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Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

Answer:

850.9 feet

Step-by-step explanation:

The horizontal distance between Ryan and the dolphin is 850.907 feet.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Ryan is 228 feet above the water and the angle of depression to the dolphin is 15.

Using trigonometry

tan 15 = 228/ x

x= 228/ tan 15

x= 228 / 0.26794919243

x = 850.907  feet

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Answer:x=35 because if you add the terms then your equation would be 4x+40=180 because it’s a 180 degree line.

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

3x-23=28

3x-23+23=28+23

3x=51

x=17

Answer:

15 cats

Step-by-step explanation:

Answer:

£3,692

Step-by-step explanation:

First four years

A = p(1 + r/n)^nt

P = £2350

r = 4.2% = 0.042

n = 1

t = 4

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Next 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Answer:

The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.

Step-by-step explanation:

The speed of the train is 320 miles per hour.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

The speed of the TGV train can be calculated using the formula:

Speed = distance/time

where distance is given in miles and time is given in hours.

In this case,

The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.

Substituting these values into the formula, we get:

Speed = 800 miles / 2.5 hours

Simplifying the expression on the right-hand side, we get.

Speed = 320 miles per hour

Therefore,

The speed is 320 miles per hour.

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Step-by-step explanation:

PLS MARK ME AS BRAIN LIST ANSWER

Answer:

I know that many people have helped u and I appreciate that you are thanking them.

Step-by-step explanation: Happy early Valentine’s Day!

Answer:

yw

Step-by-step explanation:

Answer:

£234.90

Step-by-step explanation:

270(1-13/100)

lets break it down:

step 1=  13/100=0.13

step 2= 1-0.13=0.87

step 3= 270 x 0.87=234.9

final answer=£234.90

i hope it helps

Answer:

divide 5.125 by 1

Step-by-step explanation:

done bye

a stack of 200 file folders is 5.125 inches tall what is the thickness of each folder?

0.025625

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

Answer:

5√5

Step-by-step explanation:

Answer:

siny=xz/yz

sin45=y/15√2

15√2×1/√2=y

y=15

Answer:

Answer:

e = -1

Step-by-step explanation:

1. 9e + 4 = 5e + 14 + 14e

2. 9e = 5e + 10 + 14e

3. 9e = 19e +10

4. -10e = 10

5. e = -1

Hope that helps

Answer:

e - 10

Step-by-step explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

Answer:

Exact form: x = - 1/2

Decimal form: x = - 0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=-1/2

Step-by-step explanation:

Hope I helped!

Answer:

$348.82

Step-by-step explanation:

240 +86=326

326× 7%= 22.82

326+22.82= $348.82

Answer:

$348.82

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

The x-intercept of a function always occurs where y is equal to zero is true.

Given,

The x-intercept of a function always occurs where y is equal to zero.

We need to find whether the given statement is True or False.

The x-intercept is the point where the line passes through the x-axis.

We need to put y = 0.

The y-intercept is the point where the line passes through the y-axis.

We need to keep x = 0.

Check the statement.

The x-intercept of a function always occurs where y is equal to zero.

This is a true statement because in order to find the x-intercept we need always keep y = 0.

Thus the given statement-

The x-intercept of a function always occurs where y is equal to zero is true.

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Answer:

0

Step-by-step explanation:

Answer:

The roots(zeros) are :x=-3,-1,2,4

Step-by-step explanation:

The answer is A.