Simplify completely:
(c^-6 d^4)^1/2

Answer:

24 ft

Step-by-step explanation:

16 cm to 32 ft

multiply by two , and change units to ft

12 cm to ft scale

multiply by 2 and change units to ft

You get

24 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Here's the solution,

the ratio of length and breadth of the house is :

=》16 : 12

=》4 : 3

so, let's take the actual breadth be ' x '

we know,

=》32 : x = 4 : 3

because it's the ratio of length and breadth of the house

so,

\( \dfrac{32}{x} = \dfrac{4}{3} \)

=》

\(x = 32 \times \dfrac{3}{4} \)

=》

\(x = 24\)

hence, the actual breadth of the house is 24 feet

There are infinitely many expressions equivalent to 11x + 10, including 22x + 20, 11(x+1)-1, -11(-x)-10, and 11(x+2)-12.

What is expression ?

In mathematics, an expression is a combination of numbers, symbols, and/or variables that are put together in a meaningful way, usually to represent a quantity or a mathematical relationship.

There are infinitely many expressions that are equivalent to 11x + 10, because you can add or subtract any expression to both sides of the equation to get a new equivalent expression. Here are some examples:

22x + 20: This is equivalent to 11x + 10 because if you distribute 11 to x and 10, you get 11x + 10.

11(x + 1) - 1: This is also equivalent to 11x + 10 because if you distribute 11 to x and 1, you get 11x + 11 - 1, which simplifies to 11x + 10.

-11(-x) - 10: This is equivalent to 11x + 10 because if you distribute -11 to -x, you get 11x + 10.

11(x + 2) - 12: This is also equivalent to 11x + 10 because if you distribute 11 to x and 2, you get 11x + 22 - 12, which simplifies to 11x + 10.

In general, any expression of the form 11x + k, where k is a constant, is equivalent to 11x + 10.

Therefore, there are infinitely many expressions equivalent to 11x + 10, including 22x + 20, 11(x+1)-1, -11(-x)-10, and 11(x+2)-12.

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The algebraic expression -26² - 5b + 12 simplifies to 688 - 5b.

To simplify the algebraic expression -26² - 5b + 12, we can follow the order of operations, which states that we need to perform any calculations inside parentheses first, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Let's break down the expression step by step:

-26²: This means -26 squared. Squaring a number means multiplying it by itself. So, -26² is equal to (-26) × (-26), which simplifies to 676.

Now we have 676 - 5b + 12.

Next, we combine like terms. The terms -5b and 12 are constants, so we can add them directly. We get:

676 - 5b + 12 = 688 - 5b.

Therefore, the simplified expression is 688 - 5b. This is the final answer.

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Answer:

28.56

Step-by-step explanation:

First we need to calculate the mean average of the numbers

Average = 112+89+95+77+103/5

Average = 476/5

Average = 95.2

If Sam made 30% of goals in his last 6 games, then on average, amount made is expressed as;

Average of the last six games = 30% of 95.3

Average of the last six games  = 0.3 * 95.2

Average of the last six games = 28.56

Hence the required point average is 28.56

If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, then 144 different outfits Ayden can make.

In the given question we have to find how many different outfits can ayden make.

Ayden has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes.

We have to choose outfit for interview consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes.

We have to choose 1 shirt and he has 6 shirts. So he can choose different shirts in 6 ways.

Similarly;

We have to choose 1 pair of pants and he has 4 pair of pants. So he can choose different pair of pants in 4 ways.

We have to choose 1 tie and he has 3 ties. So he can choose different ties in 3 ways.

We have to choose one pair of shoes and he has 2 pair of shoes. So he can choose different pair of shoes in 2 ways.

So the total different outfits that he select = 6*4*3*2 = 144

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Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.

The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.

The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.

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Sampling bias, also known as sample selection bias, refers to flaws in research studies that arise when researchers do not appropriately select their subjects.

When a sample is collected in such a way that some members of the intended population have a significantly lower or higher sampling risk than others, sampling bias is reduced.

It yields a skewed sample of a population (or non-human variables) in which not all individuals, but rather cases, were picked in the same way. If this is not considered, the outcomes may be incorrectly attributed to the study problem rather than the sample method.

Sampling bias is often classified as a subset of selection bias, also known as sample selection bias, but some believe it to be a separate type of bias.

The difference between sampling bias and selection bias, though not frequently recognized, is that sampling bias reduces a test's external validity, whereas selection bias only addresses the internal validity of differences or similarities detected in the sample at hand.

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Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2

PreAlg students spend significantly less time doing homework compared to ElemAlg and InterAlg students, while there is no significant difference in homework time between ElemAlg and InterAlg students.

What is significantly ?

Significantly" is the keyword that indicates a notable or meaningful difference or result in the context of statistical analysis. It is often used to describe findings that have a high level of confidence and statistical significance, indicating that the observed difference or relationship is unlikely to have occurred by chance.

Based on the given data and statistical analysis, the conclusion is as follows:

PreAlg compared to ElemAlg:

The sample mean for PreAlg (1.32) is significantly different from the sample mean for ElemAlg (3.18) with a t-value of 5.08 and a p-value of 0.000. Therefore, we can conclude that PreAlg students spend significantly less time doing homework compared to ElemAlg students.

PreAlg compared to InterAlg:

The sample mean for PreAlg (1.32) is significantly different from the sample mean for InterAlg (4.42) with a t-value of 3.64 and a p-value of 0.003. Hence, we can conclude that PreAlg students spend significantly less time doing homework compared to InterAlg students.

ElemAlg compared to InterAlg:

The sample mean for ElemAlg (3.18) is not significantly different from the sample mean for InterAlg (4.42) with a t-value of 1.49 and a p-value of 0.163. Therefore, we fail to reject the null hypothesis, and we cannot conclude a significant difference in homework time between ElemAlg and InterAlg students.

In summary, the PreAlg students have significantly lower homework time compared to both ElemAlg and InterAlg students. However, there is no significant difference in homework time between ElemAlg and InterAlg students.

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Answer:

i hope this helps you

7.4+(-2)

28-2

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.

Answer:x = 1/60

Step-by-step explanation:

(8^x/4+4)=(8^-19x/4)

Apply fraction cross multiply: a/b = c/d  then a*d = c*b

8^x * 4 = (4+4) * 8^-19x

simplify

8^x * 4 = 8 * 8^-19x

Apply exponet rules

xln(8) + ln(4) = (-19x +1) ln(8)

then just solve

x= 1/60

while y = -1/8

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

Answer:

4s+14t

Step-by-step explanation:

2*[(s+5t)+(s+2t)]

=2*(2s+7t)

=4s+14t

Answer:

Step-by-step explanation:

Remark

The Perimeter of a rectangle is found using

P = 2L + 2w

Givens

L = s+2t

w = s + 5t

Solution

P = 2(s + 2t) + 2(s + t5)                     Remove the brackets

P = 2s + 4t + 2s + 10t                       Combine

P = 4s + 14t

Answer P = 4s + 14t                         This cannot be reduced any further.

Answer:

13) 60

Step-by-step explanation:

13)

7*9 - 8 + 11 - 6               (Multiply 1st)

63 - 8 + 11 - 6                (Solve from left to right since it's addition/subtraction)

60

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

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Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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Answer: 2:3

Step-by-step explanation:

First list out the factors for 32 and 48

32- 1, 2, 4, 8, 16, 32

48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.

32/16=2

48/16=3

The simplest form is 2:3

Hence, the answers are:a. Sensitivity of the test is 12.37%.b. Specificity of the test is 97.18%.c. False-positive fraction of the test is 2.86%.d. False-negative fraction of the test is 87.63%.

Sensitivity of a screening testSensitivity of the screening test is the probability of obtaining a positive screening test result among people with the disease. It is calculated as follows:Sensitivity = True positive / (True positive + False negative)From the given table,True positive = 12False negative = 85Total number of people with the disease = True positive + False negative = 12 + 85 = 97Sensitivity = 12 / (12 + 85) = 0.1237 = 12.37%Therefore, the sensitivity of the test is 12.37%.Specificity of a screening testSpecificity of the screening test is the probability of obtaining a negative screening test result among people who do not have the disease. It is calculated as follows:Specificity = True negative / (True negative + False positive)From the given table,True negative = 204False positive = 6Total number of people without the disease = True negative + False positive = 204 + 6 = 210Specificity = 204 / (204 + 6) = 0.9718 = 97.18%Therefore, the specificity of the test is 97.18%.False-positive fractionFalse-positive fraction is the proportion of healthy people who get a positive result out of the total number of healthy people. It is calculated as follows:False-positive fraction = False positive / (False positive + True negative)From the given table,False positive = 6True negative = 204False-positive fraction = 6 / (6 + 204) = 0.0286 = 2.86%Therefore, the false-positive fraction of the test is 2.86%.False-negative fractionFalse-negative fraction is the proportion of sick people who get a negative result out of the total number of sick people. It is calculated as follows:False-negative fraction = False negative / (False negative + True positive)From the given table,False negative = 85True positive = 12False-negative fraction = 85 / (85 + 12) = 0.8763 = 87.63%Therefore, the false-negative fraction of the test is 87.63%.Hence, the answers are:a. Sensitivity of the test is 12.37%.b. Specificity of the test is 97.18%.c. False-positive fraction of the test is 2.86%.d. False-negative fraction of the test is 87.63%.

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By using the property of function, the result obtained is, When f(94) is divided by 1000, the remainder is 561

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the functional equation is given by

\(f(x) + f(x - 1) = x^2\)

Now,

\(f(x) + f(x - 1) = x^2\)

\(f(x) = x^2 - f(x - 1)\\f(94) = 94^2 - f(93) = 94^2 - 93^2 + f(92) =\\94^2 - 93^2 + 92^2 - f(91) = 94^2 - 93^2 + 92^2 -91^2+f(90)\)

\(94 + 93 + 92 + 91 + ..... +20^2 - f(19)\)

\(94 + 93 + 92 + ..... + 21 + 400 - 94\) [Since \(94 - 93 = 93 - 92 = .... = 1\)]

\(\frac{74}{2}(21 + 94) + 400 -94\)

\(37 \times 115 + 400 - 94\\4255 + 400 - 94\\4561\)

So f(94) = 4561

When 4561 is divided by 1000, the remainder is 561

So, when f(94) is divided by 1000, the remainder is 561

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Complete Question

The function f has the property that, for each real number x

\(f(x)+f(x-1) = x^2\)

If f(19)=94 what is the remainder when f(94) is divided by 1000?

(1) The family has bought 6 tickets.

(2) The teacher has bought 28 tickets.

What is an expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

(1) To solve this problem, we need to set up the equation: cost = price * number of tickets. We are given the cost ($62.50) and the price ($10), and we want to solve for the number of tickets. Substituting these values into the equation and solving for the number of tickets gives:

number of tickets = cost / price

number of tickets = $62.50 / $10

number of tickets = 6.25

Since the number of tickets must be a whole number, the family bought 6 tickets.

(2) To solve this problem, we can use the same equation as before: cost = price * number of tickets. We are given the cost ($278.50) and the price ($10), and we want to solve for the number of tickets. Substituting these values into the equation and solving for the number of tickets gives:

number of tickets = cost / price

number of tickets = $278.50 / $10

number of tickets = 27.85

Since the number of tickets must be a whole number, the teacher bought 28 tickets.

Hence,

(1) The family has bought 6 tickets.

(2) The teacher has bought 28 tickets.

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The expected value or mean μ of the random number generator is 5.

To find μ, the expected value or mean of the random number generator that picks a number uniformly from one to nine, we can use the formula for the mean of a discrete uniform distribution.

In a discrete uniform distribution, all outcomes have equal probabilities. Since the random number generator picks a number from one to nine uniformly, each number has a probability of 1/9.

The formula for the mean of a discrete uniform distribution is:

μ = (a + b) / 2

where a is the minimum value and b is the maximum value of the distribution.

In this case, a = 1 and b = 9. Substituting these values into the formula, we have:

μ = (1 + 9) / 2

= 10 / 2

= 5.

Therefore, the expected value or mean μ of the random number generator is 5.

Question: A random number generator picks a number from one to nine in a uniform manner. Then find the mean (\(\mu\)).

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Answer:

its 64cm

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

The value of z is a complex number with both a real and imaginary part. Letter B represents this.

To find the value of z, we can start by expressing the given equation in polar form.

Let's first find the modulus of z, denoted by |z|:

|z³| = |3 + i√3|

Using the modulus property of complex numbers, we can simplify this to:

|z|³ = √(3² + (√3)²)

|z|³ = √12

|z|³ = 2√3

Taking the cube root of both sides, we get:

|z| = ∛(2√3)

Now, let's find the argument of z, denoted by arg(z):

z³ = 3 + i√3

We can rewrite the right-hand side in polar form:

3 + i√3 = 2(cosπ/6 + isinπ/6)

Therefore,

z³ = 2(cosπ/6 + isinπ/6)

Using De Moivre's theorem, we can take the cube root of both sides:

z = 2^(1/3) [cos(π/18 + 2πn/3) + isin(π/18 + 2πn/3)], where n = 0, 1, or 2.

Therefore, the three possible values of z are:

z₁ = 2^(1/3) [cos(π/18) + isin(π/18)]

z₂ = 2^(1/3) [cos(11π/18) + isin(11π/18)]

z₃ = 2^(1/3) [cos(19π/18) + isin(19π/18)]

The value of z depends on which of the three possible values we choose.

So, in general, the value of z is a complex number with both a real and imaginary part. Letter B represents this.

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Answer: I believe the answer is A

Happy homeworking y'all :]

Answer:

B

Step-by-step explanation:

Formula

SA = 2*L*W + 2*L*H + 2*H*W

Givens

L = 14

W = 7

H = 7

Solution

SA = 2*14*7 + 2*14*7 + 2*7*7

SA = 196 + 196 + 98

SA = 490

Answer:

y = 4x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 2, then

y = 4x + 2 ← equation of line

If "water-sprinkler" sends out water 21 feet in any direction in circular pattern, then the area formed by water pattern is 1384.74 feet².

If the sprinkler can spray water out 21 feet in any direction, then the radius of the circular pattern formed by the water is 21 feet.

The formula for area of circular pattern is : A = πr², where 'r" is = radius of the circle.

Substituting the radius of circular pattern as 21 feet,

We get,

⇒A = πr² = 3.14 × 21 × 21 = 1384.74 ft².

Therefore, the area formed by the water pattern is 1384.74 square feet.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation: