let's write 2*2*2*2*2*2*2*2*2 in exponential form.
Notice 2 has been multiplied times itself 9 times.
Basic exponential notation:-
[tex]\sf{2*2=2^2}[/tex]
[tex]\sf{2*2*2=2^3}[/tex]
[tex]\sf{2*2*2*2=2^4}[/tex]
You should notice a pattern.
This is the pattern:-
The number of times 2 has been multiplied times itself is the exponent.
In this case, we multiplied 2 times itself 9 times.
Hence, the answer is
[tex]\bigstar{\boxed{\pmb{2^9}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
How can you visually compare data from two samples that are displayed in box plots?
Answer:
The median of the 7th grade sample is greater than the 6th grade one. The 7th grade sample has greater variability.
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.
1. Which surface is shared by the two solids? What are the dimensions of this surface?
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:
twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square
4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.
Oh and here's an image to help you out
Answer:
1. Base of pyramid; 6 in by 6 in
2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.
3. twice the area of the square
4. Area = 228 inches squared
Step-by-step explanation:
For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.
Step 1. Add all surface areas togetherPrism: 6 surfaces
Surface area = 216 inches sq
Front = 6 x 6 = 36 Back = 6 x 6 = 36Top = 6 x 6 = 36Bottom (base) = 6 x 6 = 36Side = 6 x 6 = 36Other side = 6 x 6 = 36Pyramid: 5 surfaces
Surface area = 84 inches sq
Bottom (base) = 6 x 6 = 36Front triangle = (6 x 4)/2 = 12Back = (6 x 4)/2 = 12Side = (6 x 4)/2 = 12 Other side = (6 x 4)/2 = 12TOTAL surface area: 216 inches + 84 inches = 300 inches sq
Step 2. Subtract surfaces that are NOT being painted300 - base of pyramid - base of prism
300 - 2(36)
300 - 72
228 inches sq
Hope this helps!
14. Classify Each Angle Pair then find the value of X
What is the value of x in the equation 6(x+7.8) =−12?
Answer:
x = -9.8
Step-by-step explanation:
6(x+7.8) =−12
Divide each side by 6
6/6(x+7.8) =−12/6
(x+7.8) =−2
Subtract 7.8 from each side
x+7.8-7.8 = -2-7.8
x = -9.8
Answer:
-9.8
Step-by-step explanation:
First we distribute.6x+46.8=-12Subtract 46.8 on both sidesWe are left with 6x=-58.8Divide 6 on both sidesX=-9.8The temperature of a freezer is never greater than -2 degrees Celcius. Yesterday the temperature was -10 degrees Celcius, but it increased at a steady rate of 1.5 degrees Celcius per hour. How long in hours and minutes did the temperature increase to -2 degrees Celcius?
WILL PICK BRAINLIEST
Answer: 8 hours
Step-by-step explanation: Maths bro
What is the distance from the shore to the waterfall in the image of the koi pond shown below? All measurements are in yards. Round to the nearest hundredth if needed.
3 yards
99.72 yards
13.8 yards
6.43 yards
Answer:
6.43 yards
Step-by-step explanation:
a²+b²=c²
x²+5.4²=8.4²
x²+29.16=70.56
-29.16 -29.16
x²=41.4
x=6.43
Add rational expression
Please show steps to answer
Answer:
(5x^(2)-10x+1)/((x+2)(x-2))
Please answer i need help
Answer:
I belive the awnser is B or D
Step-by-step explanation:
if you add 1/8 + 1/4 it is 3/8
B does look like it is in proper format so that may be the answer
(sorry if I was no help)
Answer: The first option
Explanation:What we know:
1 mile is equal to 5,280 feetThe length of the fence is 1/4 mileThe width of the fence is 1/8 mileHow to solve:
By finding the perimeter of the fence in feet, we can check that value against the 4 proportion options listed in the problem. Whichever is true will be the correct answer.
Process:Perimeter - in feet
Where P is perimeter in miles, x is perimeter in feet, w is width in miles, and L is length in miles.
Set up equation P = 2w + 2L
Substitute P = 2(1/8) + 2(1/4)
Simplify P = 2/8 + 2/4
Common denominator P = 1/4 + 2/4
Simplify P = 3/4 mi.
Translate x = (3/4)*5280
Simplify x = 3960 ft.
For the following: Where m represents the mile unit, f represents the foot unit, and x represents the number of feet of fencing.
First option
Set up equation (3/4)m/x = m/5280f
Equal variables 16[(3/4)m/x) = 12[m/5280f]
Simplify 12m/16x = 12m/63360f
Remove miles 16x = 63360f
Isolate x variable /16 /16
Solution x = 3960 ft.
Second Option
Set up equation (3/8)m/x = m/5280f
Equal variables 64[(3/8)m/x] = 24[m/5280f]
Simplify 24m/64x = 24m/126720f
Remove miles 64x = 126720f
Isolate x variable /64 /64
Solution x = 1980 ft.
Third Option
Set up equation x/(3/4)f = m/5280f
Equal variables 7040[x/(3/4)f] = m/5280f
Simplify 7040x/5280f = m/5280f
Remove feet 7040x = m
Translate 7040x = 5280f
Isolate x variable /7040 /7040
Solution x = (3/4)f
Fourth Option
Set up equation x/(3/8)f = m/5280f
Equal variables 14080[x/(3/8)f] = m/5280f
Simplify 14080x/5280f = m/5280f
Remove feet 14080x = m
Translate 14080x = 5280f
Isolate x variable /14080 /14080
Solution x = 3/8f
Answer: The first proportionCheck:
If the perimeter of the fence, in feet, is the first option, then when
x = 3960, the number of miles and feet should be equal. Let's test this.
(3/4)m/x = 1
(3/4)m/3960f = 1
(3/4)(5280f)/3960f = 1
3960f/3960f = 1
1 = 1
Therefore, option 1 is correct.
What is the volume of this right prism?
720 in³
780 in³
1440 in³
1560 in³
Answer:
720in.^3
Step-by-step explanation:
Find the area of the base (60in^2) and multiply it by the length of the prism (12) to get 720in.^3
Answer: 720 in³
Step-by-step explanation: that one person was right
A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.
Answer:
2/6 percent chance
Step-by-step explanation:
Because rolling the dice 3 times will give you the fraction 2/6.
In a year, there are 4 months that have 30 days.
There are 12 months in a year.
For fun: Thirty days hath September, April, June and November. All the rest have thirty-one, Excepting February alone, And that has twenty-eight days clear And twenty-nine in each leap year.
What is the ratio of the months with 30 days to the months with other than 30 days? In simplest form.
1 to 2
1 to 3
2 to 1
3 to 1
Hans gave 4 people candy. He split 7/8 pounds among them. What is the unit rate in pounds per person? Write your answer in simplest form.
Please help!!! I will give brainliest. Just please try your best.
Answer:
A: 7:10:13:6:14 B: 14:7:10:6:13
Step-by-step explanation:
These are the answers I got. Hope it helps
If this was helpful please give a thank you and a brainliest!
You have 5 green marbles, 6 red marbles, 1 white marble and 3 yellow marbles in a bag. What is the probability of selecting a non-white ball?
Answer:
I would say 98% chance
Step-by-step explanation:
if this helps you pls give me brainliest
Answer:
green 5/15
red 6/15
white 1/15
yellow 3/15
the probability of selecting a non-white ball is 14/15
Step-by-step explanation:
Prism A is a dilation of Prism B. The height of Prism A is 612 ft, and the volume of Prism A is 8734 ft³. The height of Prism B is 314 ft.
What is the volume of Prism B?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft
Answer:
4481.17 ft
Step-by-step explanation:
ASAP question!
There are four sixth graders and seven seventh-graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs.
What is the theoretical probability of randomly drawing two sixth graders? What is the theoretical probability of randomly drawing two seventh graders?
Answer:
2 Six graders: 6/55 chance
2 Seventh graders: 21/55 chance
Step-by-step explanation:
Total: 11 students
6 graders: 4
4/11 for first student and 3/10 for second
4/11 * 3/10 = 12/110 = 6/55
7 graders: 7
7/11 for first student and 6/10 for second
7/11 * 6/10 = 42/110 = 21/55
The deli scale weighs meat and cheese in hundredths of a pound. Sam put 5/10 pound of pepperoni on the deli scale. What weight does the deli scale show?
Answer: If we simplify the given weight of the pepperoni, we divide the numerator by the denominator. The answer to the division is 5/10 or 0.5. Then, since the weight is asked in unit of hundredths, the final answer would be 2.5.Â
1# What is the side length of a square with an area of 1/16 square units?
2# What is the volume of a cube with edge lengths of 2/3 units?
3# What is the edge length of a cube with a volume of 27/64 cubic units?
Answer:
already answered
Step-by-step explanation:
go to this
https://brainly.com/question/14833666
Answer:
1: 8/27 cubic units
2: 3/4 cubic units
3: 1/4 units
Step-by-step explanation:
I did the research on my whiteboard :)
Can anyone pls help?
Answer:
The equivalent fractions will be 2:5 ard 12:30.
Step-by-step explanation:
Equivalent fractions simply mean the fractions that are the same or equal.
Based on the information given, the ratios that are equivalent to 4:10 will be:
4/10 = 2/5
12/30 = 2/5
20/8 = 5/2
8/30 = 4/15
Therefore, the equivalent ratios will be 2:5 and 12:30.
Learn more about fractions on:
brainly.com/question/2972832
Answer:
2 : 5 and 12 : 30
Step-by-step explanation:
you can find if two ratios are equivalent by multiplying or dividing both quantities by the same number.
Hence:
4 : 10 x 3 on both sides = 12 : 30
Also
4 : 10 divided by 2 on both sides = 2 : 5
Making these equivalent
The others don’t qualify since for:
8 : 30
You would have to multiply the 4 in 4 : 10 by 2, and the 10 by 3, so basically it can’t work.
For 20 : 8
You would have to multiply the 4 in 4 : 10 by 5 and yet divide the 10 by 1.25 which definitely doesn’t work because a, the number used to multiply/divide is the same, and b, because both sides have to be multiplied or divided, not just one each.
hope this helps :D
An exclusive clothing boutique triples the price of the items it purchases for resale.
The markup is 200%
Enter two expressions that represent the retail price of the clothes. Use c for your variable.
____ or ______
Answer:
Part 1: 300
Part 2: Refer to Step-by-step explanation.
Step-by-step explanation:
Part 1: Triples means multiplying by three, and percent means over 100. 300% means tripling.
300%
Part 2: I'm not sure what the problem means, but if it means the original price, then it is c/3 or 1/3c. If it is referring to the resale price, then it is 300%c or 3c.
Mario walked at a rate of mile every minutes.
What was his walking rate in miles per hour?
Answer: 4mi/h
Step-by-step explanation:
We have that Mario walks 2/3 of a mile every 10 minutes. Representing this as a fraction:
[tex]\frac{2/3}{10} \frac{mile}{minute}[/tex]
Next, you can use something called "dimensional analysis." A dimenision in this case would be the units. The desired units we want are miles per hour, but we are given miles per minute. You can use a few conversion factors to help get to those desired units. In 60 minutes, there is 1 hour. Let's multiply this conversion factor by our original fraction:
[tex]\frac{2/3}{10} \frac{miles}{minute}*\frac{60}{1} \frac{minute}{hour}[/tex]
As you can see above, the units of minutes will cancel. This will leave the units of miles on top, and hours on the bottom. Our units are now miles per hour after simplifying things:
[tex]\frac{2/3}{10}\frac{60}{1} \frac{miles}{hour}=2/3*6 \frac{miles}{hour}=4\frac{miles}{hour}[/tex]
YOU GET Brainliest IF YOUR RIGHT!!!!!!! HELPPPP
Answer:
3/10 is greater. and the bottom part is 30
Step-by-step explanation:
because 1/6= 0.2 and 3/10=0.3.
0.2>0.3 therefore 3/10 is greater.
and to find the common denominator you just have to list out the number of and 10.
6,12,18,24,30
10,20,30
as you can see 30 is the common denominator.
Find the area and perimeter of the shaded figure below.
Answer:
Area= 6
Perimeter= 10
Step-by-step explanation:
The area is length x width, which in this case would be 3 x 2, giving the area of 6.
The perimeter is length + length + width + width, which in this case would be 3 + 3 + 2 + 2, giving the perimeter of 10.
Hope this helps :)!
What is the surface area of the square pyramid?
Answer:
108.82
Step-by-step explanation:
if you were to roll the dice one time what is the probability it will NOT land on a 4?
Answer:
5/6 because there is six sides and you take away the 4 .
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
total no.of trials= 6 (because dice has six numbers )chances of not getting 4 is 5
hence the answer is 5/6
Wendy paints a rectangular wall that is 10.5 feet tall and 9.2 feet wide. What is the area of the wall that she paints?
Answer:
96.6
Step-by-step explanation:
We know that the Area of the rectangle is,
A =Length x width
So the Area of the wall painted by Wendy will be,
A = 10.5 x 9.2 = 96.6
So; the area painted by Wendy will be 96.6 square feet.
-Mark me brainliest and a 5 star :D
Im confused, how will i do 8d and 9c
=19 × 15
A= 285A=L×H
= 19×7
A= 133A = 285A = 133A = 152 (= Hope It Helps! =)
64+25220 Find the volume of each figure. Round your answers to the nearest whole, if necessar 20) 19) 5 yd 7 yd 8 yd 5 cm 6 cm 4 cm 8 yd 7 yd 4 cm 6 cm 3 con sum
Answer:
19) 280 cm³
20) 120 cm³
Step-by-step explanation:
v= l×w×h
19) 7×5×8 = 280
20) 6×5×4 = 120
Classify the pair of angles, then find the value of x.
(PLEASE HELP ME OUT!!)
Answer:
X = 55°
Step-by-step explanation:
You can tell if a pair of angles, in this case, is 90° if you see the red box in the corner of the angle.
The pair of angles in the picture are complementary angles, which add up to 90°. Therefore, subtract 35 from 90 to find the value of X which is 55°.
Hope this helped! <3
A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi
Answer:
In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].
Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
brainly.com/question/14283575
Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."