Answer:
[tex]a^-^7[/tex]
Step-by-step explanation:
[tex]\frac{a^{-13}}{a^{-6}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=a^{-13-\left(-6\right)}[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=a^{-13+6}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]
[tex]=a^{-7}[/tex]
Answer [tex]=a^{-7}[/tex]
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A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet
The side length of the cube is 13 feet.
We have given that
Lateral area of a cube = 676 square feet
We have to determine the side length of the cube
So here we use the formula of the lateral surface area of the cube.
What is the formula for Lateral surface area?[tex]L=4side^2[/tex]
L=676,and side =a
[tex]676=4a^2[/tex]
divide both side by 4
[tex]\frac{676}{4}=a^2[/tex]
[tex]169=a^2[/tex]
Taking square root on both side of equation we will get
[tex]13=a[/tex]
Therefore, Side length of the cube is 13 feet.
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Answer:
13
Step-by-step explanation:
i Want to ask about linear equation
Answer:
what do you want to know about linear equation?
HELP PLEASE WILL GIVE BRAINLISET
Answer:
300 calories
Explanation:
ran total : 11,775 feetperimeter of circle : 2 π rHere radius:
diameter/2150/275 ftperimeter of track = 2 π r = 2 (3.14) (75) = 471 ft
total laps ran:
11,775/47125 lapsSo calories burnt:
25* 12300 caloriesAnswer:
300 calories
Step-by-step explanation:
Circumference of a circle = πd
(where d is the diameter)
Given:
d = 150 ftπ = 3.14Substitute the given values into the formula to find the circumference (length of one lap):
⇒ Circumference = 3.14 × 150 = 471 ft
Given:
Total distance run = 11,775 ft⇒ Total laps = total distance run ÷ circumference
= 11775 ÷ 471
= 25
Given:
Calories burnt per lap = 12⇒ Total calories burnt = total number of laps × cal burnt per lap
= 25 × 12
= 300 calories
Family B lives in Boise, Idaho. Their total household monthly income is
$
4
,
675
.
Use the graph to calculate the central angle of each section for Family B. Then, complete the following table. Note: Express each angle measure as a number, rounded to the nearest tenth of a degree.
Family B
1. Housing
°
2. Food
°
3. Childcare
°
4. Transportation
°
5. Insurance
°
6. Other Needs
°
7. Taxes
°
The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively
How to determine the central angles?The central angles of each family is calculated using:
Angle = Percentage * 360
Using the data on the circle graph, we have:
Taxes = 2% * 360 = 7.2 degrees
Housing = 16% * 360 = 57.6 degrees
Food = 16% * 360 = 57.6 degrees
Childcare = 18% * 360 = 64.8 degrees
Transportation = 13% * 360 = 46.8 degrees
Insurance = 28% * 360 = 100.8 degrees
Other needs = 7% * 360 = 25.2 degrees
Read more about circle graphs at:
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Question
Find the slope of the line.
Answer:
undefined
Step-by-step explanation:
The slope of a line is the ratio of the vertical change between two points to the horizontal change between those same two points. When the line is vertical, the horizontal change is zero. That means the slope is some (non-zero) value divided by zero. Division by 0 gives a result that is "undefined."
The slope of a vertical line is "undefined."
How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0
1
more than one
please explain your answer
Answer:
0.
Step-by-step explanation:
1.8 + 3.4 = 5.2.
The sum of two sides is less than the length of the third side (5.6 cm) so the answer is 0 triangles,
What is the reciprocal of look at the attachment
Answer:
5/2
Step-by-step explanation:
to find the reciprocal you just flip the fraction.
Answer:
the answer is 5/2 because reciprocal means to flip the equation
Step-by-step explanation:
No links please !!! :D
Answer:
The answer should be B. 86.7
What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?
A. A’ (-1,-4), B’(-4,4), C’(2,-4)
B. A’(-4,-1), B’(-4,4),C’(8,-1)
C. A’(-5,-5), B’(-5,5),C’(6,-5)
D. A’(-4,-4), B’(-4,4)C’(8,-4)
Answer: D
Step-by-step explanation:
6-10 divide, another onee thank you!!
Answers:
10.) [tex]\displaystyle \pm{5}[/tex]
9.) [tex]\displaystyle 1\frac{1}{2}[/tex]
8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]
Step-by-step explanations:
10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]
9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]
8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]
I am joyous to assist you at any time.
If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change
Pls help giving brinerlist
The answer is A
difference means to subtract
while product means to multiply!
(i hope this helps!)
From the observation deck of a skyscraper, Jack measures a 67 angle of depression to a ship in the harbor below. If the observation deck is 903 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
Step-by-step explanation:
From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary
========================================================
Explanation:
The drawing is shown below.
Notice that 23 + 67 = 90, or you could say 90-67 = 23.
Use the tangent ratio to find x.
tan(angle) = opposite/adjacent
tan(23) = x/903
x = 903*tan(23)
x = 383.300759 approximately
x = 383.30
12, 17, 22, ...
Find the 36th term.
Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
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A cell phone company charges $112.75 per month plus $0.25 per data usage over 1000 texts messages. how many messages can you send in one month for a budget of $325?
Answer:
8,490 messages
Step-by-step
what is 6.7 x 192 ÷ 0.051 ?
Answer: Reduce the expression, if possible, by cancelling the common factors
25223.52941176
Hoped this helped :)
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
#8) Translate the following phrase into an expression:
10
8 more than y
Your answer
This is atequired question
Answer:
y + 8
Step-by-step explanation:
8 more than y is y plus 8.
What is the area of a regular pentagon with a side of 15 cm?
Answer:
hello.
• Area: 387.11cm²
•A (side)= 15 cm.
hope this helps.
The maroon team and the orange team played a game of football. The maroon team scored 30 points and the orange team scored 9 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answer:
30:9 or if you want it simplified 10:3
Step-by-step explanation:
find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1 m
Answer: 666.22 m^3
Step-by-step explanation:
The formula for the volume of a right circular cone is: V = π*r^2*(h/
3)
Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22
Find volume of rectangular prism shown here. 1.5 cm 2cm 8cm
Answer:
24 cm³
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the area of the base by the height. V=lwh. V=(1.5)(2)(8)=24 cm³
Answer:
the answer should be 24
Step-by-step explanation:
1.5 x 2 = 3
3 x 8 = 24
V = L x W x H
V = 1.5 x 2 x 8
HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST
PLEASE SHOW HOW YOU GOT THE ANSWER!
Answer: 27
Step-by-step explanation:
**WILL GIVE BRAINLIEST** please help me
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
0.17 + (0.68—0.17)* (20- -14.4)/-21.3- -14.4)
Answer:
See the steps below
Step-by-step explanation:
[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]
[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]
[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]
[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]
[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]
[tex]\cfrac{17*69-17544}{6900} =\\[/tex]
[tex]-\cfrac{16371}{6900} =[/tex]
[tex]-\cfrac{5457}{2300} =[/tex]
[tex]-2\cfrac{857}{2300}[/tex]
The measure of an angle is 27. 5°. What is the measure of its complementary angle?
Answer:
62.5 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
So the answer is 90 - 27.5.
A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part
The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.
Volume of a cylindervolume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 14 / 2 = 7 cm
h = 60 cm
volume of the cylinder = π × 7² × 60
volume of the cylinder = π × 49 × 60
volume of the cylinder = 2940π cm³
The volume of the half part = 2940π / 2 = 1470π cm³
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The radius of a semicircle is 4 miles. What is the semicircle's area?
Answer:
8[tex]\pi[/tex] miles or 25.133 miles
Step-by-step explanation:
your radius is 4 miles.
The area of a circle is A= [tex]\pi r^{2}[/tex]
Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]
Half of this area, because what you're looking for is a semi-circle, is:
8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.
If y = 35 when x = 140, what is the value of y when x = 70?
Answer:
17.5
Step-by-step explanation:
x and y are in the ratio: 1 : 4
which means that if y is 35 x is 4 times y equating to 140
hence if x is 70 then y is 17.5
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |
2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.
3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.
Much thanks and appreciation!
Answer:
y=0.9x-45
Step-by-step explanation:
When you substitute the values of x you have to get same values as given in the table
For example: substitute x=50 in the equation y=0.9x-45
Y= 0.9(50)-45
Y= 45-45
Y=0
Step-by-step explanation: