Answer:
n¹⁵
Key:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]Step-by-step explanation:
[tex]\frac{n^{10}}{n^{-5}}\\=n^{10-\left(-5\right)}\\n^{10} = n10\\^{-5} = -5\\n10 - -5 = n15\\= n^{15}[/tex]
TRUE OR FALSE
1. Standard units gives a consistent and accurate of the volume of a container.
TRUE OR FALSE ?
Answer:
True
Step-by-step explanation:
Cant really provide step by step per se.
Need help with this math question
Hey there!
Answer :[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]
[tex] \\ [/tex]
Explanation:[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]
[tex] \hookrightarrow [/tex] Subtract 3 from both sides :
[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]
[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :
[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, our answer is d = -5
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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.
[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]
combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.
[tex]\boldsymbol{d+3=-2}[/tex]
Subtract 3 from both sides.
[tex]\boldsymbol{d=-2-3}[/tex]
Subtract 3 from −2 to get −5.
[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]
VerificationLet d=-5.
[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]
[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]
[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]
[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]
[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]
[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]
[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]
[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]
[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]
Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
Answer:
Step-by-step explanation:
I’m not sure u didn’t even add numbers
what is the volume of a cone with a radius of 4x and a height of 21xy^2?
The volume of a cone with radius of 4x and a height of 21xy² is 352 x³y²
How to calculate the volume of a cone
Using the formula:
V=πr²h/3
Where r= radius = 4x
h= height = 21xy∧2
Substitute the values into the equation
V = 22/7 × 4x × 4x × (21 × x × y × y) ÷ 3
V = 22/7 × 16x² × 7xy²
V= 22 × 16x² × xy²
Multiply all through
Volume, V = 352 x³y²
Therefore, the volume of the cone is 352 x³y²
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What is the answer to this question
Answer:8000 i think
Step-by-step explanation:
=20 to the power of nine-20 to the power of four=20 to the power of three.
20 to the power of three is 8000.
Hope this helps.
Jeff is going snowboarding this weekend and wants to determine the exact slope of this hill.
Answer:
-2/5
Step-by-step explanation:
the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer
A store sells 6 batteries for $4.95. Which deal is a better buy? OA. 2 for $1.80 OB. 4 for $3.99 O C. 8 for $6.99 D. 10 for $7.50
Answer:
D
Step-by-step explanation:
7.50/10=0.75
0.75*6=4.5
So, you will get 6 batteries for $4.50 which of course is less than $4.95.
For an experiment comparing two treatment conditions, an independent-measures design would obtain ____ score(s) for each subject and a repeated-measures design would obtain ____ score(s) for each subject.
The score(s) that will be obtained respectively in an independent-measures design and repeated-measures design are; 1 and 2
How to interpret Experiments?There are different ways to carry out an experiment in mathematics. This is because there are various means of research and also ways to interpret the results.
Now, when comparing two treatment conditions, an independent-measures design would always obtain 1 score for each subject. However, when a repeated-measures design is carried out on the same sample, it will obtain 2 scores.
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For all values of x
f(x) = 3x + 2
Find f-¹(-12)
Answer:
-4.67
Step-by-step explanation:
first find f^-1(x)
let f(x)=y
y=3x+2
3x=y-2
x=y-2/3
Therefore f^-1(x)=x-2/3
Now f^-1(-12)=-12-2/3
=-14/3
=-4.67
Find f(5)+j(-2) if f(x)=12-3x ind j(x)=x² + 4x − 1
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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evaluate and simplify the following complex fraction.:6/7 ÷ 3/11
Answer:
3 7/50
Step-by-step explanation:
so you need them to become common denominators
a common multiple they both have would be is 77
6/7 becomes 66/77 and 3/11 becomes 21/77
now we divide
keep the 66/77 as is and flip 21/77 (keep, change, flip)
so now our equation looks like this: 66/77 x 77/21
and your answer is 3.14
but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)
The floor of a rectangular room is 300 cm long and 180 cm wide. to carpet the floor? How many small tiles are needed
The number of small tiles are needed is 300 tiles.
Number of tiles neededUsing area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
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Help please 50 PTS! I need this asap
Design your own statistical question that you can ask at least twenty different people. Keep in mind that the question should result in a variety of different numerical answers. What is your statistical question?
Answer:
How tall are you
ez clappp
This graph shows the solution to which inequality?
(3, 3)
(-3,-1)
O A. ysx+1
OB. y> 3x+1
O C. y
O D. y²x+1
4
Answer:
Correct option is C)
given, y≥2x+1 and
y>
2
1
x−1
Answer:
D
Step-by-step explanation:
y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)
Now check those point,
we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.
HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is
How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.
Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.
Answer:
0.86°
Step-by-step explanation:
The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...
Tan = Opposite/Adjacent
__
angle from the batThe geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.
For angle α, we have the relation ...
tan(α) = (6 ft)/(400 ft) = 0.015
The inverse tangent function can be used to find the angle from its tangent:
α = arctan(0.015) ≈ 0.859372°
The angle of elevation needs to be a minimum of 0.86°.
what is the median 2 4 1 0 4 5 10 2 4
Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE
The quadratic functions are given as below:-
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
As we know that the function which will have the highest power of the variable equal to 2 will be called a quadratic polynomial.
So from the given expressions following equations has a degree of 2.
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
Therefore the above equations are quadratic functions.
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y’all help please and thank you!
Answer:
B i think
i examined carefully and im %75 sure that is it B
Step-by-step explanation:
im so sorry if it's wrong
Answer:
B
Step-by-step explanation:
more people prefer chicken.
because 73 people prefer chicken.
more people under 40 prefer chicken.
because 39 people prefer chicken where as only 21 people prefer steak
so the correct answer is b
What is the area of the nonagon given below? Please explain how you got the answer
Answer:
94
Step-by-step explanation:
add all the sides together
Choose the function for this graph
Answer:
f(x)=2|x|
Step-by-step explanation:
graphing calculators work wonderz
Just look at this and answer it right someone please how.
Answer:
they are 10km 32 degrees far from each other
Step-by-step explanation:
scott - 100km - 30 degrees
spork - 110km - 62 degrees
how far = difference between them
as spork's distance and degrees are greater than scott we substract Scott's from spork's
110 - 100 = 10 km
62 - 30 = 32 degrees
they are 10km 32 degrees far from each other
Help please
I need to now asap
Answer:
x = 55.866 ft.
Step-by-step explanation:
39^2 + 40^2 = x^2
1521 + 1600 = 3121
sqrt(3121) = 55.8659
Rounded = 55.866
Make sure to add the ft.
Answer:
Step-by-step explanation:
a²+b²=c²
39²+40²=c²
3121=c²
c=√3121
c=55.866 to 3.d.p
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
a pie shop offers 20% off the price of a large pie every Monday night. If the regular price is $22, what is the discounted price?
brainliest to answrer
Answer:
$17.60
Step-by-step explanation:
20% of $22 is $4.4 - Subtract $4.40 from $22 to calculate the discounted price: $17.60
Hope this helped! :)
2(z+5) +5(z+ 2) = 10(z − 1)
Answer:
z = 10
Step-by-step explanation:
First apply multiplication to inside the parenthesis:
2(z+5) = 2z + 10
5(z+ 2) = 5z + 10
10(z − 1) = 10z - 10 now write the full equation
2z + 10 + 5z + 10 = 10z - 10 add like terms
7z + 20 = 10z - 10 transfer like terms to the same side of the equation
20 + 10 = 10z - 7z
30 = 3z divide both sides by 3
10 = z
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answer:
125.6 in²
Step-by-step explanation:
Area shaded :
2 × Sector (72°)2 x πr² x θ/3602 x 3.14 x 100 x 72/3606.28 x 100 x 1/520 x 6.28125.6 in²Help please!! 10 points!
Answer:
tanG = 2
tanH = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The function tangent is the opposite side divided by the adjacent one(SohCahToa).
Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:
tan(m<G) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<G) = [tex]\frac{2}{1} = 2[/tex]
The same can be done for <H. The opposite side is 1 while the adjacent is 2:
tan(m<H) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<H) = [tex]\frac{1}{2}[/tex]
Find the area of the polygon.
2 cm
3 cm
1 cm
3 cm
4 cm
Answer:
20cm²
Step-by-step explanation:
3+3=6, 4+1=5 (make it a rectangle and find the sides first)
A=6×5=30cm²
Now you can take away the invisible sides,
30-6-3-1=20
From the airport hanger H, an areoplane A is 18km away on the bearing of 115° while another aeroplane B is 29km away on a bearing of 203°. Find the difference between A and B.
I'M MARKING BRAINLIEST
The difference in distance between Aero plane A and B is; 34.67 km
How to calculate bearing?
To get the bearing;
∠H = (115 - 90) + (270 - 203)
∠H = 92°
Then, we will use cosine rule to get the distance between both Planes A and B.
d_ab = √(18² + 29² - 2(18 * 29) * cos 92)
d_ab = √(324 + 841 + 36.435)
d_ab = 34.67 km
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What is the quotient?
X+5/3x^2 + 4x+5
Answer:
3x - 11
Step-by-step explanation:
x + 5/ 3x-11
3x - 11 is the quotient