Each pepperoni slice is 78 of an inch long and costs $0.03. Exactly enough pepperoni slices are laid end to end to have a total length of 56 inches. What is the total cost of these pepperoni slices?

There are 30240 different ways can he arrange the five posters out of the ten on his closet door

The given parameters are:

The number of ways is calculated as:

Ways =[tex]^nP_r[/tex]

This gives

Ways =[tex]^{10}P_5[/tex]

Apply the permutation formula

Ways = 30240

Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door

Read more about permutation at:

https://brainly.com/question/11732255

#SPJ1

Answer:

x=6

Step-by-step explanation:

[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

Explanation:

[tex]\boxed{\sf \sum _{n=1}^{32}\left(2n+8\right)}[/tex]

Formula Required:

[tex]\sf sum \ of \ arithmetic \ series = \dfrac{n}{2} (2a \ + \ (n-1) \ d)[/tex]

Identify the following's:

Insert variables:

[tex]\rightarrow \ \sf S_{32} = \dfrac{32}{2} (2(10) + (32-1) 2) \quad \xrightarrow{\text{Simplify} } \quad 1312[/tex]

The exponential regression equation that fits the data is D. y = 8.04.0.98​ˣ.

The quickest way is probably to do direct substitution. First, let's try f(0). The values of y predicted by the four equations are, respectively, 3.14, 5.32, 10.84, and 8.46.

From here, it looks like C and D are the closest to the observed data. Let's try f(4) on C and D.

10.84(1.77)⁴ = 10.84 × 9.815 = 106.4

8.46(3.51)⁴ =  8.46 × 151.4 = 1284

Therefore, the exponential regression equation that fits the data is y = 8.04.0.98​ˣ.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Answer:

  -2.71

Step-by-step explanation:

This exponential equation can be solved by rewriting it so there is only one base, then using logarithms.

__

  2^x = 3^(x+1) . . . . . given

  2^x = 3·3^x . . . . . . eliminate the constant in the exponent

  (2/3)^x = 3 . . . . . . . divide by 3^x

  x·log(2/3) = log(3) . . . . take logarithms

  x = log(3)/log(2/3) ≈ -2.7095113

The value of x is about -2.71.

__

Alternate solution

Taking logarithms transforms this exponential equation to a linear equation.

  x·log(2) = (x +1)·log(3) . . . . take logs

  x(log(2) -log(3)) = log(3) . . . . . . subtract x·log(3)

  x = log(3)/(log(2) -log(3)) = log(3)/log(2/3) . . . . . same result as above

_____

Additional comment

In the attached, we have used a graphing calculator to find the x-intercept of the function f(x) = 0, where f(x) = 2^x -3^(x+1). This is the solution to the given equation.

The applicable rules of logarithms are ...

  log(a^b) = b·log(a)

  log(a/b) = log(a) -log(b)

n = 3m. Think of it this way: every month, this guy is watching 3 movies. So in 1 month, he's watched 3. In 2 months, he's watched 6. So the total number of movies that he's watched in months is 3 * however many months, which the problem is saying noting as 'm'

The radical expressions and their corresponding expression in rational exponent form are

[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex], [tex]448^\frac 13 = 4\sqrt[3]{7}[/tex], [tex]3528^\frac 12 = 42 \sqrt 2[/tex] and [tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]

We start by evaluating each expression as follows:

[tex]972^\frac 15[/tex]

Expand 972

[tex]972^\frac 15 = (243 * 3)^\frac 15[/tex]

Take the 5th root of 243

[tex]972^\frac 15 = 3* (4)^\frac 15[/tex]

Rewrite as:

[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex]

Next, we have:

[tex]448^\frac 13[/tex]

Expand 448

[tex]448^\frac 13 = (64 * 7)^\frac 13[/tex]

Take the 3rd root of 64

[tex]448^\frac 13 = 4 * (7)^\frac 13[/tex]

Rewrite as:

[tex]448^\frac 13 = 4\sqrt[3]{7}[/tex]

Next, we have:

[tex]3528^\frac 12[/tex]

Expand 3528

[tex]3528^\frac 12 = (1764 * 2)^\frac 12[/tex]

Take the square root of 1764

[tex]3528^\frac 12 = 42 * (2)^\frac 12[/tex]

Rewrite as:

[tex]3528^\frac 12 = 42 \sqrt 2[/tex]

Lastly, we have:

[tex]4050^\frac 14[/tex]

Expand 4050

[tex]4050^\frac 14 = (81 * 50)^\frac 14[/tex]

Take the 4th root of 81

[tex]4050^\frac 14 = 3 (50)^\frac 14[/tex]

Rewrite as:

[tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]

Read more about radical expressions at:

https://brainly.com/question/8952483

#SPJ1

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

Answer:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Step-by-step explanation:

In the question, we are told to find f(-5), f(-2.6), and f(2.1). The numbers in the parentheses represent x.

First, let's look at f(-5). Which equation should we use because x is -5? We should use the first equation because -5 is less than -3. Plug into the equation and solve:

f(-5) = -6      (We didn't have to do much because anything less than -3 equals -6)

Now, let's look at f(-2.6). We should use the equation in the middle because -2.6 is between -3 and 0. Plug -2.6 in the equation and solve:

f(-2.6) = -2.6 + 5

f(-2.6) = 2.4

Lastly, let's look at f(2.1). We should use the third equation because x is greater than 0. Plug 2.1 in the equation and solve:

f(2.1) = [tex](2.1)^{2} +5[/tex]

f(2.1) = 4.41 + 5

f(2.1) = 9.41

Therefore, the final answers are:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Hope this helps!! If you have questions about my work, please let me know in the comments!

Answer:

30 ounces (1 pound 14 ounces)

Please give brainliest!

Hope this helps:)

To find this, we first need to convert 6 lbs into ounces

lb = 16 ounce

6 lbs = 96 ounces!

96-66 = 30

Kevin bought 30 more ounces, or 1 pound and 14 ounces more jelly beans than antonio.

Answer:

9/20 or forty five percent (45%)

Answer:

y - 5 = 4(x + 2)

Step-by-step explanation:

Given:

The point-slope form is in the form of [tex]\displaystyle \large{y-y_1=m(x-x_1)}[/tex]. Determine the followings:

Therefore, input these in the formula.

[tex]\displaystyle \large{y-5=4[x-(-2)]}\\\\\displaystyle \large{y-5=4(x+2)}[/tex]

Therefore, the answer to this question is y - 5 = 4(x + 2)

Please let me know if you have any questions regarding my answer or explanation!

Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units

Answer:

9

Step-by-step explanation:

He had 36 Marbles and he gives all to his four friends. And all friends get the same number of marbles so we will have to do division which will be :

36{marbles} divide by 4{friends}=9 so each friend got 9 marbles.

Each friend will have 9 marbles

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.

Given that:

[tex]4x=36[/tex]

[tex]36[/tex] ÷ [tex]4[/tex] [tex]=9[/tex]

Therefore, each friend will have 9 marbles

KEYWORDS:

Learn more about division here:

brainly.com/question/1974422

Answer:

(a) y = 25°

(b) x = 90°

(c) z = 25°

Step by step explanation:

Part A

z + 90° + 65° = 180°

z = 180° - 65° - 90°

z = 25°

Part B

x + 90° = 180°

x = 90°

Part C

x + 65° + y = 180°

90° + 65° + y = 180°

y = 25°

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

[tex]\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)[/tex]

Answer:

Select four types of data demographers study to make predictions.

birth rate

death rate

employment

income

marriage

migration

kgf chapter 2

VOLINCE VOLINCE VOLINCE

Answer: 7.62

Step-by-step explanation:

[tex]AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62[/tex]

Step-by-step explanation:

y=1x-(-6)

y=-7x-2

follow and label y and x inside the equation

make sure you draw a graph to help you find the intercept form.

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the amount of aardvarks after x years.

It can be represented by the equation:

y = a(1.02)ˣ

If this year there are 714 aardvarks, the amount in the last year is:

714 = a(1.02¹)

a = 700

A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

24,800m or 24.8km or 24km 800m

Step-by-step explanation:

Perimeter of Rectangle (Given) = 800m or (800/1000)km = 0.8km

Total Distance covered by esi = Perimeter of Rectangle x Number of round ran

= 800m or 0.8km x 31

= 24,800m or 24.8km or 24km 800m

Not sure how you want the answer in so I came up with all possible answers.

Answer:

24.8km

24800m

Step-by-step explanation:

800 x 31 = 24800

24800m

to convert 24800m into km, we divide 24800 by 1000

24800/1000 = 24.8

24.8 km

hope this helps:)

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is an angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.

The correct answer is the central angle as it goes with the definition.

To learn more about the central angle visit:

https://brainly.com/question/10945528

#SPJ1

Answer:

462

Step-by-step explanation:

Base=π × r²

=> π × 3.5²

=>38.48

Volume:

Base times height

=>38.48 x 12

=>461.81

Answer:

Step-by-step explanation:

Given ;

Volume of cylinder = π2²h

Volume of the cylinder is 426m².

Answer:

The total area of the two triangles is 100 square inches.

Step-by-step explanation:

Solution:

Area of one triangle:

Height = 10 inches

Base = 8 inches

Area of triangle =

                         = 40 square inches

Area of another triangle:

Height = 10 inches

Base = 12 inches

Area of triangle =

                         = 60 square inches

Total area of the two triangles = 40 square inches + 60 square inches

                                                 = 100 square inches

The total area of the two triangles is 100 square inches.

hope that helped:)

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

Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

------------

Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.