If a measurement were given, could you know if it represented a perimeter, an area, or a volume?

To perform the operation (DE)F, we need to multiply matrices D and E first, and then multiply the resulting matrix by matrix F.

Matrix multiplication is defined when the number of columns in the first matrix matches the number of rows in the second matrix. Let's assume that D is a matrix of size m x n, E is a matrix of size n x p, and F is a matrix of size p x q. The resulting matrix (DE) will have a size of m x p. If p and q are not equal, the operation is undefined.

In matrix multiplication, each element of the resulting matrix is computed by taking the dot product of a row from the first matrix and a column from the second matrix. The dot product is obtained by multiplying corresponding elements and summing them up. To perform (DE)F, we first multiply matrices D and E. If the dimensions allow, let's say the resulting matrix is G with dimensions m x p. Then, we multiply G by matrix F.

Let's say D is a 3x2 matrix, E is a 2x4 matrix, and F is a 4x3 matrix. The product of D and E is matrix G, with dimensions 3x4. If matrix F is a 4x3 matrix, then the operation (DE)F is defined. To compute (DE)F, we multiply G and F. If the dimensions are valid, the resulting matrix will have dimensions 3x3. Each element in the resulting matrix is obtained by taking the dot product of a row from G and a column from F.

If the dimensions allow, we can perform the operation (DE)F by first multiplying matrices D and E to obtain matrix G, and then multiplying G by matrix F to get the final result.

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Answer:

14/9 or 1 5/9

Step-by-step explanation:

Answer:

1 \(\frac{5}{9}\)

Step-by-step explanation:

We require 2 equations with the repeating digit placed after the decimal point

let x = 1.555... (2) Multiply both sides by 10

10x = 15.555.... (2)

Subtract (1) from (2) thus eliminating the repeating digits

9x = 14 ( divide both sides by 9 )

x = \(\frac{14}{9}\) = 1 \(\frac{5}{9}\)

the height of the mast is approximately 51.5 meters.

what is approximately ?

"Approximately" means that the value is an estimate that is very close to the true value but may not be exact. In the context of the answer I provided, "approximately" indicates that the height of the mast is very close to 51.5 meters but may be slightly more or less than that value.

In the given question,

Let's call the height of the mast "h". We can use trigonometry to find the value of "h".

If we draw a diagram, we can see that the angle of elevation of the mast is the same as the angle between the ground and a line from P to the top of the mast. We can call this angle "θ".

We know that tan(θ) = opposite/adjacent = h/150.

We also know that tan(19°) = 0.3431 (rounded to 4 decimal places).

So we can set up an equation:

0.3431 = h/150

To solve for "h", we can multiply both sides by 150:

h = 0.3431 x 150

h = 51.465 (rounded to 3 significant figures)

Therefore, the height of the mast is approximately 51.5 meters.

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Answer:

\(v = \frac{28m}{5}\)

Step-by-step explanation:

The meaning behind the constant of k = 28/5 is that it says that 1 gram of helium takes up 28/5 = 5.6 liters of space, and each time you increase the mass by 1 gram, the space increases by 5.6 also

3 more points:

- V1 = 28/5 * 10 = 56 liters

- v2 = 28/5 * 15 = 84

- V3 = 28/5 * 20 = 112

Answer:  A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.

Step-by-step explanation:

Multiply the dimensions given, then select the one that matches Jorge's required 42 in³

5×5×5 = 125

5×4×4 = 80

2×7×3 = 42

6×3×2 = 36

Answer:

A

Step-by-step explanation:

Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Answer: 59.5

Step-by-step explanation:

took the test

Answer: 18

Step-by-step explanation:

54 - 12 = 42 (dads age 12 years ago) 42 / 7 = 6 (divided by 7 because he was 7 times as old as him 6 + 12 (the age the son was 12 years ago plus the years that have passed since then)

Answer:

I think you're missing something, I not sure how to help you without a picture or some description.

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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We start by finding the cumulative distribution function (CDF) of Y:

F_Y(y) = P(Y <= y) = P(2e^X <= y) = P(X <= ln(y/2))

Using the CDF of X, we have:

F_X(x) = P(X <= x) = 1 - e^(-λx) = 1 - e^(-9x)

Therefore,

F_Y(y) = P(X <= ln(y/2)) = 1 - e^(-9 ln(y/2)) = 1 - e^(ln(y^(-9)/512)) = 1 - y^(-9)/512

Taking the derivative of F_Y(y) with respect to y, we obtain the probability density function (PDF) of Y:

f_Y(y) = d/dy F_Y(y) = 9 y^(-10)/512

for y >= 2e^0 = 2.

Therefore, the probability density function of Y is:

f_Y(y) = { 0 for y < 2,

9 y^(-10)/512 for y >= 2. }

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The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:

11) D. 144 b/m

12) B. As exercise levels increase, heart rate increases

13) D. Transporting wastes away from cells

14) B. Capillaries

15) This is because during excercise you increase the skin blood flow in order to enable ¨heat dissipation¨. Then after the increase in blood flow to the muscles decides to have an increase which causes it to have a cardiac output which is in direct proportion to the increase in oxygen consumption.

Step-by-step explanation:

Considering the Graph and reading the distance blocks from the store to the bank we see a progression of 3blocks

This is further explained below.

Generally, There is a concept referred to as distance that may be used to quantify, either quantitatively or qualitatively, the distance that separates two items or sites.

When speaking about physics or using the phrase in everyday language, "distance" may either refer to a literal measurement or an estimate based on a number of other parameters.

Both meanings are appropriate when discussing or using the term.

The progression of existence and events that occur in what seems to be an unstoppable order beginning in the past, continuing through the present, and moving into the future is what we refer to as time.

Time may be broken down into three distinct parts: the past, the present, and the future.

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The minimum sample size of the given condition is 89.

In given condition,

For 95% confidence level, critical value of z is z* = 1.96

The margin of error given is E = 1

Standard deviation ( α ) = 4.8

Final required sample size is;

n = \((\frac{z*\alpha }{E} )^{2}\)

  = \((\frac{1.96 * 4.8}{1} )^2\)

  = 88.51

n  ≅ 89

The minimum sample size of the given condition is 89.

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Answer:

$58438

Step-by-step explanation:

36500×\(1.04^{12}\) = 58437.67598

nearest whole number = $58438

Answer:

548442

Step-by-step explanation:

a1 = 36500

a2 = 36500(1+0.04) = 37960

a3 = 37960(1+0.04) = 39478.4

Common ratio: 1+0.04 = 1.04

Sn = \(\frac{a1-a1r^n}{1-r}\)  =  \(\frac{36500-36500(1.04)^12}{1-1.04}\) = \(\frac{-21937.67598}{-0.04}\) = 548441.8995

≈ 548,442

Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

Answer:

y = -7

Step-by-step explanation:

This is a horizontal line

The y value does not change

It is of the form y=

y = -7

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = k

where k is the y-coordinate of every point on the line.

We see that every point on this line has y-coordinate -7, so the equation is

y = -7

Answer:

.

Step-by-step explanation:

.............................

The value of x in the triangle is 8 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, the sides x of the triangle can be found using proportion as follows:

x / x + 8 = x + 8 / 32

cross multiply

32x = (x + 8)(x + 8)

32x = x² + 8x + 8x + 64

x² + 16x - 32x + 64 = 0

x² - 16x + 64 = 0

Therefore,

x² - 16x + 64 = 0

x² - 8x - 8x + 64 = 0

x(x - 8) - 8(x - 8) = 0

(x - 8)(x - 8) = 0

Therefore,

x = 8

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Answer

C. 7y - 2x = 21

Expalnation

You must know that for two lines to be parallel to each other, they must have the same slope.

The standard form of equation of a line is expressed as y = mx+c

m is the slope of the line

Comparing to the given equation y = 2/7x – 5, you will see that

m = 2/7

This means that the equation that will be parallel to this line must also have a slope of 2/7.

Fromm the option given, we need to find the equation that has a slopw of 2/7.

Looking at option A

7x - 2y = -2

First we must write this in standard form y = mx+c as shown

To do this, we need to make y the subject of the formula:

7x - 2y = -2

-2y = -2-7x

-2y = -7x-2

Divide through by -2

-2y/-2 = -7x/-2 -2/-2

y = 7/2x + 1

The slope of this line is 7/2, this shows that the line is not parallel to the given line since their slope are different

Let us look at option C:

7y - 2x = 21

Rewrite the equation

7y = 21 +2x

Divide through by 7

7y/7 = 21/7 + 2/7 x

y = 3 + 2/7 x

y = 2/7 x + 3

We can see that the slope of this line is also 2/7 which is equivalent to the slope of the given line.

Hence the equation of the line parallel to y = 2/7x – 5 is 7y - 2x = 21

Answer:

c). 7y - 2x = 21.

Step-by-step explanation:

Given line is y = 2/7x - 5

Parallel lines have the same slope.

The equation is in slope-intercept form so,

the slope of the given line is 2/7.

We need to convert the given choices to slope / intercept form:

a) 7x = 2y = -2

2y = 7x + 2

y = 7/2x + 1

- so, it's not this one.

b) 2x + 7y = -42

7y = -2x - 42

y = -2/7x - 6 .  No.

c)  7y - 2x = 21

7y = 2x + 21

y = 2/7 + 3.

It's this one.

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

Step-by-step explanation:

i dont know what patulang naman but you have to make your own

Answer:

x=-5

Step-by-step explanation:

6x+4=5x-1

x+4=-1

x=-5

Answer:

0.2588

Step-by-step explanation:

The value of sin pi/12 is equal to the y-coordinate (0.2588). ∴ sin pi/12 = 0.2588.

Answer:

5X^4 + 2X^2 – 8

Step-by-step explanation

Its quadratic form is 5(x²)² +2x² -8

Let be X²=p, so the final expression is 5p²+2p-8

hope this help's

a) The perimeter of the shape is 10π.

b)  The expression for the perimeter of the shape in terms of x and π is  (5/2)πx.

The shape consists of a quarter circle with radius x, and two semicircles with radius x as well.

a) To find the perimeter of the shape when x = 4, we need to first find the length of each component of the shape.

The quarter circle has an arc length of one-fourth the circumference of a circle with radius x, which is:

arc length = (1/4) × 2πx = (1/2)πx

The two semicircles each have a circumference of half the circumference of a circle with radius x, which is:

circumference = πx

Therefore, the total perimeter of the shape is:

perimeter = arc length + 2 × circumference

= (1/2)πx + 2πx

= (5/2)πx

When x = 4, the perimeter of the shape is:

perimeter = (5/2)π(4) = 10π

b) To write an expression for the perimeter of the shape in terms of x and π, we use the same calculations as above:

arc length = (1/2)πx

circumference = πx

Therefore, the perimeter of the shape is:

perimeter = arc length + 2 × circumference

= (1/2)πx + 2πx

= (5/2)πx

So the expression for the perimeter of the shape in terms of x and π is:

perimeter = (5/2)πx

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