Your friend's averages 56 miles per hour while driving to a college. On the return trip, your friend averages 48 miles per hour due to construction. The total driving time is 6 hours and and 30 minutes. How long does each trip take?

Answer:

~ $3.29

Step-by-step explanation:

$11.20 - $1.75 = $9.45

$9.45 - $0.48 5% = $8.97

$8.97 - $2.40 = $6.57

$6.57 ÷ 2 = $3.285 rounded to $3.29

Answer: 834,976

Step-by-step explanation:

Step-by-step explanation:

the y-intercept is the y value when x = 0.

the x-intercept is the x value when y = 0.

for x = 0

y = 0 / (0² - 1) = 0/-1 = 0

this automatically answers also our question about the x value when y = 0. we found this out already with the y-intercept.

the interception point with both coordinate axis is (0, 0).

Answer:

7

Step-by-step explanation:

[tex]f^{-1}(-33)=k \implies f(k)=-33 \\ \\ 9-6k=-33 \\ \\ -6k=-42 \\ \\ k=7[/tex]

Answer:

f^-1(33) = 7

Step-by-step explanation:

As the question is asking for the inverse function we do the following steps:

Change f(x) into y :

y = 9 -6x

Swap x and y :

x = 9-6y

Solve for y :

Subtract 9 from both sides :

x-9 = -6y

Divide both sides by -6 :

(x-9)÷ -6 = y

Change y back into f(x) :

f(x)  = (x-9)÷ -6

Now substitute -33 into x :

((-33)-9) ÷ - 6 =

-42 ÷ -6 =

+7

Hope this helped and have a good day

Answer: 74.539

Step-by-step explanation:

m<6 = 117° based on the same-side-interior angles theorem

m<7 = 63° based on the corresponding angles theorem

Angles 3 and 6 are same-side interior angles, therefore, based on the same-side-interior angles theorem, their sum equals 180 degrees because they are supplementary to each other.

Thus:

m<3 + m<6 = 180

Substitute

63 + m<6 = 180

m<6 = 180 - 63

m<6 = 117°

m<7 = m<3 [corresponding angles theorem]

m<7 = 63°

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Answer:

Step-by-step explanation:

Answer:

so you're answer is 30 inches in total because if you add up all the inches and the hours that's tire answer glad if i could help.

All calculations for answer in picture form

Answer:

There are 88 square inches needed to cover a box that is 4 in • 6 in • 2 in

Step-by-step explanation:

In order to cover the box you need to find the surface area of it. The formula for finding the surface area of a rectangular prism is 2 • ((w•l) + (h•l) + (h•w)). The dimensions of the box is 4 inches in length, 6 inches in width, and 2 inches in height.

Answer:

1 1/2 yards

Step-by-step explanation:

Give Brainliest if I helped!

La altura del cono es de 8 centimetros.

Sabemos que para un cono de radio R, altura H, y generatriz G se cumple la relación:

R^2 + H^2 = G^2

Resolviendo para la altura obtenemos:

H = √(G^2 - R^2)

En este caso sabemos que le diámetro es de 30 cm, entonces el radio será de:

R = 30cm/2 = 15cm

Y la generatriz es de 17cm, entonces G = 17cm

Reemplazando eso en la ecuación para la altura obtendremos:

H = √((17cm)^2 - (15cm)^2) = 8cm

Concluimos que la altura del cono es de 8 centimetros.

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The equation of the line in slope-intercept form is: y = -3/10x + 13/10.

Given the points, (1,1) and (11,−2). Follow the steps explained below.

Step 1: Find the slope of the line:

Slope (m) = change in y / change in x = (-2 - 1)/(11 - 1)

Slope (m) = -3/10

Step 2: Substitute m = -3/10 and (a, b) = (1, 1) into y = mx + b to find the value of b

1 = -3/10(1) + b

1 = -3/10 + b

1 + 3/10 = b

b = 13/10

Step 3: Substitute m = -3/10 and b = 13/10 into y = mx + b

y = -3/10x + 13/10

Thus, the equation of the line in slope-intercept form is: y = -3/10x + 13/10.

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The required midpoint of the given data is 16,  and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.

Here,
Arranging the time in minutes spent on reading a political blog in a day,
3 3 11 12 13 13 15 16 19 19 20 22 25 26 26
The required mid-point is 16.

Since the values vary from 3 to 26 and we have to make 5 classes,
So the number of
          classes     midpoint            frequency            cumulative
         0 - 5              2.5                          2                       2
         5 - 10             7.5                          0                       2
         10 - 15           12.5                         5                       7
         15  - 20         17.4                         4                       11
        20  - 25         22.5                        3                       14
        25  - 30         27.5                        2                       16

Thus, the required midpoint of the given data are shown, and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.

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I think what was meant here was -23 + a = -12.

a = 11

To solve for a, let’s subtract -12 from -23:

-23 - (-12) = 11

a = 11

Let's plug 11 in for reassurance:

-23 + 11 = -12

a = 11

Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $13,567

What is cash inflow from sales?

The cash inflow from sales indicates the amount of cash received from customers in the current based on sales made to customers, which is the sales revenue, cash and credit added together minus the balance of credit sales left uncollected from customers at the end of the year.

Cash inflows for Year 1=credit sales+cash sales+receivables

credit sales=$13249

cash sales=$6167

receivables= $5849

Cash inflows for Year 1=$13249+$6167-$5849

Cash inflows for Year 1=$13,567

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Full question:

Bailey Co earns$13249  of revenue on account and in $6167 cash revenue transactions in Year 1. Cash collections of receivables amount to $5849 in Year 1 with the remainder being collected in Year 2. Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $_

The value of the quotient 104/8 is 13

The quotient expression is given as

104/8

Express 104 as 80 + 24

So, we have

104/8 = (80 + 24)/8

Split the fraction in the above expression

So, we have

104/8 = 80/8 + 24/8

Evaluate the quotients

So, we have

104/8 = 10 + 3

Evaluate the sum

So, we have

104/8 = 13

Hence, the value of the quotient 104/8 is 13

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Using the z-distribution, it is found that since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

At the null hypotheses, it is tested if there is not enough evidence that the proportion is less than 0.75, that is:

[tex]H_0: p \geq 0.75[/tex]

At the alternative hypotheses, it is tested if there is enough evidence that the proportion is less than 0.75, that is:

[tex]H_1: p < 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]n = 72, \overline{p} = \frac{42}{72} = 0.5833, p = 0.75[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.5833 - 0.75}{\sqrt{\frac{0.75(0.25)}{72}}}[/tex]

z = -3.27.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -3.27, the p-value is < 0.01.

Since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

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Answer: 36 combinations

Step-by-step explanation:

Since you have 4 toppings, 3 bases and 3 sauces, you can just multiply them to get the different combos.

4 * 3 * 3

= 36

Answer:

30,000

Step-by-step explanation:

If not, try 25,000

Answer:

25,000

Step-by-step explanation:

brainlest please

Answer: x = [tex]\frac{20}{7}[/tex]

(or)

x = 2.86 ( rounded )

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x = 17 - 7

3.5x = 10

x = 10/3.5

x = [tex]\frac{20}{7}[/tex]

(or)

x = 2.86 ( rounded )

Answer:

The answer would be $16,660.

Step-by-step explanation:

The car would cost $16,660 after one year.

Answer:

0.250

Step-by-step explanation:

Given from the question, we know that the summation (adding all values together) of all P(x) values is equal to 1.

And, we do know that P(2) = P(4).

This means , we will subtract all the known P(x) values from 1 to get the value of P(2) + P(4).

P(2) + P(4) = 1 - 0.0425 - 0.3750 - 0.0625 - 0.0200 = 0.500

Since P(2) = P(4), we divide 0.500 by 2 to get the value of P(2) and P(4).

P(2) = P(4) = 0.500 ÷ 2 = 0.250

Answer:

I believe the answer is y=3,−3

Step-by-step explanation:

The top of the pole from the ground is 13.314798.

Given condition, formulate :

= 14 * sin (72°)

= 4 sin 72°

= 14 * 0.951057

= 13.314798

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant, cosine , cotangent , secant , sine , and tangent .

The trigonometric function can be described as being even or odd.

Odd trigonometric functions: A trigonometric function is said to be an odd function if f(-x) = -f(x) and symmetric with respect to the origin.

Even trigonometric functions: A trigonometric function is said to be an even function, if f(-x) = f(x) and symmetric to the y-axis.

Hence, the top of the pole from the ground is 13.314798.

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The number between 10 and 100 which has 5 base ten blocks and one of the digits is 4 will be 41.

Let the two digits be x and y

There are 5 base ten blocks therefore the sum of the numbers will be 5

i.e. x + y = 5                                                                                             ..eq-1

One of the digit is 4

So, let the value of x = 4

Putting the value of x in eq-1

4 + y = 5

y = 5 - 4

y = 1

Since tens placed number block is a greater than the ones block,

y > x

4 > 1

therefore 4 will be at tens place and 1 will be kept at ones place and number so formed will be 41.

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Answer: Option 2 should be the answer.

Step-by-step explanation: Real numbers are divided into two groups called rational and irrational numbers. Irrational numbers cannot be expressed as fractions.

Hopefully, this question will help you.

Have a great day!