Answer:
1,908is the answer you need
Two turtles, Velma and Justine, were entered into a race.
The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.
Based on the equation and graph, which two statements below are true?
A.Justine is twice as fast as Velma.
B. Justine is half as fast as Velma.
C. Justine and Velma have the same speed.
D. Justine moves a greater distance than Velma each minute.
E. Justine moves a shorter distance than Velma each minute.
Answer:
B and E
Step-by-step explanation:
the graph (Justine) shows the line
y = 2x
the line for Velma is
y = 4x
now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).
a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).
as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.
so, as per her slope, Velma moves 4 meters in 1 minute.
and Justine moves 2 meters in 1 meter.
so, Justine is half as fast as Velma.
and therefore, Justine moves a shorter distance than Velma each minute.
Answer:
Step-by-step explanation:
B and E
2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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Exercise 8.3.4: Selecting coders for 3 different projects. About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project
Answer:
168 ways
Step-by-step explanation:
Given
\(Junior = 7\)
\(Senior = 3\)
Required
Number of ways 3 project can be assigned
Starting with the second project.
This can be assigned to only senior coders
So:
\(n_1 = 3\)
Then, the third project.
This can be assigned to only junior coders
So:
\(n_2 = 7\)
At this point, we are left with 2 senior coders and 6 junior coders
Since the first can be assigned to anybody.
\(n_3 =2+ 6\)
\(n_3 =8\)
The number of selection is then calculated as:
\(n = n_1 * n_2 * n_3\)
\(n = 3 * 7 * 8\)
\(n = 168\)
Lisa an experienced shipping clerk, can fill a certain order in 9 hours. Felipe a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order?
The solution is ___Hours
It will take Lisa and Felipe approximately 4.95 hours to fill the order by working together.
To solve this problem, we can use the formula:
1/T = 1/T₁ + 1/T₂
where T is the time taken to complete the job when both Lisa and Felipe work together, T₁ is the time taken by Lisa to complete the job, and T₂ is the time taken by Felipe to complete the job.
Substituting the given values into the formula, we get:
1/T = 1/9 + 1/11
Simplifying the right-hand side of the equation, we get:
1/T = (11 + 9)/(9 x 11)
1/T = 20/99
Multiplying both sides by 99, we get:
T = 99/20
Therefore, working together, Lisa and Felipe can complete the job in 4.95 hours, or approximately 4 hours and 57 minutes.
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William invested $330 in an account paying an interest rate of 8\tfrac{1}{8}8 8 1 % compounded continuously. Isaac invested $330 in an account paying an interest rate of 8\tfrac{5}{8}8 8 5 % compounded monthly. After 12 years, how much more money would Isaac have in his account than William, to the nearest dollar?
Answer:
51
I got it right
Step-by-step explanation:
HOW TO CHANGE THE PERCENT INTO DECIMAL?
57%= ?
Answer:
0.57
Step-by-step explanation:
57 / 100 = 0.57
You need to divide the percent by 100
5. Find f(x) - g(x)
f(x)-8x^4 - x^3 - 4x^2
g(x) = -5x^4 + 5x^2
Answer:
hope it helps,............................
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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2-3(5-6)³-4(-3)+16÷8(-3)
step by step please and thank you!
Answer:
\(11\)
Step-by-step explanation:
\(2 -3(5 -6)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1) -4(-3) +16 \div 8(-3) \\ 2 +3 +12 +2(-3) \\ 2 +3 +12 -6 \\ 5 +12 -6 \\ 17 -6 \\ 11 \)
I have 3 red balls, 3 blue balls and 3 yellow balls in a box. Total of 9 balls. Let's say that I randomly pick 3 balls, what are the chances of having at least 2 red balls in the 3 that I picked?
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.
If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,
P = 3/9
P = 1/3
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
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Calculate the value for the for the following scores 20, 60, 30, 50 given:
begin inline style begin display style sum for blank of end style end style x squared =
The sum of the scores is equal to 160.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for a data set?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of scores (data set), we have;
∑x = 20 + 60 + 30 + 50
∑x = 160.
Mean = [F(x)]/n = 160/4 = 40.
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maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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Please help and leave a small explanation if u want brainliest :)
Answer:
B is true
Step-by-step explanation:
ratio of all corresponding sides are equal
Answer:
B) Triangle ABC is similar to triangle EFG
Step-by-step explanation:
they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.
Three friends divide two bags of apples equally between them. Enter the division represented by this situation as a fraction.
Answer:
3/5
Step-by-step explanation:
Answer: I would say 3 divided by 2 or it would be 3/2.
Step-by-step explanation: Hit me up if i got it right:)
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
A customer asks for two money orders. The first is for the amount of $637.24 and the second
is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the
customer would owe you?
Answer:
A customer asks for two money orders. The first is for the amount of $637.24 and the second
is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the
customer would owe you?
A customer asks for two money orders. The first is for the amount of $637.24 and the second
is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the
customer would owe you?
A line passes through the points(-8,-7) and (-4, -4) what is the equation of the line in slope intercept form
Step-by-step explanation:
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 7)/(-4 + 7) = (x + 8)/(-4 + 8)
(y + 7)/3 = (x + 8)/4
4(y + 7) = 3(x + 8)
4y + 28 = 3x + 24
4y = 3x + 24 - 28
4y = 3x - 4
y = 3x/4 - 1
Write an equation of a line with the given slope and y-intercept.
m = 4, b = -1
a. y = -x + 4
b. y = 4x + 1
C. y = -x - 1
d. y = 4x - 1
Please provide explanation :)
Answer:
D. y=4x-1
Step-by-step explanation:
y=mx+b (This is the slope intercept formula) The M(X) represents the slope and the B represents the y intercept.
y=4x-1
Answer:
d. y = 4x -1
Step-by-step explanation:
y = mx + b
m= 4
b= -1
y = (4)x + (-1)
y = 4x - 1
can i get brainliest please?
The assets and liabilities of a 22-year-old recent college graduate are listed below.
Furniture $14,278
Car Loan $3,250
Credit Card Balances $5,129
Savings Account Balance $4,337
Student Loans $58,097
Car Value $14,950
Computer and Software $11,744
20 POINTS // The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off $25,000 in student loan debt. What is the college graduate's new net worth?
$16,081
$21,167
$13,833
$33,097
After the law firm agrees to deposit $10,000 into the college graduate's savings account and pay off $25,000 in student loans, the college graduate's new net worth is C. $13,833.
What is the net worth?Net worth refers to the difference between a person's assets and liabilities or credit obligations to others.
Assets are property owned, while liabilities are property funded on credit. The difference between these two is the net worth, representing property funded by the owner.
Assets:Furniture $14,278
Savings Account Balance $14,337 ($4,337 + $10,000)
Car Value $14,950
Computer and Software $11,744
Total assets = $55,309
Liabilities:Car Loan $3,250
Credit Card Balances $5,129
Student Loans $33,097 ($58,097 - $25,000)
Total liabilities = $41,476
Net worth = $13,833 ($55,309 - $41,476)
Thus, this college graduate now has a net worth of $13,833.
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Some traffic signs are in the shape of polygons. A stop sign is in the shape of which polygon?
A stop sign has 8 sides and 8 interior angles.
An 8 sided polygon is called an octagon.
What is the volume of this figure?
Enter your answer in the box.
yd³
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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The area of a rectangular wall of a barn is 48 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
l = 16 feet
w = 3 feet
Step-by-step explanation:A = l×w
l = 10+2w
48 = (10 + 2w)w
48 = 10w + 2w² | : 2
24 = 5w + w²
w² + 5w - 24 = 0
w² + 8w - 3w - 24 = 0
w(w + 8) - 3(w + 8) = 0
(w - 3)(w + 8) = 0
w - 3 = 0 => w = 3 feet
w + 8 = 0 => w = - 8 ∉ N
l = 10 + 2w
l = 10 + 6
l = 16 feet
A = l×w = 16ft×3ft = 48ft²
What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
HELP MATH ANSWER QUESTION
Answer:
x = 84 , y = 168
Step-by-step explanation:
\(Sin 60 = \frac{opposite side}{hypotenuse}\\\\ \frac{\sqrt{3}}{2}= \frac{AB}{BC}\\\\ \frac{\sqrt{3}}{2} = \frac{84\sqrt{3}}{y}\\\\Cross\ multiply ,\\\\y*\sqrt{3} =2*84 \sqrt{3}\\\\y= \frac{2*84*\sqrt{3}}{\sqrt{3}}\\\\y=168\)
\(Cos\60 = \frac{adjacent}{hypotenuse}\\\\ \frac{1}{2}= \frac{AC}{BC}\\\\ \frac{1}{2}= \frac{x}{168}\\\\ \frac{1}{2}*168=x\\\\x= 84\)
im doing decimals greatest to least and i need help with number 12 and 13
(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)
1. Just because a number looks big, doesn't mean it is big
Example: 1.00000000000001 < 1.1
just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"
2. Negative numbers are... opposite. and they are less than positive numbers
-3.4 > -4.1
Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers
I hope these tips helped!! :D
Answer:
12) 6.32, 6.318, 6.23, 6.108
13) 1.345, .654, .645, .456
Step-by-step explanation:
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
3. Find all the missing sides and angle measures.
a. The measure of angle X is 90 degrees and angle Y is 12 degrees. Side XZ has
length 2 cm.
Answer:
side xy = 9.41 cm
Step-by-step explanation:
Answer:
side xz is 78°
90+12=102
180-102
Liam will spin the pointer one time. What is the probability that the pointer will land on red?
Answer:
Step-by-step explanation:
What are the other colors?
if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2
similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....
depends on how many colors are there
Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?
Answer: Ash
Step-by-step explanation:
Convert both into a percentage so it is clearer
Lia- 48%
Ash- 48.57%