Answer:
Step-by-step explanation:
f(8) = (8)^2 - 4 = 64 - 4 = 60
Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3
Answer:
D) 125x²¹- 64y³Step-by-step explanation:
A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubesB) 3x⁹ - 64y³ - the first term is not a cubeC) 27x¹⁵ - 9y³ - the second term is not a cubeD) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubesCorrect option is the last one
Answer:
D) 125x²¹- 64y³
Step-by-step explanation:
A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
B) 3x⁹ - 64y³ - the first term is not a cube
C) 27x¹⁵ - 9y³ - the second term is not a cube
D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes
Correct option is the last one
Raju bought an old car for Rs.125000 and spent Rs.25000 on its repair . He sold the car for Rs.200000 . Find his gain or loss percent .
Answer: [tex]33.33\%[/tex]
Step-by-step explanation:
Given
Raju buy an old car for [tex]Rs\ 1,25,000[/tex]
He spent [tex]Rs\ 25000[/tex] on its repair
The selling price of the car [tex]Rs\ 2,00,000[/tex]
So, the cost price is
[tex]\Rightarrow C.P.=1,25,000+25,000=Rs\ 1,50,000[/tex]
Here, [tex]S.P.> C.P.\quad \text{i.e. gain}[/tex]
Gain percent is
[tex]\Rightarrow \text{Gain percent}=\dfrac{2,00,000-1,50,000}{1,50,000}\times 100=\dfrac{50,000}{1,50,000}\times 100\\\Rightarrow \text{Gain percent}=33.33\ \%[/tex]
A handbag company had 5% of the market in 2011 in 2015 it had 23%.
(a) Write a linear equation expressing the percentage of the luxury handbag market y that the company had x years after 2000
Answer:
[tex]y = 0.045x -0.445[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1)=(11,5\%)[/tex] ---- in 2011
[tex](x_2,y_2)=(15,23\%)[/tex] --- in 2015
Required
Linear equation for x years after 2000
First, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{23\% - 5\%}{15 - 11}[/tex]
[tex]m = \frac{18\%}{4}[/tex]
[tex]m = 4.5\%[/tex]
[tex]m = 0.045[/tex]
The equation for x years after 2000 is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.045(x - 11) + 5\%[/tex]
[tex]y = 0.045x - 0.495 + 0.05[/tex]
[tex]y = 0.045x -0.445[/tex]
4x[tex]x^{2}[/tex]+6x+2=0
write down the factors of 57 which lie between 1 and 57
Answer:
The factors of 57 which lie between 1 and 57 are as follows:
{1,3,19,57}
2
Find the Surface area of the prism.
(2 Points)
5 in
3 in
8 in
4 in
Answer:
The surface area of the prism is 108 square in.
The area of the total surface of a square based pyramid is
576 cm² and slant height is 10 cm, find the volume of the
pyramid
Answer: V = 366917713920 cm³
The ratio of boys to girls at the Valley is 3:2. The school has 850 students. How many boys are at the school?
Answer:
There are 480 boys at the school.
There are 320 girls at the school.
Step-by-step explanation:
TRIANGLE SIMILARITY & CONGRUENCE. PICTURE INCLUDED! asa,aas,sss, or sas
Answer:
AA they give you two angles
a/2 -3=8 is my question
Step-by-step explanation:
a/2-3=8
a-6 =8
2
a-6=16
a=16+6
a=22
hope it helps.
can someone solve 5x − 7 = 13 step by step
(instructions: Add 7 to both sides: 5x = 20
Divide both sides by 5: x = 4)
Like the example below
Answer:
x=4
Step-by-step explanation:
5x-7=13
5x=13+7
5x=20
x=20/5
x=4
Answer:
x = 4
Step-by-step explanation:
5x - 7 = 13
add 7 to both sides:
5x - 7 + 7 = 13 + 7
5x = 20
divide both sides by 5
[tex]\frac{5x}{5} = \frac{20}{5}[/tex]
x = 4
Select an expression that shows the sum of exactly two terms that is equivalent to 3(x + 7).
Answer:
3x + 21
Step-by-step explanation:
3(x + 7) Distribute
3x + 21
Last year, the Humane Society found 96 homes for its stray kittens.
If each home adopted 3 kittens, how many kittens found homes
last year? write the operation and the answer
Please help.
Algebra.
Answer:
3. -3
4. 4
Step-by-step explanation:
3 . so [tex]h^{2} = g^{?+3} h^{2}[/tex], we cancel the [tex]h^{2}[/tex] out and it leaves us with [tex]1=g^{?+3}[/tex]
Which means ?+3=0, and ?=-3
4. so [tex]k^{?} = k^{4}[/tex], ?=4
Please help sbdbdbdbdbdbdndbndbbdbdbdbdb
Answer:
x ≤ [tex]\frac{7}{17}[/tex]
Step-by-step explanation:
multipy both sides by twelve
move the variable to the left side and change the sign
collect like terms
divide both sides by -17 and flip the inequality sign
Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as Fred. What fraction did Sara make?
Answer:
4 / 6
Step-by-step explanation:
Fred fraction = 2/3
Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;
x / 6
Since her fraction is equal to that of fred, we have;
x / 6 = 2 / 3
x = 6 * 2 / 3 = 4
Sarah Fraction = 4 / 6
what is the answer to this? 2+8×(4+2)÷3−6
Answer:
2+8×6÷3-6 = 2+48÷3-6 = 2+16-6 = 12
Find the value of X please answer as soon as anyone can!
Answer:
139
Step-by-step explanation:
180 = x + 64+45
therefore: x = 139
Answer:
x = 109
Steps:
the sum of triangle angles is 180, and since the x is an exterior angle then 180-(64+45) = 71 and since it is an exterior angle then 180-71 = 109.
please help meeeeee
Am I really this dum* to not know how to answer this?
Other than that PLEASE HELP!!! AND ITS 10 POINTS
Answer:
3880 degrees
Step-by-step explanation:
18 gon = 18 sides
The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180.
⇒ 18 - 2 x 180
⇒ 16 x 180
⇒ 2880
Ted's company has received an order to print 10^6 pages. Ted's company has 100 machines., each of which can print 10^4 pages a day. Ted's coompany can print the 10^6 pages in 1/10 day, 1 day, 10 days, or 100 days?
Answer:
1 day because he has 100 machines not just one
Step-by-step explanation:
THIS IS WORTH 24 FREAKING POINTS SO GIVE ME NO WRONG ANSWER NOW, read the question carefully and answer it correctly and carefully
Answer:
I am not the best at math but I know that u can't change the bottom half of the fraction so it would just be four and then multiply the five and the three which would be fifteen. The answer would be 15/4ths. So you want to color in 15 boxes. Hopefully I could be of some kind of help to you!
Answer:
color in 15 boxes
15/32
Step-by-step explanation:
first off, the points are split so I'm only getting 12, just so that you know.
so 1/8x1/4 is 1/32, so each box is 1/32.
5/8x3/4=15/32 (multiply the top of the first with the top of the second and the bottom of the first with the bottom of the second)
so color in 15 boxes and the answer to the multiplication is 15/32
Hope I could help!
Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart. How much did they drink altogether?
Answer:
37/56
Step-by-step explanation:
If Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart, the amount they drank altogether will be the sum of the amount they drank individually
Total = 3/8 + 2/7
Find the LCM
Total = 3(7)+8(2)/56
Total = (21+16)/56
Total = 37/56
Hence they drank 37/56 of the quartz altogether
5+ 2 1/2 + 7 1/2 + 2 1/2+ 7 1/2 +5=
Answer:
its 30.
Step-by-step explanation:
that's all I know.
Find the median of the following set of data: 10, 12, 10, 15, 16, 18
1. Both of the equations shown have the same solution when solved for x. What is
the value of k? Show or explain all your work. *
5x + 34 = -2 (1 – 7x) and – 3 (4x + 3) + 4 (6x + 1) = k
Your answer
PLS HELPPPP
Answer:
Step-by-step explanation:
Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quats of pinnapple juice, 3 pints of cranberry juice. How many quarts did he make in all?
Answer:
13.5
Step-by-step explanation:
Tom made fruit punch for a party
He used the following amount of fruits
2 gallons of orange juice
= if 1 gallon is 4 quart then 2 gallon is 4×2= 8 quarts
3 pints of cranberry juice
= if 1 pint is 0.5 quart then 3 pints is 0.5×3 = 1.5 quarts
The amount of quartz he made can be calculated as follows
= 1.5 + 8 + 4
= 13.5
Hence he made 13.5 quarts of fruit punch
BC is tangent to circle A. Determine the length of AC.
Answer:
5
Step-by-step explanation:
AC=√(3^2+4^2)=√(9+16)=√(25)=5
Graph the equation 6x - y=-1
Answer:
[tex] - \frac{146}{5} [/tex]
that the answer
AB is a diameter of the
circle. Find the angle
BCO.
A 70°
B 20°
C 60°
D50°
Answer:
70°, ,have a nice day
Answer:
∠BCO = 70°
Step-by-step explanation:
AO = CO = BO because all radii of the same circle are equal.
∠ACO = 20° because it is an isosceles triangle.
∠BCA = 90° because a triangle with it's hypotenuse being the diameter of a circle is a right triangle.
∠BCA - ∠ACO = ∠BCO
90° - 20° = 70°
∠BCO = 70°