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2 years ago

Write the prime factorization of 98

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

7 0

Answer:

2 * 7^2

Step-by-step explanation:

98 /2 = 49

49 / 7 = 7

2 * 7 * 7 = 98

plz mark brainliest

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10 points thanks to those who help

nignag [31]

A) a 45 degree angle

3 0

3 years ago

Solve to find X. 1/5(x - 2) = 1/10 (x + 6)

LenaWriter [7]

Answer:

x = 10

Step-by-step explanation:

First, distribute:

$\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}$

Next, subtract $\frac{1}{5}x$ from both sides:

$-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}$

(multiply $\frac{1}{5}x$ by 2 to get common denominator, $\frac{2}{10} x$ )

$-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}$

Next, subtract $\frac{6}{10}$ from both sides:

$-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x$

(multiply $\frac{2}{5}$ by 2 to get common denominator, $\frac{4}{10}$ )

$-\frac{10}{10} =-\frac{1}{10} x$ ⇒ $-1=-\frac{1}{10} x$

Next, multiply both sides by 10:

$-10=-x$

FInally, divide both sides by -1:

x = 10

3 0

2 years ago

Read 2 more answers

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

$\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}$

3 0

1 year ago

Suppose that many large samples are taken from a population and that the

rewona [7]

Answer:

$0.22 -1 *0.029 =0.191$

$0.22 +1 *0.029 =0.249$

And the best option would be:

D. (0.191 to 0.249)

Step-by-step explanation:

For this case we know that the mean is:

$\bar X = 0.22$

And the standard error is given by:

$SE = 0.029$

We want to construct a 68% confidence interval so then the significance level would be :

$\alpha=1-0.68 = 0.32$ and $\alpha/2 =0.16$ . The confidence interval is given by:

$\bar X \pm z_{\alpha/2} SE$

Now we can find the critical value using the normal standard distribution and we got looking for a quantile who accumulate 0.16 of the area on each tail and we got:

$z_{\alpha/2}= 1$

And replacing we got:

$0.22 -1 *0.029 =0.191$

$0.22 +1 *0.029 =0.249$

And the best option would be:

D. (0.191 to 0.249)

5 0

3 years ago

What is m∠VWX? 75° 69° 119° 25°

Bogdan [553]

Answer:

Step-by-step explanation:

Sum of interior angles of a triangle = Exterior angle

m∠VWX + m∠WVX = Exterior angle = 155°

m∠VWX + 86° = 155°

m∠VWX = 69°

6 0

3 years ago

Read 2 more answers