answers to the question
1

5

7

9

11

Answer:

11,880.

Step-by-step explanation:

This is given by the number of permutations of 4 from 12

= 12P4

= 12!/(12-4)!

= 12!/8!

=  (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)

= 12^11*10*9

= 11,880.

Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

Answer:

I did the work and uploaded the picture i hope it helped!!

Answer:

d = 105° , e = 32° , f = 43°

Step-by-step explanation:

d and 105° are vertically opposite angles and are congruent , then

d = 105°

e and 32° are vertically opposite angles and are congruent , then

e = 32°

105° , e and f lie on a straight line and sum to 180° , that is

105° + e + f = 180°

105° + 32° + f = 180°

137° + f = 180° ( subtract 137° from both sides )

f = 43°

Answer:

d= 105° f= 43° e= 32°

Step-by-step explanation:

angle d = 105° ( vertically opposite angles are equal)

f°+d°+32°= 180 (angles on a straight line)

f+105+32= 180

f+137=180

f= 180-137= 43°

f= 43°

angle .d+f+e = 180° (angles on a straight line)

105+43+e = 180°

148+ e = 180°

e = 180-148

e = 32°

therefore,

d= 105° f= 43° e= 32°

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

Using sampling concepts, it is found that the correct statement is given by:

c. the sample is 85 people. the population is 2,534 people.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

Answer:

4:25

Step-by-step explanation:

Sphere surface area = 4 pi r^2  

   now change r to 2.5 r  ( to maintain the 2:5 ratio)

   area2 = 4 pi (2.5 r)^2 =     6.25    *    4 pi r^2

    so ratio of surface areas is  1 : 6.25   = 4:25

If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two similar spheres have a scale factor of 2:5.

Let the r₁ and r₂ be the radius of the spheres. Then we have

r₁ / r₂ = 2 / 5

Then the surface area of the sphere is given as

Surface area = 4πr²

Then the ratio of their surface areas will be

[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]

Then we have

→ (2 / 5)²

→ 4 / 25

More about the geometry link is given below.

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Answer:

x = -6

Step-by-step explanation:

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

Learn more on Simplification of fractions here: https://brainly.com/question/26496816

Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

hope this helps :)

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

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Finding y-intercept

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

opposite sides and diagonals of a parallelogram are equal

+ diagonals of a parallelogram meet eachother in the middle so:

10x+14=x+77

10x-x=77-14

9x=63

x=63÷9

x= 7

y+8=4y-19

y-4y=-19-8

-3y=-27

y=-27÷-3

y=9

2z+3=37

2z=37-3

2z=34

z=34÷2

z=17

Answer:

145 is the outlier

Step-by-step explanation:

When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.

Answer:

Y = 27

Step-by-step explanation:

In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)

Answer:

36

Step-by-step explanation:

4 x 9 = 36

36 / 4 = 9

Therefore, 36 is 4 times as much as 9.

[tex]{\sf Hello!}[/tex]

The answer is 36

⇢ 4 × 9 = 36

Answer:

answer: 336!!

Step-by-step explanation:

have a good day!

Answer:

Y = 32 + T

Step-by-step explanation:

Given:

- temperature Y, in degree Fahrenheit (°F)

- temperature T, in degree Celsius (°C)

- Y equal to 32 more than of the temperature T

Y = 32 (more means add) + temperature T

Answer:

See below ~

Step-by-step explanation:

Finding the proportionality constant, k :

Table :

[tex]\left[\begin{array}{ccc}0.5&3\\1.5&9\\4.5&27\end{array}\right][/tex]

Answer:

x=80

that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]

Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

Learn more about probability on:

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Answer:

[tex]x=-\frac{9}{4}[/tex]

Step-by-step explanation:

Step 1:  Subtract 21 from both sides

[tex]8x + 21 = 3[/tex]

[tex]8x + 21 - 21 = 3 - 21[/tex]

[tex]8x = -18[/tex]

Step 2:  Divide 8 from both sides

[tex]8x = -18[/tex]

[tex]\frac{8x}{8}=-\frac{18}{8}[/tex]

[tex]x=-\frac{9}{4}[/tex]

Answer:  [tex]x=-\frac{9}{4}[/tex]