Determine the volume of the solid enclosed by the paraboloid z = x² + y² + z² = 4.

Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

Answer:

The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an isosceles triangle. It is an acute isosceles triangle.

Step-by-step explanation:

The vector-valued function at each given value of t  is :

a) i

b)  1/√2i+9/√2j

c)−cos(θ)i+9sin(θ)j

d)  −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

The given problem is related to trigonometric Ratios of Angle, where there are six trigonometric ratios sine, cosine, tangent, cotangent, cosecant, and secant. Since it is given that a  vector valued function:

r(t)= cos(t)i + 9 sin(t)j

r(t)=cos(t)i+9sin(t)j

so ,  r(0)=  cos(0)i+9sin(0)j = i ( sine cos0 =1 and sin0 =0)

r(π/4) =  cos(0)i+4sin(0)j = cos(π/4)i+9sin(π/4)j

           = 1/√2i+9/√2j

r(θ−π)= cos(θ−π)i+9sin(θ−π)j= −cos(θ)i+9sin(θ)j

(π/6+△t)−r(π/6)= cos(π/6+△t)i+9sin(π/6+△t)j−cos(π/6)i−9sin(π/6)j

=  cos(π/6+△t)i−cos(π/6)i+9sin(π/6+△t)j−9sin(π/6)j

= −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

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Evaluate (If possible) the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.)

r(t)=cos(t)i+9sin(t)jr(t)

a)r(0)=?

b)r(π/4)=?

c)r(θ−π)=?

d)r(π/6+△t)−r(π/6)=?

Answer:

160

Step-by-step explanation:

there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.

1. 4 by 6 =24

2. 6 by 11 =66

3. 7 by 10= 70

add them altogether

=160

Answer: Jay is 2x + 4 years old

Step-by-step explanation:

May's age = M

Jay's age = J

Kay's age = x

J = M + 4

M = 2x

substitution

J = 2x + 4

Hope it helps <3

Answer:

The relationship between these terms may be sums or difference. You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. Plz give brainiest

Step-by-step explanation:

Answer:

A' = (-2,0)

Step-by-step explanation:

imagine a mirror being along the line y=2.

Then A's mirror image would appear at -2,0.

Answer:

68 boys

Step-by-step explanation:

8 girls + 17 boys = 25 students.

boys make up 17/25.

17 out of 25 = (17 X 100) / 25 = 68 (%)

so, out of 100 students, there will be 68 boys

The coefficient of 30 means that the mechanic charges $30 per hour for their services, and the $50 in the equation represents the fixed charge.

A linear equation is an algebraic equation of the first degree that forms a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Example: y = 3x + 2.

The linear equation y = 30x + 50 represents a mechanic's charges, where y is the total charges and x is the number of hours worked.

The coefficient in this equation is 30, which is the slope of the line. The slope represents the rate of change, which in this case is the hourly rate that the mechanic charges for their services.

Specifically, the coefficient of 30 means that the mechanic charges $30 per hour for their services, and the $50 in the equation represents the fixed charge (or base charge) that's added regardless of the number hours worked.

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Answer:

325, 390, 416

Step-by-step explanation:

So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.

Answer:

( About ) 90%

Step-by-step explanation:

We are given the table below;

Number of seconds | Amount of water

              0                 |             0

              3                 |             75

              6                 |             150

Now from this table we see that the rate change is that for every 3 seconds of difference, the amount of water increases by 75 cm^3;

If that is so, the amount of water after 7 seconds is 150 + ( 75 / 3 ), provided the difference in seconds between 6 and 7 is 1 / 3rd that of the difference between 0 and 3, or 3 and 6;

150 + ( 75 / 3 ),

150 + 25,

175 cm^3

Now let us compute the total volume of this cylinder, as such;

πr^2 * height,

π * ( 3 )^2 * 7,

9 * π * 7,

Volume of can ⇒ 197.82 cm^3

175 / 197.82 = 0.9 = Solution; 90%

Answer:

208

Step-by-step explanation:

calculator plus had the same question before

Answer:

I think the answer would be F(7) ,because :

Step-by-step explanation:

2 < 4 -> |8-2| + 6 = 12

7 ⩾ 4 -> 15

15>12 .

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

Answer:

its the digram: )

Step-by-step explanation:

Answer:

*888888888877727723772289292

Step-by-step explanation:

88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.

The probability that there are less than two errors in a particular chapter and exactly two errors in a particular chapter is 0.1992 and 0.2240 respectively

We can model the number of errors in a chapter as a Poisson distribution with a mean of 3.0, since the occurrence of errors is random and independent, and the average number of errors is known.

Let X be the random variable representing the number of errors in a chapter.

To find the probability of less than two errors in a particular chapter, we need to calculate P(X < 2).

P(X < 2) = P(X = 0) + P(X = 1)

= e^(-3.0) × (3.0^0 / 0!) + e^(-3.0) × (3.0^1 / 1!)

= 0.0498 + 0.1494

= 0.1992

Therefore, the probability that there are less than two errors in a particular chapter is 0.1992 or approximately 19.92%.

To find the probability of exactly two errors in a particular chapter, we need to calculate P(X = 2).

P(X = 2) = e^(-3.0) × (3.0^2 / 2!)

= 0.2240

Therefore, the probability that there are exactly two errors in a particular chapter is 0.2240 or approximately 22.40%.

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Answer:

i think its c

Step-by-step explanation:

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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Answer:

6/6

Step-by-step explanation:

6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.

Answer:

I can give you the answer if you can answer a question

Step-by-step explanation:

Chebyshev's inequality produces an approximate probability because it provides an upper bound on the probability of deviation from the mean based on the standard deviation, without relying on specific distributional assumptions.

Chebyshev's inequality is a mathematical inequality that provides an upper bound on the probability that a random variable deviates from its mean by a certain amount. It states that for any random variable with a finite mean and variance, the probability that the random variable deviates from its mean by more than a certain number of standard deviations is bounded by a specific value.

The inequality is given by:

P(|X - μ| ≥ kσ) ≤ \(1/k^2\)

where X is the random variable, μ is its mean, σ is its standard deviation, and k is a positive constant.

Chebyshev's inequality is considered an approximate probability because it provides a conservative bound on the probability of deviation. It guarantees that the probability of a deviation beyond k standard deviations is no more than 1/k^2. However, it does not provide the exact probability of such deviations.

The approximation arises because Chebyshev's inequality applies to any distribution with a finite mean and variance, regardless of its specific shape. It does not rely on any assumptions about the underlying distribution, making it a very general result. However, this generality comes at the cost of accuracy. The inequality does not take into account the specific characteristics or shape of the distribution, so it may be a loose bound in some cases.

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1/10 of all take 2/5 time

10/10=10 times 1/10

so 10 times 2/5 time=20/5=4 days to finish 1 order

4 days

The amount of paint needed is 176/36000 = 0.0049 gallons, which is equivalent to 4.9 milliliters, rounded to the nearest hundredth.

To calculate how much paint Mr.Todd needs to buy to cover the outside of the entire birdhouse, we must first know the dimensions of the birdhouse. Let's assume the birdhouse has the dimensions of 10 inches long, 8 inches wide and 6 inches tall, and each side requires 1 coat of paint. The total surface area of the birdhouse is then 10 x 8 + 10 x 6 + 8 x 6 = 176 inches squared. Next, we need to know the coverage of the paint, which we will assume is 250 square feet per gallon. Since 1 square foot is equal to 144 square inches, the coverage of the paint is 36000 square inches per gallon. To find out how many gallons of paint are needed to cover the birdhouse, we need to divide the total surface area of the birdhouse (176 square inches) by the coverage of the paint (36000 square inches per gallon). Therefore, the amount of paint needed is 176/36000 = 0.0049 gallons, which is equivalent to 4.9 milliliters, rounded to the nearest hundredth.

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The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards, reflecting the graph about the y-axis, and shifting the graph 6 units left will all result in new graphs that are transformations of the original graph. Therefore:

a. Shifting f(x) 1 unit upward: y = 4x + 1

b. Reflecting f(x) about the y-axis: y = -4x

c. Shifting f(x) 6 units left: y = 4(x - 6)

The equations of the graphs that result from the given transformations:

a. Shifting f(x) 1 unit upward.

The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards means that all the points on the graph are moved 1 unit upwards. The new equation of the graph is:

y = 4x + 1

b. Reflecting f(x) about the y-axis.

Reflecting the graph of f(x) = 4x about the y-axis means that the x-coordinates of all the points on the graph are negated. The new equation of the graph is:

y = -4x

c. Shifting f(x) 6 units left.

Shifting the graph of f(x) = 4x 6 units left means that all the x-coordinates of all the points on the graph are decreased by 6. The new equation of the graph is:

y = 4(x - 6)

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Answer:

Step-by-step explanation:

radius r = 3.9 in

height h = 14.3 in

slant height s = 14.822280526289 in

volume V = 227.76860897791 in3

lateral surface area L = 181.60571368226 in2

base surface area B = 47.783624261101 in2

total surface area A = 229.38933794336 in2

In Terms of Pi π

volume V = 72.501 π in3

lateral surface area L = 57.806894052526 π in2

base surface area B = 15.21 π in2

total surface area A = 73.016894052526 π in2

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given,

Equation

14x-20y=-13

In slope intercept form

13 + 4x = 20y

13 + 4y/20 = y

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

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Answer:

it means that something is being raised to a certain power

such as, 2^2 means 2 to the 2 nd power

hope this helped!!

The monthly payment for the Chevrolet Sonic Hatchback, considering a 12% down payment and an 8-year amortized loan with a 3.5% interest rate, would be $135.84. The total cost of the car, including the down payment, would amount to $15,862.08. Additionally, the amount paid in interest over the course of the loan would be $1,807.08.

The monthly payment for the Chevrolet Sonic Hatchback is $135.84. The total cost of the car, including the down payment, is $15,862.08, and the amount paid in interest over the duration of the loan is $1,807.08.

The monthly payment calculation takes into account the price of the car, the down payment, the loan term, and the interest rate. In this case, the price of the car is $14,055.00, and the down payment is 12% of that amount, which equals $1,686.60. The loan term is 8 years, which is equivalent to 96 months. The interest rate is 3.5% per year, or 0.35% per month.

To calculate the monthly payment, the remaining amount to be financed is determined by subtracting the down payment from the car price:  $14,055.00 - $1,686.60 = $12,368.40. Then, the monthly interest rate is calculated by dividing the annual interest rate by 12: 3.5% / 12 = 0.00292. Finally, the monthly payment is computed using the amortization formula, which takes into account the loan amount, the monthly interest rate, and the loan term: $12,368.40 * (0.00292 / (1 - (1 + 0.00292)^(-96))) = $135.84.

The total cost of the car is obtained by adding the down payment to the financed amount: $12,368.40 + $1,686.60 = $15,055.00. The interest paid over the course of the loan is calculated by subtracting the financed amount from the total cost of the car: $15,862.08 - $14,055.00 = $1,807.08.

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The total amount paid in interest will be $2,823.60

To calculate the monthly payment, we can use the formula for an amortized loan:

\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)\)

Where:

M is the monthly payment,

P is the principal amount (car cost - down payment),

r is the monthly interest rate (annual interest rate divided by 12),

n is the total number of monthly payments (loan term in years multiplied by 12).

Let's calculate the monthly payment:

Principal (P) = $14,055.00 - 0.12 * $14,055.00

             = $14,055.00 - $1,686.60

             = $12,368.40

Monthly interest rate (r) = 0.035 / 12

                        = 0.0029167

Total number of monthly payments (n) = 8 years * 12 months/year

                                  = 96 months

Now we can substitute these values into the formula:

\(M = $12,368.40 * (0.0029167 * (1 + 0.0029167)^96) / ((1 + 0.0029167)^96 - 1)\)

Calculating this expression gives us:

M ≈ $158.25

Therefore, the monthly payment for the amortized loan will be approximately $158.25.

To calculate the total cost of the car, including the interest, we can multiply the monthly payment by the total number of monthly payments:

Total cost = M * n

          = $158.25 * 96

          = $15,192.00

Therefore, the car will cost a total of $15,192.00.

To calculate the amount paid in interest, we can subtract the principal amount from the total cost:

Interest paid = Total cost - Principal

            = $15,192.00 - $12,368.40

            = $2,823.60

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LM=XY, then LM-GH= XY - GH and this illustrates the subtraction property of equality.

It should be noted that the subtraction property of equality simply implies that when the same number is subtracted form both sides, then the two sides will still remain equal.

In this case, when LM=XY, then LM-GH= XY - GH. This illustrates the subtraction property.

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Given:

a.) Over the last three evenings, Keisha received a total of 90 phone calls at the call center.

b.) The third evening, she received 3 times as many calls as the second evening.

c.) The first evening, she received 10 fewer calls than the second evening.

Let's first express the given relationships into an equation.

Let,

x = number of calls on the 1st evening

y = number of calls on the 2nd evening

z = number of calls on the 3rd evening

Over the last three evenings, Keisha received a total of 90 phone calls at the call center.

The third evening, she received 3 times as many calls as the second evening.

The first evening, she received 10 fewer calls than the second evening.

Let's substitute z = 3y and x = y - 10 in x + y + z = 90 to find y.

Therefore, there are 20 calls on the 2nd evening.

Let's now determine how many calls are there on the 1st and 3rd evenings.

y = 20

z = 3y

= 3(20)

z = 60

x = y - 10

= 20 - 10

x = 10

In summary:

There are 10 calls on the 1st evening.

There are 20 calls on the 2nd evening.

Therefore 60 calls on the 3rd evening.

Answer:

140 ft²

Step-by-step explanation:

First, we divide the figure into the two visible polygons. The first being a right angled triangle and the second being a rectangle.

Area of a right angled triangle = 0·5 × b × h

= 0·5 × 6 × 4 I've included a picture to show where the 6 and 4 came from

= 12 ft²

Area of a rectangle = l × w

= 16 × 8

= 128 ft²

Add the two areas to get the area of the figure

= 128 + 12

∴ the area of the figure is 140 ft²