marbles as;

Thus, probability of drawing 1st yellow marble.

probability(1st yellow) = 2/10 = 1/5

As the ball is placed again in the bag.

probability(2nd yellow) = 2/10 = 1/5

So, probability of drawing two yellow marble = 1/5 x 1/5 = 1/25.

Thus, the probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.

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Answer:

The tallest player on the team was 78 inches tall

Step-by-step explanation:

The solution of the system of equations:

x = 2y+  3

4x - 5y = 9

Is x = 1, y = -1.

Here we have the following system of equations:

x = 2y+  3

4x - 5y = 9

To solve it, we can notice that the variable x is already isolated on the first equation, then we can take it and replace it on the other equation, then we will get:

4*(2y + 3) - 5y = 9

Now we can solve that equation for y:

4*(2y + 3) - 5y = 9

8y + 12 - 5y = 9

8y - 5y = 9 - 12

3y = -3

y = -3/3

y = -1

And the value of x is:

x = 2y + 3

x = 2*(-1) + 3

x = -2 + 3 = 1

So the solution is x = 1 and y = -1.

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Hello,

I hope you and your family are doing well!

To find the serving size of vitamin C for a toddler, we need to know how much vitamin C is in each serving of orange juice. If we assume that each serving of orange juice contains a certain amount of vitamin C, then we can use the following equation to find the serving size:

serving size = (total amount of vitamin C in container) / (number of servings)

Since there are 2 1/4 cups of orange juice in the container, and the container holds 3 servings, the serving size is:

serving size = (2 1/4 cups) / (3 servings) = 3/4 cup per serving

So the serving size of vitamin C for a toddler is 3/4 cup.

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Happy Holidays!

The given two consecutive positive integers are 9 and 10.

It is a whole number that can be positive, negative, or zero.

Let consider x and x+1 as two consecutive positive integers.

Given that,

[tex]x^{2} -21=6(x+1)[/tex]

[tex]x^{2} -6x-27=0[/tex]

It can be written in fractional form like,

(x-9)(x+3)=0

so the values of x are 9 and -3.

Here, only positive integers are considered.

Hence 9 and 10 are the two consecutive positive integers.

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