Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart?

Answer:

y-intercept

Step-by-step explanation:

you only need the slope and points for point-slope form

Answer:False

Step-by-step explanation:

Failed vertical line test

Answer:

8

Step-by-step explanation:

4x2

Answer:

The answer is below

Step-by-step explanation:

Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.

In the first three hours the rain fell at a constant rate of 25mm per

hour, hence:

A(t) = 25t     0 ≤ t ≤ 3

The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.

The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:

[tex]A(t)=\left \{ {{25t\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 3} \atop {75\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 6 \atop {75+20(t-4)\ \ for\ 4\ \leq\ t\ \leq\ 6}} } \right. \\\\\left[/tex]

Answer:

-4/15

Step-by-step explanation:

I used my graphing calculator.

Answer:  [tex][5, \infty)[/tex]

On a keyboard, you would write [5, infinity)

The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.

[tex]y \ge 5[/tex] is the same as [tex]5 \le y[/tex] which is also the same as [tex]5 \le y < \infty[/tex] which may help lead to set up the interval notation answer.

Part 1

[tex]x = g(y), \ c \le y \le d\\\\\\x = 3+4y^2, \ 1 \le y \le 2\\\\\\\frac{dx}{dy} = 8y, \ 1 \le y \le 2\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+[g'(y)]^2}dy\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+\left[\frac{dx}{dy}\right]^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+(8y)^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+64y^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}\sqrt{1+64y^2}*ydy\\\\\\\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\[/tex]

In the last two steps I let u = 1+64y^2, so du/dy = 128y which leads to ydy = du/128.

Note the change in the limits of integration. If y = 1, then u = 1+64y^2 = 65. If y = 2, then 1+64y^2 = 257

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

Part 2

[tex]\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\\displaystyle A = 2\pi*\frac{1}{128}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\left(\frac{2}{3}u^{3/2}+C\right)\Bigg]_{65}^{257}\\\\\\\displaystyle A = \frac{\pi}{64}\left(\left(\frac{2}{3}(257)^{3/2}+C\right)-\left(\frac{2}{3}(65)^{3/2}+C\right)\right)\\\\\\\displaystyle A = \frac{\pi}{64}*\frac{2}{3}\left((257)^{3/2}-(65)^{3/2}\right)\\\\\\[/tex]

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

Part 3

[tex]\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^3}-\sqrt{65^3}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2*257}-\sqrt{65^2*65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2}*\sqrt{257}-\sqrt{65^2}*\sqrt{65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(257\sqrt{257}-65\sqrt{65}\right)\\\\\\[/tex]

[tex]\displaystyle A = \frac{\pi}{96}*257\sqrt{257}-\frac{\pi}{96}*65\sqrt{65}\\\\\\\displaystyle A = \frac{257\pi\sqrt{257}}{96}-\frac{65\pi\sqrt{65}}{96}\\\\\\\displaystyle A = \frac{-65\sqrt{65}\pi}{96}+\frac{257\sqrt{257}\pi}{96}\\\\\\[/tex]

Answer:

420m

Step-by-step explanation:

250m = 5cm

50m = 1cm

? = 8.4cm

50 x 8.4=

420m = 8.4cm

Step-by-step explanation:

firstly we need to find the scale factor

firstly we know that 250m=25000cm

25000/5=5000

so 1:5000 is scale factor.

Now let us find the distance between Sam's school and the library

if they are 8.4 cm apart on map it means that in actual distance they are

(8.4)*5000=42000 cm in reality

Answer:

x=2, y=8 or (2, 8)

Step-by-step explanation:

y=3x+2

y=7x-6

substitute y=7x-6 into y=3x+2

7x-6=3x+2

4x=8

x=2

then plug 2 into either one

y=7(2)-6

y=8

Check answers

8=3(2) + 2  | correct

8 =7(2)-6 | correct

Answer:

probable as

1.8 × 10 = 18

brainliest ig?

Answer: $150.00

Step-by-step explanation:

3+10=13

13+30=43

43+7=50

100+50=150

Answer:

Did you have 10 dollars??

Answer:

The first part is: 1/13

The second part is: 9/20

Step-by-step explanation:

Answer:

59 degrees (just taking a shot)

Step-by-step explanation:

A six sided polygon should have a total degree total of 720 degrees. 105+142+140+124+88+x=720. When you find x, it should equal 121 degrees. Since x and y are both on a straight line, that line has to be 180 degrees. These are supplementary angles. 180-121 should equal 59.

Answer:

-14,494 feet

Step-by-step explanation:

Answer:

x = 10  

Step-by-step explanation:

recall that for a square with side length "L", the area of the square can be expressed as

Area = L x L

or

Area = L²

in this case we are given that Area, A = 32x

and that Side Length, L = 8√5

If we substitute these into the equation, we will get:

Area = L²

32x = (8√5)²   (using the properticals of exponents, we can re-write the right side)

32x = (8)² · (√5)²  

32x = 64 · 5

32x = 320   (divide both sides by 32)

x = 320 / 32

x = 10  

Answer:

0.125

Step-by-step explanation:

to get the reciprocal of a number we divide the number by 1

in this case it would be 1 divide by 8

1/8 = 0.125

Answer:b) $3,846

Step-by-step explanation:

If your third month's revenue is estimated at $5,000, then $3846.15 is  second month's revenue.

percentage, a relative value indicating hundredth parts of any quantity.

Given that  business's revenue will grow at a compounded rate of 30% each month for the first 6 months.

Third month's revenue is estimated at $5,000.

We need to find the second month's revenue.

Let us assume the revenue of second month = x

Compounded rate = 30%

x + 30% of x = 5000

x  + 0.3x = 5000

1.3x = 5000

Divide both sides by 1.3

x = 3846.15

Hence, $3846.15 is  second month's revenue.

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Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

[tex]P(1D)=\frac{50}{10000}=0.005[/tex]

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]

                                      [tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

The total cost equation of renting the truck if Emma were to drive mm miles will be

C=2.5m+20

Let,

C=total cost

m=number of miles

the cost function is in the form of

C=am+b

the rental company charges a fee of $2.5 per mile so a=2.5

C=2.5m+b.....................(1)

if Emma were to drive m=2 miles, the total cost would be C=25

25=2.5\c*2+b

25=5+b

25-5=b

20=b

b=20..................put it back in equation 1

C=2.5m+b

Therefore, The total cost equation of renting the truck if Emma were to drive mm miles will be C=2.5m+20

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Answer:

C=2.5+20

Step-by-step explanation:

got right on delta

Answer:

Diverges

Step-by-step explanation:

The order of the numerator (2) is greater than the order of the denominator (1).  So the sequence will diverge as n approaches infinity.

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

[tex]\frac{222}{2222} =0.09999...\\[/tex]

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

Answer:

6x-16

Step-by-step explanation:

2(3x-8)

distribute the 2

2 x 3x = 6x

2 x -8 = -16

Answer:

Well, lets break this down.

If you try to add 26 + 26 it would be 52, which is above 48.

So, we have to find how many books he can read in one month.

All we have to do, is divide!

14 = dividend

26 = divisor

Step 1:

Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:

26⟌14 Then do the rest, ill wait.

once you have a answer, that is how much he reads a month.

now multiply by 48.

Answer:

hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk

Answer:

1 Is A

2 is B

3 is A

4a is D

4b is -53 but that's not an answer choice

4c is C

4d is D

Answer:

length 36, width, 9.

Step-by-step explanation:

you are trying to find "X" and it's 4 times the size of y, the whole thing is equal to 90. it would look like this

y=4x

y(4x) + x = 90

5x=90

90/5= 18

the rest is the "y" value, 72.

divide both by 2 because rectangles have 4 sides, and you get the answer above.

Answer:

Answer

Ammmm did u just gave free points

One equivalent ratio is 1:6

To get this ratio, you divide both parts of 2:12 by 2

2/2 = 1

12/2 = 6

So that's why 2:12 is equivalent to 1:6

From here we could multiply both parts by say 3

1*3 = 3

6*3 = 18

Meaning that 1:6 and 2:12 are equivalent to 3:18

==============================================

Two possible answers are 1:6 and 3:18

There are infinitely possible answers

Answer:

Here's how to solve

Step-by-step explanation:

67-43.

7-3=4

6-4=2

so 24 and to check if it is correct substitute 24 in the equation

24+43= 67

24 is your answer

Answer:

[tex]67 - 43 \\ \\ = 24 \\ then \\ 24 + 43 \\ = 67 \\ now \\ [/tex]