Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.
If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.
if 14 guests = $168,
1 guest = 168/14 = $12
so it will cost him $12 per guest he invites
Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:
59 × $12 = $708
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What is the rectangular form of 12(cos(π) + i sin(π))?
12
-12
12 + i
–12 + i
Answer:
12-12-12+i-12+i =0-i
.
.
.
,
On November 1st, Halloween costumes
were off their original price. If a bat
costume usually costs $28, how much
will it cost on November 1st?
$21.00
25% off 28= 7
28-7=21
Find the LCM of 2 and 3 using lists of multiples.
Answer:
Multiples of 2 = 2, 4, 6, 8, 10, 12
Multiples of 3 = 3, 6, 9, 12, 15,18
The LCM is 6.
Step-by-step explanation:
Piper invested $4,700 in an account paying an interest rate of 4. 8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?.
Assuming no deposits or withdrawals are made, the amount in the account after 19 years is: 11,454. 133.
How to find the amount in the account?Using this formula
A = P(1+r/100)ⁿ
Where:
A = Amount =?
P = Principal = $4700
r = Interest rate =4.8%
n = the number of periods =19 years
Let plug in the formula
A = 4,700 (1 + 4.8/100)¹⁹
A = 4,700 (1 + 0.048)¹⁹
A = 4,700 (1.048)¹⁹
A = $11,454. 133
Therefore the amount is $11,454. 133.
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Keilantra has a toy car collection of 400 toy cars. She keeps 268 of the toy cars on her wall. What percentage of Keilantra's toy car collection does she keep on her wall?
Answer:
67%
Step-by-step explanation:
[tex]\frac{268}{400}[/tex] X 100
Answer:
67%
Step-by-step explanation:
268 ÷ 400 = 0.67 = 67%
Type the missing number to complete the proportion.
14 seats in 2 rows = 7 seats in
rows
The missing number to complete the proportion is 1
How to find the missing number that completes the proportion?Proportion defines that the two given ratios are equivalent to each other. That is two ratios (or fractions) are equal e.g 2:6 = 1:3
Given: 14 seats in 2 rows = 7 seats in ___rows
If each row in a classroom has equal seats. If there are 14 seats in 2 rows of the classroom then we can say there are 7 seats in each row (1 row).
Thus, 14 seats in 2 rows = 7 seats in 1 row
Therefore, the missing number to complete the proportion is 1. You should type 1
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13)
A translation function is defined by the rule
(x, y) → (x + 2, y - 5). Which choice will be the
image of the point (3,6) under this translation?
The image of the point (3, 6) by means of the translation formula described in the statement is (5, 1).
What is the image of a point according to a translation formula?
Herein we find the coordinates of an ordered pair set on Cartesian plane, whose image has to be found by using a rigid transformation formula known as translation formula, whose definition is described and explained below:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Resulting point.T(x, y) - Translation vector.If we know that P(x, y) = (3, 6) and T(x, y) = (2, - 5), then the image of the original point according to the translation formula is now determined:
P'(x, y) = (3, 6) + (2, - 5)
P'(x, y) = (3 + 2, 6 - 5)
P'(x, y) = (5, 1)
The image of the point by translation formula is (5, 1).
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Lines J and k are perpendicular. The slope of line k is 3. Which equation is true?
If Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3
When two lines are perpendicular to each other, the product of their slope results in -1
slope of line j x slope of line k = -1
slope of line j x 3 = -1
slope of line j is 1/3
Therefore, if Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3
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9. Emily measured the depth of water in a bathtub at two-minute intervals after the tap was turned off and the
stopper released. The table shows her data.
a) Make a scatter plot for the data.
b) Describe the correlation of the scatter plot.
c) What will the approximate depth be at 15 seconds?
From the data in the table relating time and depth, we have that:
a) The scatter plot is graphed at the end of the answer.
b) The scatter plot has negative correlation.
c) The estimate for the depth at a time of 15 seconds is of 50.37 cm.
How to built the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following format:
(Time in seconds, Depth in cm).
Hence the scatter plot will be composed by a set of points, without an image, as is shown at the end of the answer.
The points from the table are listed as follows:
(2, 47), (4, 41), (6, 38), (8, 37), (10, 32), (12, 24), (14, 20), (16, 19).
As the input variable time increases, the output variable depth decreases, meaning that the points in the scatter plot also follow the format of a decreasing line, hence there is negative correlation in the scatter plot.
These points are also inserted into a linear regression calculator to built the line of best fit, which is defined as follows:
y = -2.07x + 50.89.
At 15 seconds, the estimate is obtained replacing the lone instance of x in the equation by 15, hence:
y = -2.07 x 0.25 + 50.89 = 50.37 cm.
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¿Cuál es la ecuación de la línea que pasa a través de los puntos A (1,2) y B (4,3)
Answer:
Step-by-step explanation:
(4-3)/(2-1= 1/1 = slope = 1
y =(1)x + b, plug in either point to solve for b
3 = 1 +b
b = 2
2 7 of the pupils in year 9 say their favourite colour is red. There are 119 pupils in year 9. How many students said red is their favourite colour?.
34 students red is their favorite color
2 out of 7 of the pupils in year 9 say their favourite colour is red
Fraction of pupil that say red is their favorite colour is 7/9
There are 119 pupils in year 9
We need to calculate the number of students out of 119 that would say that their favourite colour is red
To find that,
we multiply the fraction of students that like red with the total number of students
2/7 * 119
= 34
Therefore, if 2 out of 7 of the pupils in year 9 say their favourite colour is red. Then 34 out of 119 pupil will say that their favourite colour is red.
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2. which of these best describes a residual? a) it must be a number between 0 and 1 b) it must be positive c) it must be negative d) it must have both positive and negative values e) it represents a distance between observed and predicted values
it represents a distance between observed and predicted values
What is residual?
A residual in statistics is the discrepancy between an observed value and a value that was predicted.
Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.
For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.
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Write 8128 as the sum of consecutive odd cubes.
The sum of consecutive odd cubes of 8128 is 1³+3³+5³+7³+9³+11³+13³+15³
Therefore, 1+27+125+343+729+1331+2197+3375=8128
What are consecutive numbers?Consecutive numbers are those that come after each other in descending order from the smallest to the largest. The difference between consecutive numbers is always fixed and follows a predictable pattern. For example, the first three consecutive natural numbers are 1, 2, 3. The simplest way to find consecutive numbers is to look at the number set and find the number that is either before or after the term of interest.
We know that consecutive odd numbers are 1,3,5,7,9,11,13,15,17..
Here 8128 is a perfect square
And it can be written as the sum of consecutive odd cubes as follows:
1³=1
3³=27
5³=125
7³=343
9³=729
11³=1331
13³=2197
15³=3375
The sum of consecutive odd cubes of 8128 is
=1³+3³+5³+7³+9³+11³+13³+15³
=1+27+125+343+729+1331+2197+3375
=8128
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21. A basket holds n apples. You pick (2n - 3) apples, and your friend picks
(n+4) apples. How many apples do you and your friend pick together?
How many baskets do you need to carry all the apples? Justify your answer.
Answer:
21. A basket holds n apples. You pick (2n - 3) apples, and your friend picks
(n+4) apples. How many apples do you and your friend pick together?
How many baskets do you need to carry all the apples? Justify your answer.
Step-by-step explanation:
(2n - 3)(n + 4) binomial times a binomial equals
2n^2 + 5n - 12
The slope of the line below is -1/7. write a point slope equation of the line using the coordinates of the labeled point.
The equation of the line with slope -1/7 is (y-3) = -1/7(x-3).
According to the question,
We have the following information:
Slope of the line = -1/7
Points through which line is passing = (3,3)
We know that the following formula is used to find the equation of the line:
(y-y') = m(x-x') where m is the slope of the line
In this case, we have x' = 3 and y' = 3.
(y-3) = -1/7(x-3)
This expression can be solved further by multiplying -1/7 into the bracket and then by moving 3 from the left hand side to the right hand side. Then this equation will be in slope-intercept form.
Hence, the correct option is B.
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Find the zeros of the function. Enter the solutions from least to greatest. f(x)=(x-10)^2-49
The zeros of the function are-
lesser x = 3greater x = 7What is the definition of the zeros of the function?Any substitution for the variable in a function that results in a zero answer is known as the zero. The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.The given expression is-
f(x)=(x-10)^2-49
To find the zero put f(x) = 0.
(x-10)^2-49 = 0
Including both sides of an equation, add 49.
(x-10)^2 - 49 + 49 = 49
(x-10)^2 = 49
To remove the exponent upon that left side of the equation, take the appropriate root of both sides.
x - 10 = ±√49
x - 10 = ±7
Solve each case;
a: x - 10 = + 7
x = 7 + 10
x = 17 (greatest number)
b: x - 10 = - 7
x = -7 + 10
x = 3 (lesser value)
Thus, the zeros of the function are 3 and 17.
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Name two points collinear to point D.
The two points that are collinear with the point D are points A and B which are on the same plane, K, as the point D
What is collinearity?Collinearity of a set of points in geometry is the property of their being on a single line. A set of points with this property is known as a collinear set. In a broader sense, the term has been applied to aligned objects, that is, things that are "in a line" or "in a row."
If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are the points that lie on a single straight line.
Therefore, the points are A and B.
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Which of the following is an equivalent expression of 18x2 +14x + 7?
7(18x2 + 14x)
14x + 18x2 + 7
32x3 + 7
18x2(14x + 7)
NEED HELP ASAP
GIVING 20 POINTS!!!!!!
Answer:
I believe it's 18x2(14x + 7)
Step-by-step explanation:
I took the test :)
18x² + 14x + 7 ( may be expressed in any order )
= 14x +18x² + 7
a dog breeder is planning to buy more dog food. he makes a table showing how many pounds of food he will have after shopping the table is based on.how much he spends and how much food he already has which equation generates the table
The linear function that models the data-set is given as follows:
v = 4 + 0.4x.
What is a linear function?The slope-intercept representation of a linear function is presented as follows:
y = mx + b
The coefficients of the function and their meaning are obtained as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the output y of the function when the input variable x assumes a value of 0.For this problem, the values of these parameters are given as follows:
Slope of m = 0.4, as when the input increases by 20, the output increases by 8, hence m = 8/20 = 0.4.Intercept of b = 4, as when the input is of zero, the output is of 4.Hence the equation is given as follows:
v = 4 + 0.4x.
Missing InformationThe table is given by:
Money Spent (x) $0 $20 $40 $60
Pounds of Food (v) 4 12 20 28
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What is the volume of the cube that has 7.5cm?
22.5 cm³
56.25 cm³
168.75 cm²
7.5 cm
421.875 cm³
[tex]{ \boxed{ \orange{ \sf{421.875 \: {cm}^{3}}}}} [/tex]
Step-by-step explanation:-
[tex]{ \red{ \sf{Volume \: of \: the \: cube }}} = { \green{ \sf{ {a}^{3}}}} [/tex]
[tex]{ \red{ \sf{Volume \: of \: the \: cube } = }} \: \: { \green{ \sf{7.5 \times 7.5 \times 7.5}}}[/tex]
[tex]{ \red{ \sf{Volume \: of \: the \: cube = { \green{ \sf{56.25 \times 7.5}}}}}}[/tex]
[tex]{ \boxed{ \sf{Volume \: of \: the \: cube = 421.875 {cm}^{3}}}} [/tex]
Correct answer get's free 50 points
The correct statement regarding the solution of the inequality 8x - 6 < 3x + 19 is given as follows:
D. She knows that the solution must be either all the values less than 5 or all the values greater than 5.
What is the solution to the inequality?The inequality is presented as follows:
8x - 6 < 3x + 19.
Lin finds the value of x = 5 for which the two sides of the inequality are equal. Then, there are only two cases for the solution, which are listed as follows:
All values that are less than 5.All values that are greater than 5.Thus option D gives the correct option regarding how to find the solution.
The justifications for the other options being wrong are given as follows:
Options A, C and D: an inequality gives a range of values as a solution, not a single value, hence substituting the value on the inequality you verify if the value is a solution, but you do not solve, that is, you do not find all the values that are solutions to the inequality.Option E: The inequality is an open inequality, meaning that x = 5 is not a solution to the inequality.More can be learned about inequalities at https://brainly.com/question/25275758
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Answer:
I think its D.... id/k I think it is.
Step-by-step explanation:
Other than itself, which angle is congruent to ∠DEA?
Please help!!!
Answer:
Angle CEB
Step-by-step explanation:
They are vertical angles
:]
In a certain city, the percent of children under
18
year of age who lived with both parent wa
49. 2
%
,
the percent of children under 18 year of age who lived only with their father wa
8. 0
%
,
and the percent of children under
18
year of age who lived with neither parent wa
3. 5
%. What wa the percent of children under
18
year of age who lived with their mother only?
As per given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.
As given in the question,
Let us consider 100% be the total percent representing the living status of children under 18 years of age
Given:
Percent of children living with both the parents = 49.2%
Percent of children living with only father = 8%
Percent of children living with neither of the parents = 3.5%
Let us consider percent of children living with only mother = x%
Required equation is:
( x + 49.2 + 8 + 3.5 )% = 100%
⇒ x + 60.7% = 100%
⇒ x = 100 - 60.7
⇒ x = 39.3%
Therefore, for the given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.
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Solve for x: 13 < -5x + 8 < 23
Answer: x∈(-3,-1)
Step-by-step explanation:
13<-5x+8<23
13-8<-5x+8-8<23-8
5<-5x<15
Divide the double inequality by 5:
1<-x<3
Multiply the double inequality by -1:
-1>x>-3
Thus, x∈(-3,-1)
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278
The uniform distributed between a and b minutes.
The probability of finding a value above x is:
P(X > x) = [tex]\frac{b-x}{b-a}[/tex]
The time is evenly distributed between 0 and 9 minutes.
This implies that a=0 , b=9
Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.
p(X > 4.25) = [tex]\frac{9-4.25}{9-0}[/tex]
= 0.5278
There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.
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13. At Greenville High School 1/3 of the students
are involved in sports. Of the students
involved in sports 20% play football. If there
are 3,000 students at the school, how
many play football? (Example 5)
Out of 3000 students at the school , 200 student plays foot ball .
In the question ,
it is given that ,
fraction of students that are involved in sports at Greenville High School = 1/3 of total students ,
percent of students that plays football = 20% of sports students .
given that the total number of students present at the school = 3000
So , the number of students involved in sports = (1/3) × 3000
= 1000
number of students who plays football = 20% of 1000
= 0.20 × 1000 ....because 20% = 0.20
= 200
Therefore , Out of 3000 students at the school , 200 student plays foot ball .
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2.025 as a mixed number
There are 5 player on a baketball team. In a game 4 player cored 6 point each. The team cored a Tell how to make ene of the problem total of 34 point. How many point did the other player core?
Points scored by the last player is 10 points. this can be calculated by using BODMAS rule by forming equation.
What is an equation ?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Main body:
Points scored by 4 players = 6 each
Total points scored by 4 players = 4*6
= 24
Total points scored by team = 34
Points scored by last player or 5th player = total points - points scored by 4 players
Points scored by 5th player = 34-24
= 10
Hence point scored by last player is 10.
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Solve for x
-3/x+7 = 8/x-4
Answer: x= 1
Step-by-step explanation:
determine the domain and range of the function.
Answer:
Domain: {-1,0,1,4}
Range: {3,5,35}
Step-by-step explanation:
The domain is the set of x values while range is the set of y values
Here, the set of x values would be -1 , 0 , 1 and 4
And the y values would be 5, 3, 5, and 35
When writing the domain and range, you put the values into brackets "{}" and put them in order from least to greatest. Also if there are repeated values you do not repeat them, you only put them once.
This means that the domain would be {-1,0,1,4}
And the range would be {3,5,35}