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Marianna [84]
3 years ago
7

Simplify. 1/4+4(1/2−3/4)^2 Enter your answer in the box.

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
The Simplest form is \frac{1}{2}


\frac{1}{4} +4(\frac{1}{2} - \frac{3}{4})^{2}   PEMDAS

\frac{1}{4}+4(-\frac{1}{4})^{2}                       Subtract inside parenthesis \frac{1}{2} - \frac{3}{4} =- \frac{1}{4}

\frac{1}{4}+4( \frac{1}{16})                            Square - \frac{1}{4}                       

\frac{1}{4} + \frac{1}{4}                                 Multiply 4 and \frac{1}{16}                        

\frac{1}{2}                                                       Add \frac{1}{4} + \frac{1}{4}

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scoray [572]

Answer:

The range for Problem 18 is

16.1

The range for problem 19 is

167

Step-by-step explanation:

To find the range you subtract the smallest value from the largest value. In problem 18 the largest value was 17.6 and the smallest was 1.5.

17.6 - 1.5 = 16.1

In problem 19 the largest value was 181 and the smallest was 14

181 - 14 = 167

5 0
2 years ago
Solve for x, the triangles are similar
elixir [45]

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

\frac{ES}{EG} = \frac{ER}{EF} , substitute values

\frac{45}{12x-3} = \frac{55}{143} ( cross- multiply )

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12x = 120 ( divide both sides by 12 )

x = 10

5 0
3 years ago
A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm. What is t
garri49 [273]

If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.

<h3>What is density?</h3>

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.

Then the approximate density of the aluminum will be

The volume of the aluminum brick will be

V = 29 x 15 x 5.1

V = 2218.5 cubic cm

Then the density will be

D = 19,745 / 2218.5

D = 8.900 gram per cubic cm

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

3 0
2 years ago
you go shopping and your bill comes to $54. The sales tax added on equals 7%. What is the amount of sales tax added to you bill?
Andreyy89
7.78 is the sales tax’s
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3 years ago
Find the slope please
tamaranim1 [39]

Answer:

slope = 2/5

Step-by-step explanation:

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