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Dovator [93]
3 years ago
13

What number would you add to both sides of x^2+7x=4 to complete the square?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

49/4

Step-by-step explanation:

x^2+7x=4

Take the coefficient of x

7

Divide by 2

7/2

Then square it

(7/2) ^2 = 49/4

Add this to both sides of the equation to complete the square

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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
Inqualities question pls help!
Margaret [11]

Answer:

B

Step-by-step explanation:

The closed circle at - \frac{3}{2} indicates that x can equal this value

The open circle at \frac{7}{2} indicates that x cannot equal this value.

All values of x between - \frac{3}{2} and \frac{7}{2} are valid, thus

- \frac{3}{2} ≤ x < \frac{7}{2} → B

5 0
3 years ago
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

Hence, the constant of variation is 5

5 0
2 years ago
Logan went shopping for a new phone. Sales tax where he lives is 3%. What number should he multiply the price of the phone by to
8090 [49]

Answer:

1.03

Step-by-step explanation:

Price of phone * 1.03 = Price of phone + Sales tax

8 0
2 years ago
A ray that divides an angle into two congruent angles is a
ivanzaharov [21]

The ray or line is called Bisector

8 0
3 years ago
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