you buy 3pairs of jeans for 35.95 each and get a fourth for free what is yourcost pair for free what is your cost per pair of jeans?

Answer:

710°

Step-by-step explanation:

360° because you make a full rotation + 270° because you go 3/4 of the way around + 80° = 710° total.

Answer:

There are 24 different trip possibilities.

Step-by-step explanation:

Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.

The first event is the selection of the location.

Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)

The second event is the selection of how you go there.

The options are flying or driving (2 options)

The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).

The total number of different trip possibilities is equal to the product between the number of options for each event.

P = 4*2*3 = 24

There are 24 different trip possibilities.

Answer:

Step-by-step explanation:

The ratios of corresponding sides of similar figures are equal:

Short sides are x and 15, long sides are 36 and 24. The ratios are same:

Correct choice is C

Answer:

\(1) \: \frac{x}{25} = \frac{24}{15} \\ \\ \frac{x}{25} = \frac{8}{5} \\ \\ x = 25 \times \frac{8}{5} \\ \\ x = 200 \div 5 \\ \\ x = 40 \\ \\ 2) \: \frac{x}{15} = \frac{36}{24} \\ \\ \frac{x}{15} = \frac{3}{2} \\ \\ x = 15 \times \frac{3}{2} \\ \\ x = 45 \div 2 \\ \\ x = 22.5\)

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The probability of students who took the sat scored less than 350 on the math section is 0.0643

The following can be deduced:

Population Mean,μ = 528

Population Standard Deviation,σ = 117

X follows a normal distribution

I.e X ~ N ( μ = 528 ,σ = 117 )

The formula for z score is:

z = (x - μ) / σ

Subtract the mean and then divide by the standard deviation to turn x into a standard Normal z

X ≤ 350

(x-528)/117 ≤ (350-528)/117

z ≤ -1.52

Now, by using a standard normal distribution table

The area left of -1.52 = 0.0643

Therefore, the required probability is 0.0643.

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First, raise the denominator (27) to the power of 1:

3^-(x-2) = 1/27^1

Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:

3^-(x-2) = 27^-1

Rearrange the term so that both equations have the same base:

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

Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:

-(x - 2) = -3

Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)

-x + 2 = -3

Subtract 2 from both sides:

-x = -5

Finally, it is asking for positive x not negative, so divide both sides by -1:

x = 5

So, the answer is A which is 5.

If 3-(x - 2) = 1/27 then the value of x is a) 5.

To solve for x, we'll follow these steps:

1. Distribute:

Distribute the negative sign into the parentheses:  

3 - (x - 2) = 1/27

3 - x + 2 = 1/27

Simplify:

5 - x = 1/27

2. Isolate x:

To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:

5 - x - 5 = 1/27 - 5

-x = -134/27

3. Multiply by -1:

To solve for x, multiply both sides by -1 to isolate x:

-1 * -x = -1 * -134/27

x = 134/27

4. Simplify:

\(x = \approx 4.9629\)

Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.

However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.

In summary, while none of the given options is an exact solution, the closest answer is a) 5.

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Complete Question

Choose the correct answer from the given options:

If 3-(x - 2) = 1/27, what is the value of x?

a) 5

b) 3

c) -1

d) -5

The expression that can be used to find the volume of the sphere in the composite figure is: V= 4/3 π(5)³

The formula provides us with the means to determine the volume of a sphere

V = 4/3 πr³, where r is the radius of the sphere.

In this case, the radius is 5 millimeters.

So, the expression that can be used to find the volume of the sphere in the composite figure is:

V = 4/3 πr³

V= 4/3 π(5)³

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Answer:

(-32c+3)/15

Step-by-step explanation:

(c+1)/5-7c/3 =

= (3×(c+1) -5×7c)/15 =

= (3c+3-35c)/15 =

=( -32c+3)/15

Answer:

251.33, the reason is because the formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Step-by-step explanation:

hope that makes sense

The length of side AC in triangle ABC is approximately 13.898 cm.

To find the length of side AC in triangle ABC, we can use the law of cosines.

The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of the lengths of those two sides and the cosine of the included angle.

In triangle ABC, we are given:

∠A = 65°

AB = 7 cm

BC = 12 cm

We want to find AC.

Using the law of cosines, we have:

AC² = AB² + BC² - 2 * AB * BC * cos(∠A)

AC² = 7² + 12² - 2 * 7 * 12 * cos(65°)

AC² = 49 + 144 - 168 * cos(65°)

AC² ≈ 193.463

Taking the square root of both sides, we find:

AC ≈ √193.463

AC ≈ 13.898

Therefore, the length of side AC in triangle ABC is approximately 13.898 cm.

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Question

The length of side AC of the triangle △ABC when ∠A = 65°, AB = 7cm, and BC = 12cm.

The porcelain pot is fired at 2552 degrees Fahrenheit.

The temperature at which porcelain pot is fired will be calculated firstly by forming the equation. Then we will perform mathematical operations as per the PEMDAS rule. Let us assume the temperature be t.

Forming and representing the equation with respect to t

t = 2×1409 - 266

Firstly performing multiplication on Right Hand Side of the equation to find the value of t

t = 2818 - 266

Now performing subtraction on Right Hand Side of the equation to find the value of t

t = 2552 degrees Fahrenheit

Hence, the temperature of porcelain pot based on the given information is 2552 degrees Fahrenheit.

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The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.  

Herein we must create a new alloy by using correct quantities of two alloys with distinct copper concentrations. All required information can be found by concept of weighted averages:

(62/100) · (48 lb) = (39/100) · x + (65/100) · (48 - x)

62 · 48 = 39 · x + 65 · 48 - 65 · x

3 · 48 = 26 · x

x = 5.538 lb

The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.  

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If the population of a city increases by 3.5% per year. If this year's population is 292,000, next year's population , to the nearest individual is: 302,220.

Population can be defined as the amount or number of people that lived in a region.

Now let find next year population using this formula

Next year population = Current population × ( 1+ Rate per year)

Let plug in the formula

Next year population = 292,000 × ( 1+ 0.035)

Next year population = 292,000 × 1.035

Next year population = 302,220

Therefore we can conclude that next year population is 302,220.

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The exact value of tan(S) in simplest radical form is 2/(√42).

Given,

ST = √42 (opposite side to angle S)

TU = 2 (adjacent side to angle S)

US = √46 (hypotenuse of the triangle)

To find the value of tan(S), we need to determine the ratio of ST to TU.

In triangle it is mentioned that the angle of each.

Now, we can calculate the value of tan(S):

tan(S) = TU / ST

tan(S) = 2 /(√42)

Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).

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Answer:

Domain is \(x \ge d\)

You'll check the box labeled "x", the box labeled \(\ge\) and the box labeled "d". So you'll have 3 boxes checked.

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

Explanation:

We cannot have a negative number under the square root, and get some real number output. For example, the result of \(\sqrt{-4}\) isn't a real number.

That means we need to have the "x-d" under the square root to be 0 or larger.

\(x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d\)

The domain is \(x \ge d\) telling us that x = d is the smallest x value we can plug in

So that's why we check off the box labeled "x", the box labeled \(\ge\) and the box labeled "d" as shown below.

The correct statement is that it is done by the converse of the triangle parts relationship theorem. The correct answer is option D.

The complete answer is given below and the figure is attached with the answer.

Consider the diagram and proof by contradiction.

Given: △ABC with ∠B ≅ ∠C

Prove: AB ≅ AC

It is given that ∠B ≅ ∠C. Assume AB and AC are not congruent. If AB > AC, then m∠C > m∠B by ________. If AC > AB, then m∠B > m∠C for the same reason. However, using the given statement and the definition of congruency, we know that m∠B = m∠C. Therefore, AB = AC and AB ≅ AC.

What is the missing reason in the proof?

the converse of the triangle parts relationship theorem

substitution

definition of congruency

the converse of the isosceles triangle theorem

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Isosceles triangle two sides of the triangle are equal and their opposite angles too.

Given

△ABC with ∠B ≅ ∠C

Prove that

AB ≅ AC

How to give a conclusion?

From the definition of the Isosceles triangle, it is proved that if ∠B ≅ ∠C Then AB ≅ AC. We know that if the length o the side increases then the opposite angle decreases. It is done by the converse of the triangle parts relationship theorem.

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Answer:

70%

Step-by-step explanation:

because all percent are out of 100

so we would time both top and bottom number with 10

which would be 70/100  

Answer:

70 percent

Step-by-step explanation:

The graph that shows the solution to the system of equations is given by the image presented at the end of the answer.

The system of equations for this problem is defined as follows:

Replacing y = 0.5x on the second equation, the x-coordinate of the solution is given as follows:

x + 2(0.5x) = -8

x + x = -8

2x = -8

x = -4.

The y-coordinate of the solution is given as follows:

y = 0.5(-4)

y = -2.

Hence the graph will show the two lines intersecting at the point (-2,-4).

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Answer:

18m + 30

Step-by-step explanation:

times everything in the bracket by 6

Answer:

150%

Step-by-step explanation:

2 x 2 = 4

Remainder=1

50% OR 0.5 x 2 = 1

(a) To find the mean number of customers who pay with a debit card among the next 100 customers, we multiply the total number of customers by the probability of paying with a debit card:

Mean = 100 * P(B) = 100 * 0.052 = 5.2

To find the variance, we use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (paying with a debit card).

Variance = 100 * 0.052 * (1 - 0.052) = 4.936

So the mean number of customers who pay with a debit card among the next 100 customers is 5.2, and the variance is 4.936.

(b) To find the mean number of customers who don't pay with cash among the next 100 customers, we first find the probability of not paying with cash:

P(not C) = P(A or B) = P(A) + P(B) = 0.055 + 0.052 = 0.107

Then we multiply by the total number of customers:

Mean = 100 * P(not C) = 100 * 0.107 = 10.7

To find the variance, we again use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (not paying with cash).

Variance = 100 * 0.107 * (1 - 0.107) = 9.656

So the mean number of customers who don't pay with cash among the next 100 customers is 10.7, and the variance is 9.656.

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Answer:

40

Step-by-step explanation:

3(-4)^2 + 2(-4)

3(16) - 8

48-8

40

Answer:

C. 5.4

Step-by-step explanation:

Range means highest number minus lowest number.

7.5 - 2.1 = 5.4

\(answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you do flvs?

Dependent variable: t (total cost of the pizza)

Independent variable: x (number of extra toppings)

Equation: t = 10.50 + 1.50x

To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:

t = 10.50 + 1.50(3)

t = 10.50 + 4.50

t = 15.00

So the total cost of the pizza with 3 extra toppings is $15.00.

What is Dependent Variables?

The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.

What is Independent Variables?

Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.

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Answer:

4 seconds

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

bc that I the wait of the egg

The firm's weighted average cost of capital is 15.074%

To calculate the weighted average cost of capital (WACC), we need to follow these steps:

1. Determine the weight of each component of the capital structure (debt, preferred stock, and common stock) by dividing the value of each component by the total capital.
2. Multiply the weight of each component by its respective cost.
3. Sum the weighted costs to obtain the WACC.

Here's the step-by-step calculation:

1. Calculate the weights:
Debt weight = $1,083 / $5,032 = 0.215
Preferred stock weight = $268 / $5,032 = 0.053
Common stock weight = $3,681 / $5,032 = 0.732

2. Calculate the weighted costs:
Weighted cost of debt = 0.215 x 5.5% = 0.011825
Weighted cost of preferred stock = 0.053 x 13.5% = 0.007155
Weighted cost of common stock = 0.732 x 18% = 0.13176

3. Sum the weighted costs to find the WACC:
WACC = 0.011825 + 0.007155 + 0.13176 = 0.15074 or 15.074%

Therefore, we can state that the firm's weighted average cost of capital is 15.074%.

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Answer:

Option (1)

Step-by-step explanation:

Given quadratic equation in this question is,

y < -x²+ 4x + 5

Now we will convert this standard quadratic equation into vertex form,

y < -(x² - 4x) + 5

y < -[x² - 2(2)x + 2²] + 5

y < -(x - 2)²+ 5

This equation is in the form of y < a(x - h)² + k

where (h, k) is the vertex of the parabola.

Therefore, y < -(x - 2)²+ 5 will show the parabola with properties as,

1). Parabola having vertex at (2, 5).

2). Coefficient 'a' is negative, so parabola will open downwards.

3). In the inequality notation of less than, (sign < ) will show the solution area inside the parabola.

[If an inequality has a sign of greater than, solution area will be outside the parabola.]

Therefore, Option (1) will be the answer.

The answer is 29 feet of banner rope needed to reach from the rooftop to the fence pole. The car salesman needs a rope that is at least 41 feet long.


We need to find the length of the rope that goes from the rooftop to the ground. We can use the Pythagorean theorem for that. The Pythagorean theorem states that in a right triangle (like the one formed by the rooftop, the ground, and the banner rope), the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

The two shorter sides are the distance from the rooftop to the ground (29 feet) and the distance from the fence pole to the base of the rooftop (20 feet). The longest side is the length of the banner rope we're trying to find. Let's call it x. Using the Pythagorean theorem, we get: 29^2 + 20^2 = x^2
Simplifying:
841 + 400 = x^2
1241 = x^2
Taking the square root of both sides: x = √1241
x ≈ 35.22
So the banner rope from the rooftop to the ground needs to be at least 35.22 feet long.
Next, we need to add the distance from the ground to the top of the fence pole, which is 8 feet. So the total length of the banner rope needed is: 35.22 + 8 = 43.22
Rounding up, we get that the car salesman needs a banner rope that is at least 43 feet long.

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Answer:

90

Step-by-step explanation:

Answer:

I can only help with a, witch is -3x

Step-by-step explanation:

im sorry i cant help with b, that one i cant even figure out, and im usually pretty good with math

i hope i helped you out a little bit at least