Answer:
x=-10
Explanation:
6x-3=9x+27(distributive property)
6x-9x=27+3(move like terms to one side)
-3x=30(combine like terms)
x=-10(divide both sides by -3)
Answer:
= − 1 0
Step-by-step explanation:
Hope this helps! :)
Describe how the graph of y=lxl – 7 is like the graph of y=lxl and how it is different.
Answer:
y = |x| is a parent function
y = |x| - 7 is a translation of the parent function vertically by 7 points down
The shape is same, just the entire graph has shifted down.
It's translated edition of parent function y=|x|
y=|x|If we translate it 7units down then the function is
y=|x|-7So
Everything is same
Just the graph shifted 7units downwards
There are 350,000 children in the sample population aged t to 14 years oid. In this population, 100 people died from a disease. Ot the 100 deaths, 20 deaths wore among chilIren ages 1 to 14 years. What is the age-specifio mortality rate for children aged 1 to 14 per 100,000 ? a. (37/381,910)×100,000=9.7 deathis per 100.000 populations aged 1 to 14 b. (1001381,910)×100,000=26.2 deaths per 100,000 populations aged 1 to 14 c. (63/381,910)×100,000=16.5 deaths per 100,000 populations aged 1 to 14 d. (37/100)×100,000=37,000 deaths per 100,000 populations aged 1 to 14
The age-specific mortality rate for children aged 1 to 14 per 100,000 is approximately 5.71 deaths per 100,000 populations aged 1 to 14.
To calculate the age-specific mortality rate for children aged 1 to 14 per 100,000, we need to divide the number of deaths among children aged 1 to 14 by the total population of children aged 1 to 14 and then multiply by 100,000.
Given:
- Total population of children aged 1 to 14: 350,000
- Total number of deaths from the disease: 100
- Number of deaths among children aged 1 to 14: 20
The calculation would be as follows:
Mortality rate = (Number of deaths among children aged 1 to 14 / Total population of children aged 1 to 14) × 100,000
Mortality rate = (20 / 350,000) × 100,000
Simplifying the calculation:
Mortality rate = 0.000057142857 × 100,000
Mortality rate = 5.7142857
Therefore, the age-specific mortality rate for children aged 1 to 14 per 100,000 is approximately 5.71 deaths per 100,000 populations aged 1 to 14.
None of the given options matches the calculated value.
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Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.
Answer:
2^-2
Step-by-step explanation:
When multiplying indices or exponents with the same base number, you can add the powers:
2^4 x 2³ = 2^7 (4 + 3 = 7)
2^5 x 2^4 = 2^9 (5 + 4 = 9)
When dividing indices or exponents with the same base number, you can subtract the powers:
2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)
(x+4) ² remove bracket and simplify
Answer:
To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.
So,
(x + 4)² = x² + 2(x)(4) + 4²
= x² + 8x + 16
Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.
Step-by-step explanation:
Answer:
x²n+ 8x + 16
Step-by-step explanation:
(x + 4)²
= (x + 4)(x + 4)
each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 4(x + 4) ← distribute parenthesis
= x² + 4x + 4x + 16 ← collect like terms
= x² + 8x + 16
G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).
For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
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Complete each ordered pair so that it is a solution of the given linear equation. x-4y=2; ( ,3), (-10, )
The completed ordered pairs that are solutions of the linear equation x - 4y = 2 are (14, 3) and (-10, -3).
To complete the ordered pairs that are solutions of the linear equation x - 4y = 2, the missing values can be found by substituting the known value of y into the equation for the first ordered pair and substituting the known value of x into the equation for the second ordered pair.
For the first ordered pair (x, 3), we know that the value of y is 3. To find the value of x, we can substitute y = 3 into the equation x - 4y = 2:
x - 4(3) = 2
x - 12 = 2
x = 2 + 12
x = 14
Therefore, the completed first ordered pair is (14, 3).
For the second ordered pair (-10, y), we know that the value of x is -10. To find the value of y, we can substitute x = -10 into the equation x - 4y = 2:
-10 - 4y = 2
-4y = 2 + 10
-4y = 12
y = 12/(-4)
y = -3
Therefore, the completed second ordered pair is (-10, -3).
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Ling Ling, a giant panda, eats an average of 40 pounds of bamboo every day! At that rate,
how many tons of bamboo would she eat in a year?
Answer:
The answer would be 14600 lbs
Step-by-step explanation:
take the days of the year (365) multiplied by how many lbs a day (40) which would be 14600 lbs
Answer:
The answer is 7.3 tons
Step-by-step explanation:
10. The average resting heart rate of a population is 87 beats per minute, with a standard deviation of 11 bpm. Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest hundredth, if necessary.(a) 110 bpmz = (b) 80 bpmz =
The formula for determining the z score is expressed as
z = (data value - mean)/standard deviation
a) data value = 110
mean = 87
standard deviation = 11
z = (110 - 87)/11
z = 2.09
b) data value = 110
mean = 80
standard deviation = 11
z = (80 - 87)/11
z = - 0.64
88 Decigrams equals 8.8 what
Answer:
8.8 grams
...................
The required 88 Decigrams equals 8.8 grams.
Given that,
To determine 88 Decigrams equals 8.8.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
10 decigram = 1 gram
88 decigram = 8.8 gram
Thus, the required 88 Decigrams equals 8.8 grams.
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The Lars family has a moisture farm on the planet Tatooine. They owned 5 acres of land. They sold 2/7 of their land to the Tusken Raiders. How many acres did they have left?
Answer:
25/7 acres or 3 4/7 acres
Step-by-step explanation:
The sold 2/7 of the land.
1 - 2/7 = 7/7 - 2/7 = 5/7
They have 5/7 of the land left.
5/7 of 5 acres = 5/7 × 5 acres = 25/7 acres = 3 4/7 acres
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.
Answer:
Step-by-step explanation:
Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50
Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)
the +35 is the tips extra/ constant that will be added after the jobs are done.
x is the number of car washes done
y would be the profit received.
so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)
Does any body know the central angle for this?
Answer:
220 degree
Step-by-step explanation:
Given the radius=18cm , pi=3.14.. , area=198π
Area of a sector =∅×π×r²/360
or,198π=Θ×π×r²/360
or,Θ=360×198π/πr²
∴Θ=220°
Pls help me and thank you!
Answer:
Substitute your answer for Step 1 into the second equation to solve for Z.
Kim bought a hat in California. The hat cost $15 before the 8% sales tax was applied. How
much did Kim pay for the hat after taxes were added?
Answer:
$16.20
Step-by-step explanation:
to find the sales tax multiply the original number by the sales tax. 15*.08 is 1.2. Then add that to $15
The ratio of boys to girls in a class is 4:2. There are 30 students in class. How many girls and boys are there?
Answer:
20 boys, 10 girls
Step-by-step explanation:
4 + 2 = 6
4:6 ⋅ 5:5 = 20:30
2:6 ⋅ 5:5 = 10:30
Consider the function f(x) = x(x – 4). If the point (2 + cy) is on the graph of f(x), the following point will also be on the graph of f(x): Select a Value Select a Value (C - 2,y) (2-cy)
Answer:
(2-cy) is the correct answer for the problem
You will begin with a relatively standard calculation Consider a concave spherical mirror with a radius of curvature equal to 60.0 centimeters. An object 6 00 centimeters tall is placed along the axis of the mirror, 45.0 centimeters from the mirror. You are to find the location and height of the image. Part G What is the magnification n?. Part J What is the value of s' obtained from this new equation? Express your answer in terms of s.
The magnification n can be found by using the formula n = -s'/s, where s' is the image distance and s is the object distance. The value of s' obtained from this new equation can be found by rearranging the formula to s' = -ns.
To find the magnification n, we can use the formula n = -s'/s, where s' is the image distance and s is the object distance. In this case, the object is placed 45.0 centimeters from the mirror, so s = 45.0 cm. The magnification can be found by calculating the ratio of the image distance to the object distance. By rearranging the formula, we get n = -s'/s.
To find the value of s' obtained from this new equation, we can rearrange the formula n = -s'/s to solve for s'. This gives us s' = -ns. By substituting the value of n calculated earlier, we can find the value of s'. The negative sign indicates that the image is inverted.
Using the given values, we can now calculate the magnification and the value of s'. Plugging in s = 45.0 cm, we find that s' = -ns = -(2/3)(45.0 cm) = -30.0 cm. This means that the image is located 30.0 centimeters from the mirror and is inverted compared to the object.
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how much money would you need to put in the bank if you get a simple interest rate of
5% for 4 years, and you want to make at least $500 in interest? Round to the nearest whole dollar
amount (be sure to put the $ in your answer)
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
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also h*t and s**y ..
Answer:
plz mark me as a brainelist
hope it helps you
Which is the best estimate of the difference between 6 7 8 678 and 2 1 8 218
Answer: C.5
Step-by-step explanation:
Please help me!!!!!! I really neeeeeeed
Answer:
A-(x+4,y-5)
B- move 1 unit left and 7 units down
Step-by-step explanation:
A- 4 units right is x so
(x+4,y__)
5 units down is y so
(x+4,y-5)
B- move 1 unit left and 7 units down
because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.
TIP- Going left/down is always subtract/negative going right/up is positive/addition.Jamie Was Asked To Evaluate ∫−22(X9−3x5+2x2−10)Dx Jamie Said This Integral Is Equal To Zero Because It Is An Odd Function. Is Jamie Correct? Explain Why Or Why Not (Be Sure To Show How To Verify If A Function Is Odd!). Then Evaluate The Integral To Prove Your Point. 3. Given F(X)=∫0x(9t3−4t+Sint)Dt. A) Integrate To Determine F As A Function Of X. B)
To determine F(x) as a function of x, we need to find the antiderivative of the integrand:
F(x) = 9x^4/4 - 2x^2 - Cos(x) + 1.
Jamie's claim that the integral ∫[-2, 2] (x^9 - 3x^5 + 2x^2 - 10) dx is equal to zero because it is an odd function is incorrect. To determine if a function is odd, we need to check if f(-x) = -f(x) for all x in the domain of the function.
Let's verify if the function f(x) = x^9 - 3x^5 + 2x^2 - 10 is odd:
f(-x) = (-x)^9 - 3(-x)^5 + 2(-x)^2 - 10
= -x^9 + 3x^5 + 2x^2 - 10
Since f(-x) is not equal to -f(x), we can conclude that the function is not odd.
Now, let's evaluate the integral to determine its value:
∫[-2, 2] (x^9 - 3x^5 + 2x^2 - 10) dx
To evaluate the integral, we find the antiderivative of each term and apply the limits of integration:
= [(x^10/10) - (3x^6/6) + (2x^3/3) - (10x)] evaluated from -2 to 2
Evaluating the antiderivative at the upper limit:
= [(2^10/10) - (3(2^6)/6) + (2(2^3)/3) - (10(2))]
And evaluating the antiderivative at the lower limit:
[(-2^10/10) - (3(-2^6)/6) + (2(-2^3)/3) - (10(-2))]
Simplifying:
= [(1024/10) - (3(64)/6) + (2(8)/3) - 20] - [(-1024/10) - (3(-64)/6) + (2(-8)/3) + 20]
= [102.4 - 32 + 16/3 - 20] - [-102.4 + 32 - 16/3 + 20]
= 70.4 - (-70.4)
= 70.4 + 70.4
= 140.8
The value of the integral is 140.8, which is not equal to zero. Therefore, Jamie's claim is incorrect.
Given F(x) = ∫[0, x] (9t^3 - 4t + Sin(t)) dt:
a) To determine F(x) as a function of x, we need to find the antiderivative of the integrand:
F(x) = ∫[0, x] (9t^3 - 4t + Sin(t)) dt
= [9t^4/4 - 2t^2 + (-Cos(t))] evaluated from 0 to x
= (9x^4/4 - 2x^2 - Cos(x)) - (0 - 0 - Cos(0))
= 9x^4/4 - 2x^2 - Cos(x) - (-1)
= 9x^4/4 - 2x^2 - Cos(x) + 1
So, F(x) = 9x^4/4 - 2x^2 - Cos(x) + 1.
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Calculate the difference between 7.841 and 3.733
You have to subtract each value from rigth to left.
\(\begin{gathered} 007.841 \\ -03.733 \\ \text{ 4.107} \end{gathered}\)The result for 7.841 minus 3.733 is 4.107
Which of the relations given by the following sets of ordered pairs is a function?A.{(2, 4), (2, 6), (2, 8), (2, 10), (2, 12)}B.{(0, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)}C.{(8, 1), (-4, 1), (3, 5), (0, 4), (-1, 2)}D.{(-5, -4), (-4, -3), (-3, -2), (-4, -5), (-2, -1)}
Answer:
Option C
Step-by-step explanation:
your x values cannot repeat for the function
So in Option C x values are not repeating
the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle
Width is 24 & Length is 12 of a rectangle.
What is rectangle short answer?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.give,
Perimeter = 72
Width = 2*Length
Let P = Perimeter
Let W = Width
Let L = Length
Knowing
P = 2L + 2W = 72
W = 2L
We can rewrite everything in terms of Length
72 = 2L + 2(2L)
72 = 2L + 4L
72 = 6L
72/6 = L
12 = L
W = 2L
W = 2(12) = 24
Width is 24
Length is 12
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a vacationer has $300 to spend over the next 20 days the first two days she spends $20 on food each day she vists with a family member for the next four days and does days until she spends all of her money. what is the independent and dependent variable
The independent and dependent variables will be x and C, respectively.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A vacationer has $300 to spend over the next 20 days.
For the first two days, she spends $20 on food each day.
She visits with a family member for the next four days
Then the total number of days remaining will be
⇒ 20 - 2 - 4
⇒ 20 - 6
⇒ 14 days
Let x be the amount spent each day and C be the remaining amount.
C = 14x + 300 - 40
C = 14x + 260
Then the independent and dependent variables will be x and C, respectively.
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Which statements comparing the functions are true? Check all that apply. F(x) and h(x) have x-intercepts. F(x), g(x), and h(x) have y-intercepts. The domain of g(x) includes more values than the domains of f(x) and h(x). The range of g(x) includes more values than the ranges of f(x) and h(x). G(x) has the greatest maximum. H(x) has the lowest minimum.
Answer:
First one second one and fifth one.
Step-by-step explanation:
Got it right on edge
Mary plans to invest 2,500 for 10 years she invest in a savings account that pays 4.5 % simple intrest she made no additional deposit or withdrawals how much money will she have at the end of 10 years in the account
1125 money will she have at the end of 10 years in the account after Simple Interest.
What is a basic example and interest?
Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.Mary plans to invest = 2500
t = 10 yr
r = 4.5 %
simple intrest = prt/100
= 2500 * 10 * 4.5 /100
= 1125
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help plzzzzzz as soon as possible
Answer:
when x = -5 y is -48
when x is -1 y is -8
when x is 0 y is 2
when x is 1 y is 12
Step-by-step explanation:
How many ml is 1.6 oz?
The value of 1.6 ounces into milliliters is 47.2336.
One common question in cooking and measuring ingredients is converting between milliliters (ml) and ounces (oz). A milliliter is a unit of volume in the metric system, while an ounce is a unit of volume in the imperial system.
To convert 1.6 oz to ml, we need to know the conversion factor.
1 oz is equal to 29.5735 ml.
To convert 1.6 oz to ml, we multiply 1.6 by 29.5735, which gives us 47.2336 ml.
Therefore, 1.6 ounces is equal to 47.2336 milliliters.
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