Answer:
5^3
Step-by-step explanation:
Apply the property (ab)^n=a^nb^n
Apply property (a^n)^a^nm
Rearrange the terms so they are next to terms with same base
Apply the property a^n a^m=a^n+m
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
a line has slope -3 and the y intercept is 7. what is the slope intercept form of the line?
Answer:
y = -3x + 7
Step-by-step explanation:
[tex]y = mx + b[/tex]
m = slope
b = y intercept
eq:
[tex]y = - 3x + 7[/tex]
Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
16 – (3 – 4y) = 2(y + 2)
Answer:
[tex]y = -4\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]16-(3-4y) = 2(y+2)[/tex]
Distribute.
[tex]16 - 3 + 4y = 2y + 4[/tex]
Combine like terms.
[tex]13 + 4y = 2y + 4[/tex]
Subtract [tex]2y[/tex] from both sides.
[tex]13 + 2y = 4[/tex]
Subtract 13 from both sides.
[tex]2y = -9[/tex]
Divide both sides by 2.
[tex]y = -4\frac{1}{2}[/tex]
I hope this helps!
Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only
Answer:
Rick sells each guitar for 90$
3 1/4 x 6 1/2 x 2=? I need help please!!
Answer:
42.25
Step-by-step explanation:
Answer:
[tex]\frac{169}{4}[/tex] or 42.25
Step-by-step explanation:
If you turn the fractions into decimals they become easier to multiply.
1) 3.25 x 6.50 = 21.25
2) 21.25 x 2 = 42.25
will give branliest
Simplify the follow expression
3x + 8y + 13x
Answer:
16x+8y
Step-by-step explanation:
Let's simplify step-by-step.
3x+8y+13x
Combine Like Terms:
=3x+8y+13x
=(3x+13x)+(8y)
=16x+8y
please help asap!!!!!
Answer:
angle RQS
Step-by-step explanation:
Complete the equation so it has infinitely many solutions.
4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
;)
Answer:
im not sure
Step-by-step explanation:
Answer:
Thx for the points the answer is also 5
Step-by-step explanation:
Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}
Answer:
0
6
Step-by-step explanation:
<3
The ranges are:
f(x): {y | y ≤ infinity}
g(x): {y | y ≤ infinity}
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.
Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.
Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.
The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:
f(x): {y | y ≤ infinity}
For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.
The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.
Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:
g(x): {y | y ≤ infinity}
To learn more about the function;
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Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.
The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.
Answer:36
Step-by-step explanation:
You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)
what is the volume of the figure?
Answer:
944 cubic feet
Step-by-step explanation:
You need to take the area of the figure separately.
[tex]8*10*5=400[/tex]
[tex]17*8*4=544[/tex]
400 + 544 =944
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answer:
4, 7 ,2
Step-by-step explanation:
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
You are your friend are playing a game where you flip a coin and roll a fair four-sided die.
What about it?????????
Answer: is this the best ratio question
Step-by-step explanation:
solve this one problem 1X13 and only this problem the problem that says 1x13 no other problem.
11111111111111111111111111111111111111111+23333333333333333+000000000000999999999999999999999999999999=
Answer:
13
Step-by-step explanation:
because...math
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?
The price for one candle holder before taxes is $30.88.
What is a tax?It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.
The total payment including tax is $100.
The change received is $32.16.
The rate of sale tax is 6%.
The cost of one candle including tax is given by
(100 - 32.16) / 2 = 32.92
6% of a candle is given by
32.92 * 0.06 = 2.0352
The cost of one candle without tax is given by
32.92 - 2.0352 = 30.88
Hence, the cost of one candle without tax is $30.88.
To learn more about tax, use the link given below:
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If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets
Answer:
$63
Step-by-step explanation:
First, divide 28 by 4 to get 7
Now we know that one ticket cost $7.
Do 7 times 9 to get 63
9 tickets costs $63
9 movie tickets would cost $63.
Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.
May I have brainliest please? :)
Consider the inequality x + 7 < 9. Select all the true statements.
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
B. $184
C. $190
D. $223
Answer:
C
Step-by-step explanation:
There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14
Answer:
14:23
Step-by-step explanation:
14:23
Answer:
its 14-23
Step-by-step explanation:
Evalute the root in the question below in the screenshot
(precalc)
Answer:
Graph attached
Step-by-step explanation:
jenkins-traub method for the complicate calculation
it has 1 real root: 1.5164
2 complex roots : neglected
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
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Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.
Answer:
how bad do u need this answer 1 through 10
From the figure and statement provided, select the proper TO PROVE Statement.
If two parallel planes are cut by a third plane, the lines of intersection are parallel.
MN= 1AB
AB- BC= AC
M is parallel to
AB= BC
a is parallel to B
Answer: a is equal to b
Step-by-step explanation:
Answer:
a is parallel to b
Step-by-step explanation:
1.)
a^2b^3
---------- <-----write in expanded form.
cd
2.)what is the exact solution to the equation 4^5x=3^x-2
Please show all work I've been struggling to understand these questions!!!! thank you so much <3
Answer:
1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2.Exact solution x = -0.376
Step-by-step explanation:
Solution:
First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.
1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
Hence,
Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2) [tex]4^{5x} = 3^{x-2}[/tex]
Now, we have to find out the exact solution of the above equation:
In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.
So,
We are using logarithm to solve this equation.
Let's break this down:
[tex]4^{5x} = 3^{x-2}[/tex]
Taking log on both sides.
log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]
[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]
Dividing both sides by log(4)
[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]
value of log(3) = 0.4771
value of log(4) = 0.6020
[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =
5x = (x-2)0.792
5x = 0.792x - 1.584
by rearranging the equation, we get:
0.792x - 5x = 1.584
x(0.792 - 5) = 1.584
x(-4.208) = 1.584
x = -1.584/4.208
x = -0.376
Exact solution x = -0.376
What is the solution to the equation/x+4+3/2x+8 = 0?
O x=-12
O x=4
O x= 4
O x= 12