Answer:
5 - 10g + 20hStep-by-step explanation:
Given three elements A, B and C related together according to the expression A(B+C), according to distributive property, the element A will be distributed to the rest of the element as shown;
A(B+C) = A(B)+A(C)
A(B+C) = AB + AC (Law of distributivity)
Given the expression according to the question (1−2g+4h)⋅5, in order to use the distributive law to find the equivalent expression, we will use the concept above as shown;
= (1−2g+4h)⋅5
= 5.(1−2g+4h)
= 5(1)-5(2g)+5(4h)
= 5 - 10g + 20h
Hence the equivalent expression using the distributive property is 5 - 10g + 20h
Answer:
5 - 10g + 20h
marking as brainliest:)
Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.
Answer:11
Step-by-step explanation:
g(2)=-7
f(-7)=11
Answer:
f(g(x))= 11
Step-by-step explanation:
This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.
f(g(x)), x=2
f(g(2))
First, we must find g(2).
We know that g(x)= -2x-3. We can plug 2 in for each x and solve.
g(x)= -2x -3, x=2
g(2)= -2(2)-3
First, multiply -2 and 2.
g(2)= -4-3
Then, subtract 3 from -4.
g(2)= -7
Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).
f(g(2)), g(2)= -7
f(-7)
Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.
f(x)= -x+4 , x= -7
f(-7)= -(-7) +4
f(-7)= 7+4
Add 7 and 4
f(-7)= 11
Our final answer is: f(g(x))= 11
what is the equation of the translated function, g(x), if f(x)=x^2
Answer
The vertex moved 5 units right and 2 unit up.
Hence..
g(x)=(x-5)²+2
Answer:
g(x) = (x - 5)² + 2
Step-by-step explanation:
f(x) = x²
g(x) = (x - 5)² + 2
Convert the following:
4 liters is equivalent to
a0 quarts
Answer:
4.22675 quarts
Step-by-step explanation:
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K = 3x + 8 and m M = x + 12, find the m K. How do I solve?
Answer:
Step-by-step explanation:
3(m-12)+8
x=m-12
the lines on a 2 cup liquid measuring cup divide each cup into eighths. if you measure 1 3/4 cups of water between which two quantities can you be certain the exact measurement will be?
Answer:
1 3/4 cups is between the 13th and 15th lines from the bottom.
Step-by-step explanation:
The bottom of the cup has no line and corresponds to 0 eights.
1st line up: 1/8 cup
2nd line up: 2/8 cup this is also called 1/4 cup
3rd line up: 3/8 cup
4th line up: 4/8 cup this is also called 1/2 cup
5th line up: 5/8 cup
6th line up: 6/8 cup this is also called 3/4 cup
7th line up: 7/8 cup
8th line up: 8/8 cup this is also called 1 cup
9th line up: 9/8 cup
10th line up: 10/8 cup this is also called 1 1/4 cup
11th line up: 1 3/8 cup
12th line up: 1 4/8 cup this is also called 1 1/2 cup
13th line up: 1 5/8 cup
14th line up: 1 6/8 cup this is also called 1 3/4 cup
15th line up: 1 7/8 cup
16th line up: 1 8/8 cup this is also called 2 cups
1 3/4 cups is between the 13th and 15th lines from the bottom.
An object has a mass of 1 kilogram and a density of 10 grams per cubic centimeter. Which of the following statements is true?
The volume of the object is 100 cubic centimeters.
The volume of the object is 100 cubic meters.
The volume of the object is 100 cubic kilometers
The volume of the object cannot be determined because the shape of the object is not given
Answer:
The volume of the object is 100 cubic centimeters (100cm³)
the smallest square number which can be divisible by 11 and 5
Answer:
3025
Step-by-step explanation:
let's look at it in this concept.
For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.
LCM of 11 and 5=55
therefore the number is 55x, where x is a positive integer.
it is a said that the number is a perfect square
therefore the square root of 55x must be an integer.
[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]
the smallest value of x to make 55x a perfect square is....
[tex]x = 11 \times 5 = 55[/tex]
Therefore the number is.... .
[tex]55x = 55(55) = 3025[/tex]
sweet right
BRAINLIEST PLS....Someone pleaseeee help me!!!! I’m stuck
Answer:
Hey there!
1/2 can also be written as 8/16.
Thus, starting from 0, count 8 tick marks, and place a point there.
3/16 is just 3/16.
Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.
This shows us that 8/16+3/16=11/16.
Hope this helps :)
Answer:
so 1/2+3/16 is 11/16
Step-by-step explanation:
count the lines until u get to 11 and thts where u put the point.
hope this helps.have a good day
Express as a trinomial.
(3x+5)(2x+9)
Answer:
[tex]6x^{2} +37x+45[/tex]
Step-by-step explanation:
Hello!
A trinomial is a algebraic expression containing 3 terms
To turn this into a trinomial we have to multiply everything by each other
3x
3x * 2x = 6x^2
3x * 9 = 27x
5
5 * 2x = 10x
5 * 9 = 45
Now we put it all together
6x^2 + 27x + 10x + 45
Combine like terms
6x^2 + 37x + 45
The answer is [tex]6x^{2} +37x+45[/tex]
Hope this helps!
Is it true or false that this is the graph of f(x) = 3^x?
Answer: False, this is not the graph of f(x) = 3^x
=====================================================
Explanation:
Plug in x = 0 to get
f(x) = 3^x
f(0) = 3^0
f(0) = 1
That means (0,1) is on the graph. So far so good.
-------
But let's try x = 1
f(x) = 3^x
f(1) = 3^1
f(1) = 3
Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.
The red curve shows the equation y = 4^x.
solve the equation 2x + 4 > 16
Answer:
x > 6
Step-by-step explanation:
2x + 4 > 16
2x > 16 - 4
2x > 12
x > 12/2
x > 6
Of the 600 people at a music festival, 420 had attended the previous year. How many people
out of 100 had attended the previous year?
Answer:
70 people
Step-by-step explanation:
divide both answers by 6
Answer:
70
Step-by-step explanation:
i-ready BOIIIII
what is the diamater of a circle
the area of a circle is 144π m^2
Answer:
24 meters
Step-by-step explanation:
The area of a circle can be found using the following formula.
[tex]a=\pi r^2[/tex]
We know that the area is 144pi m^2.
[tex]a= 144\pi m^2[/tex]
Substitute 144pi m^2 in for a.
[tex]144\pi m^2= \pi r^2[/tex]
We want to find the diameter. First, we must find the radius. We have to get the variable, r, by itself.
Divide both sides of the equation by pi.
[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]
[tex]144\pi m^2/ \pi = r^2[/tex]
[tex]144 m^2= r^2[/tex]
The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]
[tex]\sqrt{144 m^2} =r[/tex]
[tex]12 m= r[/tex]
The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.
[tex]d= r*2[/tex]
The radius is 12 m.
[tex]d= 12 m*2[/tex]
Multiply
[tex]d= 24 m[/tex]
The diameter of the circle is 24 meters.
graph the function g(x)=10*(3/5)^t
Answer:
Hope this helps you.
Step-by-step explanation:
I plugged in x for t, but it is the same graph.
Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?
Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]
The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?
Answer:
26 nickels
Step-by-step explanation:
Given that
Total contributed = $1.69
Number of coins = 5
based on the above information,
The number of nickels to be contributed is
Here first we have to determine the prime factors of 169 i.e 13 and 13
This represents that there are 13 member gives their $0.13 per person so it would be $1.69
Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels
So the 13 people contributed to 2 nickels
Therefore, it would be
= 13 × 2
= 26 nickels
For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x
if an ordered pair is a solution, it should satisfy the equation.
see the first option
[tex]y=3x[/tex] , if you put $x=4$ and $y=12$
you'll get $12=12$ which is true.
now the last option, $y=8-x$ put $x=4$ and $y=12$
$12=8-4\implies 12\ne4$ thus it is not a solution.
So option 4 is correct
Answer:
Last one:
y = 8 - xStep-by-step explanation:
y = 8 - x
Replace x and y in this function12 = 8 - 4
12 = 4 (impossible)
So, (4 , 12) is not solution for: y = 8 - xConvert from an improper fraction to a mixed number 17\6
━━━━━━━☆☆━━━━━━━
▹ Answer
2 5/6
▹ Step-by-Step Explanation
[tex]\frac{17}{6} \\\\6 * 2 = 12\\12 + 5 = 17\\\\2\frac{5}{6}[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
2 5/6
Step-by-step explanation:
17/6
6 goes into 17 2 times
2*6 = 12
17-12 = 5
There is a remainder of 5 this goes over the denominator
2 5/6
Which of the following statements is true according to the measurements in the diagram?
Let's look at the corresponding ratios:
[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\
\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\
\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]
And we see that the three aren't equal.
Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.
Answer:
°[Option 3] => Triangle ABC and Triangle EDC are not similar
Step-by-step explanation:
The angles nor the sides are congruent in this image.
Please mark Brainliest
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Please need help ASAP please need help 100 points please
Answer:
1/32 and 1/64
p and v
Step-by-step explanation:
Answer:
a. 1/32 then 1/64
b. P then V
Step-by-step explanation:
A is multiplied by 2 every time.
While b is doubled every time as well.
A pet store has m tanks of fish. Each tank has 35 fish. Using m, write an expression for the total number of fish in the store
Answer:
35m
Step-by-step explanation:
Each tank has 35 fish and the total fish tanks is m, so to find the total you will need to do 35*m.
This is an expression because it does not have anything it is equal to.
Expression: No equal sign
Equation:Equal Sign
Hope this helps!:)
Based on the data, which of the following statements must be true?
Answer:
hope this help
Step-by-step explanation:
here is the answer
Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x − 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?
A) x(f(g))
B) x(g(f))
C) g(f(x))
D) f(g(x))
Answer:
C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]
Step-by-step explanation:
Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:
[tex]g\,\circ \, f (x) =g(f(x))[/tex]
Hence, the right answer is C.
Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 20 days. Days Cost 1 $44 2 $67 3 $90 4 $113 7 $182 10 $251
Answer:
The cost of renting the car for 20 days is $481
Step-by-step explanation:
The table of values can be formed as follows;
Day, Cost
1, $44
2, $67
3, $90
4, $113
7, $182
10, $251
From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.
The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;
[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]
The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;
y - 44 = 23·x - 23
y = 23·x - 23 + 44 = 23·x + 21
The cost of renting the car for 20 days is then;
10×23 + 21 = $481
The cost of renting the car for 20 days = $481.
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? 2)What is the least amount of money that Joe can spend to get the amount of rooms they need? Work not needed!
Answer:
The answer is below
Step-by-step explanation:
1) The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:
n ≥ 50
Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:
B ≥ 34
2) Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:
a ≥ 5
Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:
c = $900(5) = $4500
c ≥ $4500
Here, we are required to determine which inequality describes the scenario in the question and the least amount of money that Joe can spend to get the amount of rooms they need.
(1) The inequality which best describes the scenario is; B ≥ 4.25.
(2) The least amount of money that Joe can spend to get the amount of rooms they need is; $4500
First, since they need at least 50 total rooms and Joe had already reserved 16 rooms.Therefore, Joe needs to reserve an additional 34 rooms to completely accomodate people who are going on the trip.And since, he can only reserve rooms in blocks with each block containing 8 rooms;The number of blocks he needs to reserve; B ≥ 4.25.
Therefore, since only whole blocks can be reserved, Joe needs to reserve 5 blocks.Therefore, since one block costs $900, then, 5 blocks will cost $900 × 5 = $4500.Read more:
https://brainly.com/question/19003099
Simplify the expression (x)^3(x^3y)^2
A) x^9y^2
B) -x^6y^2
C) x^5y^2
D) -x^9y^2
Answer:
A)
Step-by-step explanation:
[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]
PLEASE help me solve this question! No nonsense answers please!
Answer: The fourth option. if you round, 200 * 20, 1800 is found out to be much too low.
Step-by-step explanation:
Answer:
Her estimate is too low because 200 * 20 = 4000
Step-by-step explanation:
Take 19 and round to 20
Take 212 and round to 200
20 * 200 =4000
Her estimate is low
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21
Answer:
13
Step-by-step explanation:
From the question, we are given a triangle HNK with an angle of 90°
The length of hypotenuse H K is n,
the length of HN is 12
the length of N K is 6.
From the above values, obtained in the question, we can see that this is a right angled triangle.
We are asked to find the length of the hypotenuse.
We can use Pythagoras Theorem of solve for this.
c² = a² + b²
where c = HK = n
a = NK = 6
b = HN = 12
c² = 6² + 12²
c² = 36 + 144
c² = 180
c = √180
c = 13.416407865
Approximately to the nearest whole number = 13
Therefore the value of HK = n = 13
We can also use Law of Cosines as given in the question to solve for this.
a² = b² + c² - 2ac × Cos A
where c = HK = n
a = NK = 6
b = HN = 12
Hence
c² = a² + b² - 2ab × Cos C
c = √ (a² + b² - 2ab × Cos C)
Where C = 90
c = √ 6² + 12² - 2 × 6 × 12 × Cos 90
c = 13.42
Approximately to the nearest whole number ≈ 13
Therefore the value of HK = n = 13
Answer:
B) 22 units
Step-by-step explanation:
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