Given:
Desk we’re on sale for $200
full price of $300
Required:
Find Rate of Increase
Explanation:
We apply the formula to calculate rate of increase
Final value=$300
Initial value=$200
\(\begin{gathered} percent\text{ increase=100}\times\frac{final-initial}{initial} \\ \\ percent\text{ increase=100}\times\frac{300-200}{200} \\ \\ =50\% \end{gathered}\)Required answer:
The rate of increase is 50%
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes. Find the probability that a randomly selected passenger has a waiting time 3.25 minutes.
Main Answer: The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Explaination:
Calculation of the probability:
Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375
Help please I can’t figure this out
Answer:
how many times does 18 go into 97 and then subtractact then subtract the number you got with two your answer should be 0.185
Step-by-step explanation:
Is F={56,777,1,2} a subset of G={2,78,64,333,1,7,56,77,900}?
Answer:
No
Step-by-step explanation:
F is not a subset of G because not every element in F lives in G. Even through 56, 1 and 2, all live in G, and are elements of F, 777 is an element of F but is not an element of G.
(If there is a typo, and every element in F is in fact an element in G, then the answer would be yes, F is a subset of G)
We can see that element 777 is not in set G. Hence the set F is not a subset of set G.
A set is a collection of elements not necessarily arranged in a particular pattern.For a set A to be a subset of another set B, all elements of the set must be found in set B.For the given set F={56,777,1,2}, we can see that the element 777 is not in the set G. Hence the set F is not a subset of set G.
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What is the area, in square inches, of the shaded part of the rectangle below?
72 points <3
Answer:
Step-by-step explanation:
16 × 19 = 304
1/2(19×9)=85.5
304-85.5= 218.5
3
Select the correct answer.
Emma starts a food blog. When the blog is launched, the number of site visits is 486. Every month, the number of site visits Increases by
one-third of the number of site visits in the previous month. At this rate, how many total site visits will there have been after 6 months?
OA. 6,734
OB.
2,731
Ос.
9,465
OD
728
Reset
Next
Answer:
6734
Step-by-step explanation:
1st month -> 486
2nd month->(1/3 x 486)+ 486
=648
3rd month->(1/3 x 648)+ 648
=864
4th month->(1/3 x 864)+ 864
=1152
5th month ->(1/3 x 1152)+ 1152
=1536
6th month ->(1/3 x 1536)+ 1536
=2048
486 + 648 + 864 + 1152 + 1536 +2048 = 6734
FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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Is the relation shown in
the table a function?
Explain.
The inputs 4 and 8 have more than one out, the relation is not a function.
Is the relation shown in the table a function?A relation is said to be a function if one input is mapped to one output.
that is, each x-value can only have one y-value.
From the table;
Input, output
4 ----- 1
8 ----- 3
4 ------5
8 ----- 4
4 is an input, it has an output of 1.
4 appeared again as input but this time has an output of 5.
This means one input has more than one output.
Also, 8 is an input, it has an output of 3.
8 appeared again as input but this time has an output of 4.
Which also means one input has more than one output.
Therefore, the relation is not a function.
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Multiply.
−1/2⋅3/4
−2/3
−3/8
3/8
2/3
Answer:
-3/8
1/4
1/4
Step-by-step explanation:
1: -1/2•3/4 = 1•3 (numerator) and 2•4 (denominator) and the product is negative (since you are multiplying a positive and a negative number). You get 3 for numerator and 8 for denominator — -3/8. Check to see if it can be reduced further and it cannot. So it’s -3/8.
2: -2/3•-3/8 = -2•-3= 6 (numerator) and 3•8=24 (denominator). That’s 6/24. Check to see if it can be reduced. It can! So 6/24 reduces to 1/4 ( GCF of 6 and 24 is 6 so you divide the numerator and denominator separately by the GCF of 6 which 6÷6=1 (numerator) and 24÷6=4 (denom) so it’s 1/4). Note the sign of the product is positive since it’s a negative times a negative would give a positive answer.
3: 3/8•2/3 = 3/8•2/3 = 3•2/8•3 = 6/24 and reduces to 1/4 as noted above. Positive times a positive is positive.
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
Simplify the following ratios:
8:12
4:8
2:10
Answer:
2:3 1:2 1:5
Step-by-step explanation:
As you can see each of these are divisible by two. So just divide eache number in the ratio by two. If they are both STILL divisible by two then just divide them both by two again.
Ex: 8:12 8 divided by two is 4 4:6 Divide again to get 2:3
12 divided by two is 6
Which ordered pair can be removed so that the resulting graph represents a function (-2, 2) (1, 3) (5, -4) (-4, -4)
Answer:
D: (-4,-4)
Step-by-step explanation:
x and y cant be the same
Answer:
b. (1,3)
Step-by-step explanation:
Take the risk!
PLEASE HELP AS SOON AS POSSIBLE WILL GIVE BRAINLIST
Show your work finding the slope of the line through the following points: (-12, -5), (3, -8)
Answer:
Slope: \(m = -\frac{1}{5} \)
Step-by-step explanation:
Formula: \(m = \frac{rise}{run} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \)
Points: (-12, -5) (3, -8)
\(m = \frac{-8 + 5}{3 + 12}\)
\(m = -\frac{3}{15}\)
\(m = -\frac{1}{5} \)
Answer:
\(\boxed{\sf{m=-\frac{1}{5} }}}\)
Step-by-step explanation:
The slope of the line through the following points can be found by using the slope formula.
Slope:
\(\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} \)
y₂=(-8)
y₁=(-5)
x₂=3
x₁=(-12)
\(\sf{\dfrac{(-8)-(-5)}{3-(-12)}}=\dfrac{-3}{15}=\dfrac{-3\div3}{15\div3}=\dfrac{-1}{5}=\boxed{\sf{-\dfrac{1}{5} }}\)
As a result, the slope is -1/5, which is our answer.
Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and the point (-2,√3) is
on the terminal side of 0. Then find the values of the six trigonometric functions for the angle. Rationalize denominators
if applicable.
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
To sketch an angle in standard position, we start by placing the initial side along the positive x-axis. Since we want the angle with the least possible positive measure, we choose the smallest positive angle, which is 0 degrees or 0 radians.
Next, we plot the point (-2, √3) on the terminal side of the angle. This point lies in the third quadrant of the coordinate plane. We draw a line segment from the origin to this point, representing the terminal side of the angle.
To find the values of the trigonometric functions, we can use the coordinates of the point (-2, √3) to determine the side lengths of a right triangle. The x-coordinate (-2) represents the length of the adjacent side, and the y-coordinate (√3) represents the length of the opposite side. The hypotenuse can be found using the Pythagorean theorem.
Using the values of the sides, we can calculate the trigonometric functions:
sin(0) = opposite/hypotenuse = √3/2
cos(0) = adjacent/hypotenuse = -1/2
tan(0) = opposite/adjacent = -√3
csc(0) = 1/sin(0) = 2/√3
sec(0) = 1/cos(0) = -2
cot(0) = 1/tan(0) = -1/√3
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
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Which decimal has the greatest value ? 0.2 , 0.27 , 0.029 , 0.231
Answer:
0.27
Step-by-step explanation:
Greatest decimal value is 0.27
What is decimal value?Decimals are based on the preceding powers of 10
Given decimal values are
0.2,0.27,0.029,0.231
Order the decimal numbers from low to high
0.029<0.2<0.231<0.27
Hence, the greatest decimal value is 0.27
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PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
two gongs strike at intervals of 90 and 60 minutes respectively.At what time will they strike together again if they start simultaneously at 12 noon
Both the gongs will strike together at 3 pm.
Given,
Two gongs strike at intervals 90 and 60 minutes respectively.
Use LCM to find at what time they will strike together
Using prime factorization:
LCM of (60,90)=\(2^2*3^2*5=4*9*5=180\)
They will strike together after 180 minutes i.e. 3 hours
Hence, if they start simultaneously at 12 noon then they will strike together again at 3 pm
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A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answer: 0.04
Step-by-step explanation:
The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:
\(A_1=s_1^{2}=20^{2}=400\)
The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:
\(A_2=s_2^{2}=4^{2}=16\)
So, the probability that the dart will land in the shaded square on the target is:
\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)
solve for x!!!!!!!!!!
Answer:
8 10
Step-by-step explanation:
maybe this will help you
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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PLEASE HELP
A busy candy stores going to replace their current gumball machine with a giant gumball machine. The globe on the current gumball machine is 22 inches in diameter and the volume is 5575 in.³ compared to what has been ordered the current gumball machines volume is 532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
3. Carry out your plan from question to what is the volume of the globe on the new gumball machine you can round your final answer to the nearest whole number. Be sure to check your work.
4. Is your answer to question through the real solution or an extraneous solution explain how you?
3. The volume of the new gumball machine is of 861.75 in³.
4. This is a real solution, as it is a positive number.
How to obtain the volume of the new machine?The volume of the old machine was of:
5575 in.³
(as stated in the problem)
The volume of the new machine is obtained as follows:
532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
One fourth of the volume of the old machine is obtained as follows:
1/4 x 5575 in³ = 1393.75 in³.
532 in.³ less than that is obtained as follows:
1393.75 - 532 = 861.75 in³.
An extraneous volume is a negative value to the volume, as the volume cannot be negative. Since the number is positive, it represents a real solution.
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Which of these is opposed by kinetic friction?
Select one:
a.
a cat standing in a yard
b.
a book sitting on a table
c.
a box sliding on a floor
d.
a child leaning on a building
Answer: c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.
Matching of the functions domain and range are as follows:
f(x) = 4-4x ;
Domain:{0,1,3,5,6}
Range;{-20,-16,-8,0,4}
f(x) = 5x - 3
Domain:{-2,-1,0,3,4}
Range:{-13,-8,-3,12,4}
f(x) = -10x
Domain:{-4,-2,0,2,4}
Range:{-40,-20,0,20,40}
f(x) = (3/x) + 1.5
Domain:{-3,-2,-1,2,6}
Range:{0.5,0,-1.5,3,2}.
How to find the domain and range of the functions?1) The function f(x) = 4 - 4x
Take Domain:{0,1,3,5,6}
If, we take x=0 and put in the function then we get
f(x)=4-0
f(x)=4
put x=1
f(x) = 4 - 4 =0
put x=3 then we get
f(x)=4-12=--8
put x=5 them we get
f(x)=4-20=-16
put x=6 then we get
f(x)=4-24=-20
Therefore ,range:[-20,-16,-8,0,4}
2) The function f(x)=5x-3
Take domain{-2,-1,0,3,4}
Now, put x=-2 in the function then we get
f(x) = -13
now put x=-1 then we get
f(x)=-5-3=-8
Put x=0 then we get
f(x)=0-3=-3
Put x=3 then we get
f(x)=15-3=12
Put x=4 then we get
f(x)=20-3=17
Therefore , range:{-13,-8,-3,12,17}
3) The function f(x)=-10x
Take domain:{-4,-2,0,2,4}
Put x=-4 in the function then we get
f(x)=40
Put x= -2 then we get
f(x)=20
Put x=0 then we get
f(x)=0
Put x=2 then we get
f(x)=-20
Put x=4 then we get
f(x)=-40
Therefore , range :{-40,-20,0,20,40}
4) The function f(x)= (3/x) + 1.5
Take domain:{-3,-2,-1,2,6}
Put x= -3 in the taken function then we get
f(x)=-1+1.5=0.5
put x=-2 then we get
f(x)= -1.5+1.5=0
Put x=-1 then we get
f(x)=-3+1.5=-1.5
Put x= 2 then we get
f(x)=1.5+1.5=3
Put x= 6 then we get
f(x)=0.5+1.5=2
Therefore, range : {0.5,0,-1.5,3,2}.
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write in logarithmic form 4^-3 = 1/64
Answer:
-3=log base 4 1/64
Step-by-step explanation:
This was hard to write because you cant do base on keyboard.
The median weekly income for a student who drops out of high school is 451. Someone with a bachelor's degree from college earns 1053 in that same week. Calculate each person's yearly income and then the difference between them.
The difference between their yearly incomes is $31,304.
To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:
For the student who drops out of high school:
Yearly Income = Weekly Income x Number of Weeks
= 451 x 52
= 23,452
For someone with a bachelor's degree:
Yearly Income = Weekly Income x Number of Weeks
= 1053 x 52
= 54,756
The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:
Difference = Bachelor's Yearly Income - Student's Yearly Income
= 54,756 - 23,452
= 31,304
Therefore, the difference between their yearly incomes is $31,304.
It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.
Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.
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SOMEONE PLEASE HELP ME RN!!! Ill mark brainliest
Answer:
B) y = -3/7x + 41/7
Step-by-step explanation:
Hope this helps! Pls give brainliest!
What is an externality
Answer:
Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.
the picture below is an example of what it looks like
WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.
the fact of existing outside the perceiving subject.
Due Today, Mathematics.
Answer:
YES, SSS
Step-by-step explanation:
both the triangles are congruent by SSS postulate.
What is the slope of the line that contains the points (−3, −1) and (3, 8)?
two thirds
three halves
Undefined
0
Answer:
m = \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 8 )
m = \(\frac{8-(-1)}{3-(-3)}\) = \(\frac{8+1}{3+3}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)
Answer:
3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= (8- -1)/( 3 - -3)
= (8+1)/(3+3)
= 9/6
= 3/2
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
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