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2 years ago

(1/2)^2 - 6 (2 - 2/3) Note: 1/2 and 2/3 is a fraction

1 answer:

5 0

$\bf \left( \cfrac{1}{2} \right)^2-6\left(2-\cfrac{2}{3} \right)\impliedby recall~~\mathbb{PEMDAS}
\\\\\\
\cfrac{1^2}{2^2}-6\left( \cfrac{6-2}{3} \right)\implies \cfrac{1}{4}-6\left( \cfrac{4}{3}\right)\implies \cfrac{1}{4}-\cfrac{6\cdot 4}{3}\implies \cfrac{1}{4}-\cfrac{24}{3}
\\\\\\
\cfrac{1}{4}-8\impliedby LCD~~4\implies \cfrac{1-32}{4}\implies \cfrac{-31}{4}\implies -7\frac{3}{4}$

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2 years ago

Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2

Fynjy0 [20]

A graph which shows the image of ABCD is: A. on a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1).

<h3>What is a transformation?</h3>

A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

Dilation

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Based on transformation of parallelogram ABCD, we can infer and logically deduce that a graph which shows the image of ABCD is that on a coordinate plane, with parallelogram A'B'C'D' having points (-2, 5), (0, 3), (0, -1.2), (-2, 1) as shown in the image attached below.

Read more on transformations here: brainly.com/question/27939466

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1 year ago

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for

Darya [45]

The answer is the first choice, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

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3 years ago

Read 2 more answers

Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

Nimfa-mama [501]

Answer:

1,680 grams

Step-by-step explanation:

To solve this, we can create a proportion using this setup:

grams/people=grams/people

The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.

480 grams/4 people=x grams/14

480/4=x/14

Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.

14(480/4)=(x/14)14

14(480/4)=x

14*120=x

1680=x

She needs 1,680 grams of couscous for 14 people.

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2 years ago

A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

FinnZ [79.3K]

Answer:

(19229.11 ,20770.89)

Step-by-step explanation:

We are given the following information:

Sample size, n = 17

Sample mean = 20,000 pounds

Sample standard deviation = 1,500 pounds

Confidence level = 95%

Significance level = 5% = 0.05

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 16 and}~\alpha_{0.05} = \pm 2.119$

$20000 \pm 2.119(\displaystyle\frac{1500}{\sqrt{17}} ) = 20000 \pm 770.89 = (19229.11 ,20770.89)$

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3 years ago