setup a double integral that represents the surface area of the part of the paraboloid z=4−3x2−3y2z=4−3x2−3y2 that lies above the xyxy-plane.

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

Answer:

10 boys have brown hair

Step-by-step explanation:

40 x .25 = 10

Answer:

10 boys

Step-by-step explanation:

Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

Step-by-step explanation:

a = 3

b = ?

c= 6

also

C2 + 3a × b

\(6 \times 2 + 3 \times 3 \times b \\ = 12 + 3 \times 3b \\ = 12 + 9b \\ \)

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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\(\large\rm{Problem:}\)

Customers per day:

98, 87, 93, 82, 101, 99, 97, 97, 91

Find the mean to the nearest tenth:

\(\large\rm{Solution:}\)

Mean = \( \tt \frac{sum \: of \: data}{number \: of \: data}\)

\( \tt \frac{98 + 87 + 93 + 82 + 101 + 99 + 97 + 97 + 91}{9} = \frac{845}{9} = \green{93.89}\)

Therefore, the mean is 93.89

Answer:

Rent for B = 1896
Rent for C = 3062

Step-by-step explanation:

the B and C apartment's monthly rent combined  is $4958
rent of B is 1166 less than rent C
so the equation is
X+ (X+1166) = 4958
X= rent B
X+1166 = rent C

simplifying the equation
2X + 1166 = 4958
subtracte 1166
2X = 3792  

X= 1896, so the rent for B is 1896
after adding the 1166
the rent for C is 3062

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

The scalar equation for plane #2 is,

⇒ -30x - 24y - 14z + 138 = 0.

Since, We have to given that,

Plane #2 intersects #₁ at a right angle, we know that the normal vector of plane #2 is parallel to the normal vector of #₁, which is (4, -2, 7).

Hence, the normal vector of plane #2, we can use the cross product of vectors AB and the normal vector of #₁:

n = AB x (4, -2, 7)

where AB is the vector that goes from A to B:

AB = (2 - 3, -2 - 2, 1 - 0)

AB = (-1, -4, 1)

Taking the cross product:

n = (-1, -4, 1) x (4, -2, 7)

n = (-30, -24, -14)

This is the normal vector of plane #2.

So, For a scalar equation for the plane, we can use the point-normal form:

-30(x - 3) - 24(y - 2) - 14(z - 0) = 0

-30x + 90 - 24y + 48 - 14z = 0

-30x - 24y - 14z + 138 = 0

Therefore, the scalar equation for plane #2 is,

⇒ -30x - 24y - 14z + 138 = 0

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Answer:

klmqe

Step-by-step explanation:

Answer:

The answer is that this equation is false it does not equal.  688792≠2000

Step-by-step explanation:

If yu plug in the values of x and y you will get 688792 and that is not equal to 2000.

Josh will cover a total distance of 38 kilometres while trekking in Glacier National Park, having already covered 17 km of the park's trails.

The idea that will be applied in this situation is the usage of models to simplify expression.

Josh was able to hike 17 km, and since this is 2 km short of being halfway done, we can create the equation that models the situation.

The model can be written as  [17 + 2 = (1/2)h ]

h =length of the hike.

then  we can substitute the values so that we can know the value of h,

[17 + 2 = (1/2)h ]

[19 =0.5h]

h = 38 km

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The properly written question:

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 ​2 ​ ​1 ​​ start fraction, 1, divided by, 2, end fraction of the way done with his hike.

Answer:

10 hours at $140

Step-by-step explanation:

Well, uhh...

"same amount of money" means the same value on the y axis

looking at the graph one can see they intercept at point (10,140)

so if they both work 10 hours, their total individual money will be $140

Answer:

10 hour because you will need to find the time the line intercect(meaning cross each other) and it was at 10 hour for 140 dollar

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 8 different colorings that can be made.

Color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation.

The number of colorings can be calculated by using the equation 2^6 = 64. This is because each of the six faces of the cube can be colored either blue or red, giving two options for each face.

As there are six faces, the total number of colorings is 2^6 = 64. However, some of these colorings are the same after a rotation, so the total number of distinct colorings is 8.

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The ans is :

y_2(x) = x - (1/3!)x^3 + (2/135!)x^5 - (1/4725!)x^7 + ...

We are given the differential Equation:

y′′ + 2xy′ + 2y = 0

To find two power series solutions about the ordinary point x=0, we assume that y has a power series representation of the form:

y = ∑n=0^∞ a_n x^n

Differentiating this expression twice, we get:

y′ = ∑n=1^∞ na_n x^(n-1)

y′′ = ∑n=2^∞ n(n-1)a_n x^(n-2)

Substituting these expressions into the differential equation, we get:

∑n=2^∞ n(n-1)a_n x^(n-2) + 2x ∑n=1^∞ na_n x^(n-1) + 2 ∑n=0^∞ a_n x^n = 0

Simplifying and rearranging terms, we get:

∑n=0^∞ [(n+2)(n+1)a_(n+2) + 2na_n + 2a_n] x^n = 0

Since this equation must hold for all x, we can equate the coefficients of x^n to obtain a recurrence relation:

(n+2)(n+1)a_(n+2) + 2na_n + 2a_n = 0

Simplifying this expression, we get:

a_(n+2) = -[(2n+2)/(n+2)(n+1)] a_n

This is our recurrence relation. We can use it to find the coefficients a_n for any n once we have determined the values of a_0 and a_1.

Let us now find two power series solutions about x=0.

First Solution:

We take a_0 = 1 and a_1 = 0 to get:

a_2 = -2/2! a_0 = -1

a_3 = 0

a_4 = 4/4! a_2 = 1/3!

a_5 = 0

a_6 = -2/6! a_4 = -1/90!

a_7 = 0

a_8 = 4/8! a_6 = 1/2520!

...

Hence, the first power series solution is:

y_1(x) = a_0 + a_2 x^2 + a_4 x^4 + a_6 x^6 + ...

Substituting the values of a_n, we get:

y_1(x) = 1 - x^2 + (1/3!)x^4 - (1/90!)x^6 + ...

Second Solution:

We take a_0 = 0 and a_1 = 1 to get:

a_2 = 0

a_3 = -2/3! a_1 = -1/3!

a_4 = 0

a_5 = 4/5! a_3 = 2/135!

a_6 = 0

a_7 = -2/7! a_5 = -1/4725!

a_8 = 0

...

Hence, the second power series solution is:

y_2(x) = a_1 + a_3 x^3 + a_5 x^5 + a_7 x^7 + ...

Substituting the values of a_n, we get:

y_2(x) = x - (1/3!)x^3 + (2/135!)x^5 - (1/4725!)x^7 + ...

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Answer: x= y =

Step-by-step explanation:

The total simple interest earned by Liz at the end of 5 years is found as: $28.5

A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.

Principal P = $570

Interest r = 1%

Time t = 5 years.

SI = P*R*t / 100

SI = 570*1*5 / 100

SI = 28.5

Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.

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The complete question is-

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B.  Asking 25 students how tall they are and recording their answers

There are not two options

C.  Rolling a single number cube until you get a 5

There are not two options

D.   Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

A P 3 X

-2x^2 - 20x - 53 is the standard form of the given vertex form

Given the vertex form of a quadratic equation expressed as:

y = -2(x+5)^2 - 3

The standard form is in the form y = ax^2 + bx + c

Expand the given vertex form

y = -2(x+5)^2 - 3

y = -2(x^2+ 10x + 25) - 3

y = (-2x^2 - 20x - 50) - 3

y = -2x^2 - 20x - 53

Hence the standard form of the given expression is -2x^2 - 20x - 53

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Answer:

10x^9

Step-by-step explanation:

Add the exponents together and multiply normally

2x^6+5x^3

=10x^9

Answer:

2x^6x+5x^3

Step-by-step explanation:

First you want to

Add the exponents like you would with regular numbers

Which comes out to

2

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

\(a = 4\)

Step-by-step explanation:

\((2a) = 8\)

\(a = \frac{8}{2} \)

\(a = 4\)

Based on these assumptions, we estimate that the margin of error for the given poll results is approximately 3.12%.

To determine the margin of error for the given poll results, we need to consider the range between 33% and 37% as the estimated proportion of the population that visits the library.

The margin of error represents the maximum likely difference between the actual population proportion and the estimated proportion from the poll.

It provides an indication of the uncertainty associated with the poll results.

To calculate the margin of error, we can use the following formula:

Margin of Error = Critical Value \(\times\) Standard Error

The critical value is determined based on the desired level of confidence for the poll.

Let's assume a 95% confidence level, which is a common choice. In this case, the critical value corresponds to the z-score of 1.96.

The standard error is calculated as the square root of (p \(\times\) (1-p)) / n,

where p is the estimated proportion and n is the sample size.

Given that the estimated proportion ranges between 33% and 37%, we can use the midpoint (35%) as the estimated proportion.

Since the sample size is not provided, we cannot calculate the exact margin of error.

However, we can provide an estimate assuming a reasonably large sample size.

Let's assume a sample size of 1000.

Using the formula mentioned above, we can calculate the margin of error:

Estimated Proportion (p) = 0.35

Sample Size (n) = 1000

Critical Value (z) = 1.96

Standard Error = √((0.35 \(\times\) (1-0.35)) / 1000) ≈ 0.0159

Margin of Error = 1.96 \(\times\) 0.0159 ≈ 0.0312 or 3.12%

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =140 \end{cases}\implies n140=180n-360 \\\\\\ 140n+360=180n\implies 360=40n\implies \cfrac{360}{40}=n\implies 9=n \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ their~sum }{(9)(140)}\implies \text{\LARGE 1260}\)

Answer: 24

Step-by-step explanation: first we can rewrite the expression as 170%*x=40.8 (x is your answer). By solving and simplifying it, you should get 24.

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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