Answer:
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-6" was replaced by "^(-6)".
Equation at the end of step
1
:
34
{——}2
1
STEP
2
:
34
Simplify ——
1
Equation at the end of step
2
:
((3-6) • x) • (34^2)
Equation at the end of step
3
:
((3)(-6) • x) • 38
Dividing exponents:
4.1 38 divided by 36 = 3(8 - 6) = 32
Final result :
9x
The simplification of the given expression gives the value 9.
What is simplification?Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.
This can be done using various results or the basic operations of numbers.
Given expression is 3⁻⁶ × (3⁴ / 3⁰)².
We have to use product rule and quotient rule of exponents to simplify this.
We know that,
xᵃ × xᵇ = xᵃ⁺ᵇ
xᵃ / xᵇ = xᵃ⁻ᵇ
Also, (xᵃ)ᵇ = xᵃᵇ
3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴
Substituting,
3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²
= 3⁻⁶ × 3⁸
= 3⁻⁶⁺⁸
= 3²
= 9
Hence the simplified form of the given expression is 9.
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Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
If Latisha works [tex]x[/tex] hours each day
Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day
So for a [tex]5[/tex]-day working week, Demetrius will work
[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]
If we remove the brackets, we have the equivalent expression
[tex]5(x+1)=5x+5[/tex]
So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
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Factor 42x+28y using the GCF
Answer:
14 (3x+2y)
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
i hope this helps or some-what helps
Step-by-step explanation:
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50
Answer g
Step-by-step explanation:
g
Answer:
don't know i tell true
Step-by-step explanation:
Which event is important enough to include in a summary of this
story? Add the event to the chart.
D Event
Event
Event
Hester gives Ms.
Walker the letter
explaining her idea.
Ms. Walker agrees
to consider
Hester's idea.
?
Hester repeats a
*) phrase in her mind
over and over.
D
Hester packs up
her things when
the bell rings.
D
Hester returns to
her desk to read
her book.
Hester learns
about another way
to boost her grade.
When making a summary, it is important to read and understand the text which you are writing.
What is a Summary?This refers to the concise representation of the main points of a literary text without the use of bias.
Hence,w we can see that because the question is incomplete, you would need a general overview to understand it, so it would be best if you:
Read the given textUnderstand the plot and characterizationFollow the Rising Action, Climax, and Falling ActionList out the main pointsThen, join them in order of occurrence.Read more about summary here:
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Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC
According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]
[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC
= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]
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Simplify:
(a^-2)^-3 divided by (a^5)^-1
Hi,
.
[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]
.
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]
=>
[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]
.
.
I hope it helped ✅(•‿•)
factor the expression 9x^2+4 explain your steps if not possible explain why not
what does FSS stand for in math
Answer:
frequency-selective surface (FSS)
8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)
Answer:
B
Step-by-step explanation:
10/100 = /0.1. it should be more than x so add x to it to be 0.1+X
at the water treatment plant, a half empty tank is being filled with waste water at a rate of 850 gallons per minute. After 15 minutes the tank has 35,000 gallons of waste water. Write an equation in standard form that relates the amount of waste water in the tank, y , to the number of minutes, x, that the tank has been filling
Answer:
850x = y
Step-by-step explanation:
- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/2 of a bale
Step-by-step explanation:
1/4 times 2 equals 1/2
A small cup holds 75% as much as a large cup. If the small cup holds 36 units, how much does the large cup hold?
Answer:
48
Step-by-step explanation:
75/100 = 36/x
x = 48
Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Trent pay?
1 – 2x + 3y for when X = – 2 and y = – 5
Answer:
-12
Step-by-step explanation:
1-2x+3y
1-2(-2)+ 3(-5)
1-4-9
= -12
a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the
ground?
BRANLIEST FOR CORRECT ANSWER
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =
∠ TXY
∠ XTY
∠ XYT
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =
∠ XYT
∠ TXY
∠ XTY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =
TX
XY
TY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =
TX
XY
TY
Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =
∠ FCE
∠ FEC
∠ EFC
Why is ▲MAE ≅ ▲TON?
HL
HA
LL
All of the following are ways to prove triangles congruent except
SAS
SSA
ASA
SSS
Answer:
Step-by-step explanation:
△ RST ≅ △ TXY
We are given ΔRST and ΔTXY are congruent to each other.
If two triangles are congruent to each other then their corresponding parts are equal.
Please see the attachment of two triangles.
∠R is corresponding to ∠T
∵ ∠R=∠T By CPCT
∠XYT is corresponding to ∠STR
∵ ∠XYT=∠STR By CPCT
∠XTY is corresponding to ∠SRT.
∵ ∠XTY=∠SRT By CPCT
∠TXY is corresponding to ∠RST
∵ ∠TXY=∠RST By CPCT
CPCT: Congruent part of congruence triangle.
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups
PLEASE HURRY ITS A TEST AND TIMED
You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?
Answer:
200 candles
Step-by-step explanation:
20*10 = 200
The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 more apples than pears. How many pears were there in the basket?
Answer:
6 pears
Step-by-step explanation:
The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.
The original ratio is ...
6 pears : 10 apples
There were 6 pears in the basket.
PLEASE HELP. Select the correct shapes.
Select the shapes that are similar to shape A.
Answer:
There is only one shape who is similar to A which is the pink one.
Step-by-step explanation:
Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?
In problem #1, how much does Mrs. Hill have to pay?
Answer:
28.00
Step-by-step explanation:
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
John had $55. He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the amount of money he had after splitting the money with his cousins.
55 – 3 • 9 + 12 ÷ 3
Based on this expression, what is the amount of money John had remaining?
A.$160
B.$32
C.$24
D.$20
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
Someone please help me!!
Answer:
answer attached: x = 5√2
Step-by-step explanation:
Answer:
Step-by-step explanation:
All of the right triangles are similar. This means ...
long side / short side = x/2 = 25/x
Multiplying by 2x gives ...
x² = 25·2
x = (√25)(√2)
x = 5√2
_____
Additional comment
The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.
There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.
Left side = √(2·27) = 3√6
Bottom side = √(25·27) = 15√3
Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)
A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored
Answer:Nooo please don’t put B. It’s A,C, and D
Step-by-step explanation:
