please help 7th grade math

The expression is simplified to r²( r + 1) - (q - s²)

Algebraic expressions are mathematical expressions made up of variables and constants.

They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc

Given the expression;

r3 – [q + (r – s)2 ]

With the knowledge of BODMAS, we expand the bracket

r³ - q + ( r + s²)

r³ - q + r² - s²

Now, let's collect like terms

r³ + r² - q - s²

(r³ + r²) - (q - s²)

Factor out r, we then have;

r²( r + 1) - (q - s²)

The expression is simplified to r²( r + 1) - (q - s²)

Thus, the expression is simplified to r²( r + 1) - (q - s²)

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Answer:

3

Step-by-step explanation:

This question is asking what is 20% of $15.

This translates into this:

.2 x 15

And So

.2 x 15 = 3

So the Discount on a $15 dog toy is 3.

Answer:

The discount on the item would be $3

Step-by-step explanation:

To get 10% of the item you would need to divide the $15 by 10 which would be 1.5. $1.5 is the 10 percent discount of the item. 20% would be $1.5x2 which is $3.

Therefore, the answer is $3

Answer:

D

Step-by-step explanation:

Answer:

x>1 (the first one)

Step-by-step explanation:

Answer:

y-intercept = 1

Step-by-step explanation:

Here 1 grids crossing means increasing or decreasing by 1 grid. Here we are seeing the line crosses 1 grid above 0. So its positive 1. From here we find the y intercept is +1. Line crosses at coordinate ( 0 , 1 )

Answer:

Explanation:

The y-intercept of a line is the point of a line that intersects the y-axis. When we look at the line, we can tell that the line is intersecting at (0,1) on the y-axis. When we compare (0,1) to (x,y), we can tell that the intersecting x-coordinate is 0 and the intersecting y-coordinate is 1.

Hence, 1 is the y-intercept.

Answer:

64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

Radius = 5 + x

Also we have two similar triangles whose corresponding sides are proportional, hence:

Proportion may be 13 : 5 = (5 + x) : 13/2

5 · (5 + x) = 13²/2

5 x + 25 = 169/2

5 x = 169/2 - 25

x = 11.9

Then, R (radius) = 5 + x = 11.9 + 5 = 16.9 units

Answer:

x-y=2

I don't get why they are asking you what is 2-5. That seems super basic compared to the other question it is with. Since 5-2=3, then 2-5 or -5+2=-3.

Step-by-step explanation:

We are going to use identity x^2-y^2=(x-y)(x+y)

x^2-y^2=10

(x-y)(x+y)=10

(x-y)(5)=10

Since (2)(5)=10, this implies x-y=2.

Answer:

32

Step-by-step explanation:

8 pounds = 128 ounces

128 ÷ 4 = 32

The exponential function that represents this situation is f(x) = 42 * (0.85)ˣ

From the question, we have the following parameters that can be used in our computation:

Inital growth, a = 42

Rate of decrease, r = 15%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 - r)ˣ

Substitute the known values in the above equation, so, we have the following representation

f(x) = 42 * (1 - 15%)ˣ

So, we have

f(x) = 42 * (0.85)ˣ

Hence, the function is f(x) = 42 * (0.85)ˣ

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Question

Growth was worth $42 at tje beggining of the day. event every hour stock goes down by 15%. Write the exponential function that represents this situation.

The total area of all four white boards is 84 square feet, obtained by multiplying the dimensions of one board (7ft × 3ft) by the number of boards (4)

Area is the measure of the size of a two-dimensional surface, usually expressed in square units such as square inches, square feet, or square meters.

Square feet is a unit of area commonly used to measure the size of a surface in the US customary and Imperial measurement systems. One square foot is equal to the area of a square with sides of one foot in length.

According to the given information:

Barb covered 4 walls with white boards, and each board measured 7ft × 3ft. To find the total area of all 4 boards, we need to multiply the area of one board by the number of boards:

Total area = area of one board × number of boards

Total area = (7 ft × 3 ft) × 4

Total area = 21 ft² × 4

Total area = 84 ft²

Therefore, the total area of all four white boards is 84 square feet.

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The reduced fraction of 0.245 is 49/200.

What is the greatest common factor (GCF)?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four. Frequently, GCF is used to identify common denominators.

We have,

0.245

Write 0.245 as  

0.245 / 1

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.245/1

=   0.245 x 1000 / 1 x 1000

=  245 / 1000

In order to reduce the fraction find the Greatest Common Factor (GCF) for 245 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 245 are: 1  5  7  35  49  245

The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000

The Greatest Common Factor (GCF) for both 245 and 1000 is: 5

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

245/ 1000

= 245 ÷ 5 /1000 ÷ 5

=  49 / 200

The decimal part is: 0.245 = 245/1000

Full simple fraction breakdown: 245/1000

= 49/200

Hence, the reduced fraction of 0.245 is 49/200.

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

\( (\frac{3}{13}, -3) \)

Step-by-step explanation:

Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

Where,

\( A(-3, -6) = (x_1, y_1) \)

\( B(11, 7) = (x_2, y_2) \)

\( m = 3, n = 10 \)

Finding the x coordinate:

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( x = \frac{3(11) + 10(-3)}{3 + 10} \)

\( x = \frac{33 - 30}{13} \)

\( x = \frac{3}{13} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

\( y = \frac{3(7) + 10(-6)}{3 + 10} \)

\( y = \frac{21 - 60}{13} \)

\( y = \frac{-39}{13} \)

\( y = -3 \)

The coordinates of the point 3/10 of the way from A to B are \( (\frac{3}{13}, -3) \)

Answer:

32 yards (squared)

Step-by-step explanation:

Length x width = area (LxW=A)

Step 1:

Length = 6 yards

Width = 5 1/3 yards

Step 2:

Multiply 6 x 5 1/3 because 6 is the length, 5 1/3 is the width, and LxW=A.

6 x 5 1/3 = 32 yards (squared)

Answer:

£50-£y or 50-y

Step-by-step explanation:

remaining = initial - taken

remaining = 50 - y

9514 1404 393

Answer:

  20, 31, 42, 53, 64, 75, 86, 97

Step-by-step explanation:

The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...

  20, 31, 42, 53, 64, 75, 86, 97

_____

If t and o are the tens and ones digits respectively, the relation you seek is ...

  (10t +o) -(10o +t) = 18

  9(t -o) = 18

  t - o = 2 . . . . as above

Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.

Answer:

10a+b=10b+a-18

9a+9b = -18

9(a+b) = -18

a+b = 18/9

a + b =2

Step-by-step explanation:

Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

Step-by-step explanation:

The given is that John has 312ft of fencing. (Think of the 312ft as the perimeter)

The garden's legth is 6 ft more than 5 times it's width.

Let X be the garden's width:

This is what we know about the length:

It is 5 times + 6 more than the width

Now that we know this, lets set an equation to find the garden's dimentions.

X + (5X+6) = 312

      (because we know  Y = X * 5 + 6)

Now it's time to simplify:

Simplified X is equal to 51, so this is the length.

From the given the length is 5 times + 6 more than the width so the length is 5*51+6 which is 261

Answer:

The width is 51 and the length is 261. Hope this is correct and hope this helps. Brainliest would help :)

Answer:

x = 8

Step-by-step explanation:

\(5|x-8|+2=2 \\ −5∣x−8∣=0 \\ ∣x−8∣=0 \\ x = 8\)

First, you need to cancel out the 2 by subtracting 2 from both sides. Then, we divide both sides by -5. And finally, we remove the absolute value.

Answer:

y=7 and x=52

Step-by-step explanation:

the first one

is to decide both side by 5

and the second one is too

subtract both sides with 24

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Nο, it is nοt pοssibIe fοr three sides οf a quadriIateraI tο have equaI sIοpes.

SIοpe is a measure οf the steepness οf a Iine. It is defined as the change in y-cοοrdinate divided by the change in x-cοοrdinate between any twο pοints οn the Iine. It is the ratiο οf the verticaI change tο the hοrizοntaI change between twο pοints οn a Iine. The sIοpe οf a Iine can be pοsitive, negative, zerο οr undefined.  SIοpe is οften denοted by the Ietter m, and it can be caIcuIated using the fοrmuIa: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any twο pοints οn the Iine

Nο, it is nοt pοssibIe fοr three sides οf a quadriIateraI tο have equaI sIοpes. This is because if three sides had the same sIοpe, then the fοurth side wοuId need tο have a different sIοpe in οrder tο cIοse the quadriIateraI. This wοuId resuIt in οppοsite sides οf the quadriIateraI nοt being paraIIeI, which cοntradicts the definitiοn οf a quadriIateraI.

Therefοre, it is nοt pοssibIe fοr a quadriIateraI tο have three sides with equaI sIοpes.

Furthermοre, it is impοrtant tο nοte that nοt aII quadriIateraIs have sIοpes fοr their sides. OnIy quadriIateraIs with sides that are nοt verticaI have sIοpes. In generaI, the sIοpes οf οppοsite sides οf a paraIIeIοgram are equaI, but in οther types οf quadriIateraIs, the sIοpes οf οppοsite sides may be different.

Hοwever, regardIess οf the type οf quadriIateraI, it is nοt pοssibIe fοr three sides tο have the same sIοpe.

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

I think those are the first 100 or more , i didn’t count

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

Answer:

And now

AsapSCIENCE presents-

100 digits of π

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

Step-by-step explanation:

Therefore, the length of a rectangle is 13m and width is 8m

A region's size on a planar or curved surface is described mathematically as its area. In contrast to a plane region or plane's area, which refers to a form or planar lamina, a surface area is the size of an open surface or the edge of a three-dimensional object.

Here,

width=x

length=2x-3

Area =l x w

104=(2x-3)(x)

104=2x^2-3x

52=x^2-3/2(x)

52+9/16=x^2-3/2(x)+9/16

841/16=(x-3/4)^2

29/4=x-3/4

x=32/4

x= 8m

Thus width = 8m

length =  2(8)-3  = 13m

Therefore the length of a rectangle is 13m and width is 8m

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Answer:

0.009009009

Step-by-step explanation:

I think you meant 999÷9 and in that case it is 111

Answer:

0.009009009009009

Step-by-step explanation:

Answer:

If the square end is under water: 312271.92  N

If the round end is under water:   262976.67 N

Step-by-step explanation:

We have to:

P = ρ·g·d

where:

P is hydrostatic pressure, g is gravitational acceleration, d is depth, ρ is fluid density

Force = hydrostatic pressure x submerged area

F = PA

You didn't specify the orientation

If the square end is under water:

F = (1000 kg/m³) (9.81 m/s²) (2) ∫ (2-y)√(64 - y²) dy .... from 0 to 2

F = 19620 ∫ (2-y)√(64 - y²) dy .... from 0 to 2

The result of the solution of the integral is 15.916

Thus:

F = 15.916*19620 = 312271.92  N

If the round end is under water:

F = (1000 kg/m³) (9.81 m/s²) (2) ∫ (y - 3) √(64- y²) dy .... from 3 to 5

F = 19620 ∫ (y - 3) √(25 - y²) dy .... from 3 to 5

The result of the solution of the integral is 13.403

Thus:

= 13.403*19620 = 262976.67 N

The hydrostatic force against one side of the plate:

If the square end is under water is 312271.92  N

If the round end is under water is 262976.67 N

This is the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.

Hydrostatic pressure (P) = ρ·g·d where ρ is fluid density , g is gravitational acceleration, d is depth.

Force = hydrostatic pressure x submerged area

F = (1000 kg/m³) (9.81 m/s²) (2) ∫ (2-y)√(64 - y²) dy .. from 0 to 2

F = 19620 ∫ (2-y)√(64 - y²) dy .... from 0 to 2

 = 15.916

F = 15.916× 19620 = 312271.92  N

F = (1000 kg/m³) (9.81 m/s²) (2) ∫ (y - 3) √(64- y²) dy ... from 3 to 5

F = 19620 ∫ (y - 3) √(25 - y²) dy ...from 3 to 5

  = 13.403

F = 13.403*19620 = 262976.67 N.

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The annual compound growth rate of the Redstone Castle price is 73.10%.

From the information given, the formula to calculate the annual compound growth rate will be:

g = (F/P)^(1/n) - 1

where g = growth rate

f = final value = 19750000

p = initial value = 2200000

n = period = 2020 - 2016 = 4

g = (F/P)^(1/n) - 1

g = (19750000/2200000)^(1/4) - 1

g = 73.10%

Therefore, the growth rate is 73.10%

The price of the house in 1902 will be calculated thus:

PV = F/(1 + g)^n

= 19750000/(1 + 73.10%)^4

= $4811

The year that is considered as the time point 0 in that problem is 1902.

When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:

= $4811 - $4071

= $740

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