Luis, Marissa, and Federico are raising money for a school trip. Luis


has raised of the total amount needed, Marissa has raised 5 of 7 the total amount needed, and Federico has raised 11 of the total amount needed. Who has raised the most money? 10

Answer:

ProvideD :

To FinD :

SolutioN :

\( \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} \)

\( \longrightarrow \tt \: a = 1082.43216\)

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Answer:

$91.80

Step-by-step explanation:

To find her total wages, we would multiply 12 x 9 and get 108.

Now we need to find 15% of that.  15% means 15/100 so divide 15 by 100 to get .15.

.15 x 108 = 16.20  This is the amount that we need to subtract from 108.

108 - 16.20 = 91.80

Answer: $91.8

Step-by-step explanation:

12*9=108

108*(1-0.15)=

108*0.85=$91.8

Answer:

$240

Step-by-step explanation:

I already put the working, I'm just typing this to get 20 words. :)

Answer:

6

Step-by-step explanation:

n - number

9n + 4 = 58

9n = 54

n = 54/9 = 6

Number of drinks = 3

From the question we are told that:

Ordered drink 4 1/2 ounces of 80-proof liquor

Generally,

80-proof liquor contains 40\% alcohol

Giving the drink a standard 1.5 ounce of distilled spirit

Therefore,

Number of drinks = 4.5 / 1.5

So, Number of drinks = 3

A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified. The avoirdupois ounce, or precisely 28.349523125 g, is 116 of an avoirdupois pound and is used in both the United States and the United Kingdom. Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items. Although the avoirdupois ounce is the standard unit of mass for most applications.

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The formula for the height above the ground, h(t) is h(t) = 255 sin (π/20 t) + 20.

The amplitude is half the distance between the highest and lowest points, which is (530 - 20)/2 = 255 feet. So A = 255.

The period is 40 minutes, so B = 2π/40 = π/20.

At t = 0 (when we board the Ferris Wheel), we are 20 feet above the ground.

This means there is no phase shift, so C = 0.

The vertical shift is also 20 feet, so D = 20.

Putting it all together, we have:

h(t) = 255 sin (π/20 t) + 20

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Answer:

90

Step-by-step explanation:

Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.

Answer:

$6.41

Step-by-step explanation:

47.92 - 3.05 = 44.87

44.87/7 = $6.41

Answer:

1320 feet i think

Step-by-step explanation:

41 mph is 60 feet a second

22 x 60 is 1320

i think this is the correct awnser

The length of the arc with a central angle of 30 degrees and radius 4 inches is 2.09 units

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

central angle = 30 degrees

Radius = 4 units

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 30/360 * 2 * 3.14 * 4

Evaluate

Length of arc = 2.09

Hence, the length of the arc is 2.09 units

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Answer:

The baby gained 29 oz.

Step-by-step explanation:

1 pound is equal to 16 oz (ounces).

10 pounds is equal to 10 x 16 oz = 160 oz.

8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.

160 oz - 131 oz = 29 oz.

The baby gained 29 oz.

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Answer:

The value of p(-a) must be 0

There is an x intercept of the function at (-a,0)

Step-by-step explanation:

(x + a) is a factor of a function p(x)

that means, that p(x) must have an x-intercept at the point x = -a

This can be written in two different ways,

If (x + a) is a factor of a polynomial function, p(x), then the two statements that are true are:

A factor of a polynomial function is a binomial that, when multiplied by another polynomial, gives the original polynomial function. If (x + a) is a factor of p(x), then p(x) can be written as (x + a)q(x), where q(x) is another polynomial function.

According to the Factor Theorem, if (x + a) is a factor of p(x), then p(a) = 0. This means that the value of the polynomial function at x = a is 0.

Additionally, if p(a) = 0, then there is an z-intercept of the function at (a,0). This is because the z-intercept is the point where the function crosses the z-axis, and this occurs when the value of the function is 0.

Therefore, the two statements that are true are "The value of p(a) must be 0" and "There is an z-intercept of the function at (a,0)".

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The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

4) \(A_{QRST} = A_{Q'R'S'T'} = 9\).

5) The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the geometric loci conserved the Euclidean distance.

6) x = 1, w = 3, y = - 1/4, z = 1/3

Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. In this question we have applications of translations, a kind of rigid transformation.

Exercise 4

In this part we must determine the areas of rectangles QRST and Q'R'S'T':

Rectangle QRST

A = RS · QT

A = 3 · 3

A = 9

Rectangle Q'R'S'T'

Q'(x, y) = (2, - 3) + (- 3, - 3)

Q'(x, y) = (- 1, - 6)

R'(x, y) = (2, 4) + (- 3, - 3)

R'(x, y) = (- 1, 1)

S'(x, y) = (5, 4) + (- 3, - 3)

S'(x, y) = (2, 1)

T'(x, y) = (5, - 3) + (- 3, - 3)

T'(x, y) = (2, - 6)

A = R'S' · Q'T'

A = 3 · 3

A = 9

The rectangles QRST and Q'R'S'T' have both an area of 9 square units.

Exercise 5

The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the geometric loci conserved the Euclidean distance.

Exercise 6

In this case, we must solve the following equations:

PQ = A'(x, y) - A(x, y)

(4, 1) = (2 · x + 1, 4) - (- 1, w)

(4, 1) = (2 · x + 2, 4 - w)

(4, 1) = (2 · x, - w) + (2, 4)

(2, - 3) = (2 · x, - w)

(x, w) = (1, 3)

PQ = B'(x, y) - B(x, y)

(4, 1) = (3, 3 · z) - (8 · y - 1, 1)

(4, 1) = (2 - 8 · y, 3 · z)

(4, 1) = (- 8 · y, 3 · z) + (2, 0)

(2, 1) = (- 8 · y, 3 · z)

(y, z) = (- 1/4, 1/3)

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Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

If A = \(PDP^{-1}\), Then \(A^{k}\) = \((PDP^{-1}) ^{k}\) = \(PDP^{-1}\)\(PDP^{-1}\) .....\(PDP^{-1}\) = \(PD^{k} P^{-1}\)since \(P^{-1}\) P = I, the identity matrix.

Further, the representation can be made as in the following attachment.

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Answer:

Yes! these are in the same proportion

Step-by-step explanation:

Lhs = 3 over 11/2 = 3/(11/2)

=>3× (2/11)

=> 6/11

=> Rhs

5.424 ≈ 5.420

5.424

↓4 = Tenth

   ↓2 = Hundredth

      ↓4 = Thousandth

The value of number after rounded to the nearest hundredth is, 5.42

In rounding a number into the nearest hundredth,

We look at the tenths place digit, If tenths place digit is 0, 1, 2, 3 or 4,

Then the number rounded to previous hundredth,

While, if the tenths place digit is 5, 6, 7, 8 or 9,

Then the number is rounded to next hundredth,

Here, the given number is,

⇒ 5.424

Here, Tenths place digit = 2,

Hence, it would be rounded to previous hundred,

Which is, 5.424 ≈ 5.42

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Answer:

x = 6

Step-by-step explanation:

the opposite sides in a rectangle are congruent.

since the rectangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{5x}{18}\) = \(\frac{10}{x}\) ( cross- multiply )

5x² = 18 × 10 = 180 ( divide both sides by 5 )

x² = 36 ( take square root of both sides )

x = \(\sqrt{36}\) = 6

The future value of $100 compounded continuously for 2 years at a stated annual interest rate of 10 percent per year is approximately $121.04.

To calculate the future value using continuous compounding, we can use the formula:

FV = P * e^(rt)

Where FV is the future value, P is the principal amount (initial investment), e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (expressed as a decimal), and t is the time period in years.

In this case, the principal amount (P) is $100, the annual interest rate (r) is 0.10 (10% expressed as a decimal), and the time period (t) is 2 years. Plugging these values into the formula, we have:

FV = $100 * e^(0.10 * 2)

Calculating the exponent, we get:

FV ≈ $100 * e^0.20

Using the value of e (approximately 2.71828), we find:

FV ≈ $100 * 2.71828^0.20 ≈ $121.04

Therefore, the future value of $100 compounded continuously for 2 years at a stated annual interest rate of 10 percent per year is approximately $121.04.

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Answer: $120,000

Step-by-step explanation:

Answer:

The final price of the jacket is $40.95.

Step-by-step explanation:

65.00 * 40% = 26

65.00 - 26 = 39

39 * 5% = 1.95

39 + 1.95 = 40.95

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75, thus the correct option is (d). The question is related to hypothesis testing in statistics.

If the p-value is 0.03 and the level of significance is 0.10, we reject the null hypothesis if the p-value is less than 0.10.

Since the null hypothesis is not specified in the question, we assume that it is that the average rating of the fruit drink is no more than 4.75.

Therefore, if the p-value is less than 0.10, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the average rating of the fruit drink is more than 4.75.

Since the p-value, in this case, is 0.03, which is less than the level of significance of 0.10, we would reject the null hypothesis and conclude that based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

Therefore, the correct answer is (d) based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

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Answer:

1.05x I think

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. 1/2 is the fraction of the box of chocolates did Seth and to eat together.

Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. If we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin.  The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. 1/2 is the fraction of the box of chocolates did Seth and to eat together.

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Answer:

x⁵ - 1/3x² -1

Step-by-step explanation:

In order to write polynomials in standard form:

1) Find the degree (power) of each term

2) Arrange them in descending order (largest to smallest)

We have : -1 + x⁵ - 1/3x²

The degree of -1 is 0 since there is no power.

The degree of x⁵ is 5.

The degree of - 1/3x² is 2.

Now arranging them in descending order:

x⁵ has the largest degree, followed by - 1/3x² and then -1, so the polynomial in standard form is:

x⁵ - 1/3x² -1