Answer: x = 13
Step-by-step explanation: First, we simplify the equation to get 4x + 7 = 5x - 6. Then, from there, we subtract 7 on both sides to get 4x = 5x - 13. Then we subtract 5x from both sides, which would give us -x = -13. Finally, we can divide both sides by -1 (because remember, x = 1) to get that x = 13. Hope this helps!
Can anyone help? 80 points!
Answer:
D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Step-by-step explanation:
Given expression:[tex](8x^4y^5)^{\frac{2}{3}[/tex]Simplify in steps, using below properties of exponents:
[tex]a^ba^c= a^{b+c}[/tex] Product of Powers Property[tex](a^b)^c=a^{bc}[/tex] Power of Power PropertySolution:[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Correct choice is D
Answer:
[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]
Rewrite 4 as (3 + 1) and 5 as (3 + 2):
[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]
[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]
Rewrite 4/3 as 1 + 1/3:
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]
[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]
[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]
In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?
Answer:
72 degrees 72° Celsius. It changed by 72 degrees.
Step-by-step explanation:
6 * 12 because it changed 6 degrees each hour for 12 hours
6 *
12
—-
72
Answer:
72 degree Celsius
Step-by-step explanation:
Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:
6 * 12 = 72
the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle
Answer:
length = 6cm , breadth = 4cm
Step-by-step explanation:
Let's assume length = l
breadth = b
Given perimeter of a rectangle = 20 cm
2(l+b) = 20
l+b = 20/2
l+b = 10
l = 10 - b____(1)
Given area of rectangle = 24 cm²
l×b = 24____(2)
(1) in (2) => l × b = 24
(10-b) × b = 24
10b - b² = 24
10b = 24 + b²
0 = b² - 10b + 24
b² - 10b + 24 = 0
b² + 6b + 4b + 24 = 0
b(b+6) +4(b+6) = 0
(b+4)(b+6) = 0
b+4 = 0. &. b+6 = 0
b = -4. b = -6
breadth must be less than length and it should be positive
So b = 4 cm
b=4 in (1)
(1)=> l = 10 - b
l = 10 - 4
l = 6
Expand the expression to yield a trinomial of the form
ax² + bx + c.
(2x + 3)²
Step-by-step explanation:
(2x + 3)(2x + 3)
4x² + 6x + 6x + 9
4x² + 12x + 9
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
help please i need answers fast if you help or try to help tysm *hearts*
Answer:
C. 3rd one Fraction 10/24
Step-by-step explanation:
3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12 are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41
Step-by-step explanation:
Hope This Helped
I need help on this please
Answer:
-22
Step-by-step explanation:
each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative
hope this helped!
i dont now this question
Answer:
y = 108
Step-by-step explanation:
2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .
Now we solve for x :
Subtract 2x from both sides :
16 = x - 12
Now we add 12 to both sides :
28 = x
Angle 3x-12 and y add up to 180 as they are on a straight line :
3x-12 + y = 180
Substitute x and solve for y :
3(28) - 12 + y = 180
84 - 12 + y = 180
72 + y = 180
y = 108
Hope this helped and have a good day
37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280
The equation that models the scenario is 16p+32q = 1,280.
Which equation models the scenario?Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :
Total pint + total quart = total ounces
16p+32q = 1,280.
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What compass heading represents 20° north of west? PLS HELP
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
Help please!
preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology
Scientific Notation is EASY.
Just move the decimal to the right if it is positive:
6.2 x 10¹ = 62
6.2 x 10² = 620
6.2 x 10³ = 6,200
6.2 x 10⁴ = 62,000
6.2 x 10⁵ = 620,000
6.2 x 10⁶ = 6,200,000
Move the decimal to the left if it is negative:
6.2 x 10⁻¹ .62
6.2 x 10⁻² = .062
6.2 x 10⁻³ = .0062
6.2 x 10⁻⁴ = .00062
6.2 x 10⁻⁵ = .000062
6.2 x 10⁻⁶ = .0000062
What about about 6.2 x 10⁰?
6.2 It wouldn't change location.
I hope this helps!
Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?
The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".
How to solve inequality?5(x + 2) ≥ 7x + 2(x - 1)
5x + 10 ≥ 7x + 2x - 2
5x + 10 ≥ 9x - 2
collect like terms5x - 9x ≥ -2 - 10
-4x ≥ - 12
x ≤ -12/-4
x ≤ 3
Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".
The complete question:
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3
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In scientific notation, 8,700 is written:
8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)
The number 8700 written in scientific notation is 8.7 * 10^3
How to express the number in scientific notation?The number is given as:
Number = 8700
The scientific notation is represented as:
a * 10^b
Where a is between 1 and 10 and b is an integer representing the number of zeros
So, we have:
8700 = 87 * 10^2
Express 87 as 8.7 * 10
8700 = 8.7 * 10* 10^2
Evaluate
8700 = 8.7 * 10^3
Hence, the number 8700 written in scientific notation is 8.7 * 10^3
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please help if u know :D
Answer:
B.
Step-by-step explanation:
We can start by dividing 3.5 and 0.75.
3.5/0.75 is 4.67.
Now, we multiply 4.67 by 1 since we are finding how much she walks in 1 hour.
1*4.67 is 4.67.
anyone know the answer?
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
1/3x + 1 = -2 PLEASE HELP
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
After 5 years, how much will marcia have saved in interest by consolidating the two balances? a. $1,526.40 b. $2,422.80 c. $105.00 d. $227.40
The closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
The complete question is given below as:-
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,879.58
$861.00
APR
14%
10%
Monthly Payment
$43.73
$18.29
After 5 years, how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,526.40
b.
$2,422.80
c.
$105.00
d.
$227.40
What is income?The amount received by an employee by giving the service or work to any frim will be termed as the income.
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
Therefore closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
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Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin. A (0,5) C (6,3) B (2,-2) Where does point A end up?
Answer:
B
Step-by-step explanation:
To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.
Пожалуйста помогите с решением
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
Please help!! Will give brainliest
Answer:
The first choice
Step-by-step explanation:
7/8 x + 3/4 = -6
6 (x/8) + 3/4 = -6
can i have help with this please
Answer:
B) 7r² - r -1
Step-by-step explanation:
(3r² + 7r + 1) + (4r² - 8r - 2)
1. Remove unnecessary parentheses
3r² + 7r + 1 + 4r² - 8r - 2
2. Combine like terms (ex: r and -2r, n and 4n)
7r² - r -1
Therefore, the correct answer is B.
Hope this helps!
Answer: Heyaa! ~
Your Answer is... 7r²− r −1, Which is B.
Step-by-step explanation:
Subtract the numbers, And then combine like terms,
Solution: 7r²− r −1
Hopefully this helps you! ^
Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?
216 square units
30 square units
120 square units
60 square units
Answer: 60 square units
Step-by-step explanation: i hope that helps buddy :)
Is 0.2775 a rational number
Answer:
yes it is
Step-by-step explanation:
It is a rational number, as it can be written as a fraction.
Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
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Find the slope of the line through the given points: (-19, 5), (19, 15)
Answer:
Step-by-step explanation:
(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope
y - 5 = 5/19(x + 19)
y - 5 = 5/19x + 5
y = 5/19x + 10
As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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