Answer:
y = 2
Step-by-step explanation:
where is my cookie >:(
Find the indicated sum.
10
∑ (2j+8)
j=1
Answer: 190
Split the summation into smaller summations that fit the summation rules
10∑ j=1 (2j+8) = 2 10∑ j=1 (j) + 10 ∑ j=1 (8)
Firstly Evaluate
10
2 ∑ j=1 j
The formula for the summation of a polynomial with degree one is:
n∑ k=1 k =n (n+1) / 2
putting the values
2∑ j=1 j = (2)* 10 * (10+1) / 2
= 110…………………..(1)
second Evaluate :
10 ∑ j=1 (8)
The formula for the summation of a constant is:
N ∑ k=1 c = cn
Putting the values
10 ∑ j=1 (8) = 8 * 10
= 80……………….(2)
Adding both (1) and (2)
110+80
190
A figure has the following vertices: A(0,4), B(3,8), and C(4,0). What are the vertices of the figure after a reflection across the x-axis?
Answer:
A -> (0,-4)
B -> (3, -8)
C -> (4, 0)
Step-by-step explanation:
Hiya! When it came to this, the goal of shifting a figure across the x-axis is to get it flipped across the horizontal line. By doing this, which I may potentially be incorrect on, I assumed that you would have to take the negatives of the y values in order to make that shift downwards. I left the x-values be, as I believe they remain stable when you're only doing a reflection across the x-axis. C also remained the same, as a negative of a zero is still a zero. If you would like to see this change graphed out, I would recommend plugging the coordinates into Desmos to see the shapes. I hope this at least helped a little!
what is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? write your answer in base $10$.
Average of all positive Integers , when written in base 10 is 58.
given,4 digits base 3
smallest 1000 = 3^3 = 27
biggest 2222 = 2*27+2*9+2*3+2 = 802 digits base 6smallest 10 = 36biggest 1000-1 = 6^3-1 = 4095.
So the intersection of these is 36 to 80 , 80-36+1 = 45
sum of numbers from 36 to 80 = (45/2)(72+44) = 45/2*116= 45*58 = 2610 average = 2610/45 =58A more straight forward approach would be to say that of there are 45 numbers the median on is in the 46/2 = 23rd position.
In this case the median and the mean will be the same. 36+23-1 = 58.
The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. It is the point above and below which half (50%) the observed data falls, and so represents the midpoint of the data.
Median is not dependent on all the data values in a data set. The median value is fixed by its position and is not reflected by the individual value. The distance between the median and the rest of the values is less than the distance from any other point.
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what is 362,000 rounded to the nearest ten thousand
Answer:
360,000
Step-by-step explanation:
Which the following points is on the line whose equation is 2x - y = 3
a. (-1,-5)
b. (0,3)
c. (2,-1)
d. (3,2)
A school supply company produces wooden rulers and plastic rulers. It takes 30 minutes to
cut, shape, and sand a wooden ruler. It takes 15 minutes to mold, dry, and cut a plastic ruler. A
maximum of 480 minutes per day is set aside for these tasks.
It takes 6 minutes to paint the lines and numbers on both types of rulers. A maximum of
180 minutes per day is set aside for this task.
a. What is a system of inequalities that models this scenario?
b. What is the graph of the solution to this system?
Answer:
30w+ 15p<480
6w<180
Step-by-step explanation:
Answer:
Y≥0 X≥0 6x+6y≤180 30x+15y≤480
The amount of time it takes a water pump to empty a tank varies directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
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I WILL MARK 10/10 IF U GET ANSWER CORRCET!!10 Fill in the blanks to make each equation true.
5
-6.5•(-0.4) =
2.6
b.
.
-27
-10
c.
-6+ (-3)-(-5) =
d.
+ -(-3) -
3
10
-8
e.
-4.5 1.8.3.2
Answer:
a) 2.6
b) -15
c) 9
d) [tex]\frac{3}{10}-(-\frac{2}{3})=\frac{3}{10}+\frac{2}{3}=\frac{9}{30}+\frac{20}{30}=\frac{29}{30}[/tex]
e) 1.26
Step-by-step explanation:
what is 1000000+25437
Answer:
1025437
Step-by-step explanation:
1000000+25437=1025437
Answer:
1025437
Step-by-step explanation:
hope it helps, please mark as brainliest
what are the coefficients of 4x -7 - 8x +17
Hi there! Please help ASAP! The question is in the photo!
Answer:
36.87 degrees
Step-by-step explanation:
we can use the cos ratio:
cos(x) = adjacent/hypotenuse
cos(x) = 12/15
x = [tex]cos^{-1} (4/5)[/tex]
x=36.87 degrees
plz help meeeeeeeeeee
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Evaluate the expression below if x = 3 and y= -4.
X - Y - 3+ (-57)
Answer:
-53
Step-by-step explanation:
3-(-4)-3-57
7-3-57
4-57
=-53
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
A C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Leah wants to earn at least 120 dollars a month and she has two job options. This is written as
5x + 8y > 120
She also can't work more than 20 hours, leading us to the second equation
x + y = 20
First we solve for one variable
y = 20 - x
then substitute it into the first equation
5x + 8(20 - x) = 120
Solve for x
5x + 160 - 8x = 120
3x = 40
x = 40/3
Then we solve for y
y = 20 - x
y = 20/3
x < 40/3
y > 20/3
B and D will not work because their x+y is greater than 20.
E will also not work because the value is less than 120
f the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18
WILL GIVE BRAINLIEST!!!
Answer:
Its A!
Step-by-step explanation:
i took the test on edge 2020-2021
Answer:
2
Step-by-step explanation:
The function of f is shown. Find lim f(f(x)) as x->-1
Answer:
The limit of f(f(x)) = -1.
Step-by-step explanation:
Limt x--> -1 of f(x) = 3.
This output is now applied to f(x):
Limit x---> 3 of f(x) = -1.
Nola was selling tickets at the high school dance. At the end of the evening, she picked up the cash box and noticed a dollar lying on the floor next to it. She said, I wonder whether the dollar belongs inside the cash box or not. The price of tickets for the dance was 1 ticket for $5 (for individuals) or 2 tickets for $8 (for couples). She looked inside the cash box and found $200 and ticket stubs for the 47 students in attendance. Does the dollar belong inside the cash box or not? (justify/defend)
Answer:
yes
Step-by-step explanation:
s + 2c = 47
5s+8c = 200
which one checks as in the other solution does not have a solution in non-negative integers. On the other hand, the analogous system
s + 2c = 47
5s+8c = 201
with solution s=13 and c=17. So, as in the other solution, we conclude that the extra dollar belongs in the cash box, with 13 singles and 17 couples attending the dance.
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer: 80
Step-by-step explanation:
Number of visitors in first week = 5
Number of visitors in second week = 10
Number of visitors in third week = 20
The common ratio here is = 10/5 = 2
The fifth term will be:
= ar^n-1
where,
a = first term = 2
r = ratio = 2
n = number of terms = 5
= 5 × 2^(5-1)
= 5 × 2^4
= 5 × 16
= 80
look at pic n answer plz, its math
Answer:
the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25
a line passes through the point (10, -9) and has a slope of -3/2. write an equation in slope-intercept form for this line.
Out of 40 children in a class, 10 are boys. What is the percentage of boys?
Step-by-step explanation:
total children = 40
number of boys = 10
then
percentage of boys = 10/40*100
25percent are boys
Answer:
10/40×100.
1/4×100.
25%.
the boston weatherman says there is a 75 percent chance of rain for each day of the labor day four-day weekend. if it doesn't rain, then the weather will be sunny. paul and yuri want it to be sunny one of those days for a world war iii preenactment, but if it's sunny for more than one day they won't know what to do with themselves. what is the probability they get the weather they want? give your answer as a fraction.
The probability that Paul and Yuri get the weather they want = 27/64
Given probability for rain = 75% = 3/4
The total probability is considered as 100% or 1.
So the probability for sunny day = 1 - 3/4 = 1/4
Paul and Yuri want a sunny day from labor day 4 -day weekend.
This means 3 days of rain and 1 sunny day. So 3 times the probability for rain and 1 time the probability for sunny day.
This one sunny day can be chosen from 4 days. In other ways there is 4C1 =4 different ways possible to choose 3 days of rain and 1 sunny day from 4 days.
So finally the probability that Paul and Yuri get the weather they want
= [tex]\frac{3}{4}^3 \times \frac{1}{4} \times 4[/tex] = 27/64
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Gerry's electric toothbrush rotates the brush 125 times per second.
Gerry brushes her teeth for two minutes, twice a day.
How many rotations does her electric toothbrush make in one week?
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
1 minute = 60 seconds1 week= 7 days∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
What does y=kx mean
Answer:
k is the slope of the graph.
Step-by-step explanation:
pls help ;(
all you need is in the picture
Its A I know it m8 trust me
Hey, Whats The answer please explain your answer marking brainliest:D...
Can someone help me with this math problem asap??
please answer correctly or I'll report it!
Answer:
13
Step-by-step explanation:
Like the previous problem, let's state what we know.
We know 4 and k = 17
so
4+k=17
Which means k=13
The equation of a line is given below.
-4x+13y=−26
Find the x-intercept and the y-intercept.
Then use them to graph the line.
X-Intercept: [tex](\frac{13}{2},0)[/tex]
Y-Intercept: [tex](0,-2)[/tex]
As for the graph, you mark 13/2, or 6.5 on the x-axis for your first point, and -2 on the y-axis for your second point. Then, draw your line and you have your graph.
Hope this helps! If so, lmk!
pls help me idk what this is
Answer:
B. -6 ≤ y ≤ 9
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the line in the graph, our y-values span from -6 to 9. Since both are closed dot, they are inclusive in the range:
Range: [-6, 9] or -6 ≤ y ≤ 9
Answer:
B
Step-by-step explanation:
The solid circles at both ends of the graph are (- 10, - 6 ) and (0, 9 )
The range is the values of y covered by the graph, that is from - 6 to 9
Since the circles are solid then y can equal - 6 and 9
Thus
the range is - 6 ≤ x ≤ 9
graph the line that passes through( -1,5)perpendicular to a line whose slope is -1/6
Answer:
y - 5 = 6(x+1)
Step-by-step explanation:
if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.
y - 5 = 6(x+1)
this is point slope form btw