Hence, 17-unit percent change is (45/19)×17% = 40.26%
12-unit percent change is (43/16)×12% = 32.25%
18-unit percent change is (-25/20)×18% = -22.5%
8-unit percent change is (-50/5)×8% = -80%
Given, that
The 19-unit percent change is 45 %
Now, 1-unit percent change is 45/19
17-unit percent change is (45/19)×17%
= 40.26%
The 16-unit percent change is 43 %
Now, 1-unit percent change is 43/16
12-unit percent change is (43/16)×12%
= 32.25%
The 20-unit percent change is -25%
Now, 1-unit percent change is -25/20
18-unit percent change is (-25/20)×18%
= -22.5%
The 5-unit percent change is -50 %
Now, 1-unit percent change is -50/5
8-unit percent change is (-50/5)×8%
= -80%
Hence, 17-unit percent change is (45/19)×17% = 40.26%
12-unit percent change is (43/16)×12% = 32.25%
18-unit percent change is (-25/20)×18% = -22.5%
8-unit percent change is (-50/5)×8% = -80%
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What is the length of the hypotenuse in 2 decimal places
1) What is the slope of the following graph?
Answer:[tex]\frac{3}{-2}[/tex]
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
start at (0,1)
go up 3 units
then go left 2 units
slope= [tex]\frac{3}{-2}[/tex]
A jar contains only pennies, nickels, dimes, and quarters. There are 26 pennies, 12 dimes, and 19 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n? of the coins are not nickels.
Answer:
57 coins are not nickels.
Equation: n + 57 = 70
Step-by-step explanation:
To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:
26 + 12 + 19 = 57 coins are not nickels.
The equation you could use to find n (nickels) would be:
n + 57 = 70
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Compute the the directional derivative Da(f) of f(x, y) = xy + x³ at the point (1, 2) and
in the direction of (1,-1).
which of the following quantitative research methods uses a relatively small group of people for testing and is most helpful in obtaining data that are representative of the whole population? a.) in-depth interviews b.) secondary data analysis c.) natural experiments d.) random sampling
In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.
Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.
An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.
Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.
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a subset of the whole population selected to be questioned for the purposes of prediction or gauging opinion is called
The sample is a subset of the whole population selected to be questioned for the purposes of prediction or gauging opinion .
A sample is a collection of people, things, or things used in research that is taken for analysis from a larger population. To enable us to extrapolate the research sample's findings to the entire population, the sample must be representative of the population.
We must utilize inferential statistics to discover a population's characteristics by directly observing only a subset (or sample of the population) in order to derive conclusions about populations from samples.
Since it is frequently impractical and hardly ever possible, we acquire a sample of the population.
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If y is directly proportional with x and y = 91 when x = 7 what is the value of y when x = 15
What is the constant of variation (k)?
What is the value of Y when X = 15?
pls help 30 points :)
The constant of variation is 13.
The value of y when x is 15 is 195.
What is direct variation?Direct variation is when two values move in the same direction. If one variable increases, the other variable increases.
The equation that represents direct variation is:
y = kx
Where:
y = dependent variable k = constant of variationx = independent variable91 = 7k
k = 91 / 7
k = 13
The value of y when x = 15
y = 13 x 15
y = 195
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A 145-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed. (Round your answer to the nearest foot.)
By apply the law of cosine, the shortest length of wire needed is 180 feet.
How to determine the shortest length of wire needed?In order to determine the shortest length of wire needed, we would apply the law of cosine because a mental image of the scenario described produces a right-angled triangle.
In Trigonometry, law of cosine (cos) is given by this mathematical expression:
C² = A² + D² - 2(A)(D)cosD
Note: Angle D = 90° + 32° = 122°
Substituting the given parameters into the formula, we have;
C² = 55² + 145² - 2(55)(145)cos122°
C² = 3,025 + 21,025 - 2(7,975)(-0.5299)
C² = 24,050 - (-8,451.905)
C² = 24,050 + 8,451.905
C² = 32,501.905
C = √32,501.905
C = 180.28 ≈ 180 feet.
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How many dogs could Roscoe groom if he worked for 40 hours?
90
120
220
200
There are 200 dogs Roscoe groom if he worked for 40 hours.
What is working time?
A person's working time is the time they are engaged in paid work. Personal housework, childcare, and pet care are examples of unpaid work that is not included in the definition of the working week.
In most cases, when someone inquires about your working hours, you should first provide the start time before providing the time you leave for home.
From the given graph we can see that for each three hours the number of dogs are increased by 15.
So, for each one hour the number of dogs increased by 5.
For 18 hours the the number of dogs are 90.
After 18 hours to complete 40 hours we need 22 hours.
So, for 22 hours the number of dogs are
22 x 5 = 110.
Therefore, the total number of dogs worked for 40 hours are,
90 + 110 = 220.
Hence, there are 200 dogs Roscoe groom if he worked for 40 hours.
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ASAP!! Brainliest to first answer
3x - 2/3x = 14
Answer:
x = 6
Step-by-step explanation:
Given equation,
→ 3x - (2/3)x = 14
Now the value of x will be,
→ 3x - (2/3)x = 14
→ (9/3)x - (2/3)x = 14
→ ((9 - 2)/3)x = 14
→ (7/3)x = 14
→ 7x = 14 × 3
→ x = 42/7
→ [ x = 6 ]
Hence, the value of x is 6.
What is the image point of (-8, 1) after the transformation 7x-axis R180°?
The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).
What is a rotation?A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).
For a dilation with a scale factor of 2, we have:
Point A (-8, 1) → (-8 × 2, 1 × 2) = Point A' = (-16, 2)
By applying a rotation of 180° to the given point, the coordinates of its image is given by:
(x, y) → (-x, -y)
Points A' = (-16, 2) → Points A' = (-(-16), -(1)) = (16, -1).
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Complete Question:
What is the image point of (-8, 1) after the transformation D₂ о R180°?
Can anyone write the equation of the graph?
The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.
The expression that can be used to find the temperature after it changes is 85°F + C
How to find a change in temperature?Temperature refers to the degree of hotness or coldness of a body at a particular time. It is measured in degree Celsius, degree Fahrenheit an Kelvin.
The instrument used to measure temperature is a thermometer.
Temperature on a summer afternoon = 85°FDecrease in temperature = -11°Flet
C = change in temperatureThe change in temperature = 85°F + C
= 85°F + (-11°F)
= 85 - 11
= 74°F
Therefore, the new temperature after a decrease in 11°F is 74°F
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when two pipes fill a pool together, they can finish in 4 hours. if one pipe fills half of the pool and then the other takes over and finishes filling the pool, the pool will fill in 9 hours. how long would it take each pipe to fill the pool if it were working alone?
Time taken by pipe 1 to fill the pool is 6 and by pipe 2 is 12.
Here we have to find the time taken by each pipe to fill the pool.
Formula to find the work:
w = r × t
where
w = is the work done
r = is the rate of work done
t = is the time taken to do the work
For pipe 1 working alone to fill 1 pool, the work done is 1
w1 = r1 t1
1 = r1 × t1
t1 = 1/r1
For pipe 2 working alone to fill 1 pool, the work done is 1;
w2 = r2 t2
1 = r2 × t2
t2 = 1/r2
From the question, it would take 9 hours if each pipe took turns filling half the pool. That is;
t1/2 + t2/2 = 9
t1 + t2 = 18
However, if both pipes worked together, it would take 4 hours for each pipe. That is;
w1 + w2 = w
r1t1 + r2t2 = 1
4r1 + 4r2 = 1
r1 + r2 = 1/4
As we know from the above:
r1 = 1/t1 and r2 = 1/t2
So;
1/t1 + 1/t2 = 1/4
(t2 + t1)/ t1 t2 = 1/4
t1 + t2 = 18
So
t1 t2 = 72
The only factors of 72 that satisfy the conditions
t1 + t2 = 18
t1 . t2 = 72
are 6 and 12.
Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours.
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you can answer any 17 questions from a total of 20 questions on an exam. in how many different ways can you select the questions?
With the help of probability we can say that there are 1140 ways.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .acc to our question-
permutation= 20!/ (20-17)!ncr= 20!/ 17!(20-17)!=1140Hence,we can say that there are 1140 ways.
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Can someone please help !
[tex]\huge\begin{array}{ccc}BT=21\\DC=10.2\end{array}[/tex]
If BT is the midsegment of ΔMAH and DC is the midsegment of ΔBTH, then MA, BT and DC are parallel.
Therefore the segments form the proportion:
[tex]\dfrac{HM}{MA}=\dfrac{HB}{BT}=\dfrac{HD}{DC}[/tex]
BT is the midsegment of ΔMAH, therefore
[tex]HB=\dfrac{1}{2}HM[/tex]
DC is the midsegment of ΔBTH, therefore
[tex]HD=\dfrac{1}{2}HB=\dfrac{1}{2}\cdot\dfrac{1}{2}HM=\dfrac{1}{4}HM[/tex]
Substitute:[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{2}HM}{BT}[/tex]
cross multiply
[tex]HM\cdot BT=42\cdot\dfrac{1}{2}HM[/tex]
divide both sides by HM
[tex]\boxed{BT=21}[/tex]
[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{4}HM}{DC}[/tex]
cross multiply
[tex]HM\cdot DC=42\cdot\dfrac{1}{4}HM[/tex]
divide both sides by HM
[tex]\boxed{DC=10.5}[/tex]
Four different linear functions are shown below. Drag the representation of each function in order from greatest y intercept ti least y intercept
Order of greatest y intercept to least y intercept,
1). A linear function has been given as,
y = [tex]\frac{1}{2}[/tex]x + 4
Y intercept = 4
2). The graph,
Y intercept = (2)
3). Graph represented by table
Y intercept = 1
4). A line passes through two points (-2, -3) and (4, 0)
Y intercept = -2
What is Y- intercept?
It is the total distance from the origin and the intersection of y axis and the formed line. It may be positive, negative or zero.
From the graph,
y-intercept = (2)
A line passes through two points (-2, -3) and (4, 0),
Slope of the line = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
= [tex]\frac{0-(-3)}{4-(-2)}[/tex]
= 1/2
Equation of a line passing through a point (x', y') and slope = m
y - y' = m(x - x')
If the point is (4, 0) and slope = 1/2
y - 0 = 1/2 ( x - 4 )
y = 1/2x - 2
y-intercept of this line = (-2)
A linear function has been given as,
y = [tex]\frac{1}{2}[/tex]x + 4
Comparing it with the slope intercept equation,
y = mx + b
b = y-intercept = 4
From the given table,
For x = 0, f(x) = 1
Therefore, y-intercept = 1
Order of greatest y intercept to least y intercept,
1). A linear function has been given as,
y = [tex]\frac{1}{2}[/tex]x + 4
Y intercept = 4
2). The graph,
Y intercept = (2)
3). Graph represented by table
Y intercept = 1
4). A line passes through two points (-2, -3) and (4, 0)
Y intercept = -2
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Expand and simplify (3x + 4)(2x + 3)
Answer:
6x^2+17x+12
Step-by-step explanation:
(3x+4) * (2x+3)
3x * 2x = 6x^2
3x * 3 = 9x
+4 * 2x = +8x
+4 * +3 = +12
6x^2+ 9x+8x +12
Simplify:
6x^2+17x+12
f(x) = x +4
g(x) = 3x
What is the value of fg(7)?
Answer: 105 (altough im not entirely sure sry...)
Step-by-step explanation:
I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)
This is quite difficult so you this may not be correct
I hope
a statistical quality control process for cereal production measures the weight of a cereal box. the population standard deviation is known to be .06 ounces. in order to achieve a 97% confidence with a margin of error of .02 ounces, how large a sample should be used?
The sample size that should be used is 43.
Given that;
The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.
By considering the confidence level scenario, we get to solve how large a sample should be utilized.
The significance level is (α) = 0.03 ( 97% confidence level )
The critical value is (z*) = 2.17 ( From z-table )
The population standard deviation (σ) = 0.06
The margin of error (E) = 0.02
Therefore, the required sample size is;
n = [(z* × σ)/E ]²
n = 42.383
n ≅ 43
Finally, the sample size that should be used is 43.
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a fence is to be built to enclose a rectangular area of 310 square feet. the fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 14 dollars per foot. find the dimensions of the enclosure that is most economical to construct.
The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
A=l*b
=310
b=310/l
total cost=(8b+4l+16l)
=8b+20l
=8*310/l+20l
t=2480/l+20l
t'=20-2480/l²
t'=0
20l²=2480
l²=124
l=11.13 feet
b=310/11.13
b=27.85 feet
The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.
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What number should go in the empty boxes to complete the calculation for finding the product of
To do the multiplication, we multiply 0.63 by each of the digits & decimal places of 0.24 (and align the products that we get) then add them together.
0.63 x 4 = 2.52, therefore the first missing spot is a 2.
0.63 x 2 = 1.26, therefore the second missing spot is a 2 (the 0 is so that the decimal point can be aligned for the result.)
Answer: Box 1: 2 Box 2: 2
Step-by-step explanation:
So, for box one it would be 2 because 3 x 4 = 12, put the 2 on the bottom and the 1 on the 6, then 6 x 4 + 1 = 25, then put the 5 on the bottom and the 2 on the top, then 4 x 0 + 2 = 2, so the answer would be 2.
For box 2, 252 + 1?60 = 0.1512, so we have to find the missing number. So, 2 + 0 = 2, so put the two on the bottom, then 5 + 6 = 11, so put the 1 on the bottom and the other 1 on the 2 from the first box, so 2 + 1 = 3, plus 2 more would equal 5, so the second box would be 2.
Hope this helps!
There are 5 consecutive even integers with a sum of –80. What is the greatest of these integers?
The greatest even integers that the 5 consecutive number has a sum of - 80 is - 12.
How to find the greatest even integers?Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.
Therefore, even integers are integers that are even.
There are 5 consecutive even integers with a sum of –80.
let
x = first integers
Therefore,
x + x + 2 + x + 4 + x + 6 + x + 8 = - 80
5x + 20 = - 80
5x = -80 - 20
5x = - 100
divide both sides by 5
x = - 100 / 5
x = -20
Therefore,
greatest integer = - 20 + 8 = - 12
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the faa now figures the average checked bag to weigh 30 pounds. this is up from a previous figure of 26 pounds. find the amount of increase and the percent of increase, to the nearest whole percent.
The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.
How to find the percent of change?A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.
The percent of change would be the ratio of the amount of change to first number times 100.
Given the first figure of bag is 26 pounds and the last figure is 30 pounds.
What is the amount of increase?What is the percent of increase?The amount of increase is subtracting 26 from 30.
30 - 26 = 4 pounds.
The percent of increase is
[tex]= \frac{4}{30} \times 100[/tex] %
[tex]= 0.1333 \times 100[/tex] %
[tex]= 13.33[/tex] %
Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.
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What is the range of the following function
The range of the given function is y ≥ 0 which is option B.
From the graph:
Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)
Range is defined as the set of y values or outputs.
range = 0,1,2,3 ......
Means range starts from zero to infinite(0 to all positive values.
so range = y ≥ 0
Therefore range of the given function is y ≥ 0 which is option B.
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Y+2=1/4 x in standard form
Answer:
-[tex]\frac{1}{4}x[/tex] + y = -2
Step-by-step explanation:
Standard form: Ax + By = C
y + 2 = [tex]\frac{1}{4} x[/tex]
Rearrange terms:
1. Subtract 2 from both sides
y = [tex]\frac{1}{4} x[/tex] - 2
2. Subtract [tex]\frac{1}{4} x[/tex] from both sides
-[tex]\frac{1}{4}x[/tex] + y = -2
how do i work this out please?
By evaluating the linear equation we will see that:
A = -3
B = 4
And the correct line is the purple one.
How to get the values of A and B?We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12
To find the value of A, we can replace the values of the point on the line, so we get:
3*0 - 4*A = 12
-4*A = 12
A = 12/-4 = -3
A = -3
To get the value of B we do the same thing.
3*B - 4*0 = 12
B = 12/3
B = 4
So the points are (0, -3) and (4, 0).
Then the correct line is the purple one.
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Find the measure of the exterior angle.
The measure of the exterior angle as shown in the triangle is 140°.
What is exterior angle?
Exterior angle is the angle between a side of a polygon and an extended adjacent side.
Exterior angle theorem: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
From the diagram below, applying the theorem above,
k = 64+76k = 140°Hence, the exterior angle is 140°.
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HELP ME PLEASE.
f(x) = √2x
g(x) = √50x
Find (f g)(x). Assume x ≥ 0.
A. (f.g)(x) = 10√
B. (f.g)(x) = √52x
C. (f.g)(x) = 10x
D. (f g)(x) = 50x
The representation of the composite function (fg)(x) is (fg)(x) = 10x
How to determine the possible value of the composite function?From the question, we have the following function definitions
f(x) = √2x
g(x) = √50x
The function to calculate is given as (fg)x
This can be calculated using
(fg)(x) = f(x) * g(x)
Substitute √2x for f(x) and √50x for g(x) in the above equation
So, we have
(fg)(x) = √2x * √50x
Evaluate the products
(fg)(x) = √100x²
Evaluate the exponents
(fg)(x) = 10x
Hence, the possible equation is (fg)(x) = 10x
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What is the constant of variation, k of the direct variation, y=kx,through (5,8)
Constant of variation, k of the direct variation is 8/5.
Equation -> y = kx
Point (x,y) = (5,8)
Putting the value in the equation,
8 = 5k
k = 8/5
Hence, k = 8/5.
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