Answer:
Step-by-step explanation:
We know, for square
[tex](side)^2=(Area)\\=>X^2=8\\[/tex]
∴[tex]X=2\sqrt{2}[/tex] unit
[tex]Now, Side=3X[/tex]
[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]
hope you have understood this...
pls mark my answer as the brainliest
The area of square of side 3X is 72 square unit.
What is square?The square is a 4 sided figure, each side of the square is equal and make a right angle.
The area of square having sided a unit can be given by a² square unit.
Given that,
Area of square having side X is 8.
Since, formula for area of square having side X is X².
Implies that,
X² = 8
X = 2√2
The area of square having side 3X
side =3 × 2√2
side = 6√2
The area of square = (6√2)²
= 36 x 2
= 72
The area of square is 72 square unit.
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You are looking at your power bill for the month, you pay 15 cents per kilowatt-hour. Your power bill came out to $70.74 how many KWH of energy were used in your house this month?
The number of kilowatt-hours used KWH is 471.6 KWH.
Since the power bill for the month says you pay 15 cents per kilowatt-hour, this is the rate of the bill. We convert this a a dollar rate.
So, 15 cents per kilowatt-hour = 15 cents × $ 1/100 cents per kilowatt-hour (since $ 1 = 100 cents)
= 15 cents/100 × $ 1/100 cents per kilowatt-hour
= 0.15 × $ 1/100 cents per kilowatt-hour
= $ 0.15 cents per kilowatt-hour.
Since the power bill came out to be $ 70.74, we need to find the number of kilowatt-hours used KWH.
The total amount on bill = rate of bill × number of kilowatt-hours used.
So, number of kilowatt-hours used = total amount on bill/rate of bill
Total amount on bill = $ 70.74 and rate of bill = $ 0.15 cents per kilowatt-hour.
So, number of kilowatt-hours used = total amount on bill/rate of bill
number of kilowatt-hours used = $ 70.74 /$ 0.15 cents per kilowatt-hour.
number of kilowatt-hours used = 471.6 KWH
So, number of kilowatt-hours used KWH is 471.6 KWH.
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The average price for a new car is $30,000. Each year, the value of that car decreases by 15%.
Explain the meaning of the y-intercept, appropriate domain and range, and whether the function is increasing or decreasing.
Answer:
y int: The starting value. Domain: All Real Numbers. Range: y<=30,000. The Function is decreasing
Step-by-step explanation:
The y int. is the starting value because it is the point where no years have started yet on the x axis so that means that the value of the car will be as if you had just bought it. The domain is all real numbers because the number of years you could have the car could be infinate. The range is the y axis part meaning that it could be any number starting from 30,000 and decreasing because the car value is constantly decreasing. And due to the fact that the price is going down every year by 15%, the function is decreasing.
A vehicle is travelling from rest. After 10 seconds its velocity will be 20ms find acceleration?
Initial velocity (u) = 0m/s
Final velocity (v) = 20m/s
Time (t) = 10 s
Acceleration (a)
= (v - u)/t
= [(20m/s) - (0m/s)]/10s
= (20m/s)/10s
= (20m/s²)/10
=> 2m/s²
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation:
11.49 for 3 packages
Answer:
Individual package would be 3.83
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
Which pieces of information can be gathered from these box plots?
Answer:
A & C
Step-by-step explanation:
The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
Answer:
Step-by-step explanation:
The circumference formula is
C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:
106.76 = 2(3.14)r and
[tex]\frac{106.76}{2(3.14)}=r[/tex] so
r = 17
Can you please answer this answer with a step by step explanation?
the BEST answer gets the BRAINLIEST answer mark!
Answer:
Step-by-step explanation:
If K is square number, then exponents in number N are even.
term 1 is -3, term five is 5. find the tenth term?
Answer:
t(10) = 15
Step-by-step explanation:
5 - (-3)/ 5 - 1
= 2
t(n) = t1 + (n - 1)(d)
t(10) = -3 + (10 - 1)(2)
t(10) = -3 + (9)(2)
t(10) = -3 + 18
t(10) = 15
Does anyone know how to do these. Its due in the morning. Pls help
Answer:
15)Given equation:
y = 2/5x - 3To plot the line first find two points:
1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.
16)Use Pythagorean to find the missing leg:
[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] unitsWhat is the value of the expression below when z=6
z²+3z-3
Answer:
51 I hope it will help you
Step-by-step explanation:
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Answer:
51
Step-by-step explanation:
Plug in z
(6)^2 + 3(6) - 3
36+18-3
54-3= 51
The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?
Answer: 180 gallons
Step-by-step explanation:
If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)
A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
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This is Solving Linear Equations.
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
Use graphing technology to find the range of the function f(x)=|x-3|
Answer:
[0,infinity)
Step-by-step explanation:
Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5
Answer:
I'm not so sure but i guess it's option D y=5x-3
the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now
HELP!!!!!!!!!!!!!!!!
Answer:
14...
area = 1/2 b h
b= 7-0 = 7 ... 7/2 = 3.5
h = 7-3 = 4
3.5 * 4 = 14
Step-by-step explanation:
If the function f is given by f(x)= 4x -3, find the value of f(2+h)
[tex]\\ \sf\longmapsto f(2+h)[/tex]
[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]
[tex]\\ \sf\longmapsto 4h+8-3[/tex]
[tex]\\ \sf\longmapsto 4h+5[/tex]
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
3 times the sum of a number and 4 is 20
Answer:
as per the statement we form an algebraic equation as
3(x+4) = 20
3x + 12 = 20
3x = 8
x = 8/3
as per my understanding that's the answer
2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
Step-by-step explanation:
Start by finding the radius
d = 8
r = d/2
r = 8/2
r = 4
Next find the height
the height = 3 times the radius
the height = 3 * 4
The height = 12
Volume = pi * r*r * h
pi = 3.14
r = 4
h = 12
V = 3.14 * 4 * 4 * 12
V = 602.88
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
Which equation describes the same line as y- 6 = -4(x + 1)?
O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3
Answer:
Option C is correct
Step-by-step explanation:
[tex]y−6=−4(x+1) \\ [/tex]
[tex]y−6=−4x−4 \times 1[/tex]
[tex] y−6=−4x−4 [/tex]
[tex]y=−4x−4+6 [/tex]
[tex]y=−4x+2[/tex]
Hope it is helpful....round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
Use Euclid’s Ladder (or a factor tree) to write the prime factorization.
1. 64
2. 100
3. 54
Answer:
64
Step-by-step explanation:
the answer is 64 hope this helps
1. Point B bisects AC. If AB = 2x + 10, and AC = 40, what is the value of x
Answer:
x = 5
Step-by-step explanation:
B, bisects AB. So, AB = BC
AC = AB +BC
= AB + AB
AC = 2AB
[tex]\dfrac{1}{2}AC = AB\\\\AB = \dfrac{1}{2}AC\\\\2x + 10 =\dfrac{1}{2}*40\\\\2x + 10 = 20[/tex]
Subtract 10 from both sides,
2x = 20 - 10
2x = 10
Divide both sides by 2
x = 10/2
x = 5
help w #5 !! will mark brainlist
The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.
To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.
solve for x: 3x²-243
3x²–243=0 —> 3 (x²–81) = 0 —>
x²–81=0 —> (x-9)(x+9)=0
x-9=0 —> x=9
x+9=0 —> x=–9
I hope I helped you^_^
3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
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