Please help me i dont understand this
A triangle has two sides of length 4 and 7 . What value could the
length of the third side be ? Check all that apply

A. 3

B. 9

C. 11

D. 5

E. 7

F. 17

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

(2,-2) --> (-1, 3)

(8,-2) --> (5, 3)

(8,-5) --> (5, 0)

(2,-5) --> (-1, 0)

Answer:

8a + 32

Step-by-step explanation:

Multiply 8 times each of the terms inside the parentheses

Answer:

\(\bold{8a+32}\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

\(\bold{a(b+c)=ab+ac}\)

Now, let's use this property to simplify our expression:

\(\bold{8(a+4)}\\ \bold{8a+32}\)

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

\(\bold{Besties4Ever;-):-):-):-)}\)

Answer:

  = -2x/ ( x^2+5) ^2

Step-by-step explanation:

y = 1/ ( x^2 +5)

y = ( x^2+5) ^ -1

dy/dx = -1 * (x^2 + 5) ^-2  * d/dx  (x^2 + 5)

          -1 * (x^2 + 5) ^-2  * 2x

           = -2x/ ( x^2+5) ^2

The dimension of the fountain will be 20ft x 20ft x 2.5ft. Let the width of the fountain be x ft. The length of the fountain will be x ft as well. The height of the fountain will be 2.5 ft.

Therefore, the volume of the fountain will be:V = (length) × (width) × (height)

V = (x) × (x) × (2.5)

V = 2.5x²

Now, let us calculate the area of the sidewalk. The area of the sidewalk is a rectangular region with the dimensions (length + 2) × (width + 2). This is because there are two additional feet on both sides of the length and width of the fountain. Therefore, we can represent the area of the sidewalk as follows: A = (length + 2) × (width + 2)

A = (x + 2) × (x + 2)

A = (x + 2)²

Now, since the total area of the fountain and sidewalk is 700ft², we can write an equation as follows: 2.5x² + (x + 2)² = 700 Expanding and solving the quadratic equation

we get,x² + 4x - 348 = 0

(x + 19)(x - 15) = 0

Since the width of the fountain cannot be negative, we will only consider the positive root, x = 15 feet.

Therefore, the dimensions of the fountain will be 20ft x 20ft x 2.5ft.

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a. The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit is approximately 20%.

c. The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized is approximately 0.28%.

a. To calculate the regular rate of markup on cost, we need to find the difference between the selling price and the cost, and then calculate the percentage markup based on the cost.

Let's denote the cost as C.

Selling price = Cost + Markup

$1,690 = C + (26% of C)

To find the cost:

$1,690 = C + 0.26C

$1,690 = 1.26C

C = $1,690 / 1.26

C ≈ $1,341.27

Markup on cost = Selling price - Cost

Markup on cost = $1,690 - $1,341.27

Markup on cost ≈ $348.73

Rate of markup on cost = (Markup on cost / Cost) * 100

Rate of markup on cost = ($348.73 / $1,341.27) * 100

Rate of markup on cost ≈ 26%

The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit can be calculated by finding the difference between the original selling price and the clearance price, and then calculating the percentage markdown based on the original selling price.

Original selling price = $1,690

Clearance price = $1,345

Markdown = Original selling price - Clearance price

Markdown = $1,690 - $1,345

Markdown = $345

Rate of markdown on the demonstrator unit = (Markdown / Original selling price) * 100

Rate of markdown on the demonstrator unit = ($345 / $1,690) * 100

Rate of markdown on the demonstrator unit ≈ 20%

The rate of markdown on the demonstrator unit is approximately 20%.

c. Operating profit or loss on the demonstrator unit can be calculated by finding the difference between the clearance price and the cost.

Cost = $1,341.27

Clearance price = $1,345

Operating profit or loss = Clearance price - Cost

Operating profit or loss = $1,345 - $1,341.27

Operating profit or loss ≈ $3.73

The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized can be calculated by finding the difference between the actual selling price (clearance price) and the cost, and then calculating the percentage markup based on the cost.

Actual selling price (clearance price) = $1,345

Cost = $1,341.27

Markup on cost that was actually realized = Actual selling price - Cost

Markup on cost that was actually realized = $1,345 - $1,341.27

Markup on cost that was actually realized ≈ $3.73

Rate of markup on cost that was actually realized = (Markup on cost that was actually realized / Cost) * 100

Rate of markup on cost that was actually realized = ($3.73 / $1,341.27) * 100

Rate of markup on cost that was actually realized ≈ 0.2781% ≈ 0.28%

The rate of markup on cost that was actually realized is approximately 0.28%.

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Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Given:

The ratio of the number of text messages sent by Tiffany to the number of text messages sent by her brother is 3 to 4.

Tiffany sent 12 text messages.

Let the number of messages of her brother = x

So,

solve for x:

So, x = ( 4 * 12 )/3 = 16

So, the answer will be the number of messages of her brother = 16

Answer:

Look bellow

Step-by-step explanation:

1.08 x 10 = the total amount they have (10.8)

Get the 10.8 and divide it by 5

5 because it takes 5 yards to make one dress

1. The expected daily volume of Alpine Ski lift tickets is 3867. 2. The expected annual revenue of Alpine Ski lift tickets and lodging is $203,017,500. 3. The Total Outlay Over 20 Years is $130,000,000.

1. To calculate the expected annual and daily volume of Alpine Ski lift tickets, we need to determine the total number of skiers and snowboarders who prefer deep powder for one visit per year since the resort can attract all of them. Then, we will divide it by the 150 operating days per year.

The following formula can be used:

Total volume = Number of day trip customers * % Day Trip by customer level * average day trip spending + Number of overnight customers * average overnight spending

Total volume = (4000 * 0.2 * 100) + (2000 * 250)

Total volume = 80000 + 500000 = 580000

Expected daily volume = Total volume / Number of operating days

Expected daily volume = 580000 / 150 = 3867 skiers/snowboarders

2. To calculate the expected annual revenue of Alpine Ski lift tickets and lodging, we need to multiply the expected daily volume of skiers/snowboarders by the daily revenue. The following formula can be used:

Expected daily revenue = Expected daily volume * revenue per skier/snowboarder

Expected daily revenue = 3867 * (100 + 250)

Expected daily revenue = 3867 * 350

Expected daily revenue = 1353450

Expected annual revenue = Expected daily revenue * Number of operating days

Expected annual revenue = 1353450 * 150

Expected annual revenue = $203,017,500

3. To calculate the Total Outlay Over 20 Years, we need to determine the initial cost of the installation and operating costs for 20 years. The following formula can be used:

Total outlay = Initial cost + 20 years * operating cost per year

Initial cost = $50,000,000

Operating cost per year = $4,000,000

Total outlay = $50,000,000 + (20 * $4,000,000)

Total outlay = $130,000,000

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Answer: 1e+28 or 10 sextillion hope this helps :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

x = 12.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = 36/x

x tan 71 = 36

x = 36/tan 71

x=12.39579

To the nearest tenth

x = 12.4

The Second Fundamental Theorem of Calculus (FTC) relates the definite integral of a function f with its antiderivative F.

It states that if f is continuous on the interval [a,b], then the definite integral of f from a to b is equal to the difference between the antiderivative of f evaluated at b and a. In other words, the Second FTC tells us that integration is the reverse process of differentiation, and provides a method for evaluating definite integrals.

More specifically, the Second FTC states that if f is a continuous function on [a,b] and F is an antiderivative of f, then the definite integral of f from a to b is given by:

∫(from a to b) f(x) dx = F(b) - F(a)

This means that the definite integral of f can be computed by finding any antiderivative F of f and evaluating F(b) and F(a) at the limits of integration. The Second FTC is a powerful tool for evaluating definite integrals, especially when the integrand is difficult or impossible to integrate using standard techniques.

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Complete question:

what does the second FTC tell us about the relationship between a and f? write an equation to describe the relationship.

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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\(12 \times 12 = 144\)

Hope I work my brain.

Answer:

Step-by-step explanation:

12 * 12 =

There are 12 sets of 12, then you add it all

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

24 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

36 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

48 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

60 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

72 + 12 + 12 + 12 + 12 + 12 + 12 =

84 + 12 + 12 + 12 + 12 + 12 =

96 + 12 + 12 + 12 + 12 =

108 + 12 + 12 + 12 =

120 + 12 + 12 =

132 + 12 =

#IndonesianPride - kexcvi

Answer:

Explanation:

5 + 3x = 41

Subtract 5 from each side of the equation

5 + 3x - 5 = 41 - 5

3x = 36

Divide each side by 3

3x / 3 = 36 / 3

- zyxx

Answer: we know that

The formula to calculate the surface area of a prism is equal to

where

P is the perimeter of the base

h is the height of the prism

B is the area of the base

solve the formula for h

That means ----> isolate the variable h

Subtract 2B both sides

Divide by P both sides

Rewrite

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

The sum of the three angles is approximately 260°, which is not equal to 180°. It indicates that there might be an error in the calculations or the triangle is not a planar triangle.

To find the measures of the three angles of the triangle with vertices P(1, 2, 3), Q(-3, 4, 2), and R(4, 0, 2), we can use the dot product formula and the law of cosines.

Step 1: Calculate the vectors for two sides of the triangle.

Vector PQ = Q - P = (-3 - 1, 4 - 2, 2 - 3) = (-4, 2, -1)

Vector PR = R - P = (4 - 1, 0 - 2, 2 - 3) = (3, -2, -1)

Step 2: Calculate the dot product of the two vectors.

Dot Product PQ · PR = (-4)(3) + (2)(-2) + (-1)(-1) = -12 - 4 + 1 = -15

Step 3: Calculate the lengths of the two sides.

Length PQ = ||PQ|| = √((-4)^2 + 2^2 + (-1)^2) = √(16 + 4 + 1) = √21

Length PR = ||PR|| = √(3^2 + (-2)^2 + (-1)^2) = √(9 + 4 + 1) = √14

Step 4: Use the law of cosines to find the angle between the two sides.

Cosine of angle P = (PQ · PR) / (||PQ|| * ||PR||) = -15 / (√21 * √14) ≈ -0.882

Step 5: Calculate the measure of angle P using the inverse cosine function.

Angle P ≈ arccos(-0.882) ≈ 150.4°

Step 6: Repeat steps 1-5 for the other two angles.

Angle Q ≈ arccos((-15) / (√21 * √14)) ≈ 69.6°

Angle R ≈ arccos((-10) / (√21 * √14)) ≈ 40°

Step 7: Check the sum of the three angles.

Angle P + Angle Q + Angle R ≈ 150.4° + 69.6° + 40° ≈ 260°

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When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a z-score or a standard score.

A z-score is a dimensionless quantity that represents the number of standard deviations an observation or data value is above or below the population mean. It is calculated by subtracting the mean from the observed value and then dividing the result by the standard deviation of the population. The resulting value is a measure of how far from the mean the observation falls, in terms of the standard deviation of the population.

Z-scores are useful in statistics because they allow us to compare observations or data values from different populations or distributions, even if they have different means and standard deviations. By converting each observation to a z-score, we can put them all on the same standardized scale, which makes it easier to compare and analyze them.

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_____The given question is incorrect, the correct question is given below:

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.

The mean amount for the three bills is  $100  .

In the question ,

it is given that

the electricity bill for June is = $75

the electricity bill for July is = $75

the electricity bill for August is = $150

Sum of the electricity for three months = 75 + 75 + 150 = 300

number of months =  3

The mean of the three months can be calculated using the formula ,

mean = (sum of bill for three months )/( number of months)

Substituting , the  values

we get

mean = 300/3

= 100

Therefore , the mean amount is $100 .

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Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.

In the given question, Elizabeth's family went to NYC for their vacation.

At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.

We have to find the price of each item.

Let the price of one t-shirt = $x

Let the price of one Key chain = $y

According to question

Price of three t-shirts and four key chains = $134

So the equation is

3x + 4y = $134……………….(1)

Also,

Price of four-shirts and five Key chains = $175

So the equation is

4x+5y = $175……………………..(2)

Now solving the equation using the elimination method.

Multiply Equation (1) by 5 and Equation (2) by 4, we get

15x+20y = 670....................(3)

16x+20y = 700......................(4)

Subtract equation 4 and 3, we get

x = 30

Now put the value of x in equation 1,

3*30 + 4y = $134

90+4y=$134

Subtract 90 on both side, we get;

4y = 44

Divide by 4 on both side, we get;

y = 11

Hence, the price of one t-shirt is $30 and one key-chain is $11.

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The cost function is C(w) = 300/w + 18w² and the cost of materials for the cheapest such container is $222.0

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

The length is twice the width;

Volume = 10m³

This means that:

V = 10

l = 2w

The volume of the container is calculated as:

V = lwh

So, we have

v = 2w²h

By substitution, we have

h = v/2w²

So, we have

h = 10/2w²

Divide

h = 5/w²

The surface area of an open rectangular storage is:

A = 2h(l + w) + lw

So, we have

A = 2h(2w + w) + 2w²

A = 2h(3w) + 2w²

Substitute h = 5/w²

A = 2 * 5/w² * (3w) + 2w²

Evaluate

A = 20/w + 2w²

The base costs $15, and the sides cost $9

So, the cost function is:

C(w) = 15 * 20/w + 2w² * 9

Rewrite as:

C(w) = 300/w + 18w²

We have

C(w) = 300/w + 18w²

Differentiate

C'(w) = -300/w² + 36w

Set to 0

-300/w² + 36w = 0

Rewrite as:

-36w = -300/w²

Cancel out the negatives

36w = 300/w²

Multiply through by ²

36w³ = 300

Divide through by 36

w³ = 8.33

Take cube roots of both sides

w = 2.03

Recall that:

C(w) = 300/w + 18w²

So, we have:

C(2.03) = 300/2.03 + 18(2.03)²

Evaluate

C(2.03) = 222.0

Hence, the cost of the materials is $222.0

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Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Answer:

4 41/45

Step-by-step explanation:

1 1/9 + 3 4/5

1 5/45 + 3 36/45

4 41/45

Answer:

a) attached below

b) Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃

Step-by-step explanation:

A) sketch of the arrangement of the cycles

attached below

b) prove that at least one fixed point in the attached region is bounded

Given that : Ic3 = Ic2 = Ic1 = 1

hence : Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃

This is a prove that at least one fixed point is bounded by C1 , C2 , C3

The correct answer is: b. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.

The variable "Happiness after graduation (on a scale of 1 to 10)" represents a quantitative variable. The scale of 1 to 10 assigns numerical values to measure the level of happiness reported by individuals. The use of numerical values indicates a quantitative variable, as the responses are quantified on a numerical scale.

The data collected from individuals are numerical measurements that can be analyzed and compared using mathematical operations such as averaging, calculating the range, and performing statistical analyses. Additionally, the scale from 1 to 10 implies an ordinal level of measurement, where the values have an inherent order or ranking. This allows for comparisons between different levels of happiness, identifying higher or lower ratings on the scale.

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