The rate of change from 2015 to 2017 is -$250
The amount he spend for lunch in 2015 = $800
The amount he spend for lunch in 2017 = $300
Therefore the total change = The amount he spend for lunch in 2017 - The amount he spend for lunch in 2015
Substitute the values in the equation
= 300 - 800
= -500
The total years from 2015 to 2017 = 2 years
The rate of change from 2015 to 2017 = The total change / The total years from 2015 to 2017
= -500 / 2
= -$250
Hence, the rate of change from 2015 to 2017 is -$250
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HELP ASAP : -7/8= -1/6 - 3/10x enter your question as a mixed number in the simplest form
Answer:
125/36 = 3 17/36
Step-by-step explanation:
determine if the order pair (-4,5) is a solution of the given linear equation -2x -3 write or no as your final answer
please help
Yes ordered pair (-4,5 ) is a solution to this linear equation
What is linear equation?
If an equation is expressed as axe + by + c=0, where a, b, and c are real integers and x and y's coefficients, it is said to be a linear equation in two variables.
Main body:
According to question:
y = -2x-3
point = (-4,5)
so as to find whether this point satisfies the equation or not, we need to put the value of any variable and check whether other value holds true or not.
Now substituting x= -4 in the given equation
⇒ y = -2(-4) -3
⇒y 8-3
⇒y= 5
which is given in the ordered pair
hence (-4,5) are a solution to this equation.
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Please help!! (Click on the pic!)
Answer:
[tex]160\sqrt{3}[/tex]
Step-by-step explanation:
Step 1: Know what the question is asking
product ⇒ means to multiplyStep 2: Set up the problem
[tex](8\sqrt{8} )(5\sqrt{24} )[/tex]*Note: Multiplication is commutative ⇒ order doesn't matter, terms can be rearranged and the answer remains the same[tex]8*\sqrt{8} *5*\sqrt{24}[/tex][tex]8*5*\sqrt{8} *\sqrt{24}[/tex][tex]40*\sqrt{8} *\sqrt{24}[/tex]*Note: It is easier to further simplify by simplifying the square roots before multiplying them together.[tex]40*\sqrt{8} *\sqrt{24}[/tex][tex]40*\sqrt{4} *\sqrt{2} *\sqrt{4} *\sqrt{6}[/tex][tex]40*2*\sqrt{2} *2*\sqrt{6}[/tex][tex]40*2*2*\sqrt{2} *\sqrt{6}[/tex][tex]40*4*\sqrt{2} *\sqrt{6}[/tex][tex]80*\sqrt{12}[/tex][tex]80*\sqrt{4} *\sqrt{3}[/tex][tex]80*2*\sqrt{3}[/tex][tex]160\sqrt{3}[/tex]Anyone know the slope of this line
Choices are
A. 2
B. 1
C. 1/2
D. 2/3
E. 3/1
Answer: 3
Step-by-step explanation: The dot or the point/exponent lands on 3/1 simplifying as 3
factor -2.8 out of -16.8m - 11.2
Answer:
I would likely consider the answer is 15.68(3m+2)
But I need more info about the question if so.
A round fountain has a radius of 86cm. What is the circumstance of the fountain, in meters?
Answer:
The circumference of any circle is 2πr, where r is the radius.
Step-by-step explanation:
Rachel paid 46 in tax for the money he earned a a camp counelor. How much money did rachel earn
Rachel earned an amount of $ 920
Given in the question,
5% × n = $46
5/100 × n = $46
0.05 × n =$46
0.05/0.05 × n = 46/0.05
Hence the amount is n = $920
Income that is earned comes under total earnings after taxes are deducted which one has already paid. Some of the income which is earned can include union strike benefits, specific retirement pensions, and long-term disability benefits. An expense that is removed or subtracted from the income of the person who is paying the taxes in order to lower the income which is earned by the person so that it is subjected to lower tax subtraction is known as deduction.
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6xy=54
answer and working please
Answer: y=0 x =9/y
Step-by-step explanation:
Amina has a bag of 6 black balls and 4 green balls. Hamad has a bag of 3 black balls and 5 green balls. If one ball is drawn from each bag, what is the probability that one is black and one is green?
Amina has a bag of 6 black balls and 4 green balls. Hamad has a bag of 3 black balls and 5 green balls. If one ball is drawn from each bag, the probability that one is black and one is green is 0.525.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely is that a proposition is true.
Amina has a bag of 6 black balls (B1) and 4 green balls (G1).
Hamad has a bag of 3 black balls (B2) and 5 green balls (G2).
∴ Probability of getting one black and one green ball
= B1G2 + G1B2
= 6/10 × 5/8 + 4/10 × 3/8
= 30/80 + 12/80
= 0.525
If one ball is drawn from each bag, the probability of getting one black and one green ball is 0.525.
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The probability of getting one black and one green ball if one ball is drawn from each bag is 0.525.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Amina has 6 black balls and 4 green balls in her bag. Hamad has three black balls and five green balls in his bag.
Amina has 6 black balls (B1) and 4 green balls in her bag (G1).
Hamad has 3 black balls (B2) and 5 green balls in his bag (G2).
So, the probability of receiving one black and one green ball:
= B1G2 + G1B2
= 6/10 × 5/8 + 4/10 × 3/8
= 30/80 + 12/80
= 0.525
Therefore, the required probability is 0.525 that one is black and one is green.
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Evaluate the expression when c= 1/4 and d= 2/4. 3 (1/4 + c) + 2d
The answer of above expression is
5/2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given,
c=1 / 4 and d=2/4
put the value of c and d in above expression 3(1/4 + c) +2d
3(1/4 + 1/4 ) +2(2/4)
3(2/4) + 1
3(1/2) + 1
(3+2)/2
5/25
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If you earn $560 for working 20 hours during the week. How much did you earn
per hour?
$560
$30
$20
$10
For questions 18-20, if l Il m, find the values of x and y.
Step-by-step explanation:
18x + 20y= 38
38xy = 38
xy = 38/38
where x and y = 1
Which expression is equal to (8-3i) - (6 + i)?
14-2i
14-4i
2-2i
2-4i
Answer:
2-4i
Step-by-step explanation:
(8-3i)-(6+i)
distribute right side: 8-3i-6-i
8-6: 2-3i-i
So 2-4i
Answer:
2 - 4i
Step-by-step explanation:
Given expression:
[tex](8 - 3i) - (6 + i)[/tex]
Apply the distributive law: -(a + b) = -a - b
[tex]\implies 8 - 3i - 6 -i[/tex]
Collect the real part and imaginary part of the complex number:
[tex]\implies 8 -6- 3i -i[/tex]
Simplify:
[tex]\implies 2-4i[/tex]
(algebra)
Jane and Nina live 480 miles apart. Wanting to surprise each other, they happened to start driving at the same time, and they met 3 hours later. If Nina’s speed was 10 mph faster than Jane’s speed, what was Jane’s speed?
a) 70 mph
b) 75 mph
c) 80 mph
d) 85 mph
e) 90 mph
So, I’m pretty sure the equation will look something like this
10x + 10(x-4) = 1,000
But don’t quote me on that.
An equation is shown.
23x = 24
What value of x makes the equation true?
Answer:
all of them are right answers
[tex]x = \frac{24}{23 \\ } [/tex]
or
[tex]x = 1.04[/tex]
or
[tex]x = 1 \frac{1}{23} [/tex]
Please help I don’t understand this
Answer: answer is -1
Lacy uses 1 1/2 cups of flour and 1/2 cup of applesauce for one batch of muffins. She makes 2 1/2 batches of muffins. How many
cups of flour does Lacy use in all?
9 7 59 families are asked whether they have a cat (C) or a dog (D). 26 only have a cat. 14 only have a dog. 11 have both a cat and a dog. (a) Show this information on the Venn diagram. ● ● E C D (b) (i) How many of the families do not have a cat or a dog? (b)(i) D (ii) Write your answer in the correct place on the Venn diagram. (c) One of the families is chosen at random. Write down the probability that they have a dog.
8 families do not have cat or dog. And the probability of a family having a dog is 0.42
Here Given that,
We have total 59 families.
26 only have cat.
14 only have a dog.
And 11 have both cat and a dog
Now, we will show this information on Venn diagram
for Venn diagram see the attachment.
Now, we can say that 26+14+11=51 families have pets at home.
So, we will find out that how many families do not have cat or dog
So,
we have 59 total families and from 59 families 51 have cat or a dog or both at home.
So,
Families do not have cat or dog = 59-51
Families do not have cat or dog = 8
therefore,
8 families do not have a cat or a dog.
Now, we will choose one family and find out the probability of that family having a dog.
So, we have 59 total families and out of 59 families 14+11= 25 families have a dog at home.
So,
The probability of a family having a dog =(families that have a dog)/(total families)
The probability of a family having a dog =25/59
The probability of a family having a dog =0.42
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Find the gradient of the line segment between the points (-8,6) and (-10,14).
Answer:
-4
Step-by-step explanation:
gradient = (y_2 - y_1)/(x_2 - x_1)
gradient = (14 - 6)/(-10 - (-8)) = 8/(-2) = -4
you randomly select one card from a standard deck of 52 playing cards find the probability of selecting the six of spades or the nine of clubs
There are 52 cards in the deck.
Picking the 6 of spades or 9 of clubs are two of the possible cards you could pick.
Your probability is 2/52 or 1/26 or 3.8461538461538%.
Write Proportion Statement and find the missing sides of the polygon.
The lengths of the sides AN, PM, and MO of the given polygons are 26, 40, and 96, respectively.
We are given two triangles. The vertices of the first triangle are A, N, and T. The vertices of the second triangle are P, O, and M. Both the triangles are right-angled. The triangles are similar to each other. The lengths of the sides AT and TN are 10 and 24, respectively. We will use the Pythagorean theorem to find the length of side AN.
AN = √[(10)² + (24)²] = √(100 + 576] = √676 = 26
Now, as we know the triangles are similar, the lengths of the corresponding sides must be in the same proportion. The ratio is calculated as given below.
r = PO/AN = 104/26 = 4
The length of the side PM is equal to r*AT = 4*10 = 40. The length of the side MO is equal to r*TN = 4*24 = 96.
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Use the change of variables formula and an appropriate transformation to evaluate ∫∫g xy dA, where R is the square with vertices (0, 0), (1,1), (2, 0), and (1, -1).
Therefore, the transformation of the double integral can be expressed as follows: ∫∫g(x', y') (x' + 1)(y' - 1) dx' dy' = ∫∫g(x', y') (x' + 1)(y' - 1) |J| dA'
What is the change of variables formula?the alteration of variables A mathematical trick known as a formula is used to switch the variables in an integral from one set of variables to another. The integral is frequently simplified or made easier to solve by doing this. Given a function f(x) and two sets of variables x and y, the integral of f(x) with respect to x may be represented as the integral of a transformed function g(y) with respect to y, where g(y) is connected to f(x) by a functional connection between x and y. For instance, the integral of f(x) with respect to x can be expressed as the integral of f(sqrt(y)) with respect to y if x and y are connected by the equation y = x2.
How to solve?
x' = x - 1
y' = y + 1
∫∫g(x, y) xy dA = ∫∫g(x', y') (x' + 1)(y' - 1) dx' dy'
∫∫f(x, y) dA = ∫∫f(x', y') |J| dA'
|J| = | ∂x'/∂x ∂x'/∂y |
| ∂y'/∂x ∂y'/∂y |
|J| = | 1 0 |
| 1 1 |
Therefore, the transformed double integral can be expressed as follows:
∫∫g(x', y') (x' + 1)(y' - 1) dx' dy' = ∫∫g(x', y') (x' + 1)(y' - 1) |J| dA'
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an open-top box is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each corner and bending up the sides. what is the largest volume that the box can have?
The largest volume that the box can have is 02.
equation for volume :
v = x (3- 2x)²
Differentiating using chain rule and product line:
v' = 1(3 - 2x)² + 2x (3 -2x) (-2)
= 9 - 12x + 4x² -12x +8x²
= 9 - 24x +12x²
Finding the critical value where v' = 0
v' = 0
⇒12x² - 24x +9 =0
⇒3 ( 4x² -8x +3)=0
⇒ 4x² -8x+3 =0
(2x- 3) (2x-1) =0
or, x=3/2 or 1/2
putting the value x= 1/2, we get,
V = 2
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A cyclist rides at a constant speed of 15 miles per hour. At this speed, about how long would it take the cyclist to ride from Garden City to Dodge City, Kansas?
Answer: 5.61333333 h
If the length between Garden city to dodge city is 84.2km the answer would be 5.61333333 hours [non-terminating decimal]
Step-by-step explanation:
So ummm, i dunno if the answer is right but yeahh
1h = 15 miles
Distance between GC AND DC = 84.2
84.2 * 15 = 5.6133333
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The number of students studying abroad in 2001 is 150.38 thousand
The number of students studying abroad in 2018 is 467.53 thousand
What are the number of students?The given equation is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is 123.1(1.069)^x
Where:
123.1 = initial population in 19981.069 = rate of growthx = number of yearsNumber of students studying abroad in 2001 = 123.1(1.069)^3= 150.38 thousand
Where x = 2001 - 1998 - 3
Number of students studying abroad in 2018 = 123.1(1.069)^20 = 467.53 thousand
Where x = 2018 - 1998 = 20
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If K is between J and L, and JK = 12 and JL = 37, what KL =
Answer: 25
Step-by-step explanation:
Since the total distance of JL is 37, and JK is 12, we can find KL by subtracting JK from JL.
37 - 12 = 25
The sum of JK and KL makes up the distance of JL.
Are the ratios 1:2 and 19:20 equivalent?
No, these ratios are not equivalent.
Answer:
No they are not
Step-by-step explanation:
2(-3s+1-5) Pls HELP!
Find the LCM of 8a²y²z and 56ayz³
Answer: 6
Step-by-step explanation:
packages of sugar bags for sweeter sugar inc. have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distributed. what is the probability that 16 randomly selected packages will have a sample mean weight in excess of 16.075 ounces?
0.0668 is the probability that 16 randomly selected packages will have a sample mean weight in excess of 16.075 ounces.
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
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