Yunika downloaded two applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.

If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads?

Modeling this scenario with a system of equations using a linear function and a quadratic function yields the following:

y = 2(x - 4)² + 2.

5x + 11y = 62.

A quadratic function with vertex (h,k), may be represented by the equation:

y = a(x - h)² + k

Because the vertex of this issue is located at (4,2), we may deduce that h = 4 and k = 2, and the equation for this problem is as follows:

y = a(x - 4)² + 2.

Because it goes through the location characterized by its coordinates (5, 4), we may determine a by establishing that when x = 5, y = 4.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The slope, denoted by m, is the rate of change, or the degree to which y deviates from its initial value for each unit of x that is added.

The y-intercept, denoted by the letter b, is the value of the variable y when the variable x is equal to zero. It may also be construed as the beginning value of the function.

Because the road links the locations (–3, 7) and (8, 2), the slope may be calculated as follows:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

5x + 11y = 62.

The system of equations is:

y = 2(x - 4)² + 2.

5x + 11y = 62.

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Answer:

a edge

Step-by-step explanation:

Answer:

\(78.5yd^{2}\)

Step-by-step explanation:

The formula to find the area of a circle of is: A = \(\pi r^{2}\)

However, the question wants to use 3.14 instead of pi.

We need to find the radius. The radius of the circle is half the diameter. So, the radius to 5 yards.

Now we just plug in the formula.

\(A=3.14*(5yd)^{2} \\A=3.14*25yd^{2} \\A=78.5yd^{2}\)

The value of the dimensions of the triangle using law of sines are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.

A triangle's sides and angles are related by the Law of Sines, a trigonometric formula. For every triangle with sides a, b, and c and opposing angles A, B, and C, it says that:

The equation sin A/a = sin B/b = sin C/c

In other words, for all three angles, the ratio of the sine of each angle to its opposite side is the same. When part of the sides and angles of a triangle are known, this formula can be used to find the unknown sides or angles.

The law of sines gives the ratio of the side length to the opposite angle.

Thus, using the given triangle we have:

Sin A / a = Sin C /c

Sin 92 / 35 = Sin C / 17

Sin C = 17 Sin 92 / 35

C = arcsin (17 Sin 92 / 35)

C = 29.03

Using the sum of angle of triangle we have:

A + B+ C = 180

92 + B + 29.03 = 180

B = 58.97

Now,

Sin A / a = Sin B / b

Sin 92 / 35 = Sin (58.97) / b

b = sin (58.97) (35) / sin  92

b = 30 .009

Hence, the value of the dimensions of the triangle are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.

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Answer:

a.) near the low end of frequencies that can be detected by humans.

Step-by-step explanation:

Humans can hear frequencies in the range of 20 Hz to 20,000 Hz, so the frequency range of a cat's purr is near the low end of this range.

Answer:

2

Step-by-step explanation:

Molly:

20 baskets / 4 minutes = 5 baskets/minute

Nico:

42 baskets / 6 minutes = 7 baskets/minute

7 - 5 = 2

Answer: 2

Answer:

Step-by-step explanation:

Ratio....

M = 20:4

N = 42:6

Slope....

M = 5 shots per minutes

N = 7 shots per minutes

Nico shot 2 more baskets per minute than Molly did

Hope this helped!

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

7.5÷8

=0.9375

barely even once

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

The following area tagged expression or sentence as;

1. Expression

2. Expression

3. Sentence

4. Sentence

5. Expression

Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.

These expressions are also identified with various mathematical or arithmetic operations, such as;

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The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer:

If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.

If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

BC, DE, CD

let me  know if that helps

Step-by-step explanation:

Answer:

gdiduusuehfuehvv

Step-by-step explanation:

bbzbhshxhdhhd are the best and my mom I WINNNNNN you want it to be over with you guys to come in and your mom are doing ghhdhhsuwuwhsh and your family are doing well and your family are doing well and your family are doing well and your family are doing well and your family and my wife was the best and I WINNNNNN and my mom are doing ghhdhhsuwuwhsh and what is the only ones I WINNNNNN with the kids I WINNNNNN and I will be over and I can do i and eat early for you and Darshanie and I WINNNNNN and my friend and your mom and my mom ever had a great day I love ever and your mom are the kids I will get you a great mom and I will send you a link and I WINNNNNN with the only ones I WINNNNNN with you don't need me I can get it and I will be over and your mom and your mom I will send it out tomorrow night I will send it out tomorrow night with you guys and I can send the best ones that have to do i I will send you and Darshanie and your mom I will send it and your family and I WINNNNNN and my friend are doing errands to run out to do i you guys and I WINNNNNN you want me I will send you and Darshanie is done now we have a great day for a great mom I will be over there and I WINNNNNN you and everyone and my friend and my friend and what time do the kids have a whole new world we live together I will be home tomorrow night with the only one that has to wait until the way home tomorrow morning to run out of wo you guys to run out with the best ones that w with the kids I will get you guys want me when we good day for you it

The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Answer:

4/7 of 28 robots is 16.

Step-by-step explanation:

This is because 4/7 is equal to 16/28 when you simplify it. multiply 7 by four and you get 28 as your denominator and 16 as your numerator.

Answer:

The way to represent this it is

\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)

Step-by-step explanation:

From the question we are told that

The sample mean is

The standard deviation is

Given that the confidence level is 95% then the level of significance is mathematically represented as

\(\alpha = (100-95)\)

\(\alpha = 0.05\)

The critical value for \(\frac{\alpha }{2}\) is obtained from the normal distribution table that value is

\(Z_{\frac{\alpha }{2} } = 1.96\)

Now the margin of error is mathematically represented as

\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

\(E = \frac{0.27}{\sqrt{n} }\)

Now the error range to show a 95% confidence is mathematically represented as

\(\= x - E < \mu < \= x + E\)

           \( 12.33  -   \frac{0.27}{\sqrt{n} } <  \mu < 12.33  +   \frac{0.27}{\sqrt{n} } \)

Here notice that the significant figure is keep to three to match the significant figure of the given values

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

Algebra I

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

Step-by-step explanation:

Step 1: Define

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

Step 2: Write Vertex Form

Step 3: Write Standard Form

And we have our final answers!

Answer:

The 95% confidence intervals is (0.109, 0.125).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Out of a sample of 6,458, a total of 754 reported that they have experienced physical bullying.

This means that \(n = 6458, \pi = \frac{754}{6458} = 0.1168\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1168 - 1.96\sqrt{\frac{0.1168*0.8832}{6458}} = 0.109\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1168 + 1.96\sqrt{\frac{0.1168*0.8832}{6458}} = 0.125\)

The 95% confidence intervals is (0.109, 0.125).

Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

it would be-3,000.000+40.000+7.00+0.09+0.002

Step-by-step explanation:

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer: 396

Step-by-step explanation:

Answer:

point p. ok. vrvxfff77t.