Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
(answer algebraically please)

According to the SSS Postulate, two triangles are congruent if three of one triangle's sides are congruent with three of another triangle's sides.

A postulate is an assertion that is not backed by any evidence. Axiom is another name for a postulate. For instance, you would believe Pam if she said that all of her siblings were at least five feet one tall since you are aware of her height and that of all of her siblings, who are all taller than her.

When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.

Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. We must examine all of the shapes' angles and sides in order to accomplish this. Two shapes that are similar to one another can be stacked perfectly.

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Answer:

I don’t get it? What’s the question?

Step-by-step explanation:

Answer: (2, 5)

Step-by-step explanation:

Answer:

It would be:

(-6,-16)

Step-by-step explanation:

x=-6, y=-16

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Correlation (GPA, Income) =1. A sample correlation coefficient is called r, while a population correlation coefficient is called rho, the Greek letter ρ. The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations.

 GPA Income (GPA-average)^2 (Income-average) ^2 GPA*Income

 3 6 1 4 18

 1 2 1 4 2

 2 4 0 0 8

average 2 4 0.666666667 2.666666667 9.333333

var(GPA) = average((GPA-average)^2) = 0.666

var(Income) = average((Income-average)^2) = 2.666

Correlation (x,y)=cov (x,y) /sqrt (var(x) * var(y))

Hence

cov (GPA, Income)= average (GPA* Income) - average(GPA)* average (Income)

=9.3333-2*4

=1.333

Correlation (GPA, Income)= cov (GPA, Income)/sqrt( var(GPA)*var(Income))

=1.333/sqrt(0.666*2.666)

=1

Correlation (GPA, Income) =1

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Answer:

\(x^\frac{2}{3}\)

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

\(x^\frac{4}{3}\) × \(^\frac{1}{3}\)       \(x^\frac{2}{3}\) × \(^\frac{1}{3}\)

\(x^\frac{4}{9}\)            \(x^\frac{2}{9}\)

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

The answer answer is C

Step-by-step explanation:

This is because there are only two angles given, therefore the answer is C. Angle Angle (I took the quiz)

Answer:

c

Step-by-step explanation:

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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The linear speed of the bicycle is 20891.59 inches / min

The bike moving in 19.78 mph

As per the given data:

A bicycle with 20-in.-diameter wheels

Determine the speed that needs to be determined either angular or linear. Determine the given speed and radius.

Determining the linear speed is the task at hand. The indicated angular speed is 190 rpm.

To find the linear speed when the angular speed and the radius of the circular object are given, k revolutions per minute \($ =\frac{k \text { revolutions }}{1 \text { minute }} \times \frac{2 \pi}{1 \text { revolution }} \\\)

\($=\frac{2 \pi k}{\text { minute }}\)

For every cycle of the 7-inch sprocket, the 4-inch goes around

\($\frac{7}{4}$\) = 1.75 times.

Therefore 190 × 1.75+ π × 20 = 20891.59 inches / min

Therefore the linear speed of the bicycle is 20891.59 inches / min

Now, determine how fast the bike is moving in mph.

\($\frac{20891.59}{12} \times \frac{60}{5280}$\)

= 19.78 mph

Bike moving in 19.78 mph.

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A bicycle with 20-in.-diameter wheels has its gears set so that the chain has a 7-in. radius on the front sprocket and 4-in. radius on the rear sprocket. the cyclist pedals at 190 rpm.

Find the linear speed of the bicycle (correct to at least two decimal places) in/min

How fast is the bike moving in mph (to two decimal places)?

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Answer:

v = −4/−24x+3

Step-by-step explanation:

Let's solve for v.

3v(1/8−x) = −1/2

Step 1: Factor out variable v.

v(−24x+3/8) = −1/2

Step 2: Divide both sides by (-24x+3)/8.

v(−24x+3/8)/−24x+3/8 = −1/2/−24x+3/8

v=−4/−24x+3

Answer:

ubtract

36

from both sides of the equation.

x

2

+

14

x

=

−

36

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

7

)

2

Add the term to each side of the equation.

x

2

+

14

x

+

(

7

)

2

=

−

36

+

(

7

)

2

Simplify the equation.

Tap for more steps...

x

2

+

14

x

+

49

=

13

Factor the perfect trinomial square into

(

x

+

7

)

2

.

(

x

+

7

)

2

=

13

Solve the equation for

x

.

Tap for more steps...

x

=

±

√

13

−

7

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

13

−

7

Decimal Form:

x

=

−

3.39444872

…

,

−

10.60555127

…

Step-by-step explanation:

Step-by-step explanation:

I need followers please

Answer:

learning only lang po yan

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Answer:

9 hours

Step-by-step explanation:

Dylan: r=14, t=t, and d= d

Ethan: r=22, t=t, and d=324-d

d = rt = t=d/r

Dylan: t=d/14 and Ethan: t= (324-d)/22

t = t

d/14 = (324-d)/22 (cross multiplication)

22d = (14)*(324-d)

22d = 4536 - 14d

22d + 14d = 4536

36d = 4536

d = 4536/36

d = 126 miles

Dylan: 126/14= 9 and

Ethan= (324-126)/22 = 9

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of roses in one centerpiece = 18 roses.

The number of roses in 24 centerpieces.

= 24 x 18

= 432

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Thus,

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Option B is the correct answer.

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Answer:

DF is 3 and angle B is 28

Step-by-step explanation:

If both are congruent, the measurements are the same.

Answer:

DF = 3, Angle B = 28

Step-by-step explanation:

Look how the congruence statement is written. Ac goes with Df and angle E goes with angle B, so they are congruent.

Out of 220 students, 44 would like dogs more than cats.

How to find the number of students who like dogs more than cats?

First, we know that 20 students like dogs and 12 like cats, so there are 20 - 12 = 8 more students who like dogs than cats.

We also know that there are 40 students in total, so the percentage of students who like dogs more than cats is 8/40 = 0.2.

To find the number of students who would like dogs more than cats among 220 students, we can use the same percentage:

We know that there are 220 students in total, so the number of students who would like dogs more than cats is 0.2 × 220 = 44.

Therefore, out of 220 students, 44 would like dogs more than cats.

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Answer:

She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.

Step-by-step explanation:

Answer:

$3.66.

Step-by-step explanation:

1 yard is equal to 3 feet. So, a 2-yard piece of brass wire is equivalent to 6 feet of brass wire. To find the price per foot, we need to divide the total cost by the total length. So, the price per foot is

Answer:

D. 7

Step-by-step explanation:

(8+4) = 2(x-1) multiply (x-1) by 2

(8+4) = 2x-2 add 8 and 4

12 = 2x-2 add 2 on both sides

14 = 2x divide both sides by 2

7 = x