Answers
Answer:
here you go ;d
Step-by-step explanation:
Related Questions
find the inverse of the function f(x)=4(x+17)
Answers
Answer:
y=1/4x-17
Step-by-step explanation:
To find the inverse, switch x and y.
y=4(x+17)
x=4(y+17)
Solve for y.
x=4y+68
x-68=4y
y=1/4x- 17
What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute?
Answers
The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.
Given that the population mean, \(\mu\) = 90 wpm
The standard deviation of the population ,\(\sigma\) = 10
Sample size, n = 12
Sample mean, \(\bar x\) = 95
The reading rate of students follows the normal distribution.
Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)
= \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)
= 1.732
Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)
= P(z>1.732)
= 1- P(z<1.732)
= 0.4582
[The value 0.4582 found from the area under the normal curve using tables].
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Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a product is MC = 8x + 70 and the total cost of producing 30 units is $6000, find the cost of producing 40 units. .......... $
Answers
The correct answer is the cost of producing 40 units is $10,500, for the given Cost, revenue, and profit are in dollars and x is the number of units.The marginal cost for a product is MC = 8x + 70.
The total cost of producing 30 units is $6000.
According to the question,The marginal cost of the product is
MC = 8x + 70.
The total cost of producing 30 units is $6000.
The cost function is given as,
C(x) = ∫ MC dx + CWhere C is the constant of integration.
C(x) = ∫ (8x + 70) dx + C
∴ C(x) = 4x² + 70x + C
To find C, we need to use the total cost of producing 30 units.
C(30) = 6000∴ 4(30)² + 70(30) + C
= 6000∴ 3600 + 2100 + C
= 6000
∴ C = 1300
Hence, C(x) = 4x² + 70x + 1300
Now,let's find the cost of producing 40 units,
C(40) = 4(40)² + 70(40) + 1300
= 6400 + 2800 + 1300
= $10500
Therefore, the cost of producing 40 units is $10,500.
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Find the area of the following quadrilateral.
7 cm
8 cm
4 cm
Answers
Answer:
56
Step-by-step explanation:
40. Sixty-four teams have entered a slow pitch
baseball tournament. A team is eliminated
after one loss. How many games must be
played to determine a winner?
Answers
Answer:
Step-by-step explanation:
You are starting with 64 teams. The first round of games would a total of 32 games since each teams plays each other. There would be 32 winners.
The second round would start with 32 teams which would require 16 games and would result in 16 winning teams.
The third round would start with 16 teams which would require 8 games and would result in 8 winning teams.
The fourth round would start with 8 teams which would require 4 games and would result in 4 winning teams.
The fifth round would start with 4 teams which would require 2 games and would result in 2 winning teams.
The sixth and final round would start with 2 teams with just 1 game and 1 winning team.
So if the question was looking for the total number of games, the answer would be 32+16+8+4+2+1 = 63
If the question was looking for the number of games the winning team would have to play to win the tournament, the answer would be 6. The team would play 1 game in each round and must win every time.
When using substitution to solve this system of equations, what is the result of the first step?
x
=
6
y
+
3
x
+
2
y
=
5
A.
x
+
2
(
6
x
+
3
)
=
5
C.
6
y
+
3
+
2
y
=
5
B.
x
+
2
(
6
y
+
3
)
=
5
D.
6
x
+
3
+
2
x
=
5
Answers
Answer:
answer
Step-by-step explanation:
one of you answer this question
Juanita recorded 1 1/2 hours of a school musical concert. during editing, she deleted 1/3 of the recording. what was the length of the recording after editing was completed?
Answers
The final length of Juanita recording after editing was completed was 7/6
To solve this exercise, we have to state the equation using the information of the problem:
Information about the problem:
Recorded= 1 1/2 hDeleted= 1/3Final length= ?Transforming the mixed number to fraction, we get:
1 1/2 =
[(2*1) +1] /2
(2+1)/2
3/2
Calculating the final length of the recording, we have:
Final length = Recorded - deleted
Final length = 3/2 - 1/3
Final length = (9-2) / 6
Final length = 7/6
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Q1: The temperature outside dropped 13°F in 7 hours.
The final temperature was -2°F. What was the starting temperature?
Answers
Answer:
11
Step-by-step explanation:
To get the answer, we need to add 13 to -2.
First, we need to add 2 to -2 to get it to 0.
Now we add 11 to zero to get 11.
I don’t understand how to solve this.
Answers
The area of ΔAFD is 42 squared unit.
What is the area of a triangle?The area of a triangle is the amount of space that the triangle would occupy on a 2 dimensional plane.
Area of a triangle = 1/2 x base x height
To solve the given problem, let the height be resented by x and the base be represented by y. So that applying the trigonometric function to determine the values, we have;
i. Sin θ = opposite/ hypotenuse
Sin 30 = x/ 14
x = 14 x Sin 30
= 7
The height is 7 units.
ii. Cos θ = adjacent/ hypotenuse
Cos 30 = y/ 14
y = 14 x Cos 30
= 12
The base is 12 units.
Therefore, the area of triangle AFD can be determined by;
Area of ΔAFD = 1/2 x 12 x 7
= 42
The area of ΔAFD is 42 squared unit.
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A block hangs in equilibrium from a vertical spring. The equilibrium position sags by 6.00 cm when a second identical block is added. What is the oscillation frequency of the two-block system?
Answers
A block hangs in equilibrium from a vertical spring. The equilibrium position sags by 6.00 cm when adding a second identical block. The oscillation frequency of the two-block system is approximately 1.44 Hz.
To find the oscillation frequency of the two-block system, we can use Hooke's Law and the formula for the frequency of simple harmonic motion.
Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. Mathematically, it can be expressed as:
F = -kx
where F is the force applied by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
In the equilibrium position, the force exerted by the spring is balanced by the weight of the block(s), resulting in zero net force. Thus, we have:
mg = kx_eq
where m is the mass of one block, g is the acceleration due to gravity, and x_eq is the equilibrium displacement of the spring.
When a second identical block is added, the total mass becomes 2m. The equilibrium displacement increases to 2x_eq due to the additional weight. We are given that the equilibrium position sags by 6.00 cm, so we have:
2mg = k(2x_eq)
2mg = 4kx_eq
Dividing both sides by 2m, we get:
g = 2kx_eq / m
The angular frequency (ω) of the two-block system can be calculated using the formula:
ω = √(k / m)
The oscillation frequency (f) can be calculated as:
f = ω / (2π)
To find the oscillation frequency, we need to find k/m. From the equation above, we have:
k/m = (g / 2x_eq)
Substituting the given values, g = 9.8 m/s² and x_eq = 6.00 cm = 0.06 m:
k/m = (9.8 m/s²) / (2 * 0.06 m)
k/m = 81.67 N/m
Now, we can calculate the angular frequency and the oscillation frequency:
ω = √(81.67 N/m / m) = √(81.67 s⁻²) ≈ 9.04 rad/s
f = ω / (2π) ≈ 9.04 rad/s / (2π) ≈ 1.44 Hz
Therefore, the oscillation frequency of the two-block system is approximately 1.44 Hz.
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On a January day in Michigan, the low temperature was 5 degrees colder than 2℉ and the high temperature was 5 degrees warmer than 2℉.
Answers
Answer:
-3 was the low and the high temp. is 7
Step-by-step explanation:
HELP PLEASE!!
a swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, where H is the height in feet and d is the horizontal distance in feet. How far from the pier does the swimmer enters the water?
Answers
Answer: 5 ft
Step-by-step explanation:
Given
The path of the swimmer is given by
\(h=-0.1d^2+0.1d+3\)
The swimmer can go horizontally depends upon the depth
So, find the maximum depth by taking derivative w.r.t height
\(h'=-0.2d+0.1\)
Put derivative equal to 0
\(\Rightarrow -0.2d+1=0\\\\\Rightarrow d=\dfrac{1}{0.2}\\\\\Rightarrow d=5\ ft\)
thus, the swimmer can go up to a distance of 5 ft.
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answers
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studled: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Which of the following statements are true?
There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80
Answers
Answer:
The median of the group that did not study is less than 80
Step-by-step explanation:
The median of the group that did not study is 79.5
Find a number that is 45% greater than 90
Answers
Answer:
130.5Step-by-step explanation:
the number that is 45% greater than 90 is :
\(90+90\times \frac{45}{100} = 90 + 40.5 = 130.5\)
What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
Answers
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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Of 600 students sampled, 480 said they hoped to own a house someday. with 68% confidence, what is the approximate percentage of the students in the population who hope to own a house someday?
Answers
The approximate percentage of students who hope to own a house someday is between 78.4% and 81.6% calculated at a 68% confidence.
What is confidence level in statistics?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. At a chosen confidence level, a confidence interval is calculated.
From the given question, we can write
The proportion of students who hope to own a house p' = \(\frac{480}{600}\) = \(\frac{4}{5}\) = 0.8
The proportion of students who does not hope to own a house q' = 1-p'
= 1-0.8=0.2
Since the requested confidence level is CL = 0.68, then
\(\frac{\alpha }{2}\) = 0.68/2 = 0.32
\(z_{\frac{\alpha }{2} }\) = 0.92 ( From standard normal distribution table)
So, approximate percentage is
p' - \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ∠ p ∠ p' + \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ( n is the total population)
= 0.8 - 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\) ∠ p ∠ 0.8 + 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\)
= 0.784 ∠ p ∠ 0.816
Therefore the approximate percentage of students who hope to own a house someday calculated at a 68% confidence is between 78.4% and 81.6%.
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The graph of a line that passes through the points (0,-2) and (6,0). What is the equation of the line?
Answers
\(y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-(-2)}{6-0} = \frac{1}{3} \\-2 = \frac{1}{3}(0) + b\\ b = -2\\y = \frac{1}{3}(x) - 2\)
Which of the following is equivalent to: 7a - 8b = 10x 18xb A. a = 7 10x + 3b B. a = 7 10x -86 c. a 7
Answers
Answer:
ty for ur coins dood
Step-by-step explanation:
Answer:
20, 15 10x + he 27 uwdhkssh . 76 56!
your welcome!!! :)
Step-by-step explanation:
An angle's measure is 43 less than 6 times the measure of its
complement. Find the measure of both angles,
Answers
Step-by-step explanation:
A = 6(90-A)-43 Simplify and solve for A.
A = 540-6A-43
A = 497-6A Add 6A to both sides.
7A = 497 Divide both sides by 7.
A = 71 degrees
The complement of A = 90-A = 09-71 = 19
Hope this help :)
!!HELP ME PLEASE!!
Which describes the graph of y = (x + 6)2 + 1?
A. Vertex at (−6, 1)
B. Vertex at (6, −1)
C. Vertex at (−6, −1)
D. Vertex at (6, 1)
Answers
Answer:
answers
Step-by-step explanation:
A. Vertex at (−6, 1)
PICTURE INCLUDED PLEASE HELP
The bar representing which of the following probabilities on a histogram
would be the highest?
A.
1
10
B.
1
30
O
C.
1
15
O
26
Answers
The bar that represents the bar that would be the largest in a histogram would be 2/15.
How to identify the bar that would be largest in a histogram?To identify the bar that would be the largest in a histogram we must take each of the options and perform the division to obtain a decimal number. Once we have all the decimal numbers, we must identify which is the largest of them and thus we will know which one would represent a larger bar in a histogram. Here is the procedure:
1 / 10 = 0.11 / 15 = 0.061 / 30 = 0.032 / 15 = 0.13According to the above, the one that represents a larger bar would be 2 / 15 = 0.13
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Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answers
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
I'm doing a practice test and REALLY need help!!!
pls show working too thxxx
Answers
Answer:
66 (C)
Step-by-step explanation:
For the starting figure, you know that each block has a width of 10, and a height of 5 cm. If you are calculating the perimeter, then the only parts of the figure that matter are the outsides.
When we add a layer, we replace the perimeter along the bottom (with an equal length, so the perimeter is not changing along the base).
But we also add the length of added rectangles to the sides, and that is not replacing the perimeter already on the previous layer--it is increasing the perimeter by 10 cm (5 cm on both sides).
So, if we want to find the perimeter of figure 1, we can calculate the top (10 cm + 10 cm on top, 5 cm + 5 cm for the sides of the block on top, 5cm + 5 cm for the outsides of the lower layer, 10cm + 10cm for the bottom base) (60cm is the perimeter).
Each layer we add it adding 10cm. So, the perimeter of figure 2 is 60 + 10, or 70cm.
To find how many layers we have added to the figure n, we should first subtract the original 60 cm, so that we can find how much we have added. 710 - 60 = 650.
So, we have added 650 cm to the perimeter of our figure. We know that we are adding 10 cm at a time, so to find how many times we have had to add a layer, we need to divide 650 / 10 , to get 65. We have added a layer 65 times.
The first layer is +0 times, the second is +1, the third is +2, so the +65 is going to be the 66th layer, making the answer 66.
State if the triangles in each pair are similar. If so, state how you know they are similar. *
Answers
Answer:
no the triangles are not similar.
Step-by-step explanation:
find the missing length
Answers
Answer:
sqrt of 157 (this answer is not simplified)
Step-by-step explanation:
6^2 + 11^2
36+121 = 157
sqrt157=c
Answer:
a^2 + b^2 = c^2
6^2 + 11^2 =c^2
36 + 121 =c^2
c^2 = 157
c = √157
i need help immediately, im giving out twenty point for help
Answers
Answer:
250x +425y ≤ 5900the truck will be overloadedStep-by-step explanation:
You want an inequality relating the number of 250 lb refrigerators (x) and the number of 425 lb pianos (y) a truck with a 5900 lb load limit can carry. And you want to know if 12 refrigerators and 8 pianos will overload the truck.
LoadThe weight of x refrigerators will be 250x. The weight of y pianos will be 425y. Then the restriction on the total weight is ...
250x +425y ≤ 5900 . . . . . . the load limit of the truck
OverloadThe weight of 12 refrigerators and 8 pianos will be ...
250·12 +425·8 = 3000 +3400 = 6400 . . . . pounds
This weight will overload the truck.
__
Additional comment
The graph shows the point (12, 8) is not in the solution space of the inequality. Hence the truck will be overloaded with that load.
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what type of relationship is indicated in the scatterplot? a negative curvilinear relationship a positive linear or curvilinear relationship no relationship a negative linear relationship
Answers
The type of relationship indicated in the scatterplot is a negative curvilinear relationship.
A scatterplot is a type of graph that is used to display the relationship between two variables. In a scatterplot, the values of one variable are plotted on the x-axis and the values of the other variable are plotted on the y-axis. The relationship between the two variables can be determined by observing the pattern of the points in the scatterplot.
A negative curvilinear relationship is indicated when the points in the scatterplot form a curve that slopes downward. This means that as the values of one variable increase, the values of the other variable decrease, but not in a straight line. Instead, the relationship follows a curved pattern.
In contrast, a positive linear or curvilinear relationship is indicated when the points in the scatterplot form a curve that slopes upward, a negative linear relationship is indicated when the points in the scatterplot form a straight line that slopes downward, and no relationship is indicated when the points in the scatterplot do not form any discernible pattern.
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HELP ASAP WILL GIVE OUT BRAINLIEST!
Answers
Simplify the expression. 6+ 2 х 1 2 + A) 2 B) 5 6x + 2 2x+1 D) 6x2 + 2x 2x²+1
Answers
Option D
\(\frac{6x^2+2x}{2x^2+1}\)Explanations:The given expression is:
\(\frac{6+\frac{2}{x}}{2+\frac{1}{x^2}}\)Simplify the numerator:
\(\begin{gathered} 6\text{ + }\frac{2}{x} \\ \frac{6x+2}{x} \end{gathered}\)Simplify the denominator:
\(\begin{gathered} 2+\frac{1}{x^2} \\ \frac{2x^2+1}{x^2} \end{gathered}\)The complete expression becomes:
\(\frac{\frac{6x+2}{x}}{\frac{2x^2+1}{x^2}}\)\(\begin{gathered} \frac{6x+2}{x}\div\frac{2x^2+1}{x^2} \\ \frac{6x+2}{x}\text{ }\times\frac{x^2}{2x^2+1} \\ \frac{x(6x+2)}{2x^2+1} \\ \frac{6x^2+2x}{2x^2+1} \end{gathered}\)