Drag each expression to a box to show whether it is a correct way to check the answer
to this equation:
4,112 - 5 = 822 remainder 2
CLEAR

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Use the combination formula.

5 C2 = 5!/5!3! = 10

The answer is 10

Answer:

10

Step-by-step explanation:

Answer:

h=12

Step-by-step explanation:

first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

9.V=480

10.V=25.1

11.V=377

12.V=160

13.V=179.6

14.V=452.4

Step-by-step explanation:

9.V=l*w*h

  V=10*8*6

  V=480  

10.V=pi*1^2*8

    V=8pi

    V=25.1

11.V=1/3pi*6^2*10

   V=1/3pi*36*10

   V=1/3pi *360

  V=120pi

   V=377

12.V=l*w*h/3

   V=10*8*6/3

   V=480/3

   V=160

13.V=4/3pi*3.5^3

   V=4/3pi *42.875

   V=171.5/3pi

   V=179.6

14.V=2/3pi*6^3

   V=2/3pi*216

  V=432/3pi

  V=144pi

  V=452.4

Answer:

1.53

Step-by-step explanation:

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

-2 and -1

have a good day

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

Answer:  see image

Step-by-step explanation:

Draw the line y = 1.  Count how many units away the point is from that line.  Move that point the same number of units in the opposite direction to create the reflection.

J is 2 units above y = 1. The new point is 2 units below y = 1.  →  (3, -1)

K is 3 units above y = 1. The new point is 3 units below y = 1.  →  (6, -2)

L is 5 units above y = 1. The new point is 5 units below y = 1.  →  (3, -4)

M is 3 units above y = 1. The new point is 3 units below y = 1.  →  (0, -2)

Step-by-step explanation:

I completely agree with the first answer from tramserran. Explained everything well. They deserve brainlest

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

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Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

Step-by-step explanation:

10 & 11

Hope that helps!

Answer: All angles of the regular polygon in the image are 90 degrees

Step-by-step explanation: Hello!

All interior angles of a four-sided polygon add up to 360 degrees.  Since this is a square, all interior angles are congruent.  There are four interior angles that are congruent and they all add up to 360 degrees.  This can be represented by the equation:

s (side) x 4 = 360

Divide each side by 4 by the division property of equality.

s x 4/4 = 360/4

s = 90 degrees.

Each angle of the polygon is 90 degrees.

"The common property for all [] four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees."
-https://byjus.com/maths/interior-angles-of-a-polygon/#:~:text=The%20common%20property%20for%20all%20the%20above%20four-sided,will%20be%20equal%20to%3A%20360%2F4%20%3D%2090%20degrees.

Answer:

The measure of each interior angle of the regular polygon pictured below is 151.7°. This can be calculated using the formula 180n - 360, where n is the number of sides of the polygon. In this case, n = 8, so the measure of each interior angle is 180(8) - 360 = 151.7°.

After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

We are given that the factored form of 30.8n+8.4 is a(11n+3).

To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.

Expanding a(11n+3), we get:

a(11n+3) = 11an + 3a

Equating this to 30.8n+8.4, we have:

11an + 3a = 30.8n + 8.4

We can factor out an "a" from the left-hand side:

a(11n + 3) = 30.8n + 8.4

Now we can see that this is the same as the given factored form, so we can equate the two expressions:

a(11n + 3) = a(11n + 3)

This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):

a = 30.8/(11n+3)

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

Step-by-step explanation:

Answer:

caca water

Step-by-step explanation:

Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:

12 fish tanks * 20 quarts per fish tank = 240 quarts of water

To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):

240 quarts / 4 quarts per gallon = 60 gallons of water

Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:

60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner

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After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Kevin needs to read 57 novels in 19 months.

Given,

The number of novels Kevin needs to read in a month = 3

N = Number of novels Kevin needs to read in M months.

Write an equation with M and N.

That is,

Kevin needs to read 3 novels in one month.

So, number of novels, N Kevin reads in M months,  3M = N

The equation is;

3M = N

Now,

The number of months Kevin needs to read the novels = 19

Then,

The number of novels Kevin reads in 19 months;

3M = N

3 × 19 = 57

That is,

Kevin needs to read 57 novels in 19 months.

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Answer:

x² + 1 = 0

a = 1

b = 0

c = 1

\(x1.2 = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \)

\(x1.2 = \frac{ - 0 ±\sqrt{ {0}^{2} - (4.1.1) } }{2.1} \)

\(x1.2 = \frac{0± \sqrt{0 - 4} }{2} \)

\(x1.2 = \frac{± \sqrt{ - 4} }{2} \)

There is no real solution because the discriminant is negative

Note.

Formula diskriminan

√b² - 4ac.

if the diskrimanan is negatif, so the quadratic equatoin dont have solution

Answer:

I think it's "B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60", if I did it correctly.