A radar gun measured the speed of a baseball at 103 miles per hour. If the baseball was actually going 102.8 miles per hour, what was the percent error in this measurement?



Do not include the percent sign (%) in your answer.



Round your answer to two decimal places after solving for the percent.

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

[tex]c=-2[/tex]

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

[tex]f(-2)=0[/tex]

Therefore, the correct option is d.

Answer:

b and c

Step-by-step explanation:

took test

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

C. its 7.5 per land

Step-by-step explanation:

Answer:

7.50 per lawn

Step-by-step explanation:

for two lawns it is 15 dollars and 15/2=7.50

so for 1 lawn it is 7.50

Answer:

Factored is 3(3x+1)

Simplified is 9x+3

I'm not sure which one you need.

Answer:

A: The cube of a number less than the square root of the number.

Step-by-step explanation:

None

Answer:

1. x=7/3

2.y=9/-8

3.x=-2/3

4. x=9

Step-by-step explanation:

1. divide by -3 on both sides

-3x=-7

x=7/3

2. -16y=18

divide by -16 on both sides

y=18/-16

simplify by 2

y=9/-8

3. 9x=-6

divide by 9 on both sides

x=-6/9

simplify by 3

x=-2/3

4. 4x=36

divide by 4 on both sides

x=9

Hope this helps!

Answer:

answer is c

Step-by-step explanation:

Mark my answer as brainliest

Answer:

a) 1.25  , 2

b)  A

Step-by-step explanation:

a) x=1    y = 1/4 x1³ - 1² + 2 = 1 1/4 = 1.25

   x=4   y = 1/4 * 64 - 16 + 2 = 2

b)  curve A

Answer:

a) i) when x = -2, y = -4

ii) when x = -1, y = 0.75

iii) when x = 1, y = 1.25

iv) when x = 4, y = 2

b) graph A

Step-by-step explanation:

[tex]y = \frac{1}{4} {x}^{3} - {x}^{2} + 2[/tex]

[tex]y = \frac{1}{4} {( - 2)}^{3} - {( - 2)}^{2} + 2[/tex]

[tex]y = - 2 - 4+ 2[/tex]

[tex]y = - 4[/tex]

[tex]y = \frac{1}{4} {( - 1)}^{3} - {( - 1)}^{2} + 2[/tex]

[tex]y = - \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{3}{4} \: or \: 0.75[/tex]

[tex]y = \frac{1}{4} {( 1)}^{3} - {( 1)}^{2} + 2[/tex]

[tex]y = \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{5}{4} \: or \: 1.25[/tex]

[tex]y = \frac{1}{4} {( 4)}^{3} - {( 4)}^{2} + 2[/tex]

[tex]y = 16 - 16 + 2[/tex]

[tex]y = 2[/tex]

Answer:

Speed of train from station M = 85 miles per hour

Speed of train from station N = 90miles per hour

Step-by-step explanation:

Given that the distance between two points M and N is 380 miles

Suppose the speed of train M is x

So, the speed of train N is 5 + x

Formula to use:

distance = speed x time

For the train from point M

d = x * 2

d = 2x

For the train from point N

d = (5 + x) * 2

the above 2 distances plus 30 miles equals 380 miles

Equation:

2x + 2(x+5) + 30 = 380

2x + 2x + 10 + 30 = 380

4x + 40 = 380

4x = 380 - 40

4x = 340

x = 340/4

x = 85 mph for train M

Now put the value in the second train's speed

x + 5

85 + 5

= 90 mph for train N

(https://brainly.com/question/12233662)

Hi there.

To find the value of f(-5), we need to substitute x = -5 in the equation.

[tex]f( - 5 ) = 4(3 - ( - 5))[/tex]

Now then, know the basic rules of multiplying in the negative.

When you multiply the negative with the negative, you will get the positive.

Thus, - (-5) = 5

[tex]f( - 5) = 4(3 + 5) \\ f( - 5) = 4(8)[/tex]

Then distribute 4 inside.

[tex]f( - 5) = 32[/tex]

Therefore, the answer is f(-5) = 32

Answer:

Sorry Bro I can't understand

since she didn't have any money in there when she first started, and she puts it in every month, the correct answer is

y = 230x

hope this helps!!

Answer/Step-by-step explanation:

Given, y = k√x

Let's find the following:

a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x

Thus:

16 = k√64

16 = k*8

Divide both sides by 8

16/8 = k

k = 2

b. To find F, substitute k = 2, and x = 100 into y = k√x

Thus:

y = 2√100

y = 2*10

y = 20

F = 20

c. To find x, substitute k = 2, and y = 10√2 into y = k√x.

Thus:

10√2 = 2√x

Divide both sides by 2

(10√2)/2 = √x

5√2 = √x

Square both sides

x = (5√2)²

x = 25*2

x = 50

d = 50

Answer:

0.82

Step-by-step explanation:

Answer:

-7<=t<=-4

Step-by-step explanation:

from negative seven to negative four there is no decreasing, only increasing.

Answer: Choice C) [tex]4 \le t \le 8[/tex]

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

Explanation:

The point (4,5) is on the blue curve, and so is (8,9)

Draw a straight line through these points. This line has positive slope because it moves upward as we move from left to right, so there's a positive average rate of change from t = 4 to t = 8. Generally the curve goes upward as we move from t = 4 to t = 8.

Use the slope formula to compute the average rate of change if needed. It appears your professor doesn't want the actual numeric value, but just wants to know which interval corresponds to a positive average rate of change.

Answer:

PR=21

Step-by-step explanation:

make x+1 and 5x-79 equal bec it is isosceles triangle. So x+1=5x-79. Then isolate x.

4x=80

x=20

Plug x in the PR equation or PQ equation

5(20)-79

Which equals 21

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number [tex]\times[/tex] Fourth number = Second number [tex]\times[/tex] Third number

First of all, let us check the two products.

5 [tex]\times[/tex] 64 = 320

And the second product:

80 [tex]\times[/tex] 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

Answer:

Solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Step-by-step explanation:

We need to solve the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex]

According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets

So,

[tex](6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419[/tex]

First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51

Now, we will multiply 2.69 with 3.51 to get the final result.

The final result is 9.4419

So, solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Answer:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Step-by-step explanation:

Answer:

[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]

Answer:

100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.

Step-by-step explanation:

Answer:

Additive property of length

Step-by-step explanation:

Additive property of length

Answer:

Step-by-step explanation:

V≈1615.97m³

Answer:

1615.968 m^3

Step-by-step explanation:

V = h/3 * π * r^2

V = 5.6/3 * π * 16.6^2

V = 1615.968 m^3

AB = 17

CD = 25

x = 17

hope this helps!!

Answer:

17

Step-by-step explanation:

The correct answer would be 17!

There are essentially two ways that I know to solve this.

One is to guess.

The other is to find the prime factors of 96. For an integer to be a perfect square, each prime factor has to occur an even number of time. Therefore k would need to be the product of whatever primes occur in 96 an odd number of times.

Given that 9+6 is divisible by 3, we know that 96 is divisible by 3. Doing the division, we find that 96 = 3 * 32.

The prime factor 3 only occurs once. Therefore k must be a multiple of 3.

32 is 2 raised to the 5th power. This is an odd number of 2’s. We need one more. Therefore k must be a multiple of 2.

Therefore the smaller possible value of k is 6.

96 * 6 is a perfect square. It is the same as 64 * 9, or 24 * 24.

Hope it helps!

Answer:

14

Step-by-step explanation:

10+4=14

Answer: 14

Step-by-step explanation: 4 + 10 = 14 because , THE 10 is UP the 4 ADDS up so since it’s 4 +10 it would be 14. Cause you add 4 UP and equals 14.