Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
Does anyone know how to do these?
Answer:
D.
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
[tex]\frac{f}{g}[/tex] (x) = 'f' divided by 'g'
[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex] Substitute.
x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.
That's a no-no.
It makes it 'undefined'
Help me please answer my question
Answer:
1
Step-by-step explanation:
Every time he turns the crank, the boxes go up the same amount of feet. Therefore the correct answer is one.
Answer:
y = x
constant is 1
Step-by-step explanation:
x + y = 10 . If y = 8, find the value of x
Answer:
2
Step-by-step explanation:
x + y = 10
y = 8
Substituting in equation,
x + 8 = 10
=>x = 10 - 8
=>x = 2
1. 80 = -10b
2. 6 = 2n
3. -16r = 32
1.
2.
3.
Answer:
1. - 8
2. 3
3. - 2
Step-by-step explanation:
1.
80 = - 10b
- 10b = 80
b = 80 / - 10
b = - 8
2.
6 = 2n
2n = 6
n = 6 / 2
n = 3
3.
- 16r = 32
r = 32 / - 16
r = - 2
Find the value of x^3 + y^3 + z^3 – 3xyz if x^2 + y^2 + z^2 = 83 and x + y + z = 15
Answer:
180
Step-by-step explanation:
Consider the equation x + y + z = 15
From algebraic identities, we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
So,
(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)
From the question, x^2 + y^2 + z^2 = 83 and x + y + z = 15
So,
152 = 83 + 2(xy + yz + xz)
=> 225 – 83 = 2(xy + yz + xz)
Or, xy + yz + xz = 142/2 = 71
Using algebraic identity a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca),
x3 + y3 + z3 – 3xyz = (x + y + z)(x² + y² + z² – (xy + yz + xz))
Now,
x + y + z = 15, x² + y² + z² = 83 and xy + yz + xz = 71
So, x^3 + y^3 + z^3 – 3xyz = 15(83 – 71)
=> x^3 + y^3 + z^3 – 3xyz = 15 × 12
Or, x^3 + y^3 + z^3 – 3xyz = 180
Answered by GAUTHMATH
[tex]x^{2} -11x=-28[/tex]
Answer:
x = 4, 7
Step-by-step explanation:
We start off with the equation [tex]x^{2} -11x = -28[/tex]. from there, we can add 28 to both sides to get [tex]x^{2} -11x+28 = 0[/tex]. From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!
Answer:
x= 7
x= 4
Step-by-step explanation:
Move terms to the left side
2−11=−28
x^{2}-11x=-28x2−11x=−28
2−11−(−28)=0
Use the sum-product pattern
Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.
2−11+28=0
Factor
Write your equation in factored form
(−7)(−4)=0
Create two separate equations
Set each factor equal to zero
−7=0
x-7=0x−7=0
−4=0
Solve
Rearrange and isolate the variable to find each solution
=7
x=7x=7
=4
Solution
=7=4
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.
Answer:
L=25
W=10
Step-by-step explanation:
Answer:
Width = xLength = 6xUse the perimeter to find x:
[tex]x + x + 6x + 6x = 70\\14x=70\\x=5[/tex]
Therefore,
Width = x = 5Length = 6x = 6(5) = 30Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)
Answer:
540$
Step-by-step explanation:
9x9 = 81
9 + 9 + 9 + 9 = 36
36 x 15 =540
(6x^2-4x-5)(2x^2+3x)
Answer:
[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]
[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]
[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]
[tex]=12x^4+10x^3-22x^2-15x[/tex]
OAmalOHopeO
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
open degrees
Step-by-step explanation:
because I am added all the numbers so it comes
I can't understand that question
Find the circumference
Answer:
90 units
Step-by-step explanation:
circumference C = 2 [tex]\pi[/tex]r
taking [tex]\pi[/tex] as 3.
C = 2 × 3 × 15
(15 is the radius of the circle)
C = 90 units
Answer:
90
Step-by-step explanation:
The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.
But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2
Need helppppp asappp
14-8711
Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answer:
$4,208.5
Step-by-step explanation:
The simple interest rate of the college savings account, R = 5.5%
The amount with which the account was opened, P = $500
The amount added each month to her account = $50
The amount in her account after 4 years = Required
The interest on each added $50 is given as follows;
50 × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50 × 0.055/12 × (47/2)(1 + 47) = 258.5
The total amount deposited = 500 + 50 × 47 = $2,850
The total interest = 500×0.55×4 + 50 × 0.055/12 × (47/2)(1 + 47) = 1,358.5
The amount in her account at the end of 4 years, A, is given as follows
A = $2,850 + $1,358.5 = $4,208.5
make u the subject d²+3u=y/x²
Answer:
[tex]u = \frac{y - (xd) { }^{2} }{3x {}^{2} } [/tex]
Step-by-step explanation:
3u=y/x^2-d^2
3u=y-(xd)^2/x^2
u=y-(xd)^2/3x^2
Find the area of a sector of a circle whose radius is 10 inches and whose
central angle is 52º.
Step-by-step explanation:
AS=∅πr²/360
where ∅=52°, R=10
AS=52°×π×(10)²/360
AS=14.4π
that is the answer
do you have another question to ask me
Which of the following could be the first step in solving the equation below ? 5 ^ x = 21
Answer:
D
Step-by-step explanation:
usually when your variable is an exponent you always take the log of both sides.
The possible first step of solving the equation is log 5^x = log 21
How to determine the first step?The equation is given as:
5^x = 21
Take the logarithm of both sides of the equation
log 5^x = log 21
The above represents the possible first step of solving the equation
Hence, the possible first step of solving the equation is log 5^x = log 21
Read more about equations at:
https://brainly.com/question/2972832
List the angles in order from the smallest to the largest.
A. T, R, S
B. S, T, R
C. S, R, T
D. T, S, R
Answer:
A. T,R,Snhjiooooogfderyyffddt
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Please Explain.
Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is a rate, r = 3.9 × 10³³ ergs/s.
We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.
So, this heat Q = rate × time
Q = rt
Substituting the values of r and t into the equation, we have
Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s
Q = 6.045 × 10³³ × 10⁷ ergs
Q = 6.045 × 10⁴⁰ ergs
So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Since 1.8 × 10⁻² mm = 1.8 × 10⁻² mm × 1cm/10 mm = 1.8 × 10⁻³ cm (since 10 mm = 1 cm) and
1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)
Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8 × 10⁻³ cm = 1.8 × 10⁻² mm which is a small value.
So, measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Learn more about radiant energy here:
https://brainly.com/question/22380590
Answer:
WAS THE OTHER ANSWER CORRECT????
Step-by-step explanation:
Solve The Equation Below
Answer:
16
Step-by-step explanation:
10 + sqrt(y) = 14
Subtract 10 from each side
10 -10+ sqrt(y) = 14-10
sqrt(y) = 4
Square each side
(sqrt(y)) ^2 = 4^2
y = 16
Hello!
[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]
A is the answer.
Good studies!
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be exactly 3 students on the committee b) there must be at least one teacher and at least one student on the committee (3 marks)
Answer:
a)[tex]X=3300[/tex]
b)[tex]Y=7770[/tex]
Step-by-step explanation:
From the question we are told that:
Number Teachers [tex]T=6[/tex]
Number Student [tex]S=12[/tex]
Number in committee [tex]n=5[/tex]
a) Generally the equation for exactly 3 students on the committee is mathematically given by
[tex]X=^{S}C_3*^{T}C_3[/tex]
[tex]X=^{12}C_3*^{6}C_3[/tex]
[tex]X=3300[/tex]
b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways
[tex]T=^{(6+12)}C_5[/tex]
[tex]T=8568[/tex]
Therefore
[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]
[tex]Y=8568-798[/tex]
[tex]Y=7770[/tex]
Can someone help me with this math homework please!
1. C
2.A
3.D
4.B
Here's the answer.
Answer:
1 C
2 A
3 D
4 B
Step-by-step explanation:
The y-intercept is whenever the graph crossses the y-axis, so the input will always be 0.
When f(x) > 0, that's when the output is greater than 0, so it would be above the x-axis.
The x-intercept is whenever the graph crosses the x-axis, so the output will always be 0.
Hope that helps (●'◡'●)
I need help what’s the answer?
Answer:
Step-by-step explanatiobxbsbsx
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I need Help!!
A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(1.6)x, with a vertical asymptote of x = 0
Answer:
(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
Step-by-step explanation:
The function is in the form
y = a b^x
where a is the initial value and b is the growth (or decay rate)
a = 5000 and b = 40 %
(If we have been given 40 % dies off we would have taken 1-40% or 1- .4)
y = 5000 ( .4) ^x
This has a horizontal asymptote at y = 0 because we will never get to 0 bacteria. There will always be part of a bacterial left
Answer:
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
Step-by-step explanation:
Edge
Select the relationship that does represent a function.
Answer:
c
Step-by-step explanation:
Use a double-angle or half-angle identity to find the exact value of each expression?
If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.
Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:
tan²(θ) + 1 = sec²(θ) ==> sec(θ) = √(tan²(θ) + 1)
… ==> cos(θ) = 1/√(tan²(θ) + 1)
… ==> cos(θ) = 1/√5
Now, recall the half-angle identity for sine:
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = √[(1 - cos(θ))/2]
==> sin(θ/2) = √[(1 - 1/√5)/2]
==> sin(θ/2) = √[(√5 - 1)/(2√5)]
==> sin(θ/2) = √[(5 - √5)/10]
HELP QUICK PLEASE!!
Which postulate, if any, could be used to prove the triangles are cong
Side-Angle-Side (SAS)
Side-Angle-Angle (SAA)
Angle-Angle-Side (AAS)
These triangles cannot be proved congruent.
Answer: They cant actually be proven to be congruent
Step-by-step explanation: this is because each triangle only shows an angle (The half circle) and a side (The little tick/line on the side of the triangle). Please make sure to give me the brainliest answer!
Which best explains why these two figures are similar or not similar?Which best explains why these two figures are similar or not similar?
Answer:
These two figures are not similar because 4/8 does not equal 6/10.
the coefficient of x in -7xy is -7
Answer:
True: the leading coefficient in the monomial is -7
Step-by-step explanation:
Math
can i get some help. did it 3 times and still not sure.
Answer:
18
Step-by-step explanation:
The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):
[tex]\frac{3(1.5)^2(8)}{3}[/tex]
We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.
PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS
Answer:
3x-7y and -7y+ 3x
Step-by-step explanation:
3x + (-7y) = (-7y) + 3x
Answer:
Step-by-step explanation:
The first set of expressions are equivalent; they are identical except for order of the terms.
