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Answer:

f(-2) = -6

Step-by-step explanation:

In the expression, to get f(-2);

we simply substitute the value of x with -2

We have this as;

f(-2) = -4(-2)^2 + 10

f(-2) = -4(4) + 10

f(-2) = -16 + 10

f(-2) = -6

Answer:

C) Mrs. Benjamin

C) 9 mrs. Benjamin

Answer: The answer is 0.20

Step-by-step explanation:  To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure.  We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...

0.5/2.5 = 0.2 which is our correct answer.  I hope this has been of use to you :)  If you have any other questions please do not hesitate to ask!

Answer:

See proof below.

Step-by-step explanation:

Statements                                           Reasons

1. Seg. DE congr seg GF                     1. Given

2. <1 congr. <2                                     2. Given

3. DE || GF                                            3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel

4. DEFG is a parallelogram                4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.

Answer:

49.53 nautical miles

Step-by-step explanation:

Adding 36 and 21 we get 57 miles.

57 converted to nautical miles would be 49.53

Answer:

300,000 liters

Step-by-step explanation:

Let us have the measurements in cm

100 cm = 1 m

so the measurements are multiplied by 100

we have this as;

1500 by 1000 by 200

The volume is the product of the 3

This is :

1500 * 1000 * 200 = 300,000,000 cm^3

Mathematically, 1 liter = 1000 cm^3

300,000,000 cm^3 will be ;

300,000,000/1000 = 300,000 liters

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer:

Y=-3X+5

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

https://brainly.com/question/10218601

#SPJ2

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

Answer:

2x+5+2x +3x=7x+5       2x +5+ 2x + 3x = 7x+5

Step-by-step explanation:

Answer:

about 7.8

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=8^2

2+b^2=64

B^2=62

B= about 7.8

Answer:

0.02

Step-by-step explanation:

High schools A :

Percentage of participants in on the school athletic team = 20%

Pa = 20% = 0.2

High school B:

Percentage of participants in on the school athletic team = 18%

Pa = 18% = 0.18

The mean of sampling distributon is :

Pa - Pb

0.2 - 0.18

Hence, Mean of sampling distribution is 0.02

Answer:

[tex]6\frac{1}{3} or \frac{19}{3}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(1+1x)(1-2x+1)(1+2x-1)  Equation/Question

Step 2

(1+1x)(1-2x+1)(1+2x-1)  Remove parenthesis

-2x^2+2-4x^3+4x+2x^2-2

Step 3

-2x^2+2-4x^3+4x+2x^2-2  Simplify

-4x^3+4x

Answer

-4x^3+4x

Hope this helps

Answer:

2x(1+x)(-2x+2)

Step-by-step explanation:

(1+x)(1-2x+1)(1+2x-1)

(1+x)(-2x+2)(1+2x-1)

(1+x)(-2x+2)*2x

2x(1+x)(-2x+2)

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Answer:

(see below)

Step-by-step explanation:

To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:

1 in expanded form is 1.

11 in expanded form is (10 + 1).

111 in expanded form is (100 + 10 + 1).

So that means that:

1138 in expanded form is (1000 + 100 + 30 + 8).

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Answer:

4x

Step-by-step explanation:

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Answer:

c one demonstrates the distributive property