Answer:
3.75
Step-by-step explanation:
if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it
What is the multiplicative rate of change of the function? two-thirds three-fourths four-thirds three-halves
The multiplicative rate of change is 2/3
How to determine the multiplicative rate of change?The complete question is in the image
The multiplicative rate of change is then calculated as:
r = y2/y1
This gives
r = 4/6
Simplify
r = 2/3
Hence, the multiplicative rate of change is 2/3
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Answer:
b.
Step-by-step explanation:
Which length is equivalent to 12 yards?
Answer:
36 feet
Step-by-step explanation:
1 yard 3 feet
Event A: Spinning violet or yellow on the spinner.
Event B: Rolling an even number on a number cube.
What is P(A and B)?
Answer:
[tex]\sf P(A \cap B)=\dfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Event A - spinning violet or yellow
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.
[tex]\implies \sf P(A) = \dfrac{2}{4}=\dfrac{1}{2}[/tex]
Event B - rolling an even number
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.
[tex]\implies \sf P(B)=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
Events A and B are independent events as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:
[tex]\implies \sf P(A \cap B)=P(A)P(B)[/tex]
To find P(A and B), substitute the found values of P(A) and P(B):
[tex]\implies \sf P(A \cap B)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]
P(A)
2/41/20.5P(B)
3 even nos are 2,4,6
3/61/20.5P(A[tex]\cap[/tex])
0.5²0.25 or 1/4Question 11 of 20
What is the solution to the equation below? (Round your answer to two
decimal places.)
log₂ x = 5.6
Step-by-step explanation:
log2(x) = 5.6
so,
x = 2^5.6 ≈ 48.50293013... ≈ 48.50
21, Given: AC=FC, CB = CD
Prove:
Answer:
in triangle ACD and BCE
AC = EC
angle ACD = angle ECB ( COMMON ANGLE).
CB = CD
BY side and side criteria
triangle ACD is congruent to triangle BCE
so angle a is congruent to angle E
hence, proved
y’all help find the area and perimeter
Answer:
área is 15 perimeter is B
Which of these polygons can be formed by the cross-section created when a plane intersects a pyramid? Select all that are possible.
square
pentagon
circle
rectangle
When a plane intersects a pyramid, the cross-section of polygon created is
Square andRectangleTo answer the question whe need to know what polygons are.
What are polygons?Polygons are shapes with 3 or more sides.
What is a pyramid?A pyramid a four-sided solid with triangular sides and a square base.
What polygons are formed by the cross-section created when a plane intersects a pyramid?When a plane intersects a pyramid parallel to its base, the cross-section created by the plane is a squareAlso, when a plane intersects a pyramid at an angle to its base, the cross-section formed is a rectangle.So, when a plane intersects a pyramid, the cross-section of polygon created is
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Brianna bought a total of 8 notebooks and got 16 free pens
Answer: 1:2
Step-by-step explanation:
Well, if you're asking for the ratio, it is 1:2
For every 1 notebook bought, there would be 2 free pens.
Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.
Express in the form
1
:
n
.
Give
n
as a fully simplified fraction.
12
:
2
Answer:
1:(1/6) where n = 1/6
Ramon has $80.00 saved from mowing yards and raking leaves. If half of his money came from mowing yards, how much money came from raking leaves?
Answer:
$40
Step-by-step explanation:
Ramon has $80 saved
half of it came from mowing yard
therefore 80/2 = 40
the rest from raking leaves
80-40=40
f(x)=3x^4-5x^2 this function is because
This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.
Is this a function?
A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.
For example, if we had:
y = ±√x
Notice that for the same input x = 1, we would have two outputs:
y = 1 and y = -1.
So that is not a function.
Now, for the given one:
[tex]y = f(x) = 3x^4 - 5x^2[/tex]
This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
3 days, 27
Step-by-step explanation:
After 3 days :
3³ = 27 belts4(3) + 15 = 12 + 15 = 27 beltsAfter 3 days, the number of belts and wallets sold will be the same, equal to 27.
After 3 days, the number of belts and wallets sold will be the same, equal to 27.
It is given that the number of belt sold s, x days after its online lunch s=3^x
and s=4x+15.
To find correct answer in each box.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers.
After 3 days :
3³ = 27 belts
4(3) + 15 = 12 + 15 = 27 belts
So, after 3 days, the number of belts and wallets sold will be the same, equal to 27.
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9. The results of a random survey is displayed in the histogram as shown.
Number
of
Walkers
25
50
25
20
15
10
75
5
0
1-4
Walking Record
5-8
How many people are in the sample survey?
O 100
9-12
13-15
16-19
Miles per Weeks
The number of people in the sample survey is 75.
Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.
The sample survey has
5 people in 1-4 miles per week
10 people in 5-8 miles per week
15 people in 9-12 miles per week
20 people in 13-15 miles per week
25 people in 16-19 miles per week
The number of people in the sample survey is
5 + 10 + 15 + 20 + 25
=5(1 + 2 + 3 + 4 + 5)
=5(15)
=75
Hence, the number of people in the sample survey is 75.
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Describe the shape of the distribution for the following and justify your answer:
a. The distance people travel to work on a typical day - The horizontal axis is the distance traveled in a person's daily commute. The vertical axis is frequency (number of people with that distance for their daily commute). Shape of distribution:
uniform
symmetric
skewed left
skewed right
Justification:
b. Number of hours of sleep for each night of the week (weekdays only) - The horizontal axis is the day of the week (Monday to Friday) and the vertical axis is the amount of sleep in hours for that night. Shape of distribution:
symmetric
skewed left
skewed right
uniform
Justification:
c. Age of first heart attack - The horizontal axis is age. The vertical axis is frequency (number of people who had their first heart attack at that age). The population is people in the US who have had at least one heart attack. Shape of distribution:
skewed left
symmetric
skewed right
uniform
Justification:
d. Scores on the Graduate Requirement Exam - This is a standardized test for people entering graduate school. The horizontal axis would be the person's total score. The vertical axis would be frequency (number of people with that score). The population would be all GRE test takers for a given year. Shape of distribution:
skewed left
symmetric
skewed right
uniform
Justification:
As the travelling distance to work increases, number of such people decreases. Therefore this distribution shape will be skewed right.
How to depict the shape?On each weekday, the number of sleeping hours generally remains the same. So the shape of the distribution will be uniform.
In general, most people will have their first heart attack at a higher age. So the shape of the distribution will be skewed left.
Scores of GRE will have a normal distribution in general. So the shape of the distribution will be symmetric.
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What is the range of the function graphed below?
O (-∞0,4]
O [-4.0) [2,00)
O [-4,00)
O (-4,0] (2,00)
Answer: B. [–4, 0) ∪ [2, ∞)
To find the range, find out what y-values are possible for the function in the graph.
SymbolsWe need to pay attention to what symbols to use.
Reading the diagramSolid circle
The function touches the point.Empty circle
The function gets close, but does not touch the point.Arrow
The function keeps going to infinity.Writing range in set notationSquare brackets: [ and ]
These show that the function touches the point.Curved brackets: ( and )
These show that the function gets close but does not touch the point.Infinity always uses a curved bracket.Union of sets: ∪
This symbol shows that sets of values are talking about the same thing. It's almost like the word 'and'.Finding the range of the graphed functionLower blue lineLet's start by looking for the lowest possible y-value at the bottom of the diagram. On the graph, the point (4, –4) marked with a solid circle.
The function touches the point and stops. Since the y-value is –4, the lowest possible y-value is: [tex]-4[/tex]
If we follow the blue line upwards, we find an empty circle at (0, 0). The y-value in (0, 0) is 0. This means that the function gets close, but does not include: [tex]0[/tex]
So, the first part of our range is:
[–4, 0)Upper blue lineThe blue line on the top starts where y = 2 at a solid circle. So, the function includes the y-value: [tex]2[/tex]
If we follow this blue line upwards, it ends with an arrow. This means it will keep going to infinity, which is the symbol: [tex]\infty[/tex]
So, the second part of our range is:
[2, ∞)Putting it togetherPut the lower and upper blue lines together with the union of sets symbol. The range is expressed as: [–4, 0) ∪ [2, ∞)
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Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x)=2x^(2)-3x-10
g(x)=-3x^(2)+20
The solutions to the system of equation f(x) and g(x) are [tex]\frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex] and
[tex]\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]
Solving quadratic equationsQuadratic equations are equations that has a leading degree of 2. Given the following functions:
f(x)=2x^(2)-3x-10
g(x)=-3x^(2)+20
To solve, we will use the quadratic formula as shown below;
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
For the quadratic equation f(x)=2x^(2)-3x-10
a = 2
b = -3
c = -10
Substitute
[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-10)}}{2(2)}\\x=\frac{3\pm\sqrt{89}}{4}\\x= \frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex]
For the quadratic equation -3x² + 20
a =-3
b = 0
c = 20
[tex]x=\frac{0\pm \sqrt{(0)^2-4(-3)(20)}}{2(-3)}\\x=\frac{\pm4\sqrt{15}}{-6}\\x=\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]
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Solve the following inequalities and represent the solution on the number line.
d) 5x ≥ 15
e) 3(2x + 1) ≤ 15
d) 5x ≥ 15
Let's solve your inequality step-by-step.
5x≥15
Step 1: Divide both sides by 5.
[tex]\frac{5x}{5} \geq \frac{15}{5}[/tex]
[tex]x\geq 3[/tex]
(Attachment #1)
e) 3(2x + 1) ≤ 15
Let's solve your inequality step-by-step.
3(2x+1)≤15
Step 1: Simplify both sides of the inequality.
6x+3≤15
Step 2: Subtract 3 from both sides.
6x+3−3≤15−3
6x≤12
Step 3: Divide both sides by 6.
[tex]\frac{6x}{6} \leq \frac{12}{6}[/tex]
[tex]x\leq 2[/tex]
(Attachment #2)
Jeremy is reading a 60-page book. He read the first 20 pages in 30 minutes. If Jeremy continues to read a the same rate, how long will it take him to finish the book?
It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.
What is Ratio and Proportion ?When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .
It is given that
Jeremy is reading a 60-page book.
The time taken to read 20 pages is 30 minutes
Then it can be written as 20:30 = 2:3
The rate of reading is same so To read the rest 40 pages is given by
40:x
40: x = 2:3
40*3/2 = x
x = 60 minutes
Therefore it will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.
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1
2 3
4
5
6
7
8
9 10
Which set of angle measures could be the measures of the interior angles of a triangle?
O 90°, 42°, and 58°
O 60°, 60°, and 60°
O 100°, 48°, and 42°
O 31°, 75°, and 70°
TIME REMAI
42:34
Answer:
1) -
2) +
3) -
4) +
Step-by-step explanation:
сумма внутренних углов треугольника не должна превышать 180 градусов
Use the drawing tool(s) to form the correct answer on the number line.
Graph the solution to this inequality on the number line.
-4x+7>x-13
Answer:
Let's solve your inequality step-by-step.
−4x+7>x−13
Step 1: Subtract x from both sides.
−4x+7−x>x−13−x
−5x+7>−13
Step 2: Subtract 7 from both sides.
−5x+7−7>−13−7
−5x>−20
Step 3: Divide both sides by -5.
−5x/−5>−20/−5
x<4
Answer:
x<4
IMAGINE AN ARROW ABOVE THE NUMBERS
⇔
−7−6−5−4−3−2−1 0 1 2 3 4 5 6 7
4 is where the line is circled and the arrow is facing left
←Ф
like that
Answer:
x<4
Step-by-step explanation:
So you will put an open circle on positive 4 and a ray going to the left of the graph.
answer?........................
Answer:
x- intercept = - 1 , y- intercept = 2
Step-by-step explanation:
the x- intercept is the value of the x- coordinate where the curve crosses the x- axis , that is
x- intercept = - 1
the y- intercept is the value of the y- coordinate where the curve crosses the y- axis , that is
y- intercept = 2
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles x and y?
x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y
The correct answer is option C which is x = y.
What is the alternate interior angle?The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.
In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.
Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.
Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.
Therefore the correct answer is option C which is x = y.
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Suppose s and t are directly proportional. If s=14 when t=12, what is s when t=7 ?
Question 10(Multiple Choice Worth 1 points)
(04.02 LC)
Solve the system of equations using substitution.
y = -2x + 1
4x + 2y = -3
Answer:
no solutions
Step-by-step explanation:
[tex]4x + 2(-2x+1) = -3\\4x-4x+2 = -3\\2 = -3\\[/tex]
this means there are no solutions.
20.
(05.07 MC)
A scatter plot is made to model the amount of money left to pay on a mortgage. The data used for the scatter plot are shown in the table:
Number of Months 3 5 1 2 0 4
Money Owed $114,000 $100,000 $118,000 $116,000 $120,000 $112,000
What does the y-intercept of the model represent? (1 point)
The amount of the mortgage that has been paid that month
The monthly payments
The original amount of the mortgage
The number of months it takes to pay off the mortgage
Option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
As we know the line of best is represented by:
y = mx + c
Here m is the slope and c is the y-intercept.
A scatter plot is made to model the amount of money left to pay on a mortgage.
Every month that passes, the amount left to pay decreases.
Plug x = 0 to get the y-intercept
y = c
The y-intercept representing the original amount of the mortgage.
Thus, option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.
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Find the area of a cylinder of radius 4 cm and height 5 cm
Answer:
226.19cm^2
Step-by-step explanation:
Total surface area of cylinder = 2πr(r + h).
please help and answer it in a sentence :)
Answer:
x = $1 & y = $2.
Each doughnut cost $1 and hot chocolate cost $2.
The sides of the base of a right square pyramid are 10 feet long. The slant height is 15 feet. When the side lengths of the base and the slant height are both multiplied by a factor of 4, by what factor is the surface area multiplied?
The surface area is multiplied by a factor of 16
How to determine the factor of the surface area?The dimensions are given as:
Base = 10 feetSlant height = 15 feetFactor, k = 4The factor of the surface area is calculated as:
Surface area = Factor^2
So, we have:
Surface area = 4^2
Evaluate
Surface area = 16
Hence, the surface area is multiplied by a factor of 16
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16
Step-by-step explanation:
Lillian went shopping for a new phone because of a sale. The price on the tag was $20, but Lillian paid $16 before tax. Find the percent discount.pls help
Answer:
20 % discount
Step-by-step explanation:
Lilian got 4 dollars off of the original price (20 - 16 = 4 )
4 / 20 * 100% = 20% off
The percentage of discount that Lillian gets because of sale is 20%.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The price of phone on tag = $20.
Lillian paid for phone = $16.
To find the percent discount on phone,
First find amount of discount = 20 - 16 = $4.
The percentage of discount = (4 / 20) x 100 = 20 %
Lillian gets 20% discount on new mobile.
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Sara wants to find the input value that produces the same output for the functions represented by the tables.
A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?
–2
–1
1
2
The input value that produces the same output value in both charts is 2. so the correct answer is option D.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
You are given two functions f (x) = -0.5X +2 and g(x) = 2x - 3
x f(x)
-3 3.5
-2 3
-1 2.5
0 2
1 1.5
2 1
3 0.5
The second table is given below:-
x g(x)
-3
-2
-1
0
1
2
3
We will put the points and will find the value of functions:-
g(-3) = 2(-3) - 3 = -6 -3 = -9
g(-2) = 2 -(-2) -3 = -7
g(-1) = 2( -1) -3 = -3
g(0) = 2 - 0 - 3 = -3
g(1) = 2.1 - 3 = -1
g(2) = 2.2 -3 = 1
g(3) = 2.3 -3 = 3
Hence the second table will be
x g(x)
-3 -9
-2 -7
-1 -5
0 -3
1 -1
2 1
3 3
The input value that produces the same output value in both charts is 2.
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