Answer:
5^9
Step-by-step explanation:
125=5*5*5
125^3=125*125*125
125*125*125=3*(5*5*5)
the answer 5^9
The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
What is the power rule?The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.
It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,
[tex]n=125^3[/tex]
Rewrite the number with multiples of 125.
[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]
By the power rule, the above expression can be rewritten as,
[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]
Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
Learn more about the power rule here;
https://brainly.com/question/819893
Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)
A) 3.1 B) 60 C) 12 D) 30
The basketball gym at Dustin's school was built in the 1940s and needs a lot of repairs. So, the school is asking families for donations to build a new gym. Dustin convinced some local businesses to match a fraction of the families' donations. There is a proportional relationship between the amount of money a family donates (in dollars), x, and the matching contribution (in dollars) from local businesses, y. When a family donates $12, the businesses contribute $9. Write the equation for the relationship between x and y.
Answer:
The equation representing the relationship between x and y is that;
4y = 3x
Step-by-step explanation:
Here, we want to write a relationship.
From the question, we are told that the amount donated by the family which is x dollars is proportional to what local businesses gave.
From the question, there was an example in which a family gave $12 and local businesses gave $9
So let us establish a relationship using ratio of x to y
Thus;
12/9 = x/y
12y = 9x
4y = 3x
Huang Yi works as a paleontologist and a sculptor. She earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. Huang Yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. In the inequality shown above, PPP represents the number of months Huang Yi can work as a paleontologist and SSS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?
Answer:
4 months
Step-by-step explanation:
Let P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal.
If she works for P months as an paleontologist, her income would be 5500P while if she works for S months as a sculptor her income would be 4500S.
Her total income = 5500P + 4500S
Since she wants to earn more than $50000, hence:
5500P + 4500S > 50000
Given she worked as a paleontologist for 6 months, therefore:
5500(6) + 4500S > 50000
33000 + 4500S > 50000
4500S > 50000 - 33000
4500S > 17000
S > 17000/4500
S > 3.78
S > 4
The minimum whole number of months that she must work as a sculptor to reach her goal is 4 months
If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?
What expression is equivalent to: 100
Answer:
10 x 10, 2 x 50
Step-by-step explanation:
Find the lower quartile of this data set: 593, 588, 540, 434, 420, 398, 390, 375
Group of answer choices
Step-by-step explanation:
thanks thanks thanks thanks thanks
Help plz I will give brainliest if it's right
Answer:
66
Step-by-step explanation:
let, the missing angle be x.
x= 66°{being the corresponding angle}
: the value of missing angle is 66°
How do you solve 25-3x40
Answer:
-95
Step-by-step explanation:
multiply before you subtract
can someone help me to solve this question?
Answer :
Width : 9
length: 3.6
The perimeter will be 25.2
-----------------------------------------------------------------------------------------------------------------
Show your work : Since the length and width are 3 times bigger have to multiply the old one by 3
so 1.2 times 3 = 3.6
so 3 times 3 = 9
thats the length
to find the perimeter its 2L + 2W
2(3.6) + 2(9)=25.2
Sixty percent of the profit was used to pay the investors. If $15,000 was not used to pay the investors, what was the
total amount of profit?
please please help i have a pretest that’s due in 40 mins i will mark anyone as 5 stars
a line in point-slope form that goes through the points (8,-9) and (-4,15).
Answer: The answer is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Evaluate the expression m +(3n - 5)2 when m = 6 and n = 4.
m+ (3n - 5)2 = 6+ (3. 4 – 5)2
What’s the answer
Answer: 55
Step-by-step explanation:
M + (3n - 5)² = 6 + (3 x 4 – 5)^²
* 6 + (7)²
* 6 + 49 = 55
Sorry if the other answer misleads you. Here is the real answer!
The answer to the expression m +(3n - 5)² is 55.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
m +(3n - 5)²
Now, put the value of m= 6 and n= 4 we get
m +(3n - 5)²
= 6 +(3(4) - 5)²
= 6 +(12 - 5)²
= 6 +(7)²
= 6+ 49
= 55
Hence, the answer is 55.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
Find the value of x.
12x +3
11x + 9
x = 6
x = 3
O x = 12
O x = -6
Answer: 69
Step-by-step explanation: I got it right
What is an equation of the line that passes through the points (-2,-5) and (4,7)
Answer:
y=2x-1
Step-by-step explanation:
the other person is wrong
For three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
ADD YOUR ANSWER or three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
Question
For three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
Two rival cleaning companies charge to dust houses. Captain Dustsalot charges
$20 per house call plus $ 12 per room, and Dedusters charges $30 per house call
plus $10 per room. Abigail wants to know how many rooms she must get dusted
so that Captain Dustsalot is more expensive than Dedusters. Which inequality
should she use to figure this out if x represents the number of rooms she gets
dusted?
Answer:
6 rooms
Step-by-step explanation:
20+12x=30+10x
12-10=2
20+2x=30
30-20=10
2x=10
10/2=5
5 rooms to make them equal so 6 rooms to make captain datalot more
The inequality is 20+12x> 30 +10x.
what is an inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
Captain Dustsalot charges
$20 per house call
$ 12 per room
Dedusters charges
30 per house call
$10 per room
let x represents the number of rooms she gets dusted.
so, inequality that represents rooms she must get dusted so that Captain Dustsalot is more expensive than Dedusters.
20+12x> 30 +10x
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
Order from least to greatest
Answer:
|-3|, |-3.52|, |8|, |-11|
Step-by-step explanation:
Hope this helps my guy
Answer:
Well, this is fairly simple.
Step-by-step explanation:
Those | | on either side of all the numbers are absolute value lines.
Those things are everyone's best friend. They turn every number positive, and essentially make your day better.
So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.
If I'm wrong, go ahead, shoot me. Sounds lovely.
2(6+y) of the expression
Answer:
12+y
Step-by-step explanation:
12y
Step-by-step explanation:
2 multiplied by all the products in the bracket
Turn 2 x 10° to
standard form
Answer:
It already is in standard form
Step-by-step explanation:
the answer to that equation is 2 which means it's between 1 and 10. therefore it's already in standard form or "scientific notation"
Factor 12x2+ 4
Factor x2-7x+12
Hi I need these factored please
Factor 12 × 2+ 4=28
Factor x2-7x+12=(x-3) (x-4)
Gianna has 36 yards of fabric to make sets of
matching placemats and napkins. How many
matching sets can she make?
please answers soon and answer correctly.
Q4. Write these numbers in order of size, smallest first.
1 -5
2-4
3 -3
4-2
5-1
Answer:
-5
-4
-3
-2
-1
Step-by-step explanation:
The biggest negative number is always the smallest, then you go on from there
There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)
Answer:
196 students are going on the field trip
Step-by-step explanation:
Y = 98% * 200
Converting percent to decimal:
p = 98%/100 = 0.98
Y = 0.98 * 200
Y = 196
I hope this helps
The table represents some points on the graph of a linear function.
х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?
Answer:
y=-3x-10.5
Step-by-step explanation:
Let's use the first set of numbers.
-7.5 and 12
-3.5 and 0
Our rise here is -12 and run is 4. So, our slope is -3.
Now we just need our intercept.
y = mx + b
y = -3x + b
0 = -3(3.5) + b
b = -10.5
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table represents some points on the graph of a linear function.
х у
-7.5 12
-3.5 0
-1 -7.5
2 -16.5
3.5 -21
Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,
y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)
y = - (1/3)(x + 3.5)
3y = - x - 3.5
x + 3y + 3.5 = 0
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ5
The amount of time it takes a car to travel a certain distance is shown in the table. Choose the statement below that best describes the appearance of the graph of the relationship between time traveled and distance traveled. *
10 points
Captionless Image
A. A straight line that passes through the origin.
B. A curved line that passes through the origin.
C. A curved line that does not pass through the origin.
D. A straight line that does not pass through the origin.
Answer:
Step-by-step explanation:
-Distance traveled is always the magnitude of the displacement vector. ... A car travels around a circular track clockwise (as viewed from above) at constant speed. ... Select all of the position versus time graphs below that could possibly correspond to this ... A straight line with a slope of 10 m/s that passes though the origin
Angle Pairs Relationships HW
Accessibility Mode
Pictures above
Find the value of each variable
1. A= ?
B= ?
C=?
2. A=?
3. A=?
B=?
C=?
Answer:
Step-by-step explanation:
1. A = 68
B = 112
c = 68
2. A = 127
3. A = 70
B = 55
C = 25
The other answer on the red box is 7.
Answer:
8
Step-by-step explanation:
that is an isosceles triangle. they have 2 sides that are the same
8*4 is 32+7 is 39
9*8 is 72-33 is 39
The scale factor to dilate from rectangle A to rectangle B is ?
Answer:
c
Step-by-step explanation:
Solve for x if 5x + 2(x - 3) = 7x - 6
Help me plsss
Answer:
x = 3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x + 29 (x − 3) = 7x − 6
5x + (29) (x) + (29) (−3) = 7x + −6 (Distribute)
5x + 29x + −87 = 7x + −6
(5x + 29x) + (−87) = 7x − 6 (Combine Like Terms)
34x + −87 = 7x − 6
34x − 87 = 7x − 6
Step 2: Subtract 7x from both sides.
34x − 87 −7x = 7x −6 −7x
27x − 87 = −6
Step 3: Add 87 to both sides.
27x − 87 + 87 = −6 + 87
27x = 81
Step 4: Divide both sides by 27.
27x/27 = 81/27
x = 3
Hope it helps!!
Answer:
[tex]x=0[/tex], or [tex]0=0[/tex]
Step-by-step explanation:
[tex]5x+2\left(x-3\right)=7x-6[/tex]
[tex]Expand\:2(x-3):2x-6[/tex]
[tex]5x+2x-6=7x-6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:5x+2x=7x[/tex]
[tex]7x-6=7x-6[/tex]
[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]
[tex]7x-6+6=7x-6+6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]7x=7x[/tex]
[tex]\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}[/tex]
[tex]Simplify[/tex]
[tex]0=0[/tex]
[tex]\mathrm{Both\:sides\:are\:equal}[/tex]
[tex]\mathrm{True\:for\:all}\:x[/tex]