van wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
A. 1 × 32, 2 × 16, 16 × 2, 32 × 1
B. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 32 × 1
C. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 8 × 4, 12 × 3, 32 × 1
D. 1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1

Answer:

x = -5/2

Step-by-step explanation:

From the quadratic equation

the axis of symmetry for quadratics of the form

y = ax² + bx + c is

x = -b/2a

x² + 5x + 9

x = -5/2

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**But it's not my answer**

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Answer:

48.6

Step-by-step explanation:

Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;

This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30

f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30

f(30) = 1.8(30) - 5.4

f(30) = 54 - 5.4 = 48.6

Prediction at x = 30 is 48.6

Answer:

10.5

Step-by-step explanation:

built different

Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.  5.5 is the the length of Line segment G D.

A triangle is a polygon that has three vertices on each of its three sides. The point shaped inside the triangle is equivalent to 180 degrees. It implies that the amount of the inside points of a triangle is equivalent to 180°. This is a polygon with the fewest sides.

To put it another way, a triangle is a two-dimensional figure with three sides and interior angles of 180 degrees. Six main types of triangles are distinguished by their angles and side lengths. Allow us to examine exhaustively about the six kinds of triangles. In light of the length of the sides, the triangle is arranged

EG / GD = FH / HD

6 / GD  = 8 / 2

GD = 22 / 4

GD  = 5.5

Therefore, 5.5 is the the length of Line segment G D.

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Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

[tex]\mu[/tex] = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤  (C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 0.88

(C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 1.175

c = [tex]\mu[/tex] +  1.175 × [tex]\sigma[/tex]

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

DE being a midsegment means that D is a midpoint. Then BD = DA, or x = 5.

Answer:

No evidence .because the configurations factors and failure mode are independent

Step-by-step explanation:

Determine if there is sufficient evidence to conclude that configuration affects the type of failure

Number of configurations = 3

Number of failures = 4

assuming Pij represents proportion of items in pop i of the category j

H0 : Pij = Pi * Pj,  I = 1,2,-- I,  j = 1,2,---J

Hence the expected frequencies will be

16.10 , 43.58 , 18, 12.31

7.5,  19.37, 8 , 5.47

10.73, 29.05, 12, 8.21

x^2 = 13.25

test statistic = 14.44. Hence the significance level where Null hypothesis will be acceptable will be = 2.5%

Answer:

of what............? you did not finish the question ⁉️

Answer:

n = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify + set up

8n + 4 = 4 · 13

Step 2: Solve for x

Answer:

From the origin , move 3 units to the right and 2 units up. B

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

Answer:

25 yards is equal to 75 ft

Answer:

75 feet

Step-by-step explanation:

1 yard=3ft

so 25 times 3 equals 75 feet :)

Answer:

-2.76

-2.57

-2.5

-1.85

-1.58

2.5

2.85

Hopefully this is what you mean. Have a nice day!

Step-by-step explanation:

Answer:

1/5 of the students are 4th graders

Answer:

It would result in a constant line of [tex]y=3[/tex].

Step-by-step explanation:

[tex]f(x)=2x+1[/tex]

[tex]f(1)=2(1)+1[/tex]

[tex]f(1)=2+1[/tex]

[tex]f(1)=3[/tex]

[tex]y=3[/tex]

See the graph for a visual.

Answer:

[tex]t - 3.2 \le 7.5\\[/tex]

Step-by-step explanation:

Given

Represent as inequality

Taking the statement one at a time

So, the inequality is:

[tex]t - 3.2 \le 7.5\\[/tex]

1.)

A) BME

B) MER

C) Mm

D) xBy

E) Straight

F) REB

G) MEB and BER

H) xBy

Answer: spotting trends in data

Step-by-step explanation:

Answer:

70 feet

Step-by-step explanation:

as perimeter of triangle =

23+15+32= 70 feet

Answer:

Solution given:

side 1=23ft.

side 2=15ft

side 3=32ft

we have

perimeter=sum of all sides

=23+15+32=70ft

70ft tape will be needed.

I hope it will help you.

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

Answer:

C

Step-by-step explanation:

Answer:c

Step-by-step explanation:the answers we’ll change we careful

Answer:

0.654

Step-by-step explanation:

There are 12 sweets in a bag.

4 are lemon flavour.

4 are caramel flavour.

4 are orange flavour.

Jude takes at random 3 sweets at the same time.

Work out the probability that exactly 2 of the sweets are the same flavour.

Probability = Required outcome / Total possible outcomes

Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange

Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144

Total possible outcomes = 12C3 = 220

P(exactly 2 are same flavor) = 144 / 220 = 0.654

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Answer:

  A.  18

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...

  A = 1/2(3 +9)(3) = 18

The area of the trapezoid is 18 square units.

(1/2x +3)²

Refer to the above picture for complete calculation...

Answer:

Step-by-step explanation:

1/4 x^2 + 3x + 9

Answer: (1/2x + 3)^2

Now we have to explain it.

If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.

[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]

[tex](\frac{1}{2}+3)^2[/tex]

Answer:

Step-by-step explanation:

The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

Given that, the perimeter of the bookend is 58 centimeters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Now, the perimeter is

5m-14+2m-7+3/2 m+2+3m+8=58

⇒ 10m+3/2 m-11=58

⇒ (20m+3m)/2=69

⇒ 23m=138

⇒ m=138/23

⇒ m=6

Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

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Answer:

[tex]{ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}[/tex]

Answer: break into 2 rect and 1 sqr the sum areas of each

Step-by-step explanation: square = 5x5

Rectangle 1 = 10x7

Rectangle 2 = 12x4

Sum each shape area = total area

Answer:

0.42ft/mn

Step-by-step explanation:

we have the following information to answer this question

dv/dt = 40 feet

height = 11 ft

volume = 1/3πr²h

= 1/3π(h/2)²h

= 1/3πh³/4

= πh³/12

dv/dt = π3h²/12

= πh²/4

dh/dt = 4/πh²dv/dt

= 4(40)÷22/7(11)²

= 160/380.29

= 0.42 ft/min

The height of the pile is therefore increasing by 0.42ft/min at a height of 11 feets