Answer:
55.2 miles
Step-by-step explanation:
6.9 x 8 = 55.2
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Which describes the graph of y= (x+3)^2 - 4?
A. Opens down with a vertex at (3,-4)
B. Opens up with a vertex at (-3,-4)
C. Opens down with a vertex at (-3, -4)
D. Opens up with a vertex at (3, -4)
Answer:
Hi! The answer to your question is B. Opens up with a vertex at (-3,-4)
Step-by-step explanation:
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Which of the following polynomials is in standard form?
z10-5z-6z2+z3
-4+z15+z5-z3
z5-2z4+z2-4z
z5+z15-z3-4
Answer:
running a two year contract is the best i have to do with my life in this world and it has a great way to go through the
Answer:
The 2nd one
Step-by-step explanation:
Find the distance between (3,4) and (2,2)
The distance between the given 2 points is √5 which is 2.2360 units.
What is the distance?Distance is a numerical or qualitative measurement of how far apart two objects or points are. Distance may refer to a physical length or an estimate based on other criteria in physics or everyday usage.So, the distance formula: d = √((x₂ – x₁)² + (y₂ – y₁)²)
Substitute values in the distance formula as follows:
d = √((x₂ – x₁)² + (y₂ – y₁)²)d = √((2 – 3)² + (2 – 4)²)d = √((-1)² + (-2)²)d = √(1) + (4)d = √5√5 = 2.2360Therefore, the distance between the given 2 points is √5 which is 2.2360 units.
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PLEASE HELP!
A poll is given, showing 45% are in favor of a new building project.
If 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?
The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.
This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.
The probability of having exactly k people who favor the new building project out of 4 is given by:
P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)
where (4 choose k) is the binomial coefficient.
To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:
P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)
= 0.290384375
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During the year ? , spending reached $2800 per household
Solution:
The function that models average annual expenditures per household, in dollars.
\(f(x)=2577e^{0.0359x}\)Where x represents the year, where x = 0 corresponds to 2003.
\(\begin{gathered} x=0..........2003 \\ \\ x=1...........2004 \\ \\ x=2.............2005 \\ \\ x=3.............2006 \\ \\ x=4..............2007 \\ \\ x=5..............2008 \end{gathered}\)Thus;
\(\begin{gathered} f(5)=2577e^{0.0359(5)} \\ \\ f(5)=3083.69 \\ \\ f(5)\approx3084 \end{gathered}\)ANSWER: $3084
(b)
\(\begin{gathered} f(x)=2800 \\ \\ 2800=2577e^{0.0359x} \\ \\ \frac{2800}{2577}=\frac{2577e^{0.0359x}}{2577} \\ \\ 1.0865=e^{0.0359x} \\ \\ \text{ Take the logarithm of both sides;} \\ \\ \ln(1.0865)=\ln(e^{0.0359x}) \\ \\ 0.0830=0.0359x \\ \\ \frac{0.0830}{0.0359}=\frac{0.0359x}{0.0359} \\ \\ x=2.31 \\ \\ x\approx2 \end{gathered}\)The annual spending reached $2800 per household during the year 2005.
Tanner and his friends are having a competition to see who can jump the
farthest. This list shows how far each kid jumped
Find the range of the graphed function.10-1010-107O A. ys 0B. -10 sys0C. yis all real numbers.OD. -6 sys9
Answer: Alternative D
Step-by-step explanation:
The range of a function is the set of the output values, in this case, y.
As we can see in the graph, when x= -10, y=-6 and when x = 0, y = 9. Also,
Help meeeeeeeeeeeeeeeeeeee
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14
Conside the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
1) As the inequality is:
\(-\frac{202}{10}>0y\)2) And examining the options, we can state that:
You cannot divide by zero
Since this is a mathematical undefinition, to have zero as the bottom number
Each day, you run on a treadmill for $r$ minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
maurice has 20 strips of leather that are each 4 1/2 feet long. maurice wants to punch holes in each strip of leather that are 3/8 of a foot apart. maurice will use the expression shown to determine the number of hles to punch in each strip of leather.
4 1/2 ÷3/8
which expression will also give the number of holes that maurice will punch into each strip of leather?
2/9 ÷8/3
2/9÷3\8
9/2 . 8/3
9/2 . 3/8
Answer:
A
Step-by-step explanation:
Answer:
9/2 . 8/3
Step-by-step explanation: Both equations equal 12
What is the meaning of "a permutation of 1, 2, ..., n is a bijection of { 1, 2, ..., n } onto { 1, 2, ..., n }"?
The permutation is a bijective function because it is both a one-one and an onto function.
What is meant by permutation?A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. Here, the components of sets are arranged in a linear or sequential order.
The bijective function is both a one-one function and an onto function.
One-one function means that for every value of the domain, there is only one value of the range. This means that an output value never repeats.
An element x is mapped to each element y by the function f known as the onto function. In other words, there is an x for every y such that:
f(x) = y
Now we have to prove why permutation is defined as bijective.
The permutation is basically an arrangement of elements.
So for the new arrangement, at one position there is only one element.
So it is one-one.
Also, we are using the given number of elements. we are just changing its positions. So every element in the co-domain is mapped to at least one element in the domain. Also, the co-domain is the range.
So it is onto function.
Therefore the permutation is a bijective function because it is both one-one and onto function.
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the figure below is cut into 20 equal parts. Shade 40% of the figure
Answer:
The amount you would shade is 8 sections.
Step-by-step explanation:
If you turned this to 200% so that it is near the number of the 20 then it would be 80% of the sections shaded.
a sugar dud has 30 less than twice as many calories as a krunchy krum if 5 sugar duds have the same number of calories as 8 krunchy krums how many calories are in each
Answer:
Step-by-step explanation:
8k, s = 8k/5, k = 5s/8 s = 2k - 30 s = 2 (5s/8) - 30
s=2k - 30
5s = 8k
5*(2k -30) = 8k
10k - 150 = 8k
2k = 150
k = 75, the number of calories in a krunchy krum. this makes s = 120 calories for a sugar dud
rewrite 3/35 and 1/10 so they have common denominators
Answer:
\(\frac{6}{70}\) and \(\frac{7}{70}\)
Step-by-step explanation:
The LCM of 35 and 10 is 70.
35×2=70
10×7=70
You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.
Directions - Find the sector areas of both the grey and white areas:
*Use 3.14 in place of
285⁰
8 in
in²
in
(round to two decimal places)
(round to two decimal places)
E
The sector areas of the grey and white areas are 159.09 in² and 41.87 in²
Finding the sector areas of the grey and white areas:From the question, we have the following parameters that can be used in our computation:
Radius, r = 8 inchesCentral angle,= 45 degreesThe area of shaded sector is calculated as
Area = Central angle/360 * π * Radius^2
Substitute the known values in the above equation, so, we have the following representation
Gray = 285/360 * 3.14 * 8^2 = 159.09White = (360 -285)/360 * 3.14 * 8^2 = 41.87Hence, the area is 159.09
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The radius of a circle is 6 feet. What is the area of a sector bounded by a 45° arc?
Step-by-step explanation:
r =6
sector =45°
R=6×45÷360
=0.75cm
Answer:
the sector bounded by 45 degrees arc is 70.56
I think
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
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Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
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Pedro look out a 4-year loan for $32,500 to help pay his college tuition. He has to pay 4% simple interest on the loan. How much interest will Pedro have to pay?
The interest Pedro will have to pay is $5200
Calculating how much interest will Pedro have to pay?From the question, we have the following parameters that can be used in our computation:
Principal = $32.500
Rate = 4% simple interest
Time = 4 years
The formula of simple iinterest is
I = Principal * Rate * Time
substitute the known values in the above equation, so, we have the following representation
I = 32500 * 4% * 4
Evaluate
I = 5200
Hence, Pedro have to pay $5200 as interest
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linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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Your friend has a bag of yellow and purple candy. He wants to use them to play a game with you.
Purple is worth 2 points and yellow is worth three points. Pick 9 candies from the bag
Create a system of equations where the combination of the candies gives you a total of 22 points. Make sure you label and define your variables.
The system of equations where the combination of the candies gives you a total of 22 points are:
x + y = 9
2x + 3y = 22
How can we create system of equations?To create the equations, we shall first define the variables:
x = the number of purple candies
y = the number of yellow candies
Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.
Then, we would make sure that the total number of candies selected is 9.
The first equation represents the total number of candies selected:
x + y = 9
The second equation represents the total number of points obtained:
2x + 3y = 22
Therefore, the system of equations is:
x + y = 9
2x + 3y = 22
This is a system of linear equations.
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15 POINTS HELP!!!
Al and Tim each have rectangular wooden decks on their homes. Al’s deck is 4 feet wide and has an area of 60 x+40 ft². Tim’s deck is 7 feet wide and has an area of 21x+14 ft². Determine an expression for the length of each deck. How many times the length of Tim's deck is Al’s deck?
The length of Tim's deck is 1/15th of the length of Al's deck.
Finding the expressions for the length of each deck.
For Al's deck:
Area of a rectangle = length × width
60x + 40 = length × 4
length = (60x + 40) / 4
length = 15x + 10 ft
For Tim's deck:
Area of a rectangle = length × width
21x + 14 = length × 7
length = (21x + 14) / 7
length = 3x + 2 ft
Now we can find no. of times the length of Tim's deck is Al's deck by dividing the length of Al's deck by the length of Tim's deck:
(15x + 10) / (3x + 2)
Simplifying this expression:
(3(5x + 3) + 1) / (3x + 2)
(3(5x + 3) / (3x + 2)) + (1 / (3x + 2))
15 + (1 / (3x + 2))
Therefore, the length of Tim's deck is 1/15th of the length of Al's deck.
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During the regular baseball season, Don was at bat 450 times and had 125 hits. What is the ratio of his number of hits to the number of times he was at bat? *
Answer:
Step-by-step explanation:
Find the distance between the points P and Q shown.
The distance between points P and Q is √73
How to find the distance between the two points?First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:
distance = √( (a - c)² + (b - d)²)
Here we can see that the coordinates of the two shown points are:
P = (-3, 2)
Q = (5, -1)
Replacing that in the distance formula we will get:
distance = √( (-3 - 5)² + (2 + 1)²)
distance = √( (-8)² + (3)²)
distance = √73
So the correct option is the third one.
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what is Bethany's score on the test if she answered 23 out of 30 right?
part:
whole:
percent:
Answer: 76.67%
Step-by-step explanation:
A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x
The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²
What is an Equations?Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
N(x) = 625 + 2.5x
The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:
R(x) = (625 + 2.5x)(400 - x)
Simplifying the expression, we get:
R(x) = 250000 + 375x - 2.5x²
Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:
R(x) = 250000 + 375x - 2.5x²
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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
3/4 11/12 5/3
multiply the actual length by the scale:
9 x 1/12 = 9/12 = 3/4
Answer: 3/4
what is B? b-1/4=3 1/2
Answer:
hello! :) have a good day!
Exact Form:
b =15/4
Decimal Form:
b =3.75
Mixed Number Form:
b =3 3/4
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?
Answer:
\(B'(x,y) = (0,-2)\)
Step-by-step explanation:
Given
The attached grid
Translation rule: \((x,y) = (x + 5, y - 2)\)
Required
Determine the coordinates of B'
First, we have to write out the coordinates of B
\(B(x,y) = (-5,0)\)
Next is to apply the translation rule \((x,y) = (x + 5, y - 2)\)
\(B(x,y) = (-5,0)\) becomes
\(B'(x,y) = B(x+5,y-2)\)
Substitute -5 for x and 0 for y
\(B'(x,y) = (-5+5,0-2)\)
\(B'(x,y) = (0,-2)\)
write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2
Answer:
Step-by-step explanation:
Point: 10,-9
k=-2
y=-2x+b
So: 9, -7
8,-5
7,-3
6,-1
5,1
4,3
3,5
2,7
1,9
0,11
y=-2x+11
Answer:
y + 9 = - 2(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 2 and (a, b ) = (10, - 9 ) , then
y - (- 9) = - 2(x - 10) , that is
y + 9 = - 2(x - 10)