the volume of a large sphere (of radius R) is twice the volume of a smaller sphere (of radius r). form an equation linking r and R.

Answer:

2⁴⁶ is 2⁻⁴ times as many as 2⁴²

Step-by-step explanation:

Given;

2 to the power of 46 = 2⁴⁶

2 to the power of 42 = 2⁴²

Let the number of times = y

2⁴⁶y = 2⁴²

divide both side of the equation by  2⁴⁶

[tex]\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}[/tex]

Therefore, 2  to the power of 46 is 2 to the power -4 times as many as 2 to the power of 42. (i.e 2⁴⁶ is 2⁻⁴ times as many as 2⁴²)

Answer:

16

Step-by-step explanation:

Answer:

well no, π is a real number and 1/9 is a real number but they are not equal

Yes, If you saying a=a

Step-by-step explanation:

Answer:

Yes, that's true

Step-by-step explanation:

If a real number is the representation of a specific value, then said number should equal itself.

Answer:

16r+8

Step-by-step explanation:

12r+4r+8=

16r+8

Answer:

x=13

Step-by-step explanation:

Once again, all three angles of a triangle add up to 180° so we can form the equation: 47+90(this is the right angle)+4x-9=180°

Algebra:

47+90+4x-9=180

128+4x=180

4x=52

x=13

Hope this helps!! :) And that's all the time I have!! :( You can do it!! Good luck with the rest of your homework! :D

Answer:

a= -34

b=18

c=-22

d=-40

Answer:

Katie runs fastest

Step-by-step explanation:

For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)

For Tony; his speed is 12ft/s

For Katie;

Katie runs 450 feet in 30seconds;

450 feet = 30 secs

x = 1 sec

Cross multiply

30x = 450

x = 450/30

x = 15ft

Hence Katie runs 15ft/s

For Frank;

Frank ran 1 mile per 577secs

1 mile = 5280feeet

This mean that he ran 5280feet in 577 secs

5280feet = 577secs

y = 1 secs

cross multiply;

577y = 5280

y = 5280/577

y = 9.15ft/s

Hence Frank ran 9.15ft/s

For Adam;'

If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs

880 ft = 60secs

z = 1sec

Cross multiply

60z = 880

z = 880/60

z = 14.67ft/s

Hence Adam ran 14.67ft/s

From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s

Answer:

$13.25

Step-by-step explanation:

Answer:

$0.31

Step-by-step explanation:

Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31

Answer: The answer is C

Step-by-step explanation:

the correct answer is companionate love.

According to Hatfield, the kind of love that is about caring and intertwining your life is companionate love.

Option D is the correct answer.

Companionate love is a type of love characterized by feelings of intimacy and affection but without the intense passion or sexual attraction associated with passionate love.

We have,

Companionate love typically involves a deep level of commitment, trust, and mutual support between partners who have a strong emotional bond.

In companionate love, partners may still experience physical attraction to each other, but the primary focus is on building a strong, long-term partnership based on mutual respect, communication, and shared experiences.

This type of love is often seen in long-term relationships or marriages, where partners have developed a deep understanding and appreciation for each other over time.

Overall, companionate love is about caring for and supporting your partner through the ups and downs of life and building a life together based on shared values, goals, and interests.

Thus,

The kind of love that is about caring and intertwining your life is companionate love.

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Answer:

12.4cm (rounded to nearest tenth)

Step-by-step explanation:

To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.

Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2

                      = 12.403

                      ≈ 12.4cm (rounded to nearest tenth)

Answer:

1200 would be an estimate

Step-by-step explanation:

Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200

Answer:

1197

Step-by-step explanation:

63 x 19 = 1197

Can you mark me brainliest

Answer:

angel 5,4,and 6 in that order

Step-by-step explanation:

Answer:

look at the pictureeeeeee

Step-by-step explanation:

Answer:

Step-by-step explanation:

Δ MHP is right triangle, therefore

ΔMNP  is isosceles triangle as MN = MP, therefore

55°, 70°, 55° tbh i just got it from googgg le

Answer:

7 and 3

Step-by-step explanation:

7 + 3 = 10

7 - 3 = 4

Answer:

4 square root 5 (A)

Step-by-step explanation:

Given:  square root of -80

We have to find an equivalent expression.

(hope this helps) :))

Answer:

I think the second one. I could be wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

15) 1

16) 4

17) 21.95

Answer:

1

Step-by-step explanation:

if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.

====================================================

Work Shown:

y - 6 = -(x + 4)

y - 6 = -x - 4

y = -x - 4 + 6 ..... adding 6 to both sides

y = -x + 2

y + x = 2 .... adding x to both sides

x + y = 2

The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.

Answer:

y = -2x - 4

Step-by-step explanation:

y + 1 = -2x - 3

Subtract 1 from both sides to get the y by itself

y = -2x - 3 - 1

Simplify (Combine Like terms)

y = -2x - 4

Given:

Daniela gives away some of her marbles every day for five days.

Each day, she has [tex]\dfrac{1}{4}[/tex] the number of marbles she had a previous day.

To find:

The fraction of the original number of marbles Daniela have left after five days.

Solution:

Let the origin number of marble be x.

Number of marbles after one day = [tex]\dfrac{1}{4}x[/tex]

Number of marbles after two days = [tex]\dfrac{1}{4}(\dfrac{1}{4}x)[/tex]

                                                        = [tex](\dfrac{1}{4})^2x[/tex]

Similarly,

Number of marbles after three days = [tex](\dfrac{1}{4})^3x[/tex]

Number of marbles after four days = [tex](\dfrac{1}{4})^4x[/tex]

Number of marbles after five days = [tex](\dfrac{1}{4})^5x[/tex]

                                                         = [tex]\dfrac{1}{1024}x[/tex]

Since, [tex]\dfrac{1}{1024}[/tex] is multiplied with x, therefore, the number of marbles Daniela have left after five days is [tex]\dfrac{1}{1024}[/tex] part of original number of marbles.

Answer:

46 centimeters.

Step-by-step explanation:

First you need to plug in the numbers you have.

Your equation now is:

168 = 2.47f + 54.13.

You could use the process of elimination, or you could solve it algebraically.

168 = 2.47f + 54.13.

What you want to do is subtract 54.13 from both sides.

113.87 = 2.47f.

Now divide 2.47 from both sides.

46

The length of the femur of a female with a height of 168 cm is; Option A: 45 centimeters.

We are given the formula for Caucasian female's height as;

H = 2.47f + 54.13

Where;

f is the femur length in cm.

H is height in cm

Thus, if a females height is 168 cm, then;

168 = 2.47f + 54.13

Using subtraction property of equality by subtracting 54.13 from both sides gives;

168 - 54.13 = 2.47f

113.87 = 2.47f

Using division property of equality, divide both sides by 2.47 to get;

113.87/2.47 = f

f ≈ 46 cm

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Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, [tex]\mu=18[/tex]

and standard deviation, [tex]\sigma=2.6[/tex]

The z-score, for any arbitrary life span of  x year, is given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By using the given values, we have

[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]

The z-score for x=24, by using equation (i), is

[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Answer:

A

Step-by-step explanation:

Answer:

32 pages per hour

Step-by-step explanation:

Answer:

y= -2x+ 5

Step-by-step explanation:

plug in y=mx+b

The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.

An equation in the slope-intercept form is written as y = mx + c.

The given equation is 2x + y = 5.

To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,

(2x + y) - 2x = 5 - 2x

2x + y - 2x = 5 - 2x

y = 5 - 2x

Rearrange the terms

y = -2x + 5

Here, -2 is the slope and 5 is the intercept.

Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.

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Answer:

4:10

24:60

48:120

As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.

Answer:It has to be more clear

Step-by-step explanation: