Find the value of x.
51 m
h
48 m
51 m

Answer:

\(f\) = 78

\(g\) = 3.5

Step-by-step explanation:

First we need to find \(f\).

We can use the equation \(72 + (f + 30) = 180\) to solve for \(f\).

We can then change that equation to \(72 + f + 30 = 180\), since the Commutative Property of Addition says that you can have any addition in any order.

Now, we can solve the equation.

\(102 + f = 180\\(102 - 102) + f = 180 - 102\\f = 78\)

Now that we solved \(f\), we can now solve for \(g\).

Since 25 equals \(8g -3\), we can solve the equation \(8g - 3 = 25\).

Here is how you solve it:

\(8g - 3 = 25\\8g + (-3 + 3) = 25 + 3\\8g = 28\\g = \frac{28}{8}\)

Since \(\frac{28}{8}\) equals 3.5, which is the simplest form, that is the answer.

Hope this helps, and please mark me brainliest! :)

Answer:

The possible values of k are 3 and -3

Step-by-step explanation:

Given

Points: (-3,k) and (2,0)

Distance between them = √34

Required

Determine the value of k

The distance between two points is calculated as thus;

\(Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Let

\((x_1,y_1) = (-3,k)\)

\((x_2,y_2) = (2,0)\)

Substitute these values in the given formula

\(Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}\)

Evaluate the brackets

\(Distance = \sqrt{-5^2 + k^2}\)

\(Distance = \sqrt{25 + k^2}\)

Recall that Distance = √34

So; we have

\(\sqrt{34} = \sqrt{25 + k^2}\)

Take square of both sides

\(34 = 25 + k^2\)

Collect Like Terms

\(k^2 = 34 - 25\)

\(k^2 = 9\)

Take square root of both sides

\(k = \±3\)

Hence, the possible values of k are 3 and -3

The coefficients a and b for the linear function are given by:

a = -2, b = 5.

A linear function is modeled by:

y = ax + b

In which:

Given two points, the slope is given by change in y divided by change in x, hence, for points AB:

a = (-1 - 7)/(3 - (-1)) = -8/4 = -2.

Hence:

y = -2x + b.

When x = -1, y = 7, hence the value of b is found as follows:

7 = -2(-1) + b

b = 5.

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Answer:

1, 2 and 5

Step-by-step explanation:

Step-by-step explanation:

\( {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)\)

\(5 {x}^{2} - 4x - 8\)

Answer:

9.4

Step-by-step explanation:

Hopefully this explains it well enough, I can go deeper if needed :)

Given:

The vertices of square WXYZ are W(1,7), X(6,5),  Y(4,0), and Z(-1, 2).

Consider the rule of transformation is \((x, y)\to (x-7, y-6)\).

To find:

The new coordinates.

Solution:

We have,

\((x, y)\to (x-7, y-6)\)

Using the above rule of transformation, we get

\(W(1, 7)\to W'(1-7, 7-6)=W'(-6,1)\)

\(X(6, 5)\to X'(6-7, 5-6)=X'(-1,-1)\)

\(Y(4, 0)\to Y'(4-7, 0-6)=Y'(-3,-6)\)

\(Z(-1, 2)\to Z'(-1-7, 2-6)=Z'(-8,-4)\)

Therefore, the new vertices are W'(-6,1), X'(-1,-1), Y'(-3,-6) and Z'(-8,-4).

Answer:

\( = 90 - 23 \\ = 46 \degree\)

It's not a typo that both answers are 24

======================================================

Explanation:

Each time the weight goes up by 1 ounce, the cost goes up by 24 cents. So the unit cost is 24 cents per ounce. This is exactly the slope of the line because the slope is the rate of change. It tells us how fast something is changing.

You can use the slope formula to answer this question, but I think it's easier to simply locate the point (1,24) and then note that slope = rise/run = y/x = 24/1 = 24. This shortcut only works because the line goes through the origin.

The equation of this line is y = 24x

x = number of ounces

y = cost in cents

Step-by-step explanation:both are 24

Answer:

Step-by-step explanation:

a. To find the time it takes for the stone to hit the floor, we can use the formula t = sqrt(2h/g), where h is the height of the table and g is the acceleration due to gravity. Plugging in the values, we get:

t = sqrt(2(1.5 m)/9.8 m/s^2) = 0.55 seconds.

b. To find the horizontal distance traveled by the stone, we can use the formula d = vt, where v is the initial velocity of the stone and t is the time it takes to hit the floor. Plugging in the values, we get:

d = (0.80 m/s) * (0.55 s) = 0.44 meters.

Therefore, the stone will hit the floor after 0.55 seconds and will travel 0.44 meters from the table.

The mean of the given data is approximately 39.7.

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

In the given data set, the mean can be calculated as the sum of all the values divided by the number of entity in the data.

mean = {33.2+38.6+41.9+44.0+42.9+36.2+41.7+39.8+43.5+30.5+39.2} / 12

mean = 119 / 3

mean = 39.7

The mean of the data set is calculated as 39.66666 which is approximately 39.7.

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Answer:

Part A: yes it is a function because every input value (x) produces only one output value (y).

Note: It is still a function if different x values produce the same y value, in this case, x=1 and x=-1 produce the same y value 1, but it is NOT a function if y=1 and y=-1 have the same x value x=1.  

Part B: when x=30: f(30)=17*30+50=560

if means that the cost of renting the truck for 30 hours is 560 dollars.

this help?

Answer:

Could you show the proofs Iy and Daniel wrote?

Step-by-step explanation:

Answer:

2(7x + 2)

Step-by-step explanation:

Perimeter of a Rectangle = 2 x Length + 2 x Width.

Given Length = 4x, Width = 3x + 2,

Perimeter of Rectangle = 2(4x) + 2(3x + 2)

= 8x + 6x + 4

= 14x + 4 (Degree one polynomial)

= 2(7x + 2)

The mean/standard error of the sampling distribution of the proportion is 0.0111.

Its root-mean The square root of the mean of the squares of all the values in a series calculated from the arithmetic mean is the square deviation, also referred to as the standard deviation and denoted by the symbol.

The standard deviation reveals the degree of data dispersion. It expresses how far away from the mean each observed value is.

Almost 95% of the values in any distribution will be within two standard deviations of the mean. The degree of data dispersion from the mean is described by the term "standard deviation" (or " σ").

The data tend to cluster around the mean when the standard deviation is low; when it is high, the data are more dispersed.

The formula to calculate the standard error of sampling distribution of sample proportion is:

\($ SE(p) =\sqrt{\frac{p(1-p)}{n} }\)

It is given that the bank believes that 8% of people who receive loans will not make payments on time. That is,

Population proportion, p =0.08

Sample size, n= 800

Using the formula defined :

\($ SE(p) =\sqrt{\frac{0.08(1-0.08)}{600} }\)

\($ SE(p) =\sqrt{0.000123}\)

SE(p) = 0.0111

Thus, the mean/standard error of sampling distribution of the proportion is 0.0111.

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The researcher would conduct a hypothesis test, specifically Pearson's correlation coefficient, to determine if there is a significant relationship between study hours and college GPA. This test would help identify the target population for intervention strategies.

The researcher would conduct a hypothesis test to determine if there is a significant relationship between the average number of hours per week freshmen expect to study during the first semester of college and their first semester college GPA. Specifically, they would use a correlation test, such as Pearson's correlation coefficient, to assess the strength and direction of the relationship between these two variables. This test would help the researcher identify the target population of freshmen to focus their intervention strategies on.

To conduct the hypothesis test, the researcher would follow these steps:

1. Formulate the null hypothesis (H₀) and the alternative hypothesis (H₁). In this case, the null hypothesis would state that there is no significant relationship between the number of study hours and college GPA (ρ = 0), while the alternative hypothesis would state that there is a significant relationship (ρ ≠ 0).

2. Collect data from the target population of freshmen by administering the Transition to College Inventory questionnaire, which includes questions about study hours and college GPA.

3. Calculate the correlation coefficient between the two variables. Pearson's correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with 0 indicating no correlation, -1 indicating a perfect negative correlation, and 1 indicating a perfect positive correlation.

4. Determine the significance level (α) for the test. This value represents the maximum probability of making a Type I error, which is the rejection of the null hypothesis when it is true. A common significance level is 0.05 (5%).

5. Conduct the hypothesis test by comparing the calculated correlation coefficient with the critical value from the t-distribution table or by using statistical software to calculate the p-value. If the p-value is less than the significance level, the researcher can reject the null hypothesis and conclude that there is a significant relationship between study hours and college GPA.

By conducting this hypothesis test, the researcher can identify the target population of freshmen who may benefit from intervention strategies to improve retention rates based on their expected study hours and its relationship with first semester college GPA.

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Answer:

260 miles.

Step-by-step explanation:

First, find the unit rate (the rate which the numerator is one but the fracvtion is equivilant), in this case the unit rate would be 1/40, or 1:40. Replace the 1 in the ratio ti=o get 6.5:x. Find x. We know that the unit rate is 1:40, so multiply 6.5 by 40 to get 260. Hope this helps!

GOOD LUCK! NYAYAYAYAYA

Answer:

sin = 1.333333

cos = 0.75

Answer:

My guess is $3.70 is the cost per ounce.

Step-by-step explanation:

Divided!

Answer:

x= 95 duhhhhhhh lol jk but its 95

Step-by-step explanation:

Answer:

x = 95° by the Vertical Angles are congruent theorem

Hope this helps!

% of bowel cancer cases correctly identified by the test is 54.06

A biopsy may be performed during a colonoscopy, or it may be done on any tissue that is removed during surgery. Sometimes, a CT scan or ultrasound (see below) is used to help perform a needle biopsy. A needle biopsy removes tissue through the skin with a needle that is guided into the tumor.

To calculate the percentage of bowel cancer cases correctly identified by the test, divide the number of true positive cases by the total number of individuals with bowel cancer, and then multiply by 100.

(1762 / 3258) x 100 = 54.06

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Answer:

840.32

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

$3500*(2%/100%) = $70

It pretty simple just take 2% and times it by the principle if it's only for one year.

Answer:

a) the new perimeter is 2 times the old perimeter

b) the new area is 4 times the old area

Step-by-step explanation:

b) the doubling of the length and width affects the area formula like this:

old triangle area formula = 1/2bh

new triangle area formula = 1/2(2b)(2h),   you see the 2 x 2 causes the area to be 4 fold

According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.

This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.

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The expression that calculates the length of the hypotenuse is  c = √a² + b²

where

c = hypotenuse

a and b are the other legs

Therefore, the expression that calculates the length of the hypotenuse is as follows:

square root both sides to get the length of the hypotenuse c.

√c² = √a² + b²

Therefore,

c = √a² + b²

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Answer:

1: x= 10

Step-by-step explanation:

I only know the first one, sorry, but if its any help then for #2: x= 8