Answer: 242 in²
All the work is shown in the picture.
The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
Question 8 options:
7
14
6
3
Answer:
C. 6Step-by-step explanation:
Given
S = n² + nS = 42, n = ?Substitute and solve for n:
42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6Correct option is C
Answer:
C. 6
Step-by-step explanation:
-g + 2(3 + g) = -4(g + 1)
Please answer with the steps/distributive property. Thnx a lot guys!
How much more paper is used for the label of the large can of tomato paste than for the label of the small can?
Answer:
23.57
Step-by-step explanation:
small can surface area - 25.13
big can surface area - 56.55
small can paper - (25.13-6.28) = 18.85
big can paper - (56.55-14.14) = 42.41
diffrence - 42.42 - 18.85 = 23.57
-11 -z
evaluate the expression if x=-8 , y=7 , and z=-11
Answer:
-8-(-11)-7
= -8+11-7
= 3-7
= -4
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!
I have 108$
If a pc costs 1,481$
And I earn 15$ a week
How long will it take until I get pc? (Please help!)
Step-by-step explanation:
$1481 - $108 = $1,373 still to needed to purchase PC
$1,373/ $15 = 91.533...
It will take 92 weeks.
Evaluate sin(36°), round your answer to four decimal places.
Answer:
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
Step-by-step explanation:
We are given that
[tex]sin(36^{\circ)[/tex]
We have to find the value of [tex]sin(36^{\circ)[/tex]
To find the value of [tex]sin(36^{\circ)[/tex] we will use table of sin
From sin table
We get
[tex]sin(36^{\circ})[/tex]
=0.587785
We have to round off the answer to four decimal places
Therefore,
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
3. Write the equation of the line passing through the point (-2, 0) that is
PARALLEL to y = -3/2x - 2 in slope-intercept form.
Answer:
y=-3/2x-3
Step-by-step explanation:
I just know so...
Hope this helps :)
A circle has a radius 5cm. Using area = πr² calculate the area of the circle. Give your answer to 2 decimal places
Answer:
[tex]Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2[/tex]
I need 954x66.76 plz 5min til due
954 * 66.76 = 63689.04
Which of the division expressions below has a quotient that is greater than 15? Select all
that apply.
A) 345 : 15
B) 196 : 14
C) 212 : 16
D) 455 = 25
E) 221 : 13
Answer:
The answer is D
Step-by-step explanation:
because if you do the methoes method you know that it rules out 1 and 2 and 3 after you do that its just between C and D, for the caunususicon it has to be D, that is why i think its D. hope this helps
need help please on this question
Answer:
a c
Step-by-step explanation:
Laura's spent $5.00 of the $20.00 in her wallet. Write a decimal and percent that represents the fraction of the $20.00 Laurel spent.
Answer:
1/4 or 0.25 or 25%
Step-by-step explanation:
Answer:
0.25, or 25%
Step-by-step explanation:
1/4=0.25, and that equals 25% also 4*5=20, so 5 is 1/4 of 20.
hopes this helps
How many squares would have to be shaded so that 2/9 of the shape is shaded?
Answer:
4.
Step-by-step explanation:
There are 18 squares, if you want to shade 2/9 you have to make the denominator, which is 9 into 18, so you multiply by 2, you will do the same thing to the numerator, 2x2=4 9x2=18.
Brainiest would be appreciated.
There are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have to determine the number of squares that would have to be shaded so that 2/9 of the shape is shaded
According to the given figure,
There are 3 rows and 6 columns of squares
So the number of squares would be 3 × 6 = 18
There are 18 squares, therefore if you want to shade 2/9, you must first divide the denominator, which is 9 into 18, by 2, and then multiply by 2.
If 2/9 of the shape is shaded: 18 × 2/9 ⇒ 36/9 = 4
Hence, there are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.
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g(1)=0
g(n)=g(n-1)+n
g(2)=????
If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
The given relationship is:
g(1) = 0
g(n) = g(n-1) + n
g(2) = ?
Since g(1) is already known
g(2) = g(1) + 2
Note that g(1) = 0
Substitute g(1) = 0 into g(2) = g(1) + 2
g(2) = 0 + 2
g(2) = 2
Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
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2x + 3 = 5, then, x=
Answer:
x= 1
Step-by-step explanation:
2x1=2+3=5
Answer:
x is equals to 1..........
Carol opened a savings account and deposited 2,650. The account earned 4% interest compounded annually how much money will carol have in her account after 3 years
Answer:
$2968
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8
The expression are equivalent to 2 to the power of 6 is,
B. 2x2x2x2x2x2.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We also know that a multiplied by a 'n' number of times can be written
as aⁿ.
Now, 2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.
Therefore, From the given options the expression that is equivalent to
2⁶ is 2x2x2x2x2x2.
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graph each equation and tell whether it is linear. explain why or why not. graph y=3x+2
Answer:
This graph is linear, the degree of x does not exceed 1 and the graph forms a line.
Step-by-step explanation:
HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED
Answer:
1. is 4
2. is 3
3. is 10
4. is 13
Step-by-step explanation:
Hope this helpss!!
When Kenji drove to work, the temperature in town
was 40°F. When he came home, the temperature was
58°F. Which equation can be used to find t, the change
in temperature?
Answer: 40 + t =58
I just did the problem and the other ones don’t make sense
Work out m and c for the line:
y = 2x
please help i am timed
Answer:
I think it might be C. I am not sure.
Create two expressions equivalent to 48j + 36 using the expresion below:
6(_ j + _ )
Answer:
Two expressions equivalent to 48j + 36.
Use distributive property of multiplication.
Since 6 is the factor, divide each term by 6 to get the other factor;
48j + 36 = 6*8j + 6*6 = 6*(8j + 6) =6*2(4j + 3)If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?
Answer:
try 30 1/4
Step-by-step explanation:
The following table contains the rate of commission, number of items sold,
and cost of each item for four different salespeople.
Salesperson
Rate of
commision
Number of
items sold
Cost of
each item
Felix
7.25%
9
$60
Helen
7.50%
12
$50
Reid
8.25%
10
$40
Sidney
7.75%
6
$90
Assuming that each salesperson earned commission on all items he or she
sold, who earned the most in commission?
Answer:
Helen
Step-by-step explanation:
Just did test
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.
The total sales amount is the product of the number of items sold and the cost of each item.
For Felix:
Commission = (Rate of commission) x (Total sales amount)
= 7.25% x (9 x $60)
= $39.15
For Helen:
Commission = (Rate of commission) x (Total sales amount)
= 7.50% x (12 x $50)
= $45.00
For Reid:
Commission = (Rate of commission) x (Total sales amount)
= 8.25% x (10 x $40)
= $33.00
For Sidney:
Commission = (Rate of commission) x (Total sales amount)
= 7.75% x (6 x $90)
= $39.15
Therefore,
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
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2. Juan Pablo makes an hourly salary of $15 and time-and-a-half for any hours over 40. Last week he worked 45 hours. Explain how you would calculate his weekly gross pay, his Social Security Tax (6.2%), and his Medicare tax (145N). You don't need to actually calculate the values, just explain what mathematical processes you would use and why
Answer:
Gross = $712.5
Social security = $44.175
Medicare = $10.33125
Step-by-step explanation:
Given that :
Hourly pay = $15
Hours over 40 = 1.5 * $15 = $22.5
Total hours worked last week = 45
Total pay :
(40 * $15) + (45 - 5)*$22.5
$600 + $112.5
= $712.5
Hence, weekly gross pay = $712.5
Social security tax percent =(6.2%)
0.062 * gross = 0.062 * $712.5 = $44.175
Medicare tax percent = (1.45%)
0.0145 * $712.5 = $10.33125
Rashid owned n sheep. Eifion had exactly 4 times as many sheep as Rashid. Rashid buys 17 extra sheep. Eifion sells 8 of his sheep. Eifion still has more sheep than Rashid. Form an inequality, in terms of . Solve the inequality to find the least value of
4n - 8 > n + 17
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
The least value of the number of sheep is 9.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Rashid:
Number of sheep owned = n
Bought 17 sheep = n + 17
Eifion:
Number of sheep owned = 4n
Sells 8 sheep = 4n - 8
Eifion still has more sheep than Rashid.
This means,
4n - 8 > n + 17 ______(1)
Solving for n in (1).
4n - 8 > n + 17
Subtract n on both sides.
4n - 8 - n > n + 17 - n
3n - 8 > 17
Add 8 on both sides.
3n - 8 + 8 > 17 + 8
3n > 25
Divide 3 on both sides,
n > 25/3
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
Thus,
The least value of the number of sheep is 9.
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find the surface area
Answer: 24
Step-by-step explanation:
to find the surface area of a cube use its formula
A = 6 * a^2
A = 6 * 2^2
A = 6 * 4
A = 24
The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh
Answer:
its 10
Step-by-step explanation:
Answer:
Let Two Numbers be=x and y
Sum of two Numbers=52
X+Y=52
X=52-Y. (Equation 1)
Difference=2
X-Y=2
.Putting Value of X=52-Y
52-Y-Y=2
52-2y=2
52-2=2y
50=2y
y=50÷2
y=25
We Get Y=25
X=52-Y
X=52-25
X=27
Prove
X+Y=52
27+25=52
X-Y=2
27-25=2
X=27
Y=25
Numbers=27,25
Step-by-step explanation:
:)