The value of R in the line segment is R = 1
How to determine the value of r on the line segment?The given parameters on the line segment are:
Line segment DM = 26Point G is on the perpendicular bisector of DMSegment DG = R + 3Segment GM = 4R - 28Because the point G is on the perpendicular bisector of DM, then it means that
DM = DG + GM
This means that
26 = R + 3 + 4R - 28
Collect the like terms
So, we have
4R + R = 3 + 28 - 26
Evaluate the like terms
So, we have
5R = 5
Divide both sides by 5
So, we have
R = 1
Hence, the value of R in the line segment is R = 1
Read more about line segments at
https://brainly.com/question/2437195
#SPJ1
Find the smallest value of k if 360k is a perfect square
Answer:
k = 1
Step-by-step explanation:
since 360 = 60² , a perfect square , then
360 × 1 ← is a perfect square
that is 360k with k = 1 is a perfect square
what is the multiplicative inverse of
3/5 - 4/27 + 5/18 is it okay if i solve the equation and then the final answer i get i write multiplicative inverse of it as the final answer ..
Answer:
[tex]\frac{270}{197}[/tex]
Step-by-step explanation:
First I need a common denominator. That number is 270
4(x + 2)-2=6x-21-4+x)
Answer:
3.5 or [tex]\frac{7}2}[/tex]
Step-by-step explanation:
4(x+2)-2=6x-2(4+x)
4x + 8 - 2 = 6x - 8 + 2x
4x + 6 = 8x - 8
14 = 4x
x = 3.5 or [tex]\frac{7}2}[/tex]
⭐ Please consider brainliest! ⭐
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
The typical average price of gasoline should be $2.81 and not $2.69 because $2.69 is not the average of the sampled prices.
What is the mean of the sample?
We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.
Thus, to calculate the mean, we will use the formula;
Mean = ∑x/n
Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5
Mean = 14.05/5
Mean = $2.81
Thus, the typical average price of gasoline should be $2.81 and not $2.69
Read more about average mean at; https://brainly.com/question/20118982
#SPJ1
Solve by using the quadratic formula. Express the solution set in exact simplest form. y^2-7y-9=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]
number of gram in p gram?
Answer:
1 pound (lb) is equal to 453.59237 grams (g)
Sally can paint a room in 6 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;
T_Together=1/Rate_Together
=1/(1/3+1/6)=1/(1/2)=2 hours
draw a model to represent the following problem 12x6
Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples
Step-by-step explanation:
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)[tex]\frac{x}{3}[/tex]+6 > 12
⇒[tex]\frac{x}{3}[/tex] > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ9
255 divided 50 = ?
Pls help
Answer:
5.1
Step-by-step explanation:
How many GRAMS of aluminum are present in 1.40 grams of aluminum sulfate,
Al2(SO4)3?
54 grams of aluminium is present in aluminium sulphate Al₂(SO₄)₃.
What is meant by the term molecular mass/weight?A substance's molecular mass is the sum of the atomic masses of all of the atoms in the molecule of a substance.
It is applied to substances with molecules as constituent particles.The molecular mass expresses the mass of a molecule in relation to the mass of the 12C atom, that is assumed to be 12. Although molecular mass is indeed a dimensionless quantity, it is provided the unit Dalton or atomic mass unit to indicate that the mass is relative to 1/12th this same mass of a single carbon-12 atom.For the given question, the expression is;
aluminium sulphate Al₂(SO₄)₃
As three of aluminium is present in the aluminium sulphate.
And, molecular mass of one aluminium atom is 27 grams;
Thus, for 2 aluminium atoms = 2×27 = 54 grams.
Therefore, the compound aluminium sulphate contains 54 gram of aluminium in it.
To know more about molecular mass/weight, here
https://brainly.com/question/24191825
#SPJ9
show ur work you will get brainlest and 30 points if your right THANK YOU!!
I hope this pictures help
PLEASE HELP DUE TOMORROWW
5 divisible my 3 and 9
Answer:
5 is not divisible by 3 and 9 .
A company makes steel rods shaped like cylinders. Each rod has a radius of 3 centimeters and a height of 40 centimeters. If the company used 48,607.2 cm³
of steel, how many rods did it make?
Use 3.14 for, and do not round your answer.
Answer:
heheghgcfyhcggh I am a bit of a bit of a bit of a bit of a bit of a bit of a bit
Find the first derivative (x²+x-2)/(2x²-2).
how to find the answer using the quotient rule.
the first derivative of the given function is:
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
How to find the derivative?
The quotient rule says that, if f(x) = g(x)/h(x), then:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
In this case we know that:
g(x) = x² + x - 2
h(x) = 2x² - 2
The derivatives are:
g'(x) = 2x + 1
h'(x) = 4x
Replacing that we get:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
= ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²
Expanding the denominator we get:
f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
That is the first derivative of the given function.
If you want to learn more about derivatives:
https://brainly.com/question/5313449
#SPJ1
Translate into an expression T times B times 4
hi
"times " = multiply by
B*T*4 = 4BT (as it is the custom to put numbers before letters, and letters in alphabetic order)
5 is 1/2% of what number
What is 5+3 72 times
Answer: 576
Step-by-step explanation:
5+3 = 8
8*72=576
Answer:576
Step-by-step explanation: just add and multiply
Evaluate 2^x+5 when x=4
Answer:
=21
Step-by-step explanation:
2^4 equals 16, add 5 and its 21
2x2x2x2
\/
4x2x2
\/
8x2=16
Step-by-step explanation:
f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?
f(x) = 2^x + 5 , x = 4
f(4) = 2⁴ + 5
= 16 + 5
= 21
f(x) = 2^(x + 5) , x = 4
f(4) = 2^(4 + 5)
= 2⁹
= 512
What basic fact can you use to help you solve 500 × 4
Answer:
500 x 4
500 x 4
5 x 4 =
20
Add the two 00's from 500.
You get 2,000.
Step-by-step explanation:
Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.
Hope this helps.
Answer:2,000
Step-by-step explanation:
500x4
take the zeros
5x4=20
then add the zeros
it will be 2,000
In each equation below, the letter x stands for an unkn
number x stands for. Write down exactly how you do it
1.
X/5=7
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{x}{5} =7[/tex]
When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.
[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]
Hope this helps.
Answer:
x = 35
Explanation and Chcek part below
Hope this helps :)
Step-by-step explanation:
x
Fraction bar/divide ---> --- = 7
5
1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.
x
(5) -- = 7 (5)
5
x = 35
Check:
35
---- = 7
5
7 = 7
True statement.
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:
S-1.8x=6
gives the amount of sales (S) of statin in billions of dollars a years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2008?
Answer: People in the U.S. will spend
billion dollars on statins in 2008.
People of the US will spend 24 billons dollars on statins in the year 2008.
What is an equation?An equation sometimes represents the output for a given specified input.
The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.
Assuming x represents the number of years.
In the given question number of years is (2088-1998) = 10 years.
now we have to substitute these values in the sales of statins which will be
S - 1.8(10) = 6 in billions of dollars.
S - 1.8(10) = 6 billion dollars.
S - 18 = 6 billions.
S = 6 + 18 billions.
S = 24 billion dollars.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ1
The mouth of a large river has a flow of fresh water, amounting to 5,500,000 cubic feet per second. How many cubic meters per second pour out of the mouth of this
river? (Use 1 foot 0.305 meter.)
The rate of discharge is 1,54,550 cubic meter/sec.
This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.
Also we know that 1 foot = 0.305 meter.
The rate of discharge of water is given as 5,500,000 cubic feet per second.
So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.
Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]
= [tex]5,500,000*0.028[/tex]
= 1,54,550 cubic meter/sec
To learn more about conversion of units visit the link:
https://brainly.com/question/11543684
#SPJ9
algebra
(3x)^3 3^3 x^3 =????
Answer: 729x^6
Step-by-step explanation: I got this answer because I first multiplied the 3^3 which is 27
then the equation is 27x^3 times 3^3x^3. Then you do the same thing on the other side which is 27x^3. So 27x^3 times 27x^3. After that you multiple 27 and 27 which is 729, don’t forget your x^3 and x^3 which is x^6 so your answer is 729x^6.
You are getting ready to open a new bank account.
Create a list of 10 things that are the most important things to research and consider before choosing the bank or financial institution you would like to do business with.
The factors to consider before choosing a bank are;
1) The security of your funds.
2) The type of account you want to open.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates.
5) Cash Limits
6) Online Banking.
7) Trust factor.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
What are the factors to consider when choosing a bank account?
The factors to consider before choosing a bank are;
1) The security of your funds; This is important so that your funds are well protected against any type of fraud.
2) The type of account you want to open; This is also key because of operations.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates; This is important as one would like a higher interest rates on his savings.
5) Cash Limits; This is important because some banks have a withdrawal limit per day.
6) Online Banking; This is important as banking is now global and as such online presence is very key.
7) Trust factor; You need to be able to trust this bank enough to put your money there.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
Read more about choice of bank at; https://brainly.com/question/13404706
#SPJ1
what is the slope of a line parallel line whose equation is 5x-2y=2
Can someone help ????:)
Answer:
Step-by-step explanation:
1. 65,700. 65,740 65,743 65,743.2 65,743.18
2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19
4. 300. 320. 318 318.3 318.28
Through (5,8); slope -2
X=-2×+18
How did we get 18
Answer:
y = -2x + 18
Step-by-step explanation:
Slope m = -2 with y = 8, x = 5
y = mx + b
8 = (-2)(5) + b
8 = -10 + b
b = 8 + 10 = 18
then y = -2x + 18
If B is the midpoint of ACand AB = 3x - 3 and AC = 9x - 15. find bc
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14