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Related Questions
if y+z=4 and yz=3 then find y³+z³=?
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y+z=4 => y=4-z
yz=3 => (4-z)z=3
=> z^2-4z+3=0
=> z=1 y=3 OR z=3 y=1
=>y^3 + z^3 =3^3+1=28
What is the equation of the circle?
Answers
Answer:
x² + y² = 3
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
Using Pythagoras' identity in right triangle CRT
CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )
CR = r = [tex]\sqrt{3}[/tex] , then
x² + y² = ([tex]\sqrt{3}[/tex] )² , that is
x² + y² = 3
Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm
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Answer:
6cm is the correct answer
The area of a rectangle is 221 in?. If its width is 13 in, then find its length.
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Suppose that your mom gives you $20 to go to the school supplies store.
There is a 6% sales tax on supplies. You need to buy the following items
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so first you want to add up all the school supplies like normal and then times it by 0.06 and then add it to the original number and the answer is $13.90
Max and Jay Are running a lemonade stand they spent $12 on all the material and charge $1.50 for each cup of lemonade write an equation that will allow you to calculate the profit (P) if you are told the number of cups (c) that are sold.
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Answer:
P = $1.50c - $12
Step-by-step explanation:
profit = total revenue - total cost
total revenue = price per cup x total cup sold = $1.5 x c = 1.5c
Cost = $12
PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?
A. One
B. Two
C. None
D. Infinitely many
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Answer:
same line....infinite solutions
Step-by-step explanation:
4y + 7 = 5 + 2 + 4y...simplify
4y + 7 = 7 + 4y
Does the expression Y>2x-1 define a function?
Answers
Step-by-step explanation:
This is a polynomial, and every expression like y=p(x) , with p(x) a polynomial, is a function.How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.
Answers
Answer:
the time period is 38.28 years
Step-by-step explanation:
The computation of the time period is shown below:
Given that
RATE = 6.2%
PV = $500
PMT = $0
FV = $5,000
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 38.28 years
Hence, in order to save $5,000 it would take 38.28 years
which table shows the function y=2x+4?
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Those are the reasons when I put BD perpendicular to AC
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Step-by-step explanation:
Actually, ∠BDA＋∠BDC=180°
2∠BDA= 180°(CPCTC)
∠BDA= 90°
This is how BD is perpendicular to AC
what is 10 x 40 to the 12 power divided by 3 x 4
Answers
Answer:
33.33333333
Step-by-step explanation:
Find the volume of a figure that has a length of 5 cubic units, a width of 5 cubic units, and a height of 5 cubic units. *
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Answer:
V = 125 cubic units
Step-by-step explanation:
The formula for volume is length x width x height. Now we must solve.
Solve:
5 x 5 x 5 = 125
125 cubic units
Answer:
125 units^3
Step-by-step explanation:
To find the volume of a cube (a figure with all the same side lengths) you multiply any length by itself 2 times or cube it
5^3 = 5*5*5 = 125 units^3
What answer would this be?
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Which function represents the given graph?
O f(x) = 100 (3/5)^x
O f(x) = (100 ×3/5)^x
O f(x) = 100+ 3/5x
O f(x) = 100×(2/5)x
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Answer:
A. f(x) = 100 · (3/5)^x
Step-by-step explanation:
Answer: edge 2021
Step-by-step explanation:
Which two quadrilaterals are reflections of each other across the y-axis? i forgot to add the picture to the last one .
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Answer
F and G
Step-by-step explanation:
Answer:
F and G
Step-by-step explanation:
2(2.2h+5.8h)+15(15h+5)
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Answer:
,,,,,,,,,,,,,,,,,,,,,,,,,
In the year 2000, the population of Virginia was about 7,400,000.
Between the years 2000 and 2004, the population in Virginia grew
at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000 (1.054)*
gives the population x years after 2000.
9. In what year will the population reach 15,000,000?
10. In what year will the population reach 20,000,000?
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Answer:
Step-by-step explanation: 7,400,000/5.4%=13,703.7
grows by 13,703.7 every 4 years
7+7
I DON'T UNDERSTAND HOW THE ANSWER IS 15% PLEASE EXPLAIN
A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?
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Answer:
15%
Step-by-step explanation:
17/20 the 17 is the part, and the 20 is the whole
17/20 = x/100
cross multiply
17*100= 1,700 divide by 20
=85
The price reduced to 85% the original price, but to find out how much it changed, you have to subtract the part from the whole meaning
100% - 85% = 15%
PLEASE HELP!! ILL MARK BRAINLYEST!!
Evaluate 6C2 .
120
15
720
30
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Answer: 15
Step-by-step explanation:
no
Answer:
15
Step-by-step explanation:
ITS RIGHT
PLEASE HELP ASAP
Find the surface area and the volume of the cone:
*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.
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Answer:
surface area= 301.6
volume=301.6 again Imao I'm not sure how right that is
A circular plate has a radius of 12 inches. Complete the table. Include a number and a unit in the last column.
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Answer:
Area A = πr² 452.16 in²
Circumference C = π2r 75.36 in
2. The number of atoms of a particular chemical element is modelled by
the following function: y=600 x 3-* where x is the number of hours.
a) How many atoms of the element were there at the start?
b) Draw a graph for 0
c) At what time were there 150 atoms?
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9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
__
c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Adam is going to invest $23,000 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Adam to end up with $51,000?
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Answer:4.2
Step-by-step explanation:
4.19122
Answer:4.2
Step-by-step explanation:
what is 5+5
=10 for me
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Answer:
that will be 10?
Step-by-step explanation:
Answer:
5+5=10 is right
Step-by-step explanation:
please mark me brainliest
find the length of the missing side in the following examples
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Answer: 1. 6.1
2. 13
3. 5.4
4. 5.7
5. 10.4
6. 31
Step-by-step explanation:
I got the values of the missing sides by doing the Pythagorean theoreom. Therefore, I had to find the length of the hypotenuse. a^2+b^2=c^2
a and b are the values of the sides given, and we have to find the value of c. So, for instance on number one 6 and 3 are a b. (6)^2+(3)^2= 45. Now we have to find the square root of 45. The square root of 45 is 6.7082039325.
So the value of the missing side in number one is 6.7.
I NEED HELP ASAP! PLEASE
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Answer:
I believe it’s c tell me if i’m wrong
Step-by-step explanation:
how do you solve this??
Answers
Answer:
The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.
(っ◔◡◔)っ ♥ Hope It Helps ♥
Find the volume of each solid figure. (the yellow and blue figures)
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3)If a prism has 5 sides for its base how many faces should the prism have?
0
1
5
10