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Complete Question
Raymond and Rose were working with exponents.
Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.
Answer:
Part A : Rose is correct
Part B : Raymond is correct
Step-by-step explanation:
Part A:
Raymond claims that 5⁵ * 5² =5³
Rose argues that 5⁵ * 5² = 5⁷.
Which one of them is correct?
Rose is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a × x^b = x^a+b
From the above question, following the above rule we have:
5⁵ * 5² = 5⁵+²
= 5⁷
Hence, Rose is correct.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.
Which one of them is correct?
Raymond is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a / x^b = x^a-b
From the above question, following the above rule we have:
7⁹/7⁵ = 7⁹-⁵
= 7⁴
Hence, Raymond is correct.
Find the distance between the following points:
A(9,2) and B(3,6).
Answer:
d = 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]
Joes mother gave him 1/3 of the money in her purse. His father gave him 5.00. If they gave joe a total of 12.00, How much money did his mother have in her purse. Joes mother had $ money in her purse (Enter a number only and make sure to include the decimal and 2 numerical decimal places.)
Answer:
$21Step-by-step explanation:
let the money in her purse be $x
1/3 of the money is 1/3x
Since his father gave him $5 and the total amount became $12
the expression for the total amount would be
12= 1/3x+5
We can now solve for x
12-5= 1/3x
1/3x= 7
cross multiply we have
x= 7*3
x= $21
Therefore the money in joes mother's purse is $21
0.28 + 0.2x = 1.5 ÷ 3 · 6.2 − 1.3
which equation shows P=2l + 2w when solved for w?
A. w= 2l/P
B. w= 2l-P/2
C. w=2l - p/2
D. w=p-2l/2
Solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
Change of Subject of FormulaTo make a variable a subject of the formula, we solve for the variable.
Given the equation, P=2l + 2w, we are required to solve for w.
Thus:
P = 2l + 2w
Subtract both sides by 2l
P - 2l = 2w
Divide both sides by 2
(P - 2l)/2 = w
w = (P - 2l)/2
Therefore, solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
Learn more about change of subject of formula on:
https://brainly.com/question/401564
2x^2 + 19x + 40 = -2
Answer:
X = - 7/2 or -6
Step-by-step explanation:
2x^2 + 19x + 40 = -2
2x^2 +19x + 40+2 = 0
2x^2 + 12x +7x+42= 0
2x(x+6) 7(x+6) =0
(2x+7) (x+6) = 0
2x+7 = 0
2x = -7
2x÷2=-7÷2
X= -7÷2 and
X+6=0
X=-6
how would you write .0000072 in scientific notation
Answer:
7.2*10⁶
Step-by-step explanation:
0.0000072 = 7.2*10⁶
By what number should 1 1/2 be divided to get 2/3 ? *
Answer:
1
Step-by-step explanation:
1) The equation is 1 1/2 ÷ x = 2/3
2) You can multiply 2/3 with 1 1/2 to get your answer
3) 2/3 × 1 1/2 = 1
Hope this helps!
Look at the two points on the number line. Each number
graphed is the square root of a whole number that is not
a perfect square. Write the appropriate square root in
each box. Explain how you found your answers.
Answer:
√8 and √23
Step-by-step explanation:
The appropriate square root are √7 and √20.
Given that, each number graphed is the square root of a whole number that is not a perfect square.
We need to write the appropriate square root in each box.
What is a square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.
So, 2.62²=6.8644≈7
Then the square root of number is √7
4.39²=19.2721
Then the square root of number is √20
Therefore, the appropriate square root are √7 and √20.
To learn more about the square root visit:
https://brainly.com/question/3120622.
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What is 5.6666 as a fraction
A car is driving at a rate of 3 kilometers per minute. What is the car's speed in meters per hour?
Answer:
180000 Meters per hour
Step-by-step explanation:
3 kilometers × 60 minutes (1 hour) = 180 kilometers per hour and then convert kilometers to meters
Answer:
The car's speed is 180,000 meters per hour.
Step-by-step explanation:
(3 km)/min×(1000 m)/(1 km)×(60 min)/(1 hr)=180,000 m/hr
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
10.77
Step-by-step explanation:
√(4-0)²+(10-0)²
√4²+10²
√16+100
√116
10.77
Answer:
11
Step-by-step explanation:
For this problem, we simply need to apply the distance formula:
distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]
distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]
distance = sqrt[ (10)^2 + (4)^2 ]
distance = sqrt[ 100 + 16]
distance = sqrt [ 116 ]
distance ~= 10.77
The approximate distance rounded to a whole number is 11.
Cheers.
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
a - 2(4 - a) = 7a - 12
Step 2: Solve for a
Distribute -2: a - 8 + 2a = 7a - 12
Combine like terms: 3a - 8 = 7a - 12
Subtract 3a on both sides: -8 = 4a - 12
Add 12 on both sides: 4 = 4a
Divide both sides by 4: a = 1
Step 3: Check
Plug in x to verify if it's a solution.
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Find the slope of the line parallel to the given line.
y= 2/5x+2
Slope:
[tex]\sf{\dfrac{2}{5}}[/tex]
Explanation:
Parallel lines have the same slope, so the slope of y = 2/5x + 2 will be the same as the slope of the line which is parallel to it.
The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.
In slope intercept, the slope is always the number that comes before x.
For this equation, the number in front of x is 2/5.
So, I come to the conclusion that the slope of the line parallel to y = 2/5x + 2 is 2/5.
−3 2/7−(−5/7) plz help me
Answer:
-2 or -14/7 (they're the same)
Step-by-step explanation:
Write it out: [tex]-3\frac{2}{7} - (-\frac{5}{7})[/tex] Simplify. It should now look like this: [tex]-3\frac{2}{7} + \frac{5}{7}[/tex] Turn -3 2/7 into an improper fraction. It should now look like this: -19/7Add: [tex]-\frac{19}{7} + \frac{5}{7} = -\frac{14}{7} = -2[/tex]I hope this helps!
Answer:
- 2 ⁴/₇Step-by-step explanation:
-3 ²/₇ - ( - ⁵/₇)
- 23 / 7 + 5 / 7
_ 23 + 5
7
_ 18
7
- 2 ⁴/₇
How can I Solve this ?
Help! Will give brainliest
Which of the following could be rewritten as an addition problem of two integers with the same sign?
0-8-10
0 -8 + 10
08-10
O-8-(-8)
This can be written as -8 + (-10). Subtracting a positive is the same as adding a negative.
One way to think of negatives is to think of debt in money. Writing -8 means you are 8 dollars in debt. Add on 10 more dollars of debt and you'll be 8+10 = 18 dollars in debt total. So this is one way to see how -8-10 = -8+(-10) = -18.
Or you can think of it as if you are in a submarine. The number -8 could represent the idea you are 8 miles below sea level. Then if we subtract 10 from this, or add on -10, it means we're going down another 10 miles to get a total depth of 18 miles below sea level. At this point, we would write -18.
help pls pls plsssssss
Answer:
see explanation
Step-by-step explanation:
Given the points (a, c ) and (b, c )
Since the y- coordinates are equal the distance formula simplifies to
d = [tex]\sqrt{(x_{2}-x_{1})^2 }[/tex]
with x₁ = a and x₂ = b
d = [tex]\sqrt{(b-a)^2}[/tex] = b- a
If you can solve 3 problems every 5 minutes on a math test, a) how many problems can you solve in 90 minutes?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
(20 points & brainliest)
Answer:
Perimeter: 42cm
Area: 66cm^2
Step-by-step explanation:
Answer:
P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm
Step-by-step explanation:
Those are two rectangles. One total and deduct the missing piece.
P=2(l+w)
First: Total 12 by 9 rectangles = P42 cm
Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26
Thirs: add the missing lengts! 7 + 6 cm
Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.
Answer:
Step-by-step explanation:
Domain : Set of all possible input values (x-values) on a graph
Codomain : Set of all possible out values for the input values (y-values) on the graph
Range : Actual output values for the input values (x-values) given on the graph.
Therefore, for the given graph,
Domain : (-∞, ∞)
Codomain : (-∞, 2]
Range : (-∞, 2]
From the given graph every input value there is a image or output value.
Therefore, the given function is onto.
f(n+1)=f(n)-3 f(1)=15
Answer:
f(n+1) = 13
Step-by-step explanation:
We know that f(1) = 15So we can substitute this for f(n)-3With this:f(n+1) = f(1) -3 f(n+1) = 15-2f(n+1) = 13 select from the drop - down menus to correctly complete each statement
in a flowchart proof, _____ and ______ are connected with arrows ?
In a flowchart proof, statements and conclusions are connected with arrows.
In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.
As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.
See the diagram below.
Side note: the box on the left is also considered the antecedent because it comes before the conclusion.
The average distance across an ocean is 1,600 km. Two continents on either side of the ocean are converging at a rate of 0.0001 km/year. How long will it take for them to collide? The formula to find time is: time = distance/convergence rate. Solve.
Answer: 16,000,000 years
Step-by-step explanation:
The question already states the formula for time so
1600/0.0001= 16,000,000
Solve 7+3x-12x=3x+1 What does X equal?? plz help!
Answer:
x = 0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
7+3x-12x=3x+1
-3x =-3x cross out 3x
[tex]7-12x=1[/tex] subtract 7 on both sides
-7 =-7
[tex]-12x=-6[/tex] divide -12 into both sides
[tex]\frac{-12x}{-12} = \frac{-6}{-12}[/tex] cross out -12 and divide -6/-12 = 0.5
To check
7+3(0.5)=8.5 - 12(0.5)=2.5
3(0.5)=1.5+1= 2.5
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 2. passing through (6,2)
What is the point-slope form of the equation of the line?
Answer:
Step-by-step explanation:
y - 2 = 2(x - 6)
y - 2 = 2x - 12
y = 2x - 10
Honon spent 3 hours on homework yesterday while Sequoia spent
2 hours on homework. How much more time did Honon spend on homework than
Sequoia??
answer FAST
If we decrease the time it takes for a car to travel over the same distance, this will (2 points) increase the speed have no effect on velocity or speed decrease the speed decrease the velocity
Answer:
Increase the speed
Step-by-step explanation:
The only way to decrease the time it would take to travel over a distance would be to increase the speed.
Answer:
see below
Step-by-step explanation:
if time decreases.... the velocity will decrease.
ex.
d = v/t
100 m = v/10 sec v = 1000 m/s
100 m = v/5 sec v = 500 m/s
100 m = v/1 sec v = 100 m/s
therefore,
if we decrease the time it takes for a car to travel over the same distance,
the velocity decreases too.
Somebody plz answer just number 15 and 13
Thank you!!
Answer:
13. 60
15. 200
Step-by-step explanation:
These are the answers because:
1) Since they are asking us to round to the tens place or the hundreds place we have to look at the ones digit and the tens digit.
2) For 13, the answer is 60 because the rounding digit is 5. Since the digit is 5, we have to round up the digit in the tens place. Therefore, it becomes 60.
3) For 15, the answer is 200 because the rounding digit is 3. Since the digit is 3, we have to keep the same number. Therefore, the answer is 200.
Hope this helps!
Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Start with:
[tex]5x+2=3x+4(2x-1)[/tex]
Distribute the [tex]4[/tex] into [tex](2x-1)[/tex]:
[tex]5x+2=3x+8x-4[/tex]
Combine like terms:
[tex]5x+2=11x-4[/tex]
Add [tex]4[/tex] to both sides of the equation:
[tex]5x+6=11x[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]6=6x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]6[/tex]:
[tex]1=x[/tex]
or
[tex]x=1[/tex]
Are these correct? I haven't submitted it yet