Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
Answer:
m = -2
Step-by-step explanation:
First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)
18m + 7m = -60 + 2 + 8
Now we simplify to get this:
25m = -50
Now we divide -50 by 25 which gets us -2.
Therefore, m = -2
Hope this helps!
Write as an equation: Sara spent $2 more than Lauren, and together they spent $19.
Answer:
Equations:
a + b = 19
a = b + 2
a = Money that spent Laura
b = Money that spent Laureen
then:
(b+2) + b = 19
2b + 2 = 19
2b = 19-2
2b = 17
b = 17/2
b = 8.5
a = b + 2
a = 8.5 + 2
a = 10.5
Check:
10.5 + 8.5 = 19
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La
Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
Can someone help me on this math question its confusing ill give brainly when right!!!
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
1. In rhombus ABCD, the length of OC is 4.25 com. What is the length of OA?
A. 4.25 cm
B. 2.13 cm
C. 10.0 cm
D. 8.5cm
Answer: OA = 4.25cm
Step-by-step explanation:
As the diagonals of Rhombus bisects and divides the diagonal into two equal parts OA = OC
OA = 4.25 cm
please click thanks and mark brainliest if you like :)
Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look
[tex] \sqrt{117} [/tex]
Can someone plz help me ASAP!!!!!!!!
Answer:
A) The number halfway between -2 and 6 is 2.
B) -10 is halfway between -18 and 8
A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m
Answer:
b) 2.00 + 0.25m
Step-by-step explanation:
2.00per trip and $0.25 per mile = 2.00 + 0.25m
Answer:
see below
Step-by-step explanation:
a) 0.25m
This is the cost of the mileage alone
The cost is 25 cents per mile times m miles
b) 2.00 + 0.25m
This is the total cost of the trip
There is a 2 dollar flat rate fee plus the cost of the miles
2 dollars plus m miles at 25 cents per mile
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)
Answer:
The vertex is at (2,1)
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex
f(x) = 3(x - 2)^2 + 1.
The vertex is at (2,1)
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
Answer:
please see the steps in the picture
In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answer:
24
Step-by-step explanation:
Since the triangles are similar the side lengths must be proportional
2/12 = 4/PQ cross multiply expressions
2PQ = 48 divide both sides by 2
PQ = 24
What number could be added to 0.40 mL for the level pf precision to be 0.01mL?
Answer:
-0.39mL
Step-by-step explanation:
Let x be the number.
The expression would be: 0.40 + x = 0.01
Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39
Therefore the answer is -0.39mL
In March, Mateo ran 19 miles. In April, he ran twice as many miles as he ran in March. In May, he ran four times as many miles as he did in April. How many total miles did Mateo run in the three months? Enter your answer in the box.
Answer:
209
Step-by-step explanation:
march = 19 miles
april = 19 times 2 = 38
may = 38 times 4 = 152
so that'd be 19 + 38 + 152 = 209 miles in total.
209 miles Mateo ran in the three months.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
Mateo ran in March = 19 miles,
Also,
Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles
Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.
Total distance ran by Mateo in all three months
= ran in March + ran in April + ran in May
= 19 + 38 + 152
= 209 miles.
Mateo ran 209 miles in all three months.
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The city soccer club has thirteen new members and fifty-two returning members. If they break up into teams of eleven players, how many complete teams would there be?
Answer:
5
Step-by-step explanation:
The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.
13 + 52 = 65
65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.
The answer is 5
If Tan A=5/12 then find cot A, cos A and Sin A
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]
hypotenuse² = (opposite side)² + (adjacent side)²
= 5² + 12²
= 25 + 144
= 169
hypotenuse = √169 = √13*13 = 13
[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]
write 9/10 as a percentage
Answer:
90%
Step-by-step explanation:
Percent means out of 100
9/10 *10/10
90/100
90%
I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?
I have to return 400 notebooks.
Here, we have,
given that,
I order 700 notebooks by accident. I only need 3⁄7 of my order.
To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.
Let's calculate it step by step:
Calculate the number of notebooks you don't need:
4/7 * 700 = 400
we have,
I only need 3⁄7 of my order.
so, i need = 3/7 * 700
= 300
Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:
700 - 300 = 400
Therefore, you should return 400 notebooks.
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20. Find the midpoint between the given points.
(3, -8) and (-5, -13)?
I need an answer fast! help if you can!
Hi there! :)
Answer:
[tex]\huge\boxed{(-1, -10.5)}[/tex]
Use the midpoint formula to solve for the midpoint:
[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points:
[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]
Simplify:
[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]
[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]
the x-intercept of the function f(x)=x^2-81
Answer:
hendoebhdjdbdjjsjsnsnns
jskebeuejbeiwnwvgwvshcc
Answer:
x=9
x=-9
Step-by-step explanation:
The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.
[tex] {x}^{2} - 81 = 0[/tex]
We can approach this problem 2 ways
Way 1: Differnece of Squares
Recall that
[tex]a {}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
Since x^2 and 81 are both perfect squares and 81 is negative, we can say that
[tex](x + 9)(x - 9) = 0[/tex]
Set each equation to zero
[tex]x = 9[/tex]
[tex]x = - 9[/tex]
Way 2: Take square root of both sides
[tex] {x}^{2} - 81 = 0[/tex]
[tex] {x}^{2} = 81[/tex]
Next step, take square root of both sides. Square root produce negative and positive solutions so
[tex]x = 9[/tex]
or
[tex]x = - 9[/tex]
Find the arc length of the partial circle.
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{4}[/tex]
= 2π × 2
= 4π units ← exact answer
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
PLEASE HELP I AM IN A RUSH!!!
Answer:
6,5
Step-by-step explanation:
Answer:
(6,0),(-2,8),(-2,0)
A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?
Answer:
18 inches
Step-by-step explanation:
To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches
Please help explanation if possible
that's the answer pls mark as brainliest
Answer:
x = 71 and y = 19
Step-by-step explanation:
Given the 2 equations
x + y = 90 → (1)
x = 14 + 3y → (2)
Substitute x = 14 + 3y into (1)
14 + 3y + y = 90 ( subtract 14 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
Substitute y = 19 into (1) for value of x
x + 19 = 90 ( subtract 19 from both sides )
x = 71
Larger number x = 71 ; Smaller number y = 19
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
A retailer allowed 4%. discount on her his
goods to make 20 %profit and sold a refrigerator
for Rs.10848 with 13%. VAT . By how much
is the discount percent to be increased so that
she lhe gained only 15 % profit ?
Answer:
8%
Step-by-step explanation:
Let the cost price of the goods be $y. Let us assume the selling price of the goods is $x. The retailer sold at 4% discount, this means it was sold for 0.96x (100% - 4% = 96%). Since the goods was sold to make 20% profit, therefore it was sold for 1.2y (100% + 20% = 120%).
The refrigerator was sold at 13% VAT at Rs. 10848:
1.2y + 13%(1.2y) = 10848
1.2y + 0.13(1.2y) = 10848
1.2y + 0.156y = 10848
1.356y = 10848
y = 8000
The cost price is Rs 8000.
The selling price is:
0.96x = 1.2y
0.96x = 1.2(8000)
x = 10000
The selling price is Rs. 10000
For a profit of 15%, that is 1.15(8000) = 9200, the discount is:
(1 - discount)10000 = 9200
1 - discount = 0.92
Discount = 1 - 0.92 = 0.08
Discount = 8%
The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
The question is in the picture
Answer:
[tex]10^{19}[/tex]
[tex]10^{-6} * 10^{25} = 10^{19}[/tex]
Step-by-step explanation:
10^46/ 10^-4 = [tex]10^{50}[/tex]
[tex]\sqrt{10^{50} } = 10^{25}[/tex]