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2 years ago

Find the prime factorization of 35

Mathematics

2 answers:

zheka24 [161]2 years ago

6 0

The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).

AnnyKZ [126]2 years ago

4 0

<h3>Question:</h3><h3>•Find the prime factorization of 35.</h3>

Answer:

•The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).

<h3>Explanation:</h3>

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The spinner below was

Bezzdna [24]

SOLUTION:

Total number of spinning = 250 times

Number 5 coming up = 20 times

The experimental probability of spinning a 5;

$\frac{Number\text{ of times 5 came up}}{\text{Total number of spinning}}\text{ = }\frac{20}{250}\text{ = }\frac{2}{25}\text{ or 0.08}$

7 0

2 years ago

The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At

musickatia [10]

Answer:

Volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of $1.9$ in/s while its height is decreasing at a rate of $2.2$ in/s.

To find: The rate at which volume of the cone changing when the radius is $134$ in. and the height is $136$ in.

Solution:

We have,

$\frac{dr}{dt} =1.9 \:\text{in/s}$ , $\frac{dh}{dt}=-2.2\:\text{in/s}$ , $r=134 \:\text{in}$ , $h=136\:\text{in}$

Now, let $V$ be the volume of the cone.

So, $V=\frac{1}{3}\pi r^{2}h$

Differentiate with respect to $t$ .

$\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ]$

Now, on substituting the values, we get

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ]$

$\frac{dv}{dt} =9916\pi \frac{in^3}{s}$

Hence, the volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

6 0

3 years ago

Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

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3 years ago

Evaluate 5x/y^2 for each of the following combinations , 1. X=-2,y=-4.

tankabanditka [31]

$\frac{5x}{y^2}\\\\\frac{5(-2)}{-4^2} = \frac{-10}{16}=-\frac{5}{8}\\\\\frac{5(0)}{-4^2}=\frac{0}{16}=0\\\\\frac{5(-4)}{0^2}=\frac{-20}{0}=$ ∅

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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4 years ago

Mary, Anna, Alice, and Kate are at the food court and find a deal on packs

AVprozaik [17]

Answer:

Step-by-step explanation:

4 people and 6 pretzels.

If you buy 2 packs you get 12 pretzels and each person gets 3

8 0

3 years ago