Answer:
1. 9x³
2.5b³
3.2d
4. 68x³
9514 1404 393
Answer:
0, -2/70, 20, 1/30, -3Step-by-step explanation:
Factoring out the greatest common factor in each case, we can simplify the process of finding the non-zero solution. The solutions are the values of the variable that make the factors be zero.
1) 7x^2 +2x = 0 = (x)(7x +2) ⇒ x = 0; x = -2/7
__
2) 5b^2 -10b = 0 = (5b)(b -2) ⇒ b = 0; b = 2
__
3) 3d^2 -d = 0 = d(3d -1) ⇒ d = 0; d = 1/3
__
4) 17x^2 +51x = 0 = 17x(x +3) ⇒ x = 0; x = -3
8 cubed as a single power of 2
Answer:
[tex]2^{9}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ and so
8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]
Question Progress
Homework Progress
Mike sells computers.
The table shows how many he sold each quarter over a three-year period.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 TOTAL
2015
12
9
21
25
2016
15
10
17
19
2017
8
5
23
35
TOTAL
a) Complete the table.
b) In which year did he sell the most computers?
c) In which quarter did he sell the least computers?
Answer:
no clue
Step-by-step explanation:
lol
Answer:
b) 2017
c) Quarter 2
Step-by-step explanation:
Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you
Answer:
x = 3
Step-by-step explanation:
12x = 36
simply 12 will go to the other side and switches to the opposite sign for example + will be -
× will br ÷
so 36 ÷ 12 =3
x = 3
What's the rate of (x-1)*6-100
The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(___,____)
What are the coordinates of Point A? A(____,____)
Given:
Scale factor [tex]s=\dfrac{1}{3}[/tex]
Center of dilation = (4,2)
To find:
The coordinates of the points C' and A.
Solution:
We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
The scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using rule (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Hence, the coordinates of Point C' are C'(2,5).
Let us assume that point A is A(m,n).
Using rule (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
Mark father won 5,000 in the state lottery he put it in a new account and paid there 250 dollars monthly car insurance in 7 months how much would be left in the account
Answer:
$3,993
Step-by-step explanation:
Answe
Step-by-step explanation:
A super train traveled 420 miles in 3 hours. If it maintain the same speed, how far could the train travel in 16 hours?
Answer:
We conclude that the train can travel 2240 miles in 16 hours.
Step-by-step explanation:
Given that a super train traveled 420 miles in 3 hours.
Distance covered = 420 milesTime taken = 3 hoursStep 1 of 2
Determine distance per hour
Important Tip:
The distance per hour can be determined by dividing the distance covered by the time taken.Distance per hour = Distance Covered / Time taken
= 420 / 3
= 140 miles per hour
Step 2 of 2
Determine the distance traveled in 16 hours
We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.
Important Tip:
To determine the distance covered in 16 hours, all we need to do is to multiply the distance covered per hour i.e. 140 with the total number of hours i.e. 16.Distance traveled in 16 hours = Distance per hour × 16
= 140 × 16
= 2240 miles
Conclusion:
Therefore, we conclude that the train can travel 2240 miles in 16 hours.
A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
radius of the cylinder is 5.8 cm and the length is 50 cm. Find the volume of the metal used.
step by step explain plz
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex] V = \pi r^{2} h [/tex]
Where:
r: is the radius
h: is the height = 50 cm
The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):
[tex] V_{m} = V_{e} - V_{i} [/tex]
[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]
The external radius is given by the sum of the internal radius with the tickness:
[tex] r_{e} = t + r_{i} [/tex]
Hence, the volume is:
[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]
Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!
Can someone help me, please?
Answer: The slope is 2/3.
Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.
Jared had 5 chocolate bars left over from Halloween. During a party with 5 of his other friends, they shared the chocolate bars. How much of a chocolate bar did Jared and each of his friends get to eat?
Answer:
1 for each friend
Step-by-step explanation:
PLEASE HELP ME I BEGGGGGGG
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I believe it is A because according to the theorem it states the other pair of opposite sides are parallel.
"Here's the game plan. Assume that ¯BC ¯AD and ¯BC ~= ¯AD. By definition, a parallelogram is a quadrilateral with both pairs of opposite sides parallel. You already know that one pair of opposite sides is parallel. You need to show that the other pair of opposite sides is parallel. In other words, you need to show that ¯AB ¯CD."
ASAP ASAP ASAP ASAP HELP HELP HELP (just need to make sure I got the right answer)
Answer:
$8.76*x
Step-by-step explanation:
Can someone help me with this please?
Answer:
I think it's would be D
Step-by-step explanation:
1/2 is 50% So you add 19 and 50 to get 69% or 69/100
7. Find another rational number in lowest form that would be between each of the pairs of rational
numbers.
a)
7/6 4/3
Solve the following equation for X.
3x- 4 = 11
Answer: B
Step-by-step explanation:
3x - 4 = 11
add 4 to both sides so it cancels out
3x = 15
Now divide by 3
x = 5
Answer:
x=5
Step-by-step explanation:
3x - 4 = 11
4 + 11 = 15
3x = 15
x = 5
pleAseeeeeeeeee can someone help me
Answer:
102.4
Step-by-step explanation:
hope that helps beautiful ;-)
5x+10=115 what is the value of x
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.
Or you can do it using the Pythagorean Theorem directly:
9^2 + 12^2 = 15^2
and that is true.
Answer:
yes it is.
Step-by-step explanation:
pythagorean theorem. A^2 + B^2 = C^2
Ex 9^2 + 12^2 = 15^2
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were garden salads, how many total salads did the restaurant sell?
A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.
Answer:
4/25
Step-by-step explanation:
The total number of marbles is 2+3=5 total
P(1 red, then a second red) = (2/5) * (2/5) = 4/25
Find the sum.
(7x® + 2x5 – 3x² + 9x) + (5x + 8x? – 6x² + 2x – 5) =
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
explain step by step
Answer:
D
Step-by-step explanation:
what is the sum of 0 of -1
Answer:
Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1
Step-by-step explanation:
Does this graph represent a function? Yes, no
Answer:
yes
Step-by-step explanation:
Which expression is equivalent to the expression shown?
Step-by-step explanation:
(A²)⁴ = A⁸
(D³)² = D⁶
(5⁴)² = 5⁸
See image. I only have an hour. Thank you!
Step-by-step explanation:
[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]
4415525545554258-1482+4858=
Answer:
4.415525546*10 to the power of 15
Step-by-step explanation:
Determine the relationship between the two triangles and whether or not they can be
proven to be congruent.
The two triangles are related by
, so the triangles
Answer:
congruent by side angle side so the triangle is congruent
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $16,000.00, how much was the car worth when she bought it?
Answer: 17600
Step-by-step explanation: 16000*10% is the same as 16000*0.1, then you get 1600. 16000+ 1600 is 17600
A graph of a system of two equations is shown. What is the solution of the system?
Answer:
x = 1
y = 2
Step-by-step explanation:
the intersecting point is (1,2)
