what is the distance between the y intercept of the function f(x)=3(2)^x and the y intercept of the function g(x) represented by the table below

A: 2 units
B: 3 units
C: 8 units
D: 9 units​

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answer:

90%

Step-by-step explanation:

Answer:

112 Miles

Step-by-step explanation:

16 (per hour)  for 7 hours

16x7 (we Multiple the speed [since its per hour] the number of hours.)

112

Given:

Speed of Juan = 16 mph

Time traveled = 7 hours

To find:

Total distance traveled

Steps:

Total distance traveled is equal to speed into time traveled,

Total distance = Speed × time traveled

Total distance = 16 × 7

Total distance = 112 miles

Therefore Juan traveled 112 miles in 7 hours at the speed of 16 mph

Happy to help :)

If you need any help, pls feel free to ask

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

B

Step-by-step explanation:

X axis is moving either left or right

Y axis is moving up or down

as it's positive u move right so it's B I think

Answer:

\( - 2 \frac{3}{5} \div \frac{3}{5} = - \frac{13}{5} \times \frac{5}{3} = - \frac{13}{3} = - 4 \frac{1}{3} \)

\(2 \frac{1}{4} \div \frac{3}{4} = \frac{9}{4} \times \frac{4}{3} = 3\)

\( - \frac{10}{17} \div ( - \frac{15}{17} ) =\)

\( - \frac{10}{17} \times ( - \frac{17}{15} ) = \frac{2}{3} \)

\( 2.75 \div ( - 2.2) = \)

\( 2 \frac{3}{4} \div ( - 2 \frac{1}{5} ) = \)

\( \frac{11}{4} \div ( - \frac{11}{5} ) = \frac{11}{4} \times ( - \frac{5}{11} ) = - \frac{5}{4} = - 1.25\)

3 ⇒ 2 (1/4) / (3/4)

-1.25 ⇒ 2.75 / (-2.2)

2/3 ⇒ (-10/17) / (-15/17)

-4 1/3 ⇒ -2 (3/5) / (3/5)

Hope my answer helps you✌️

Mark BRAINLIEST

Answer:

Step-by-step explanation:

15s-100=350

the last one

IDK if you need this s=30

Answer:

15s-100=350

Step-by-step explanation:

Answer:

Beth's class left for the field trip at 7:13 A.M..

Step-by-step explanation:

To find out what time Beth's class left for the field trip, we need to subtract the time elapsed at the museum and the time it took them to drive there from 9:41 A.M.

The time elapsed at the museum was 1 hour and 33 minutes which is equivalent to 93 minutes.

To find out what time they left for the field trip, we need to subtract 55 minutes (the time it took them to drive there) and 93 minutes (the time they spent at the museum) from 9:41 A.M.

9:41 A.M. minus 55 minutes is 8:46 A.M..

8:46 A.M. minus 93 minutes is 7:13 A.M..

Therefore, Beth's class left for the field trip at 7:13 A.M..

I hope that helps!

Answer:

6:59am

Step-by-step explanation:

1 hour and 33 minutes = 93 minutes

55 minute ride to museum

93+55=148

60 minutes in 1 hour

148 divided by 60 = 2 hours 46 minutes

Time Left: 9:41

9.41-2.46

6.59

They left at 6:59am

Answer:

12%

Step-by-step explanation:

Percentage increase of something is often represented in a formula of a format like this:

X=Ar^t

Where X represents the total amount after t years.

A or 87000 in this case represents the starting value, which is this case is the starting population of the town. r or 1.12 represents the percentage increase, if it increases by 12% than the next year has 1.12 times as many people as the previous year so this is represented by 1.12 rather than say 0.12 which would indicate a 88% decrease instead.  t is the time, no. of years in this case, that has elapsed since 1996.

This formula basically means that a town population of 87000 increases by 12% for every year of time that elapses.

Hope this helped!

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

6 feet

Step-by-step explanation: you are welcome

Answer:165 pieces are damaged.

Step-by-step explanation:

Answer:

1 adult camel for every 11 baby camels, or 1:11

Answer:

8/12 in simplified form 2/3

Step-by-step explanation:

Please rate this 5 stars and thanks it!

Answer:

The answer is 32 miles

Step-by-step explanation:

First, you see that 56cm=64 miles

As u can tell 56-28=28

This means that you can just divide 64 by 2 which leads u to the answer of 32 miles

Answer:

32

Step-by-step explanation:

Answer:

The y-intercept in coordinate form is (0, 2.9), which the y-intercept represents the pickup fee which is $2.90 before any mileage

Step-by-step explanation:

Hello, I do apologize that no one responded for two hours.

1 - Understanding what it means to be a y-intercept

When mathematics presents the "y-intercept" its the unimaginative way of saying "Where the equation crosses the y-axis"

Looking at a graph we can deduce that, the y axis in traditional graphs is always at the x value of 0.

What can this mean for this situation?

We want to find out how much each person with 0 miles or no miles driven.

This will be our pickup fee alone

How can we do this?

Theres multiple ways, however the way I like is to set an equation to zero.

2 - Slope Intercept Form

We need to get it into the slope-intercept form using data given to us to use as our equation.

For reference the slope-intercept form is

y = mx + b

y = y value

m = slope

x = x value

b = y - intercept

2.1 - Find the slope

for y = mx + b we'll need to find our slope, m, and to do so we use the following formula

\(slope = m = \frac{\triangle y}{\triangle x} = \frac{change~in~y}{chnage~in~x} = \frac{y_2 ~ - ~ y_1}{x_2 ~ - ~ x_1}\)

To do this we need to assign x values and y values.

Our total cost is our y value, because its a total, and our variable is x which will be our miles.

(x value is always the variable, and our y value is always the totals)

So now looking at the data;

Gus;

$12.00 for a 6.5-mile journey

Tony;

$15.50 for a 9-mile journey

We can deduce at 6.5 miles we'll pay $12, and at 9 miles we'll pay $15.50

Because 6.5 is less than 9 our x1 and y1 will be deduced from that, and with that in mind, let's solve that equation.

POINT → (x, y)

(6.5, 12)

(9, 15.50)

\(\frac{y_2 ~ - ~ y_1}{x_2 ~ - ~ x_1} = \frac{15.50 ~ - ~ 12.00}{9 ~ - ~ 6.5} = \frac{3.5}{2.5} = 1.4\)

Our slope is 7/5, so therefore,

y = mx + b

      =

y = 1.4x + b

2.2 - Plug and chug to find our y-intercept, b.

We'll need to plug in a point into the unfinished equation to solve for b

y = 7/5x + b

In this instance let's use (6.5, 12)

(x, y)

12 = 1.4(6.5) + b

12 = 9.1 + b

-9.1  -9.1

2.9 = b

Lets plug that in to our y = mx + b

y = 1.4x + b

        ↓

y = 1.4x + 2.9

And would you look at that, just by setting up the equation we now know our y-intercept, now if you recall from earlier one of my notes said this:

POINT → (x, y)

This is the same thing as coordinate form I'm assuming, and as a result, we have all the information we need to answer the problem.

3 - Putting it together to answer the problem

 POINT → (x, y)

           =

Coordinate Form:

           =

        (x, y)

Now remembering what I said earlier, the y-axis, is always on x = 0

So our y-intercept in coordinate form is;

(0, 2.9)

This means;

The pickup fee is $2.90 which excludes any mileage.

See the answer for it put together

Hope this helps :)

Answer:

The answer is choice D.

Answer:4/5

Step-by-step explanation:

80% means 80/100 in fraction. We have to simplify the fraction by 80÷20 and 100÷20 = 4/5

So the answer is 4/5.

Answer:

Step-by-step 80 percent is 80\100 so

For the first one (4\5) 5x20=100 and 4x20=80 which is 80\100

so it should be 4\5

Please vote me for brainless :)

To resolve the proposed issue, an explanation is needed in which the subject is addressed

Answer:

13 square units

Step-by-step explanation:

Look at image attached

Divide shape into two rectangles

Rectangle 1:

width: 2 units

length: 5 - 1 = 4 units

AREA: 2 x 4 = 8 sq. units

Rectangle 2:

width: 1 units

length: 5 units

AREA: 1 x 5 = 5 sq. Units

Combine area of rectangles:

8 + 5 = 13 sq. Units

That is the area of the whole polygon.

Answer: The answer is 255 cm2

Step-by-step explanation:

So we are looking for the area of the right triangular prism. We first must start of by observing the lengths of each side. Once you have found out what is what multiply in order. First 12 x 5 = 60. Then multiply 13 x 15 which equals = 195. Finally you want to ad up the sums together to get 255 cm2.

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