If Q is between R and T , RT = 24 cm, and QR = 6 cm, then QT = _________.

Answer:

37

Step-by-step explanation:

\( \: \: \: \: \: \: \)

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Answer:

set it up as equation

Step-by-step explanation:

hope this helps you get started

Answer:

18

Step-by-step explanation:

if 4 = 6

multiply them both by 3

and you get 12 = 18

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

40 hours

Step-by-step explanation:

did 18.25*40 then subtracted 182.50 and it equaled 547.50

Answer:

1. )0.35

2. )1.15

3.)0.5 (5 repeating's)

4.)2.72

Step-by-step explanation:

7 divide  20=0.35

-23 divide 20=1.15

-60 divide 22 = 2.727272 but it is 2.72

Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

Answer:

D

Step-by-step explanation:

I think that it would be d

Answer:

Step-by-step explanation:

hope it helps..........

Answer:

i would say A.

Step-by-step explanation:

because 1028 + 693 = 1721 then you would do 2042 - 1721 and that would be 321.

The graph of the given piecewise function is plotted at the end of the answer.

A piecewise function is a function that has different definitions, depending on the input.

From the definition in the problem, we have that:

Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.

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Given one point and a slope:

To graph the line plot the given point first.

Then find the second point, consider the slope by adding 1 to the x-coordinate and -5 to the y-coordinate, this gives us:

Next, plot the second point (-2, - 9).

Now connect the two pints and extend either side. This is the line you need.

1/1 is the ratio of the volume of the pyramid to the volume of the prism.

What do you mean by prism?

A prism is a solid, three-dimensional object whose two ends are identical. It is a result of the elements of flat sides, similar bases, and equal cross-sections. The prism's faces are either parallelograms or rectangles without bases.

                               A prism is a homogeneous solid, angled-inclined, transparent, and refracting media that is surrounded by two flat surfaces. The typical prism comprises three rectangular surfaces, two parallel triangular faces, and two triangular faces. They are manufactured out of glass or another transparent material that has been precisely angled sliced.

the formula of the volume of pyramid =1/3*h*base

the volume of prism=base*h

we know that the height of pyramid is 3 times more than the height of prism so that if the height of prism is a ==> the volume of prism is a*base

the height of prism is 3a so that ==> the volume of pyramid is ==>1/3*3a*base  =a*base

The Answer of the ratio is 1/1

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The complete question is -

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism?

Answer:

G. 18 yards

Step-by-step explanation:

The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Note that 1 gallon = 16 cups

Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups

Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:

= 8 ÷ 3/4

= 8 × 4/3

= 10 2/3

Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

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Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

Answer:

47

Step-by-step explanation:

The solution of the graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

What is Inequality?

To compare two or more mathematical expression in a relation is called an Inequality.

Given that;

The solution sets are;

y < 2x - 8

y > -1/2 x - 3

Now, We draw graph of inequalities.

Then we get,

The graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

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Answer:

~381 rooms

Step-by-step explanation:

9.45% of the rooms is 36

36/9.45= 3 17⁄21

3 17⁄21*100= 380 20⁄21

round to 381

Add up the 3 items for subtotal.

Then take that subtotal and multiply by 0.20 (which is the same as 20%). That's your tip.

Add subtotal + tip and there's your total bill.

See attached screenshot.

Hope you have a good afternoon : )

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

\( \frac{ \sqrt{ - 75} }{ \sqrt{25} } \\ \\ \frac{ - 5625}{625} \\ \\ - 9\)

Answer:

He was 45 in present day. But 12 years ago, he was 33.

Step-by-step explanation:

12+3=15

15•3=45 (you multipply because if you use 1/3 you would have to divide 45 by 3.)

Hello :D

Ruto is currently 12 years old. In 3 years he will be 15. 1/3 is 15. 3/3 would be 45 years old. 45 - 12 = 33

The maximum likelihood estimator (MLE) of θ = λ² is  θ-hat = (Σx_i/n)², and the bias of this estimator is E(θ-hat) - θ = (Σx_i/n)² - λ². This estimator is consistent as n→∞.

To find the MLE of θ, first find the MLE of λ (λ-hat), which is the mean of the observed values (Σx_i/n). Since θ = λ², the MLE of θ is θ-hat = (Σx_i/n)².

To compute the bias, find the expected value of θ-hat (E(θ-hat)) and subtract θ. E(θ-hat) = E((Σx_i/n)²) and θ = λ². Bias = E(θ-hat) - θ = (Σx_i/n)² - λ².

To determine if the estimator is consistent, observe that as n→∞, the bias converges to 0, making the estimator consistent.

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Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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\(~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7\)

Answer: x=10, y=7.5

Step-by-step explanation:

For this problem, we are given that BD bisects ABC. That means ABD and DBC are equal to each other. We are also given that ABC is 25. With the given information, we can create two equations.

Equation 1: 2x-y=3y-x

Equation 2: 2x-y+3y-x=25

Now, we can solve for x and y.

2x-y+3y-x=25             [combine like terms]

x+2y=25

Let's simplify Equation 1 by solving for a variable.

2x-y=3y-x                    [add both sides by x]

3x-y=3y                       [add both sides by y]

3x=4y                           [divide both sides by 3]

x=4/3y

Now that we have x, we can plug it into any equation to solve for y.

x+2y=25                      [plug in x=4/3y]

(4/3y)+2y=25              [combine like terms]

10/3y=25                     [multiply both sides by 3/10]

y=15/2

Now we can plug in y=15/2 to solve for x.

x=4/3y                          [plug in y=15/2]

x=4/3(15/2)                  [multiply]

x=10

Now, we know that x=10 and y=7.5.