Simplify (-8a¹b) (3a³b).
a) -24a7b²
b) -5a7b²
c) -5a¹26
d) -24a¹26²​

Answers

Answer 1
The answer to this question is -24a^4 b^2, as a^1 * a^3 is a^4, and b * b = b^2.

Related Questions

There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

The probability that they do not use the swimming pool will be 0.2.

How to calculate the probability?

From the information given, there are 135 people in a sport centre and 31 people use the gym and the track while 4 people use all three facilities.

Based on the information given, the people who use the gym and the track only will be:

= 31 - 4

= 27

The probability that they do not use the swimming pool will be:

= 27/135

= 0.2

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How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20)

Answers

The equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is having only one solution.

Given equation 0.75(x+40)=0.35(x+20)+0.35(x-20)

We have to find the number of solutions.

To find the number of solutions we have to solve the equation for the value of variable x. Equation is often solved to find the value of variables.

Equation : 0.75(x+40)=0.35(x+20)+0.35(x-20)

Opening the brackets and multiply the numbers outside by the numbers in the bracket.

0.75x+30=0.35x+7+0.35x-7

Take all the numbers having same variables at one end of equal to.

0.75x-0.35x-0.35x=7-7-30

0.75x-0.7x=-30

0.05x=-30

x=-30/0.05

x=-600

Which is the only value of x.

Hence the number of solutions of the equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is  one.

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help me help me ………….

Answers

Answer:

not similar

Step-by-step explanation:

not similar--it doesn't work out for the angles to be similar

if we find the angle x of the right-hand triangle, we can tell it would be 41 degrees

meaning that these triangles are not similar

Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Who can wash more dishes in 3 hours? And by how many?​

Answers

Answer:

1. Jamaal

2. 42 more dishes

Step-by-step explanation:

1. Jamaal: 25 dishes per hour and works for 3 hours

25(3) = 75 dishes

Daniel: Daniel can wash 22 dishes every two hours.

22 = 2x

11 = x

11(3) = 33 dishes

2. 75 - 33 = 42

Jamaal can wash 42 more dishes than Daniel.

Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Jamaal washed 42 more dishes than Daniel in 3 hours.

Let's calculate the number of dishes washed by each person in 3 hours and then compare the results.

Jamaal:

Jamaal washes 25 dishes per hour and works for 3 hours.

Number of dishes washed by Jamaal in 3 hours = 25 dishes/hour * 3 hours = 75 dishes

Daniel:

Daniel washes 22 dishes every two hours.

To find the number of dishes washed by Daniel in 3 hours, we need to find how many times he washes dishes in 3 hours.

Number of times Daniel washes dishes in 3 hours = 3 hours / 2 hours (time for 1 cycle) = 1.5 cycles

Now, multiply the number of cycles by the number of dishes washed per cycle:

Number of dishes washed by Daniel in 3 hours = 1.5 cycles * 22 dishes/cycle = 33 dishes

Comparison:

Jamaal washed 75 dishes in 3 hours.

Daniel washed 33 dishes in 3 hours.

Now, let's find the difference in the number of dishes washed by each person:

Difference = Jamaal's dishes - Daniel's dishes

Difference = 75 dishes - 33 dishes = 42 dishes

Therefore, Jamaal washed 42 more dishes than Daniel in 3 hours.

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sk...
What is as for the geometric sequence 6, 561; -2, 187; 729; -243;....
A. 1
B. -3
C. -9
D. -1

Answers

Option B is the answer. The term for the geometric sequence that we have here is -3.

How to solve for the geometric sequence

We have u1, u2, u3 = a, ar, ar², ar³

From here we have to find the common ratio that is used to divide the sets of numbers

6,561 divided by −2,187 = -3

Hence when we go further each of the value when divided by -3 gives the next value.

Hence the value for the geometric sequence is -3.

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What is the volume of the solid?

Answers

Answer: C. 3052,08 cm³.

Step-by-step explanation:

D=18 cm       V=?

[tex]R=\frac{D}{2} =\frac{18\ cm}{2} =9\ cm.\\\boxed {V=\frac{4}{3}*\pi *R^3 }\\V=\frac{4}{3}*\pi *9^3 \\V=4*\pi *3*9^2\\V=12*81*3,14 \\V=3052,08\ (cm^3).[/tex]

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) -4 = 0 as a quadratic equation?
Ou= (x + 5)
Ou= (x-5)
u = (x + 5)²
O u =(x-5)²

Answers

The substitution that should be used to rewrite the equation is u = x+5, the correct option is A.

What is a Quadratic Equation?

The polynomials of the 2nd degree are called Quadratic Equations.

It has a general form as ax² +bx+c=0

To rewrite the expression as a quadratic equation  

6(x+5)² + 5(x+5)-4 = 0

=6(x+5)(x+5)+5(x+5)-4

=6(x² + 5x + 5x + 25)+5(x+5)-4

=6(x²+10x+25) + 5(x+5) - 4 = 0

=6x² + 60x + 5x + 150 + 25 - 4 = 0

=6x² + 65x + 171 = 0

This is the quadratic equation of the form ax² +bx+c=0

but if directly it has to be written in this ax² +bx+c=0 form , it can be written by substituting u = (x + 5)

6(x+5)² + 5(x+5)-4 = 0

6u²+5u-4 = 0

Therefore, the substitution that should be used to rewrite the equation is u = x+5, the correct option is A.

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Find the length of JH help pls

Answers

Answer:

c) 19

Step-by-step explanation:

To find the length of JH, subtract the length of HM from JM.

Length of JH = JM - HM

                      = 40 - 21

                      = 19

Answer:

JH = 19

Step-by-step explanation:

from the diagram

JH + HM = JM , that is

JH + 21 = 40 ( subtract 21 from both sides )

JH = 19

What is 30% off $60?

Answers

Answer:

$18

Step-by-step explanation:

Simply just multiply 30/100 with 60 = (30/100)*60 = (30*60)/100 = 18

The value of 30% off $60 is number 18.

To calculate a 30% discount off $60, you can follow these steps:

Convert the percentage to a decimal:

30% is equal to 0.30.

Multiply the original price by the decimal:

$60 × 0.30

= $18.

Therefore, a 30% discount off $60 would be $18.

The discounted price would be $60 - $18 = $42.

Hence, the value of 30% off $60 is 18.

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hey i need help with this question im stuck on it, thanks

Answers

Answer:

I believe the graph went 3 units up

Step-by-step explanation:

Evaluate the following expressions by substituting s = 10 and t = 2.
3t2s.
1. 110
2. 120
3. 100
4. 130

Answers

Answer:

2. 120

Step-by-step explanation:

3t2s

Replace variables t and s with 2 and 10

3 x 2 x 2 x 10

6 x 20

=120

So the answer is number 2. 120

The answer is 120 honey

How many ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled

Answers

The number of ways is 497420

The ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled is [tex]22_{C_9}[/tex]

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

22C9 = 22! /(9!*13!) = 497420

Thus, In 497420 ways the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled.

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URGENT!!!
A solution of 51% fertilizer is to be mixed with a solution of 26% fertilizer to form 250 liters of a 50% solution. How many liters of the 51% solution must be used?​

Answers

We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.

How to prepare a solution by using weighted averages

Herein we have to prepare a solution with fertilizers by mixing two different solutions. The amount needed of the 51 % solution can be found by weighted averages:

(50/100) · (250 L) = (51/100) · x + (26/100) · (250 - x)

50 · 250 = 51 · x + 26 · 250 - 26 · x

24 · 250 = 25 · x

x = 240

We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.

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HELPPPP ASAP !!

Write a compound inequality that represents the given graph

Answers

Answer:

x <= -2 or x >= 3

Step-by-step explanation:

Shaded circles represent <= or >=, and the first arrow points left from -2, and the second arrow points right from 3. Therefore x <= -2 or x >= 3 would represent the graph.

a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken​

Answers

Answer:

36 - x

Step-by-step explanation:

a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken​

3 * 12 - x =

36 - x

Change 9% to fraction? ​

Answers

9/100

Step-by-step explanation:

[tex]9\% = \frac{9}{100} [/tex]

♨ANSWER♥

9% as a Fraction is 9/100

...hope this helps...

_♡_mashi_♡_

A machine that is programmed to package 1.50 pounds of cereal is being tested for its accuracy in a sample of 56 cereal boxes, the sample mean filling weight is calculated as 1.52 pounds. The population standard deviation is known to be 0.06 pounds. Find the 95% confidence interval for the mean.

Answers

The 95% confidence interval for the mean is (1.535, 1.504).

It is given that a machine produces 1.50 pounds of cereal. The sample is 56 cereal boxes. The sample mean filling weight is calculated as 1.52 pounds. The population standard deviation is known to be 0.06 pounds.

Mean = 1.50 pounds

x = 1.52 pounds

Standard deviation = SD = 0.06 pounds

n = 56

We need to find the 95% confidence interval for the mean.

So, z = 1.96

So, the confidence interval would be

[tex]x[/tex]±[tex]z\frac{mean}{\sqrt{n} }[/tex]

[tex]1.52[/tex]±[tex]1.96*\frac{0.06}{\sqrt{56} }[/tex]

= [tex]1.52[/tex]±[tex]1.96*0.00801[/tex]

= [tex](1.52 + 0.0156996),(1.52 - 0.0156996)[/tex]

= [tex](1.535, 1.504)[/tex]

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A principal amount of $3000 is invested for 3 years at 4% compounded semi-annually. Use the compound interest formula to determine how much interest was earned on the investment.

Answers

The $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here,

P = $3000

r = 4% = 0.04

n = 2

t = 3 years

After plugging all the values in the formula:

[tex]\rm A = 3000(1+\dfrac{0.04}{2})^{2\times 3}[/tex]

After solving:

A = $3,378.49

I = A - P = 3,378.49 - 3000 = $378.49

Thus, the $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.

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Can someone help? ASAP Find each missing length, give all answers in simplest radical form

Answers

I don’t know the answer I need point because this app makes me answer these when I don’t know them just for me to get them wrong and not be able to do them correct and fail just y=mx+b it is 6 and 7

Simplify
1) 9/7+1/6
2) 1 1/6- 2 1/5
3) 4/7x8/4
4) 4/7* 8/4
you answer fast and correct I will mark you as a brainliest

Answers

Answer:

1 19/42

- 1 1/30

3&4 are both 1 1/7

Step-by-step explanation:

1) 1 19/42
2) -11/30
3) 1 1/7
4) 1 1/7

pls helpppp!!!!!!
What kind of compound inequality is….>>>>>look at pic

Answers

Answer:

  (d)  intersection

Step-by-step explanation:

When given two inequalities, you must determine whether the solution set must satisfy both, or must satisfy either. The key is found in the conjunction associated with the inequalities.

Conjunction

Here, the conjunction is "and," which means the solution must satisfy both inequalities. It also means, the solution set will be the intersection of the solution sets of the different inequalities.

The attached number line shows the first solution set in red, the second solution set in blue, and the "and" (intersection) of those in purple.

The conjunction "or" will signify the solution set is the union of those of the separate inequalities.

A stack of 100 nickels has a height of 6.25 inches. What is the value, in dollars, of an 8-foot stack of nickels

Answers

The value of nickels is $76.80.

The height of each nickel is 6.25 / 100 = 0.0625 inches.

Divide 8 feet by 0.0625 inches to find that there are

8×12 / 0.0625 = 1536 nickels in an 8 ft stack.

Their value is $76.80.

Nickel is a chemical detail with the symbol Ni and atomic range 28. It is silvery-white lustrous steel with a mild golden tinge. Nickel belongs to the transition metals and is hard and ductile.

Pure nickel, powdered to maximize the reactive surface vicinity, indicates a widespread chemical interest, but large pieces are slow to react with air underneath fashionable conditions because an oxide layer paperwork at the floor stops further corrosion (passivation).

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Sharon drops a rubber ball from 160 feet every bounce sends the ball half as high as it was before. What is the total distance the ball has traveled from the moment it is dropped until it hits the floor for the fourth time

Answers

The total distance the ball has traveled from the moment it is dropped until it hits the floor for the fourth time is: 300 feet.

Total distance

First  bounce

160 feet

Second bounce

= 1/2×160 = 80 feet

Third bounce

= 1/2×80 = 40 feet

Fourth bounce

= 1/2×40 = 20 feet

Hence:

Total distance= (160 feet+ 80 feet + 40 feet+20 feet

Total distance= 300 feet

Therefore the total distance traveled by the ball is 300 feet.

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Heelp for 20 points!!

Answers

The slope intercept form is written as: y= mx+b

where m is slope and b is the y-intercept

Here m is 1/5 and -8 is b

So, 1/5 and -8

Hope it helps!

Oder the following expressions

Answers

a +(- c) :

a is -1 and c is 3, so it would be:
-1+(-3) = -4



c-(-b) :

c is 3 and b is 2, so it would be:
3-(-2) = 5



b :
b is 2 and there’s no addition or subtraction that needs to be done here


we have -4, 5, and 2 and going from least to greatest it’s : -4 < 2 < 5

so just look at which values gave us those answers and that would be:
a+(-c) < b < c-(-b)

so the final answer is a+(-c) < b < c-(-b)

a customer buys 3 cappuccinos that costs $2.54 each and a bottle of water that costs $0.76 she gives the shop assistant $20 how much change should she receive​

Answers

Answer:

$11.62

Step-by-step explanation:

2.54×3=$7.62

0.76+7.62=8.38

20-8.38=$11.62

Answer:

Step-by-step explanation:

Discussion

3 cappuccinos at 2.54 each     2.54 * 3 = 7.62

1 bottle of water at 0.76              0.76*1  =   .76     Add

Total                                                             8.38

Change = 20 - 8.38 = 11.62

Answer

She should receive 11.62 in change.

Graph the function.
f(x)=5\cdot\left(\dfrac{4}{5}\right)^xf(x)=5⋅(
5
4

)
x
f, left parenthesis, x, right parenthesis, equals, 5, dot, left parenthesis, start fraction, 4, divided by, 5, end fraction, right parenthesis, start superscript, x, end superscript

Answers

Answer:

Please review my interpretation of the written expression.

Step-by-step explanation:

f(x) = 5*(4/5)^x    :  Is this correct?

If so, see attached graph.

One can calculate several points and then draw the graph, or use an online, and free, graphing app (DESMOS in this case).

Since the exponent is the variable, I'll pick a few vaules that are easy (for me) to calculate:

f(0) = 5*(4/5)^0

Anything raised to the 0th power is equal to 1, so we get 5*1 or 5 to make the point (1,5).

When x = 1, the fraction (4/5) remains (4/5) and when multiplied by 5, reduces to simply 4.  The second point is (1,4)

For the last point, I chose x to be 10.  5(4/5)^10 becomes 0.5.  The third point is (10,0.5)

We can see the line approaches 0 as x increases.

simplify 4(x+7)-7-x+2

Answers

Answer: 3x + 23

it should be right!

Answer:

3x + 23

Step-by-step explanation:

To simplify this expression, the first thing we have to do is distribute the 4 outside the parentheses. This gives us 4x + 28 - 7 - x + 2. Now, we can combine like terms (those that have variables and those that don't) to get 3x + 23

Volume=
What is the volume?
Please help thank you

Answers

904.78 if you have to round it’s 904.8

Answer:

288π

Step-by-step explanation:

The volume of a sphere can be evaluated by using the following formula:

[tex]A=\frac{4}{3}\pi r^{3}[/tex]

We are given that the radius is 6, so we can plug into the formula to solve:

[tex]A=\frac{4}{3}\pi*6^{3} =\frac{4}{3}*216*\pi =288\pi[/tex] (216/3 is 72, and 72*4 is 288)

Therefore, the volume is exactly 288π. The approximate answer, if you let π be 3.14 and evaluate it out, is around 904.78

There are 12 pupils in a class.
They are each asked whether they have a brother or a sister.
9 say they have a brother.
7 say they have a sister.
2 say they have neither.

Fill in the Venn diagram
& = class of 12 pupils
B= pupils who have a brother
S= pupils who have a sister

Answers

Answer:

Circle B: 3

Both circle B + S: 6

Circle S: 1

Outside of box: 2

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