Choose the correct simplification of d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.

d9g20
1 over d to the 5th power times g to the 6th power
1 over d to the 9th power times g to the 20th power
d5g6

Answers

Answer 1
Correct answer would be d to the 5th power over g to the 6th power
Answer 2

Answer:

Option 4

Step-by-step explanation:

Given : d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.

To find : The correct  simplification

Solution :

d to the 7th power = [tex]d^7[/tex]

g to the 13th power = [tex]g^{13}[/tex]

d to the 7th power times g to the 13th power =  [tex]d^7\times g^{13}[/tex]

d to the 2nd power = [tex]d^2[/tex]

g to the 7th power = [tex]g^7[/tex]

d to the 2nd power times g to the 7th power =  [tex]d^2\times g^{7}[/tex]

According to question,

d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.

[tex]=\frac{d^7\times g^{13}}{d^2\times g^7}[/tex]

[tex]=d^{7-2}\times g^{13-7}[/tex]

[tex]=d^{5}\times g^{6}[/tex]

Therefore, Option 4 is correct.


Related Questions

A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?

Answers

There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph

There is a 3 hour difference in travel time.

So if x is the speed of the freight train and distance is 240 miles...

3(3x)-3x=240

9x-3x=240

6x=240

x=240/6

x= 40mph for the freight train..

passenger train is 3 times faster than the freight..

3×40=120mph

If SinA = 2/3, find the value of 2 secA/1+ tan2A

Answers

we have
SinA = 2/3
2 sec A/(1+ tan² A)

we know that
1+ tan² A = sec² A

substituting
2 sec A/(sec² A)--------- > 2 /sec A
remember that sec A=1/cos A
then
2 /sec A----------> 2 cos A

sin² A+cos² A=1-------> cos² A=1-sin² A-------> 1-(2/3)²

cos² A=1-(4/9)-----------> (9-4)/9-------------> cos² A=5/9 -------> cos A=(√5)/3
2 cos A=2*[(√5)/3)]=(2/3)√5

the answer is (2/3)√5

2 sec A/(1+ tan² A)=(2/3)√5


Which equation can be used to solve for x in the following diagram?

Answers

The answer for your problem is letter a x+(4 x-85)=90

The equation that represents the value of [x] is -

x + 4x - 85 = 90.

What is right angle? What is equation modelling? What is a mathematical equation and expression?In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or π/2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is a geometrical image as shown.

We can write the equation as -

x + 4x - 85 = 90

Therefore, the equation that represents the value of [x] is -

x + 4x - 85 = 90.

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Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.

Answers

The maximum mass that elevator can lift is 2100 pounds. This means that mass must be equal to that or less than that. If we use m for allowed mass we can write this as:
[tex]m \leq 2100 pounds[/tex]

The  graph is given on the picture. The blue line marks maximum allowed mass, the red line marks actual mass. Grey part contains all allowed values of a mass.

Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase.

Which expressions represent the total number of flowers Sarah will put in all the vases?

Choose all answers that are correct.

a. 10 *(15+f) b. 10+15+f c. (10*15)+(10*f) d. 10*(15*f)

Answers

A is correct because the f represents the lilies and then you add the 15 because that is how much roses there are going to be. Lastly just multiply the ten that will give you the answer

Which side lengths form a right triangle?
Choose all answers that apply:
(Answers in picture)

Answers

Final answer:

Option (C). 2, 2, √8, forms a right triangle.

Explanation:

A right triangle is a triangle that has one angle measuring 90 degrees.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Therefore, to determine if a set of side lengths forms a right triangle, we can check if the sum of the squares of the two shorter sides is equal to the square of the longest side.

Option A: 4, 8, 12
4^2 + 8^2 = 16 + 64 = 80
12^2 = 144
The sum of the squares of the two shorter sides is not equal to the square of the longest side. Therefore, this does not form a right triangle.Option B: 2, 3, √5
2^2 + 3^2 = 4 + 9 = 13
(√5)^2 = 5
The sum of the squares of the two shorter sides is not equal to the square of the longest side. Therefore, this does not form a right triangle.Option C: 2, 2, √8
2^2 + 2^2 = 4 + 4 = 8
(√8)^2 = 8
The sum of the squares of the two shorter sides is equal to the square of the longest side. Therefore, this forms a right triangle.

Based on the calculations above, only option C, 2, 2, √8, forms a right triangle.

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The correct answer is: C. [tex]\(2, 2, \sqrt{8}\)[/tex]

Step 1

To determine which sets of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 2

Let's check each option:

A. [tex]\(4, 8, 12\)[/tex]

- [tex]\(4^2 + 8^2 = 16 + 64 = 80\)[/tex]

- [tex]\(12^2 = 144\)[/tex]

- [tex]\(80 \neq 144\)[/tex]

Therefore, option A does not form a right triangle.

Step 3

B.[tex]\(2, 3, \sqrt{5}\)[/tex]

- [tex]\(2^2 + 3^2 = 4 + 9 = 13\)[/tex]

- [tex]\((\sqrt{5})^2 = 5\)[/tex]

- [tex]\(13 \neq 5\)[/tex]

Therefore, option B does not form a right triangle.

Step 3

C. [tex]\(2, 2, \sqrt{8}\)[/tex]

- [tex]\(2^2 + 2^2 = 4 + 4 = 8\)[/tex]

- [tex]\((\sqrt{8})^2 = 8\)[/tex]

- [tex]\(8 = 8\)[/tex]

Therefore, option C forms a right triangle.

a varies directly as b and inversely as the square of c. If a = 197 when b = 5 and c = 5, find a if b = 3 and c = 3

Answers

Final answer:

The value of 'a' is found to be approximately 328.33 when b = 3 and c = 3, using the constant of proportionality obtained from the given values a = 197 when b = 5 and c = 5.

Explanation:

When a quantity varies directly as another quantity and inversely as the square of a third quantity, we can express this relationship with the following equation:

a = k x (b / c2)

where k is the constant of proportionality. Given that a = 197 when b = 5 and c = 5, we can solve for k:

197 = k x (5 / 52)

197 = k x (5 / 25)

197 = k / 5

k = 197 x 5

k = 985

Now we can use this value for k to find a when b = 3 and c = 3:

a = 985 x (3 / 32)

a = 985 x (3 / 9)

a = 985 x (1/3)

a = 328.333...

Hence, the value of a, when b = 3 and c = 3, is approximately 328.33.

Which relationship describes angles 1 and 2?

Select each correct answer.


complementary angles

adjacent angles

supplementary angles

vertical angles

Answers

The answer to this is Complementary Angles. 
Its
complementary angles and
supplementary angles

Please help,I don’t get this and my friends also need your help

Answers

STEP 1:
Add the number of total students
= 27+25+23
=75


STEP 2:
Find the percentage that 18 out of 75 students is.

18/75=x/100

cross multiply
(18*100)=(75*x)

1800=75x
divide both sides by 75
24%=x

Check:
75 * 24%= 18

Hope this helps! :) Good luck!

Hey please please please please please help have a Struggling with this all day

Answers

If the side lengths are all 6 units, then the surface area and volume are the same

surface area = 6*s^2 = 6*6^2 = 216
volume = s^3 = 6^3 = 216

You can find this by solving s^3 = 6s^2 for s to get s = 0 or s = 6. The solution s = 0 is trivial so you can ignore it.

The picture below shows a container that Sue uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 6 centimeters. What is the minimum number of identical containers that Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.) (1 point) 12 18 27 7

Answers

Answer:

[tex]27\ containers[/tex]

Step-by-step explanation:

step 1

Find the volume of one container (cylinder) is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter

[tex]h=6\ cm[/tex]

substitute

[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]

step 2

By proportion

Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice

[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]

Round to the nearest whole number

[tex]26.5=27\ containers[/tex]

Answer: 27

Step-by-step explanation:

Given: The height of the cylindrical container = 6 cm

Diameter of container = 4 cm

Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm

Now, the volume of the cylindrical container is given by :-

[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]

Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-

[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]

Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.

An arrow shot into the air is 160t -16^2 feet above the ground t is seconds after it is released. During what period of time is the arrow above 384 feet?

Answers

We know that the equation would have to equal 384 in this sense.
160t-16²=384; We want to find t, so we have to have t by itself.
160t-256=384
+256
160t= 640
640÷160=4=t
Let's make sure t is 4, so let's plug it in.
160(4)-16²=384
640-256=384
384=384
So, at 4 seconds, the arrow was above 384 feet.

NEED HELP ASAP need help with number 2

Answers

21/5.2
because in order to get mean you have to add all the numbers up and divide by the amount you added so 20+28+26+26+30+24+25+26+28+27= 210 divide by 10= 21 
in order to get mad you take all the numbers and subtract them from the mean (what ever you get make sure the number is positive) so 21-20=1 28-21=7 and so on then add up the numbers and divide again to get 52 divide that by 10 and you get 5.2
because it is means to mad ratio the answer is 21/5.2

Lucy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lucy
$5.75

per pound, and type B coffee costs
$4.10

per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$819.55

. How many pounds of type A coffee were used?

Answers

Answer:

I think it is $204.88, but I'm not positive.

Step-by-step explanation:

819.55 divided by 4

ANY NICE PERSON WANA SOLVE DIS?

3 sqrt 125x^10y^13+^3 sqrt 27x^10y^13

Answers

Answer:

Simplify each term.

Rewrite 125x10y13 as (5x3y4)3(xy).

Step-by-step explanation:

5x3y43√xy+3√27x10y13

Rewrite 27x10y13 as (3x3y4)3(xy).

Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy

i think.

The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]

Simplifying

[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]

Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].

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This is LCM and GCF I think

Answers

yes it is LCM and GCF because you are trying to a factor that they both have
15.

Work:
O’Leary|| 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Jones|| 6, 12, 18, 24, 30, 36, 42, 48, 54
The LCM is 30, so in 30 days they will go shopping together again.

16.

Work:
Hot Dogs|| 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Hot Dogs w/ buns|| 10, 20, 30, 40, 50, 60, 70
The least number of hot dogs with a bun that Riley can make without having any supplies left over is 40.

Please answer This with the Right anawer

Answers

The base area is (1.5 cm)^2 = 2.25 cm^2.

The lateral area is
.. 4*(1/2)*(1.5 cm)*(3 cm) = 9 cm^2

The total area is (2.25 +9) cm^2 = 11.25 cm^2 . . . . . 2nd selection

A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height of the smaller box is 80% of the height of the lager box,while the other two dimensions are the same for both boxes.What is the difference in the volumes of the two boxes?

Answers

We will take the volume of each box separately to find the difference between them.
 We have then that the volume of the boxes is:
 V = (L) * (W) * (h)
 Where,
 L: long
 W: width
 h: height
 The smaller box:
 V1 = (12) * (2) * (7 3/4)
 V1 = 186 in ^ 3
 the lager box:
 V2 = (12) * (2) * ((7 3/4) * (100/80))
 V2 = 232.5 in ^ 3
 The difference is:
 V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3
 Answer:
 The difference in the volumes of the two boxes is:
 46.5 in ^ 3

Answer: The answer is 232.5

Step-by-step explanation:First you to set up the proportion. If 80% equals to 12. You Would do 80 over hundred becuase percent is out of hundred (80/100) then you would do 12 over x or any other variable. FROM there on you would to the butter fly method. Cross multiply . ( 80 times variable, 12 times 100) now to isolate the variable you have to do inverse operation. So now do 1200 divided by 80 . And 80 divided by 80. Now you know.

X=15.

But were no done yet lol. Now do length times width times height to get the volume. 15 times 2 times 31/4 (7 3/4) . now we're done. Your welcome

Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer to Exercise 1?

Answers

Answer:

more than my Ans

The sun of 2 and 3 is less than y.

Answers

2 + 3 < y 

2 + 3 = 5

5 < y

Hope I helped!

~ Zoe

Given the function
h
(
x
)
=
x
2

7
x
+
7
h(x)=x
​2
​​ −7x+7, determine the average rate of change of the function over the interval
2

x

9
2≤x≤9.

Answers

Sometimes I find it easier to let a calculator evaluate the function for me. The average rate of change is the change in output value divided by the change in input value. That is
.. average rate of change = (f(9) -f(2))/(9 -2)
For this function, this evaluates to
.. average rate of change = (25 -(-3))/(9 -2) = 28/7 = 4


_____
The graph shows the two points of interest connected by a line of slope 4, verifying our value for the average rate of change.
Final answer:

The average rate of change of the function h(x) = x² - 7x +7 over the interval 2 ≤ x ≤ 9 is 4.

Explanation:

The average rate of change for a function is determined by the difference in y values divided by the difference in x values over a specified interval. In this case, the function is h(x) = x² - 7x + 7, and the interval is 2 ≤ x ≤ 9. First, we calculate h(2) and h(9) for the y values.

h(2) = (2)² - 7(2) + 7 = 4 - 14 + 7 = -3

h(9) = (9)² - 7(9) + 7 = 81 - 63 + 7 = 25
Then, apply the formula for average rate of change which is (h(9) - h(2)) / (9 - 2).

(25 - (-3)) / (9 - 2) = 28 / 7 = 4

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What answers factor the expression 24y + 88x

Answers

8(3y+11x) Would be your answer my friend
The answer would be 8(3y+11x)

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)} Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function. Select all ordered pairs that could be used to show that this claim is incorrect.
A. (–10, –10)
B. (–9, –6)
C. (–5, 1)
D. (1, 12)
E. (4, 7)

Answers

B. (–9, –6) 
C. (–5, 1) 
D. (1, 12) 

Remember that no two x's can be the same in a function.

(-9, -6) (-5,1 ) (1,12) ordered pairs that could be used to show that this claim is incorrect.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given ordered pairs are {(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

minus nine comma one,

minus five comma two

zero comma seven

one comma three

six comma minus ten

If Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

Then we can replace with (-9, -6) (-5,1 ) (1,12) to make it incorrect. Two x values should not have same value.

Hence (-9, -6) (-5,1 ) (1,12) ordered pairs that could be used to show that this claim is incorrect.

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Which word best describes the numbers 10 and –10?

Opposites

Coordinate

Absolute Value

Expression

Answers

Opposites because one is positive and one is negative.
opposites because they are opposite from each other.

also because one is on the positive side and the other is on the negative side

hope this helps! :)

Wilma bought a skateboard for 20% off. The normal price was 120.90. How much did Wilma pay for the skateboard, not including tax?

1) $96.72

2) $97.82

3) $98.92

4) $99.02

Answers

The answer is 96.72

I really need help on this!! God bless you!!

Answers

The answer is C. (5,-3)
The answer is c (5,-3)

The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144.08. Each bucket costs $2.89, each brush costs $7.91, and each towel costs $0.36.

PART B: What is the total cost, in dollars, of the case of air fresheners? Explain/justify your answer.

Answers

5 buckets at $2.89 = 5($2.89) = $14.45
10 brushes at $7.91 = 10($7.91) = $79.10
48 towels at $0.36 = 48($0.36) = $17..28

These three added together makes $110.83.  This leaves us $144.08-$110.83=$33.25 for the cost of the case of air fresheners.

The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the wheel does not slip.
1,506.4 meters
753.6 meters
376.8 meters
240 meters

Answers

First we need to find the circumference
C= 2 pi r or C= d*pi
d=2 m
C=2*3.14=6.28
distance traveled=6.28 m*120=753.60 m

The approximate distance the chariot travels is 753.6 meters.

What is the distance the chariot travels?

The distance the chariot travels in one journey is equivalent to the circumference of the wheel.

Circumference of a circle = πD

Distance in 120 trips = πD x 120

3.14 x 2 x 120 =  753.6 meters.

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The graph of the function f(x)=3/x+5 is shown below.
What is the vertical asymptote of the function?
A. x = –5
B. x = –3
C. x = 3
D. x = 5
A is the answer

Answers

The vertical asympote is the value of x that makes the denominator equal to zero:
x+5=0
Solving for x:
x+5-5=0-5
x=-5

The vertical asymptote is x=-5

Answer: Option A. x=-5

The vertical asymptote of the function f(x) = (3/x) + 5 is A. x = - 5

What are asymptotes?

A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.

By observing the graph we can conclude that the asymptote or more specifically the vertical asymptote of the function f(x) = (3/x) + 5 is at x equals to - 5.

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Zach is filling his dogs bowl with water. Is it reasonable to say that Zach will need about 4 gallons of water?

Answers

No, that would not be reasonable to say.

If you were filling some buckets, you could say 4 gallons, but we’re talking about a bowl and at the most that will take just a few cups.

I hope this helps and please let me know if you need further explanation!
~Brooke❤️
If the question only gives you this information, then I think is not reasonable to say that Zach needs 4 gallons of water. I don't think any dog's bowl is large enough that needs 4 gallon of water to fill it up. Plus, there's no any other information such as why specifically requires 4 gallons instead of x (other numbers) gallons.
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