Question 7(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4^4•4³
3
4^5

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

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The probability that the student was NOT a female that got a "C" is 15 / 32.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the student was NOT a female that got a "C" = number of males that got a C / total number of people that got a C =  15 / 32.

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Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

The conversion from degree to radian will be 180° = π radian. Then the measure of angle 75° is 1.31 radians.

Conversion means to convert the same thing into different units.

Convert the degree measure to the radian measure.

⇒ 75°

We know the conversion is given as

180° = π radian

   1° = π/180°

Then we have

75° = 75° x π/180° radian

75° = 1.30899 radian

75° ≅ 1.31 radian

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Answer: Transitive property of congruence

Answer:

d

Step-by-step explanation:

Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

===============================================================

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

=============================================================

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)

The sentence that correctly compares the two numbers is 5385 > 5.395

Here are inequality signs and what they mean:
Note that

5385 is greater than 5.385. Thus, the correct statement is 5385 > 5.395.

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Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

Hope this helped and brainliest please.

Answer:

The remainder is 9

Step-by-step explanation:

x-7=0

x=7

Plug x=7 into the given fxn

-2(7)²+15(7)

-2(49)+105

-96+105

9

The inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1

The equation is given as:

f(x) = 3x + 3

Express f(x) as y

y = 3x + 3

Swap the positions of y and x

x = 3y + 3

Make y the subject

3y = x - 3

Divide by 3

y = 1/3x - 1

Replace y with the inverse function

f-1(x) = 1/3x - 1

Hence, the inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1

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Answer: 62.5%

Step-by-step explanation:

5/8 = 0.625

0.625 x 100 = 62.5

The answers to the question are

The median of the data set is gotten by arranging the values in order

3, 4, 5, 5, 7, 8

The median can be gotten by

5 + 5 / 2

= 10/2

Median = 5

This is the value under which 25 percent of the data are found in the group of data. The lower quartile is 4.

This is the point from which 75 percent of the data is found when it is in ascending order. The upper quartile is 7.

The lowest value in the data set is 3

The highest value in the data set is 8

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The point R is the point which is not coplanar with points C, D and E.

We need to find the point which is not coplanar with points C, D and E.

The points that lie on the same plane are called coplanar points.

In the given figure there are five planes which are as follows:

BCUD, BRAE, BRAC, BTDE, ACUDE

Now, points C,D and E lie in plane ACUDE.

In the plane ACUDE points A, C, U, D, E and S lies.

From the options point, R is not lining in the same plane as C, D and E lies.

Therefore, the point R is the point which is not coplanar with points C, D and E.

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Answer:

6.28 ft

Step-by-step explanation:

using the formula [tex]\pi d[/tex] to find the circumference of the circle, you substitute the numbers. 3.14(2). 3.14 x 2 = 6.28 hence the answer

The proposition given by definition of function "division" is false as [tex]\frac{f}{g} \ne {(1, 2)}[/tex] for the former function f = (9, 5) and the latter function g = (9, 0).

In this question we have a definition of division between two functions, consisting in dividing each component of the ordered pair of the former function (f) by the component of the ordered pair of the latter function (g) such that resulting ordered pair is (1, 2).

We must check if the proposition is true for every ordered pair. Let analyze each case:

Case I

[tex]\frac{f}{g} = \left(\frac{1}{1}, \frac{6}{3} \right) = (1, 2)[/tex]

Case II

[tex]\frac{f}{g} = \left(\frac{9}{9}, \frac{5}{0} \right) = (1, NaN)[/tex]

Thus, the proposition is false.

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Answer:

31°

Step-by-step explanation:

As the opposing side and adjacent side of the angle x are given, we need to take the tan ratio of the angle.

=============================================================

Solving :

⇒ tan x° = 9/15

⇒ tan x° = 3/5

⇒ x = tan⁻¹ (0.6)

⇒ x = 31°

The size of the unknown angle "x"

We'll have to check which is the appropriate one from SOHCAHTOA.

In this question we'll have to use tan because opposite and adjacent is given.

[tex]\large\boxed{Formula: tan(A)= \frac{opp}{adj}}[/tex]

Substitute according to the formula.

[tex]tan \: x= \frac{9}{15}[/tex]

We'll have to use tan inverse.

[tex]x={tan}^{-1}(\frac{9}{15})[/tex]

[tex]x=30.96375653[/tex]

[tex]\large\boxed{x=31° }[/tex]

Hence, the size of the unknown angle "x" is 31°

The area of the circle will be equal to 11309.733 square centimetres.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle will be calculated by the following formula:-

Area = πr²

Area = π x ( 60 x 60 )

Area = 3.14 x 60 x 60

Area = 11309.733 square centimeters.

Therefore the area of the circle will be equal to 11309.733 square centimetres.

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The total weight of the 100 cantaloupe is 324 pounds

The given parameters are:

Since the number of zeros in 100 is 2;

All Evans needs to do is to move the decimal point in 3.24 two places forward.

i.e. 3.24 becomes 324 when the decimal point is moved

Hence, the total weight of the 100 cantaloupe is 324 pounds

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Answer:

B

Step-by-step explanation:

Total money spent = 25 + 30 + 10 + 8 = 73

Per week = 73 / 4 = 18.25

Answer:

The answer is in Step.

Step-by-step explanation:

Domain: (- inf, + inf)

Range: (- inf, 3]
Increasing: (- inf , 0)

Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)

Maximum: (0,3) or just 3.

Minimum: None.
x-int: -1, 1
y-int: 3

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term

2 (1) -2 = 0 first term

2 (2)-2 = 2 second

2 (3)-2 = 4 third

2 (4)-2 =6 fourth

2 (5)-2 =8 fifth

Answer:

-4

Step-by-step explanation:

[tex]~~~~~-24 = 6x\\\\\\\implies -\dfrac{24} 6 = \dfrac{6x}6\\\\\\\implies x = -4[/tex]

Answer:

22 meters

Step-by-step explanation:

Let x = width of the rectangle

Let y = length of the rectangle

Equation 1

If the length of the rectangle is 6 meters shorter than four times the width then:

⇒ y = 4x - 6

Equation 2

Perimeter of a rectangle = 2(width + length)

If the perimeter is 58 inches, then:

⇒ 58 = 2(x + y)

Solve by substitution

Substitute Equation 1 into Equation 2 and solve for x:

⇒ 58 = 2(x + 4x - 6)

⇒ 58 = 2(5x - 6)

⇒ 58 = 2 · 5x - 2 · 6

⇒ 58 = 10x - 12

⇒ 58 + 12 = 10x -12 + 12

⇒ 10x = 70

⇒ 10x ÷ 10 = 70 ÷ 10

⇒ x = 7

Substitute found value of x into Equation 1 and solve for y:

⇒ y = 4(7) - 6

⇒ y = 28 - 6

⇒ y = 22

Conclusion

The dimensions of the rectangle are:

Therefore, the length of the longer side is 22 meters

The length of the longer side is 22 meters.

Let, one side of the rectangle is x meters.

According to the problem, the other side is 6 meters shorter than four times this side, which means the length of the second side is (4x - 6) meters.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (length + width)

In this case, the perimeter is 58 meters:

58 = 2 * (x + 4x - 6)

Now, let's solve for x:

58 = 2 * (5x - 6)

58 = 10x - 12

Add 12 to both sides:

58 + 12 = 10x

70 = 10x

Now, divide both sides by 10 to isolate x:

x = 70 / 10

x = 7

So, one side of the rectangle is 7 meters.

Now, we can find the length of the longer side:

Length of the longer side = 4x - 6

Length of the longer side = 4 * 7 - 6

Length of the longer side = 28 - 6

Length of the longer side = 22 meters

Therefore, the length of the longer side is 22 meters.

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Answer:

  B.  27 < AB < 81

Step-by-step explanation:

The triangle inequality requires that the length of any given side of a triangle be greater than the difference and less than the sum of the other two sides.

__

  54 -27 < AB < 54 +27

  27 < AB < 81

_____

Additional comment

Some versions of the triangle inequality allow the "or equal to" case.

  27 ≤ AB ≤ 81

Apparently, the one used here does not.

If the sum of the two short sides is equal to the long side, the "triangle" looks like a line segment. Its altitude and area are zero.

Step-by-step explanation:

2x + 28° + 90° = 180° ( The sum of all angle of triangle is 180° )

Now you may add 28° and 90° and subtract it from 180° ...

2x = 62° ..

Now...divide 62 by 2 ...

x = 31°

hence the value of x is 31°....

Answer: AAS

Step-by-step explanation:

We know that [tex]\angle TSN \cong \angle HSU[/tex] because they are vertical angles, meaning the triangles are congruent by AAS.

So

Hence

Option A

Answer:

Option A

Step-by-step explanation:

y=4x+10

So

Put x ax 12°C

Hence

y=4(12)+10

y=48+10

y=58