on the basis of your answer to (c), do you think that it is possible to construct a images matrix with linearly independent columns? how about a images matrix with linearly independent rows?

Answer:

she bought 4 braclets

Step-by-step explanation:

if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets

i do hope this helps even tho my explanation isn't exactly the best

Answer:

67/24

Step-by-step explanation:

Simplify the numerical expression.

2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3

2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3

(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]

= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]

=( 2/3 × 1/16 ) + [ 11/12 × 3]

= 1/24 + 11/4

= 67/24

All equations that represent lines perpendicular to line m include the following:

B. y = -2/3x +4

E. y + 1 = -4/6(x +5)

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

y + 2 = 3/2(x + 4)

y = 3/2(x) + 6 - 2

y = 3/2(x) + 4

slope (m) of line m = 3/2

In Mathematics and Geometry, a condition that must be true for two lines to be perpendicular include the following:

m₁ × m₂ = -1

3/2 × m₂ = -1

3m₂ = -2

Slope, m₂ of perpendicular line = -2/3

Therefore, the required equations are;

y = -2/3x +4

y + 1 = -4/6(x +5)

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Answer:

can you please give a correct question next time or please make the question clear for the answerer.

thank you

Answer:

Yes.

Step-by-step explanation:

Minus and difference mean the same thing. To find the difference, you subtract or minus, so they are the same thing.

Answer:

D. +3.82

Step-by-step explanation:

The computation of the test static for this test is shown below:

Data provided in the question

\(\bar x\)= $8,745

\(\mu\) = $8,500

\(\sigma\) = $1,200 and n = 350

Now based on the above information, the test static for this test is

\(z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } }\)

\(z = \frac{\$8,745 - \$8,500}{\frac{\$1,200}{\sqrt{350} } } \\\)

= 3.82

= +3.82

Hence, the test static for this test is +3.82

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

The weight of the airplane is 2397 pounds if it is carrying 54 gallons of fuel given that when carrying 16 gallons of fuel, the airplane weighs 2188 pounds and when carrying 48 gallons of fuel, it weighs 2364 pounds. This can be obtained by forming the equation for the linear function.

Here in the question it is given that,

Let the fuel be represented along x - axis and weight of plane along y - axis

two coordinates are (16, 2188) and (48, 2364)

now, equation of linear function is

\(y-y_{1} =\frac{y_{2} -y_{1} }{x_{2}- x_{1} } (x-x_{1} )\)

x₁ = 16, x₂ = 48 and y₁ = 2188, y₂ = 2364

\(y-2188 =\frac{2364 -2188}{48- 16} (x-16)\)

\(y-2188 =\frac{176}{32} (x-16)\)    

\(y-2188 =5.5 (x-16)\)

y = 5.5x - 88 + 2188

y = 5.5x + 2100

if the airplane is carrying 54 gallons of fuel, that is x = 54,

by putting x = 54 in the equation we can find the weight of the plane

y = 5.5(54) + 2100

y = 297 + 2100

y = 2397

Hence the weight of the airplane is 2397 pounds if it is carrying 54 gallons of fuel given that when carrying 16 gallons of fuel, the airplane weighs 2188 pounds and when carrying 48 gallons of fuel, it weighs 2364 pounds.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 16 gallons of fuel, the airplane weighs 2188 pounds. When carrying 48 gallons of fuel, it weighs 2364 pounds. How much does the airplane weigh if it is carrying 54 gallons of fuel?

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Answer:

turn it into a decimal first

Step-by-step explanation:

Answer:

3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60

Answer:

socjjwpfhaoduen egg prhnfjwof

Answer:

see explanation

Step-by-step explanation:

Each square on the grid is \(\frac{1}{2}\) unit , then

coordinates of P are (2 \(\frac{1}{2}\), 0 )

coordinates of T are ( - 1 \(\frac{1}{2}\), - 1 )

Point R is located at ( \(\frac{1}{2}\), - 2 \(\frac{1}{2}\) )

Answer:

Divide the numerator by the denominator

Step-by-step explanation:

Brainliest plss

Answer: A

Step-by-step explanation: Example 11/2 divide 11 by 2 and you get the whole number of 5 since 5 times 2 is 10 and leftover 1/2 so that’s 5 and 1/2.

The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8 is approximately 1483.6 cubic units.

To find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8, we can use the method of cylindrical shells.

To find the volume of the solid, we need to integrate the area of each cylindrical shell over the height of the solid. Let r be the radius of a cylindrical shell at height y, and let h be the thickness of the shell. Then the volume of the shell is given by:

dV = 2πrh × h

where the factor of 2 comes from the fact that there are two cylindrical shells (one on either side of the line x = 8).

We can express r and h in terms of y:

r = 8 - y

h = e^8 - e^-x

Substituting these expressions into the formula for dV and integrating from y = 0 to y = 1, we get,

V = ∫(0 to 1) 2π(8 - y)(e^8 - e^-x) dy

= 2π ∫(0 to 1) (8e^8 - 8e^-x - ye^8 + ye^-x) dy

= 2π [8e^8 - 8e^-1 - (1/2)e^8 + (1/2)e^-1]

= 2π [15e^8 - 4e^-1]

≈ 1483.6 cubic units

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The given question is incomplete, the complete question is:

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8.

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

19

Step-by-step explanation:

multiply then add

Answer:

x=69

Step-by-step explanation:

when you add the side lengths you have, you will get 21. since this is a right triangle, yoy subtract by 90. so 90-21 = 69

The value of Erica's investment after 6 years is approximately $4,939.05.

To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:

A = P\((1 + r/n)^(nt)\)

Where:

A is the final amount or value of the investment.

P is the initial principal or investment amount.

r is the annual interest rate (as a decimal).

n is the number of times the interest is compounded per year.

t is the number of years.

In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:

P = $4000

r = 0.04

n = 1 (since the interest is compounded annually)

t = 6 years

Plugging these values into the compound interest formula, we can calculate the final value of the investment:

A = $4000(1 + \(0.04/1)^(1*6)\)

A = $4000(1 + 0.04)^6

A = $4000(1.04)^6

Evaluating this expression, we find:

A ≈ $4,939.05

Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.

This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.

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Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

A triangle contains three vertices, three sides, and three altitudes. The location where these three sides intersect is known as the orthocenter.

Every triangle has a different position for the orthocenter; for example, an equilateral triangle has the same orthocenter, circumcenter, incenter, and centroid, but other triangles will have a different position.

At Point M is at (1, 3) : The orthocenter is located inside an acute-angled triangle in this scenario.

At Point R is at (3, 9) : The orthocenter is located outside the triangle in the case of an obtuse-angled triangle.

At Point E is at (10, 2) : The orthocenter of a right-angled triangle is located at the right angle's apex.

A triangle is a basic three-sided polygon with three vertices. The "orthocenter of a triangle" is the intersection of a triangle's three altitudes, and it is typically depicted by the letter "H." A line segment drawn perpendicularly from each vertex to the opposite side of a triangle's opposing side is the triangle's height.

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The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

\(-\frac{45}{16}\)

Step-by-step explanation:

\(g(x)=\frac{x^{2} -7x+1}{4}\)

Take the derivate of g:

\(g'(x)=\frac{x-7}{4}\)

Find x that:

g'(x)=0

\(\frac{2x-7}{4}=0\\x=\frac{7}{2}\)

This x give the least possible value that are g(7/2):

\(g(\frac{7}{2}) =-\frac{45}{16}\)

Step-by-step explanation:

answer is in the picture

Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.

To determine the correct sine ratios for ΔPQR, let's recall the definitions of sine for each angle in a right-angled triangle.

In a right-angled triangle ΔPQR:

1. sin(P) = opposite side / hypotenuse = r / q (Correct) [By definition of sine in a right triangle, sin(P) = opposite/hypotenuse]

2. sin(Q) = opposite side / hypotenuse = r / p (Correct) [By definition of sine in a right triangle, sin(Q) = opposite/hypotenuse]

3. sin(R) = opposite side / hypotenuse = q / r (Correct) [By definition of sine in a right triangle, sin(R) = opposite/hypotenuse]

Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.

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Answer:

How do you determine the equation of a horizontal line that passes through each given point 4 7?

the equation of the horizontal line passing through (4,7) is y=7 . Note − The equation of a vertical line is always of the type x=k and hence the equation of the vertical line passing through (4,7) is x=4 .

Using the sample space, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

In the given question we have to find the probability of rolling an even number with a six-sided dice.

The sample space of dice through the experiment is

{1,2,3,4,5,6}

The even numbers is {2,4,6}.

The probability of rolling an even number with a six-sided dice is

P(E)=Total number of even outcome/Total number of outcome

P(E)=3/6

P(E)=1/2

Hence, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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The difference of two Fractions can also be  a fraction,the result is always a rational number.

(a) The sum of two rational numbers is always true. When we add two rational numbers, the result is also a rational number. This is because rational numbers can be expressed as the ratio of two integers, and the sum of two fractions can be written as a fraction as well.

(b) The product of a rational number and an irrational number is sometimes true. The product of a rational number and an irrational number can result in either a rational or an irrational number, depending on the specific numbers involved. For example, if we multiply the rational number 2/3 by the irrational number √2, the result is (√2 * 2)/3 = (2√2)/3, which is an irrational number. However, if we multiply the rational number 1/2 by the irrational number √4, the result is (√4 * 1)/2 = 2/2 = 1, which is a rational number.

(c) The product of two rational numbers is always true. When we multiply two rational numbers, the result is always a rational number. This is because the product of two fractions can be written as a fraction as well.

(d) The difference between two rational numbers is always true. When we subtract one rational number from another, the result is always a rational number. This is because the difference of two fractions can also be expressed as a fraction.

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Answer:

x = 15/2

Step-by-step explanation:

Solve for x:

x - 5 = 2 + 1/2

Hint: | Put the fractions in 2 + 1/2 over a common denominator.

Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:

x - 5 = (2×2)/2 + 1/2

Hint: | Multiply 2 and 2 together.

2×2 = 4:

x - 5 = 4/2 + 1/2

Hint: | Add the fractions over a common denominator to a single fraction.

4/2 + 1/2 = (4 + 1)/2:

x - 5 = (4 + 1)/2

Hint: | Evaluate 4 + 1.

4 + 1 = 5:

x - 5 = 5/2

Hint: | Isolate terms with x to the left hand side.

Add 5 to both sides:

x + (5 - 5) = 5/2 + 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 5/2 + 5

Hint: | Put the fractions in 5/2 + 5 over a common denominator.

Put 5/2 + 5 over the common denominator 2. 5/2 + 5 = 5/2 + (2×5)/2:

x = 5/2 + (2×5)/2

Hint: | Multiply 2 and 5 together.

2×5 = 10:

x = 5/2 + 10/2

Hint: | Add the fractions over a common denominator to a single fraction.

5/2 + 10/2 = (5 + 10)/2:

x = (5 + 10)/2

Hint: | Evaluate 5 + 10.

5 + 10 = 15:

Answer: x = 15/2

Answer:

7 1/2

Step-by-step explanation:

Hello!

To solve this we have to get x by itself

What we do to one side of the equation we have to do to the other

-5 + x = 2 1/2

To get -5 to the other side we have to add 5 to make it zero

What we do to the left side we have to do to the right

-5 + 5 + x = 2 1/2 + 5

Simplify

0 + x = 7 1/2

We can drop the 0

x = 7 1/2

The answer is 7 1/2

Hope this helps!

Since both have a ratio of 8 feet to one second, we draw the conclusion that the situation may be described using a proportionate relationship.

Keep in mind that the formula for a proportionate connection between two variables is:

y = k*x

where k is the proportionality constant.

If we get the same proportionality constant for the two supplied pairs of variables, then the presented scenario is proportional. Let's define x as the time and y as the distance.

After the first pair has traveled 24 feet in 3 seconds:

24 feet = k*3s

K = 8 ft/s for (24 ft/3s)

After the second pair moves 40 feet in 5 seconds:

40ft = k*5s

K = 40ft/5s 8ft/s

Then, because both have a ratio of 8 feet to one second, we draw the conclusion that the situation may be described using a proportionate relationship.

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Yes there can be rectangular prism with the surface area of 120.

A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.

We have to find the dimension for rectangular prism whose Surface area 120.

let the length be x cm, width be y cm and height be z cm

So, the Surface Area

= 2( lw + wh + lh)

= 2(xy + yz + zx)

120=2( xy + yz + zx)

60 = xy + yz + zx

Now, we have to choose dimension such that they satisfy 60 = xy + yz + zx.

Yes this is possible to have a rectangular prism.

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All the solutions of the logarithmic function,

a. log₃(27) = 3 because 3³ = 27.

b.  log₂(2,048) = 11 because 2¹¹ = 2,048.

c. log₃(1/81) = -4 because 3⁻⁴ = 1/81.

d.  log₂(1) = 0 because 2⁰ = 1.

e.  log₁₀(1/10) = -1 because 10⁻¹ = 1/10.

f. log₆(6) = 1 because 6¹ = 6.

g. log₃(3k) = 1 + log₃k

(a) The expression is log₃ (27),

Now, the exponent to which 3 must be raised to obtain 27.

Since 3³ = 27

log₃ (27) = log₃ (3³)

              = 3 log₃3

              = 3

log₃(27) = 3 because 3³ = 27.

(b) Similarly, to find log_2(2,048), we need to determine the exponent to which 2 must be raised to obtain 2,048.

Since 2¹¹ = 2,048

Here, we have;

log₂(2,048) = log₂ (2¹¹)

                   = 11 log₂ (2)

                   = 11

log₂(2,048) = 11 because 2¹¹ = 2,048.

(c) For log₃(1/81), we need to determine the exponent to which 3 must be raised to obtain 1/81.

Since 3⁻⁴ = 1/81

So, we have

log₃(1/81) = -4 because 3⁻⁴ = 1/81.

(d) In the case of log₂(1), we need to determine the exponent to which 2 must be raised to obtain 1.

Since any number raised to the power of 0 equals 1, we have;

log₂(1) = 0 because 2⁰ = 1.

(e) For log₁₀(1/10), we need to determine the exponent to which 10 must be raised to obtain 1/10.

Since 10⁻¹ = 1/10

Hence, we have;

log₁₀(1/10) = -1 because 10⁻¹ = 1/10.

(f) When calculating log₆(6), we need to determine the exponent to which 6 must be raised to obtain 6.

Since any number raised to the power of 1 is equal to itself, we have

log₆(6) = 1 because 6¹ = 6.

(g) Lastly, for log₃(3k)

log₃(3k) = log₃3 + log₃k

             = 1 + log₃k

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The logarithm method is used to determine the number of times to multiply the base number to obtain another number. The given expressions convert into respective powers of the base to give the final exact values. The values obtained depict the fundamental property of logarithms.

The logarithm function is a method of determining how many times one number must be multiplied by itself to reach another number. It is usually denoted as logb(x), where 'b' is the base, 'x' is the result of the multiplication, and the result of the log function is the number of times we need to multiply.

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To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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