===========================================
Explanation:
The expression 7^(-2)*7^6 simplifies to 7^4
We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6
In short, we add the exponents.
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In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.
Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4
This is why choice A is one equivalent expression.
----------
Choice D is the other equivalent expression since
(7^2)^2 = 7^(2*2) = 7^4
The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.
-----------
Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.
Then go through each answer choice to see which also produce a result of 2401.
If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?
Answer:
AAA
Step-by-step explanation:
GET ECKED
Answer:
13
Step-by-step explanation:
This is my first time posting, so sorry if this isn't that clear.
Anyways:
We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.
We can find the x-intercept by plugging in 0 as y. So:
x/4+0/12=1
x/4=1
x=4
a=4 (since a is equal to the x-intercept.)
We can find the y intercept by plugging in x as 0:
0/4+y/12=1
y/12=1
y=12
b=12
We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.
So, 12+4-3=13.
(In case you didn't know how I got y=-3x+12. This is how:
x/4+y/12=1
12(x/4+y/12)=1(12)
3x+y=12
y=-3x+12 )
PLZ HELP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected? (4 points)
a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
I think its c
Step-by-step explanation:
yes your answer is correct it's C
(4+5)(4-51) =
please help i don’t feel like doing math rn
Answer:
423
Step-by-step explanation:
Answer:
-423
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Why is the value of a substance’s specific gravity always the same numerically as its density?
HELP ME PLEASE!!!
Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
Because it is always the substance’s density multiplied by the density of water which is 1 g/cm 3
Because specific gravity is the inverse of density
Because these represent the same measurement
greetings i may be late but yes answer A is correct
Option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
What is Density?The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.
Given that the value of a substance’s specific gravity always the same numerically as its density.
Because density has units and specific gravity is dimensionless, the two are never the same, but they are numerically equal when three conditions are met
Density is measured in grammes per cubic centimetre, grammes per millilitre, or kilogrammes per litre
Density and Specific Gravity are measured at the same temperature
Hence, option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
To learn more on Density click:
https://brainly.com/question/29775886
#SPJ2
Use algebra titles to solve x + 7 = 9.
Answer:
2
Step-by-step explanation:
9-7=2
Answer:
x = 2
Step-by-step explanation:
Subtract 7 from both sides.
[tex]x+7=9\\\\x+7-7=9-7\\\\\boxed{x=2}[/tex]
Hope this helps.
Question 2 (5 points)
(07.02)
Simplify (3x - 5) + (3x + 6). (1 point)
Оа
бx - 1
Oь
1
Ос
бx - 11
Od
бx + 1
Answer:
Option d: 6x +1
Step-by-step explanation:
Item 11 You buy 2.6 pounds of apples and 1.475 pounds of peaches. You hand the cashier a $20 bill. How much change will you receive? You will receive $ change.
Answer:
$14.90625
Step-by-step explanation:
Using the conversion rate
$1 = 0.8 pounds
If you buy 2.6 pounds of apples and 1.475 pounds of peaches, the total cost of apple and peaches is expressed as:
= 2.6 pounds + 1.475 pounds
= 4.075 pounds
Convert to dollars
$1 = 0.8 pounds
$x = 4.075 pounds
cross multiply
0.8x = 4.075
x = 4.075/0.8
x = $5.09375
This means that the cost of the apple and peaches is $5.09375.
If you hand the cashier a $20 bill, the change that you will receive will be: $20 - $5.09375 = $14.90625
Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Answer:
B) Statement: slope of df = slope of bc
Reason: Transitive Property of Equality
Step-by-step explanation: i just took the test.
Answer:
C. Transitive Property of Equality
Step-by-step explanation:
A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?
Answer:
20%
Step-by-step explanation:
The dollar amount of the discount is $32.00 - $25.60 = $6.40
Now we need to find what percent of $32.00 is $6.40.
To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
part = $6.40
whole = $32.00
percent = $6.40/$32.00 * 100%
percent = 20%
3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units
9514 1404 393
Answer:
b) 19.31 units
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2-y1)²)
d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373
d ≈ 19.31 . . . units
-1 2/7 + 4 i really need to answer this.
Answer:
5 29/100
Step-by-step explanation:
google helps
Answer:
n = 5/4
Step-by-step explanation:
What is the approximate percent increase when the population of a town increases from 12,089 to 15,025? Round the population amounts to the nearest thousand to find an estimate of the percent increase.
The percent increase is approximately 10%.
The percent increase is approximately 25%.
The percent increase is approximately 33%.
The percent increase is approximately 80%.
Answer:
The percent increase is approximately 10%
Step-by-step explanation:
so in other words a is correct!
Answer:
B
Step-by-step explanation:
Took the test on Edg. Gotten it correct
Solve for r.
19.72 = 4r
Answer: R = 4.93
Step-by-step explanation:
19.72/4 = 4.93
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w
Answer:
Step 1
Step-by-step explanation:
Fairly easy question
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A.
x = 1, y = -6
B.
x = 1, y = -7
C.
x = 3, y = -6
D.
x = 3, y = -7
Answer:
C. x=3 and y=−6
Step-by-step explanation:
Step: Solvex−2y=15for x:
x−2y=15
x−2y+2y=15+2y(Add 2y to both sides)
x=2y+15
Step: Substitute2y+15forxin2x+4y=−18:
2x+4y=−18
2(2y+15)+4y=−18
8y+30=−18(Simplify both sides of the equation)
8y+30+−30=−18+−30(Add -30 to both sides)
8y=−48
8y8=−488(Divide both sides by 8)
y=−6
Step: Substitute−6foryinx=2y+15:
x=2y+15
x=(2)(−6)+15
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−6
Is reported is a linking verb or an action verb or a being verb need help ASAP 100 points
Answer:
Action verb
Step-by-step explanation:
Reported is an action verb
Answer: I'm pretty sure it's and action verb
Step-by-step explanation: a linking verb is something that brings the sentence together but an action verb is when you're doing something. Reporting is an action
Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)
f(x) = 100(x)5
f(x) = 500(2)
f(x) = 500(x)2
ОО
The answer fam is..... f(x) = 500(2)
Answer:
C.F(x) = 500(2)
Step-by-step explanation:
simplify 9x^2y^-3 for x=5 and y=3
Answer:
8 1/3 or 25/3
Step-by-step explanation:
Answer:
Exact Form: 25/3
Decimal Form: 8.3r (r = repeating)
Mixed Number Form: 8 1/3
What is 3x+7x=9-18? Math is confusing once you get into 7th grade.
Answer:
x-(-0.9)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0
Solve::10x+9 = 0
Subtract 9 from both sides of the equation::10x = -9
Divide both sides of the equation by 10::x = -9/10 = -0.900
Answer:
x = -0.9Step-by-step explanation:
3x+7x=9-18
10x = -9
x = -9 / 10
x = -0.9
Which student correctly translated the phrase "twice the sum of a number cubed and nine" and evaluated it for r = 3?
Antonio's work Jessica's work Maria's work Mark's work
2(r + 9)
2(r+ 9) 2+p3 +9 2 + 3r + 9
2(3 + 9)
2(3' + 9)
2 + 3² +9 2 + 3(3) +9
O
2(9+ 9)
2(27+ 9) 2 + 27 + 9
2 + 9 + 9
2(18)
2(36)
29 + 9
11 + 9
36
(72
38
20
O
Answer:
answer is B
Step-by-step explanation:
i did it in e2022
person above me gets brainliest
which is true regardless the graphed function f(x)
Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes. Complete the ratio of beats to minutes.
Answer:
220 to 4
Step-by-step explanation:
Your welcome
Plssss help me :( ASAP
find the perimeter of an equilateral triangle with side 8
Answer:
perimeter is equal to 24.
Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation
B.How much was Candice paid
(x - 45) / 3 = 192
Let's solve for x to find how much Candice was paid. Multiply both sides by 3
(x - 45) = 576
Add 45 to both sides.
x = 621
Candice was paid $621
please help important!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The initial fee of $12 would be the y-intercept because no matter how many boxes of cards you buy, the fee stays the same. The slope would be $3.99 because that fee is charged per box. The 100 cards per box is extra information and not needed in the equation. D is the only logical choice.
PLEASE HELP IM CHECKING MY ANSWERS!!!
Answer:
y=5x
Step-by-step explanation:
yes your correct
A)
Find The Value Of X When 6-2x = 6x-10x+6. The Value Is
Answer:
x = 0
Step-by-step explanation:
6 - 2x = 6x - 10x + 6
1. Isolate the variable (x)
Add 2x to both sides6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6
Subtract 6 from both sides6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x
2. Combine like terms
0 = 6x - 10x + 2x -> 0 = -2x
3. Solve
Divide both sides by -20 = x
*Note: 0 divided by anything is 0 so 0/-2 is 0
(unless it is 0/0 which equals 1)
What unit of metric of length is used in the machine manufacturing industry? for brainliest
Answer: In the metric system, it is the millimeter.
Step-by-step explanation:
Are the two triangles congruent? Why or why not?
Answer:I think yes, not sure tho
Step-by-step explanation:
Answer:
no because they arent the same size
Step-by-step explanation:
