[tex] {3a}^3b -54b[/tex]
factorize it plz​

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

Answer:

2(x+9)^2 + 4

Step-by-step explanation:

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

Answer:

sorry

Step-by-step explanation:

polynomial is not given

question is incomplete

Answer:

13,415 miles

Step-by-step explanation:

Final position - initial position = Miles traveled:

23,840 miles - 10,425 miles = 13,415 miles

Answer:

6+4*(5-3)

Step-by-step explanation:

Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!

Answer: 6 + 4 × (5-3)

Explanation:

6 + 4 × (5-3) = 14

6 + 4 × 2 = 14

6 + 8 = 14

14 = 14

Must click thanks and mark brainliest

Answer:

1

5

4

2

3

Step-by-step explanation:

1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.

2 is again a union. A and C are combined. C contains only one element : x=5.

3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.

4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.

5 is again a cross section. the only shared element between B and C is x=5.

Answer:

19 = 7z - 2z

19 = 5z

z = 19/5

Hope this helps!

Answer:

z = 3.8

Step-by-step explanation:

19 = 7z - 2z

19 = 5z

19/5 = z

3.8 = z

Answer:

[tex]9(c+5)=9c+45[/tex]

Step-by-step explanation:

Multiply 9 by the variable and the number

Answer:

B. 970,000

Step-by-step explanation:

Move the decimal 5 places to the right, since the exponent is a positive 5.

9.7 x 10⁵ = 970,000.

If it is a negative exponent, you would have to move the decimal to the left.

Answer:

b) 7.89*10^4

c) 3.15*10^3

Step-by-step explanation:

2-42)

the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.

b) 0.789*10^5

c) 31.5*10^2

b) 0.789*10^5

in order to make 0.789 greater than 1, I would just multiply it by 10. shown below

=0.789*10*10*10*10*10

=7.89*10*10*10*10

=7.89*10^4

c) 31.5*10^2

same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent

=31.5*10*10

=3.15*10*10*10

=3.15*10^3

Answer:

Step-by-step explanation:

I forgot

Answer:

it is an absolute function

or more precisely

y = - I x - 1 I + 8  (shown in the screenshot)

The calculation of the probability and interpretation of the difference in mean and the relation to level of significance between and the treatment and control groups are as follows;

Question 1;   Part A

The probability that the treatment group mean is greater than the control group mean by 8 points or more is 3.6%

The completed statement is as follows;

The significance level is set at 5%, and the probability of the result is 3.6%, which is lower than significance level. The result is statistically significant

Part B

The result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate

Question 2; Part A

The probability of the treatment group mean is lower than the control group mean by 15 points or more is 7.8%

The completed statement is as follows;

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant

Part B;

The result is not statistically significant which implies that wearing a watch does not make people manage their time better

The reason for the above solutions is as follows;

Question 1;

The known parameters;

The significance level of the test, α = 5%

The frequencies of the difference in mean between the treatment and control groups given in the table

The number of randomizations, ∑f = 1,000

The required parameter

The probability of the treatment group mean is greater than the control group mean by 8 points or more

The significance of the result

The comparison between the given level of significance and the probability

Method

We find the probability for the required difference in mean from the data given in the table

The probability that the treatment group mean is greater than the control group mean by 8 points or more is given by the following formula;

[tex]\mathbf{P(8 \ or \ more) = \dfrac{\sum f(8 \ or \ more)}{\sum f}}[/tex]

From the table, we have;

∑f(8 or more) = 26 + 8 + 2 = 36

∑f = 1 + 10 + 28 + 58 +...+ 114 + 57 + 28 + 8 + 2 = 1,000

Therefore;

[tex]P(8 \ or \ more) = \dfrac{36}{1,000} = 0.036 = 3.6\%[/tex]

The probability, P(8 or more) 3.6%

Given that the significant level, α = 5% is higher than the probability of 3.6%, the result is statistically significant

Part B

The true statement is that the result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate

Question 2;

The known parameters are;

The significance level of the test, α = 5%

The frequencies of the difference in mean between the treatment and control groups given in the table

The number of randomizations, ∑f = 1,000

The required parameter

The probability of the treatment group mean is lower than the control group mean by 15 points or more

The significance of the result

The comparison between the given level of significance and the probability

Method

Using the method from Question 1, we have;

Part A

[tex]\mathbf{P(15 \ or \ more) = \dfrac{\sum f(15 \ or \ less)}{\sum f}}[/tex]

From the table, we have;

∑f(15 or more) = 50 + 18 + 10 = 78

∑f = 10 + 18 + 50 + 127 + 195 + 226 + 180 + 117 + 48 + 17 + 12 = 1,000

Therefore;

[tex]P(15 \ or \ more) = \dfrac{78}{1,000} = 0.078 = 7.8\%[/tex]

The probability, P(15 or more) = 7.8%

Given that the significant level, α = 5% is lower than the probability of 7.8%, the result is not statistically significant

Therefore, we have;

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant

Part B

The true statement is that the result is not statistically significant which implies that wearing a watch does not make people manage their time better

Learn more about hypothesis testing here;

https://brainly.com/question/4232174

Question 1;  

Part A

The significance level is set at 5%, and the probability of the result is 3.6%, which is less than the significance level. The result is statistically significant

Part B

A) The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Question 2;

Part A

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is NOT statistically significant

Part B;

B) The result is not statistically significant, which implies that wearing a watch does not help people manage their time better.

Step-by-step explanation:

Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

C={2,4,6,8}

C={2×1,2×2,2×3,2×4}

thus set builder form is:

{x:x=2n,n∈N} and this set is also call even number set in description mathod

Answer:

Equation 5x+15=180°

x=33°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

Form an equation:

4x+15+x=180° (Both of the red and blue angles add up to make the straight line).

Collect like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

Put it back into an equation:

5x+15=180°

To find x, you would have to do inverse operations to isolate it.

180-15=165°

5x=165°

165÷5=33° (We divide by 5 because, in algebra, when a number is next to a letter it means times and as we want the inverse we divide).

So, x=33°

Hope this helps :)

Answer:

[0,infinity)

Step-by-step explanation:

Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Answer:

4

Step-by-step explanation:

120/30 = 4

Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.

Answer:

A. 13

Step-by-step explanation:

2(x - 3) + 3y

2(5 - 3) + 3×3

2× 2 + 3×3

4 + 9

13

Answer:

The correct answer is A

Step-by-step explanation:

2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)

next,

you would solve it

2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3

finally you solve it

10-6 = 4 +9

= 13!

Answer:

Step-by-step explanation:

If K is square number, then exponents in number N are even.

Step-by-step explanation:

, it's was helpful to you

[tex]3x - 12 = - 9 \\ x - 4 = - 3 \\ x = - 3 + 4 \\ x = 1 \\ \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2 \\ \\ x - 5 = - 6 \\ x = - 6 + 5 \\ x = - 1 \\ \\ x + 3 = x - 1 \\ x - x = - 1 - 3 \\ x = - 1 - 3 \\ x = - 4 \\ \\ 7x - 3 = 4 \\ 7x = 4 + 3 \\ 7x = x \\ x = \frac{7}{7} \\ x = 1[/tex]

Answer:

-3

Step-by-step explanation:

You have to bring -16 to the other side by adding.

It would make it: -7a=21

Then you hve to diving the -7.

-7a/-7=21/-7

That would equal -3

Answer:

A= -3

Step-by-step explanation:

-7a - 16 = 5

( -7a - 16) + 16 = 5 + 16

-7a - 16 + 16 = 21

-7a = 21

7a/7 = - 21/7

a = -3

Hope this helps you

Brainless please

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

The number of kilowatt-hours used KWH is 471.6 KWH.

Since the power bill for the month says you pay 15 cents per kilowatt-hour, this is the rate of the bill. We convert this a a dollar rate.

So, 15 cents per kilowatt-hour = 15 cents × $ 1/100 cents per kilowatt-hour (since $ 1 = 100 cents)

= 15 cents/100 × $ 1/100 cents per kilowatt-hour

= 0.15 × $ 1/100 cents per kilowatt-hour

= $ 0.15 cents per kilowatt-hour.

Since the power bill came out to be $ 70.74, we need to find the number of kilowatt-hours used KWH.

The total amount on bill = rate of bill × number of kilowatt-hours used.

So, number of kilowatt-hours used = total amount on bill/rate of bill

Total amount on bill = $ 70.74 and rate of bill =  $ 0.15 cents per kilowatt-hour.

So, number of kilowatt-hours used = total amount on bill/rate of bill

number of kilowatt-hours used = $ 70.74 /$ 0.15 cents per kilowatt-hour.

number of kilowatt-hours used = 471.6 KWH

So, number of kilowatt-hours used KWH is 471.6 KWH.

Learn more about power bill here:

https://brainly.com/question/1401925

Answer: exponential growth

Step-by-step explanation:

Answer:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=0.Horizontal Asymptote: y=0.

Answer:

y int: The starting value. Domain: All Real Numbers. Range: y<=30,000. The Function is decreasing

Step-by-step explanation:

The y int. is the starting value because it is the point where no years have started yet on the x axis so that means that the value of the car will be as if you had just bought it. The domain is all real numbers because the number of years you could have the car could be infinate. The range is the y axis part meaning that it could be any number starting from 30,000 and decreasing because the car value is constantly decreasing. And due to the fact that the price is going down every year by 15%, the function is decreasing.

Answer:

The area of the circle is 100 square units.

Step-by-step explanation:

We are given that the circumference of a circle is 20π, and we want to determine its area.

Recall that the circumference of a circle is given by the formula:

[tex]\displaystyle C = 2\pi r[/tex]

Substitute:

[tex]20 \pi = 2 \pi r[/tex]

Solve for the radius:

[tex]\displaystyle r = \frac{20\pi}{2\pi} = 10[/tex]

The area of a circle is given by:

[tex]\displaystyle A = \pi r^2[/tex]

Since the radius is 10 units:

[tex]\displaystyle A = \pi (10)^2[/tex]

Evaluate:

[tex]\displaystyle A = 100\pi\text{ units}^2[/tex]

In conclusion, the area of the circle is 100 square units.

Answer:

64

Step-by-step explanation:

the answer is 64 hope this helps

Answer:

D

Step-by-step explanation:

tan(theta) = y/x

tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1

Initial velocity (u) = 0m/s

Final velocity (v) = 20m/s

Time (t) = 10 s

Acceleration (a)

= (v - u)/t

= [(20m/s) - (0m/s)]/10s

= (20m/s)/10s

= (20m/s²)/10

=> 2m/s²