Identify domain and range of each function.y=3•5^x

Answer:

2√7

Step-by-step explanation:

Mathematically, the equation of a circle can be represented by;

(x-h)^2 + (y-k)^2 = r^2

where (h,k) = center and r = radius

Applying this to the question, we can see that the length of the radius of the circle is √7

The diameter is always twice the radius

Thus, the diameter KL = 2 * √7 = 2√7

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6

Answer:

probability that none of the solar panels are defective = 0.97

Step-by-step explanation:

Proportion of solar panels that are defective, p = 1/200 = 0.005

Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005

q = 0.995

Sample size, n = 6

probability that none of the solar panels are defective, P(X=0)

Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]

[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]

Answer: 0.983

Step-by-step explanation:

Answer:

Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]

Step-by-step explanation:

We have,

A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].

It is required to find the area of the rectangle

The product of length and breadth of a rectangle is called its area. It can be calculated as :

[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]

So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].

Answer:

Step-by-step explanation:

If Mrs. Burdell​'s storage container is 3 feet​ long, 2 feet​ wide, and 8 feet tall, then the volume of the strorage container is expressed as shown;

Volume = Length *Breadth * Height

Volume of the container = 3*2*8 = 48ft³

If she each boxes she is to fit into the storage container has a volume of 1ft³, the total number of boxes she can fit into the container is expressed as:

Number of container = volume of the storage container/volume of a container

= 48ft³/1ft³

= 48 boxes

Since she can fit 48 boxes successfully in her storage tank, then she can fit 44 boxes as well into the storage tank since the total number of boxes the tank can take is greater tan the proposed amount of boxes in question.

So, yes she  fit 44 boxes if each has a volume of 1 cubic foot in her container

Answer:

$35

Step-by-step explanation:

$5.25 x 5 days=$26.25

then $26.25 + 6.75= $33

Answer:

There are no solutions.

Step-by-step explanation:

When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.

Answer:

3

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

Answer:

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

Step-by-step explanation:

We want to arrange n people in n positions.

Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.

Arrangments formula:

The total number of possible arrangents of n elements is:

[tex]A_{n} = n![/tex]

In this question:

5 students, so

[tex]A_{5} = 5! = 120[/tex]

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

I got it in decimal 18.05 estimated

Answer:

0

Step-by-step explanation:

-n+n-5 = 0

-5 = 0

Answer:

no solutions

Step-by-step explanation:

–n − 5 = –n

Add n to each side

–n+n − 5 = –n+n

-5 = 0

This is never true so there are no solutions

Answer:

- 1 < x < 4

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]

Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

45/72 =

45 ÷ 72 =

0.625 =

0.625 × 100/100 =

0.625 × 100% =

(0.625 × 100)% =

62.5%;

Answer:A

Step-by-step explanation:

The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7

The standard equation of a line in slope-intercept form is expressed as

y = mx+b

m is the slope of the line

b is the y-intercept

Given the coordinate points (2, 1) and (5, 8)

Get the slope of the line:

[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]

Get the y-intercept

Recall that y = mx + b

1 = -3(2) + b

1 = -6 + b

b = 1 + 6

b = 7

Get the required equation of the line.

y = -3x + 7

Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7

Learn more equation of lines here: https://brainly.com/question/17003809

Answer:

AC =3.76

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin 70 = ? / 4

Multiply each side by 4

4 sin 70 = ?

3.758770783 = ?

Rounding to nearest hundredth

3.76 = ?

AC =3.76

Answer:

3.76 units

Step-by-step explanation:

We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:

sin(70) = opposite / hypotenuse = AC / 4

Multiply both sides by 4:

AC = 4 * sin(70) ≈ 3.76 units

Answer:

First on is 0.75

Second is 22/52 (not sure about this one though)

Step-by-step explanation:

For the first one:

P(aUb) = p(a) + p(b) - p(a^b)

0.6 = 0.4 + 0.5 - p(a^b)

p(a^b) = 0.3

P(a/b)= p(a^b)/p(a)

P(a/b)= 0.3/0.4

P(a/b)= 0.75

For the second one:

Total of the cards are 52

Diamonds are 13 out of that 52

Face cards are 12 out of that 52

Diamond OR face cards means p(aUb)

And that equals p(a)+p(b)-p(a^b)

p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3

13/52 + 12/52 - 3/52= 22/52

Answer:

That's my best answer.

Step-by-step explanation:

So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.

Answer:

7x ≥ 8y

Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks.  7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

7x ≥ 8y

The inequality representing the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen is 7x ≥ 8y.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, A farmer is comparing the number of eggs laid by two hens.

The first hen laid 7 eggs per week for x weeks which is equal to 7x.

The second hen laid 8 eggs per week for y weeks which is 8y.

Also given that the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

Therefore the inequality that represents this situation is,

7x ≥ 8y.

learn more about inequalities here :

https://brainly.com/question/28823603

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Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

Learn more about cylinders and cones here: https://brainly.com/question/331787

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Answer:

6 friends (4 pay € 1.75 and 2 pay € 1)

Step-by-step explanation:

We have to:

x = friends

y = payment

x * y = 9

y = 9 / x

It follows from the problem:

(x-2) * (y + 0.25) = 9 - 2

(x-2) * (9 / x + 0.25) = 7

x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7

9 + 0.25 * x - 18 / x - 0.5 = 7

multiply by 100

100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0

25 * x - 1800 / x + 150 = 0

multiply by x

25 * x ^ 2 + 150 * x - 1800 = 0

we factor:

(x - 6) * (x + 12) = 0

x = 6

x = -12

The positive value is taken: x = 6

Each one had to pay = 9/6 = € 1.5

But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75

Thus :

(4 * 1.75) +2 (1) = € 9

Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)

Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

Answer:

x>-2

Step-by-step explanation:

x-4x<5x+16

Subtract 5x from both sides:

x-4x-5x<16

Combine like terms:

-8x<16

Divide both sides by 8:

-x<2

Divide both sides by -1:

x>-2

Hope this helps!

Answer:

V = 1469.52 cm^3

Step-by-step explanation:

cylinder volume = base area * height

                           = ( pi * R^2) * h

                           = pi * 6^2 * 13 = 1469.52 cm^3  (ANS)

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).