Answer:
22.97
Step-by-step explanation:
Given that,
Initial temperature = 74°
After some time, the new temperature = 91°
We need to find the percent increase in the temperature.
The formula for the percentage increase is given by :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{91-74}{74}\times100\\\\=22.97\%[/tex]
So, the increase in temperature is 22.97%.
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
The nth term of a sequence is n²+1. What is the 9th term?
j - 2.5 = 93.9
What is the value of j?
Answer:
j = 96.4
Step-by-step explanation:
Step-by-step explanation:
j - 2.5 = 93.9
j=93.9+2.5
j=96.4
The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?
Answer:
m = 8Step-by-step explanation:
Given the expression:
x³(x−y)⁷−y³(x−y)⁷
This can also be written as (x³-y³)(x-y)⁷
(x³-y³)(x-y)⁷= (x-y)⁷ (x³-y³)
Expand (x³-y³)
x³-y³ = (x-y)(x²+xy+y²)
Substitute back into the original expression:
(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)
Comparing the result with (x−y)^m(x^2+y^2+nxy).
(x-y)⁸ = (x-y)^m
m = 8
Also:
nxy = xy
n = xy/xy
n = 1
Hence the value of m is 8
The value of m is 8
The expression is given as:
[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]
Factor out (x - y)^7 in the above expression
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]
Expand out (x^3 - y^3) as the difference of two cubes
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]
Combine the common factors
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]
Rewrite the expression as:
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]
The expression format is given as:
[tex](x-y)^m(x^2+y2^+nxy)[/tex]
So, we have:
[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]
By comparison, we have:
[tex]m = 8[/tex]
Hence, the value of m is 8
Read more about expressions at:
https://brainly.com/question/4344214
Please help....... its easy
Answer:
It would start 2 squares across the line.
Step-by-step explanation:
hope this helps
have a great day!
please mark brainliest.
while I cannot flip it for you, you basically just have to see how many spaces each point is from the line, and then put the same letter on the other side and connect the shapes. Hope this helped!
5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions
Answer:
Hope this helps!
Step-by-step explanation:
HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST
Answer: 1/36
Step-by-step explanation: 18 x 18 = 324
3 x 3 = 9
9/324 = 3/108 = 1/36
Answer:
1/36! good luck! :D
Step-by-step explanation:
Gabe deposits $2,500 into each of two savings accounts.
Account ONE earns 4% annual simple interest.
Account TWO earns 4.5% interest compounded annually.
What is the sum of the balances of Accounts ONE and TWO at the end of 3 years?
Answer:
637.5 I think it's right
Step-by-step explanation:
2,500x.04=100x3=300
2,500x.045=112.5x3=337.5
300+337.5=637.5 interest
2,500x2+637.5=5,637.5
Answer:
$5,612.16
Step-by-step explanation:
Part 1) Account I earns 4% annual simple interest.
we know that
The simple interest formula is equal to A = P (1+rt)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have:
t = 3 years
P = $2,500
r = 4% = 4/100 = 0.04
substitute in the formula above
A = 2,500 (1 + 0.04 * 3)
A = 2,500 (1.12)
A = $2,800
Part 2) Account II earns 4% interest compounded annually.
we know that
The compound interest formula is equal to: A = P (1 + r/n)nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
t = 3 years
P = $2,500
r = 4% = 4/100 = 0.04
n = 1
substitute in the formula above
A = 2,500 * (1 + 0.04/1)3
A = 2,500 * (1.04)3
A = $2,812.16
Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?
Sum the two final investment:
$2,800 + $2,812.16 = $5,612.16
A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hope this helps :)
Armenia is baking 24 batches of brownies for the bake sale. Each batch of
brownies takes 2 4/5cups of flour. What is a reasonable estimate of the
amount of flour that she will need to bake all twenty-four batches of
brownies?
A.96
B.72
C.60
D.48
Answer:
72
Step-by-step explanation:
2x24=48
4/5≈1
1x24=72
so its 72
Which is the fraction for 0.21?
Answer:
21/100
Step-by-step explanation:
One gram of fat has 9 calories. A one-ounce slice of
American cheese has 9 grams of fat. The slice has a total
of 110 calories. What percent of the calories in the cheese
is from fat? Round to the nearest whole percent.
jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the width of the piece of paper in square inches
Answer: the paper is 8 inches
Step-by-step explanation: I'm sure the answer is 8.
the probability of getting less than 3 in a single throw of a dice is
Answer:
There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.
Step-by-step explanation:
hope this helps
3 Prove that
cos130°+cos 110+ cos10=0
We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
3) When solving a one-step equation, we apply the inverse operation to the value on the _____ of the variable.
Answer:
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.
Step-by-step explanation:
by it self.
HELP PLEASE AND THANKYOU!!!!
Answer:
51.3
Step-by-step explanation:
Formula For Tan: tan (angle) = opposite/adjacent
Opposite = 10
Hypotenuse = 8
tan (x) = opposite/adjacent
tan (y) = 10/8
y = tan⁻¹ (10/8)
y = 51.3401917459099
y = 51.3 (rounded)
Tip: tan⁻¹ is inverse of tan.
Therefore, y = 51.3
Hope this helped! <3
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
i gicveeeeee brainlilstttt
Answer: (-2,6)
Step-by-step explanation:
Hope this helps ;)
Giving brainliest 7th grade math HELPPP
Answer:
p(Green and Sedan) = 1/3
Step-by-step explanation:
Total number of outcomes = 6
[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]
Possible outcomes = 2
Probability = possible outcomes / total number of outcomes = 2/6 = 1/3
HOPE THIS HELPS YOU
Answer:
5/6= the first one
hey any help is appreciated
Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
Hw help please ASAP
+10PTS
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Remember that:
[tex]Slope \: = \frac{rise}{run} [/tex]
Answer:
½x+3
Step-by-step explanation:
slope = rise/run plus y-intercept
f a car travels 400 m in 20 s, how fast is it going?
Answer:
20m/s
Step-by-step explanation:
Given, s=400m
t=20s
Required, v=?
v=s/t
=400m/20s
=20m/s
what is the solution set of the inequality x+2/2≥-7-x/2
Answer:
[tex]x\geq - \frac{16}{3}[/tex]
Step-by-step explanation:
x +2/2 ≥ -7 - x/2
= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).
Ace Carlos
Answer:
[tex]x\geq \frac{-16}{3}[/tex]
Step-by-step explanation:
Can someone please help me on this? I've been trying for hours and can't seem to find the answer.
Answer: The area of the shape is 90 ft.
Step-by-step explanation:
Draw a line so the shape looks like a triangle and small rectangle.
First, we have to find the area of the rectangle.
Area of rectangle: length x width
The rectangle has a length of 6 ft and a width of 3 ft.
Area of rectangle: 6 x 3 = 18 ft
Now to find the area of the triangle.
Area of triangle: 1/2 x base x height
The triangle's base: 15 - 3 = 12
The triangle's height: 6 + 6 = 12
Area of the triangle: 1/2 x 12 x 12
= 1/2 x 144 = 72ft
To find the area of the entire shape you have to add the area of the rectangle and triangle together.
Area of shape = Area of rectangle + Area of triangle
A of shape = 18 ft + 72 ft
The area of the shape is 90 ft.
Hope that helped!
Please help!!!!!!!!!!!!!!!!!!!!!
Answer:
its 7
Step-by-step explanation:
Please help with this as well
Answer:
Option D is the correct answer
Step-by-step explanation:
w = 35°based on the definition of vertical angles.
Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)
Answer:
Step-by-step explanation:
b/c fractions are confusing :D, put them all in 12th to make it easier
4/12, -8/12, -9/12, -5/12, 1 3/12, 1 5/12
now stick them in order
-9/12, -8/12, -5/12 , 4/12 , 1 3/12, 1 5/12
now put them back to reduced form
-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12
:) better?
what is 3 times 3???
Answer:
9
Step-by-step explanation:
3×3=9
3+3+3=9
Yeeeeejsndnnsjx
Which is the simplified form of the expression
2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?
Answer:
x= 5 whole number and 2/15
Step-by-step explanation: