Answers
Answer:
x=100
Step-by-step explanation:
x+23+57=180
x+80=180
x=100
Related Questions
Describe the transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4
A:The graph is vertically stretched by a factor of 1/3 and shifts up 4 units.
B:The graph is vertically stretched by a factor of 1/3 and shifts down 4 units.
C:The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
D:The graph is horizontally compressed by a factor of 1/3 and shifts down 4 units.
Answers
The transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4 will be C. The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
How to explain the transformationThe parent function f(x) = sin(x) has been transformed by replacing x with 3x in the argument of the sine function.
This results in a horizontal compression of the graph by a factor of 1/3. In addition, the graph of g(x) = sin(3x) is shifted upward 4 units, as indicated by the subtraction of 4 from the value of the sine function.
The correct option is C.
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A child stands at the foot of a tall slide and throws a ball toward the top of the slide. The foot of
the slide is located at the origin; the shape of the slide is modeled by the equation y = 2x; the
path of the ball through the air is modeled by y *? + 5x, where x is the horizontal distance
traveled by the ball and y is the height of the ball (both distances in feet). When the ball hits the
slide, how many feet off the ground will it be?
Your answer
Answers
Answer: 6, 6 feet
Step-by-step explanation:
For each pair of functions f, g below, find f(g(x)) and g(f(x))
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
Answers
Answer:
See below
Step-by-step explanation:
Part A
\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)
Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other
Part B
\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)
Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other
if m2=39 and m3=30 what is m1
Answers
Answer:
m1 = 48
Step-by-step explanation:
this s a sequence of -9
it could only be + square by 3 if shown in question initially as squared m^2 so we cna presume the answer is m = - 9 m1 = 48
Answer:
i cant post the official answer because its "not school related" so i'll post it again :)
Step-by-step explanation:
add 51+18 and you have your answer enjoy :D
What is the spread of Cassandra’s grades?
The box plot shows Cassandra’s grades in science this year. Use the box plot to answer the following question:
Answers
Answer:i THINK 79, i dont know fully, but i think 79
here is a cute dog to make your day :D
Consider the following data on x = rainfall volume (m^3) and y = runoff volume (m^3) for a particular location.
x 4 12 14 20 23 30 40 48 55 67 72 85 96 112 127
y 4 10 13 15 15 25 27 44 38 46 53 71 82 99 101
Required:
Calculate a 95% confidence interval for the true average change in runoff volume associated with a 1m^3 increase in rainfall volume. (Round your answers to three decimal places.)
Answers
Answer:
Step-by-step explanation:
From the given information:
x y xy x² y²
4 4 16 16 16
12 10 120 144 100
14 13 182 196 169
20 15 300 400 225
23 15 345 529 225
30 25 750 900 625
40 27 1080 1600 729
48 44 2112 2304 1936
55 38 2090 3025 1444
67 46 3082 4489 2116
72 53 3816 5184 2809
85 71 6035 7225 5041
96 82 7872 9216 6724
112 99 11088 12544 9801
127 101 12827 16129 10201
\(\sum _{xi} = 805\) \(\sum_{yi} = 643\) \(\sum_{x_iy_I}= 51715\) \(\sum_{x_i^2}= 63901\) \(\sum_{y_i^2} = 42161\)
The least-square regression equation is: \(\hat y = b_o+b_1 x\)
\(b_1 = \dfrac{n \sum xy - ( \sum _x) ( \sum_y)}{n \sum x^2 - ( \sum x)^2}\)
\(b_1 = \dfrac{15(51715) - (803) (643)}{15(63901)-(805)^2}\)
\(b_1 = \dfrac{775725-516329}{958515-648025}\)
\(b_1 = \dfrac{259396}{310490}\)
b₁ = 0.835440
∴ Slope term, b₁ = 0.835
\(SS_{XX} = \sum x^2 - \dfrac{(\sum x)^2}{n}= 63901 - \dfrac{(805)^2}{15}=20699.33\)
\(SS_{yy} = \sum y^2 - \dfrac{(\sum y)^2}{n }= 42161 - \dfrac{(643)^2}{15}= 14597.73\)
\(SS_{xy} = \sum xy - \dfrac{(\sum x) (\sum y)}{n}= 51715 - \dfrac{(803)(643)}{15}= 17293.067\)
\(SST = SS_{yy}= 14597.73\)
\(SSR = \dfrac{SS_{xy}^2}{SS_{xx}}= \dfrac{17293.067^2}{20699.33}=14447.34\)
SSE = SST - SSR = 14597.73 - 14447.34 = 150.39
The hypothesis test for the significance of \(\beta_1\) is:
\(H_o: \beta_1 = 0 \\ \\ H_1: \beta_1 \ne 0\)
Significance level ∝ = 1 - 0.95 = 0.05
The sample slope \(b_1\) = 0.835440
\(Test \ statistic = t_{observed} = \dfrac{b_1-0}{\sqrt{\dfrac{SSE}{(n-2)SS_{xx}}}}\)
\(t_{o} = \dfrac{0.835440-0}{\sqrt{\dfrac{150.39}{(15-2)20699.33}}}\)
\(t_{o} = \dfrac{0.835440}{\sqrt{\dfrac{150.39}{269091.29}}}\)
\(t_o = 35.339\)
Degree of freedom df = n - 2
df = 15 -2
df = 13
Using the Excel formula to determine the P_value.
\(P-value = P(t, \Big|35.339 \Big|)\)
P-value = 2 × t.dist(35.339,13,1)
P-value = 0.0000
P-value = 0
Critical value: \(t_{critical} = t_{\alpha/2,df} = t_{0.05/2,13}= 2.160\)
Rejection region: To reject \(H_o\); if \(\Big | t_o \Big | > t_c\)
Decision: Since \(\Big | t_o \Big | > t_c\); we reject \(H_o\)
Conclusion: There is enough evidence to conclude that the linear relationship between x & y
Thus; we reject \(H_o\) & there is a useful linear relationship between x & y.
The 95% C.I for slope is given by the equation:
\(=b_1 \pm t_{(\alpha/2,n-2)} \sqrt{\dfrac{SSE}{n-2}}\sqrt{\dfrac{1}{SS_{xx}} }\)
\(=0.835440 \pm 2.160 \sqrt{\dfrac{150.39}{15-2}}\sqrt{\dfrac{1}{20699.33} }\)
= 0.835440 ± 2.160 (3.40124)(0.006951)
= 0.835440 ± 0.0511
= (0.835440 - 0.0511, 0.835440 + 0.0511)
= (0.78434, 0.88654)
= (0.784, 0.887) to three decimal places.
∴ 95% C.I of slope = \(\mathbf{( 0.784 < \beta_1 < 0.887) \ to \ 3 \ d.p}\)
Malick is forming clay blocks in the shape of rectangular prisms.
Two faces of the blocks are squares.
First, find the missing length of the clay block. Then, find the volume.
Answers
The missing length is 4 in.
The volume of a rectangular prism is 32 in³.
We have,
Since the two faces of the blocks are squares.
The face that has the missing length can be considered as a square face.
i.e
The front and back faces are squares.
So,
The missing length is 4 in.
Now,
The volume of a rectangular prism.
= length x width x height
= 4 x 2 x 4
= 32 in³
Thus,
The missing length is 4 in.
The volume of a rectangular prism is 32 in³.
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The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
the slope is 1.75
Step-by-step explanation:
Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight. For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb
what is the slope intercept form of 4x+y=-3
Answers
Answer:
Step-by-step explanation:
-4x-3=y
here are four questions A) 2/5 B) 2/3 C) 1/4 D) 1/10 put them in order
Answers
Answer:
1/10, 1/4, 2/5, 2/3.
Step-by-step explanation:
Convert the fractions into decimals.
2/5 = 0.4
2/3 ≈ 0.66666
1/4 = 0.25
1/10 = 0.1
Arrange from smallest to largest.
0.1, 0.25, 0.4, 0.6666
Change back to fraction form.
1/10, 1/4, 2/5, 2/3.
Answer:
A) 2/5 = 0.4
B) 2/3 = 0.67
C) 1/4 = 0.25
D) 1/10 = 0.1
From smallest to largest:
1/10 => 1/4 => 2/5 => 2/3
From Largest to smallest:
2/3 => 2/5 => 1/4 => 1/10
There are 60 children in a club.
In the club, the ratio of the number of girls to the number of boys is 3:1
3/5 of the girls play a musical instrument.
4/5 of the boys play a musical instrument.
What fraction of the 60 children play a musical instrument?
(4 marks)
Answers
Can someone help me with this-
Answers
we can take the recipricol
so
(6/7)x2
=12/7
hope this helps :DDDD
brainliest plsss
Answer:
=6/7*2/1
=12/7
=1.85... is your answer. Thanks.
33 is 6% of what? Please explain how to solve.
Answers
Answer:
550
Step-by-step explanation:
I use a proportion
33 6
--- = ----
x 100
100/6 = 16.6666666666 x 33 =
549.99999999997 or 550
Answer:
33 is 6 percent of 550.
Explanation:
6 percent of 550 is 33 because 100 percent of 550 is 550.
I hope this is correct, and im sorry if it isnt. I tried my best :D
−3 ⋅(−6)
pls help :)
Answers
Answer:
18
Step-by-step explanation:
If you multiply negative numbers together they will cancel out and become positive. So -3 x (-6) is 18.
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. Area: 16 square feet
Answers
Answer:
length = 8 width = 2
Step-by-step explanation:
8 X 2 = 16
The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Answers
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:
\(5^2 + 10^2 = c^2\)
Now we get the squares of 5 and 10:
\(25 + 100 = c^2\)
Add 25 and 100:
\(125 = c^2\)
Take the square root from both sides:
\(11.18033... = c\)
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
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Match each data set with its range.
Answers
The range of the data set are
{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6
{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.6
{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26
The first data set is
{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}
The range is the difference between the highest value and the smallest value
The highest value = 33.4
Lowest value = 3.8
The range = 33.4 - 3.8
= 29.6
The second data set is
{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}
The highest value = 0.71
Lowest value = 0.11
The range = 0.71 - 0.11
= 0.6
The third data set is
{6, 2, 14, 11, 28, 10, 19, 15, 11}
Highest value = 28
Lowest value = 2
The range = 28 - 2
= 26
Therefore, the range of the each data set has been found
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itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.
Answers
All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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Math 7th grade. help please!!!
Answers
Answer:
1 .angle S is 90 degree
2. 12
3. 155 degree
1. x = 3
hope it helps .....
Hey guys! Does anyone know the answer to this god bless
Answers
Which of these are functions and which aren't?
Answers
Answer: the only function I see is 6
Step-by-step explanation:
Vinces office recycled a total of 28 kilograms of paper over 4 weeks. After 14 weeks, how many kilograms of paper will vinces office have recycled? Assume the relationship is directly proportional.
Answers
Vince's office recycled a total of 28 kilograms of paper over 4 weeks.
For one week he recycled
\(\frac{28}{4}=7\: kg\)So, Vince's office recycled 7 kg of paper over 1 week.
To find the amount of recycled paper after 14 weeks, multiply it with the unit rate.
\(7\times14=84\: kg\)Therefore, VInces office has 84 kg of paper recycled.
if m = 2n² then what is m²?show me step by step
Answers
Answer:
\(m^2=4n^4\)Explanation:
Given that;
\(m=2n^2\)We want to find m^2
\(\begin{gathered} m^2=m\times m \\ since; \\ m=2n^2 \\ substituting,\text{ we have;} \\ m^2=2n^2\times2n^2 \\ m^2=4n^2\times n^2 \\ m^2=4n^4 \end{gathered}\)Therefore;
\(m^2=4n^4\)Explain the five properties of multiplication.
Answers
5. What is the measure of X?
Answers
Plsss help due today!!
The writer’s guild only gives a lifetime achievement award out every 5 years and was curious to see how the population in Europe felt about their process.
They decided to conduct an opinion survey by selecting a random sample of 500 Europeans who made book purchases online in 2022. They emailed the survey to all 500 randomly selected online shoppers and received 127 responses.
9) Describe the population of interest.,
10) Describe the sample.
11) Give an example of a parameter they might be interested in calculating from the survey.
12) Give an example of a statistic they might report based on the parameter you gave above.
Answers
Answer:
The population of interest is all Europeans who make book purchases online in 2022.The sample is the randomly selected 500 Europeans who make book purchases online in 2022, to whom the survey was emailed, and the 127 who responded to the survey.A parameter they might be interested in calculating from the survey is the proportion of all Europeans who make book purchases online in 2022 who support the writer’s guild's process of giving a lifetime achievement award out every 5 years.A statistic they might report based on the parameter above is the proportion of the 127 respondents who support the writer’s guild's process of giving a lifetime achievement award out every 5 years, and an estimate of the proportion of all Europeans who make book purchases online in 2022 who support this process, based on the sample data.A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answers
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
Evaluate 8 - 12 divided by 2 + 3
Answers
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{ - 4}{5} }}}}}\)
Step-by-step explanation:
\( \sf{ \frac{8 - 12}{2 + 3} }\)
Subtract 12 from 8
\( \dashrightarrow{ \sf{ \frac{ - 4}{2 + 3} }}\)
Add the numbers : 2 and 3
\( \dashrightarrow{ \sf{ \frac{ - 4}{5} }}\)
Hope I helped!
Best regards! :D
if f(x) = 5x-7, then what is the solution to f(x) =4
Answers
The input value x when the output value f( x ) = 4 in the function f( x ) = 5x - 7 is 11/5.
What is the value of x when the output value f(x) = 4?A function is simply a relationship that maps one input to one output, each x-value can only have one y-value.
Given the data in the question;
f( x ) = 5x - 7f(x) = 4x = ?To determine the input value x when the output value f( x ) = 4, replace f( x ) by 4 in the function and solve for x.
f( x ) = 5x - 7
4 = 5x - 7
Collect like terms
4 + 7 = 5x
5x = 11
Divide both sides by 5
5x/5 = 11/5
x = 11/5
Therefore, the input value x is 11/5, this forms an ordered pair of ( 11/5, 4 ).
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If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%
Answers
Answer:
3.6% or B quack quack quack quack
The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the labor force is 740 workers, but 27 are unemployed.
Here, percentage = 27/740 ×100
= 2700/740
= 3.6%
Therefore, option B is the correct answer.
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