Find the value(s) of such that the area of the region bounded by the parabolas y = z2 - c2 c and y = c2 - x2= 576. You should also be able to sketch this region on the xy plane

The solution is, given below.

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

here, we have.

By measuring the temperature of a thing it can be determined whether it is hot or cold.

Temperature of the thing can be measured by degree Centigrade or by degree Fahrenheit. This is the instrument that will exactly measure the temperature of the substance and whether it is hot or cold. If the substance has a higher temperature than our body temperature then it would automatically feel hot to us and if the temperature of the substance is lower than our body temperature, then it will definitely feel cold to us.

This is our sense telling us whether the substance in question is hot or cold.

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The radius of the area the sprinkler has watered is 8.06 yards.

Rotation is spinning around a fixed point with a fixed radius in circular motions.

It is given that a sprinkler rotates 360 degree

The area watered is 204 sq. yards

Radius = ?

A sprinkler rotates in circle

Therefore the area of the circle = π r²

204 = π r²

204 * 7 /22 = r²

r² = 64.91

r = 8.06 yards

Therefore the radius of the area the sprinkler has watered is 8.06 yards.

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Answer:  complementary angle

Step-by-step explanation:

Answer:

88.4° and 1.6°

Step-by-step explanation:

let the angle be x then its complement is 90 - x ( complementary angles sum to 90° )

the angle x is 86.8° less than its complement , so

x - 86.8 = 90 - x ( add x to both sides )

2x - 86.8 = 90 ( add 86.8 to both sides )

2x = 176.8 ( divide both sides by 2 )

x = 88.4

and 90 - x = 90 - 88.4 = 1.6

the 2 angle measures are 88.4° and 1.6°

Answer:

-6

Step-by-step explanation:

2(-1)^2 + 8*-1 = 2*1+8*-1=2-8=-6

Answer:

-6

Step-by-step explanation:

f(-1) for x

2x^2+8x

2(-1)^2+8(-1)

2-8

-6

The height of 70 inches, and location of the wristband as well as the period of 15 seconds gives the function for the height of the wristband as the equation;

The model for the height can be derived from the general form of the sine function as follows;

Maximum point = 70 - 4 = 66 at t = 0

Minimum point = 4

Amplitude, A = (66 - 4) ÷ 2 = 31

D = 4 + 31 = 35

At t = 0, we have;

66 = 31 × sin(B × 0 - C) + 35

31 = 31 × sin(- C)

sin(- C) = 1

C = -π/2

1 minute = 60 seconds

1 second= 1 minute/60

15 seconds = (15/60) minutes

Period = 15 seconds = 15/60 minutes

Period = 2•π/B

Therefore;

15/60 = 2•π/B

1/4 = 2•π/B

B = 2•π/(1/4) = 8•π

y = Height of the function

Let h represent the height of the wristband.

The equation for the height is therefore;

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Answer:

distributive property

Answer:

associative property

Step-by-step explanation:

The associative property states that you can reorder or regroup numbers and still get the same answer.  In this example, we are regrouping the numbers (parenthesis around different numbers)

Answer:

450 miles in total during her training

Step-by-step explanation:

Since it does say she has 30 days to train and she said she will ride her bike 15 miles everyday she trains so she will have ridden her bike for 450 miles in total

30 days to train x 15 miles per day = 450 miles in total

The satellite should be insured for 98 months (rounded up to the nearest month) to be 96% confident that the microchip will last beyond the insurance date.

To answer this question, we need to find the number of months for which we can be 96% confident that the microchip will not malfunction. This means we want to find the value of x such that P(X > x) = 0.04, where X is the random variable representing the life expectancy of the microchip.

We know that X follows a normal distribution with mean μ = 92 months and standard deviation σ = 3.6 months. Therefore, we can standardize X to the standard normal distribution Z ~ N(0, 1) using the formula

Z = (X - μ) / σ

We can then rewrite the probability P(X > x) as

P(X > x) = P(Z > (x - μ) / σ)

1.75 = (x - 92) / 3.6

Solving for x, we get

x = 98 months

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The given question is incomplete, the complete question is:

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt.for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date?

T-procedures can be used with some skewness as long as there are several observations.

Because

T-procedures are statistical methods used to make inferences about population parameters, such as the mean, based on sample data. They involve using the t-distribution, which is a probability distribution that is similar to the normal distribution but has fatter tails, to calculate confidence intervals and perform hypothesis tests.

When using T-procedures, some skewness in the data can be accommodated as long as there are several observations, which allows for the central limit theorem to come into play. The central limit theorem states that the sample means will follow a normal distribution, even if the original population is not normally distributed, as long as the sample size is large enough. Thus, if there are enough observations, the skewness in the data may be less of an issue.

In addition to having several observations, having more than 5 degrees of freedom is also important for using T-procedures. Degrees of freedom refer to the number of independent pieces of information available in a sample. Having more than 5 degrees of freedom is important for ensuring that the t-distribution is a good approximation of the normal distribution.

Having known standard deviations can also make T-procedures more reliable, as it allows for more accurate calculations of the standard error of the mean. However, if the standard deviation is not known, it can be estimated from the sample data.

Outliers can also impact the validity of T-procedures, as they can greatly influence the mean and standard deviation. Therefore, it is important to identify and handle outliers appropriately before conducting T-procedures.

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If the original coordinate given was (x,y), then the new coordinate after the transformation would be (x+5, 2y).

The question is asking for the new coordinate of a point on the graph of the function f(x) after it undergoes a transformation given by g(x) = 2f(x-5). The transformation involves a horizontal shift of 5 units to the right, followed by a vertical stretch by a factor of 2.

Let's say the original coordinate for f(c) is (c, f(c)). To find the new coordinate, we need to apply the transformation to this point.

First, we shift the point 5 units to the right to get (c+5, f(c)). Then, we apply the vertical stretch by multiplying the y-coordinate by 2, giving us the final point (c+5, 2f(c)).

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Answer:

With x=8, it means the line is vertical (up and down), it also means it is undefined.

In order to find the parallel line, it has to have the same slope. Different b value (mx+b, but the m has to be the same).

Step-by-step explanation:

Answer:

its 15 i answered before anyone else but someguy had already answered but it didn't even say the answer

Step-by-step explanation:

Answer:

9/6=12/x-4

Step-by-step explanation:

Answer:

m∠C = 102°

Step-by-step explanation:

The above diagram is a cyclic quadrilateral

Step 1

First we find m∠B

The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Step 2

Since we have found m∠B

We can proceed to find the Angle outside to circle

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

Step 3

Find m∠DAB

m∠DAB = m∠DA + m∠AB

m∠DAB = 84° + 120°

m∠DAB = 204°

Step 4

Find m∠C

It you look at the cyclic quadrilateral properly,

m∠DAB is Opposite m∠C

Hence

m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

Therefore ,m∠C = 102°

Answer:

Numbers from greatest to least (greatest is further up and least is further down)

650.202

650.02

650.002

650

649.99

649.099

Step-by-step explanation:

I looked into the tens places and if they were the same i looked into the decimal points. then i compared from there

Answer: 11

Step-by-step explanation:

\(A-B=\{2\}\).

Since there is 1 element in this set, the answer is 1.

Information retrieval tools include database management systems, reporting tools, and search engine tools.

Search tools employ various algorithms and techniques to index and search through vast amounts of data. They create indexes or catalogs of the content, allowing users to search for specific keywords or criteria. These tools utilize techniques like keyword matching, relevance ranking, and advanced search operators to refine search results and provide relevant information to users.

Indexing tools, on the other hand, focus on creating structured representations of data for efficient retrieval. They organize and categorize data based on predefined criteria, such as document types, dates, or categories. These tools help users navigate and explore information repositories more easily.

Overall, search and indexing tools are essential components of information retrieval systems. They enhance the accessibility and usability of data by enabling users to locate, retrieve, and analyze information quickly and accurately.

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Answer:

v = 2u

Step-by-step explanation:

note that

2u = 2 (5, - 2 ) ← multiply each component by 2

    = (10, - 4) = v , then

v = 2u

Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

The midpoint between A and E is (0,1)

The coordinates of the cities are given as:

A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).

From the above, we have:

A = (-2,3)

E = (2,-1)

The midpoint between A and E is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

Midpoint = 1/2 * (-2 + 2, 3 - 1)

This gives

Midpoint = 1/2 * (0, 2)

Evaluate the product

Midpoint = (0, 1)

Hence, the midpoint between A and E is (0,1)

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Weight, w of Mark's sister is 34 pounds

What is given in the question?

Mark's weight = 74 lb.

Mark's sister's weight = w lb.

Since Mark and his sister together weigh 6 lb. more than thrice the weight of Mark's sister alone.

We can write: 74 + w = 6 + 3w

According to the given question:

To solve this equation for w, first add -w to both sides of the equation.

74 + w - w = 6 + 3w - w

74 = 6 + 2w

Now add -6 to both sides and simplify:

74 - 6 = 6 + 2w -6  

68 = 2w

Therefore, w= (68/2) = 34 lb

Let's verify the answer

Marks weight = 74 lb.

Marks's sister's weight = 34 lb

Sum of Mark and his sister's weight = 108

Three time Mark's sister's weight

= 3*34 = 102

Also 108 = 102+6 which is the statement of the problem.

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Step-by-step explanation:

4+5 (2x-3)-6x

9 (2x-3)-6x

18x-27-6x

12x-27

Answer:

\( \sf \: 4x - 11 \)

Step-by-step explanation:

Given expression,

→ 4 + 5(2x - 3) - 6x

Let's simplify the expression,

→ 4 + 5(2x - 3) - 6x

→ 4 + 10x - 15 - 6x

→ (10x - 6x) + (4 - 15)

→ (4x) + (-11)

→ 4x - 11

Hence, the answer is 4x - 11.

Step-by-step explanation:

Area of a square 1.1.1=

\( {l}^{2} = l \times l\)

Area of a rectangle 1.1.2=

\(l \times b\)

Area of a triangle 1.1.3=

\( \frac{1}{2} \times base \times height\)

Area of square ABCD

\( |ab| = 3cm\)

Area of a square =l×l

l=3cm

Area = 3×3=9cm2

Answer:

Step-by-step explanation:

A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 folding rods and 1 standard is $35. If 5 standard and 7 folding rods were manufactured, the cost would be $145. How much does it cost to manufacture each type of rod.

let S = standar rod

F= folding rod

2F + S =35

2F + S -2F =35 - 2F

or S = 35-2F

7F + 5S =145

7F + 5S -7F =145 -7F

or 5S =145-7F

Since S=35-2F

5S = 5X (35-2F)

5S = 175 -10F

which equals 145-7F

175-10F = 145-7F

175-10F +10F = 145 -7F + 10F

175 = 145 +3F

175 -145 =145 -145 + 3F

30 = 3F

F = 10

but S =35 - 2F

so S = 35 -2X10

S = 35-20 =15

check:

if F = 10 and S = 15

then 5S +7F should equal 145

5X15 + 7X10 = 75 + 10 =145

so F=10, S=15

Answer:

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

2) 7, 25, 7

3) 8.8, 24, 15.8

4) 5, 9, 3

Answer: $357

Step-by-step explanation: Please see images below!

The amount she have to spend to paint the wall is $357.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

We are given that;

The side of two hexagon is 2ft, painting measures 9*25ft.

Now,

In this case, s = 2 feet. Therefore, the area of one hexagonal window is:

Area = (3√3 × 2²)/2 Area = (12√3)/2 Area ≈ 10.39 square feet

Since there are two windows, we need to multiply this by 2 and subtract it from the total area of the wall:

225 - (2 × 10.39) ≈ 204.22 square feet

This is the area that needs to be painted. To find how much Deb will have to spend, we multiply this by $1.75 per square foot:

204.22 × $1.75 ≈ $357.39

Rounding this to the nearest dollar, we get:

$357

Therefore, by the area of painting the answer will be $357.

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Answer:Makes about four dozen cookies. Shortbreads by Liz Bottner Ingredients: 1 cup sugar 2 cups cornstarch 4 cups flour pinch salt 1 pound butter.

The confidence intervals created using the percentile method and the standard error method are not exactly the same for two reasons:

First, the two methods are based on different assumptions about the population distribution of the sample. Second, the percentile method and the standard error method use different formulas to compute the confidence intervals. The standard error method assumes that the population is normally distributed, while the percentile method does not make any assumptions about the distribution of the population. As a result, the percentile method is more robust than the standard error method because it is less sensitive to outliers and skewness in the data. The percentile method calculates the confidence interval using the lower and upper percentiles of the bootstrap distribution, while the standard error method calculates the confidence interval using the mean and standard error of the bootstrap distribution.

Since the mean and percentiles are different measures of central tendency, the confidence intervals will not be exactly the same.

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Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

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Answer:

multiply opposite side and the answer is ready now because check your soulation