[tex]5x^{3} * 2x^{2}[/tex]

Answer:

The inverse of a function may not always be a function!

The original function must be a one-to-one function to guarantee that its inverse will also be a function.

Answer:

14≤x

Step-by-step explanation:

-6(x-4) ≤-4(x+1)

Distribute

-6x+24 ≤-4x-4

Add 6x to each side

24 ≤-4x-4+6x

24 ≤ 2x-4

Add 4 to each side

24+4≤2x

28≤2x

Divide by 2

28/2≤2x/2

14≤x

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

odysseywar said i got it right

Answer:

you're on a computer, you can literally just look up the answer.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

P(A n B) given A and B are independent events is P(A) * P(B)

The probability of intersection of event A and B is 0.135, the correct option is D.

Probability is the study of chance of an event to happen.

A and B are two independent events.

P(A) = 0.3

P(B) = 0.45

P(A ∩ B) = P(A) * P(B)

P(A ∩ B) = 0.3 *0.45

P(A ∩ B) = 0.135

Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.

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Answer: 1/7

Step-by-step explanation:

23x = -12x + 5

23x + 12x = 5

35x = 5

x = 1/7

Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]

Hope this helps!

Answer:

B,C, E

Step-by-step explanation:

A

a+11=15

8+11 = 19

false

B

1=8÷a

1 = 8÷8

1=1  true

C

15+a=23

15+8 = 23

23 = 23

true

D

42=7a

42 = 7*8

42 = 56

false

E

a-5=3

8-5 = 3

3=3 true

Answer:

Step-by-step explanation:

Answer:

alternate exterior angles

Step-by-step explanation:

The two horizontal lines are simply two lines.

The other line is a transversal since it intersect the two lines at two different points.

Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:

alternate exterior angles

Answer:

£2,750

Step-by-step explanation:

Tax rule:  25% tax on any income above £24,000 per year

It means that upto  £24,000 there is no tax and the amount above  £24,000

is taxable.

Annual payment of Dana =  £36,000

Hence, she will be taxed only on amount above  £24,000 out of £36,000.

Lets find amount above  £24,000 =  £36,000- £24,000 =  £12,000

Tax on  £12,000 = 25% of  £12,000 = 25/100 *  £12,000 =  £3,000

Thus,  £3,000 will be deducted as tax annually out of total earning of  £36,000.

Amount paid to Dana after deduction of tax annually =  £36,000 -  £3,000

Amount paid to Dana after deduction of tax annually is £33,000

As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000

the amount of money she receives after tax in 12 month =  £33,000

Dividing LHS and RHS by 12

The amount of money she receives after tax in 12/12 month =  £33,000/12

The amount of money she receives after tax in 1 month =  £2,750

The amount of money Dana receives after tax each month is £2,750.

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

Answer:

= -9/2

Step-by-step explanation:

g(x) = -2x^2 -4

Let x = 1/2

g(1/2) = -2 (1/2)^2 -4

        = -2 ( 1/4) - 4

        -1/2 -4

      - 4 1/2

= -9/2

Answer:

1. the predicted value of the painting in 2014

Step-by-step explanation:

In the expression, 120 represents the initial value of the painting.

In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.

Exponential growth occurs if a quantity increases by the same factor over equal  intervals of time and if a quantity increases by the same factor over equal  intervals of time then it is said to be exponential decay.

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

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Answer:

Step-by-step:

Well, the probability for getting an even number on the first roll is 1/2

The probability for getting not 5 would be 5/6

You can make a tree diagram.

      1                     2                   3                    4                5                    6

1  2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6     1 2 3 4 5 6      1 2 3 4 5 6

The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.

Answer:

no

Step-by-step explanation:

x + 15 = 42

Subtract 15 from each side

x + 15-15 = 42-15

x = 27

x = 17 is not 27 so it is not a solution

Answer:

No.

Step-by-step explanation:

If you substitute 17 in for x in the equation you get 17+15=42.  Simplify to get 32=42.  This is not a true statement, so x=17 is not the answer.

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Answer:

2784 cm^2

Step-by-step explanation:

I have indicated in the pic there are 4 types of rectangles:

green : 20 x 4 = 80

red : 18 x 4 = 72

yellow : 20 x 18 = 360

blue : 18 x 16 = 288

green has 6 identical surface area so 6 x 80 = 480

red has 4 so 4 x 72 = 288

yellow has 4 so 4 x 360 = 1440

blue has 2 so 2 x 288 = 576

total : 480 + 288 + 1440 + 576 = 2784

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3 = 5 1/3

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3

= 5 1/3

Hope this helps!

The first one on the left.

The vertical bars mean we take the absolute value of that number.

Absolute value means distance from zero on a number line.

So the absolute value of any number

is the positive version of that number.

So for the one on the left we have |-100| > |50|.

Since absolute value represents the positive version

of a number, the absolute value of -100 will be 100.

Since |50| is already positive, it stays the same.

So we have 100 > 50 which is indeed a true statement.

If you solve the other ones, you will see that they are false.

Answer:

the first one on the left side

Step-by-step explanation:

Answer:

TV=6 inch

Step-by-step explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]

Answer:

y = 4x -3

Step-by-step explanation:

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:

[tex]2^2-4(4)(6)=4-96=-92[/tex]

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

Answer:

The answer is -135

Step-by-step explanation:

We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).

Then, we do 480 minus 354 which is -135.

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

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Answer:

b) 68%

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Step-by-step explanation:

Let 'X' be the normally distributed

mean 'μ'= 4 inches

standard deviation 'σ' = 0.2 inches

Case(i):-

when x₁ = 3.8 inches

[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]

Case(ii):-

when  x₂= 3.8 inches

[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]

The probability of the parts will have lengths between 3.8 in and 4.2 in

[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]

                        = P(Z≤1) - P(Z≤-1)

                        =  0.5 +A(1) -(0.5-A(1)

                       = 2 A(1)

                       = 2×0.3413

                      = 0.6826

Conclusion:-

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Answer:

B

Step-by-step explanation:

E2020

Answer:

14 lines shape symmetry

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent