A book that is 13 inches tall is leaning against the edge of a wall. If the bottom of the book is 5 inches from the wall, how far up the wall is the top of the book?

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

-3, -4, -5

Step-by-step explanation:

x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

x+x+1 = 3(x+2)

2x + 1 = 3x + 6

1 = x + 6

-5 = x

-4 = x+1

-3 = x+2

Answer:

https://www.wyzant.com/resources/answers/64459/if_f_x_3x2_4x_and_g_x_3x_2_then_which_of_the_following_is_equal_to_f_x_183_g_x#answer-79706

Step-by-step explanation:the link tells you heheh

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

Answer:

<2 = 75

<1 =105

Step-by-step explanation:

<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel

<2 = 75

<1 and <2 are supplementary angles

<1+<2 = 180

<1 +75 = 180

<1 = 180-75

<1 =105

Answer:

Angle 1: 105 Angle 2: 75

Step-by-step explanation:

The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!

I hope this helped you!

[tex]\sf\purple{2.667}[/tex] ✅

Step-by-step explanation:

[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

Answer:

Set A

Step-by-step explanation:

A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.

The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.

Answer:

7.

Solution given;

male=15

female=27

1st term=5*3

2nd term=3*3*3

now

Highest common factor=3

So

The maximum number of groups that the teacher can make is 3.

and each team contains 5 male and 9 female.

Answer:

Step-by-step explanation:

B

Answer:

obtuse angle

Step-by-step explanation:

Answer:

The rate is 12 ounces/box

or Each box of spaghetti weighs 12 ounces

Step-by-step explanation:

Divide 168 ounces by 14 boxes to calculate what each box weighs.

Answer: okay so trying adding each part and count how many hours is 6 am and add and I hope you get it right if not I’m sorry for you- but you should find a more sure answer

Answer:

The mean of the random variable is 0.

The variance of the random variable is [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

We are given the following probability distribution:

[tex]P(X = -2) = \frac{1}{8}[/tex]

[tex]P(X = -1) = \frac{2}{8}[/tex]

[tex]P(X = 0) = \frac{2}{8}[/tex]

[tex]P(X = 1) = \frac{2}{8}[/tex]

[tex]P(X = 2) = \frac{1}{8}[/tex]

Mean:

Sum of each value multiplied by its probabilities. So

[tex]E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0[/tex]

The mean of the random variable is 0.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probabilities. So

[tex]V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}[/tex]

The variance of the random variable is [tex]\frac{3}{2}[/tex]

Answer:

The number of plans that cost between $52.38 and $96.7 is 913.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of $74.54, standard deviation of $11.08

Percentage of plans that cost between $52.38 and $96.7.

52.38 = 74.54 - 2*11.08

96.7 = 74.54 + 2*11.08

Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.

The number of plans that cost between $52.38 and $96.7 is .

95% of 961. So

0.95*961 = 913

The number of plans that cost between $52.38 and $96.7 is 913.

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

m = √245

Step-by-step explanation:

cos theta = 7/m

cos theta = m/35

7/m = m/35

m² = 245

m= √245

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47

Step-by-step explanation:

Answer:

i do not know srry but i can guess

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

--------------------

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

Answer:

A

Step-by-step explanation:

I think it's A because that how many miles shes walking not hours not secound or minutes miles. Sry if i'm wrong.

Answer:

409

Step-by-step explanation:

You add 234 with 175.

Suppose that γ is an angle with csc γ = -11/10 and γ is not in the third quadrant. Compute the exact value of cot γ. You do not have to rationalize the denominator.

First let us draw your triangles

Then let's try to solve your problem

Sin(g) = -3/4: you should need to draw the point (x,y) such that y = -3, x <0, and x2 + (-3)2 = 42.

Then cos(g) = x/4, tan (g) = -3/x, csc (g) = -4/3,

sec(g) = 4/x and cot(g) = -x3.

Note:

The other one are done similarly: we can use other info to find the given figure out the (x,y) points, and derive the trig ratios from them.

#LearnwithBrainly

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

Answer:

$19,565.22

Step-by-step explanation:

15% of 22,500 = 3375 as we multiply by 0.15

but, 15% of an initial is still whole 1 + 0.15  = 1.15 but when using sale prices to find initial we DIVIDE

= 22500 / 1.15 = 19565.2174

and round up by 2dp currency.

= $19565.22

The way to remember is the opposite finds the original

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}