A store owner decides to mark up all items by 30%. What is the selling price of an item that originally cost $30?

Answer:

x=25

y= 64.5

Step-by-step explanation:

When lines are parallel, 2x=2(the number)

But, 2 isn't an angle.  However, 50degrees is congruent to 2 since they are verticle angles.

2x=50

x=25

When lines are parallel, 2y+1=1(the number)

But, 1 doesn't have a verticle angle.  However, 180-50 would be equal to 1

180-50=2y+1

130=2y+1

129=2y

y= 64.5

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

90 por que eso mide cada ángulo

Answer:

4

Step-by-step explanation:

12 is over 10 and 8

The relationship between the green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 is D. The highlighted segments are congruent.

Congruent segments are segments in different shapes that have the same length and angle. In other words, they are identical to each other even though they are in different shapes.

The green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 are congruent segments because the blue highlighted segment was segment the green highlighted segment was derived from which is why they are the same.

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Answer:

  Q'(1, -4)

  R'(1, -3)

  S'(0, 4)

  T'(0, -5)

Step-by-step explanation:

If A is the X-coordinate of a pre-image point, and B is the X-coordinate of the image, then we want 4 to be the midpoint of those values. That is ...

  (A + B)/2 = 4

  A + B = 8 . . . . . multiply by 2

  B = 8 - A . . . . .  subtract A

So, the reflection over x=4 is the transformation ...

  (x, y) ⇒ (8 -x, y)

The y-value stays the same, and the new x-value is the result of subtracting the x-coordinate from 8.

The given points have two different x-coordinates: 7, and 8. The corresponding image coordinates are 8-7 = 1 and 8-8 = 0.

Your points are ...

  Q'(1, -4)

  R'(1, -3)

  S'(0, 4)

  T'(0, -5)

Using fraction strips, the result of 4 2/3 + 3 3/4 is 8 5/12

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 4 2/3 + 3 3/4 using fraction strips.

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.

First, we will add fraction parts

=> 2/3 + 3/4

We can write2/3 as 8/12 since they have the same values

=> 8/12 + 9/12

Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 8/12 and 9/12

=> 17/12

=>12/12 + 5/12

=> 1 + 5/12

Thus the sum = 4 + 3 +1 + 5/12

Sum = 8 +5/12

therefore, the sum of  4 2/3 + 3 3/4using fraction strips is 8 5/12.

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

Se pueden hacer 5040 permutaciones con la palabra COLUMNA.

Explanation:

La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.

La formula es:

P_^{n}: n!

Donde n son todos los elementos.

Sources of variation, or components of the two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA.

Analysis of variance is a set of statistical models and the estimation processes that go with them that are used to examine the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a statistical procedure that divides observed variance data into distinct components for use in further tests. For three or more sets of data, a one-way ANOVA is used to learn about the connection between the dependent and independent variables. ANOVA, which stands for Analysis of Variance, is a statistical test used to compare the means of multiple groups.

Here,

The sources of variation, or components of the two-way ANOVA, are two factors, each having two or more levels (groups), and factors are sometimes referred to as the main effects in these forms of ANOVA.

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Answer:

The total compound interest is $1,047,130.76.

Step-by-step explanation:

The amount of the money received after 1 year is $31384283.7672.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year

Here, A=10,000,000(1+10/100)¹²

= 10,000,000(1.1)¹²

= $31384283.7672

Therefore, the amount of the money received after 1 year is $31384283.7672.

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Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Answer:

19 trains

Step-by-step explanation:

Firstly, we need to calculate the difference in the number of hours

From the question, we have 7 am to 11 pm

7 am to 7 pm is 12 hours

7 pm to 11 pm is 4 hours

So total is 16 hours

16 hours to minutes is multiplied by 60 minutes

We have this as;

16 * 60 = 960 minutes

so to get the number of trains, we simply have to divide the number of minutes by 50

Mathematically, we have this as 960/50

= 19.2

Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19

The derivative of a composite function is given by the chain rule: the fifth derivative of fog(x) depends only on the second and fourth derivatives of f.

d(fog(x))/dx = df/d(g(x)) * d(g(x))/dx

The fifth derivative of fog(x) can be calculated by taking the derivative five times:

d^5(fog(x))/dx^5 = d^5f/d(g(x))^5 * (dg(x)/dx)^5 + 5 * d^4f/d(g(x))^4 * d^2g(x)/dx^2 * (dg(x)/dx)^3 + 10 * d^3f/d(g(x))^3 * (dg(x)/dx)^2 * (d^2g(x)/dx^2)^2 + 10 * d^2f/d(g(x))^2 * (dg(x)/dx) * (d^3g(x)/dx^3) + 5 * df/d(g(x)) * (d^4g(x)/dx^4)

Since g'(x) is constant, dg(x)/dx is also constant, and its derivative is 0. Therefore, all the terms with derivatives of g(x) higher than 1 are 0, leaving us with:

d^5(fog(x))/dx^5 = 5 * d^2f/d(g(x))^2 * (dg(x)/dx)^2 * d^2g(x)/dx^2 + 5 * df/d(g(x)) * d^4g(x)/dx^4

Since g'(x) is constant, dg(x)/dx and d^2g(x)/dx^2 are also constant, and can be replaced by their values. Therefore, the fifth derivative of fog(x) depends only on the second and fourth derivatives of f.

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Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

Answer:

<6

Step-by-step explanation:

Corresponding angles have the same matching corner.

<6 has the same matching corner as <2. <6 and <2 are congruent.

Therefore, it can be concluded that <6 corresponds to <2.

28. t = I / (Pr)

29. y = -(3x / 5) + (15 / 5)

30. y = -3/5 x + 3

31. y = -3/5 * -1 + 3 = 3 + 3/5 = 3.6

32. 2 tablespoons per serving

33. $0.92 per slice

34. 5 tablespoons

35. 45% (159 / 350 = 0.45 and 0.45 * 100 = 45)

Simple interest is a method of calculating the interest charge on a loan or deposit based on a constant interest rate and the original principal amount. The formula for simple interest is I = Prt, where P is the principal amount, r is the interest rate as a decimal, t is the time period in years, and I is the interest amount. In simple interest, the interest amount is calculated only on the original principal, not on any accumulated interest from prior periods.

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Answer:

41

Step-by-step explanation:

By transversal parallel lines theorem, x=41

answer:

x = 41

- use the rules to solve it

Answer:

x=1

Step-by-step explanation:

(3x-4(2)+9)=x-3

3x+1=x-3

2x+1=3

2x=2

x=1

Answer:

Step-by-step explanation:

If each project requires 8 sheets of paper, and your class uses a total of 256 sheets you would divide 256/8=32 you have 32 people in your class

Answer:32

Step-by-step explanation:

step 1: total no of sheets used by class is 256 and lets name this variable as total_no_of_sheets_used = 256

step 2: no of sheets required for each project is 8 and lets name this variable as total_no_of_sheets_required_per_project = 8

step 3: in order to know how many people are there in class we use the below formula
people_in_cass = total_no_of_sheets_used / total_no_of_sheets_required_per_project
so the answer is
people_in_class = 256/8 = 32

Answer:

24.50

Step-by-step explanation:

1.40 per pound so 17 x 1.40= 23.80

1.40/2= .70 this is for the half pound

so now add 23.80+.70=24.50

Answer:

D, No trend or association

Notice that the function is discontinuous specifically in x=1; therefore,

However, we are being asked for the limit when we approach x=1 from the left.

And, according to the graph, that limit is:

The answer is 4, option C.

Answer:

The values of 4 behind the decimal is 4 tenths and ahead of the decimal is 4 hundred.

-NULL

Brainliest will be appreciated thank you!

Answer:

See diagram below.

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

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

-------------------

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

The acceleration of the ball is 5 ms2.

What is acceleration?

Acceleration is the rate at which an object's velocity with respect to time changes. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration.

The acceleration of the car in its present direction of motion is referred to as a linear acceleration (or tangential acceleration in circular motions), and the passengers on board feel a force pressing them back into their seats as a result.

The acceleration that is used to change direction is referred to as radial acceleration (or centripetal acceleration in circular travels), and the reaction that the passengers feel is a centrifugal force.

Therefore, The acceleration of the ball is 5 ms2.

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Answer:

Diagonal, I'm 90% sure it is at least!!

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)