Which statements can be used to compare the
characteristics of the functions? Select three options.
f(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain..
All three functions share the same y-intercept.

Answer:

125 : 216

Step-by-step explanation:

Let the volumes of the spheres be V₁ and V₂ respectively.

Volume (Sphere radius = 5) :

Volume (Sphere radius = 6) :

Taking the ratio of V₁ and V₂ :

Given ratio: [tex](\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5 :6)[/tex]

Step-1) Multiply both sides of the ratio by x:

    [tex]\implies (\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5x :6x)[/tex]

    [tex]\implies \text{Radius of Sphere}_1 = 5x;\ \text{Radius of Sphere}_2 = 6x[/tex]

Step-2) Substitute the radiuses of each sphere into the "Volume formula"

               Volume of sphere₁                                Volume of sphere₂      

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)(5x)(5x) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (125x^{3} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4 \pi (2x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{500x^{3} }{3} \pi \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 288x^{3} \pi[/tex]

Step-3) Plug the volume of both spheres in ratio form:

The ratio for the volumes of the two spheres must be in the respective place of the ratio for the radiuses of the two similar spheres. Therefore,

Ratio form: [tex]\underline{(\small\text{Volume of sphere}_1 : \text{Volume of sphere}_2)}[/tex]

    [tex]\implies \dfrac{500x^{3} }{3} \pi: 288x^{3} \pi[/tex]

Step-4) Simplify both sides of the ratio:

    [tex]\implies \dfrac{500x^{3} }{3}: 288x^{3}[/tex]

    [tex]\implies \dfrac{500 }{3}: 288[/tex]

    [tex]\implies \dfrac{500 }{3}} \div{\dfrac{288}{1} } \implies \dfrac{500}{3} \times \dfrac{1}{288} \implies \dfrac{500}{864} \implies \boxed{\dfrac{125}{216}}[/tex]

Therefore, the ratio for the volumes of two similar spheres is 125 : 216.

Answer:

the 24-ounce box

Step-by-step explanation:

18/2.88 = 6.25$

24/3.6 = 6.67$

Answer:

Its like how much you multiply the original shape by, to the new one.

For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.

However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.

Hope this cleared things up, lmk down below if you any further questions.

Answer:

P(Q ∩ R) = 1/6

Step-by-step explanation:

Given:

For independent events Q and R,

P(Q ∩ R) = P(Q)P(R)

Therefore,

P(Q ∩ R) = (1/4)(2/3)

              = 2/12

              = 1/6

Answer:

the answer is the 3rd option!

Answer

The answer is definitely 3 :)

Answer:

[tex](x, \: y) --->\: (x - 3, \: \: y - 5)[/tex]

Volume of cuboid=abc

Volume of prism :-

Same volume i.e 39 units²

If a,b,c=a,b,c

Answer:

x is greater than or equal to 16.

Step-by-step explanation:

Hi! It says atleast 80 points, so your sign should be flipped over to show that x+64 needs to be ATLEAST 80. Then they asked you to solve for x. To solve for x, you subtract 64 from each side to get x is greater than or equal to 80-64, otherwise known as 16.

The inequality is [tex]x +64 \ge 80[/tex]

It solves to [tex]x \ge 16[/tex]

She needs at least 16 more points.

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

Further Explanation:

"At least 80" means "80 or more"

In other words, the lowest grade she can get is 80

x = number of points she needs

x+64 = number of points she has, after adding on the earlier 64 points

The x+64 must be 80 or larger. So the inequality to set up is [tex]x+64 \ge 80[/tex]

You had the right idea, but need to flip the inequality sign.

To solve this inequality, you subtract 64 from both sides and you should end up with [tex]x \ge 16[/tex]

This says she needs at least more 16 points to go with the 64 points she already has.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I believe that's right

Answer:

1,000

Step-by-step explanation:

uhhhh haha

Total amount he needs to save = 200 + 145.50 = 345.50

Number of weeks = total needed / weekly savings

345.50 / 75.50 = 4.57

He will need to work 5 weeks.

Answer:

How many grams of curry powder are in 1 teaspoons? 2.13 grams of curry powder fit into one teaspoon. 2 teaspoons of curry = 4.26 grams of curry.

Hope this helps...

Answer:

2(x+2)(3x-2)

Step-by-step explanation:

Hope I helped you

Answer:

$ 8157

Step-by-step explanation:

7500 e^.042(2)   =  8157.22  ~ 8157

The area of the cube using the distance formula is 16 square units and each side measure is 4 units.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a cube shown in the picture.

Area of the cube = 16 square units

Area of cube = side²

Side = √16 = 4 units

Each side of the cube = 4 units.

From the attached figure, we can see each side lies on each quadrant.

Using the distance formula, we can calculate the distance between two

points:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The area of the cube = 4×4 = 16 square units

Thus, the area of the cube using the distance formula is 16 square units and each side measure is 4 units.

Learn more about the cube here:

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Answer:

[tex] \boxed{ \tt{Area \: \: of \: a \: circle = \pi \: {r}^{2} }}[/tex]

[tex] \longrightarrow \tt \: 3.14 \times 35^{2} [/tex]

[tex] \longrightarrow \tt \: 3846.5\: in ^{2} [/tex]

--------- HappY LearninG <3 --------

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

           What is the area of a circle with a radius of 35 inches?

       [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

     We're asked to find the area of a circle, which we can find using the following formula:-

     [tex]\Large\textsf{$A=\pi r^2$}[/tex]

    Where:-

     Replace r with 35 and π with 3.14:-

   [tex]\Large\text{$A=3.14\times35^2$}[/tex]

[tex]\bigstar[/tex] On simplification,

    [tex]\Large\text{$A=3.14\times1,225$}[/tex]

[tex]\bigstar[/tex] On further simplification,

  [tex]\Large\text{$A=3846,5 in^2$}[/tex]

[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]        

The maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

An individual retirement account (IRA) contribution is a tax-advantaged contribution that allows the taxpayer to save money for retirement.

Given the couple's adjusted gross income of $95,000 in 2017, the maximum IRA contribution is $5,500 fully tax-deductible.

IRA contributions fall into:

Thus, the maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

Learn more about IRA contributions at https://brainly.com/question/2108625

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Answer:

B'(-1,6)
C'(2,6)

Step-by-step explanation:

You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)

Hope this helped!

Answer:

166 1/2 or 166.5

Step-by-step explanation:

The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.

Now, we have the equation A=18*9 1/4

So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5

With this, the area is equal to 166 1/2 or 166.5

Answer:

D

Step-by-step explanation:

16 times the # of boxes = $24.

You can solve this equation by doing 24/16=$1.5 per box

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line:  y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

y = mx +b where m is the slope and b is the y-intercept.

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2  and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

or

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

Answer: 13 and 14

Step-by-step explanation: algbra

Answer:

area of circle B=1964 square unit

Answer:

it’s cross multiplication.

Step-by-step explanation:

I’m wondering if you had a teacher that was trying to explain this and even online I had a teacher who would explain something when nobody understood the topic.

1. 2 * 13 = 26

2. 10 * x = 10x

26 = 10x

Answer:

X=2.6

Step-by-step explanation:

This shows 'cross multiplying'

     This is a 'short cut' method of finding the common denominator of two fractions in order to 'work' with them :

2/x = 10/13     <==== common denominator is 13x  

             so multiply the L side by 13/13   and the right side by x/x to get

26/13x = 10x / 13x      Now with common denominator, you can solve.

  Equate the numerators :

26 = 10x       <====== there is your 'short cut' found by cross multiplying

x = 26/10 = 2.6

The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the perpendicular line will be given as

y = mx + c

The given equation is y = -5/2 x + 1.

The slope of the line is -5/2.

Then the product of the slope of the perpendicular lines is a negative one.

-5/2 × m = - 1

m = 2/5

Then the equation will be

y = 2/5 x + c

Then the equation is passing through (10, 3). Then we have

3 = 2/5 × 10 + c

3 = 2 + c

c = 1

Then the equation is y = 2/5 x + 1.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

(3x + 18) + 93 = 180

23 + X

Step-by-step explanation:

(3x + 18) + 93 = 180, its supplymentery

180 - 93 = 87

87 - 18 = 69

3x = 69

69/3 = 23

23 = X

Answer:

Step-by-step explanation:

Remark

You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.

If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180

Solution

The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.

B is not true. We just found one equation that doesn't work.

C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted  makes 3x even more minus.

D is true

(3x + 18) + 93 = 180               Subtract 93 from both sides.

(3x + 18) + 93-93 = 180 - 93   Combine

(3x + 18) = 87                           Remove the brackets

3x + 18 = 87                             Subtract 18

3x+18-18 = 87-18                

3x = 69                                    Divide by 3

3x/3 = 69/3

Answerx = 23

E is not true because D is true.

-6(-3+x) = 6

-3+x = 6+6

-3+x=12

-3x=12

x=12^3

x=2

Answer:

5^8

Step-by-step explanation:

Diego added the exponents. This was an error. If he was simplifying

5^2 × 5^4, then he could add the exponents and get a correct answer. But his problem had a power raised to a power. In this case, you multiply the exponents to simplify.

(5^2)^4 means

5^2×5^2×5^2×5^2

which is

5×5×5×5×5×5×5×5

which is 5^8.