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Schach [20]
3 years ago
6

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____

Mathematics
2 answers:
vazorg [7]3 years ago
7 0

Answer:

<h2>16</h2>

Step-by-step explanation:

1/4^-2

Express with a positive exponent

4^2

Evaluate the power

<h2>Solution: <u>16</u></h2><h2>∵</h2>

lions [1.4K]3 years ago
5 0
\frac{1}{4^{-2}}=\frac{1}{\left(\frac{1}{4}\right)^2}=\frac{1}{\frac{1}{4^2}}=4^2=16
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4. Use information in the figure below to find M/_ D​
shtirl [24]

Answer:

d

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with base angle being congruent, that is

∠ D = ∠ E , then

∠ D = \frac{180-133}{2} = \frac{47}{2} = 23.5°

8 0
3 years ago
The parking space shown on the right has an area of 216 ft². A custom truck has rectangular dimensions of 12.1 ft by 3.6 ft. Can
mart [117]

Answer:

• Yes, the area of the truck is less than the area of the parking space.

,

• The missing dimension of the parking space is 12 ft.

Explanation:

The area of the parking space = 216 ft²

Part A

The dimensions of the custom truck = 12.1 ft by 3.6 ft.

To determine if the truck can fit into the space, we calculate the area of the truck.

\begin{gathered} \text{Area of the truck}=12.1\times3.6 \\ =43.56ft^2 \end{gathered}

Since the area of the truck is less than the area of the parking space, the truck will fit into the space.

Part B

The parking space is in the shape of a parallelogram.

\text{Area of a parallelogram=Base x Perpendicular Height}

Given:

• Area = 216 ft²

,

• Base = b ft

,

• Perpendicular Height = 18 ft

We then have:

\begin{gathered} 216=b\times18 \\ 18b=216 \\ b=\frac{216}{18} \\ b=12\text{ ft} \end{gathered}

The missing dimension of the parking space is 12 feet.

7 0
2 years ago
Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
allsm [11]
Y = kx
k = y/x = 15/3 = 5
<span>when y = 4
5 = 4/x
x = 4/5

answer
</span><span>when y = 4 , x = 4/5</span>
8 0
3 years ago
Read 2 more answers
I need help. i am confused.
pashok25 [27]

Answer:

Step-by-step explanation:

2(4z+3+3z)=174

7z+3=174/2=87

7z=87-3=84

z=84/7=12

WX=3z=3×12=36 units

8 0
3 years ago
Read 2 more answers
Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured
cluponka [151]

Answer:

He poured 2.5 liters into each container

Step-by-step explanation:

Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.

7 0
3 years ago
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