Answer:
-64
Step-by-step explanation:
-2 × 2 × 2 = -8
2 × 2× 2 = 8
-8 × 8 = -64
Which property is illustrated by the following?
If 2(x+y)=z, then 2x+2y=z
Find the surface area of the prism.
1.
10 cm
-
-
2 cm
8 cm
Answer:
232
Step-by-step explanation:
write 3x-7+2(2x-7) as the product of 7 and another factor
Answer:
7x - 3)
Step-by-step explanation:
Given
3x - 7 + 2(2x - 7) ← distribute parenthesis
= 3x - 7 + 4x - 14 ← collect like terms
= 7x - 21 ← factor out 7 from each term
= 7(x - 3)
The expression 3x - 7 + 2(2x - 7) can be written as the product of 7 and the factor (x - 3).
We have write the expression 3x - 7 + 2(2x - 7) as the product of 7 and another factor.
we can simplify the expression first and then factor out the common factor of 7.
Let's simplify the expression step by step:
3x - 7 + 2(2x - 7)
= 3x - 7 + 4x - 14 (distributing the 2 to the terms inside the parentheses)
= (3x + 4x) + (-7 - 14)
= 7x - 21
Now, let's factor out the common factor of 7:
= 7(x - 3)
To learn more on Expressions click:
https://brainly.com/question/14083225
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The population of a city decreases by 1.2% per year. If this year's population is
191,000, what will next year's population be, to the nearest individual?
Answer:
188,708
Step-by-step explanation:
191,000 x 0.098 = 2292
Decreases = Subtract
191,000 - 2292 = 188,708
Unit Exam: Rational Numbers
3 of 83 of 8 Questions
Question 3
Write 0.31¯¯¯¯¯ as a simplified fraction.
Perform the indicated operations. Write the answer in standard form, a+bi.
5-3i / -2-9i
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\ [/tex]
Multiply both numerator and denominator of [tex]\sf \frac{5-3i}{-2-9i} \\ [/tex] by the complex conjugate of the denominator, -2+9i.
[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\ [/tex]
Multiplication can be transformed into difference of squares using the rule: [tex]\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}[/tex].
[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\ [/tex]
By definition, i² is -1. Calculate the denominator.
[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\ [/tex]
Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.
[tex] \large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\ [/tex]
Do the multiplications in [tex]\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)[/tex].
[tex] \large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\ [/tex]
Combine the real and imaginary parts in -10+45i+6i+27.
[tex] \large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\ [/tex]
Do the additions in [tex]\sf-10+27+\left(45+6\right)i[/tex].
[tex] \large \bf Re(\frac{17+51i}{85}) \\ [/tex]
Divide 17+51i by 85 to get [tex]\sf\frac{1}{5}+\frac{3}{5}i \\ [/tex].
[tex] \large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\ [/tex]
The real part of [tex]\sf \frac{1}{5}+\frac{3}{5}i \\ [/tex] is [tex]\sf \frac{1}{5} \\ [/tex].
[tex] \large \boxed{\bf\frac{1}{5} = 0.2} \\ [/tex]
PLEASE HELP ME ON B.
Answer:
A) 1.25 inches
B) 2 inches
C) 3 inches
Step-by-step explanation:
[tex]\frac{d}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{d}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{d+2}{4}[/tex]
A) 3
[tex]\frac{d+2}{4}[/tex] = [tex]\frac{3+2}{4}[/tex] = 5/4 = 1.25
B) 6
[tex]\frac{d+2}{4}[/tex] = [tex]\frac{6+2}{4}[/tex] = 8/4 = 2
C) 10
[tex]\frac{d+2}{4}[/tex] = [tex]\frac{10+2}{4}[/tex] = 12/4 = 3
i don’t understand at all
Answer:
26
Step-by-step explanation:
It says find f(f(2)), so we need to find f(2) and then input that into the same function. f(2)=5 so then we input that into the function again and get 26. Boom.
Answer:
26
Step-by-step explanation:
Ok first u find f(2) so for that u have to input 2 into the value of x. So 2^2 +1 =5
When we get 5 we input THAT into f(x)
So:
F(5) = 5^2 +1
=26
vggggggvcghbfggcchubvg
can someone solve this for me please
Answer:
it is 3/5 or 1.666666666667
10/6 and 3/5 will still give the same answer
plssss mark brainliesttt
Answer:
3:5
Step-by-step explanation:
someone help me please
Answer:
8
if u look closely,triangle abc has 4 identical triangle def in it.
Can someone help me solve this?
Answer:
9 units
12×3/4
plss mark brainliesttt
465,321;456,321;456,231. Order from least to
greatest
Please help me, I really have to get this right or i’ll get my grade dropped. :/
Answer:
C. Q was flipped over the y axis
−4v−4v>8 What’s the answer
Answer:
If you have to solve for v, it's v<-1
interval notation: (- ∞, -1)
Step-by-step explanation:
Look at the equation shown.
x3 = -27
What is the value of x?
-9
-3
3
9
Answer:
x = - 3
Step-by-step explanation:
-3 x -3 = 9 x -3 = -27
Answer:
Required answer is -3
On cubing -3 we get -27
So x= -3
.
.
Hope it helps
(Please help) What is the rate of change of y with respect to x?
answer will be 2÷18=9
and the answer is 9
please mark this answer as brainlist
Please help as soon as possible.. thanks
Answer:
0.5 is correct answer hope it helps
Helppppppp meeeeee pleaseeeee
Hello!
The slope equation is y = mx + b
mx is the slope and b is the yintercept.
4. y= -3x + 5
See where I put the slope and y intercept above?
Those are where the numbers go in that equation.
5. 3x + y = 5
The standard for equation is: Ax + by = c
y = -3x + 5
we need to make the equation look like the standard form equation.
y = -3x + 5
lets add 3x to both sides
The answer is 3x + y = 5
6. m = [tex]\frac{3}{2}[/tex]
We need to use this formula: [tex]m=\frac{y2-y1}{x2-x1} \\\\\\[/tex]
The points said are: (2, 5) and (4, 8)
[tex]m=\frac{8-5}{4-2}[/tex]
m = 3/2
M is the slope.
---------------
I hope this helps,
Have a great day!!
The average weight of three dogs is 55 pounds, and the average weight of five cats is 9 pounds. What is the average weight, in pounds, of all eight animals?
(A) 8
(B) 12.5
(C) 21.75
(D) 26.25
(E) 46
Answer:
Option D is correct
Step-by-step explanation:
Statement 1
Average weight of 3 dogs = 55 pounds
Total weight of 3 dogs = 55 × 3
Total weight of 3 dogs = 165 pound
Statement 2
Average weight of 5 cats = 9 pounds
Total weight of 5 cats = 9 × 5
Total weight of 5 cats = 45 pounds
New Average = 165 + 45/8
New Average = 210/8
New Average = 26.25 pounds
Answer:
D 26.25
Step-by-step explanation:
55× 3 + 9×5 = 210
210 ÷ 8 = 26.25
Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path and the last tree is planted at the end of the path. Calculate the total number of trees planted.
Distance between first tree and last tree is 140m .
And distance between each tree (d) = 5 m
let's solve for number of trees (n) :
[tex] \hookrightarrow \: (n - 1)d = 140[/tex]
[tex] \hookrightarrow \: (n - 1)5 = 140[/tex]
[tex] \hookrightarrow \: n - 1 = \dfrac{140}{5} [/tex]
[tex] \hookrightarrow \: n = 28 + 1[/tex]
[tex] \hookrightarrow \: n = 29[/tex]
hence, total number of trees = 29.
Using the distributive property to solve linear equations 4-2(x+7)=3(x+5)
Answer:
Solution
=−5 that is the answer im positive
Step-by-step explanation:
4-2x+14=3x+15
-2x-3x=18+15
-5x=33
x=33/-5
After 1 year, the value of a car decreases by 19%. The car is now worth £3078. What was the value of the car originally?
Answer:
3800
Step-by-step explanation:
Variables:
O - Original cost
N - New cost
c - change factor
Step 1:
Recognize that if something decreases by 19%, it is worth 19% less
This means that the new price, fractionally, is 100% - 19% = 81%
So we can use c as 0.81 (81/100)
Step 2:
Write an equation to represent what is happening
N = O * c
Step 3:
Sub in what we know
3078 = O * 0.81
Step 4:
Rearange and solve
O = 3078 / 0.81 = 3800
Which diagram best represents the relationship among integers, rational numbers, and whole
numbers?
Answer:
Step-by-step explanation:
I think it the choice of A and D
Calculate the marked price of an article where discount rate is 10% and amount of discount is Rs.200.
Answer:
Rs :140
Step-by-step explanation:
M.P. = Rs. 200, Discount =12.5%
∴S.P.=200−12.5 % of 200
=200−
100
12.5
×200
=200−25.0=175
Therefore, profit =25 %
∴C.P.=
100+profit%
100
×S.P.=
125
175×100
= Rs. 140.
help me plsssssssssssssssssssssss
Answer:
7) 1.45
8) -2.3
9) -115
10) -213
11) -4
12) 150
hope it helps
Divide. Then Round to the nearest tenth.
567.78 / 1.56 =
Answer:
364.0
Step-by-step explanation:
567.78/1.56
=363.96153846
=364.0
Please give an explanation as well as an answer :)
Answer:
the answer is D
Step-by-step explanation:
as you can all of the other circles have stars and crosses but circle d has a question mark
Supposed (4.2 s, 9.6 ft) and (6.7 s, 12.3 ft) are points on a graph of a linear function.
What is the slope of the graph in decimal form.
The slope of the graph in decimal form is 1.08.
By geometry we know that a line can be constructed after knowing the location of two distinct points. Lines in explicit form are defined by slope and intercept, the former is calculated by the secant line equation and the intercept by solving a linear function.
If we know that [tex](x_{1}, y_{1}) = (4.2, 9.6)[/tex] and [tex](x_{2}, y_{2}) = (6.7, 12.3)[/tex], then the slope of the graph is:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m = \frac{12.3-9.6}{6.7-4.2}[/tex]
[tex]m = 1.08[/tex]
The slope of the graph in decimal form is 1.08.
We kindly invite to see this problem related to linear functions: https://brainly.com/question/21604915
solve for B
–13b–12>3 or 14b–11≥–3
Write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form.
Answer: b < -15/13 or b ≥ 4/7
Step-by-step explanation:
-13b - 12 > 3 can be simplified to -13b > 15 through subtraction. Then, dividing by a negative number flips the greater than sign to a less than, so you get b < -15/13 .
The other equation can be solved in the same way. 14b ≥ 8 is found through addition; and dividing by a positive number doesn't flip the greater than or equal to sign, so you end up with b ≥ 8/14, which simplifies to b ≥ 4/7.
These solutions diverge, or go in opposite directions: one is a less than equation, and the other a greater than, so you're looking for an answer with an 'or' in between them. Therefore, you can eliminate the answers on the top left and bottom right, which converge.
You can also eliminate the answer on the top right, because it has a less than or equals to symbol in the b < -15/13 equation where it's supposed to be a simple < symbol.