Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in slope-intercept form to find the total distance y Geoff travels after x hours.

Answers

Answer 1

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

Answer 2

Answer:

y−18=3.5(x−5)

Step-by-step explanation:

from mcgraw hill


Related Questions

Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?

Answers

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]

At x = 8

MP = 72 + 30(8) - 3(8)²

     = 72 + 240 - 192

     = 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= [tex]\frac{Q}{x}[/tex]

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

                             = 72 + 90 - 36

                             = 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put [tex]\frac{dQ}{dx} = 0[/tex]

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?

Answers

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

convert 2.5 tons into pounds

Answers

i’m pretty sure it’s 5000 pounds

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Players on a basketball team compared the total number of points they scored in a game. The results are shown on the circle
graph.
If there were 88 points scored overall, how many more points were scored by Dakota than by Rudy?
A)
16
B)
24
C)
28
D)
32

Answers

Answer: i think B

Step-by-step explanation:

88(4/11)-88(1/11)

As part of a survey, 150 students were asked if they eat breakfast on school days. Of these students, 45 stated they eat breakfast on school days What percentage of the students in the survey stated they eat breakfast on school days?

Answers

Answer:

30 students

Step-by-step explanation:

Total number of students = 150

Of these students, 45 stated they eat breakfast on school days.

We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :

[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]

Hence, out of 150, 30 students stated they eat breakfast on school days.

in the triangle DEF, angle D measures 3x, angle E measures 6x+12, and angle F measures 5x. what is the value of x

Answers

Answer:

x = 12

Step-by-step explanation:

3x + 6x + 12 + 5x = 180

14x + 12 = 180

14x = 168

x = 12

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4


I Will Mark Brainliest

Answers

Answer:

bcd

Step-by-step explanation:

Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles​

Answers

Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704


In how many ways
can 4 students, Sue,
Jan, Kim, and Pat come
in 1st
, 2nd, 3rd, and 4th
place?

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

I need help please. Whatever you can with the 1st question

Answers

What the other person said:)))))

0
100%
What is a decimal that is equivalent to the fraction 12/100?

Answers

Answer:

12%

Step-by-step explanation:

12/100

12%

Answer:

0.12

Step-by-step explanation:

divide 12 by 100 which would be moving the decimal point 2 times to the left.

Independent Practice


Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.

2z3 + 12z2 – 5z – 30


A.
z2; –5


B.
2z; –5


C.
2z2; –5


D.
2z2; 5

Answers

Answer:

C.

2z2; –5

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

( z + 6 ) ( 2 z 2 − 5 )

Answer:

2z^2; –5

Step-by-step explanation:

2z3 = 2 • z • z • z 12z2

= 2 • 2 • 3 • z • z

The GCF is 2z2.

–5z3 = –1 • 5 • z • z • z

–30 = –1 • 5 • 6

The GCF is –5.

Find the total surface area of the pyramid.
4 in.
6 in.
6 in.

Answers

the answer is b!!!!!!!!!

Answer:

84 in²

Step-by-step explanation:

[tex]S_{A} = A_{L}+A_{base}[/tex]

[tex]S_{A}[/tex] = 4(1/2 * 6 * 4) in² + 6 in * 6 in

[tex]S_{A}[/tex] = 2(24) in² + 36 in²

[tex]S_{A}[/tex] = 48 in² + 36 in²

[tex]S_{A}\\[/tex] = 84 in²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Megan has 2 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles in rational number form?
A.
5/2
B.
2/8
C.
2/5
D.
5/8

Answers

Answer:

A. 5/2

Step-by-step explanation:

There are 5 blue marbles and 2 red marbles. This means that the ratio is 5:2. 5/2 is another way to say 5:2 so option A is the correct answer.

If this answer has helped you, please mark it as the brainliest

Answer:

d

Step-by-step explanation:

Convert 12 radians to degrees. Round your answer to the nearest tenth.

Answers

Answer:

687.5

Step-by-step explanation:

If "if p , then q " is the conditional statement, then "if q , then p " is the converse.

True
False

Answers

Answer:A true

Got it right in the odyssey ware

Step-by-step explanation:

help answer this for me it will help i will give u extra points

Answers

Answer:

a. 3

Step-by-step explanation:

get 20% of 60= 12

and 25% of 60= 15

15-12=3

Answer:

Step-by-step explanation:

b

Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year at the fair?

Answers

Answer:

She spent 8 dollars.

Step-by-step explanation:

24 divided by 3 is 8

What’s the answer for the last one

Answers

Answer:

its 14

Step-by-step explanation:

because each cookie is 10 and the 2 bananas are 2 so one banana is 1 and then the other thing whatever it is is 3 each so 10*1=10+1+3=14

hopefully this helps!

Question on picture!!!!!!!!

Answers

Answer:

1st option

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use (3, 8 ) , that is x = 3 when y = 8 , then

8 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

In the figure, d || m. What is the value of x?

Answers

Answer:

x = 53

Step-by-step explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

Which group of numbers is ordered from least to greatest?
A. 4/5,−0.9,−3
B. −3,−0.9,4/5
C. −0.9,4/5,−3
D.4/5,−3,−0.9

Answers

Answer:

B. −3,−0.9,4/5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

−3,−0.9,4/5

= -3, -0.9, 0.8.

Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.

what is the answer?​

Answers

Answer:

27

Step-by-step explanation:

he was left with no pencils

pls help pls for brainliest

Answers

i’m pretty sure it’s b

Answer:

I think the answer could be C

Step-by-step explanation:

Sorry if im wrong

You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?

Answers

Answer:

1/6

Step-by-step explanation:

I think it’s 1/6
I hope it’s help

Can someone please help?​

Answers

1,4 and 5,8 are both congurant angles I hope that helps

2. What does y equal? *
y+3/4 = 6

Answers

Answer:

3rd option

Step-by-step explanation:

Given

y + [tex]\frac{3}{4}[/tex] = 6 ( multiply through by 4 to clear the fraction

4y + 3 = 24 ( subtract 3 from both sides )

4y = 21 ( divide both sides by 4 )

y = [tex]\frac{21}{4}[/tex] = 5 [tex]\frac{1}{4}[/tex]

pls help with this !!!!!!!

Answers

Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°

Answers

Answer:

A.

Step-by-step explanation:

22+(2x + 16)+90=180

combine like terms: 90+22+16=128

180-128=52

52=2x

52/2 = 2x/2

26 = x

(2*26+16) - angle B

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

26.39

Step-by-step explanation:

It's a right triangle, so because of how trigonometric functions work:

[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]

There's really no better way than to input it into a calculator.

So the only thing left is to round to the nearest hundredth.

Answer:

I want to say it is 30 digresses

Step-by-step explanation:

I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess

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