Answer: 72
Step-by-step explanation:
L= 3W
area of a rectangle A= LxW
replace L with 3 W
A=3W*W= 3w^2
243=3W^2
243/3=W^2
81=w^2, and W=9
L=3*9=27
P= (L+W)=2(27+9)=72
What is the exact distance from (-5,1) to (3,0).
Answer:
The distance between the two points is [tex]\sqrt{65} \ \text{units}.[/tex]
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
[tex]\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
[tex]\bullet \ \ \ (x_1, y_1), (x_2, y_2)[/tex]
This assigns a name to our points:
[tex]x_1 = -5[/tex][tex]y_1 = 1[/tex][tex]x_2 = 3[/tex][tex]y_2 = 0[/tex]Therefore, we can plug these into the formula and solve:
[tex]d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}[/tex]
Therefore, the distance between the two points is [tex]\sqrt{65} \ \text{units}[/tex].
According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.
Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
What is the 15th term of the sequence an =
-3n+50
D. 95
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
Raise the product of 36 and 9 to the power of the sum of 2 and 4.
Which of the following expressions matches the sentence above?
A.
(36 = 9(2+4)
B.
(36 x
9)(2+4)
O c.
(36 x 9)(2x4)
D.
(36 = 9)2 + 4
Answer:
B
Step-by-step explanation:
36 x 9 = 324
4+2=6
324^6
=324*324*324*324*324*324
=1156831381426176
What is the value of the expression below?
2 [32 - (4-1) to the power of 3]
Enter your answer in the box.
Answer:
the answer is 10
Step-by-step explanation:
how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one
Answer:
b) infinitely many
hope it helps
plz help i have a branliest
Answer:
Use a calculator lol
Step-by-step explanation:
Answer:
Step-by-step explanation:
s= 2, 2 and 11
I= 2, 5 and 3
u=2, 7 and 5
t= 2, 2, 3 and 3
b= 2, 2, 5 and 5
n= 2, 2, 19
p= 2, 3, 3 and 5
o= 2, 2 and 17
r= 3, 3 and 11
m= 2, 3, 3 and 7
d= 2, 3 and 7
e= 2, 2, 3 and 11
I REALLY NEED HELp!!!!!!!!
Retail Price Quantity Total Price
Twister Pen .35 * 2 = $0.70
Mini Fish Eraser .50 * 1 = $0.50
Happy Cap Eraser .05 * 5 = $0.25
Erasing Grip .35 * 3 = $1.05
---------
Subtotal .7 + .5 + .25 + 1.05 = $2.50
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Retail Price Quantity Total Price
Twister Eraser .35 * 3 = $1.05
Astral Wonders Pencils .20 * 4 = $0.80
Criss Cross Critters .15 * 2 = $0.30
Traction Mechanical
Pencil .35 * 2 = $0.70
Muchin Mike Sharpener .50 * 2 = $1.00
----------
Subtotal 1.05 + .8 + .3 + 0.7 + 1 = $3.85
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Best of Luck!
Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. What is the total number of centimeters Omar and Paula ran?
Answer:
325000 + 420000 = 745000
Step-by-step explanation:
They ran 745000 centimeters all together
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I NEED TO TURN IT IN TODAY
Answer:
The answer is 833.65384615385
Step-by-step explanation:
Please help me please
Answer:
To be honest I don't know I just need some points 1+1=2
Step-by-step explanation:
HEY THS IS WORTH 69 POINTS
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate
the rectangle 180° about the origin. What are the coordinates of the image?
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
Answer:
A
Step-by-step explanation:
Identify the pattern rule for this sequence
Answer:
it should be c
Step-by-step explanation:
What is the K for this story Problem? John bought 27 baseball cards for $9. How many baseball cards can he buy with $84?
Answer:
210
Step-by-step explanation:
9 divided by 27 = .33333 = .4
you would divide 9 by 27 because if you did 27 divided by 9 he would only have 3 cards
84 divided by .4 = 210
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
If f(1) = 10, what is f(3)?
Answer:
30
Step-by-step explanation:
multiply each f by the same root numeral
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
What number is equivalent to 15 and 25
Answer:
yo are you talking about like absolute value? then it's | -15 | and | -25 |
Step-by-step explanation:
Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
Can someone answer this I would really appreciate it thanks :)
Answer:
Y = 130
X = 20
Z = 110
Answer:
y= 130 degrees x= 20 degrees z= 110 degrees
Step-by-step explanation:
I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50) from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.
plleaasseee hurrry need help now
Answer:
107º
Step-by-step explanation:
Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.
180 - 135 = 45
So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:
28 + 45 + x = 180
73 + x = 180
Subtract 73 on both sides you get,
x = 107.
Measure DEF is 107.
Steve's bedroom measures 12 feet by 13 feet. Ricardo's bedroom measures 8 feet by 14
feet. Assuming that both bedrooms are rectangular, whose room has the greater area?
Answer: Steve's bedroom has the greater area.
Step-by-step explanation: The formula for area is Area = Length x Width.
So all you have to do to figure this out is multiply the Width of the rooms by the length.
So Steve's room is 12ft X 13ft = 156ft
Ricardo's room is 8ft X 14ft = 112ft
156ft > 112ft
Steve's room has a greater area.
The decay of 277 mg of an isotope is described by the function A(t)= 277e^0.019t , where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg. Show all of your work for full credit.
The decay of 277 mg of an isotope is described by the function
A(t)= 277e-0.019t,
where t is time in years.
To find the amount left after 64 years,
We substitute t = 64 in the expression.
A(t=64)= 277e-0.019(64)
or A(t=64) = 277 * e-1.216
= 277 * 0.29
= 82 mg
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
find the distance from point A to the given line
A(2,-1), y=-x+4
Answer:
using distance formula you can solve it
choose all the polygons
Answer:
A, B, E, F
Step-by-step explanation:
A polygon is ANY shape formed with only straight lines.
pls help me on this iready question I beg u
Answer:
We conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Step-by-step explanation:
Suger needed for a full batch = 3/4Given that Farid is making 1/2 of batchWe need to determine the expression for the amount of sugar Freed needs to make 1/2 batch.
Let 'x' be the batch and 'y' be the amount of sugar
Suger needed for a full batch = 3/4 cup of a sugar
so
x = 3/4yBut, Farid is making 1/2 of the batch.
Thus, multiply both sides by 1/2
[tex]x\times \frac{1}{2}\:=\:\frac{3}{4}y\times \frac{1}{2}[/tex]
[tex]\frac{x}{2}=\frac{3y}{8}[/tex]
Therefore, we conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Is there a proportional relationship between x and y? Explain.
8 10 12 14
х
y
5
9
11
A.
Mo
at 2
No; all ratios
are not equivalent.
B.
Yes; each x value and y value increases by 2.
C.
Yes; the difference between each x value and y value is 3.
D
202
No; all ratios
are greater than 1.
Answer:
The answer is B. Hope it helps :)