Ask question

Ask question

All categories

Keith_Richards [23]

3 years ago

14

By what factor must you multiply a number in order to double its square root? With an example.

1 answer:

Jobisdone [24]3 years ago

3 0

Suppose it is x = the number

Suppose that h is the factor by which we want to multiply the number to double its square root.
So we have to:

√ (hx) = 2√x.

We solve the equation for us and that:

hx = 4x
h = 4.

You must multiply by 4 to duplicate the square root

You might be interested in

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

scoundrel [369]

Answer: $\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

$23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes$

You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and $\frac{70}{3}$ minutes:

$30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

7 0

3 years ago

Read 2 more answers

Dexter drove 546 miles on one tank of gasoline. His car’s gas tank holds 15 gallons of gas. Find the average number of miles he

AlexFokin [52]

546 mil / 15 gal = about 36.4 mil per gal

4 0

3 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

<em /> $f(x) = 1588.4x + 39000$ <em />

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

<em>Considering :When x = 0; y = 39000, we have</em>

<em /> $y - 39000 = 1588.4(x - 0)$ <em />

<em /> $y - 39000 = 1588.4x$ <em />

<em>Make y the subject of formula</em>

<em /> $y = 1588.4x + 39000$ <em />

<em />

<em>Express y as a function of x</em>

<em /> $f(x) = 1588.4x + 39000$ <em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

Draw an area model to multiply 1.1 x 2.4

Lemur [1.5K]

1.1
×
2.4
____
44
+
22
____
.66
I think this is it I did this when I was in 5th grade so I don't remember that much might wanna check with an adult.

6 0

3 years ago

Will give Brainliest! if right!

Leno4ka [110]

I believe it is B, but I'm still unsure !

7 0

3 years ago