The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard

Answer:

150$

Step-by-step explanation:

Answer:

150$

Step-by-step explanation:

18 x 10= 180

180-(180÷6)

=180-30

=150$

Answer:

28 + 8y - 8

Step-by-step explanation:

According to the problem;

-2(3x + 12y - 17x - 16y + 4)

Collecting like terms;

-2(3x -17x + 12y - 16y + 4)

-2(-14x - 4y + 4)

28 + 8y - 8

None of the options matches the correct answer.

Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

Answer:

step 4

Step-by-step explanation:

Do you understand now?

For the current is rate of charge flows through a surface, \( \frac{ dQ}{dt} = I \), the charge passes through the surface after 9 seconds is equals to 2052 C.

There is amount of charge passing through a surface, by a function Q(t) is measured in coulombs C. The modeled current function, I(t) = 9t²- 4t + 3 --(1)

where t denotes the time in second. We have to determine the charge passes through the surface after 9 seconds. As we know current is defined as a rate at which charge flows through a surface, i.e., \( \frac{ dQ}{dt} = I \). The units used for current is Ampere, A. From equation (1) and (2), \(\frac{ dQ}{dt} = 9t² - 4t + 3\)

So, for determining the charge we integrate, the previous equation with respect to the time t, \(\int \frac{ dQ}{dt} dt = \int_{0}^{t} I(t) dt = \int_{0}^{9} ( 9t² - 4t + 3) dt\)

\(Q =[\frac{9t³}{3} - \frac{ 4t²}{2} + 3t]_{0}^{9}\)

\( = 3× 9³ + 27 - 2× 9²\)

= 2052

Hence, required value is 2052 coulombs.

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Complete question:

The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C. The current is the rate at which charge flows through a surface. This function is I(t) and is measured in amperes, A, or coulombs per second, C/s. If a current for a certain surface is modeled by the function I(t)=9t² −4t + 3 for t≥0, how much charge passes through the surface after 9 seconds? ______________coulombs

The length of the longest side of a similar triangle whose perimeter is 90 would be 39 units.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We are given that  lengths of the sides of a triangle are 5, 12, and 13.

The perimeter is 90.

Thus, the sum of sides of triangle are;

5x + 12x + 13x = 90

30x = 90

x =90/30

x = 3

Therefore, the longest side is 13x  that will be;

13 (3) = 39 units.

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Answer:

w = \(\frac{p -2l}{2}\)

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\(\frac{p -2l}{2}\) = w

Answer:

Step-by-step explanation:

A=P(1+r/n)^nt

Let the Beth deposite is x.Here r and n will be 1.

A=x(1+1/1)^5

Similarly
B=2x(1+1/n)^nt

B=2x(1+1/1)^5

There combined interest is:
A+B=x(1+1/1)^5+2x(1+1/1)^5

21=32x+64x

21=96x

x=21/96 is the beth deposite.

2x=2*21/96 is the Reena deposite

The approximate probability of getting a z-score between +1 standard deviation and +2.5 standard deviations in a standard normal distribution is 0.1525.

To find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations, we can use a standard normal distribution table or calculator. Here are the steps:

Therefore, the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations is approximately 0.1525.

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We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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Answer:

If we assume that the proportion of male and female internet users in the second study is the same as the first study (i.e., 60% female and 40% male), and that the percentage of male and female internet users who create their own blog is the same as the first study (i.e., 17% for male and 22% for female), then we can calculate the percentage of teen bloggers who are female and male.

First, we can calculate the number of male and female internet users in the second study:

Number of female internet users = 1000 x 0.5 x 0.6 = 300

Number of male internet users = 1000 x 0.5 x 0.4 = 200

Next, we can calculate the number of female and male teen bloggers in the second study, based on the percentages from the first study:

Number of female teen bloggers = 300 x 0.22 = 66

Number of male teen bloggers = 200 x 0.17 = 34

Finally, we can calculate the percentage of teen bloggers who are female and male:

Percentage of teen bloggers who are female = (66 / 1000) x 100% = 6.6%

Percentage of teen bloggers who are male = (34 / 1000) x 100% = 3.4%

Therefore, in the second study, 6.6% of teen bloggers would be female and 3.4% of teen bloggers would be male.

Answer:

The fourth statement is true

Step-by-step explanation:

the table does not represent all possibilities, because the function is limited to zero tickets

Thus, this statement is false

the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4

Thus, this statement is false

the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each

Thus, this statement is false

the aquarium cost may be represented by the equation:

y=14.50x

now, we put in the ordered pair coordinates:

101.5=14.50*7

101.5=101.5

Thus, this statement is true

Answer:

correct 4 edge 2020

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Step-by-step explanation:

Gale wants to compare the cost of the events.

Aquarium: $14.50 each ticket

Carnival: c = 15.5 + 12f

Wave pool: $16.75 each, but $12.25 each for groups larger than 4

Which of the claims Gale makes is true?

The table represents all possibilities.

The carnival always costs the least.

The Aquarium always costs the most.

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Answer:

5/8=0.62

7/16=0.43

So 5/8 is greater

Answer:

2%

Step-by-step explanation:

$60 is 10% of $600

If you divide that 10% by the 5 years you get 2%

Answer:

the first one (top-most choice)

Step-by-step explanation:

the line in the graph displays an "and" function because it's got two arrows going at different directions from 1 point.

hope this helps!

The value of the function g(x) at g = 4 is 18.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

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Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

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(a) Mathematically, this can be expressed as: MRS = p1/p2, where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods. (b) This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

(a) To show that the indifference curve through an interior solution, denoted as x*, must be tangent to the consumer's budget line, we can use the concept of marginal rate of substitution (MRS) and the slope of the budget line.

The MRS measures the rate at which a consumer is willing to trade one good for another while remaining on the same indifference curve. It represents the slope of the indifference curve.

The budget line represents the combinations of goods that the consumer can afford given their income and prices. Its slope is determined by the price ratio of the two goods.

If x* is an interior solution, it means that the consumer is consuming positive amounts of both goods. At x*, the MRS must be equal to the price ratio for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MRS = p1/p2

where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods.

(b) If x* ∈ \(R+^2\)and x1* = 0, it means that the consumer is consuming only the second good and not consuming any units of the first good.

In this case, the marginal utility of the second good (MU2) divided by the marginal utility of the first good (MU1) should be less than the price ratio of the two goods (p2/p1) for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MU2/MU1 < p2/p1

This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

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Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

Answer: The LCD is x(x-3)(x+1) the answer is c

Step-by-step explanation:

Answer:  8

Step-by-step explanation:

5-1

3 out of 4 = 1/4

The coefficient of x7 in the expansion of (3x + 4)10 is 53,248,000.

To find the coefficient of x^7 in the expansion of (3x + 4)^10 using the binomial theorem, we need to identify the term that has x^7.

The binomial theorem states that (a + b)^n = Σ (nCk) * a^(n-k) * b^k, where k goes from 0 to n and nCk denotes the binomial coefficient, which is the combination of choosing k items from n.

In our case, a = 3x, b = 4, and n = 10. We need to find the term with x^7, so the power of a (3x) should be 3 (since 3x raised to the power of 3 is x^7). This means the term will have the form:

10C3 * (3x)^3 * 4^(10-3)

Now we calculate the coefficients:

10C3 = 10! / (3! * (10 - 3)!) = 120
(3x)^3 = 27x^{7}
4^7 = 16384

Now, we multiply the coefficients together:

120 * 27 * 16384 = 53,248,000

Therefore, the coefficient of x^7 in the expansion of (3x + 4)^10 is 53,248,000.

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we know that

The clock represent a complete circle

The circumference of a circle is giving by the formula

C=2pi r

where

r is the radius of the circle

In this problem

The radius of the circle is equal to the length of the minute hand

so

r=6 in

C=2pi(6)

C=12pi in

The length of the complete circle subtends a central angle 0f 360 degrees

Find out what is the central angle for 10 minutes (6:35 to 6:45)

we know that

6 hours represent 90 degrees

so

1 hour represent 15 degrees

1 hour represent 60 minutes so

divide by 6

15/6=2.5 degrees

therefore

using proportion

12pi/360=x/2.5

solve for x

x=12pi(2.5)/360

use 3.14 as pi

x=12(3.14)(2.5)/360

x=0.26 inches

The answer is 0.26 inches

Answer: .NET Framework is a software framework developed by Microsoft that runs primarily on Microsoft Windows. It includes a large class library called Framework Class Library and provides language interoperability across several programming languages.

Answer:

Net is a two-dimensional pattern of a three-dimensional figure that can be folded to form the figure. In other words, net is a flattened three-dimensional figure which can be turned into the solid by folding it.

Step-by-step explanation:

like this image right here

The constant rate of change is 12 jellyfish per hour.

Given that, at 3 P.M., there were 20 jellyfish on the beach. At 5 p.m., there were 44 jellyfish.

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

Now, the difference in number of jellyfish in two hours

= 44-20 = 24

Difference in number of hours = 2 hours

So, 24/2 = 12

Therefore, the constant rate of change is 12 jellyfish per hour.

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be \((\frac{\sqrt{3}}{2},\frac{1}{2})\).

For the angle measure 60, the point will be \((\frac{1}{2},\frac{\sqrt{3}}{2})\).

The tangent value of a point will be its \(y\) value over its \(x\) value.

\(\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

\(\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}\)

The sine value of a point will be the \(y\) value of the point.

\(\frac{\sqrt{3}}{2}\)

So the values we have so far are \(\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}\)

Now we have to find the LCD to add these together, which in this case would be 6.

\(\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}\)

Which adds up to \(\frac{11\sqrt{3}}{6}\), which is in simplest radical form.

Hope this helps!

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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