All categories

2 years ago

Use the ladder method to find the prime factors of 78

Mathematics

1 answer:

Margaret [11]2 years ago

7 0

Answer:

Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.

Prime Factorization of 78: 78 = 2 × 3 × 13.

Step-by-step explanation:

You might be interested in

Christine is riding her bicycle. She rides for 11.2 kilometers at a speed of 7 kilometers per hour. For how many hours does she

xxMikexx [17]

Answer:

$1.6\ hours$

Step-by-step explanation:

we know that

She rides for 11.2 kilometers at a speed of 7 kilometers per hour

Using proportion

Find how many hours does she ride

$\frac{7}{1}\frac{km}{h} =\frac{11.2}{x}\frac{km}{h}\\ \\x=11.2/7\\ \\x=1.6\ hours$

3 0

3 years ago

Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

4 0

3 years ago

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f+ g)(x).

kirza4 [7]

Answer:

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

3x+1+x2-6 = x2+3x-5

5 0

3 years ago

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30

Elina [12.6K]

Answer:

The real solutions are

$x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation $5x^6=30$ :

$\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$

7 0

3 years ago

About 7 of 10 U.S. households have TV remote controls. There were

julia-pushkina [17]

<span>Total households = 127,900,000 Proportion of households having remote control and not 7 : 3 7x + 3x = 127,900,000 10x = 127,900,000 x = 12,790,000 Households having remote control = 7x = 7 X 12,790,000 = 89,530,000 Answer: 89,530,000 households have TV remote controls.</span>

6 0

3 years ago

Use the ladder method to find the prime factors of 78​

Use the ladder method to find the prime factors of 78