Answers
For the first equation, only one choice has a midline y = 4, which is h(x).
For the second equation, the first and fifth choices have midline y = 8, but the frequency of 2 only fits the fifth choice: q(x).
For the third equation, the midline of y = 1 only fits g(x).
The fourth equation has midline y = 2 and frequency of 4, which only fits the last choice, r(x).
Related Questions
Alex walked 1 mile in 15 minutes. Sally walked 3,520 yards in 24 minutes. In miles per hour, how much faster did Sally walk than Alex? (Note: 1 mile = 1,760 yards)
Answers
3520yards÷1760yards/mile=2 miles
From there we know:
Alex walked 1 mile for 15 mins and Sally walked 2mile in 24 mins
We need to convert these mileages to miles per hour
1mile/15mins*60mins/hour=4miles /hour
2mile/24mins*60mins/hour=5miles per hour
Alex walks at 4 miles per hour and Sally at 5 miles per hour
Sally walks 1 mile per hour faster than Alex
Starting at home, ishaan traveled uphill to the grocery store for 121212 minutes at just 151515 mph. he then traveled back home along the same path downhill at a speed of 303030 mph. what is his average speed for the entire trip from home to the grocery store and back?
Answers
First of all we need to convert the time interval from minutes to hours, so:
[tex]121212min(\frac{1h}{60min}) = 2020.2h[/tex]
We know that the distance, speed and time are related as follows:
[tex]d = vt[/tex]
Thus, the distance covered from home to the grocery store is:
[tex]d = 151515(2020.2)=306090603mi[/tex]
So, the total distance covered for the entire trip from home to the grocery store and back is:
[tex]d_{t} = 2(306090603) = 612181206mi[/tex]
We need to the total time interval, that is:
[tex]t = t_{1} + t_{2} = 2020.2h + t_{2}[/tex]
So, it is necessary to find [tex]t_{2} [/tex] as:
[tex]t_{2} = \frac{306090603mi}{303030mph} = 1010.1h[/tex]
In this way:
[tex]t = 2020.2h + 1010.1h = 3030.3h [/tex]
Finally, his average speed for the entire trip from home to the grocery store and back is:
[tex]v_{a} = \frac{d_{t}}{t} = \frac{612181206mi}{3030.3h} = 202020,ph[/tex]
Answer: The average speed for the entire trip from home to the grocery store and back is 20 mph.
Step-by-step explanation:
Since we have given that
Ishan traveled uphill to the grocery store for 12 minutes at just 15 mph.
So, Time taken by him = 12 minutes
Speed = 15 mph
So, distance traveled = Speed × time
So, Distance becomes [tex]15\times \dfrac{12}{60}=\dfrac{180}{60}=3\ miles[/tex]
Again, he traveled back home along the same path downhill = 180 miles
Speed of covering downhill = 30 mph
so, Time taken [tex]\dfrac{Distance}{Speed}=\dfrac{3}{30}=\dfrac{1}{10}\ hours[/tex]
Since we know the formula for "Average speed ":
[tex]\dfrac{Total\ distance}{Total\ Time}\\\\\\=\dfrac{3+3}{\dfrac{12}{60}+\dfrac{1}{10}}\\\\\\=\dfrac{6}{\dfrac{1}{5}+\dfrac{1}{10}}\\\\\\=\dfrac{6\times 10}{2+1}\\\\\\=\dfrac{6\times 10}{3}\\\\\\=20\ mph[/tex]
Hence, the average speed for the entire trip from home to the grocery store and back is 20 mph.
QM Q9.) Write the standard form of the equation of the circle with the given center and radius.
Answers
The standard form of the equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
So we have h = 4 and k = 3 and r = √5
So we just need to add these numbers to where they belong.
(x - 4)² + (y - 3)² = (√5)²
(x - 4)² + (y - 3)² = 5
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
A rectangular page is to contain 95 square inches of print. the margins on each side are 1 inch. find the dimensions of the page such that the least amount of paper is used.
Answers
Let the dimensions for the Print Region be M,N
Additional Margin is summed up to get :
New Dimensions of the Page = (M + 2)(N)
[ 2 inches - 1 inch on either side ]
Hence, the Area = [ MN + 2N ] = [ 95 + 2N ]
Note that 'N' has to be a factor of 95
=> Least Possible Area is achieved when N = 5
=> Dimensions of the Page = { 21 inches x 5 inches ]
What are some uses for the distance formula? Finding the perimeter of polygons. Finding the area of rectangles. Finding the equation of a circle. Finding the midpoint of segments. Finding how much gas you will need on a trip.
Answers
-Finding the perimeter of polygons
-finding the area of rectangles
The Distance Formula is used widely in mathematics to calculate the distance between two points, which includes finding the perimeter of polygons, the equation of a circle and the midpoint of segments.
Explanation:The Distance Formula is a valuable tool in mathematics that has a wide range of practical uses and applications. It is primarily used to calculate the distance between two specific points on a coordinate plane. Some uses include the following:
Finding the perimeter of polygons: Distance Formula can be used to calculate the length of each side of the polygon, and then by summing these lengths, we get the perimeter. Finding the equation of a circle: By using Distance Formula, we can establish the radius of the circle - the distance from the center of the circle to any point on the circle. Finding the midpoint of segments: Distance Formula helps to identify the exact middle point between two defined points.
However, usage of the Distance Formula to determine the amount of gas needed for a trip would be incorrect as it requires additional factors like the fuel efficiency of your vehicle and the nature of your trip.
Learn more about Distance Formula here:https://brainly.com/question/11231122
#SPJ6
Trevor just received a jar of mixed nuts containing 325 almonds, 250 pistachios, 75 cashews, and 350 pecans for his birthday. He's going to start randomly choosing some nuts from the jar, and he's not going to do anything that would favor him choosing any particular type of nut over another. Let's use this information to calculate some probabilities. (4 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point)
What is the probability that the first nut Trevor chooses is a pecan?
Part II: What is the probability that the first nut Trevor chooses is an almond or a cashew?
Answers
325 +250 +75 +350 = 1000
Part I.
The probability of choosing a pecan at random is
(# of pecans)/(total # of nuts) = 350/1000 = 0.35
Part II.
The probability of choosing an almond or cashew is
(# of almonds or cashews)/(total # of nuts) = (325 +75)/1000 = 0.40
Final answer:
The probability of choosing a pecan first is 35%, and choosing either an almond or a cashew first is 40%.
Explanation:
Probability Calculation in Combinatorics
The student's question involves calculating the probability of certain outcomes when choosing nuts from a jar. To answer Part I: the probability that the first nut Trevor chooses is a pecan, we'll need to divide the number of pecans (350) by the total number of nuts in the jar (1000). Therefore, the probability of choosing a pecan first is 350/1000 or 0.35 (35%).
For Part II, we calculate the probability of choosing either an almond or a cashew. The total of almonds and cashews is 325 almonds + 75 cashews = 400. So, the probability is 400/1000, which simplifies to 0.4 (40%).
An airliner travels 45 miles in 5 minutes. What is it’s speed in miles?
Answers
0.88 cm equals how many mm
Answers
0.88*10=8.8
Your answer would be 8.8mm
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? π : (π – 4) (π – 4): π π2 : (π2 – 4) (π2 – 4): π2
Answers
The radius of the circle is r=3. The area of one circle =πr²= 9π.
Area of 4 circles = 4*9π=36π - Green
Area that are left of the square after the circles would be painted green is
144-36π - White
Green : White = (36π) : (144-36π)
Green : White = (36π) : (36(4-π))=π:(4-π)
I should be π:(4-π).
But they do not have this choice.
Maybe they typed it incorrectly and it is going to be π:(π-4).
Answer:
π : (π – 4)
Step-by-step explanation:
Consider the floor tile below.
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles?
π : (π – 4)
(π – 4): π
π2 : (π2 – 4)
(π2 – 4): π2
Odyssey
For the particular problem raised in the introduction, assume that the total bill is $44. to answer the question "how should the bill be split?" we will create a linear equation. the unknown is how much money a single person (besides anika) must pay, so call that x. although four people (you plus three friends) went to dinner, only three are paying the unknown amount x for a total of 3x. since anika is paying $2, the total amount paid is 3x+2 dollars, which must equal the amount of the bill, $44. thus, the equation to find x is 3x+2=44. the steps for solving a linear equation are as follows: move all of the constants to the right side. move all of the variable terms (terms containing x) to the left side. divide both sides by the coefficient of the variable to isolate the variable. you will go through these steps one at a time to solve the equation and determine how much each person should pay.
Answers
3x+2(-2)=44-2
3x=42
3x/3=42/3
x=14
So each person would have to pay $14, except Anika
Is 7+8x=y proportional, if so what is the constant proportionality?
Is y=-2/5x proportional, if so what is the constant proportionality?
Answers
b) Yes. The constant is the coefficient of x, -2/5.
Grace has one $10 bill and three $5 bills she spends 9.30 on a belt and $4.20 on snack how much money does grace have left
Answers
Amount spent = $9.30 + $4.20 = $13.50
Amount left = $25 - $13.50 = $11.50
Answer: $11.50
11.50
GIVE ME BRAINLIEST PLZZZZ
Find the length of the arc shown in red, Leave your answer in terms of pi.
Answers
Answer:
The red arc has length (3/2) π
Step-by-step explanation:
* Lets revise some rules in the circle
- The measure of any arc = the measure of the central angle
subtended by this arc
- Equal central angles subtended by equal arcs
- The length of the arc is a part from the length of the circle,
it depends on the ratio between the measure of this arc
and the measure of the circle
- The measure of the circle = 360°
- The length of the circle = 2πr
* Lets solve our problem
∵ The measure of the arc = 30°
∴ The measure of its central angle 30°
∴ The central angle of the red arc = 30° by condition of
vertically opposite angles are equal in measures
∴ The measure of the red arc = 30°
- The ratio between measure the arc and the measure
of the circle is 30/360 = 1/12
∴ The arc is 1/12 from the circle
∴ The length of the arc is 1/12 from the length of the circle
∴ Length red arc = (1/12) × 2πr
∵ r = 9
∴ Length red arc = (1/12) × 2 × π × 9 = (3/2) π
* The red arc has length (3/2) π
Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.
Answers
Max did not. Max's second factor has terms with a common factor of 2 that can be removed.
PLZ HELP ASAP INSCRIBED SHAPES
Answers
It’s handy to remember that 5, 12, 13 is a pythagorean triple.
So, 13 is the radius.
Hope this helped!
The find the hypotenuse, simply use the following,
[tex] \sqrt{a { }^{2} + b ^{2} } [/tex]
Or the square root of one leg squared us the other leg squared.
I already know this to be a 5 - 12 - 13 right triangle and you can get 13 with the equation.
~~
Half of 13 is 6.5 meaning 6.5 is our radius.
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
if AB if the midsegment find x SHOW WORK
Answers
Put another way, segment XZ is two times longer than segment AB, so,
XZ = 2*AB
34 = 2*(3x-1)
34 = 6x-2
6x-2 = 34
6x = 34+2
6x = 36
x = 36/6
x = 6
Answer: 6
Side Note: AB is 17 units long
You have the opportunity to lease space for your business with a fixed-rate lease. The property owner has proposed a five-year lease with a rent of $4,000 per month. How much is the rent per year? How much is the rent over the life of the lease?
Answers
Twelve people are entered in a race. If there are no ties, in how many ways can the first three places come out?
Answers
[tex] 12\cdot11\cdot10=1320 [/tex]
The number of ways the first three places in a race with twelve competitors can be filled is 1320, calculated by the permutations formula which multiplies the choice for each of the three places -- 12 for first, 11 for second, and 10 for third.
The student's question asks for the number of different ways the first three places in a race can be filled when there are twelve competitors. This is a problem of permutations where we do not consider the remaining positions after the third place. To solve this, we calculate the number of permutations for the first three places, which is a sequence of choices. We have 12 choices for the first place, 11 choices for the second place after the first place has been filled, and 10 choices for the third place after the first two places have been filled.
The total number of permutations can be calculated as:
First place: 12 possibilitiesSecond place: 11 possibilities (since one person is already in the first place)Third place: 10 possibilities (as two contestants are in the first and second place)By the counting principle, we multiply these choices together to find the total number of permutations for the first three places, which is 12 x 11 x 10.
Therefore, the total number of ways the first three places can be awarded is 12 x 11 x 10 = 1320 different permutations.
The "Let's Roll" game uses a number cube with the numbers 2,4,6,8,10, and 12. There are prizes for rolling any number less than 6. How likely is it to roll a number less than 6?
Answers
The probability of rolling a number less than 6 in the 'Let's Roll' game is 1/3.
Explanation:To find the probability of rolling a number less than 6 in the 'Let's Roll' game, we need to count the number of favorable outcomes (numbers less than 6) and divide it by the total number of possible outcomes (numbers on the number cube). In this case, the favorable outcomes are 2, 4, and the total number of outcomes is 6.
Therefore, the probability of rolling a number less than 6 is 2/6 or 1/3.
Therefore the probability of getting a number less than 6 will be 33.3%
Probability is defined as the ratio of the
number of favorable outcomes to the total
number of outcomes in other words the
probability is the number that shows the
happening of the event.
Sample space we have = [ 2,4,6,8,10,12 ] = 6
Desirable outcome will be = [2,4] = 2
Probability = 2 / 6
Probability = 1/3
Probability = 0.33 = 33%
Therefore the probability of getting a number less than 6 will be 33.3%
What is the mean of 20, 37, 43, 54, 83, 102, 117, 160, 208?
Answers
The scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving. The equation represents the linear model for this data. y=−0.0067x+17 What does the number -0.0067 in the equation mean in this context? There were 0.67 accidents per month. The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program. The number of accidents was reduced by 0.67 per month for every additional driver in the program. The number of accidents increased by 0.67 per month for every additional 100 drivers in the program. The number of accidents was reduced by 0.67 per month every month.
Answers
Answer:
the answer is A
Dustin is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. if the angle of elevation from dustin's mom to Dustin is 73 degrees, how far off the ground is nick?
A. 118.2 ft
B. 120.9 ft
C. 124.3 ft
D. 126.5 ft
E. 128.1 ft
Answers
tan θ=opposite/adjacent
θ=73°
opposite=h ft
adjacent=38 ft
plugging our values we get:
tan 73=h/38
thus
h=38 tan 73
h=124.29~124.3 ft
Answer: C. 124.3 ft
The correct option is A. [tex]118.2\ ft[/tex]. Dustin is approximately [tex]118.2\ ft[/tex] off the ground.
To find how far Dustin is off the ground, we can use trigonometry, specifically the tangent function.
Let [tex]\( h \)[/tex] denote the height of Dustin above the ground.
Given:
Angle of elevation [tex]\( \theta = 73^\circ \)[/tex]
Distance from Dustin's mother to the base of the ferris wheel [tex]\( d = 38 \)[/tex]feet
We can set up the tangent function:
[tex]\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{h}{d} \][/tex]
Substitute the given values:
[tex]\[ \tan(73^\circ) = \frac{h}{38} \][/tex]
Now, solve for [tex]\( h \)[/tex]
[tex]\[ h = 38 \times \tan(73^\circ) \][/tex]
Use a calculator to find [tex]\( \tan(73^\circ) \)[/tex]
[tex]\[ \tan(73^\circ) = 3.0985 \][/tex]
Therefore,
[tex]\[ h = 38 \times 3.0985 \][/tex]
[tex]\[ h = 117.839 \][/tex]
Rounding to the nearest tenth, Dustin is approximately [tex]\( 117.8 \) feet[/tex] off the ground.
Q #14 Solve the equation
Answers
The scalene triangle is a polygon with three sides, all of which are different.
As a consequence, their angles will also all be unequal. These, as in all triangles, add up to 180º (α + β + γ = 180º).
Answer:
Scalene
option 3
What is the value of x in the following equation 1/5x=5^8
A)-8 B) 8 C)40 D)-40
Answers
What is the value of x in the following equation (1/5)^x=5^8
Applying logarithms both members
log(1/5)^x=log(5^8)
x*log(1/5)=8*log(5)
x=8*log(5)/log(1/5)
we know that
log (1/5)----> log (1)-log (5)----> 0-log (5)-----> -log (5)
so
x=8*log(5)/-log (5)------> x=-8
the answer is
-8
Solve the equation: Sin2x - Sinx = 0
Answers
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Given the parent function of y=|x|, state the type of transformation that occured to get the function below. y=1/4|x|
Answers
the transformation that occurred to the parent function[tex]\( y = |x| \)[/tex] to get the function[tex]\( y = \frac{1}{4}|x| \)[/tex] is a vertical compression by a factor of 4.
The parent function ( y = |x| ) represents the absolute value function, which takes the absolute value of \( x \) and outputs its positive value.
The function [tex]\( y = \frac{1}{4}|x| \)[/tex] is a transformation of the absolute value function. Specifically, it involves the following transformations:
1. **Vertical Compression:**
The coefficient[tex]\( \frac{1}{4} \)[/tex] before[tex]\( |x| \)[/tex] compresses the graph vertically. It shrinks the height of the graph by a factor of 4 compared to the parent function [tex]\( y = |x| \).[/tex]
So, the transformation that occurred to the parent function[tex]\( y = |x| \)[/tex] to get the function[tex]\( y = \frac{1}{4}|x| \)[/tex] is a vertical compression by a factor of 4.
Find the 15th term of the arithmetic sequence.
a+1, 2a+1, 3a+1
a. a+15
b. 15a+15
c. 15a + 1
d. 14a+14
Answers
The coefficient of "a" in the given sequence is the term number (1, 2, 3, ...) and the constant remains constant at 1. Thus the 15th term can be expected to be ...
c. 15a + 1
c. 15a + 1
A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square centimeters. What are the dimensions of the larger rectangle?
Answers
The dimensions of the lager rectangle are;
length = 25cm
width = 10cm
Similar shapes are shapes with equal corresponding angles and equal side ratio. This side ratio is called scale factor.
scale factor = √ area factor
area factor = area of new shape/ area of old shape
area factor = 250/160
= 25/16
scale factor = √25/√16 = 5/4
Therefore the width of the larger rectangle = 8 × 5/4 = 10cm
the length = 250/10 = 25 cm
Therefore the dimensions of the larger rectangle are;
length = 25cm
width = 10cm
A student conducted a poll of 100 internet users and found the average time spent online per day was 2 hours. The student described 2 hours as a parameter. The student is incorrect because the value is a numerical measurement describing a characteristic of _____.
a ratio
a sample
a population
quantitative data
Answers
In statistics A sample is a part of a population .A sample statistic is any quantity we derive from a sample taken from a population . A sample refers to a set of observations drawn from a population.
We are given A student conducted a poll of 100 internet users and found the average time spent online per day was 2 hours .Here 2 hours is an observation derived from the set of observations made .So 2 hours is a characterstic of a sample.
The second option a Sample is the right answer.
Help with this one please
Answers
A=G^2/H; H=G^2/A
The explanation is shown below:
1. To solve the exercise shown in the figure attached, you must apply the proccedure shown below:
2. You have the following equation to calculate G:
G=√AH
3. Now, to find the formula to calculate A, you must clear the A, as below:
G^2=(√AH)^2
G^2=AH
A=G^2/H
4. Then, you must apply the same proccedure to find the formula for calculate H, as following:
G^2=(√AH)^2
G^2=AH
H=G^2/A
Rewriting;
G=sqrt(AH)
//square both sides//
G^2=[sqrt(AH)]^2
G^2=AH
A=G^2/H
G=sqrt(AH)
//square both sides//
G^2=[sqrt(AH)]^2
G^2=AH
H=G^2/A
Thus, the answer is the first option which has A=G^2/H and H=G^2/A
The Root-Mean Square-Arithmetic Mean-Geometric Mean-Harmonic Mean Inequality (RMS-AM-GM-HM), is an inequality of the root-mean square, arithmetic mean, geometric mean, and harmonic mean of a set of positive real numbers that says:
with equality if and only if . This inequality can be expanded to the power mean inequality.
As a consequence we can have the following inequality: If are positive reals, then with equality if and only if ; which follows directly by cross multiplication from the AM-HM inequality.This is extremely useful in problem solving.