Answer:
1 - $15
2- $30
3 - $45
4 - $60
Step-by-step explanation:
$15/hour
1 - $15 =1*15
2- $30 =2*15
3 - $45 =3*15
4 - $60=4*15
Solve for c.
4(c + 17) = 16
C =
Please help
what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form
Answer:
-2
Step-by-step explanation:
we use the y2-y1/x2-x1 fomrula to find slope
14-8/7-10
6/-3
-2 is the slope
hopes this helps
on the number line, the distance between x and y is greater than the distance between x and z. does z lie between x and y on the number line?
yes, z can lie between x and y but z can also lie on another side of x in Number lines.
With an example, define number line?
Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.
A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.
What does the math number line mean?
A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.
How a number is used—for example, to plot a point—depends on the question that goes with it.
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Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
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rotation 90 degrees counterclockwise about the origin
As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).
What is the cartesian plane?The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.
What are the quadrants?Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.
Given:
The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)
Angle of rotation = 90° about the origin
According to the question, let's take our start point as A(x, y)
So, A( x, y) will lie in the first quadrant.
After 90° rotation about the origin A' will lies in fourth quadrant.
As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).
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What is 213 divided? Also how do you break 23 into tens and ones?
Answer:
What is 213 divided? 2 I think
Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones
PLEASE HELP URGENT WITH 4 AND 6
The solution is
a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01
b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125
The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96
What is Compound Interest?
Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the principal be P = amount after first period = $ 402
Now , the rate of interest r = 6 %
The compound interest is calculated by compounding monthly
Now , the interest for the second period = ( PRT / 100 x 12 )
Substituting the values in the equation , we get
The interest for the second period = ( 402 x 6 x 1 ) / 1200
The interest for the second period = $ 2.01
The amount after the second period = amount after first period + interest for the second period
The amount after the second period = 402 + 2.01
The amount after the second period = $ 404.01
b)
Let the principal be P = $ 18260
The rate of interest r = 2.5 %
The compound interest is calculated by compounding quarterly
Now , the interest for the first period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the first period = ( 18260 x 2.5 ) / 400
The interest for the first period = 45650 / 400
The interest for the first period = $ 114.125
The amount for the first period = 18260 + 114.125
The amount for the first period = $ 18,374.125
Now , the principal for the second period = interest + amount of first period
The principal for the second period = $ 18,374.125
The rate of interest = 2.5 %
The interest for the second period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the second period = ( 18374.125 x 2.5 ) / 400
The interest for the second period = 45935.3125 / 400
The interest for the second period = $ 114.83828125
The amount for the second period = 18,374.125+ 114.84
The amount for the second period = $ 18,488.96
Hence , the amount and interest is calculated
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Find the y intercept y = – 17 x + 12.
Answer: 12
Step-by-step explanation:
The y-intercept in the equation that is in slope-intercept form is the constant.
Simplify 4x - 7 + 12x - 3.
Answer:2(8x-5)
Hope this helps!
If EF = 71, FD = 80, ED = 74, IG = 40, and HG = 37, find the perimeter
of AGHI. Round your answer to the nearest tenth if necessary.
The perimeter of the object is the sum of the lengths of all the sides
which is 302 units.
What is the perimeter?Perimeter is the sum of the lengths of all the sides of a planar two-dimensional figure.
In the case of a circle, we call it perimeter circumference it is the distance around the circle.
Given, A figure has side lengths EF = 71, FD = 80, ED = 74, IG = 40, and
HG = 37.
Now the perimeter of this figure is the sum of the lengths of all the sides which is,
= (EF + FD + ED + IG + HG).
= (71 + 80 + 74 + 40 + 37).
= 302 units.
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Consider the line -8x -6y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
What is the slope of a line?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. As opposed to the net change in the x coordinate, the net change in the y coordinate is y.
y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
A line's slope is a measurement of how steep it is or the direction it is going in relation to a coordinate system.
where m is the slope and m = y/x
Take notice that tanФ = y/x.
This tanФ is often referred to as the line's slope.
Calculation:The given equation is of the form [tex]ax+by=c[/tex]
On comparing we can say that a is -8 and b is -6
So using the slope formula [tex]\frac{-A}{B}[/tex] we get slope as [tex]\frac{4}{-3}[/tex]
The perpendicular line slope can be found out by equation [tex]m1.m2=-1[/tex]
Therefore substituting slope from the above as m1 we get m2 = [tex]\frac{3}{4}[/tex]
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
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read the picture plsss
Answer:
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x 2 + 2 x + 16 = 0
Answer:
Step-by-step explanation:
[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]
The solution does not exist because all numbers squared are greater than zero.
what is the value of 18 to the third power
Answer:
5832
Step-by-step explanation:
How would i solve for E
Answer:
5/13
Step-by-step explanation:
[tex]CE=\sqrt{10^2 + 24^2}=26 \\ \\ \cos E=\frac{10}{26}=\frac{5}{13}[/tex]
Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?
Answer: 15/16 hour
Step-by-step explanation:
Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12
Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.
Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.
What is Slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two distinct points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
According to our question-
the points are given as
(x1,y1)=0,-5
(x2,y2)=-3,4
m = y2-y2/x2-x2
Hence, the line's equation is - 3x - 5.
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If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?
Answer:
Below
Step-by-step explanation:
To complete the square, the coefficient of x^2 must be 1 ( it is already)
then take 1/2 of the x coefficient .... 1/2.... square it and add it to both sides of the equation
x^2 + x + 1/4 + 9 = 1/4
then you can reduce this to
( x+ 1/2)^2 + 9 = 1/4 for further 'solving'
Seven days a year, Tiger Stadium becomes the fifth largest city in the state of Louisiana. Over 92,000 fans pack the stadium to watch the Tigers play. After the game, if the fans leave at a rate of 10% per minute, how long will it take before the stadium is half empty?
It will take 5 minutes before the stadium is half empty
Given that:
Over 92,000 fans pack the stadium to watch the Tigers play
The fans leave at a rate of 10% per minute
The number of fans that leave per minute will be:
10% of 92,000 = 10/100 × 92, 000 = 9,200
The stadium will be fully empty in:
time = 92,000/9,200 = 10 minutes
The stadium will be half empty in:
time = 10 minutes / 2 = 5 minutes
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if w denotes weight, n denotes number of items, m denotes maximum capacity constraint, and x =0 or 1, what would be the valid bounding condition/conditions for the sum of the subset problem?
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
The valid bounding condition for the sum of the subset problem is:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).
The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
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Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
4. 8 friends are lining up to get in to see the Hunger Games: Catching Fire movie,
including Bob and Sam
A) What is the probability that Bob and Sam will be next to each other.
Answer:
1/64
Step-by-step explanation:
1/8 x 1/8 = 1/64
Please reply urgent I need it now
step by step
Answer:
x ≥ 5
Step-by-step explanation:
5 + 2 (2x - 3) ≥ 3x + 4
5 + 4x - 6 ≥ 3x + 4
-1 + 4x ≥ 3x + 4
4x ≥ 3x + 5
x ≥ 5
Find the sum of 5.21 × 1019 and 3.149 × 1017.
A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036
Answer:
B
Step-by-step explanation:
5.21 x 10^19 + 3.149 x 10^17
10^17(5.21 x 10^2 + 3.149)
10^17(521 + 3.149)
10^17(524.149)
5.24149 x 10^17 x 10^2
5.24149 x 10^(17+2)
5.24149 x 10^19
Answer: b. 5.24149 × 1019
Step-by-step explanation: I took the test
Tabatha and Horatio each leave their separate houses and drive to a restaurant to meet for dinner. Tabatha lives 15 miles from the restaurant, and she drives at a rate of 3 miles every 2 minutes. The graph represents Horatio’s distance, in miles, y, from the restaurant after driving for x minutes.
Tabatha drives 1/12 mile more per minute than Horatio drives.
Tabatha drives 1/6 mile more per minute than Horatio drives
Tabatha drives 3 miles more per minute than Horatio drives.
Tabatha drives 9 miles more per minute than Horatio drives.
Answer:
Tabatha drives 1/6 mile more per minute than Horatio drives
Step-by-step explanation:
how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
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x^4-2x^2-16x-15=0 find the zeros with work please
ANSWER : -1 , 3 , (-1 - 2i) , (-1 + 2i)
steps
find the zeros JUST MEANS SOLVE FOR X
x⁴-2x²-16x-15=0
break it up
let u = x²
x⁴ = (x²)² = u²
-16x+u²-2u-15=0
hold off on -16x
u²-2u-15=0
what 2 numbers when multiplied give you -15 & when added give you -2?
-5 and 3
(u-5) (u+3)
-16x + (u-5) (u+3) = 0
go back x
-16x + (x²-5) (x²+3) = 0
factor -1 out
( looks horrible so far lol )
-1 ((- x²+ 5) (x²+3) + 16x) = 0
multiply (- x²+ 5) with ( x² + 3 )
-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0
-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0
-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0
-1 (( - x² * x² + -x² * 3 ) + 5x² + 15 ) + 16x ) = 0
-1 (( - x⁴ + -2x² + 15 ) + 16x ) = 0
Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
Write an equation of the line that passes through the points.
4.(-3,0), (-2, 3)
5. (-6, 10), (6, -10)
4.
find slope;
3 - 0/-2 -(-3) = 3/1 = 3
y = 3x + b
0 = (3)(-3) + b
0 = -9 + b
b = 9
y = 3x + 9
