560/80=56 tens / 8 tens =

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

\(3 (0)+8(0) = 0\)

2. (2,7)

\(3(2)+8(7)=62\)

3. (5,6)

\(3(5)+8(6)=63\)

4. (8,1)

\(3(8)+8(1)=42\)

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

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The correct option is B. 0.6. The probability of the union of events E and F, Pr[E ∪ F], is 0.6.

To find the probability of the union of events E and F, denoted by Pr[E ∪ F], we can use the inclusion-exclusion principle.

Pr[E ∪ F] = Pr[E] + Pr[F] - Pr[EF]

Given:

Pr[E] = 0.5

Pr[F] = 0.3

Pr[EF] = 0.2

Plugging in the values into the formula:

Pr[E ∪ F] = 0.5 + 0.3 - 0.2

Pr[E ∪ F] = 0.6

Therefore, the probability of the union of events E and F, Pr[E ∪ F], is 0.6.

The correct option is B. 0.6.

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Answer:

16.26 ...................

When we compare the p-value and the significance level is given \(\alpha=0.01\), we can see that \(p_v < \alpha\), so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.

Given:

Identify the null and alternative hypotheses.

We need to test a hypothesis to see if the true mean is less than 5.7 Mpa; the hypothesis system would be:

If the sample size is 30 and we don't know the population deviation, we should use a t-test to compare the actual mean to the reference value, and the statistic is given by:

The t-test: "Is one of the most common tests for determining whether the mean is (higher, lower, or not equal) to a specified value."

Determine the statistic

We can substitute the following information in formula (1):

P-value:

The first step is to compute the degrees of freedom, which in this case are:

Because this is a one-sided lower-tailed test, the p-value would be:

Therefore, when we compare the p-value and the significance level given \(\alpha=0.01\), we can see that \(p_v < \alpha\), so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.

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The complete question is given below:
When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive (called "Smartbond") has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. ( Trends in Biomaterials & Artificial Organs, Jan. 2003.) Tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x = 5.07 Mpa and a standard deviation of s = 0.46 Mpa, where Mpa = megapascal, a measure of force per unit area. Orthodontists want to know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the mean breaking strength of the composite adhesive. Conduct the appropriate analysis for the orthodontists. Use alpha= 0.01. What is the p-value?

Answer:

Andre

7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9

Step-by-step explanation:

5 p squared q + 7 p q squared minus 10.

5p²q + 7pq² - 10

7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9

7p²q + 7pq² - 1 - 2p²q - 9

5p²q + 7pq² - 10

Jill

5 p squared q + 2 p q squared minus 6 + 5 p q squared minus 3

5p²q + 2pq² - 6 + 5pq² - 3

5p²q + 7pq² - 9

Anuj

4 p squared q + 7 p q squared minus 7 + 2 p squared q minus 3

4p²q + 7pq² - 7 + 2p²q - 3

6p²q + 7pq² - 10

Marsha

5 p squared q + 5 p q squared minus 10 + 3 p q squared

5p²q + 5pq² - 10 + 3pq²

5p²q + 8pq² - 10

The correct answer is:

Andre

7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9

7p²q + 7pq² - 1 - 2p²q - 9

5p²q + 7pq² - 10

Answer:

Its andre, Plz give the other guys brainly

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

396÷ 9= 44

44×60= 2,640 > 2500

At the given rate, Ximena can type the 2,640 word essay in an hour.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Ximena is typing a 2500 word essay. In 9 minutes she types 396 words,

The typing per word.

396÷ 9 = 44

Therefore,

44 × 60 = 2,640

Which is greater than 2500

Hence Ximena can type the 2,640 word essay in an hour.

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Answer:

\(x = 15x\)

Step-by-step explanation:

\( \frac{5}{12} = \frac{x}{36} \)

\( \frac{5 \times 36}{12 } = x\)

\(5 \times 36 = 12x\)

\(180 = 12x\)

\(12x = 180\)

\(12x \div 12 = 180 \div 12\)

\(x = 180 \div 12\)

\(x = 15\)

The volume of the solid here which is enclosed by paraboloids is 81π.

Use cylindrical coordinates.

z = x² + y² ==> z = r²

z = 18 - (x² + y²) ==> z = 18 - r².

Curve of intersection:

r² = 18 - r² ==> r = 3, a circle.

So, the volume ∫∫∫ 1 dV equals

∫(θ = 0 to 2π) ∫(r = 0 to 3) ∫(z = r² to 18 - r²) 1 * (r dz dr dθ)

= 2π ∫(r = 0 to 3) rz {for z = r² to 18 - r²} dr

= 2π ∫(r = 0 to 3) r(18 - 2r²) dr

= π ∫(r = 0 to 3) (36r - 4r³) dr

= π(18r² - r⁴) {for r = 0 to 3}

= 81π.

The intersecting curves that are transversally intersecting make up an intersection curve in most cases, which means that the surface normals are never parallel at any common point. This limitation does not apply in situations when the surfaces touch or share surface elements. The intersections of two revolution cylinders form the bicylindrical curves.

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Answer:

Step-by-step explanation:

14. y = -2/3x + 10. This is parallel to 2x -3y because they have the same slope.

15. y = -1/2x and y = -1/2x + 2. These are perpendicular because the slope is the opposite reciprocal to the slope of y = 2x + 3, which is 2.
The slopes of the lines of the 2 equations are the same. Because of that, we can state that 2 lines that are perpendicular to the same line are parallel. This can be further supported by the Perpendicular Transversal Theorem, which says the same thing.

Hope this helps!

Answer:

192

Step-by-step explanation:

Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.

The formula is:

h = √(mn)

h = x = ?

m = 144

n = 400 - 144 = 256

Substitute

h = √(256*144)

h = √36,864

h = 192

Therefore, x = 192

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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The output of the function call doWork(30) is given as follows:

9.

The input of the function is given as follows:

n = 30.

Hence we apply the recursion as follows:

Now we apply the inverse procedure, as follows:

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The first three terms of the Maclaurin series for the function F(x) = ln((x + 3)(x + 3)) can be found using Taylor series expansion. The Maclaurin series represents the function as an infinite sum of terms centered around x = 0.

To find the Maclaurin series for the given function F(x) = ln((x + 3)(x + 3)), we can start by taking the natural logarithm of the function. Applying the logarithmic properties, we have ln((x + 3)(x + 3)) = 2ln(x + 3). Now, we can use the Maclaurin series expansion for ln(1 + x) = x - (x^2)/2 + (x^3)/3 - ..., where the series is valid for |x| < 1.

Taking x + 3 as our new variable, we can substitute u = x + 3 into the Maclaurin series for ln(1 + x). Thus, we get ln(x + 3) = ln(u) = (u - 3) - ((u - 3)^2)/2 + ((u - 3)^3)/3 - ... = (x + 3) - ((x + 3)^2)/2 + ((x + 3)^3)/3 - ...

To find the first three terms of the Maclaurin series, we expand the expression up to the third power of (x + 3) and simplify the terms. The first three terms are F(x) = (x + 3) - ((x + 3)^2)/2 + ((x + 3)^3)/3.

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No, ΔABC cannot be congruent to ΔADC by the Side-Side-Side (SSS) congruence criterion. The only way for the triangles to be congruent by SSS is if AB is congruent to DC. Therefore, the correct answer is "no, because AB is not congruent to AC."

The Side-Side-Side (SSS) congruence criterion states that if the three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. In this case, to determine if ΔABC is congruent to ΔADC by SSS, we need to compare the corresponding sides of the triangles.

The given choices suggest that AB is not congruent to AC, which violates the SSS criterion. For ΔABC and ΔADC to be congruent by SSS, all three sides of ΔABC would need to be congruent to the corresponding sides of ΔADC, which includes AB being congruent to DC. Since this condition is not met, we can conclude that ΔABC cannot be congruent to ΔADC by SSS.

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Answer:

C

Step-by-step explanation:

trust me on this one

It is given that P = principal, R = rate of interest and T = time

Formula to find compound interest is:

A = P(1 + R/100)^T

where A = amount received after n years

P = principal amount invested

R = rate of interest

T = time for which the amount is invested

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

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Answer:

Disagree

Step-by-step explanation:

10^0

According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.

Hence, I disagree.

Answer:

Step-by-step explanation: number 1 is x <-15 because first simplify both sides of equation -1/5 x > 3 then multiple both sides by 5/(-1) (5/-1) x (-1x5) > (5/-1) x (3) which x < -15

The correct words are number of defective items from the sample of 109 items chosen at random and correct symbol is X ~ B(109, 0.8).

Percent of defective rate in manufacturing machine = 80%

Random number of items chosen = 109

The correct wording for the random variable in this situation is,

The number of defective items in a sample of 109 items chosen at random from the manufacturing machine.

Number of defective items is successes.

A common symbol for the number of successes in a binomial distribution is X.

Use X to represent the random variable in this situation.

The notation for the binomial distribution is usually written as,

X ~ B(n, p)

where X is the random variable,

n is the sample size,

and p is the probability of success on each trial.

X ~ B(109, 0.8).

Therefore, the correcting wording is number of defective items in a sample of 109 items chosen at random and the correct symbol is equal to  X ~ B(109, 0.8).

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p-9/3 = 2

p-9 = 2×3

p-9 = 6

p = 6+9

... Hope this will help...

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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The function y=540(1.04)^x represents exponential growth. The rate of increase can be determined by finding the value of 1.04^x.

For example, if x=1, then the value of 1.04^1 is 1.04, which represents a 4% increase. If x=2, then the value of 1.04^2 is 1.0816, which represents an 8.16% increase. If x=3, then the value of 1.04^3 is 1.1265, which represents a 12.65% increase.

In general, as the value of x increases, the value of 1.04^x increases at a faster rate, resulting in an exponential growth curve. The percentage rate of increase is determined by the value of 1.04. In this case, the percentage rate of increase is 4% per unit increase in x.

The statement "When conducting a one sample hypothesis test of means or proportions, I am comparing the mean or proportion of a sample to a benchmark mean or proportion" is true.

When conducting a one sample hypothesis test, the goal is to determine whether the sample mean or proportion is significantly different from a known or hypothesized population mean or proportion. This known or hypothesized value serves as the benchmark for comparison, and the hypothesis test assesses the likelihood of obtaining the observed sample result under the assumption that the benchmark value is true.

The null hypothesis represents the assumption that there is no significant difference between the sample and the benchmark, and the alternative hypothesis represents the possibility that the sample result is statistically different from the benchmark. By comparing the sample to the benchmark, we can determine whether the sample provides evidence to reject or fail to reject the null hypothesis, and ultimately make inferences about the population based on the sample data.

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Answer:

A)

Step-by-step explanation:

Order the set first

27, 28, 35, 37, 43, 47

Median now is: 36 (which is the mean between 35 and 37, the two central numbers )

If you add A) 35,50 then you will still have to compute the mean between 35 and 37 in order to find the median, because you have:

27,28,35,35,37,43,47,50

Answer:

Option A

Step-by-step explanation:

Given set is first arranged in ascending order

So, { 27, 28, 35, 37, 43, 47}

The numbers of observations (n) = 6

Since n is an even no.

Median =

\( \frac{ { \frac{n}{2} }^{th} + { \: (\frac{n}{2} + 1)}^{th} observation}{2} \)

\( \frac{ {3}^{th} + {4}^{th} }{2} \)

\( = \frac{35 + 37}{2} = 36 \)

If we take the pair (35, 50)

and arrange them in the set

{ 27, 28, 35, 35,37, 43, 47,50}

No.s of observations = 8

So, Median=

\( \frac{ {4}^{th} + {5}^{th} }{2} \)

\( = \frac{35 + 37}{2} = 36\)

Answer: y = -4x + 3

Step-by-step explanation:

   First, we will write 8x+2y=14 in slope-intercept form.

8x+2y=14

2y = -8x + 14

y = -4x + 7

   Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.

y = -4x + b

(-5) = -4(2) + b

-5 = -8 + b

b = 3

   Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.

         y = -4x + 3

The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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Answer:

3

Step-by-step explanation:

123,456,789

give me brainliest

Answer:

3  

if you remove the other numbers it's

3,000,000                                                                                                                    

A cord of roughly 13.04 feet is demanded to support the 11 ft roof wall and anchor it 7 feet from the base of the roof.

We can use the Pythagorean theorem to break this problem.

Let the length of the cord be represented by the variable c. We know that the height of the roof wall is 11ft and the distance from the base of the roof to where the cord will be anchored is 7ft. We can use these values to form a right triangle, where the length of the cord is the hypotenuse

Using the Pythagorean theorem, we have

c^2 = 7^2 + 11^2

c^2 = 49 + 121

c^2 = 170

Taking the square root of both sides, we get

c = sqrt( 170)

c is roughly 13.04 feet.

thus, a cord of roughly 13.04 feet is demanded to support the 11- ft roof wall and anchor it 7 feet from the base of the roof.

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