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Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

Answer:

this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half

Step-by-step explanation:

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

Answer:

(13, -10, -7)

Step-by-step explanation:

Given

x+y+z=−4 .................. 1

2x+3y−2z=10 .................... 2

−x+2y−3z=−12 ................... 3

Reduce the equation to two equations, two unknowns:

Add eqn 1 and 3

y+2y+(z-3z) = -4-12

3y - 2z = -16 .......... 4

Also multiply eqn 3 by 2:

−2x+4y−6z=−24 ................... 5

Add 2 to 5:

3y+4y+ (-2z-6z) = 10-24

7y-8z = -14 ............... 6

Equate 4 and 6

3y - 2z = -16 .......... 4 * 4

7y-8z = -14 ............... 6 * 1

...............................................

12y - 8z = -64

7y-8z = -14

Subtract the resulting equations

12y-7y = -64+14

5y = -50

y = -50/5

y = -10

Substitute y = -10 into equation 4 to get z:

3y - 2z = -16

3(-10)-2z = -16

-30-2z = -16

-2z = -16+30

-2z = 14

z = 14/-2

z = -7

Substitute y = -10, z = -7 into eqn 1 to get x:

x+y+z = -4

x-10-7 = -4

x-17 = -4

x = -4+17

x = 13

Hence (x, y, z) is (13, -10, -7)

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.

Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:

a= 10 b= 6

Step-by-step explanation:

When multiplying exponents they should be added together and when dividing they should be subtracted from each other.

2+8=10 & 10-4= 6

Answer:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

Answer:

car car truck

Step-by-step explanation:

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

Answer:

4

Step-by-step explanation:

Answer:

11.7 hours

Step-by-step explanation:

According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.

Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is

f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2

Answer:

-14

Step-by-step explanation:

[tex]10 - 2(12) = - 14[/tex]

Answer:

x=6

Step-by-step explanation:

x−7=13

Step 1: Add 7 to both sides.

x−7+7=13+7

x=20

Answer:

x=20

Answer:

Can you format this a little better?

Answer: 7/8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Answer:

[tex]Mean = 4.35[/tex]

[tex]SD = 0.5655[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

[tex]p = 0.87[/tex]

Solving (a): Mean

[tex]Mean = np[/tex]

[tex]Mean = 5 * 0.87[/tex]

[tex]Mean = 4.35[/tex]

Solving (b): Standard Deviation (SD)

[tex]SD = np(1 - p)[/tex]

[tex]SD = 5 * 0.87(1 - 0.87)[/tex]

[tex]SD = 5 * 0.87 * 0.13[/tex]

[tex]SD = 0.5655[/tex]

Answer:

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Answer:

i love free points dont you

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

76 animals

Step-by-step explanation:

47+19+7+3= 76 animals.

Answer:

0 - 28 = -28

Step-by-step explanation:

To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.

Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi