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3 years ago

What is the factorization?

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

we can see that

the given curve is parabola

so, firstly we will find vertex

vertex is (4,0)

we can write equation of parabola

$y=(x-h)^2+k$

now, we can plug values

and we get

$y=(x-4)^2+0$

we can also write it as

$y=(x-4)(x-4)$ .............Answer

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If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.

PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

$C=2r\pi$

Where r is the radius.

The formula for calculate the area of a circle is:

$A=r^2\pi$

Where r is the radius.

Solve for r from $A=r^2\pi$ to calculate it:

$r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft$

Subsitute the radius into $C=2r\pi$ . Then:

$C=(2)(4.296ft)\pi=26.99ft$

3 0

4 years ago

Read 2 more answers

Karen depostited $5000 as a certificate of deposit in a bank for a period of 3 years. The certificate or deposit pays a simple i

Ira Lisetskai [31]

Answer:

15% per year

7.5% half year

5000 * 7.5% = $375 every 6 months.

Step-by-step explanation:

4 0

3 years ago

In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300

Oduvanchick [21]

Answer:

The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total sample 2 number (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The hypothesis (Null) ....> H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ = 0.3 - 0.25/√0.2667 (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722, then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0

3 years ago

Hannah,her dad,and her grandmother each ate 2/8. How much pizza did they eat altogether?

Vinil7 [7]

Answer:

6/8

Step-by-step explanation:

2/8 + 2/8 + 2/8 = 6/8.

Add the tops. Hope this helps :)

7 0

3 years ago

Read 2 more answers

Elements can have a positive charge, a negative charge, or no charge. Determine the magnitude of each element given below. Eleme

Ipatiy [6.2K]

Answer: $||q_{A}||=5$ , $||q_{B}||= 3$ , $||q_{C}|| = 0$ .

Step-by-step explanation:

The magnitude is an absolute value by definition. Hence, each element has the respective value:

$||q_{A}|| = 5\\||q_{B}|| = 3\\||q_{C}|| = 0\\$

5 0

3 years ago