This year there are 260 students in the 7th grade. Next year the school expects to have 290 students. What is the percent increase?

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

The balance will be $1000 after 8 and 9 years (option C). Below, you will learn how to solve the problem.

The exponential equation that describes the balance in a savings account is given by the formula,

\(B(t) = P(1 + \frac{r}{n})^(^s^n^)\),

where P is the principal, r is the annual interest rate, n is the number of times compounded in a year, t is the time in years, and B(t) is the balance after t years.

Substituting the values given in the question,

Plugging these values into the equation gives

\(1000 = 750(1 + 0.035)^t\)

Taking the logarithm of both sides,

\(ln 1000 = ln 750 + t ln (1.035)\)

\(ln 1000 - ln 750 = t ln (1.035)\)

\(t = (ln 1000 - ln 750) / ln (1.035)\)

\(t = 8.46\)

Therefore, the balance will be $1000 after 8 and 9 years (option C).

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The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Therefore, the correct option is option C.

The measure of arc made by parallel chord in a circle are equal in measure.

arc BC=8x-46°                

arc AD=5x+26°                

arc BC=arc AD

8x-46°=5x+26°

x=24°

arc BC=8x-46°

arc BC=8(24°)-46°

arc BC=192°-46°

arc BC=146°

Therefore, the correct option is option C.

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Your question is incomplete but most probably your full question was,  

Answer:

m = -7

Step-by-step explanation:

5m+8(1+8m)=−475

5m+(8)(1)+(8)(8m)=−475

m+8+64m=−475

(5m+64m)+(8)=−475

69m+8=−475

69m+8=−475

69m+8−8=−475−8

69m=−483

69m/69= −483/69

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \text{m = - 7}}}}}\)

Step-by-step explanation:

\( \star{ \text{ \: 5m + 8(1 + 8m) = - 475}}\)

\( \text{ \text{Step \: 1 \: : Distribute \: 8 \: through \: the \: parentheses}}\)

\( \hookrightarrow{ \sf{5m + 8 + 64m = - 475}}\)

\( \text{Step \: 2 \: : \: Collect \: like \: terms}\)

\( \text{Like \: term \: are \: those \: which \: have \: the \: same \: base}\)

\( \hookrightarrow{ \sf{69m + 8 = - 475}}\)

\( \text{Step \: 3 \: : Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \hookrightarrow{ \sf{69m = - 475 - 8}}\)

\( \text{step \: 3 \: : Calculate}\)

\( \text{ \underline{Remember !}} \: : \text{The \: negative \: integers \: are \: always \: added \: but \: posses \: te \: negative \: ( \: - \: ) \: sign}\)

\( \hookrightarrow{ \sf{69m = - 483}}\)

\( \text{ Step \: 4 \: : Divide \: both \: sides \: by \: 69}\)

\( \hookrightarrow{ \sf{ \frac{69m}{69} = \frac{ - 483}{69}}} \)

\( \text{ Step \: 5 \: : Calculate}\)

\( \hookrightarrow{ \sf{m = - 7}}\)

\( \text{Hope \: I \: helped !!} \)

\( \text{Best \: regards !!}\)

~\( \sf{TheAnimeGirl}\)

Answer:

I will answer in English.

We have the sets:

a = {0, 2, 4, 6, 8}

b = {1, 3, 5, 7, 9}

So a is the set of the even numbers, and b the set of the odd numbers.

We must use the symbols ∈ and ∉ to each option:

A) 6 ∈ a (this means, 6 is an object in the set a)

B) 6 ∉ b (this means, 6 is not an object in the set b)

C) 4 ∈ a

D) 4 ∉ b

E) 7 ∉ a

E) 5 ∈ b

Answer:

D

Step-by-step explana

\( \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.\)

\( \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}\)

Answer ⟶ \(\boxed{\bf{D.42}}\)

The correct answer is : c) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.

Mean of random Variable x :

The expected value of a discrete random variable X, symbolized as E(X), is often called the long-term average or mean (symbolized as μ). This means that if you run the experiment many times over time, you would expect this average. For example, let X = the number of heads you get when you toss 3 fair coins. If we repeat this experiment (tossing 3 fair coins) many times, the expected value of X will be the expected average number of heads per 3 tosses.

Standard Deviation of Random Variable:

A measure of the variance of a random variable distribution that determines how for a value is from its expected value.

The standard deviation of a random variable X is often written as σ or σₓ.

For discrete random variables, the standard deviation is computed by taking the square of the difference between the value of the random variable and the expected value multiplied by the associated probability of the value of the random variable. Calculate the value of a random variable and finally take the square root.

In symbols σ = √ (x - μ)² P(X =x)

The equivalent formula is σ = \(\sqrt{E(x^{2}) - [{E(x^2)]}\)

The square of the standard deviation equals the variance Var(X) = σ².

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With the informations given by the question, we have the following diagram:

To calculate the height, we have the following trigonometric relation(since it is a right triangle):

Just solving for 'h':

With this, we have our height. The height of the kite is 363.7 ft

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Answer:

For the first excerpt, the rhyme scheme is ABAB

For the second excerpt, the rhyme scheme is ABCB

For the third it is, AABB

For the Fourth it is, ABAB

For the Fifth it is, ABCB

Step-by-step explanation:

Hope this helped

A brainliest is always appreciated.

Answer:

the first time 4 and 6 intersent is 24

so 24 days after september 5th

september 29th

Hope This Helps!!!

Answer:

no solutions

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

Subtract 13 from each side

(X-2)^2/3 + 13-13 = 5-13

(x-2) ^2/3 = -8

Raise each to the 3/2 power

(x-2) ^2/3  ^3/2= -8^3/2

(x-2) = (-512) ^1/2

We cannot take the square root of a negative number and remain in the real number system

There are no solutions

Answer:

No real solutions

Imaginary/complex solutions:

x = 2 +/- 16sqrt(2)i

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

(X-2)^2/3 = -8

(X - 2)² = (-8)³

X - 2 = +/- sqrt(-512)

No real solution

x = 2 +/- 16sqrt(2)i

(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5

[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5

(-512)^⅓ + 13 = 5

-8 + 13 = 5

5 = 5

Answer:

0.4_____x

5______37.5

use crossing:

37.5/0.4=93.75

93.75/5=18.75

im not sure tho

Answer:

Step-by-step explanation:help please. Explain step by step.

The retail price is $354.65.

What is retail price?

The price at which a product's manufacturer ostensibly recommends that a retailer sell it is referred to as the list price, also known as the manufacturer's suggested retail price, recommended retail price, or suggested retail price of a product.

Given: An import/export business marks up imported merchandise by 105%.

A wicker chair imported from Singapore originally costs from the manufacturer $173.

We have to find the retail price.

Retail price = \(= 173 + 173*\frac{105}{100} \\\)

                   = 173 + 181. 65

Retail price  = 354.65

Hence,  Retail Price is $ 354.65.

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The degenerate conic which is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone is the "parabolic conic".

A double cone is formed by two cones that are stacked one on top of the other with their vertices touching and with a common axis. If the slicing plane is parallel to the base of the double cone, it will produce a circle. If the slicing plane is perpendicular to the axis, it will produce an ellipse.

If the slicing plane is at an angle to the base, it will produce a hyperbola.If the slicing plane is parallel to the slant height, it will form a parabola rather than a conic.

a complete cone formed by straight lines through the vertex, the straight lines being indefinitely extended in both directions.

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Step-by-step explanation:

a decimal or fraction is non-terminating if it not divided by a multiple of 2 and 5.

therefore, all but except option D is divided by 3. So, the non-terminating decimal or fraction will be option D = 10/3 .

hope this helps you.

Answer

false

true

false

false

Answer:

$455.53

Step-by-step explanation:

Starting balance: $313.54

Money taken out of account: $45.78, $52.55

Money put into account: $240.32

$313.54 - $45.78 - $52.55 + $240.32 = $455.53

Answer: $455.53

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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9514 1404 393

Answer:

  C

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

__

Algebraic solution

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

  x = 3 -y

Using the relation given at the start:

  0 < x < 1

  0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

  y < 3 < y+1

We can separate this into two inequalities:

  y < 3, and

  3 < y+1

  2 < y . . . subtract 1

Now, we have ...

  2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

Answer:

1 radian ≈ 57.2958

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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All the solutions are;

1) Circle

2) A point

3) An oval that becomes more elongated as the angle with the horizontal increases.

4) An isosceles triangle.

Since, A cross-section is a plane section that is a section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry.

Now, We can formulate;

1) Plane Parallel to the circular base, not passing through the tip of the cone:

⇒ Circle.

2) Plane Parallel to the circular base, passing through the tip of the cone:

⇒ A point.

3) Plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone:

⇒ An oval that becomes more elongated as the angle with the horizontal increases.

4) Plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone :

⇒ An isosceles triangle.

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Basketball competition refers to organized events or tournaments where teams compete against each other in the sport of basketball.  There are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighbourhood basketball competition.

Since all 50 athletes sign up for only one kind of game, we know that the total number of players participating in the competition is 50. Let's assume there are x 6-player games (3 on 3) and y 2-player games (1 on 1) in total.

In a 6-player game, there are 6 athletes playing. Therefore, the total number of athletes participating in 6-player games can be calculated as 6 * x.

In a 2-player game, there are 2 athletes playing. So, the total number of athletes participating in 2-player games can be calculated as 2 * y.

Since all 50 athletes participate, we can write the equation:

6 * x + 2 * y = 50

We are also given that the neighbourhood holds 13 total games. Therefore, the total number of games can be expressed as:

x + y = 13

We now have a system of equations:

6x + 2y = 50
x + y = 13

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method in this case.

Multiplying the second equation by 2, we get:

2x + 2y = 26

Subtracting this equation from the first equation, we can eliminate the y term:

(6x + 2y) - (2x + 2y) = 50 - 26
4x = 24

Dividing both sides of the equation by 4, we find:

x = 6

Substituting this value back into the second equation, we can find y:

6 + y = 13
y = 7

Therefore, there are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighborhood basketball competition.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

y=2-4x

Step-by-step explanation:

move 4X to the other side and change the sign from plus to mines

Answer:

y = -4x + 2

Step-by-step explanation:

\(4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}\)

Hope this helps.

Answer:

0.64.

Step-by-step explanation:

64 blocks out of 100 are shaded so that make the fraction 64/100 which equals 0.64.

Please mark my answer as brainliest and give a thanks!