Answer:
000000000
Step-by-step explanation:
Which equation is equivalent to x + 8 = 21?
A. (x + 8) × 4 = 21
B. (x + 8) × 4 = 21 ÷ 4
C. (x + 8) × 4 = 21 × 2
D. (x + 8) × 4 = 21 × 4
The equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
Given the equation
x + 8 = 21To get a similar expression we will either subtract, multiply, divide or add the same constant to both sides of the equation
Multiplying both sides by 4 will give:
x + 8 = 21(x + 8) * 4= 21 * 4Hnce the equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
learn more on equation here: https://brainly.com/question/13763238
What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?
A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
Find the height of the triangle if the area is 36 m 2
Answer:
Area=1/2bh
Given area of 36m^2
1/2(x)(x-1)=36
Multiply both sides by 2 to remove deminator
(x)(x-1)=72
X^2-x=72
X^2-x-72=0 then factor
(x-9)(x+8)=0
X=9,-8 however since area must be positive, take the absolute value of 8
1/2(9m*8m)=36m^2
Find the length of each side
The triangle is equilateral, so all sides are equal.
4x = 3x + 2
x = 2
4x = 8
All sides measure 8 units.
$70.00 at 5% for 2 years
Answer:
$7
Step-by-step explanation:
Hey there
to solve this kind of problem we use the formula:
[tex]\frac{p * t * r}{100}[/tex] if we solve it :First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 70 × 0.05 × 2 = 7
I = $ 7.00
The simple interest accumulated
on a principal of $ 70.00
at a rate of 5% per year
for 2 years is $ 7.00.
x^2 – 2x – 54 = 0
I need it in completing the square form
Completing the Square:
x^2 - 2x = 54
x^2 - 2x + 1 = 54 + 1
(x-1)^2 = 55
x - 1 = ±[tex]\sqrt{55\\}[/tex]
x = 1 ± [tex]\sqrt{55}[/tex]
Simon's monthly take-home pay after taxes) is $2100. If he pays 22% of his gross pay (before taxes) in tax, what is his gross pay?
Simon's gross pay is $
(Round to the nearest dollar as needed.)
Answer:
[tex]approximately \: 2692 \: dollars[/tex]
Step-by-step explanation:
[tex]2100 = x \times 0.78[/tex]
We take both sides divided by 0.78
[tex]2100 \div 0.78 = x \\ 2692 = x \\ x = 2692 \: dollars[/tex]
As their financial advisor, what part of Kyle and Linda’s financial plan would you encourage them to work on and why?
a.
Their plan for managing income.
Their net cash flow is negative.
b.
Their plan for managing their liquidity.
They are not prepared for emergencies.
c.
Their plan for retirement.
They don’t contribute enough to meet their long term goals.
d.
Their plan for protecting their assets.
They should have life insurance on Linda.
Answer:
I think that there should be an image attached but your best bet is probably a.
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
i just took the test edge 2021!
Simplify: (6q^3)^2
And tell me step by step
Answer:
36q^6
Step-by-step explanation:
First, use the distributive property and so you would have 6²q^6. Then you would solve 6² which is 36. Lastly, the answer will be 36q^6. Explaining is my weakness and I tried to help.
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
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What is 10/3 divided by 2/6
Answer:
its 10
Step-by-step explanation:
10/3 divided by 2/6 is 10 because you would reciprical the 2/6
then it would be 10/3 times 6/2
10 times 6 is 60
3 times 2 is 6
60/6 is 10
BOOM MATH
Click and drag like terms onto each other to simplify fully. 7-3+3+2x+4y
Answer:
2x+4y+7
Step-by-step explanation:
Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3
Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
hope this helps
Step-by-step explanation:
Bryan bought a DVD player that was marked down from $225 to $117. What is the percent decrease?
ANSWER:
56%
EXPLANATION:
well if you use a proportion it all should solve it self you feel me... Anyways hoped this helped
The table shows the scores for three students on a math test. Who earned the highest grade?
Answer:
ben earned the highest grade
Step-by-step explanation:
ben had the highest, sarah had the lowest
student score
jim 85%
sarah 84%
ben 86%
Answer:
Ben got the highest
Step-by-step explanation:
Sarah=84%
Jim=85%
Ben=86%
Can you help me with my math?
Answer:
y = -3x - 1
Step-by-step explanation:
First find the slope then the Y-intercept
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y
Answer:
[tex]Volume = \frac{384}{7}\pi[/tex]
Step-by-step explanation:
Given (Missing Information):
[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]
Required
Determine the volume
Using Shell Method:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
First solve for a and b.
[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]
Substitute 8 for y
[tex]8 = x^\frac{3}{2}[/tex]
Take 2/3 root of both sides
[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]
[tex]8^\frac{2}{3} = x[/tex]
[tex]2^{3*\frac{2}{3}} = x[/tex]
[tex]2^2 = x[/tex]
[tex]4 =x[/tex]
[tex]x = 4[/tex]
This implies that:
[tex]a = 4[/tex]
For [tex]x=0[/tex]
This implies that:
[tex]b=0[/tex]
So, we have:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]
The volume of the solid becomes:
[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]
Open bracket
[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]
Integrate
[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]
Substitute 4 and 0 for x
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]
[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]
[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]
[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]
Take LCM
[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]
[tex]V = 2\pi * [\frac{448-256}{7}][/tex]
[tex]V = 2\pi * [\frac{192}{7}][/tex]
[tex]V = [\frac{2\pi * 192}{7}][/tex]
[tex]V = \frac{\pi * 384}{7}[/tex]
[tex]V = \frac{384}{7}\pi[/tex]
Hence, the required volume is:
[tex]Volume = \frac{384}{7}\pi[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.
How to calculate the volume of a solid of revolution by shell method
Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:
[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)
If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]
[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]
[tex]V = \frac{10240\pi}{3}[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]
Remark
The statement is incomplete. Complete form is shown below:
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Answer:
Step-by-step explanation:
Jon has $4.68 more than his brother, Amos.
If Jon has $79.32, how much money does Amos
have?
Answer:
74.8
Step-by-step explanation:
79.32-4.68= 74.8
Answer: The answer is 74.64. Amos has $74.64. Hope I helped :)
Step-by-step explanation:
You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.
Answer:
-3(43)= -129
−3(3) = −9
−3(2) = −6
−3(1) = −3
−3(0) = 0
−3(−1) = 3
−3(−2) = 6
-3(-3)= 9
Step-by-step explanation:
As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.
Multiplying −3 by a negative integer gives a positive number.
The product of a positive number and a negative number is negative.
Write an
algebraic expression for the situation.
34 divided by a number m
Answer:
34 div 68m??
Step-by-step explanation:
Answer:
answer = 34 / m
Step-by-step explanation:
Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer
A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?
The water park is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 8 vans and 3 buses with 188 students. High School B rented and filled 10 vans
and 7 buses with 378 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
to be honest I have no idea
Answer:
7 students per Van
44 Students per Bus
Step-by-step explanation:
8v+3b=188
10v+7b=378
Solve these simultaneously
I need help with this math problem
The price of a food it should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the pricw of the taco?
Answer:
6 dollars
Step-by-step explanation:
If the price of a food is four times the price of the cost of the ingredients, then if the taco's ingredients cost 1.5 dollars, all we have to do is multiply 1.5 by 4, to get the answer, 6 dollars.
ackson is given the expression below to simplify. Which expression is equivalent to Jackson’s expression?9x−4+4x+5x+19
Ahttps://edpuzzle.com/assignments/600b1eec3f257f4235835f31/watchvhttps://edpuzzle.com/assignments/600b1eec3f257f42358idskdkeidjiwfjefwbfdbfkiwdhf
by-step explanation:
Answer:
3(6x+5)
Step-by-step explanation:
So first I opened my device
Then, I went to brainly
Next, I asked the question
Finally, i came back here to put the answer i found
*Perfect explanation*
5÷480 I’m trying to figure this out but when I get my answer it has a remainder
Answer:
The answer is 96.
Step-by-step explanation:
5 goes into 48, 9 times. 48 minus 45 is 3, bring down the zero to get 30. 5 goes into 30 6 times. So 30 minus 30 equals zero.
help please I will appreciate it.
Answer:
The area is 6[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6
From 1999 to 2008, the United States Mint
produced commemorative quarters for each
state in the United States. Each year, quarters for
fi ve diff erent states were circulated to the public,
and many people collected the coins. Steven
wanted to collect these coins, so his uncle gave
him a handful of the state quarters. Steven made
this list of the coins that he was given.
1. Steven put all the coins in his pocket and
pulled one out at random.
a. What is the probability that he selected
a Texas quarter?
b. What is the probability that he selected a quarter minted in 2002?
c. Use the sample space to explain how you determined these probabilities.
Answer:
a. [tex]\frac{2}{13}[/tex]
b. [tex]\frac{3}{13}[/tex]
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is [tex]\frac{2}{13}[/tex].
b. Analagously, the probability is [tex]\frac{3}{13}[/tex], because there are 3 quarters minted in 2002.
c. See a and b.
I don't know the answer
Answer:
D
Step-by-step explanation:
Answer:
option d. 5cm,5cm,5cm
.........