Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

The function that models the data in the given table is: D. y = -2x + 10.

The function that models the data of a table can be expressed in the slope-intercept form as y = mx + b, where:

Find the slope of the function using two pairs of values from the table, (6, -2) and (10, -10):

Slope (m) = change in y / change in x = (-10 - (-2)) / (10 - 6)

Slope (m) = -8 / 4

Slope (m) = -2

Find the y-intercept (b) by substituting m = -2 and (x, y) = (6, -2) into y = mx + b:

-2 = -2(6) + b

-2 = -12 + b

-2 + 12 = b

10 = b

b = 10

To write the function, substitute m = -2 and b = 10 into y = mx + b:

y = -2x + 10

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Answer:

61.6

Step-by-step explanation:

multiply 44 by .40 and then add the answer (17.6) to 44

Answer:

x = 7

Step-by-step explanation:

mark branliest

and if you need help just ask

Answer:

=

7

Step-by-step explanation:

hope this helps! brainliest?

Answer:

ok

Step-by-step explanation:

Given:

Val is going to plant y vegetable seeds in one garden and 4y +9 vegetable seeds in another.

So, the total seeds =

When the book on baseball states that your favorite player gets on base 41% of the time he goes to bat, this percentage indicates the player's on-base percentage (OBP), a measure of how often a batter reaches base through hits, walks, or being hit by a pitch.

The on-base percentage is an important statistic in baseball as it helps to evaluate a player's offensive contribution to their team. A higher OBP means the player is more successful at getting on base, creating more scoring opportunities for their team. In this case, a 41% OBP for your favorite player signifies that they are quite proficient in reaching base.
To calculate the OBP, you can use the formula:
OBP = (Hits + Walks + Hit by Pitch) / (At Bats + Walks + Hit by Pitch + Sacrifice Flies)

Having a 41% OBP means that, on average, your favorite player reaches base 41 times out of 100 plate appearances. This is considered an above-average performance for a batter, as the league average OBP typically hovers around 32%. Your favorite player's OBP demonstrates that they are an effective offensive player, contributing to their team's success by getting on base more frequently than the average player.

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The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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Answer:

4 hours and 45 minutes

Step-by-step explanation:

The only thing you have to do is subtract 8 by 3:15 which is 4:45. 4:45 means that it its 4 hours and 45 minutes.

Hope this helps

The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:

- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.

To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)

Plugging in the values, we get:
Angle = tan^(-1)(5/12)

Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).

To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6

Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).

Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.

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The independent variable in the regression analysis that will be conducted is the Grade Point Average (G) of university graduates.

It is considered the independent variable because it is the predictor or explanatory variable that is believed to have an effect on the dependent variable, which is the salary offered (W). The regression analysis will help to estimate the relationship between the two variables and provide a mathematical equation that can be used to predict the expected salary for a given Grade Point Average.

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Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

Answer:

C(p) = 0.25p + 5

Step-by-step explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

∵ p varies directly as the cube of q

→ That means p ∝ q³

∴ The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ \(\frac{26}{8}=\frac{k}{8}\)

∴ 3.25 = k

→ Substitute it in the equation of variation

∴ p = 3.25 q³ ⇒ equation of variation

∵ q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

∴ p = 406.25

∴ The value of p at q = 5 is 406.25

The values of the missing sides is DE = 12 and AC = 6.5

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. Also all the corresponding angles are congruent.

Using Pythagoras:

AC² = AB² + BC²

AC² = 2.5² + 6²

AC = 6.5

Using similar triangles:

BC / DE = AB / EF

6/DE = 2.5/5

DE = 12

The values of the missing sides is DE = 12 and AC = 6.5

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The conditions for a sampling distribution of a sample mean, when you know the true involve random sampling, independence, and a large enough sample size.

The conditions for a sampling distribution of a sample mean, when you know the true mean, are as follows:

1. Random Sampling:

The samples should be selected randomly from the population to ensure that they are representative of the entire population.

2. Independence:

Each sample should be independent of the others.

This means that the outcome of one sample should not influence the outcome of another sample.

3. Sample Size:

The sample size should be large enough to ensure that the sampling distribution approximates a normal distribution.

In general, a sample size greater than 30 is considered sufficient.

Random sampling is important because it helps to minimize bias and ensure that the sample is representative of the population.

Independence is necessary to avoid any potential confounding factors that may influence the results.

Lastly, a sufficiently large sample size is needed to satisfy the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution.

These conditions are important to ensure the validity and reliability of the statistical analysis.

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Answer:

Cylinder

Step-by-step explanation:

The given geometric shape is of a cylinder.

Answer:

Cylinder

Step-by-step explanation:

The shape will make a cylinder if put together.

Answer:

Hope It Help

Brainliest please

Answer:

3

Step-by-step explanation:

The unit rate is a rate with 1 in the denominator. The unit rate for this equation would be how much money he makes in one hour. So, to find the unit rate plugin 1 for r and solve for g. One times three (1*3) is equal to 3; therefore, that is the unit rate.

Answer:

The graph that goes:

0 -3

1 -1

2 1

3 3

4 5

5 7

is correct

Step-by-step explanation:

Because the Y intercept is -3, at 0x, it is -3y, and it increases by 2 each X increase.

The table represents the Equation is table 1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

we have the equation:

y = 2x - 3

Not put the values for x as

x = 1

y= 2(1) -3 = 2 - 3 = -1

x=2

y= 2(2) - 3 = 4-3= 1

x= 3

y = 2(3) - 3 = 6 - 3 = 3

x = 4

y = 2(4) - 3 = 8 - 3 = 5

The above values are correctly represented as table 1.

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Answer:

DE is 4 units long.

Step-by-step explanation:

These are the 30-60-90 triangle side relationships:

We are given the long leg and need to find the short leg. As seen above, the relation ship between those sides is:

\(S*\sqrt{3}=L\)

or:

\(L \div \sqrt3 =S\)

Given the long leg, divide it by √3 to find the short leg.

\(4\sqrt3 \div \sqrt3 = 4\)

The short leg is 4 units long.

Answer:

Answer is D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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If thrice a number increased by 11 and the result is 35, then the number is 8

Let's call the number we're trying to find "x".

According to the problem, "thrice a number increased by 11" is equal to 35. So we can write this as an equation:

3x + 11 = 35

To solve for x, we need to isolate it on one side of the equation. We can start by subtracting 11 from both sides:

3x + 11 - 11 = 35 - 11

Simplifying the left side and evaluating the right side, we get:

3x = 24

Now we can solve for x by dividing both sides by 3:

3x/3 = 24/3

x = 8

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Answer:

Lulu

Step-by-step explanation:

If you take the Lulu shirt and take 20% off of it, you have a shirt that is $80

If you take the H&M shirt and take 15% off of it, then take off 5%, you have a shirt that is $80.75

To find the volume of a solid obtained by rotating a region bounded by curves around an axis, we can use the disk or washer method.

Suppose we want to find the volume of a solid obtained by rotating the region bounded by the curves y = f(x), y = g(x), and the lines x = a and x = b around the x-axis.

We can divide the region into vertical slices of width Δx, and rotate each slice around the x-axis to obtain a disk or washer. The volume of each disk or washer can be approximated as the area of the base times the thickness, or π(R² - r²) Δx, where R and r are the outer and inner radii of the disk or washer, respectively.

To find the exact volume, we take the limit as Δx approaches zero and sum up the volumes of all the disks or washers using integration:

V = ∫[a, b] π(R² - r²) dx

where R = f(x) and r = g(x).

Alternatively, if we want to rotate the region around the y-axis, we can divide the region into horizontal slices of width Δy, and rotate each slice around the y-axis to obtain a disk or washer. The volume of each disk or washer can be approximated as π(R² - r²)Δy, where R and r are the outer and inner radii of the disk or washer, respectively.

The exact volume can be found using integration as:

V = ∫[c ,d] π(R² - r²) dy

where R = f(y) and r = g(y), and c and d are the y-coordinates of the endpoints of the region.

In either case, it is important to sketch the region and identify the appropriate radii before setting up the integral.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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