1) The graph of function g is graph W because it is result of a vertivcal compression applied to graph f.
2) The graph of function g is graph X because it is result of a horizontal shift applied to graph f.
3) The graph of function g is graph Y because it is result of a reflection over y-axis applied to graph f.
4) The graph of function g is graph Z because it is result of a horizontal compression applied to graph f.
Here, a transformation applied to function f where f(x) = (1/2)^x
Consider graph W. We can observe that when the the graph of f(x) is compressed vertically then it will results in the graph of g(x)
Consider graph X. We can observe that if the the graph of f(x) is shifted horizontally right by 2 units then it will results in the graph of g(x)
Consider graph Y. We can observe that the the graph of g(x) is nothing but the reflection of f(x) over x-axis.
Consider graph Z. We can observe that when the the graph of f(x) is compressed horizontally then it will results in the graph of g(x)
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can anyone help me get the surface area of
2cm
5cm
8cm
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.
The table shows the results of a survey of 100 people selected at random
at an airport. Find the experimental probability that a person selected at
random is going to City C.
The experimetal probability that a person selected at random is going to city C is
Answer:
\(\frac{4}{25}\)
Step-by-step explanation:
22/200 simpilfy is 4/25
The experimental probability that a person selected at random is going to city C is P ( C ) = 4/25 = 0.16
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the experimental probability that a person selected at random is going to city C is P ( C )
Now , the total number of people in the city = 100
The number of people going to city C = 16
So , P ( C ) = number of people going to city C / total number of people in the city
On simplifying , we get
P ( C ) = 16 / 100
P ( C ) = 4/25
P ( C ) = 0.16
Hence , the probability is 0.16
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PLEASE HELP ASAP
(Perimeter and Area on the Coordinate Plane MC) Which of the following is the fourth vertex needed to create a rectangle with vertices located at (–5, 3), (–5, –7), and (5, –7)? (5, –3) (5, 3) (–5, 7) (–5, –3)
Step-by-step explanation:
To create a rectangle with vertices located at (-5, 3), (-5, -7), and (5, -7), we need to find the fourth vertex that completes the rectangle. Since opposite sides of a rectangle are parallel and congruent, we can determine the missing vertex by finding the midpoint of either of the two given sides and then moving in the direction perpendicular to that side by the length of the other side.
The given sides are:
Side 1: (-5, 3) to (-5, -7), which has length 3 - (-7) = 10
Side 2: (-5, -7) to (5, -7), which has length 5 - (-5) = 10
Since the sides are congruent, we can find the midpoint of Side 1 as:
Midpoint of Side 1 = [(-5 + (-5))/2, (3 + (-7))/2] = [-5, -2]
To find the missing vertex, we need to move from (-5, -2) in the direction perpendicular to Side 1 by a distance of 10 units (the length of Side 2). Since Side 2 is horizontal, we need to move vertically. We can do this by adding or subtracting 10 from the y-coordinate of the midpoint of Side 1, depending on whether we want to move up or down. In this case, we want to move down, so we subtract 10:
Missing vertex = [-5, -2 - 10] = [-5, -12]
Therefore, the fourth vertex needed to create a rectangle with vertices located at (-5, 3), (-5, -7), and (5, -7) is (-5, -12).
Pleeeeaase help me!! ;-;
what is the vertex of
f(x)= |x - 3| + 2
A. (2, 3)
B. (3, 2)
C. (2, -3)
D. (5, 5)
B . (3,2)
Step-by-step explanation:
I'm unsure of how to explain it but it is B :) have a good day !
The owner of A Ranch wants to fence in an area of 500000 square feet in a rectangular field and then divide it in half with a
fence down the middle, parallel to one side.
What is the shortest length of fence that the Ranch owner can use?
Length of fence =
feet.
In linear equation, 3464.1016 feet is the shortest length of fence that the Ranch owner can use.
What is linear equation definition and example?
An equation in which there is only one variable is known as a linear equation in one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.Let L represent the length of the field.
Let W represent the width of the field.
Let F represent the length of fence needed.
L*W=500000
2L+3W=F Both length sides+both width sides+ fence across the width.
Let's look at the first equation again:
L*W=500000
W=(500000/L)
Now we can substitute (500000/L) for W in the second equation.
2L+3(500000/L)=F
2L+1500000/L=F
Now we have a function. We can input any length, and we'll know length needed. But how can we find the length needed so that F is as small as it can be? If you know derivatives, there's an exact way. The next easiest way to do it is to graph.
Manner 1: Derivative
Set the derivative to zero...when the length stops going down and starts coming back up, it'll be at it's lowest point.
2L+1500000^-1=F
F'=2-1500000^-2
0=2-1500000^-2
1500000/(L^2)=2
1500000=2L^2
1500000=L^2
L=866.025
Now, we know that L=500000/W
so 866.025=500000/W
W=500000/866.025
W=577.35027 feet.
Now,
2L+3W=2(866.025)+3(577.35027)
Minimum fencing needed: 3464.1016 feet.
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2. AB = 3x + 2
AD = x +39
Answer:
x=18.5
u gotta do 3x+2=x+49
combine the like terms and it becomes 2x=37 then divide by 2 u get 18.5
plug it in as x and check if it's right
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation:
Please help ASAP! What is the Value of X?
Answer:
4x+7=5x-207+20=5x-4xx=27°hope it helps.
What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?
Answer:
5:4
Step-by-step explanation:
10/2:8/2= 5:4
let me see mathematics genius help me answer this question.
Step-by-step explanation: Answer is
(i). 19% or 14/75
(ii) 28% or 7/25
We are asked to find multiple probabilities.
We got to find the number of combinations posible,
Use the combinations formula
\(c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial} \)
For math this is read as,
if n choose r,( r+n-1)!/r!(n-1)!.
Where r is how many things we need from and n is the number of things we choose from.
We need 2 things and we have 24 objects to pick from.
So r=2 N equal=24
Which equal
25!/2!(23)!
Which equals
\(300\)
So there are 300 possible combinations.
Using
For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.
\(14 \times 4 = 56\)
So this means the probability is
\( \frac{56}{300} = \frac{14}{75} \)
Which is 19%
For the 2nd question, the can multiply the number of minor articles by major articles.
\(6 \times 4 = 24\)
So the probability
is
\( \frac{24}{300} = \frac{8}{100} = \frac{2}{25} \)
Which is equal to 8%
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
Which one is the correct choice?
Answer:
there's no picture to look at the choices
Step-by-step explanation:
sorry I would help
NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.Two cities,a and are mapped on the coordinate plane. How far apart are they from each other?
Answer:
\(\sqrt{97} \\ \sqrt{9^{2}+4^{2} }\)
Step-by-step explanation:
S= hp + 2B.
h = height
p = perimeter of base
b = area of base
Solve for h and b
The equation solved for the variable are;
h = S- 2B/p
b = S - hp/2
How to determine the equationsTo determine the equation, we need to know that the subject of formula for an equation is described as the variable that is made to stand on one end of the equality sign.
It is the variable that is being worked out.
From the information given, we have that;
S= hp + 2B.
To make the height with the variable 'h' the subject, we have;
collect the terms
hp = S - 2B
Divide by the coefficient
h = S- 2B/p
For b, we have;
S - hp = 2b
divide by the coefficient
b = S - hp/2
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Prove that the bisectors of two supplementary angles are perpendicular to each other.
the bisectors of two supplementary angles are perpendicular to each other is proved along with the given diagram.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
from the given diagram we get,
∠BOP=x & ∠AOP=180-x
and, ∠NOP=x/2 & ∠MOP=(90-x/2)
Now,
∠MON=∠MOP+∠NOP
=90-x/2 + x/2
=90
Hence, it is proved that the bisectors of two supplementary angles are perpendicular to each other.
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The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
Given rhombus QRST, find the
perimeter if QU = 3 and RU equals 4.
Q
R
T
U
X
S
The perimeter of the rhombus in this problem is given as follows:
19.8 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The diagonal length can be obtained as follows:
QU = US = 3.RU = UT = 4.RU + UT = 7.
Applying the Pythagorean Theorem, the side length is obtained as follows:
x² + x² = 7²
2x² = 49
\(x = \sqrt{\frac{49}{2}}\)
x = 4.95.
Then the perimeter is given as follows:
P = 4 x 4.95
P = 19.8 units.
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Find all solutions and write the answer in a general form. 6 sec2(x) − 6 = 0
Answer:
x = pi n
Step-by-step explanation:
6 sec^2(x) − 6 = 0
Add 6 to each side
6 sec^2(x) − 6+6 = 0+6
6 sec^2(x)=6
Divide by 6
sec^2(x) = 1
Take the square root of each side
sqrt( sec^2(x) ) = ±sqrt(1)
sec(x) =± 1
sec (x) = 1 sec(x) = -1
Take the inverse sec of each side
sec^-1(sec (x)) = sec^-1(1) sec^-1(sec (x)) = sec^-1(-1)
x = 2 pi n x = pi + 2 pi n where n is an integer
Combining
x = pi n
1. find the measure of each angle
Step-by-step explanation:
adding both equations together makes the straight line that is QRS. straight lines are 180
you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom
(3x-5) + (10x-7) = 180
A triangle has side lengths of (4f + 2) centimeters, (7f+7) centimeters, and (g+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.
What is perimeter?Perimeter is a term used in geometry to refer to the total length of the boundary of a two-dimensional shape, such as a polygon. It is the sum of the lengths of all the sides of the shape.
According to the given information:The perimeter of a triangle is the sum of the lengths of its sides. Therefore, the expression that represents the perimeter of the triangle with side lengths (4f+2) cm, (7f+7) cm, and (g+2) cm is:
Perimeter = (4f + 2) + (7f + 7) + (g + 2)
Simplifying the expression by combining like terms, we get:
Perimeter = 11f + g + 11
Therefore, the expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.
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find the volume for the spear shown to The Right. Use 3.14 for pi sphere is 5.8
Semicircle perimeter is 5.8 m
THEN
2π • R + 2R = 5.8
R = 5.8/(2π + 2) = 0.7 meters
Now find Volume
Volume V = (4/3)•π•R^3
V= (4/3)•π•(0.7^3) = 1.438 cubic meters
V=. 1.438 m^3
please help i just need to get this done.
The equation of the line in slope-point form, slope-intercept form, and standard form are y = -100x + 1250, y - 1250 = -100(x-0) and 100x + y = 1250 respectively
How to write the equation of a line in point-slope form?
The equation of a line in point-slope form is given as y − y 1 = m ( x − x 1),
where ( x 1, y1 ) is the point given and m is the slope
m = y2-y1 / x2-x1, where x1 = 0, y1 = 1,250 and x2 = 5, y2 = 750
m = 750-1250 / 5-0
m = -500/5 = -100
Thus, the slope-point form:
y − y 1 = m ( x − x 1 )
y - 1250 = -100(x-0)
The equation of a line in slope-intercept form is given as y = mx+c,
where (x, y) is the point given, m is the slope and c is the y-intercept
where x1 = 0, y1 = 1,250 and m = -100
y = mx + c
1250 = -100(0) + c
c = 1250
Thus, the equation in slope-intercept form is:
y = -100x + 1250
The equation of a line in standard form is given as ax + by = c, where a, b, c are real numbers
Rewrite y = -100x + 1250. Thus, the equation in standard form is:
100x + y = 1250
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I NEED HELP WITH STATISTICS
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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12.
What is the
equation of a circle with center (-7, -3) and radius 2?
Answer:
(x + 7)^2 + (y + 3)^2 = 4
Step-by-step explanation:
The standard equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius. We can substitute the information given to obtain:
(x + 7)^2 + (y + 3)^2 = 4
Los 1600 euros de alquiler de un terreno se reparten entre tres ganaderos que llevan alli a pastar sus ovejas. Como no tienen el mismo número de ovejas, deciden pagar proporcionalmente al número de ovejas de cada uno. Si el primero tiene 120 Ovejas,el segundo 72 y el tercero 68. ¿ Cuánto paga cada uno?
So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros
What is proportion?Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.
Here,
To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:
120 + 72 + 68 = 260
The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:
0.4615 x 1600 = 738.40 euros
Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:
0.2769 x 1600 = 443.04 euros
The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:
0.2615 x 1600 = 418.56 euros
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Complete question:
The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?
6th grade math ok thanks
192.78
Hope this helps!
✧◝(⁰▿⁰)◜✧
Answer:
192.78
Step-by-step explanation:
0.34 X 567 = 192.78
During the soccer season, Sheka scored 4 goals. Dylan scored 8 times as many goals as Sheka.
Which equation represents this comparison?
A. 8 ÷ 4 = 2
B. 8 × 4 = 32
C. 8 + 4 = 12
D. 8 − 4 = 2
Answer:
it's B
Step-by-step explanation:
the text gives you clues "times" is a form of multiplication. therefore it would be 8 TIMES 4
Answer:
B
Step-by-step explanation:
Times = multiplication
So, 8 x 4
For the following equation, complete the given ordered pairs.
3x + y = 10 (__, 1), (2, __)
A.
(10, 1), (2, 12)
B.
(0, 1), (2, 3)
C.
(3, 1), (2, 4)
D.
(2, 1), (2, 5)
PLEASE HELP ME!!!!!!!!
Answer:
C. (3,1) (2,4)
see attached
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5