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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.
In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that.
At what position relative to sea level do the trout swim in the summer?
Given :
In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .
To Find :
At what position relative to sea level do the trout swim in the summer.
Solution :
Depth in spring from surface , [tex]D_s=30\ feet[/tex] .
Let , depth in summer is D .
Now , depth in summer relative to sea-level is :
[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]
Therefore , trout swim 50 feet deep below the sea level in the summer .
Hence , this is the required solution .
Answer:
-50
Step-by-step explanation:
bcuz it is
what property does this equation use.
If LM = NP , then NP = LM
-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric
Answer:
reflexive
Step-by-step explanation:
memorize it as the equal sign is a mirror that reflects so its the same!
Melissa read 4 books each week for 4 weeks. Amanda read 5 books a week for 4 weeks. How many more did Amanda read? Choose the answer that has the correct expression and the correct answer to the question .
Answer:
Amanda read 4 for than Melissa.
Step-by-step explanation:
Amanda read 20 and Melissa read 16. 20-16=4.
Answer:
5 x 4 – 4 x 4; Amanda read 4 more books than Melissa
Step-by-step explanation:
"How many more" means to subtract the products, not add them. Also, do the multiplication first before you subtract.
Help please.. for my sister .... I’m older and I don’t get this
Answer: C. Point M
Step-by-step explanation:
There are 10 tick marks. The tick marks could be guessed to be 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.50. 1/3 as a decimal is 0.33. The point should be between the(6th tick mark) 0.3 and (7th tick mark) 0.35 based on the assumed tick marks. Looking at the number line, the point that is between the 6th and 7th tick mark is M. Therefore, the answer is Point M.5/8 divided by 5 what is the answer in fraction form
Answer:
1/8
Step-by-step explanation:
the coordinate of point T are (6,12). The midpoint of ST is (3,-8). Find he coordinates of point S. the other endpoint is?
Answer:
(0, -28)
Step-by-step explanation:
Midpoint coordinates are equal to average of the value of endpoint coordinates.
One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)
So midpoint formula applied to both coordinates:
3 = (6+x)/2 ⇒ 6 = 6+ x ⇒ x = 6 - 6 ⇒ x = 0-8 = (12 + y)/2 ⇒ -16 = 12 + y ⇒ y = -16 - 12 ⇒ y = - 28Point S has coordinates of (0, -28)
SIMPLE: 25 pts!!! Find the area A of the polygon with the given vertices:)
Hey there! I'm happy to help!
We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself
10²=100
The area is 100 square units.
Have a wonderful day! :D
hellpppp!!!!!!!!!!!!
solve for v bellow. 8(z-5)=16
Answer:
z=7
Step-by-step explanation:
8(z-5)=16
Divide by 8
8/8(z-5)=16/8
z-5 = 2
Add 5 to each side
z-5+5 = 2+5
z = 7
Answer:
z = 7
Step-by-step explanation:
Expand 8 ( z - 5 ) = 16 first.
8z - 40 = 16
Move 40 to the other side.
8z = 40 + 16
8z = 56
z = 7
What is the product of –5 and –8?
–40
–13
13
40
Answer:
40
Step-by-step explanation:
This is the answer because:
1) Whenever you are multiplying negative integers, remeber these rules:
Negative x Positive = Negative
Positive x Negative = Negative
Negative x Negative = Positive
Positive x Positive = Positive
2) Since -5 and -8 are both positive numbers, the answer will be a positive product:
5 x 8 = 40
Therefore, the answer is 40.
Hope this helps! :D
Answer:
D
Step-by-step explanation:
EdgeCourseWare 2021
A gamestop you can buy a xbox one foe 150.00 and each game to go with it would cost 24.00 or you can buy a playstation 4 for 180.00 abd esch game for 20.00
Answer:
Let's write two linear equations:
For the Xbox, we have:
Price per console (you pay it only once) = $150.
Price per game = $24
Then, the total price if you buy x games, you have:
P1(x) = $150 + $24*x
For the Playstation we have:
Price per console (again yo pay it only once) = $180
Price per game = $20
So if you buy x games, the total price is:
P2(x) = $180 + $20*x.
Now, we can find the number x such that both prices are equal
P1(x) = P2(x)
$150 + $24*x = $180 + $20*x.
let's solve this for x.
$24*x - $20*x = $180 - $150
$4*x = $30
x = $30/$4 = 7.5
What does this mean?
If you buy less than 7.5 games (7 or less) then the Xbox will be cheaper, because the y-intercept is smaller.
If you buy more than 7.5 games (8 or more) then the Playstation will be cheaper, because the price per game is smaller.
Classity 2 and 1 using all relationships that apply.
Supplementary
Vertical
Complementary
Adjacent
Linear Pair
7
Pls help
Answer:
Vertical Angles
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross.
It is found that angle 2 and angle 1 are vertically opposite angles.
What is vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
WE have to Classity 2 and 1 using all relationships that apply.
Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.
Learn more about vertically opposite angles;
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The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?
Three is less than the sum of a number 8 and 4
Answer:
3<x+12
Step-by-step explanation:
solve for x: -8+22=13x-5-12x
Answer:
x = 19
Step-by-step explanation:
-8 + 22 = 13x - 5 - 12x
switch sides
13x - 5 - 12x = -8 + 22
group like terms
13x - 12x = -8 + 22 + 5
simplify:
x = 19
The population of a certain city decreased by 43,000 people.
Write a signed number to represent this population change.
A signed number to represent a given population change is -43,000.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Since the population of a certain city decreased by 43,000 people.
The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.
Thus, we can population change is shown by -43,000.
Hence, a signed number to represent this population change is -43,000.
Learn more about the number system here:
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help me with this qustion
Answer:
c
Step-by-step explanation:
Answer:it's c
Step-by-step explanation:
is the answer A),B),C) or D)?
Answer:
D) 2a-6
Step-by-step explanation:
Graham sold 6 less = -6
Than double what Adriania sold. = 2a
2a - 6
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50
off an order. Since the donut shop has gained popularity they have changed their coupon which
now provides a discount of only half their original coupon's value. What is the equation that
represents the value of a customer's order who uses the new coupon with their order?
The frequency table shows the distribution of 1,200 students at a high school. To the nearest percent, what percentage of females are freshmen or sophomores? Frequency Table of Student at a High School Seniors Total Freshmen Sophomores Juniors 168 128 166 146 Males 608 Females 160 592 134 162 136 328 264 306 302 1.200 Total 27% 50% 53% 23% My Progress
Answer:
23 percent
Step-by-step explanation:
The percentage of females who are freshmen or sophomores will be 50%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The frequency table shows the distribution of 1,200 students at a high school.
The frequency table is given below.
Then the percentage of females who are freshmen or sophomores will be
P = (134 + 162) / 592 x 100
P = 296 / 592 x 100
P = 0.5 x 100
P = 50%
Thus, the correct option is B.
More about the percentage link is given below.
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If m AOC=85, m BOC =2x+10, and m AOB=4x-15, find the degree measure of BOC and AOB
Answer:
angle AOC=85
also
angle AOC = angle AOB + Angle BOC
85= 2x+10+4x-15
or, 6x= 90
x=15
BOC=2x+10= 2*15+10=40
angle AOB = 4x-15=4*15-10=5=45
The coordinates of the point of the way from A to B are?
(Type an ordered pair.)
ANSWER: (12,11), (x,y)
12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.
The independent variable are the x values or domain and the dependent variable are the y values or range of a function
Answer:
Yes that is correct
A card is picked a random from the following set:
6,7,8,9
What is P(9)? Write as a Percentage
Answer:
25%
Step-by-step explanation:
There are 4 cards. Each one is a different number.
Only one card is a 9.
p(9) = 1/4 = 0.25 = 25%
y = x - 2 and y=-2x +7
Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please
Answer:
-2.4
Step-by-step explanation:
distribute the -4 and -2
add 12p to both sides
subtract 12 from both sides
divide
What is the image point of (6, 1) after a translation left 5 units and down 1 unit?
Could someone uh, help me? I’m a bit confused.
please help me out am so confused
Answer:
(i) 2197
Step-by-step explanation:
(i) 13^3
= (10+3)^3
= 10^3 + 3^3 + 3(10)(3) (10+3)
= 1000 + 27 + 90(13)
= 1027 + 1170
= 2197
Similarly you can solve the other two.a recipe for one pumpkin pie calls for 1 1/4 cups of sugar Elena only has 1/2 cup of sugar and she needs to make for pumpkin pies how many more cups of sugar does Elena need to make All 4 pies?
Answer: she would need four and a half cups more of sugar.
Step-by-step explanation:
You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps
Answer: 4 and 1/2
Step-by-step explanation:
You add together all of the sugar that she would have needed which is 1 1/4 * 4 and then subtract what she already had before which would give you 4 and 1/2 cups she would need.