Answers
Answer:
b
Step-by-step explanation:
In general
Given
y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction
• If C > 1 then compression
• If 0 < C < 1 then stretch
Consider corresponding points on the 2 graphs
(2, 2 ) → (4, 2 )
(4, - 2 ) → (8, - 2 )
Indicating a stretch in the x- direction.
y = f([tex]\frac{x}{2}[/tex] ) with C = [tex]\frac{1}{2}[/tex] , that is 0 < C < 1
stretches the graph in the x- direction by a factor of 2
Thus
y = f([tex]\frac{x}{2}[/tex] ) → b
Related Questions
the length of rectangle is 6/5 of its breath and perimeter is 132 m find area of rectangle
Answers
Answer:
1,080 meters squared.
Step-by-step explanation:
Let's say the breadth of the rectangle is x. That means the length of it is 6/5x.
The perimeter is 132 meters. The formula for the perimeter is 2 times the breadth plus two times the length.
2(x) + 2(6/5x) = 132
2x + 12/5x = 132
10/5x + 12/5x = 132
22/5x = 132
22x = 660
x = 30.
That means that the breadth of the rectangle is 30 meters, and the length is (6/5) * 30 = 6 * 6 = 36 meters.
The formula for the area of the rectangle is the breadth times the length, so the area is 36 * 30 = 1,080 meters squared.
Hope this helps!
the sum of three consecutive numbers is 276. What is the smallest of these intengers?
Answers
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answers
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
(4) The Highest Common Factor of 35pq^2, -14pq^2 and -21p^2q^3 is
Answers
[tex]35pq^2=5\cdot7\cdot p\cdot q^2\\-14pq^2=-1 \cdot 2\cdot 7\cdot p \cdot q^2\\-21p^2q^3=-1\cdot 3\cdot 7\cdot p^2 \cdot q^3\\\\\text{hcf}(35pq^2,-14pq^2,-21p^2q^3)=7\cdot p \cdot q^2=7pq^2[/tex]
Murphy purchases two bags of rice of weights 56 kg and 72 kg. Find the maximum value of weight which can measure the weight of the rice exact number of times.
Answers
Answer:
8
Step-by-step explanation:
In order to answer this question we need to find the greatest common divisor of the two quantities which will give us the maximum number by which both can be divided.
The greatest common divisor of a group of integers is the largest common divisor that divides each of the integers. The first step to find it is write down the integers as a product of primes, so we have:
[tex]56=(28)(2)=(14)(2)(2)=(7)(2)(2)(2)= 2^3[/tex]·[tex]7[/tex]
[tex]72=(24)(3)=8(3)(3)=2^3[/tex]·[tex]3^2[/tex]
Now, in order to find the gcd we are going to take the factors that they have in common. In this case they both share the [tex]2^3[/tex].
Thus, [tex]2^3=8[/tex] is the greatest common divisor and therefore the maximum value of weight which can measure the weight of the rice exact number of times.
Vicky jogged 2 3/4 miles in 1/2 hour. What was her average rate of speed in miles per hour?
Answers
Answer:
5 1/2
Step-by-step explanation:
a) r=d/t
11/4x2/1= 22/4= 5 1/2
b) 1/2 hour x 2 equals one hour, so 2 3/4 x 2 equals rate per hr.
11/4x2=22/4= 5 1/2
Answer:
1 mph
Step-by-step explanation:
All you have to do is follow the formula. Distance/time=mph
what is (a x b) x c if a = 2, b = 8, and c = 12? PLEASE HELP!!
Answers
Answer:
192
Step-by-step explanation:
(a x b) x c
Let a=2 b=8 c=12
(2 * 8) * 12
16 * 12
192
Answer:
192Step-by-step explanation:
[tex]a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192[/tex]
cuantos son 4 elevado a 4???
Answers
Answer:Answer and Explanation:
When a number is said to be 'to the fourth power,' that just means that you need to multiply the number by itself four times. For example, 7 to the...
Step-by-step explanation:
I need help! Answer as fast as you can. Marking brainlyiest
Answers
Answer:
A
Step-by-step explanation:
We can break down what each term represents in the equation
60 is the constant. This is the base price that is paid regardless of workers and hours needed
Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.
The most accurate answer is A
Please help, i’ve never been good at this.
Answers
Answer:
x=4, x=-10
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
As per Pythagorean theorem:
10² = (x+2)² + (x+4)²100 = x² + 4x + 4 + x² + 8x + 16100 = 2x² + 12x + 2080 = 2x² + 12x40 = x² + 6xx² + 6x - 40 = 0Solving we get positive root of:
x = 4We have two fractions, \dfrac{1}{6} 6 1 start fraction, 1, divided by, 6, end fraction and \dfrac{3}{8} 8 3 start fraction, 3, divided by, 8, end fraction, and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator? Choose 2 answers: Choose 2 answers: (Choice A) A 121212 (Choice B) B 242424 (Choice C) C 161616 (Choice D) D 4848
Answers
Answer:
B) 24
D) 48
Step-by-step explanation:
Given:
Two fractions
[tex]\dfrac{1}6 \\and\\\dfrac{3}8[/tex]
To find:
Number that can be chosen as Common denominator such that numerator is also a whole number ?
Solution:
Common denominator for two fractions [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex] is chosen as LCM or multiple of LCM of (q, s).
OR
Common denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.
The denominators of the given fractions are 6 and 8.
Let us factorize and try to find the LCM of 6 and 8.
[tex]6 = \underline2 \times 3\\8 = \underline2 \times 2\times 2[/tex]
Common part of the denominators (as underlined) will be taken only once.
So, [tex]LCM = 2 \times 3 \times 2 \times 2 =24[/tex]
Multiples of LCM, 24 = 48
So, the correct answers are:
B) 24 and
D) 48
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer to the nearest whole number.
Answers
Answer:
356 ft³ per month.
Step-by-step explanation:
From the question,
Water flows at a rate of 710 pints per day.
We shall convert 710 pints to cubic feet (ft³).
This can be obtained as follow:
1 pint = 0.0167 ft³
Therefore,
710 pints = 710 × 0.0167 = 11.857 ft³
From the calculations made above, 710 pints is equivalent to 11.857 ft³.
Thus, we can say that water flows at a rate of 11.857 ft³ per day.
Finally, we shall determine the rate of flow of water in cubic feet per month.
Note: there are 30 days in a month.
Water flow at a rate of 11.857 ft³ per day.
Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³
Thus, the flow rate of water is 356 ft³ per month.
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.
Answers
Answer:
y = 100(3)^t
Step-by-step explanation:
Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.
Plug in the values given:
y = 100(1 + 2)^t
y = 100(3)^t
Answer:
Step-by-step explanation:
y = 100(3)^t
The following diagram shows the lines x – 2y – 4 = 0, x + y = 5 and the point P(1, 1). A line is drawn from P to intersect with x – 2y – 4 = 0 at Q, and with x + y = 5 at R, so that P is the midpoint of [QR].
Find the exact coordinates of Q and of R.
Answers
Answer:
Q(2/3, -1 2/3)R(1 1/3, 3 2/3)Step-by-step explanation:
Let (a, b) represent the coordinates of point Q on line x -2y -4 = 0. Then we know that ...
a -2b -4 = 0
a -2b = 4
__
If P is the midpoint of QR, then ...
R = 2P -Q = 2(1, 1) -(a, b) = (2 -a, 2 -b)
We know this point satisfies the equation for the other line:
x + y = 5
(2 -a) +(2 -b) = 5
a + b = -1 . . . . . . . . . . . rearrange to standard form
__
To find the solution to these two equations, we can subtract the first from the second:
(a +b) -(a -2b) = (-1) -(4)
3b = -5
b = -5/3
a = -1 -1b = -1 -(-5/3) = 2/3
The point Q is (a, b) = (2/3, -5/3).
The point R is ...
R = (2 -a, 2 -b) = (2 -2/3, 2 -(-5/3)) = (4/3, 11/3)
The exact coordinates of Q and R are ...
Q(2/3, -5/3), R(4/3, 11/3)
_____
Comment on the GeoGebra solution
The points can be found by reflecting either line across point P. Where that reflected line intersects the other line is one of the points of interest. Of course, the other is its reflection in P. You may recognize the equation for line b' (hidden in the diagram) as matching the second equation we derived above.
The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical
line test, is this equation a function? Why or why not?
Answers
Answer: This equation is not a function.
Step-by-step explanation:
Ok, a function is something like a "machine".
It takes an input value, x, and transforms it into an output value, y.
Such that for every input x, the function can transform it into only one value of y.
for example, if we have a "function" f(x)
such that f(2) = 3 and f(2) = 4
(for the same input, x = 2, we have two different outputs)
Then this is not a function.
Now, the given equation is:
x^2 + y^2 = 5
This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.
Then, if we want to transform it into y(x), we can see a problem
If x = 0, we have:
0^2 + y^2 = 5
y^2 = 5
then we have two possible values for y:
y = +√5
y = -√5
Then for one value of x, we have two values of y.
This means that this is not a function.
Answer:
No. The vertical line touches the graph at more than one point at once.
Step-by-step explanation:
I just did it
Which of the following is the solution of 5x – 6 = 44?
O x=-10
38
X=--
5
38
X = 10
Answers
Answer:
x = 10
Step-by-step explanation:
5x - 6 = 44
Add 6 on both sides of the equation.
5x = 50
Divide by 5 on both sides of the equation.
x = 10
So, the value of x is equal to 10
Answer:
x=10
Step-by-step explanation:
5x-6=44
grouping constants and numbers with coefficient of x we get
5x=44+6
5x=50
5x/5=50/5
x=10
We want to factor the following expression: 16x^4-25
Answers
Answer:
(4x2 +5)⋅(4x2 −5)
A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs?
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups.
The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.
Answers
Answer:
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
Step-by-step explanation:
In hypothesis testing, there is a premise or a claim where an analyst want to test or to investigate in an experiment. In this study, different sampling methods are being carried out.
In hypothesis testing, we usually have the null hypothesis and the alternative hypothesis.
The null hypothesis is an established hypothesis which is usually denoted by [tex]H_o[/tex] and it is a currently accepted value or default for a parameter.
On the other hand the alternative hypothesis or the research hypothesis denoted by [tex]H_a[/tex] came into place to challenge the study to be tested.
In the given question , the teacher wants to see the difference in the outcome of the test scores if there will be an improvement. The same is true for hypothesis testing, we tends to see the difference in the test statistics result maybe it is significant or not in order to determine the conclusion on the null hypothesis.
calling all brainly users
Answers
Answer:
The triangles are not similar
Step-by-step explanation:
We can see that TU and EU are equal in length but SU and DU are not hence they are not similar
Rearrange the equation so x is the independent variable. y+6=5(x-4)
Answers
Answer:
x = (y + 26)/5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
y + 6 = 5(x - 4)
Step 2: Distribute
y + 6 = 5x - 20
Step 3: Isolate x
y + 26 = 5x
Step 4: Isolate variable x
(y + 26)/5 = x
Step 5: Rewrite
x = (y + 26)/5
Answer:
y = 5x - 26
Step-by-step explanation:
Since x is the independent variable, you have to solve for y.
y + 6 = 5(x-4)
Now distribute:
y + 6 = 5x - 20
subtract the 6 from both sides
y + 6 - 6 = 5x - 20 - 6
y = 5x - 26
I need the answers for Q10 part b and Q11 ASAP!!!
Answers
Answer:
Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)
Q11i: z = 8y
Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)
Step-by-step explanation:
Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.
HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)
Answers
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer:
[tex]\large \boxed{2(5x-4)(x+1)}[/tex]
Step-by-step explanation:
[tex]10x^2 + 2x - 8[/tex]
Rewrite 2x as 10x - 8x.
[tex]10x^2 + 10x-8x - 8[/tex]
Factor out the two groups.
[tex]10x(x+1)-8(x+1)[/tex]
Take x+1 as a common factor.
[tex](10x-8)(x+1)[/tex]
Factor 10x - 8.
[tex]2(5x-4)(x+1)[/tex]
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answers
Answer:
15.6 ft²
Step-by-step explanation:
Given:
Radius (r) of circle = 5.7 ft
m<CBD = 55°
Required: Area of the shaded sector
SOLUTION:
Area of shaded sector = θ/360*πr²
Where,
θ = 55°
π = 3.14
r = 5.7 ft
Plug in your values
[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]
[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]
[tex] Area = 15.59 [/tex]
Area of shaded sector to nearest tenth = 15.6 ft²
Answer:
unij.,hsakj hdku ugkzsssssssjbfskjgfbskufjbghjbgfhjbghbfkjhbfsdf mdftedtmtedemedeedttfgtubjcufttttttttgxdcgfvcdhfvvvvvdyuyuyuyfyfyfftftftftftyytftfftftffttyfjvhghfhgfghfgfghfhgfghfhgfghfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfhf
Step-by-step explanation:
u suck balls
*PLEASE ANSWER* What is the volume of this prism?
Answers
Answer:
23.85
Step-by-step explanation:
→ Work out area of triangle
0.5 × 6 × 3 = 0.5 × 18 = 9
→ Multiply area of triangle by width of prism
9 × 2.65 = 23.85
The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Answers
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm
Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR
A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent
Answers
Answer:
B. Congruent - SSS
Step-by-step explanation:
Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.
ΔMNO ≅ ΔPQR due to Congruent-SSS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given:
In ΔMNO and ΔPQR
Side ME=Side PQ
Side NO=Side QR
Side MO=Side PR
MNO ≅PQR
Since, corresponding sides of both the triangles are congruent.
So, both the triangles are congruent by SSS Postulate.
Hence , ΔMNO ≅ ΔPQR
learn more about of congruent triangles
brainly.com/question/4364353
#SPJ5
Solve for x. 7x+38=45
Answers
Answer:
x=1
Step-by-step explanation:
subtract 38 from both sides:
7x=7
divide both sides by 7 to isolate x:
x=1
HOPE THIS HELPS!!!! :)
Calvin has 80 meters of fencing to enclose his rectangular garden. He wants the garden’s length to be 12 meters greater then its width. Find the length and width of the garden.
a) 12m x 28m
b) 14m x 26m
c) 12m x 24m
d) 18m x 22m
Pls help!
Answers
Answer:
a
Step-by-step explanation:
a because when you divide 80 by 12 you get 28, so then it is 12 x 28m. :/
Answer:
Width W = 14 m
Length L = 26 m
Step-by-step explanation:
Perimeter of a rectangle = 80 m = 2L + 2W
L = 12 + W
80 = 2L + 2W
80 = 2(12 + W) + 2W
80 = 24 + 2W + 2W
80 - 24 = 4W
56 = 4W
W = 56 / 4
W = 14 m
L = 12 + W
L = 12 + 14
L = 26 m
check:
80 = 2L + 2W
80 = 2(26) + 2(14)
80 = 52 + 28
80 = 80 ---- OK
The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false
Answers
Answer:
a) true
Step-by-step explanation:
$4.65. >$7.45.
Point R is on line segment QS. Given QR=3 and QS=17, determine the length RS.
Answers
Answer:
14
Step-by-step explanation:
RS = QS - QR
RS = 17 - 3
RS = 14
Answer:
[tex]\large \boxed{14}[/tex]
Step-by-step explanation:
Point R is on the line segment QS.
QS = QR + RS
Solve for RS.
RS = QS - QR
RS = 17 - 3
RS = 14
