Answer:
-3 = 8v-9v
-3 = -1v
v = -3/-1
v = 3
ONE SOLUTION
Determine which integers in the set S:{−40, −10, 20, 40} will make the 1/5(m-5) < 1/10 (m-20) false. (btw there is supposed to be a line under < but am on a pc so i can't)
A: S:{−40, −10}
B: S:{−10, 20}
C: S:{20, 40}
D: S:{−40, 40}
The integers that make the inequality false are 20 and 40, so the correct option is C.
Which integers will make the inequality false?The set of integers is {-40, -10, 20, 40} and the inequality is:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
We can solve this for m:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
m/5 - 1 ≤ m/10 - 2
m/5 - m/10 ≤ -2 + 1
m*(1/5 - 1/10) ≤ -1
m*(1/10) ≤ -1
m ≤ 10*-1
m ≤ -10
So any value larger than -10 makes the inequality false, in our set these are 20 and 40.
Then the correct option is C S:{20, 40}
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Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
I need help to find the coordinates
2/? x 4/2 = 8/14
:>>
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
The unknown value in the given expression is 7.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,
So,
2/? x 4/2 = 8/14
8/2? = 8/14
1/2? = 1/14
2? = 14
? = 14/2
? = 7
Hence, the unknown value in the given expression is 7.
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Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour. For how many hours would Ali have to rent the bounce house from Company B before it becomes less expensive to rent from Company A? Explain.
Answer:
I am on the same question with u with my hw
Step-by-step explanation:
I need to answer for points
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
1.)For air travelers, one of the biggest complaints is of the waiting time between when the airplane taxis away from the terminal until the flight takes off. This waiting time is known to have a skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled. Describe the sampling distribution of the mean waiting time between when the airplane taxis away from the terminal until the flight takes off for these 100 flights.
Answer
Distribution is skewed-right with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is skewed-right with mean = 10 minutes and standard error = 8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 8 minutes.
2.)
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?Answer
0.029
0.050
0.091
0.120
3.)
A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product. The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes. What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?Answer
0.22313
0.48658
0.51342
0.77687
4.)
Which of the following statements is true?Answer
If the confidence interval estimate for the regression slope coefficient crosses over zero, the average change in y for a one-unit change in x may be zero.
If the regression slope coefficient is very close to zero, this means that the relationship between the x and y variable is statistically insignificant.
A statistically significant regression slope coefficient indicates that for a one-unit change in y there will be a positive change in x by an amount equal to the regression slope coefficient.
It is acceptable to make predictions for y using x values that are outside the range of the data that was used in the regression.
5.)
An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What total sample size would the economist need to use for a 95% confidence interval if the width of the interval should not be more than $100?Answer
n = 1537
n = 385
n = 40
n = 20
Answer:
I can tell it's the answer number 5
Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT
Answer:
The answer is B, -4
Step-by-step explanation:
Subtract 4 on both sides
\(-8x=32\\\)
Divide both sides by -8
\(x=-4\)
How many terms are in the algebraic expression 3x^2+4y-1
Sphere with a diameter of 6 inches
Please help me answer this
Explain you’re answer
Will give braisnlt
Answer:
Concept: Math Analysis
So we want the cost of a 8 × 10 Notice the price distribution So 1.50Will mark brainlyest
Express the given function h as a composition of two functions f and g so that h(x)=(fog)(x) where one of the functions is 8x-9.
h(x)=(8x-9)^2
f(x) = ?
g(x) = ?
Given:
h is composition of two functions f and g.
\(h(x)=(f\circ g)(x)\)
One of the function is 8x-9.
\(h(x)=(8x-9)^2\)
To find:
The functions f(x) and g(x).
Solution:
We know that,
\(h(x)=(f\circ g)(x)=f[g(x)]\)
We have,
\(h(x)=(8x-9)^2\)
Here, first function is 8x-9 and the second is square of it.
In \((f\circ g)(x)=f[g(x)]\), first function which is applied is g(x) and the second function is f(x).
Let \(g(x)=8x-9\) and \(f(x)=x^2\).
\(h(x)=f[8x-9]\)
\(h(x)=(8x-9)^2\)
So, our assumption is correct.
Therefore, the required functions are \(g(x)=8x-9\) and \(f(x)=x^2\).
how do i solve this step by step PLS HELP ASAP
Answer:
x=42
Step-by-step explanation:
step 1: multiply 3 to both sides of the equation to isolate x
then you get x=14x3=42
x=42
Answer:
X=42
Step-by-step explanation:
14 * 3= 42
14 = x/3
14= 42/3
divide
14=14
At a football game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.Number of sodas sold:Number of hot dogs sold:
Let the number of sodas be s and the number of hotdogs be h
Since there are 172 sodas and hot dogs, then
Add s and h, then equate the sum by 172
\(s+h=172\rightarrow(1)\)Since the number of sodas is three times the number of hot dogs
That means s is equal to 3h
\(s=3h\rightarrow(2)\)Now, substitute s in equation (1) by equation (2)
\(\begin{gathered} 3h+h=172 \\ 4h=172 \end{gathered}\)Divide both sides by 4
\(\begin{gathered} \frac{4h}{4}=\frac{172}{4} \\ h=43 \end{gathered}\)Substitute h in equation 2 by 43
\(\begin{gathered} s=3(43) \\ s=129 \end{gathered}\)The answer is
The number of sodas sold: 129
The number of hot dogs sold: 43
HELP ASAP PHOTO INCLUDED
The volume of the cylindrical shaped pool with water is V = 75.4 feet³
Given data ,
Let the diameter of the pool be d = 8 feet
So , radius r = 4 feet
And , the height of the cylindrical pool is h = 3 feet
Now , the water is half full
So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h
V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )
On simplifying , we get
V = 75.4 feet³
Hence , the amount of water in pool is V = 75.4 feet³
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Analyze the diagram below and complete the instructions. Find the value of x and the value of y
The value of the variable x and y will be 15 and 5√3. Then the correct option is D.
The complete question is attached below.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right triangle is shown.
Then the value of x will be
x = 10√3 × sin 60°
x = 15
Then the value of y will be
y = 10√3 × cos 60°
y = 5√3
Then the correct option is D.
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A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).
Answer:
(c) The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
Step-by-step explanation:
You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).
Inverse functionThe inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...
f(a) = b
then the graph of f(x) contains the ordered pair (a, b).
The inverse function will have the ordered pair (b, a). That is,
f⁻¹(b) = a
ApplicationIf an ordered pair (x-intercept) of the inverse function is ...
(P, 0)
Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.
The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
__
Additional comment
The graphs of the two functions are mirror images of each other across the line y=x.
<95141404393>
Find the area of the following parallelogram.
Soln,
Area of Parallelogram= B.H
= 6.14
=84 https://tex.z-dn.net/?f=in%5E%7B2%7D%20
h(n) = 3n+ 5g(n)=n + 3Find (h - g)(n)
The given expression :
h(n) = 3n+ 5
g(n)=n + 3
We need to find : (h - g)(n)
Since (h - g)(n) can be express as :
(h - g)(n)= h(n) - g(n)
Substitute the value of h(n) and g(n)
(h - g)(n) = (3n+5) - (n+3)
(h - g)(n) = 3n + 5 - n - 3
(h - g)(n) = 3n - n + 5 - 3
(h - g)(n) = 2n + 2
(h - g)(n) = 2 (n + 1)
Answer : (h - g)(n) = 2 (n + 1)
Find the value of x. Write your answer in simplest form.
Answer:
\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)
Evaluate the limit, if it exists, or show that the limit does not exist. (a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3 (b) lim (x,y)→(0,0) 2xy x 2 + y 2
Answer:
Step-by-step explanation:
GIven that :
(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3
(b) lim (x,y)→(0,0) 2xy x 2 + y 2
We are to evaluate and determine if the limit exist or not.
From (a);
\(\lim \limits _{x \to y (0,0) } 5x + y \sqrt{5x} + y + 9 - 3\)
x = 0
y = 0 (Since no presence of indeterminate)
= \(} 5(0 )+ y \sqrt{5(0)} + (0) + 9 - 3\)
= 0+0+0 +9 - 3
= 6
Therefore; the limit exist
(b)
\(\lim \limits _{x \to y (0,0) } \dfrac{2xy}{x^2+y^2}\)
If y = mx
\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(mx)^2}\)
\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(m^2x^2)}\)
\(= \dfrac{2m }{1+m^2}\)
So; the limit depends on the value of m; then the limit does not exist
Describe the translation of figure ABCD. Complete the sentence to explain your answer. A coordinate plane showing figure A B C D and A prime B prime C prime D prime. The coordinates of the first figure are A 2 comma 3, B 1 comma 2, C 2 comma 1, and D 3 comma 2. The coordinates of the second figure are A prime 5 comma 4, B prime 4 comma 3, C prime 5 comma 2, and D prime 6 comma 3. Figure ABCD is translated unit(s) right and unit(s) up.
Figure ABCD is translated 3 units right and 1 unit up.
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
Based on the information provided, we have the follwoing:
(x, y) → (x + h, y + k)
A (2, 3) → A' (5, 4).
5 = 2 + h
h = 5 - 2
h = 3 (3 units right).
4 = 3 + k
k = 4 - 3
k = -3 (1 unit up).
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Complete Question:
Describe the translation of figure ABCD. Complete the sentence to explain your answer.
Figure ABCD is translated unit(s) right and unit(s) up.
Find the area of a circle with radius, r = 59cm.
Give your answer rounded to 3 SF.
Answer:
3481π or 10935.884
Step-by-step explanation:
Area = πr^2
Area = 3481π or 10935.884
A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
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Find the area of the figure
Answer:
236.6 Yd2
Step-by-step explanation:
just truce me
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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From 180 books to 150 books
What's the rest?You only said, From 180 books to 150 books sooo you gotta put the rest or nobody will answer it.
Lightening Energy Drink has 15.2 calories per fluid ounce. If Marlene consumes 253.84 calories of Lightening Energy Drinks, then how many ounces did she consume?
Divide total calories by calories per fluid ounce:
253.84 / 15.2 = 16.7 fluid ounces
what is the slope of the line -3y=12x+6
Answer:
Step-by-step explanation:
uhh