Given a polynomial f(x), if (x + 7) is a factor, what else must be true

А prism has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another. Therefore, option B is the correct answer.

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

The cross section of prism is the shape obtained when the prism is intersected by a plane. If the prism is cut by a plane horizontally, parallel to the base, then the shape of cross section will be equal to the shape of base.

Therefore, option B is the correct answer.

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Answer:

Fish Tank

Step-by-step explanation:

This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

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Answer:

1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162

2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18

3. Yes there is a outlier. and i believe it's 82

4. i believe the mean will be 80 but then divided by 5 will be 16

hope this helped :D

Step-by-step explanation:

Answer:

No figure shown.

Step-by-step explanation:

Answanswer:

the answer is 4,320.

Step by-step explanation:

The reason the volume is this is becuase you first need to know the volume.

V= L x W x H. (Length and width are also called base.)

Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420

Answer:

4

Step-by-step explanation:

we have hypotenuse and opposite so we can use sin

sin(45) =O/4√2

rearrange

sin(45)x4√2 =O

=4

Answer:

5m+4

Step-by-step explanation:

(5m)+5(1)-1

5m+5-1

Answer:

5m+4

Step-by-step explanation:

You basically do the distribution property with the 5(m+1)= 5(m)+5(1)-1

5m+5 - 1

5m+4

Answer:

1200 hope this helps you;)

Answer:

1200 lol

Step-by-step explanation:

The Answer Is 35 Inches Squared

Answer:36

Step-by-step explanation:

The intersecting lines cross at one point

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be represented as A

Let the second line be represented as B

Now , the lines A and B are not parallel lines and they intersect

So , the point of intersection of the two lines is P

The coordinates of the point of intersection is P ( x , y )

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Hence , the lines intersect at one point

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Answer:

48

Step-by-step explanation:

16/10=1.6

1.6X30=48 :)

Answer:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = log_4(x)[/tex]

[tex]x = 0.5[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(0.5) = log_4(0.5)[/tex]

Apply law of logarithm

[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(0.5) = -0.5[/tex]

[tex]x = 1[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(1) = log_4(1)[/tex]

Express 1 as 4^0

[tex]f(1) = log_4(4^0)[/tex]

Apply law of logarithm

[tex]f(1) = 0*log_4(4)[/tex]

[tex]f(1) = 0[/tex]

[tex]x = 2[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(2) = log_4(2)[/tex]

Apply law of logarithm

[tex]f(2) = \frac{log(2)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(2) = 0.5[/tex]

[tex]x = 4[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(4) = log_4(4)[/tex]

[tex]log_a(a) = 1[/tex]

So:

[tex]f(4) = 1[/tex]

[tex]x = 8[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(8) = log_4(8)[/tex]

Apply law of logarithm

[tex]f(8) = \frac{log(8)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(8) = 1.5[/tex]

So, the complete table is:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Answer:4,67

Step-by-step explanation:

Answer:

Quadrilateral MNOP is a rectangle.

Step-by-step explanation:

Quadrilateral MNOP is a parallelogram, but not a rectangle.

A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.

M(-1,1), N(1,-2),O(5,0), and P(3,3)

MN=√13

NO=√20

OP=√13

PM=√20

This means opposite sides are equal.

Slope of MN = -2/3

Slope of NO=2

The Slope of MN * The Slope of NO =-4/3 ≠ -1

This means the angle between adjacent sides is not equal to 90°

This means MNOP is not a rectangle

The Slope of MO = -6

The Slope of NP = 2/5

The Slope of MO * The Slope of NP =-12/5 ≠ -1

This means diagonals do not intersect at right angles.

This means MNOP is not a rhombus.

Slope of MN = -2/3

Slope of OP = -2/3

Slope of MN =Slope of OP

Similarly, Slope of MP =Slope of NO

So, quadrilateral MNOP is a parallelogram, but not a rectangle.

Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.

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Answer:

A. H0:p<0.0016

H1:p≥0.0016

Step-by-step explanation:

An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.

This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:

[tex]H_0: p < \frac{16}{10000}[/tex]

[tex]H_0: p < 0.0016[/tex]

At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So

[tex]H_1: p \geq 0.0016[/tex]

The correct answer is given by option A.

Answer:

-21

Step-by-step explanation:

-12+(-9)= -21

Answer:

-21 is the answer to this question

Answer:

15 x /2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Hope this helped. The answer is in the picture.

○( ＾皿＾)っ

Answer: I can think of is c but tell me if I'm wrong

Step-by-step explanation:

Answer:

convert it to improper fractions first

Step-by-step explanation:

4 x 7 + 3 = 31

So, 7   3/4 = 31/4

Similarly, 5 x 2 + 2 = 12

So, 2  2/5 = 12/5

Now we have,

31/4 - 12/5

Make the denominators same....

Multiply both the denominators by each other...

4 x 5    and 5 x 4 = 20 both the denominators equal to 20.

Now multiply the numerators like that

so, 31 x 5  and 12 x 4

equals to 151/20  and 48/20

Now subtract both ...

151-48 = 103

So the answer is 103/20

Hope it helps!!!

Answer:

B.

Step-by-step explanation:

Answer:

this is the answer!!

Step-by-step explanation:

Answer:

65.52

Step-by-step explanation:

−3.9×−5.6×3

Multiply −3.9 and −5.6 to get 21.84.

21.84×3

Multiply 21.84 and 3 to get 65.52.

65.52