A store buys sweaters for $8 and sells them for $26. How many sweaters
does the store need to sell to make a profit of $990?

The equation of the vertical asymptote is:

x = 12

The correct option is the third one.

The vertical asymptote of the graph is at the line where the graph tends at positive infinite and negative infinite at the same time.

You can see that it happens in the right side of the graph.

You can see that it is a vertical asymptote, so it will be represented by a vertical line, these are of the form x =a.

By looking at the graph, you can see that it is located at x = 12, so that is the equation of the vertical line. The correct option is the third one.

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Answer: I think it’s yes im sorry if it’s wrong ‍♀️

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I took the test

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

if G is a finite group, the index of Z(G) cannot be prime.

Let's consider a finite group G with the center Z(G). We want to prove that the index of Z(G) in G cannot be a prime number.

Assume, for the sake of contradiction, that the index of Z(G) in G is a prime number, say p. By definition, the index [G:Z(G)] is equal to the number of distinct cosets of Z(G) in G, which would be p. Since G is a finite group, we can apply the Lagrange's theorem which states that the order of any subgroup (in this case, Z(G)) divides the order of the group (|G|). So, |Z(G)| divides |G| and |G| = p * |Z(G)|.

Now, let's consider the action of G on the set of left cosets of Z(G) by left multiplication. This action gives rise to a homomorphism from G to the symmetric group on p elements, S_p. By the First Isomorphism Theorem, we know that the image of this homomorphism, denoted as Im(φ), is isomorphic to G/Ker(φ), where Ker(φ) is the kernel of the homomorphism.

Observe that Z(G) is a subgroup of the kernel, as any element from Z(G) will fix each coset. This means |Ker(φ)| ≥ |Z(G)|. Furthermore, Ker(φ) is a normal subgroup of G, so the index [G:Ker(φ)] must divide |G| = p * |Z(G)|.

Since |G/Ker(φ)| = |Im(φ)| divides |S_p| = p!, and |Im(φ)| = [G:Ker(φ)], we must have either |Im(φ)| = p or |Im(φ)| = 1. If |Im(φ)| = p, then [G:Ker(φ)] = p, and Ker(φ) = Z(G). However, this would imply that the action is trivial, which is a contradiction. Thus, |Im(φ)| = 1, meaning that the action is trivial, and G = Z(G), which contradicts our initial assumption that the index of Z(G) in G is prime.

Hence, if G is a finite group, the index of Z(G) cannot be prime.

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The expression that represents the output value when the input is n is -4 - 2n

From the question, the input parameters are given as

Input 1,2,3,4,n

Similarly, the output parameters are given as

output: -6,-8,-10,-12

So, we have the following table of values

1,2,3,4,n

-6,-8,-10,-12

From the above table of values, we have the following parameters

The output value for the input n is then calculated as

Tn = a + (n - 1) * d

So, we have

Tn = -6 + (n - 1) * -2

Open brackets

Tn = -6 - 2n + 2

Evaluate the like terms

Tn = -4 - 2n

Hence, the output value for the input n is -4 - 2n

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Step-by-step explanation:

To convert from gallons to quarts, multiply the gallon value by the conversion factor. For example, if converting from US fluid gallon to US fluid quart, then multiply the gallon value by 4. For example, to find out how many quarts in a half gallon of water, multiply 4 by 0.5, that makes 2 quarts in a half gallon.

Answer:

this shape consists of a square and triangle

The shape is a Pentagon ... but that won't help get the perimeter or area. you'll have to find the areas and perimeters of both the square and triangle and then add them for the final answer.

Area of figure = area of square + area of triangle

=> Area of Square = a² (a = side)

side = 3.5 cm ...so...

Area of square = a²

= 3.5 × 3.5

= 12.25 cm²

=> Area of Triangle = ½ × base × height

= ½ × 3.5 × 1.64

= 2.87cm²

Area of figure = area of square + area of triangle

Area of figure = 12.25 + 2.87

= 15.12 cm²

Perimeter of figure = P of square + P of triangle

=> P of square = 4a

= 3.5 × 4

= 14cm

=> P of isosceles triangle = 2a + base

= 2 × 2.4 + 3.5

= 4.8 + 3.5

= 8.3cm

Total perimeter of figure = P of square + P of triangle

Total perimeter = 14 + 8.3

= 22.3 cm

Answer:

Your answer is 15, 100% of the exam is 15 questions.

Step-by-step explanation:

60% x ? = 9

We need to do 9 divided by 60%

Which is actually 9 divided by 60/100.

Which is equal to; (100 x 9) divided by 6.

Which is then 900 divided by 60 which equals 15.

Answer: 15

The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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Answer:

-]$1784_- ₱14200

Step-by-step explanation:

dimentional fence

Step-by-step explanation:

NaBr 2 102.89

Ca 1 40.08

CaBr2 1 199.89

Na 2 22.99

Answer: The integral of the function y = cos(x) from x = k to x = π/2 represents the area under the curve of the function between those limits. We can evaluate this integral as follows:

∫[k, π/2] cos(x) dx = sin(k) - sin(π/2) = sin(k) - 1

We are given that this area is 0.1, so we can write:

0.1 = sin(k) - 1

Adding 1 to both sides gives:

1.1 = sin(k)

To solve for k, we take the inverse sine (or arcsine) of both sides, keeping in mind that k is between 0 and π/2:

k = arcsin(1.1)

However, arcsin(1.1) is not a real number since the sine function is only defined between -1 and 1. Therefore, there is no value of k that satisfies the given conditions.

Answer:

3,5

Step-by-step explanation:

-Hope this helped

Answer:14/29

Step-by-step explanation:

There are 14 even numbers and there are 29 numbers.

So it would equal 14/29

Answer:

Step-by-step explanation:

Let's call one leg of the triangle "x" and the other leg "2x-4". We can use the Pythagorean theorem to solve for the lengths of the legs:

x^2 + (2x-4)^2 = 10^2

x^2 + 4x^2 - 16x + 16 = 100

5x^2 - 16x - 84 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives us:

(5x + 14)(x - 6) = 0

So x = -14/5 or x = 6. We can discard the negative solution since we're dealing with lengths. Therefore:

x = 6

2x - 4 = 8

The lengths of the legs are 6 feet and 8 feet.

Answer:

number 3

Step-by-step explanation:

Answer:

number 3 i did it and i got a 100% on it

Step-by-step explanation:

If x represent age an inequality to represent the people who do not get discount is x > 12.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

There are 12 children who are eating at the local restaurant,

the equality can be given as,

x>12

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

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Complete question:

Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.

Answer:

A) Domain: All real numbers, excluding zero        (-∞, 0) ∪ (0, ∞)

Range: All real numbers, excluding zero      (-∞, 0) ∪ (0, ∞)

Step-by-step explanation:

Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

75

Answer:

Four cars that can hold 3 passengers

Step-by-step explanation:

The number of cars on the Cyclone Coaster = 16 cars

The number of passengers some cars hold = 2 passengers

The number of passengers the other cars hold = 3 passengers

The number of people altogether the Cyclone Coaster has room for = 36 people

Let x represent the number of cars that can hold 3 passengers, and let y represent the number of cars that can hold 2 passengers, we have;

3·x + 2·y = 36...(1)

x + y = 16...(2)

The value of x can be found by making y the subject of equation (1) and equation (2) and equating both values of y given in x as follows;

The value of y from equation (1) is, y₁ = (36 - 3·x)/2 = 18 - 3·x/2

∴ y₁ = 18 - 3·x/2

The value of y from equation (2) is, y₂ = 16 - x

Equating both y values, to find the coordinates of the common point to both equations, gives;

At the common point y₁ = y₂

By the substitution property of equality

∴ 18 - 3·x/2 = 16 - x

3·x/2 - x = 18 - 16 = 2

x/2 = 2

∴ x = 4

The number of cars that can hold 3 passengers, x = 4

(From y₂ = 16 - x, we have

y₁ = y₂ = 16 - 4 = 12

y = 1

The number of cars that can hold 2 passengers, y = 12).

Answer:

5310

Step-by-step explanation:

6% of 4500=270

270x3years=810

4500+810=5310

Lara will be paying the total amount is $5310

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that, Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years.

We need to find the total amount she will be paying on the loan,

So, the formula for simple interest is - SI = PRT / 100

P = principal, r = rate and t = time

Therefore,

SI = 4500 x 6 x 3 / 100

= 45 x 18 = 810

The interest = $810

She will pay = interest + principal = 810 + 4500 = $5310

Hence, Lara will be paying the total amount is $5310

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Answer:

sorry i cant answer without the picture it wont make sense.

Answer:

A, D

Step-by-step explanation:

edge 2021

Answer:

D

Step-by-step explanation:

\(\frac{3}{5}\) = \(\frac{9}{15}\)  It is the only one that you can multiply the top and the bottom of the fraction with the same number to get an equivalent fractions.  Multiply the top and the bottom of the first fraction by 3 to get the top and the bottom of the second fraction.

Answer:

Yes.

Step-by-step explanation:

We need to make sure that we match up the right sides before checking for proportionality.

From the picture, we can see that SRT pairs with MLN.

It's easier to see if you draw a diagram of MLN on paper with the same orientation as SRT.

Were you to do this, you would see that as SR lies on the left side of SRT, so does MLN lie on the left side of ML.

Also, both ST of SRT and MN of MLN lie on the right side and RT of SRT and LN of MLN are the base.

Thus, the proportions are

\(\frac{SR}{ML}=\frac{ST}{MN}=\frac{RT}{LN} \\\\\\\frac{3.61}{5.415}=\frac{2}{3} \\\\\frac{9.71}{14.564}=\frac{2}{3}\\ \\ \frac{11.97}{17.955}=\frac{2}{3}\)

Since all the ratios simplify to 2/3 and are equal, the sides are proportional.

Answer:

For number four the answer would have to be 4