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olya-2409 [2.1K]
2 years ago
14

When 1,250 superscript three-fourths is written in its simplest radical form, which value remains under the radical?

Mathematics
1 answer:
Mars2501 [29]2 years ago
8 0

The number that still remains under the radical when the expression is in its simplest form is 8.

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

A radical refers to a root  form. In this case, we can write this number as; 1,250^3/4.

If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.

Thus, the number that still remains under the radical when the expression is in its simplest form is 8.

Learn more about radical forms:brainly.com/question/3008670

#SPJ4

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What is the factor form of the polynomial X2-12+27
Oksanka [162]

Answer:

(x-9) (x-3)

Step-by-step explanation:

x^2 -12x +27

What 2 numbers multiply to 27 and add to -12

-9* -3 = 27

-9-3 = -12

(x-9) (x-3)

7 0
3 years ago
The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the w
scoray [572]
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
7 0
3 years ago
Ten college students were randomly selected. Their grade point averages​ (GPAs) when they entered the program were between 3.5 a
solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

\hat y=\alpha +\hat \beta x

The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope (\hat \beta ) is:

Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

\hat Y=3.584756+0.090953 X

The summary of the regression analysis is:

Predictor          Coefficient             SE             t-stat            p-value

Constant             3.584756          0.078183       45.85075      5.66 x 10⁻¹¹

Entering GPA   0.090953          0.022162        4.103932       0.003419

The regression coefficient and standard error are:

\hat \beta = 0.090953\\SE (\hat \beta)=0.022162

The critical value of <em>t</em>  for 95% confidence level and 8 degrees of freedom is:

t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306

Compute the 95% confidence interval for (\hat \beta ) as follows:

CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0
3 years ago
a waiter earns $128 for 6 hours of work.The total included $86 in tips.How much does the waiter earn each hour
marta [7]
To find this out, subtract the tip from the total:

$128 - $86= $42

Then divide the 42 by 6:

42 / 6 = 7

So the waiter earns $7 per hour.

Hope this helps!
6 0
3 years ago
How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
nirvana33 [79]
To get the volume of the pile it is 4 x 4 x 16 so if each cord is =to 1 then the answer is 256
3 0
3 years ago
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