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3 years ago

What are the roots of the quadratic function f(b)=b^2-75

1 answer:

5 0

Set f(b) = b^2 - 75 = to 0 and solve for b:

b^2 = 75
b^2 = 25(3)
b = plus or minus sqrt(25[3]) = plus or minus sqrt(25)*sqrt(3) = plus or minus 5 sqrt(3).

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The population of new york city in 2013 was about 8,406,000 people which number best appoximates the population as a single digi

dsp73

Answer:

8 * 10^6

Step-by-step explanation:

The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;

A * 10^n

A is any integer between 1 and 10

n is any integer.

Given the value 8,406,000

8,406,000.

We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;

8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)

Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6

4 0

3 years ago

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

3 years ago

HELP PLEASE !!!!!!!!!!!!!!!

nadya68 [22]

Answer:

x=30

Step-by-step explanation:

if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180

6 0

3 years ago

An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8

babymother [125]

Answer:

5.45%

Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.

<em>What percent is 0.6 mg of total 11 mg??</em>

Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

$\frac{0.6}{11}=0.0545*100=5.45$

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0

3 years ago

Tim wants to determine the height, x, of a nearby tree. He stands 35 feet

kodGreya [7K]

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = $\frac{opposite}{adjacent}$ = $\frac{x}{35}$ ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

6 0

2 years ago