Answer:
x^ -10
Step-by-step explanation:
x^2 * x ^ -12
We know that a^b * a^c = a^ (b+c)
x^2 * x^-12
x^(2+-12)
x^ -10
Answer:
[tex]\frac{1}{x^{10}}[/tex]
Step-by-step explanation:
The two "x" terms are being multiplied, so combine the terms
Subtract the power signs:
[tex]x^2 * x^-12[/tex] = [tex]x^2/x^{12}[/tex]
[tex]x^(2 - 12)[/tex] = [tex]x^-10[/tex]
[tex]x^-10[/tex] = [tex]\frac{1}{x^{10}}[/tex]
[tex]\frac{1}{x^{10}}[/tex] is your answer.
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*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .
Answer:
The correct option is;
Left object volume = right object volume
Step-by-step explanation:
The shapes given in the question are two circular cones that have equal base radius and equal height
The formula for the volume, V of a circular cone = 1/3 × Base area × Height
The base area of the two shapes are for the left A = π·r², for the right A = π·r²
The heights are the same, therefore, the volume are;
For the left
[tex]V_{left}[/tex] = 1/3×π·r²×h
For the right
[tex]V_{right}[/tex] = 1/3×π·r²×h
Which shows that
1/3×π·r²×h = 1/3×π·r²×h and [tex]V_{left}[/tex] = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.
7/13 + 1/5 (its in fractions)
Answer:
48 ÷ 65
Step-by-step explanation:
hope it helps you
Answer:
[tex]\frac{48}{65}[/tex]
Step-by-step explanation:
Step 1: Find LCM for denominators
13(5) = 65
So we need to convert our fractions to add them
Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5
[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]
Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13
[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]
Step 4: Add the converted fractions
[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]
And we have our answer!
what is equivlent to 12x+(−7)−214x−(−2)
Answer:
X=5/216
Step-by-step explanation:
Answer:
X=5/216
Step-by-step explanation:
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
Answer:
19.5
Step-by-step explanation:
The Volume of a cone is h/3(r²)[tex]\pi[/tex]
That means, for the larger cone,
66=h/3(3²)([tex]\pi[/tex])
66=h/3*9[tex]\pi[/tex]
66/9[tex]\pi[/tex]*3=h
h=7, so the height of the larger cone is seven
Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666. So the height of the smaller cone is 4.66666.
Putting that in the formula,
V=(4.66666/3)(2²)[tex]\pi[/tex]
V=1.555555*4*[tex]\pi[/tex]
V=19.547
Answer:
19.6
Step-by-step explanation:
I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!
Please help! Simplify: 3(2x-4y) - 2(4y-x) Thank you!
Answer:
8x-20y
Step-by-step explanation:
Use the distributive property then add or subtract the terms(like terms)
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-20y
Hope this helps ;) ❤❤❤
Answer:
8x-20y
Step-by-step explanation:
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-12y-8y
8x-20y
Guys pls help me in this coz im very confused in this
Answer:
Step-by-step explanation:
1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)
The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.
2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.
3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.
You will see they do cover each other.
Additional
''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''
Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.
Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.
Need help and show work please.
Answer:
B) 30
Step-by-step explanation:
Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.
Wich means that BE = ED
● BE = ED
● (2/3)x = x-10
Substract x from both sides
● (2/3)x -x = x-10 - x
● (2/3) x - x = -10
Multiply x by 3 then ubstracr it from 2x
● (2x-3x)/3 = -10
● -x/3 = -10
Multiply both sides by -3
● (-x/3)×(-3) = -10 ×(-3)
● x = 30
Please help me with this I will give u 100 points
Answer:
see below
Step-by-step explanation:
Video Game
20% off means you pay 80%
80 dollars * 80% =
80 * .80 = 64
Movie ticket
14 original price
Sale price = 11.40
14* p% = 11.40
Divide each side by 14
p% = 11.40/14
p% =81.4285714
You paid 81 3/7%
The discount is 100 -81 3/7%
18 4/7 % discount
Laptop
1000 original price
Sale price = 750
1000 * p% = 750
p% = 750/1000
p% =75%
You paid 75%
The discount is 100 -75%
25 % discount
Answer:
Below
Step-by-step explanation:
First item)
The original price of the video games is 80$ wich is 100%
This item has a 20% discount.
Let x be the value of the dicount in dollars.
● 80 => 100
● x => 20
● x =(80×20)/100 = 16$
So the amount of the discount is 16$.
● 80-16 = 64 $
So the amount that was paid is 64$
■■■■■■■■■■■■■■■■■■■■■■■■■■
Second item):
The price that was paid is 11.2$out of 14$ initially.
Let x be the percentage of 11.2
● 14$ => 100%
● 11.2$ => x
● x = (11.2×100)/14 = 80%
● 100-80 = 20%
So the percentage of discount was 20%
■■■■■■■■■■■■■■■■■■■■■■■■
Third item):
The laptop was boughr for 750$ out of 1000$ initially
No need to do calculations here.
Notice that: 750/1000 = 3/4 = 0.75 = 75%
● 1000-750 = 250
So 250 is the amount discounted wich is 25% of 1000$
Someone pls help me . Thank you sm
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▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
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Please help with 2 and 3 for maths
Answer:2-4=
Step-by-step explanation:y-16-(-42)
y-16+16
y-32
y-16-(-22)
y-16+4
y-20
y-16-(02)
y-16
y-16-(42)
y-0
Answer:
The answer is 2-4
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!
Answer:
5:
x = 9 y = 34
x = 2 y = 6
x = -6 y = -26
x = 3 y = 10
x = 4 y = 14
6.
x = 8 y = 19
x = 5 y = 35
x = -2 y = -21
x = 1 y = 3
x = 4 y = 27
1.
x = 2 y = -5
x = 5 y = -2
x = -1 y = -8
x = 7 y = 0
x = 3 y = -4
2.
x = 8 y = 5
x = 2 y = -1
x = -2 y = -5
x = 9 y = 6
x = 1 y = -2
3.
x = 3 y = -1
x = 6 y = 2
x = -7 y = -11
x = 4 y = 0
x = 2 y = -2
4.
x = 6 y = 39
x = 5 y = 32
x = -9 y = -60
x = 1 y = 4
x = 2 y = 11
5. 6. 1. 2. 3. 4.
x | y | x | y x | y x | y x | y x | y
9 | 11 | 3 | 19 2 | -5 8 | 5 3 | -1 6 | 39
2 | 6 | 5 | 35 5 | -2 2 | -1 6 | 2 5 | 32
-6| -26 | -2 | -21 -1 | -8 -2 | -5 -7 | -11 -9 | -66
3 | 10 | 1 | 3 7 | 0 9 | 6 4 | 0 1 | 4
4 | 14 | 4 | 27 3 | -4 1 | -2 2 | -2 2 | 11
Hope this helps!
A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?
Answer:
h=7
Step-by-step explanation:
First we need to define the formula for surface area
2(wl+hl+hw)=100
Now we can replace length with x
That makes width .5x and height x+3
2(.5x^2+x^2+3x+.5x^2+1.5x)=100
2(2x^2+4.5x)=100
2x^2+4.5x=50
2x^2+4.5x-50=0
Insert into quadratic equation (a=2x^2, b=4.5, c=-50)
x=4 or -6.25
x can't be negative so x is 4
h=x+3=7
h=7
Suppose that the values of x, y, and z are given by x=2/3 y=5/7 z= -11/3 What is xy/z
Answer:
The answer is -10/77 .
Step-by-step explanation:
In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :
[tex] \frac{xy}{z} = xy \div z[/tex]
[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]
[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]
[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]
[tex] = - \frac{10}{77} [/tex]
Look at the graph in the image. 1. What are the coordinates of point P? A. (4,3) B. (4,30) C. (4,90) D. (40,90) 2. What is the independent variable? A. Bike A B. Bike B C. Time D. Distance Please include work!
Answer:
1.C (4,90) 2.C.Time
Step-by-step explanation:
the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248
Step-by-step explanation:
Once you have completed the above problems and checked your solutions, complete
the above photos is the solution
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Answer:
Step-by-step explanation:
"Which ordered pair" implies that there were several answer choices for this problem. It's important that you share such answer choices.
2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x
If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation. There are an infinite number of such solutions. All lie on the line y = (8/5)x.
Solve for x. Show work plz
Step-by-step explanation:
Given,
RSTU is a parallelogram,
so, we need to find the value of x,
let's find it,
2x+15 = x+15 (opposite side of parallelogram are equal and parallel)
2x - x = 15-15
x=0
Therefore, the value of x is 0.
If you have doubt. then let's clear it by putting the value of x.
so, 2×0+15 = 0+15
15=15 {as already said that the sides are equal}
proved..
so, the value of x is 0.
Hope it helps.....
Answer:
x=0
Step-by-step explanation:
Assuming the two sides are equal length
2x+15 =x+15
Subtract 15 from each side
2x =x
Subtract x from each side
2x-x = x-x
x=0
For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Anna, Gina, and Ted divided up a box of post cards. Anna took one-fourth of the cards. Gina took half of what remained. Ted took the remaining 6 cards. How many cards were in the box?
Answer:
16 cards
Step-by-step explanation:
We can use logic to find out how many cards were in the beginning.
If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had [tex]6\cdot2=12[/tex] to choose from.
Now, Anna took [tex]\frac{1}{4}[/tex] of the cards, meaning that 12 is [tex]\frac{3}{4}[/tex] of the amount of cards there originally were.
[tex]\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16[/tex]
Hope this helped!
Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes respectively to complete the round. If all of them start at the same point and go in same direction, when will they meet again at the start point?
Answer:
9:30 am
Step-by-step explanation:
factors of 10; 5 and 2
factors of 15; 5 and 3
factors of 25; 5 and 5
calculate lcm so, 5x5x3x2 =150
150 mins = 2hr 30mins
7am+2hr30min = 9:30 am
Please help and explain so I can understand for future questions
Answer:
C
Step-by-step explanation:
Divide 4.5 by 3 = 1.5
1.5 x 3 = 4.5
Answer:
1.5 (c)
Step-by-step explanation:
You have to find the difference:
so you have to divide 4.5 the original and 3 the scaled image to see how much changed.
4.5 / 3 = 1.5
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Oh my god im so sorry i didnt mean to copy and paste my question here
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer: (2+v) =3; v =10 pounds of chopped vegetables.
Step-by-step explanation:
the answer is:
a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
Find RS. A. 5 B. 10 C. 9 D. 12
Answer:
RS = 5
Step-by-step explanation:
To find x use the equation 2x - 6 + 1 + x - 4 = 18
When you solve this x should equal 9
To find RS plug in x in (x-4)
9 - 4 (5)
Answer:
5 (Answer A)
Step-by-step explanation:
From the diagram we know that 2x - 6 + 1 + x - 4 must equal 18.
Then 2x - 6 + 1 + x - 4 = 18. Combining like terms, we get:
3x - 5 - 4 = 18, or 3x - 9 = 18
Then 3x = 27, and so x must be 9.
Then the length of RS is 9 - 4 = 5 (Answer A)
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?
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▹ Answer
$49,980
▹ Step-by-Step Explanation
[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]
Hope this helps!
CloutAnswers ❁
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Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
[tex]tanx=\frac{7.6}{8.6}[/tex]
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Use the Quadratic Formula to solve the equation x² - 6x = -14.
1. X=3+23 or X = 3-V23
2. X=-3+V23 orX=-3-V23
3. X=-3+iv5 or X=-3-i15
4. X=3+iv5 orx = 3-iv5
Answer:
D. x = 3+i√5 or 3-i√5
Step-by-step explanation:
Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.
Required
Use the quadratic formula to solve the equation.
The quadratic formula is expressed as x = (-b±√b²-4ac)/2a
From the equation given, a = 1, b = -6 and c = 145.
x = (-(-6)±√(-6)²-4(1)(14))/2(1)
x = = (6±√36-56)/2
x = = (6±√-20)/2
x = (6±√20*√-1)/2
Since √-1= i
x = (6±√20 i)/2
x = (6±√5*4 i)/2
x = (6±2√5 i)/2
x = 6/2 ± 2√5 i/2
x = 3±√5 i
x = 3+i√5 and 3-i√5
Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5