9b (b+3) -6 when b=2


12y +4 when y= 6


6r -3 when r=10


please help out w those 3 questions ​

Answer:24-25a

Step-by-step explanation:

The ratio of stars to moons and moons to stars are 3:1 and 1:3

Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Given;

There are 3 stars and 1 moon

Now,

Ratio of stars to moon;

=3:1

Ratio of moon to stars;

=1:3

Therefore, the answer ratio will be 3:1 and 1:3

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We ahve to solve for y in the equation:

- 2 x - 7 y = 4

We add 7 y to both sides:

- 2 x = 4 + 7 y

now subtract 4 from both sides:

- 2 x - 4 = 7 y

divide everything on the left and everything on the right by 7 in order to isolate the "y" completely:

- 2 x / 7 - 4 / 7 = y

y = -(2/7) x - (4/7)

where "- (2/7) " is the slope

and

"- (4/7)" is the y-intercept

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

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8/9 = 0.888888....

7/18 = 0.388888888889

10/16 = 0.625

Ascending order - means going up, smallest to largest. (Imagine climbing a ladder, where you start of low, then, go higher up the ladder.)

Thus, answer is 7/18, 10/16, 8/9

Hope this helps!

Answer:

C) Player A is the most consistent, with an IQR of 2.5.

Step-by-step explanation:

A measure of variability indicates how spread out the data is from the central tendency.

The best measure of variability in this context is the Interquartile Range (IQR), as it is less affected by extreme values or outliers, and focuses on the middle 50% of the data, which is useful for assessing consistency.

To determine which player was more consistent, calculate the IQR for each player.

Sort the data in ascending order:

Find the median (Q₂) by locating the middle value of the dataset:

Find the lower quartile (Q₁) by calculating the median of the lower half of the data (1, 1, 2, 2):

Find the upper quartile (Q₃) by calculating the median of the upper half of the data (3, 4, 4, 8):

Calculate the IQR by subtracting the lower median from the upper median:

Sort the data in ascending order:

Find the median (Q₂) by locating the middle value of the dataset:

Find the lower quartile (Q₁) by calculating the median of the lower half of the data (1, 1, 2, 4):

Find the upper quartile (Q₃) by calculating the median of the upper half of the data (5, 5, 5, 10):

Calculate the IQR by subtracting the lower median from the upper median:

Comparing the IQRs:

So, Player A is the most consistent according to the IQR measure of variability, as lower variability indicates greater consistency.

Answer: 4

Step-by-step explanation:

60(hour) divided by 15

Answer:

0.105

Step-by-step explanation:

0.25/100 x 42 = 0.105

Answer: The answer is 0.105

Step-by-step explanation:

'x + 5' under the sqrt sign cannot be less than zero

so   x values (domain) must be greater than or equal to -5  to + inf

  the resulting y values (range)  will go from   0 to + inf

D    [-5, +∞)

R    [0, +∞)

In general, it is a good idea to experiment with different scales and choose the one that best represents the data on bar graph while remaining easy to read and interpret.

What is a bar diagram?

Bar graphs or bar charts are visual depictions of groups of data that are made up of vertical or horizontal rectangular bars with lengths that are equal to the data's measure.

The choice of scale for a bar graph depends on the range of values that a person wants to display and the level of detail you want to show.

When selecting a scale for a bar graph, one should consider the following -

The range of values: Choose a scale that includes all of the values you want to display.

If the range is wide, you may want to use a logarithmic scale to make the differences between values more visible.

The number of bars: If there are many bars, one may want to use a smaller scale to avoid overcrowding the graph.

The level of detail: If a person wants to show small differences between values, you may want to use a smaller scale.

The purpose of the graph: If the graph is intended to highlight trends, a person may want to use a larger scale to emphasize differences.

Therefore, the choice depends on purpose of the bar graph.

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Answer:

C should be right

Step-by-step explanation:

I hope this helps

1. The width is  7 1/9 feet

2. The number of containers is  10 9/16 containers

3. The length is 15/8 miles

4. 15/184 servings

The formula for determining the area of a rectangle is expressed as;

A = lw

Given that the parameters are;

We have that;

1. Substitute the values

32 = 9/2w

Make the width subject of formula

32× 2/9 = w

Multiply the values

w = 64/9 = 7 1/9 feet

2. To determine the value, we have;

Area = 13/2 × 13/8

Multiply the values

Area = 169/16

Divide the values

Area = 10 9/16 containers

3. The area is 15/56

Width = 1/7

Then

Length = area/width

Length = 15/56 × 7/1

Multiply the values

Length = 15/8 miles

4. We have that;

1 serving = 5/4

then x = 46/3

cross multiply the values

x = 5/4 × 3/46

Multiply the values

x = 15/184 servings

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Answer:

0,5

Step-by-step explanation:

u just need to shorted it

Answer:

2 only

Step-by-step explanation:

the slope is 2 in function 1 and function 2 is the only other slope that is 2 as well

The residual plot tell you about the line of best fit, the closer a data point's residual is to 0, the better the fit.

A residual value is a measure of how much a retrogression line vertically misses a data point. Retrogression lines are the stylish fit of a set of data. You can suppose of the lines as pars; a many data points will fit the line and others will miss.

A residual plot has the Residual Values on the perpendicular axis; the vertical axis displays the independent variable.

A residual plot is generally used to find problems with retrogression. Some data sets aren't good campaigners for retrogression, including

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To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Answer:

B

Step-by-step explanation:

Answer:

300 student tickets and 260 adult tickets.

Step-by-step explanation:

x=number of student tickets, y=number of adult tickets.

1.25x+2.25y=916; x+y=560. x=300; y=260.

I hope this helps you

The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.

It follows from the task content that the expression which is equivalent to the given expression is to be determined.

Since the given expression is;

( 3^4n ) ^(1/2)

However, it follows from the power of power law of indices that the expression above can be written as follows;

( 3 ) ^ (4n × 1/2)

= ( 3 )^2n

Therefore, the required equivalent expression is; ( 3 )^2n.

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The magnitude of the electric field at the origin is 20.25 N/C due to the three +1.0 nC charges positioned at the points (-1 m, 0), (1 m, 0), and (0,2 m).

This can be calculated by using the equation E = kQ/r2, where k is Coulomb's constant, Q is the charge, and r is the distance from the point of origin.

The distance between the charge at (-1 m, 0) and the origin is 1 m, the distance between the charge at (1 m, 0) and the origin is 1 m, and the distance between the charge at (0,2 m) and the origin is 2 m.

We can plug in the values into the formula for each charge and calculate the electric field:

E1 = (9 x 10^9 Nm^2/C^2)(1.0 x 10^-9 C)/(1 m)^2 = 9 x 10^0 N/C

E2 = (9 x 10^9 Nm^2/C^2)(1.0 x 10^-9 C)/(1 m)^2 = 9 x 10^0 N/C

E3 = (9 x 10^9 Nm^2/C^2)(1.0 x 10^-9 C)/(2 m)^2 = 2.25 x 10^0 N/C

Finally, we can add the electric fields from each charge to get the total electric field at the origin:

E = E1 + E2 + E3 = 9 x 10^0 N/C + 9 x 10^0 N/C + 2.25 x 10^0 N/C = 20.25 x 10^0 N/C = 20.25 N/C

Therefore, the magnitude of the electric field at the origin is 20.25 N/C.

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tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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i attached a pdf, hopefully it helps you understand!

Answer:

Explanation:

Given the expression:

In the expression:

Rearrange the expression to bring the like terms together:

Next, combine the like terms:

An equivalent expression is:

Answer:

c = 0

Step-by-step explanation:

Step 1: Write equation

15 - 5(4c - 7) = 50

Step 2: Solve for c

Step 3: Check

Plug in c to verify it's a solution.

15 - 5(4(0) - 7) = 50

15 - 5(-7) = 50

15 + 35 = 50

50 = 50

Answer:

-16+-17+-18= -51

-16,-17,-18

Answer:

Step-by-step explanation:

Answer: $43.33

Solution:

Sale price = Original Price x 1.20(discount)

Original price = Sales Price divided by discount

Therefore:

Original price = $52 / 1.2 = $43.33 dollars (just round)

Answer:

<PRS = 45

Step-by-step explanation:

In a square, all 4 angles are complementary so:

<PRS + <PRQ = 90

<PRS + 45 = 90

<PRS = 45