Which value of x makes the equation x+45=64 true?

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

55 is 40% of 137.5.

Step-by-step explanation:

To find the number that 55 is 40% of, you can divide 55 by 40% to get 137.5. This means that 55 is 40% of 137.5.

The value of y in the isosceles triangle is AC = 6 cm

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the triangle be represented as ABC

Now , the angle ∠ABC = 25°

The angle ∠ACB = 25°

So , the 2 angles of a triangle is 25° so , the third angle is 130°

So , the triangle is an isosceles triangle

And , the two sides of the triangle is AB = AC

The measure of side AB = 6 cm

The measure of side AC = measure of side AB

Therefore , the measure of side AC = 6cm

Therefore , the value of AC is 6 cm

Hence , the measure of side AC of triangle is 6 cm

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Answer: None of these

Step-by-step explanation:

A. If [tex]x=-32[/tex], then [tex]y=745[/tex], not [tex]10[/tex].

B. If [tex]x=0[/tex], then [tex]y=9[/tex], not [tex]10[/tex].

C. If [tex]x=-1[/tex], then [tex]y=32[/tex], not [tex]1023[/tex].

D. If [tex]x=23[/tex], then [tex]y=-520[/tex], not [tex]10[/tex].

The square root of 8 is an irrational number, because it is not an exact square root.

The rational numbers are composed by the set of all numbers that can be represented by fractions, such as whole numbers, terminating decimals, or repeating decimals.

The irrational numbers, conversely, are composed by the set of numbers that cannot be represented by fractions, such as non-exact roots and non-terminating decimals.

The square root of 8 is non-exact, hence it is an irrational number, as the square root is then a non-terminating and non-repeating decimal.

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The total area of the Caribbean sea and the South Atlantic ocean is 4.299 × 10⁷ km². The correct option is the second option 4.299 × 10⁷ km²

From the question, we are to determine the total area of the water bodies.

From the given information

"The area of the Caribbean sea is 2.7182 × 10⁶ km²"

and

"The area of the South Atlantic ocean is 4.027 × 10⁷ km²"

To determine the total area, we will add  up the two areas

Total area = 2.7182 × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10¹ × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10⁷ km² + 4.027 × 10⁷ km²

Total area = 4.29882 × 10⁷ km²

Total area ≈ 4.299 × 10⁷ km²

Hence, the total area is 4.299 × 10⁷ km²

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Answer:

Hence, the total area is 4.299 × 10⁷ km²

Step-by-step explanation:

This is true.it is important to understand how the online sampling method works and to interpret the sampling procedure correctly with respect to basic sampling concepts.

Sampling helps a lot in research. It is one of the most important factors which determines the accuracy of your research/survey result. If anything goes wrong with your sample then it will be directly reflected in the final result.

With the help of sampling, you can test a statistical hypothesis on the features of a population. Why do samples get utilized in studies? Using samples, one can draw conclusions about populations. Samples are more practical, affordable, convenient, and controllable, making data collection from them easier.

So, it is concluded that it is important to understand how the online sampling method works and to interpret the sampling procedure correctly with respect to basic sampling concepts.

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Answer:

x = 0.91

Step-by-step explanation:

x = 1.47 x 0.62

x = 0.9114

round x = 0.9114 to the required place

x = 0.91

Answer:

x=-3/7

Step-by-step explanation:

Answer: It's D.

Step-by-step explanation: When you simplify you get the answer D.

Answer:

0.9 x 10^6

Step-by-step explanation:

6.3 divided by 7 is 0.9

10^11 ÷ by 10^5 is 10^6

The number 4 could represent the cost of each ride Sydney goes on in the equation

From the question, we have the following parameters that can be used in our computation:

y = 18 + 4r

Where

The equation y = 18 + 4r is a linear equation

A linear equation in its slope-intercept form can be represented as

y = c + mx

Where  x and y are the variables

So, we have

Slope = m

By comparing the equations, we have

m = 4

This means that

Slope = 4

In this case, the slope is 4

So, the interpretation is that 4 is the cost of each ride

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sinC = 72/97

What is right triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.

Given right angle triangle ABC ∠B is a right angle

AB=72

BC=65 and

AC = 97

sin C = perpendicular/hypotenuse = p/h

sinC = 72/97

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Answer:

Just so we can help each other out!

The equation is log_2 (3x - 5) = 9 There are no real solutions to this equation because the logarithm of a negative number is undefined. The left side of the equation would require the argument to be negative, thus making the equation impossible to solve.

This equation cannot be solved because the logarithm of a negative number is undefined. The left side of the equation is of the form log_2 (N), where N is some real number.For the equation to have any real solutions, N needs to be greater than 0. However, in this equation, N is equal to 3x - 5, which can be negative for certain values of x. This means that there is no real number x that can be substituted into the equation to make it true, since the logarithm of a negative number is not defined. Therefore, this equation has no real solutions.

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Answer: 5

Step-by-step explanation:

20/4 = 5

The less value including 13% VAT in Rs. 3200 than Rs. 3820 is 340 rupees.

A percentage is a ratio or number that may be expressed as a fraction of 100. Additionally, it is denoted by the sign "%."

Here, we have VAT.

A flat charge called value-added tax (VAT) is imposed on a purchase. It resembles a sales tax in some ways, with the exception that with a sales tax, the consumer pays the entire amount due to the government at the moment of sale. With a VAT, several participants to a transaction each pay a piece of the tax amount.

Value on Rs. 3200 with 13% VAT

= 3200 + 30% of 3200

= 3200 + 960

= 4160 rupees

Now, the less value,

= 4160 - 3820

= 340 rupees.

Therefore, the less value is 340 rupees.

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The calculation that will give the closest estimate of the sales of soft drinks and hot dogs is 360 * 2 + 220  * 2

From the question, we have the following parameters that can be used in our computation:

Time = one week

Number of cans = 362

Unit price of soft drink = $1.75

Number of hot dogs = 221

Unit price of hot dogs = $2.35

The calculation that will give the closest estimate is represented as

Estimate = Number of cans * Unit price of soft drink + Number of hot dogs * Unit price of hot dogs

Substitute the known values in the above equation, so, we have the following representation

Estimate = 362 * 1.75 + 221  *2.35

Approximate

Estimate = 360 * 2 + 220  * 2

Hence, the expression is 360 * 2 + 220  * 2

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4x^2 - 16x + 16 = 0

factor out the CGF which is 4

rewrite

x^2 - 4x + 4

factor

(x - 2)(x-2)

x = 2

Answer:

True

Step-by-step explanation:

The point [tex](0,3)[/tex] lies on the graph.

Answer:

(0, 3)

Step-by-step explanation:

The function is p(x).

p(0) = 3 means at x = 0, p = 3.

The ordered pair is (0, 3)

The quadratic inequality (18 / 7) · x² + (54 / 7) · x - 180 / 7 < y contains al the ordered pairs outside the parabola.

In this problem we must determine a quadratic inequality of the form:

a · x² + b · x + c < y

Where a, b, c are the real coefficients of the inequality.

First, determine the coefficients of the quadratic inequality (parabola) by solving the system of linear equations:

25 · a - 5 · b + c = 0

4 · a + 2 · b + c = 0

a + b + c = - 18

(a, b, c) = (18 / 7, 54 / 7, - 180 / 7)

Second, write the quadratic inequation:

(18 / 7) · x² + (54 / 7) · x - 180 / 7 < y

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Answer:

2.8 goals

Step-by-step explanation:

35 * 0.08 = 0.35*8

0.35*8=2.8

The expected number of goals scored on the goaltender would be 2.8.

The expected number of goals scored by the goaltender can be calculated using the formula:

Expected goals = Total shots * Probability of a goal

Therefore, for a goaltender with a save percentage of 0.920 (which means the probability of a goal is 0.08), and facing 35 shots:

The expected number of goals scored on this goaltender in a game where she faced 35 shots would be 2.8 goals.

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Answer:

1 -  $15

2-  $30

3 - $45

4 - $60

Step-by-step explanation:

$15/hour

1 -  $15 =1*15

2-  $30 =2*15

3 - $45 =3*15

4 - $60=4*15

Using the given data, the number of suspects is; 7

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

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The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/tex]  

Probability of having x mower fail = 0.018x

Number of mowers that fail = 54

Total number of mowers = 3000

The probability of failure can be defined as,

=  [tex]\frac{Number of mowers that fail}{Total number of mowers}[/tex]

Fraction that failed = [tex]\frac{54}{3000}[/tex]

Fraction that failed = [tex]\frac{9}{500}[/tex]

Fraction that failed = 0.018

Therefore,

The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/tex]

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The total number of hours Mayerlin worked is 21 and (g + n) respectively.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.

Given that, Mayerlin gets paid $20 per hour to work at the grocery store and $19 per hour to work at the nursery.

Since Mayerlin works 11 hours at the grocery store and 10 hours at the nursery, the total number of hours she worked is:

11 + 10

= 21

Now, if, Mayerline works g hours at the grocery store and n hours at the nursery, the total number of hours she worked is:

g + n

Hence, the total number of hours Mayerlin worked is 21 and (g + n) respectively.

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Probability that both the person own the dog is equal to 0.0225.

The likelihood that an event will occur is measured by probability. It is difficult to provide a complete prediction for many events. Using it, we are only able to estimate the likelihood that an event will occur, or the chance that it will. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probabilities.

Let event A denotes that a person own dog,

P(A) = 15% =15/100 = 0.15

If we pick two people at Random then Probability that they both own dog

= P(A)*P(A)

= 0.15 * 0.15

= 0.0225

Required Probability = 0.0225

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Answer:

a. [tex]\frac{x+2}{x+6}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}[/tex]

If we compare the p value and a significance level given for example [tex]\alpha = 0.05[/tex] we see that [tex]p_{v} < \alpha[/tex] that the standard deviation of [tex]iq[/tex] scores in this population is known to be 15 the actual true mean is significantly different from 100.  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 ) = 0.00031

X = 89 represent the mean of seventh-grade girls in Midwest school district

s = 15 represent the standard deviation for the sample  

n = 31 sample size  

μ = 100 represent the value that we want to test  

'a' represent the significance level for the hypothesis test.  

't' would represent the statistic (variable of interest)  

[tex]p_{v}[/tex] represent the p value for the test (variable of interest)

State the null and alternative hypotheses,

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:  

Null hypothesis: μ = 100

Alternative hypothesis: μ ≠ 100

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = (X-μ) / ([tex]\frac{s}{\sqrt{n} }[/tex] )                (Equation-1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t = [tex]\frac{89-100}{\frac{15}{\sqrt{31} } }[/tex]

t = -4.08

Calculate the P-value  

First we need to calculate the degrees of freedom given by:  

[tex]df = n-1[/tex]

[tex]df = 31 -1[/tex]

[tex]df = 30[/tex]

Since is a two tailed test the p value would be:  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 )

[tex]p_{v}[/tex] = 0.00031

Therefore,

If we compare the p value and a significance level given for example [tex]\alpha = 0.05[/tex] we see that [tex]p_{v} < \alpha[/tex] that the standard deviation of [tex]iq[/tex] scores in this population is known to be 15 the actual true mean is significantly different from 100.  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 ) = 0.00031

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The equation of hyperbola will be;

⇒ x²/48² - y²/14² = 1

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

In hyperbola,

The value of center = (0, 0)

The value of vertex = (- 48, 0)

The value of focus = (50, 0)

Now,

We know that;

The equation of hyperbola is,

⇒ (x - h)²/a² - (x - k)²/b² = 1

Where, (h, k) is center, (h ± a, k) is the vertex.

Here, The value of center = (0, 0)

The value of vertex = (- 48, 0)

The value of focus = (50, 0)

So, h = 0, k = 0

a = 48, c = 50

We get;

⇒ (x - 0)² / 48² - (y - 0)² / b² = 1

⇒ x² / 48² - y² / b² = 1

Since, c = √a² + b²

⇒ b = √c² - a²

⇒ b = √50² - (-48)²

⇒ b = √196

⇒ b = 14

Hence, We get;

⇒ x² / 48² - y² / b² = 1

⇒ x² / 48² - y² / 14² = 1

Thus, The equation of hyperbola is;

⇒ x²/48² - y²/14² = 1

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