Brad buys a video game desk for four dollars there was a discount of 20% off what is the sale price

Answer:

\(h=6.93units\)

Step-by-step explanation:

1. Use the formula of volume of a cone

Volume of a cone=\(\frac{1}{3}\pi r^{2} h\)

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

\(\frac{1}{3} *3.14 * 2^{2} h=29 units^{3}\)

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

\(\frac{314}{75}h =29 units^{3}\)

\(\frac{314}{75}\) is the result of \(\frac{1}{3}* 3.14*2^{2}\)

Move \(\frac{314}{75}\) to other side.

\(h=\frac{29units^{3} }{\frac{314}{75} }\)

\(h= 6.92675 units\)

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

\(h= 6.92675 units\)

\(h=6.93units\)

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

After solving the differential equation f ''(t) = 2et + 7 sin t to find function t we get f(t) = (1/3)et³ - 7 sin t + (1/3)e(π)³t.

We need to integrate the given second derivative twice with respect to t.

First, we integrate f''(t) with respect to t to obtain f'(t):

f'(t) = ∫(2et + 7 sin t) dt

= et^2 - 7 cos t + C1

where C1 is the constant of integration.

Next, we integrate f'(t) with respect to t to obtain f(t):

f(t) = ∫(et^2 - 7 cos t + C1) dt

= (1/3)et^3 - 7 sin t + C1t + C2

where C2 is the constant of integration.

Using the initial conditions f(0) = 0 and f(π) = 0,

we can solve for C1 and C2:

f(0) = (1/3)e(0)^3 - 7 sin 0 + C1(0) + C2 = 0

Therefore, C2 = 0

f(π) = (1/3)e(π)^3 - 7 sin π + C1(π) + C2 = 0

(1/3)e(π)^3 - C1 = 0

C1 = (1/3)e(π)^3

Therefore, the solution to the differential equation is:

f(t) = (1/3)et³ - 7 sin t + (1/3)e(π)³t.

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Answer:

29.565217391304%

Step-by-step explanation:

thanks

hope it helps

Answer:

In 25 minutes, the monthly phone charges of both companies will be the same.

Step-by-step explanation:

If we allow m to represent the number of minutes, we can create two equations for C, the total cost of phone charges from both companies:

Phoenix equation:  C = 0.5m + 30

Nuphone equation: C - 0.10m + 40

Now, we can set the two equations equal to each other.  Solving for m will show us how many minutes must Abby use for the total cost at both companies to be the same:

0.5m + 30 = 0.10m + 40

Step 1:  Subtract 30 from both sides:

(0.5m + 30 = 0.10m + 40) - 30

0.5m = 0.10m + 10

Step 2:  Subtract 0.10m from both sides:

(0.5m = 0.10m + 10) - 0.10m

0.4m = 10

Step 3:  Divide both sides by 0.4 to solve for m (the number of minutes it takes for the total cost of both companies to be the same)

(0.4m = 10) / 0.4

m = 25

Thus, Abby would need to use 25 minutes for the total cost at both companies to be the same.

Optional Step 4: Check the validity of the answer by plugging in 25 for m in both equations and seeing if we get the same answer:

Checking m = 25 with Phoenix equation:

C = 0.5(25) + 30

C = 12.5 + 30

C = 42.5

Checking m = 25 with Nuphone equation:

C = 0.10(25) + 40

C = 2.5 + 40

C = 42.5

Thus, m = 25 is the correct answer.

Answer:

How to do it -

1 . Determine a single event with a single outcome.

2 . Identify the total number of outcomes that can occur.

3 . Divide the number of events by the number of possible outcomes.

Answer = 2/3

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

H0: u = 24000

H1: u > 24000

we have n = 84 homes

bar x = 27500

s = 2400

Next we have to find the test statistic

The formula for this is given as

\(t = \frac{x-u}{s/\sqrt{n} }\)

When we out in the values we would have

\(t = \frac{27500-24000}{2400/\sqrt{84} }\)

This would give us the answeer of the t test as

t test = 13. 3658

We have alpha = 0.02

the degree of freedom = 84 - 1 = 83

we have to find tα/2, df

=  ±2.0865

Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.

Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

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We found that the sum of the convergent series in question 1 is 2.9153, and we determined the convergence of the series in question 2 using the ratio test.

1. The sum of the convergent series is given by the formula:

S = a/(1-r),

where a is the first term and r is the common ratio. In this case, the first term is sin(7) and the common ratio is sin(7)² . Therefore,

a = sin(7) = 0.1205,

and

r = sin(7)² = 0.0146.

Substituting these values into the formula, we get:

S = 0.1205/(1-0.0146) = 2.9153.

Therefore, the sum of the convergent series is 2.9153 (rounded to four decimal places).

2. To determine the convergence of the series, we can use the ratio test.

Let a_n = (n²  + 1)/(3n³ + 2).

Then,

lim(n->∞) |a_n+1/a_n| = lim(n->∞) |((n+1)² + 1)/(3(n+1)³ + 2) * (3n³ + 2)/(n²   + 1)|

= lim(n->∞) |(n²  + 2n + 2)/(3n³ + 9n²  + 7n + 2)|

= 0.

Since the limit is less than 1, by the ratio test, the series converges.



In summary, we found that the sum of the convergent series in question 1 is 2.9153, and we determined the convergence of the series in question 2 using the ratio test.

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Answer:

y = -1/4x + 5

Step-by-step explanation:

(y - y1) = m(x - x1)      Point - slope form

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 2 + 3

y = -1/4x + 5

The zeros of the polynomial are: x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).We have found all three real zeros of the polynomial, which confirms that there are no complex zeros.

f(x) = 2x³ - 112x² + 27x - 41x + 15

To find the zeros and their multiplicities of this polynomial, we can begin by using Descartes' Rule of Signs. Let's consider the sign changes in the coefficients:

There are 2 sign changes in the coefficients (from 2x³ to -112x² and then to 27x, and finally to -41x and 15), which means there are either 2 or 0 positive real zeros.

There are no sign changes when we replace x with -x, which means there are either 0 or 2 negative real zeros.

Thus, there can be either 0, 2, or 4 real zeros, but we cannot determine their exact number or location with Descartes' Rule of Signs alone.

Next, we can use the Upper and Lower Bound Theorem to limit our search for rational zeros. According to this theorem, any rational zero of the polynomial must be of the form p/q, where p is a factor of the constant term (15 in this case) and q is a factor of the leading coefficient (2 in this case). Therefore, the possible rational zeros of the polynomial are:

±1/2, ±1, ±3/2, ±5, ±15/2, ±30

We can use synthetic division or long division to check these possible rational zeros and see which ones are actually zeros of the polynomial. Doing so, we find that the rational zeros of the polynomial are:

x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).

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The mean exam score of student 2 for all four exams is 87.5.  Based on the information provided, you have a spreadsheet containing the scores of 50 students on 4 different exams. To calculate the mean exam score for Student 2 across all four exams, you need to follow these steps:

1. Locate the scores for Student 2 on all four exams. They should be on the first sheet of the spreadsheet and likely in a row or column corresponding to Student 2.

2. Add the scores of Student 2 for all four exams together. For example, if their scores were 80, 85, 90, and 95, the total would be 80 + 85 + 90 + 95 = 350.

3. To calculate the mean, divide the total score (from step 2) by the number of exams (which is 4 in this case). Using the example scores above, the mean would be 350 / 4 = 87.5.

So, the mean exam score for Student 2 for all four exams is 87.5. Keep in mind that this example assumes hypothetical exam scores; you will need to replace them with the actual scores found in the spreadsheet to obtain the correct mean score for Student 2.

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The required position of the child after 15 seconds of revolution.

The word merry go round began from the Italian Carousel and Spanish Carousel ("little fight", utilized by crusaders to portray a battle readiness exercise and game played by Turkish and Bedouin horsemen in the twelfth hundred years).

A child enters at (0, 1) that is, on the due north position.

As it says the carousel revolves counterclockwise.

1 minute = 60 seconds = one round

rounds revolve in one second = 1/60 rounds

Then rounds in 15 seconds = 15/60 = 1/4 = 0.25

Thus, point after 15 seconds is (-1, 0).

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The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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Answer:

In this equation R would equal 88 because it satisfies the equation.

Step-by-step explanation:

You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.

Hope this helps :)

Answer:

The length of s is 129 inches to the nearest inch.

Step-by-step explanation:

In ΔQRS

∵ q is the side that opposite of ∠Q

∵ r is the side that opposite of ∠R

∵ s is the side that opposite of ∠S

∵ q = 91 inches, r = 67 inches, m∠S = 109°

→ To find side s we will use the cosine rule

∵ s² = q² + r² - 2(q)(r)cos∠S

∴ s² = (91)² + (67)² - 2(91)(67)cos(109°)

∴ s² = 16739.97808

→ Take square root for both sides

∴ s = 129.3830672

→ Round it to the nearest inch (whole number)

∴ s = 129 inches

∴ The length of s is 129 inches to the nearest inch.

Answer:

set is a collection of distinct elements. vector is an element of a vector space.

Step-by-step explanation:

The quantity of gasoline that must be left in his tank if he wants to complete the trip without stopping is 8.5 gallons of gasoline.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In this context, an equation that models the situation is given by:

y = mx + c

340 = 28x + 102

28x = 340 - 102

28x = 238

x = 238/28

x = 8.5 gallons of gasoline.

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If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable is 16%. The correct option is (B)

The percentage of variation in the dependent variable explained by the variation in the independent variable can be determined using the coefficient of correlation.

The coefficient of correlation, often denoted as "r," measures the strength and direction of the linear relationship between the variables.

For the percentage of variation explained, we square the coefficient of correlation (r) and multiply it by 100.

This represents the proportion of the variation in the dependent variable that can be attributed to the variation in the independent variable.

We have that the coefficient of correlation is 0.4, we calculate the percentage of variation explained:

Percentage of variation explained = (r^2) * 100

                               = (0.4^2) * 100

                               = 0.16 * 100

                               = 16%

Therefore, the correct answer is: B) 16%.

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Answer:

No, the reasoning is not correct.

Step-by-step explanation:

39.99 x .14 = 5.5986  Does it make sense that the sales price plus the tax would be $5.60?  Doesn't that seem really low?

39.99 x .3  = 11.997 is the amount that we are taking off of the original price.

39.99 - 12 (Rounded to the nearest cent) is 27.99.

Now we pay the tax on the discounted amount of the item.  

27.99 x .16 = 4.4784 or 4.48 rounded to the nearest cent.

The out the door cost of the item

is 27.99 + 4.48 = 32.48

Answer:

\(3v^2\left(5v^6-7v^3\right)=15v^8-21v^5\)

Step-by-step explanation:

Given the expression

\(3v^2\left(5v^6-7v^3\right)\)

Apply the distributive law

\(a\left(b-c\right)=ab-ac\)

\(a=3v^2,\:b=5v^6,\:c=7v^3\)

\(=3v^2\cdot \:5v^6-3v^2\cdot \:7v^3\)

\(=3\cdot \:5v^6v^2-3\cdot \:7v^3v^2\)

\(=15v^8-21v^5\)

Thus, we conclude that

\(3v^2\left(5v^6-7v^3\right)=15v^8-21v^5\)

When you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole.

It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.

The top number in a fraction is referred to as the numerator, while the bottom number is referred to as the denominator.

4/5, for instance, is a fraction.

What happens to the denominator of a fraction when you divide it by a negative number is unimportant because the entire result, or quotient, is the opposite of whatever the original fraction was.

Therefore, when you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.

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Answer:

Hey, just here so he can get brainliest, have a nice day!

Step-by-step explanation:

Answer:

o

Step-by-step explanation:

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

Answer:

y=-4

I think it helps you

Step-by-step explanation:

\(\tt{-y+6y-16y+15y=-16 }\)

\(\tt{ 21y-17y=-16 }\)

\(\tt{4y=-16 }\)

\(\tt{ y=\dfrac{-16}{4} }\)

\(\bold{ y=-4 }\)

Answer:

$190.80.

Step-by-step explanation:

So first let's figure out how much the computer cost after the sale. 10% = 0.10.

$1200 x 0.10 = $120. He got a $120 discount.

$1200 - $120 = $1080. This is the amount BEFORE tax.

Let's add on sales tax. 6% = 0.06.

$1080 x 0.06 = $64.80.

Now add the tax to the sale price.

$1080 + $64.80 = $1144.80 total discounted price with tax.

He is making 6 monthly payments, so divide this total by 6.

$1144.80 / 6 = $190.80.

(A quicker way. - - - 1200*(1-0.1)*1.06 = 1144.80 / 6 = 190.80).

Answer:

12

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , thus

exterior angle = 180° - 150° = 30°

The sum of the exterior angles of a polygon = 360° , thus

number of sides = 360° ÷ 30° = 12

Answer:

savage love

Step-by-step explanation:

When radioing the hospital to give a report on a patient, it is important to use code words to protect the patient's identity, remain objective and impartial, and provide as much detail as possible.

It is not necessary to speak quickly, as clear and accurate communication is more important than speed. Providing detailed information about the patient's condition, including vital signs and any treatment administered, will help the hospital staff prepare for the patient's arrival and provide appropriate care. Additionally, it is important to maintain patient confidentiality and avoid disclosing any identifying information that could potentially compromise the patient's privacy.

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