proof
Lemma 7.1.3 (Commutation relation) For each c# 0, FDc = D1/eF; in particular, FD = D-¹F.

The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

Answer:

-1.8

Step-by-step explanation:

You can reverse it by doing -9/5 and you get -1.8.

Hope this helps! Pls give brainliest!

Answer: Bethany is not correct

Step-by-step explanation:

The volume of the box is the product of its three dimensions, length, width, and height. The product of a number of "inches" and a "pure number" (3 has no units given) will not be "cubic inches."

_____

As it happens, the cube-shaped box with a volume of 27 cubic inches will have a height of 3 inches and a side area of 9 square inches. The edge length of the cube is 3 inches, not 9.

Answer:

k=8

Step-by-step explanation:

-11-k=-3

+11     +11

-k=8

divide -1 on both sides

k=8

Answer:

if you are adding two negative numbers, the number is greater

if you are taking a positive number and adding a negative number to it you subtract

so like the answer to number three, -51 + -9 your answer is negative 60, number four your answer is 21, number seven your answer is 43, number 8 your answer is -34 number 11 your answer is 6 number 12 your answer is 12 hopefully you catch on

Answer:

Step-by-step explanation:

1. -51 + (-9) = -60

2. 27 + (-6) = 21

3. 1 + (-30) = -29

4. 15 + (-25) = -10

5. 50 + (-7) = 43

6. -19 + (-15) = -34

7. (-23) + 9 = -14

8. -19 + (-21) = -2

9. -17 + 11 = -6

10. 20 + (-8) = 12

11. (-15) + (-7) = -22

12. 12 + (-14) = -2

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Answer:

2/9

Step-by-step explanation:

To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators

1/4 * 2/3 = 2/12 which simplifies to 1/6

1/6 * 4/3 = 4/18 which simplifies to 2/9

:D

The value of the composite function (g o f)(6) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

substitute the known values in the above equation, so, we have the following representation

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

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Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

Answer: the answer is 20

Step-by-step explanation:

I had the same question and did my math and got it right

Answer:

5

Step-by-step explanation:

5x - 1 =3x +9

5x - 3x =9 +1

2x =10

x=10 :2

x=5

Answer:

As per Provided Information

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

\( \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}\)

On substituting the value we obtain

\( \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches\)

Therefore,

Answer:

30 deg  9 sec  50 min

Step-by-step explanation:

First borrow 1 degree (equivalent to 60 seconds) from the 50', obtaining:

60 deg 49 sec 100 min

-30 deg 40 sec 50 min

-----------------------------------

30 deg  9 sec  50 min

Answer:70

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

can you give me some more details

Answer:

Quartic function

Step-by-step explanation:

Answer: Quartic function

Step-by-step explanation:

This equation is in slope-intercept form of y = mx + b form.

The m represented by the coefficient of the x term

represents the slope and b represents the y-intercept.

So our y-intercept is -4 and we can write this as the ordered pair (0, -4).

Answer:

The answer is number 1 m=(-1,-2)

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

I think its 19

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

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1) The corresponding p-value is 0.0924.

2) The corresponding p-value is 0.4284.

1) For the hypothesis test:

H0: p = 0.2

Ha: p > 0.2

Given a test statistic of Z = 1.32, we can calculate the corresponding p-value using a standard normal distribution table or a statistical software.

The p-value represents the probability of obtaining a test statistic as extreme as the observed value (or more extreme) under the null hypothesis.

Since the alternative hypothesis is one-sided (p > 0.2), we are interested in the area under the curve to the right of the observed Z-value.

Using a standard normal distribution table or a statistical software, we find that the proportion of the standard normal distribution to the right of Z = 1.32 is approximately 0.0924.

Therefore, the corresponding p-value is 0.0924 (rounded to 4 decimal places).

2. For the hypothesis test:

H0: p = 0.2

Ha: p ≠ 0.2

Given a test statistic of Z = 1.24, we can calculate the corresponding p-value using a standard normal distribution table or a statistical software.

Since the alternative hypothesis is two-sided (p ≠ 0.2), we are interested in the probability of obtaining a test statistic as extreme as the observed value (or more extreme) in either tail of the distribution.

Using a standard normal distribution table or a statistical software, we find that the proportion of the standard normal distribution in both tails beyond Z = 1.24 (in absolute value) is approximately 0.2142.

Since the p-value represents the combined probability of both tails, the corresponding p-value is 2 * 0.2142 = 0.4284 (rounded to 4 decimal places).

Therefore, the corresponding p-value is 0.4284 (rounded to 4 decimal places).

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Answer:

A = 26          B = 82

Step-by-step explanation:

The angle A = 180 - ∅

So A is:

180 - (4x+10)

180 - 4x - 10

170 - 4x

The total angle of a triangle is 180, so A + B + C = 180

(170 - 4x) + (2x + 10) + 72 = 180

170 - 4x + 2x + 10 + 72 = 180

170 - 2x +82 = 180

252 - 2x = 180

252 - 180 = 2x

72 = 2x

72/2 = x

36 = x

A = (170 - 4x) = (170 - 4(36)) = 26

B = (2x + 10) = (2(36) + 10) = 82

C = 72

Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using long division:

As you can see, the quotient is 2.8, therefore:

Answer

- The solution of this compound inequality is x < 3 OR x ≥ 4

- The graph of this solution is attached below

- The interval notation is (-∞, 3) OR [4, ∞)

Explanation

The compound inequality to be solved is

6x - 3 < x + 12 OR 5x - 6 ≥ 3x + 2

To solve this, we solve each of the pair one at a time for the two-part solution

6x - 3 < x + 12

6x - x < 12 + 3

5x < 15

Divide both sides by 5

(5x/5) < (15/5)

x < 3

OR

5x - 6 ≥ 3x + 2

5x - 3x ≥ 6 + 2

2x ≥ 8

Divide both sides by 2

(2x/2) ≥ (8/2)

x ≥ 4

So, the solution is

x < 3 OR x ≥ 4

So, this solution says that x is less than 3, but greater than or equal to 4.

For the graph, Note that

In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.

But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.

This solution tells us that the wanted parts are numbers less than 3 and numbers greater than 4.

Also, in writing inequalities as interval, the signs (< or >) indicate an open interval and is written with the bracket () while the signs [≤ or ≥] denote a closed interval which is denoted by the brackets [].

x < 3, that is, x ranges from negative infinity to just before 3.

x < 3 is (-∞, 3)

x ≥ 4, that is, x ranges from 4 to infinity

x ≥ 4 is [4, ∞)

Hope this Helps!!!

Answer:

1. 22x+33

2.24-16x

Step-by-step explanation:

Use the distributive property to multiply the variables

(2x times 11)plus (three times 11)

(8 times 3)plus(eight times -2x)

The area of a circle can be represented by the equation A = πr^2, where r is the radius. If the area of a circle is 4π cm^2, then we can solve for the radius, r:

4π = πr^2

Dividing both sides by π:

4 = r^2

Taking the square root of both sides:

r = 2 cm

The circumference of a circle can be represented by the equation C = 2πr, where r is the radius. Using the value of r we found earlier, we can now find the circumference of the circle:

C = 2π(2)

C = 4π cm

The circumference of the circle is 4π centimeters.

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