PLEASE!!!!!! HELP ME!!!!!!!!!!!!!!

Answer:

x = 12

Step-by-step explanation:

30 degrees and 4x+2 are equal to 8+6x

First, write a formula or expression:

30 + 4x+2 = 8+6x

simplify this by collecting like terms

32 + 4x = 8+6x (minus 6x from both sides)

32 - 2x = 8 (minus 32 from both sides)

-2x = -24 (divide by -2)

x = 12

now sub into the formula:

30 + (4 × 12 +2) = 8 + 6 × 12

80 = 80

Answer:

y=\(\frac{-5}{4}\)x + \(\frac{-1}{ 4}\)

Step-by-step explanation:

4x-1=5y
4/5 is the original slope and negative \(\frac{5}{4}\) is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=\(\frac{-5}{4}\)(x+3)
distribute and isolate y

y=\(\frac{-5}{4}\)x + \(\frac{-1}{4}\)

Answer:

y = -5/4x + 1/4

Step-by-step explanation:

*Pependicular line have negative reciprocal slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

4x - 5y = 1 <== subtract 4x from both sides

-4x       -4x

-5y = -4x + 1 <== divide both sides by -5

/-5         /-5

y = 4/5x - 1/5

Find the Negative reciprocal of the line:

Steps:

1. Take your original slope (4/5)

2. Flip it (5/4)

3. Change the sign (-5/4)

The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)

We need to find the y-intercept (b) for the perpendicular line using (-3, 4):

y = -5/4x + b <== substitue -3 for x and 4 for y

4 = -5/4(-3) + b

4 = 15/4 + b <== multiplify both sides by 4

4(4 = 15/4 + b)

16 = 15 + 4b <== subtract 15 from both sides

-15  -15

1 = 4b <== divide both sides by 4

/4  /4

1/4 = b

y = -5/4x + b changes to y = -5/4x + 1/4

Hope this helps!

Answer:

C=47.1

Step-by-step explanation:

take the diameter(15) and multiply it by pi(3.14).

15 x 3.14 = 47.1

Answer:

If your asking what plus 400 then it would be 564

Step-by-step explanation:

You had the first 2 numbers then subtract 400

564 is added with 400 to make 568 + 396 same as + 400.

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,

568 + 396 = x + 400

Solve for x.

568 + 396 = x + 400

Subtract 400 on both sides.

964 - 400 = x

x = 564

Thus,

568 + 396 is the same as 564 + 400.

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The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.

The future value refers to the present value plus the interest.

The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.

The initial deposit (present value) = $746

Interest rate = 2.15%

Savings period = 6 months

Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)

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Answer: A

Step-by-step explanation:

Flame length = l

Fire speed = s

In graph d, when l = 10, s does not equal 2.

It is eliminated.

In graph b, when l = 35, s=8, but in the graph, when l=30, s=8.

It is eliminated.

In graph c, when l=50, s=9, but in the graph when l=55, s=9.

It is eliminated.

The correct answer is a.

Answer:

It's the 4th graph, to the bottom right corner.

Step-by-step explanation:

Since x is greater than 2, we are looking at everything shaded to the right of 2. The line is also important, if it's a greater than sign or a less than sign, the line will always be dotted. While a greater than or equal to sign, or a less than or equal to sign will always be solid.

Hopes this makes sense :)

The maturity value of the loan is $13487.58 and the interest paid on the loan is $5487.58.

The maturity value of a loan is the amount that will be due at the end of the loan period. To calculate the maturity value of the loan, we will use the formula:
Maturity Value = Principal x (1 + Interest Rate/Compounding Periods)^(Compounding Periods x Number of Years)
(a) Maturity value of the loan
Maturity Value = 8000 x (1 + 0.11/12)^(12 x 5)
Maturity Value = 8000 x (1 + 0.0091666667)^60
Maturity Value = 8000 x 1.685947578
Maturity Value = $13487.58
The maturity value of the loan is $13487.58.
(b) Interest are you paying on the loan
To calculate the interest paid on the loan, we will subtract the principal from the maturity value.
Interest = Maturity Value - Principal
Interest = 13487.58 - 8000
Interest = $5487.58
The interest paid on the loan is $5487.58.

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Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 133 cm² and a width of 7 cm. The height of this painting is 33/7

area of small rectangular paintings

of cats.=33

area of small rectangular paintings=l*b

33=7*x

x=33/7

What is Rectangular ?

A rectangle is a quadrilateral with equal angles and opposite sides that are equal and parallel. There are numerous rectangular objects all around us. Each rectangular shape is distinguished by two dimensions: length and width. The length of the rectangle is the longer side, and the width is the shorter side. We will learn about the rectangle shape and its properties in this chapter.

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In linear equation, the store will get $468.72 from the sale of the couch.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

a.

Commission can be referred to as the reward given by the company on goods for the employee to sell products in order to make more sales and more money.

Commission is calculated as follows:

Total commission = Total Sales * Commission Percentage

Given

Total Sales = $495

Commission Percentage = 5½%

Substitute in, the above values

Total Commission = $496 * 5½%

Total Commission = $496 * 5.5%

Total Commission = $496 * 0.055

Total Commission = $27.28

Hence, the total commission is calculated as $27.28

b. The amount remitted to the store is calculated as

Amount = Total Sales - Total Commission

Where Total Sales = $496

Total Commission = $27.28

Amount = $496 - $27.28

Amount = $468.72

Hence, the store will get $468.72 from the sale of the couch.

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The complete question is -

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5½% of the selling price.

A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Answer:

a. The total commission is $27.28

b. The store will get $468.72 from the sale of the couch

The price of the orange candle is $1.60π, where π is approximately equal to 3.14.

The price of the orange candle can be determined by calculating the volume of the cone-shaped candle and multiplying it by the price per cubic inch.

The volume of a cone can be calculated using the formula:

Volume = (1/3) * π * r^2 * h

Given that the radius (r) is 1 inch and the height (h) is 12 inches, we can substitute these values into the formula:

Volume = (1/3) * π * 1^2 * 12

Volume = (1/3) * π * 1 * 12

Volume = 4 * π

The volume of the cone-shaped orange candle is 4π cubic inches.

To find the price of the candle, we multiply the volume by the price per cubic inch:

Price = Volume * Price per cubic inch

Price = 4π * $0.40

Price = $1.60π

Therefore, the price of the orange candle is $1.60π, where π is approximately equal to 3.14.

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To test if smokers are more willing than non-smokers to help strangers who ask for a cigarette, a suitable test would be a chi-square test of independence. This test will determine if there is significant association between the smoking status of participant.

The results of the chi-square test will show if the difference between the expected frequencies (null hypothesis) and observed frequencies (alternative hypothesis) is significant. If the p-value is less than 0.05, the null hypothesis will be rejected, indicating that there is a significant difference between the smoking status of the participant and their willingness to help a stranger who asks for a cigarette.

The results of the paired-samples t-test will show if the difference between the two means is significant. If the p-value is less than 0.05, the null hypothesis will be rejected, indicating that there is a significant difference between the willingness to help a stranger who asks for money and the willingness to help a stranger who asks for a cigarette.

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The coordinates of its center will be (2,10)

(x - h)²+ (y - k)² = r² is the formula for the equation of a circle, where (h, k) stands for the circle's center's coordinates and r for the radius.

A circle with a radius of r and a center is represented as

(x - a)² + (y - b)² = r² where (a, b) is the center of the circle.

Circle passes points (-4, 2) and (2, 0):

Both (-4 - a)² + (2 - b)² and (2 - a)² + (-b)² are equal to r²

Currently, the center's x coordinate (a) is 2 due to the tangent at (2, 0)

The equations then read:

6² + (2 - b)² = r²

b² = r²

⇒ 36 + (2 -b)² -b² = 0

⇒ 36 + 4 + b² - 4b - b² = 0

⇒ 4b = 40

⇒ b = 10.

So, the center is (2,10)

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A significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.

When conducting a significance test, the 5% level of significance is commonly used to determine whether to reject or fail to reject the null hypothesis. This level of significance means that there is a 5% chance of making a Type I error, which is the incorrect rejection of the null hypothesis. In other words, there is a 5% chance that we will conclude that there is a significant difference between groups when in reality there is no difference.
Now, if we lower the level of significance to 1%, we are reducing the chance of making a Type I error to 1%. This means that we are becoming more stringent in our decision-making process and requiring stronger evidence to reject the null hypothesis. Therefore, if we reject the null hypothesis at the 1% level of significance, we can be more confident that our results are statistically significant and not due to chance.
It is important to note that reducing the level of significance also increases the risk of making a Type II error, which is the failure to reject the null hypothesis when it is actually false. Therefore, when choosing a level of significance, it is important to consider the potential consequences of both types of errors and weigh the risks accordingly.
In summary, a significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.

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Answer:

51520.5

Step-by-step explanation:

Answer:

51520.5

Step-by-step explanation:

Answer:

the same

Step-by-step explanation:

because the binomial and trinomial is the same

The  sum of the links of the two parallel sides is 5cm

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

where

h is the height of the trapezoid

a+b is the sum of the sides

Substitute

20 = 0.5(a+b)8

40 = 8(a+b)

a+b = 40/8

a+b = 5cm

Hence the  sum of the links of the two parallel sides is 5cm

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Answer:

4w+10=-w

w=-2

Step-by-step explanation:

First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.

The absolute error in evaluating sinx is \(cos x \triangle x\).

(a)Consider the problem of evaluating the value of sin x.

The objective is to estimate the absolute error in sin x.

Assume r = sin x

The absolute error formula gives that:

\(\triangle r = \frac{\delta r}{\delta x} \triangle x\)

\(= \frac{\delta sin x}{\delta x} \triangle x\)

\(= cos x \triangle x\)

(b) The objective is to estimate the relative error in sin x.

The relative error is given by:

\(\frac{\triangle r}{r} = \frac{cos x \triangle x}{sin x}\)

\(= cot x \triangle x\)

(c) The objective is to estimate the condition number for this problem.

The formula of a function r = f(x), its condition is given by:

\(\frac{x f'(x)}{f(x)}\), here r = sin x

The condition number at point x is:

\(\frac{x\frac{d(sin x)}{dx} }{sin x}\)

\(= \frac{x cos x}{sin x}\)

= x cot x

(d) The objective is to find for what values of argument x is the problem highly sensitive.

Here, condition number is xcot x.

The cot function is highly sensitive at x=0.

Hence, the argument x is highly sensitive for x=0.

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Answer:

The result is 625.

Step-by-step explanation:

Exponentiation is a mathematical operation that involves raising a number (base) to a certain power (exponent). It is denoted by the symbol "^" or by writing the exponent as a superscript.

For example, in the expression 2^3, the base is 2 and the exponent is 3. This means we need to multiply 2 by itself three times:

2^3 = 2 × 2 × 2 = 8

In general, if we have a base "a" and an exponent "b", then "a^b" means multiplying "a" by itself "b" times.

Exponentiation can also be applied to negative numbers or fractional exponents, following certain rules and properties. It allows us to efficiently represent repeated multiplication and is widely used in various mathematical and scientific contexts.

Performing the exponentiation by hand:

(-5)^4 = (-5) × (-5) × (-5) × (-5)

      = 25 × 25

      = 625

Using a calculator to check the work:

(-5)^4 = 625

Therefore, the result is 625.

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Answer:

\(2036.75088022^{2}\) or \(2036.8^{2}\) rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \(\pi 10^{2}\) = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\(\pi\)10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = \(2036.75088022^{2}\) or \(2036.8^{2}\) rounded to the nearest tenth

Answer:

(x) = (-19/9)(x + 3)^2 + 5

Step-by-step explanation:f(x) = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola. Given that the vertex is (-3, 5), we can plug in these values into the vertex form equation:

f(x) = a(x - (-3))^2 + 5

which simplifies to:

f(x) = a(x + 3)^2 + 5

Now, we know that the function passes through the point (0, -14). We can plug in these values into the equation and solve for 'a':

-14 = a(0 + 3)^2 + 5

-14 = 9a + 5

Subtracting 5 from both sides:

-19 = 9a

Dividing both sides by 9:

a = -19/9

Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

Answer:

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Nakshatra w

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I2991992

Answer:

A) 180+15x=500

B) 21 people.

Step-by-step explanation:

$180

so 500-180 is 320.

320/15 is 21 1/3

So, Ms. Douglas can take 20 students and herself :)

Part A:

180+15x=500

180-180+15x=500

15x=320

x=21 1/3, so Ms. Douglas can afford to take 21 people,, but one of them is herself.

Hope this helps pls hit the crown :D

Answer:

A. 500 = 180 + 15x

So Ms.Douglas has a budget of $500 and she is going to spend $180 going to and from school on a bus. 180 is your constant. It is $15 per person to enter the gate of the amusement park and 15 is your variable.

So 500 = 180 +15x

Step-by-step explanation:

B. 500 = 180 + 15x

320 = 15x

x = 21.333333

but since we are talking about people here Ms.Douglas can only take 21 people

I hope this helps

Answer: Choice A

f(x) is exponential

g(x) is quadratic

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

Explanation:

Exponential functions are when the variarble is in the exponent only.

Quadratic functions are polynomials with the largest exponent being 2.

Answer:

f(x) is exponential; g(x) is Quadratic

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

\(C=\dfrac{4.50}{5}\\C=0.5625\)

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

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Given the coordinates:

A(3, -5)

B(10, -8)

C(12, -13)

D(5, -10)

Then, applying the given rule, we have:

A'(3 - 13, -5 + 21) = ( -10, 16)

B'(10 - 13, -8 + 21) = ( -3, 13)

C'(12 - 13, -13 + 21) = ( -1, 8)

D'(5 - 13, -10 + 21) = ( -8, 11)