Find the earnings for washing and waxing 12 cars and 8 trucks.
Car Truck
Wash $8
$10
Wax
$12 $15
The earnings are $

Answer:

Nick - Fair Credit Billing Act

Andrea - Fair Credit Reporting Act

Jane - Credit Card Accountability

Responsibility and Disclosure A

Step-by-step explanation:

no

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

-7/2

Step-by-step explanation:

To find the y coordinate of the midpoint and the y coordinates together and divide by 2

(2+-9)/2

-7/2

Answer:

2 goes in green box

Step-by-step explanation:

(9,2) (-7,-9)

(x1, y1) (x2,y2)

Midpoint is (x1+x2)/2 , (y1+y2)/2

(9-7)/2= 1

(2-9)/2 = -7/2

The mistake each student made and what each student needs to do to fix their mistake is;

x² - 6x + 8 = 0

x = - b ± √b² - 4ac / 2a

where,

x = - b ± √b² - 4ac / 2a

= -(-6) ± √(-6)² - 4(1)(8) / 2(1)

= 6 ± √36 - 32 / 2

= 6 ± √4 / 2

= 6 ± 2 / 2

x = 6/2 + 2/2 or 6/2 - 2/2

= 3 + 1 or 3 - 1

x = 4 or 2

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Answer:

-6

Step-by-step explanation:

-24 divided by 6 is -4, so the fraction would be simplified to -4/1, then change to a whole number and subtract 2, which equals -6.

Using the z-distribution, the p-value for the test is of 0.0040.

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

For this problem, the parameters are given as follows:

\(\overline{x} = 33.8, \mu = 32, \sigma = 4.3, n = 40\)

Hence the value of the test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

z = (33.8 - 32)/(4.3/sqrt(40))

z = 2.65.

Using a z-distribution calculator, with z = 2.65 and a right-tailed test, as we are testing if the mean is greater than a value, the p-value is of 0.0040.

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Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

[0.25, 2]

Step-by-step explanation:

We have

4t² ≤ 9t-2

subtract 9t-2 from both sides to make this a quadratic

4t²-9t+2 ≤ 0

To solve this, we can solve for 4t²-9t+2=0 and do some guess and check to find which values result in the function being less than 0.

4t²-9t+2=0

We can see that -8 and -1 add up to -9, the coefficient of t, and 4 (the coefficient of t²) and 2 multiply to 8, which is also equal to -8 * -1. Therefore, we can write this as

4t²-8t-t+2=0

4t(t-2)-1(t-2)=0

(4t-1)(t-2)=0

Our zeros are thus t=2 and t = 1/4. Using these zeros, we can set up three zones: t < 1/4, 1/4<t<2, and t>2. We can take one random value from each of these zones and see if it fits the criteria of

4t²-9t+2 ≤ 0

For t<1/4, we can plug in 0. 4(0)²-9(0) + 2 = 2 >0 , so this is not correct

For 1/4<t<2, we can plug 1 in. 4(1)²-9(1) +2 = -3 <0, so this is correct

For t > 2, we can plug 5 in. 4(5)²-9(5) + 2 = 57 > 0, so this is not correct.

Therefore, for 4t^2 ≤ 9t-2 , which can also be written as 4t²-9t+2 ≤ 0, when t is between 1/4 and 2, the inequality is correct. Furthermore, as the sides are equal when t= 1/4 and t=2, this can be written as [0.25, 2]

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

Answer:

  c = 9/4 = 2.25

Step-by-step explanation:

You want the value of c that satisfies the Mean Value Theorem for f(x) = √x on the interval [1, 4].

The Mean Value Theorem (MVT) tells you that for some value x=c in the interval [a, b], the slope of continuous function f(x) will be equal to the average slope between (a, f(a)) and (b, f(b)), the function values at the end points of the interval.

The end points of the interval are ...

  (1, f(1)) = (1, 1)

  (4, f(4)) = (4, 2)

Then the average slope is ...

  m = (y2 -y1)/(x2 -x1) = (2 -1)/(4 -1) = 1/3 . . . . average rate of change

The derivative of f(x) is ...

  f'(x) = 1/2x^(-1/2) = 1/(2√x)

We want to find c such that f'(c) = 1/3:

  1/3 = 1/(2√x)

  √x = 3/2 . . . . . . . . multiply by 3√x

  x = 9/4 . . . . . . . . square both sides

The value of c is 9/4 = 2.25.

Answer:

4

Step-by-step explanation:

x²+8x+11=0

x²+8x+(+4)²-(+4)²+11=0

Answer:

16

Step-by-step explanation:

x2+8x=  −11−11

28​=4→(4)2=16

x2+8x+16=x2+8x+16=  −11+16−11+16

(x+4)2=  55

16

Answer:

d is the answer

in think

Step-by-step explanation:

try it

Answer:

A

Step-by-step explanation:

Number of student=32

Number of girls=12

Number of boys=32-12

=20

Ratio of girls to boys=12:20

=6:10

=3:5

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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Answer:

29.9 to the 6th power for number 2

0.1 to the -9 th power

i think lol

its better than ?

Step-by-step explanation:

Step-by-step explanation:

One possible equivalent equation to the given formula is:

uppercase B = 3 uppercase V ÷ h

To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:

3/h * uppercase V = 3/h * (one-third uppercase B h)

Simplifying the right-hand side:

3/h * (one-third uppercase B h) = uppercase B

Substituting back in the original formula gives:

uppercase B = 3/h * uppercase V

Answer:

The best estimate of the mean of the population is 50,000 miles, which is the sample mean.

To make a better inference, we know that the 95% confidence interval for the mean is (49,306; 50,694).

Step-by-step explanation:

The unbiased point estimation for the population mean tread life is the sample mean (50,000 miles), as it is the only information we have.

Although, knowing the standard deviation, we can calculate a confidence interval to make a stronger inference.

We calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=50000.

The sample size is N=100.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3500}{\sqrt{100}}=\dfrac{3500}{10}=350\)

The degrees of freedom for this sample size are:

\(df=n-1=100-1=99\)

The t-value for a 95% confidence interval and 99 degrees of freedom is t=1.98.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.98 \cdot 350=694.48\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 50000-694.48=49306\\\\UL=M+t \cdot s_M = 50000+694.48=50694\)

The 95% confidence interval for the mean is (49306, 50694).

Answer: c and d

Step-by-step explanation: bc i have the same question on khan lol

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

Answer:

57327392393629324

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 10

y = -1

See pics for explanation:-

Hope it helps :)

Answer:

77.47°

75.96°

26.57°

Step-by-step explanation:

Given vertices of the triangle:

Find the vectors from A to B, B to C and A to C:

\(\begin{aligned}AB = B - A &=(x_B-x_A,y_B-y_A) \\&=(-3-(-2), 8-4)\\& = (-1, 4) \end{aligned}\)

\(\begin{aligned}BC=C-B &=(x_C-x_B,y_C-y_B)\\ &=(6-(-3),8-8)\\&=(9,0)\end{aligned}\)

\(\begin{aligned}AC = C - A &=(x_C-x_A,y_C-x_A)\\&= (6-(-2), 8-4) \\&= (8, 4)\end{aligned}\)

Use Pythagoras Theorem to calculate the magnitudes of the vectors:

\(|AB| = \sqrt{(-1)^2+4^2}=\sqrt{17}\)

\(|BC|=\sqrt{9^2+0^2}=9\)

\(|AC| = \sqrt{8^2+4^2}=4\sqrt{5}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Dot Product of two vectors}\\\\$a \cdot b=|a||b| \cos \theta$\\\\where:\\ \phantom{ww}$\bullet$ $|a|$ is the magnitude of vector a. \\ \phantom{ww}$\bullet$ $|b|$ is the magnitude of vector b. \\ \phantom{ww}$\bullet$ $\theta$ is the angle between $a$ and $b$. \\ \end{minipage}}\)

Rearrange the dot product formula to make θ the subject:

\(\implies \theta=\cos^{-1}\left(\dfrac{a \cdot b}{|a||b|}\right)\)

Use the rearranged dot product formula to find the angles between two pairs of vectors.

\(\boxed{\begin{minipage}{4 cm}\underline{Dot Product}\\\\$\textbf{u} \cdot \textbf{v}=u_1v_1+u_2v_2$\\\\where:\\ \phantom{ww}$\bullet$ $\textbf{u}=\left\langle u_1,u_2 \right\rangle$ \\\phantom{ww}$\bullet$ $\textbf{v}= \left\langle v_1,v_2 \right\rangle$ \\ \end{minipage}}\)

Angle A

\(\implies A=\cos^{-1}\left(\dfrac{AB \cdot AC}{|AB||AC|}\right)\)

\(\implies A=\cos^{-1}\left(\dfrac{-1 \cdot 8+4 \cdot4}{\sqrt{17} \cdot 4 \sqrt{5}}\right)\)

\(\implies A=\cos^{-1}\left(\dfrac{8}{4 \sqrt{85}}\right)\)

\(\implies A=77.47^{\circ}\; \sf (2 \; d.p.)\)

Angle C

\(\implies C=\cos^{-1}\left(\dfrac{BC \cdot AC}{|BC||AC|}\right)\)

\(\implies C=\cos^{-1}\left(\dfrac{9 \cdot 8+0 \cdot4}{9 \cdot 4 \sqrt{5}}\right)\)

\(\implies C=\cos^{-1}\left(\dfrac{72}{36 \sqrt{5}}\right)\)

\(\implies C=26.57^{\circ}\; \sf (2 \; d.p.)\)

Interior angles of a triangle sum to 180°.

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-77.47^{\circ}-26.57^{\circ}\)

\(\implies B=75.96^{\circ}\)

Therefore, the interior angles of the triangle with the given vertices are:

Answer:

36yx-64y-315x-4y^3x^3

Step-by-step explanation:

Expand and simplify (36yx-16y2²-315x)+(-4y³x³)

to get 36yx-16y x 2^2-315x-4y^3x^3

Simplifying further to get

36yx-64y-315x-4y^3x^3

The ratio which is equivalent to 30:20 is option C, 3:2.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

We have given that a 2-column table has 2 rows. Column 1 is labeled

The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.

Given ratio is 30:20

Or

3:2

Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.

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Step-by-step explanation:

17 miles = 1 day to work

14 miles =1 day to home

Therefore total miles driven in 5 days =

( 17×5) +(14×5) = 105+60

ANSWER =165 miles per week

Answer:

155 miles each week

Step-by-step explanation:

One day is 17 miles to and 14 miles home = 17+14 = 31

He does this 5 days a week

5 * 31 = 155 miles

Answer:

This is not a right triangle

Step-by-step explanation:

the bottom and side would have to be equal