Answer:
90
Step-by-step explanation:
The family filters 5 gallons per day, so can expect to use the filter for ...
(450 gal)/(5 gal/day) = 90 day
After 90 days of average water use, the family will need to replace the filter.
On a residential single lane road there was a wreck that backed up traffic for 5 miles. 80% of the traffic consists of cars and 20% of the traffic consists of trucks. The average distance between vehicles is 3 feet. The average length of a car is 13.5 feet and the average length of a truck is 20 feet. Estimate how many vehicles are stuck in the traffic jam. (Hint: There are 5280 feet in 1 mile.) A. 853 vehicles B. 1510 vehicles C. 2103 vehicles D. 2320 vehicles
Answer: b) 1510 vehicles
Step-by-step explanation:
Total: 5 miles x 5280 ft per mile = 26,400
Cars: 80% of vehicles are cars with a length of 13.5 = 0.8(13.5)v = 10.8v
Trucks: 20% of vehicles are trucks with length of 20 = 0.2(20)v = 4v
Between: Distance between two vehicles is 3: (3/2)v = 1.5v
Total = Cars + Trucks + Between
26,400 = 10.8v + 4v + 1.5v
26,400 = 16.3v
1619.6 = v
the closest number of all of the options is (b) 1510
What is the simplest form of this expression?
4(y + 2) - 2
Answer & Step-by-step explanation:
4(y + 2) - 2
Distribute 4 to (y + 2)
4y + 8 - 2
Combine like terms
4y + 6
So, your answer in the simplest form is 4y + 6
Find x in this 45°-45°-90° triangle.
145972
x
X=
4.572
9
18
one car takes half a minute to complete a circuit.
the other car takes 1 minute and 10 seconds to complete a circuit.
if they start side by side, how long will it be before they are next side by side on the start line? state the units in your answer!
please help me I just need the answer
Answer:
7 laps
Step-by-step explanation:
PLEASE HELP Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What was Lenny’s total gross income for the year?
a.
$58,475
b.
$59,730
c.
$60,985
d.
$62,080
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
what statement about the function are true?
Answer:
Step-by-step explanation:
What function ?
x + 10 + 9x=14x-58 can anyone answer this?
The answer to your problem is: X=17
Answer:
17
Step-by-step explanation:
x + 10 + 9x=14x-58
x + 9x + 10 =14x-58
10x + 10 =14x-58
By grouping like terms by moving 14x to the left and 10 to the right of the equation; we have:
10x - 14x =-58-10
-4x=-68
x=-68/-4=17{ dividing both sides by -4}
Find the median of the data in the dot plot below.
The value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have a dot plot shown in the picture.
As we can see in the dot plot there are a total of 9 dots.
4 dots left side and 4 dots right side.
One dot is left which is pointing to the value 25 at the number line.
Thus, the value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,
Learn more about the median here:
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A coffe storage bin contains 1500 grams of coffe beans. To make a cup of coffee, n grams of coffe beans are removed
Answer:
The amount remaining in coffee storage bin after making 10cups if coffee = (1500-10n) grams
Step-by-step explanation:
This question is incomplete as we are not told what to determine.
Let's consider the following question:
A coffee storage bin contains 1500 grams of coffee beans. To make a cup of coffee, n grams of coffee beans are removed. How many grams of coffee would be left after making 10 cups of coffee?
Solution:
Total amount of coffee in storage bin = 1500grams
To make one cup of coffee, we need n grams of coffee
The amount remaining for one cup = 1500grams - n grams
To make 10 cups of coffee, we would need = 10× n grams of coffee= 10n grams
The amount remaining in coffee storage bin after making 10cups of coffee = total amount in storage - amount for making 10cups
(1500-10n) grams
which ordered pair is a solution for 2x+5y=-11
10x+3y=11
Answer:
X = 2 and Y = -3
Step-by-step explanation:
2x+5y=-11 - equation 1
10x+3y=11 - equation 2
from equation 1, 2X = -11 - 5y
X = -11/2 - 5Y/2
X = -5.5 - 2.5Y
insert X = -5.5 - 2.5Y into equation 2
therefore, 10x+3y=11
10(-5.5 - 2.5Y) + 3y = 11
-55 -25Y +3Y = 11
-22Y = 11+55
Y = -66/22
Y = -3
insert Y = -3 into equation 1
thus 2x + 5(-3) = -11
2x - 15 = -11
2x = -11 + 15
2x = 4
x = 4/2
x = 2
ordered pair: X = 2 and Y = -3
What is the slope of the lines 2,8 -6,-8
Answer:
2
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (2,8) and (-6, -8) .
[tex]m=\frac{-8-8}{-6-2} =\frac{-16}{-8}=2[/tex]
The slope is 2.
Which equation has a k-value of -12? y=−12x y=12+12x y=x−12 y=12x+1
Answer:
y = -12x
Step-by-step explanation:
We assume you're concerned with the form ...
y = kx
Putting -12 for k gives ...
y = -12x . . . . . the first choice
_____
Additional comment
The answer will depend somewhat on the context of the question. If you're studying proportions, then "k" is the constant of proportionality as shown above.
If you're studying function translations, then "k" is the vertical translation, as in ...
y = m(x -h) +k
In this case, the equation y = x -12 will have a "k" value of -12.
find the slope of a line parallel to y=(2/5)x + (4/5)
Answer:
So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:
y = mx+b
The slope will be m. Your question is written in the form. 2/5 = m.
The slope is 2/5
The y-intercept is 4/5
Answer:
m=2/5
Step-by-step explanation:
Lines that are parallel have the exact same slope.
We have an equation in point slope form.
y=mx+b
where m is the slope and b is the y-intercept.
The slope is the number being multiplied by x. In the equation
y=2/5x+4/5
2/5 and x are being multiplied. Therefore, 2/5 is the slope. A line that is parallel will have the same slope of 2/5.
What is the next pattern ?
A machine part consist of a half sphere and a cylinder, as shown in the figure.the total volume of the part is blank pi c
Answer:
Volume of the machine part = 114π inches³
Step-by-step explanation:
Volume of the machine part = Volume of cylinder + Volume of hemisphere
Volume of cylinder = [tex]\pi r^{2}h[/tex]
Where r = radius of the cylinder
h = height of the cylinder
Volume of the cylinder = [tex]\pi(\frac{6}{2})^{2}(12)[/tex]
= 108π inches³
Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
= [tex]\frac{2}{3}\pi (3)^{3}[/tex]
= 6π inches³
Total area of the machine part = 108π + 6π
= 114π inches³
A 17-inch candle is lit and burns at a constant rate of 1.3 inches per hour. Let t represent the number of hours since the candle was lit, and suppose f is a function such that f ( t ) represents the remaining length of the candle (in inches) t hours after it was lit. Write a function formula for f . f ( t )
Answer
Since the lyla deleted it actually for a good reason let me explain. But you dont just delete random answers, you can give a comment. I can report you for doing that.
So since it burns at 1.3 per hour. Notice that since it gets removed per hour. so it would be 1.3t so it multiplies per hour. Then we need to subtract. Thats because it lowers the length of the candle. So we get the original length - 17 and get the function
f(t) = 17-1.3t
Does this graph represent a function? Why or why not?
10+
8+
6-
110884
-8
O
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
Ο Ο Ο
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
Option (C).
Step-by-step explanation:
In the graph attached,
An absolute function has been given.
To check a graph whether it's a relation or a function, vertical line test is a trusted tool.
In vertical line test a vertical line (parallel to y-axis) is drawn passing through the graph.
If the vertical line cuts the graph at only one point then the graph is said to be a function.
The given graph passes the vertical test.
Therefore, it's a function.
Option C. will be the answer.
Yes, this graph represents a function, because it passes the vertical line test. Option C is correct
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
An absolute function is shown in the graph that is attached. The vertical line test is a reliable method for determining if a graph represents a relation or a function.
In the vertical line test, a vertical line that is parallel to the y-axis and cuts through the graph is created. The graph is considered to be a function if the vertical line only intersects it once.
The vertical test is passed by the shown graph. It serves a purpose as a result.
Hence option C is correct.
To learn more about the function, refer to:
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In how many ways can a president and a vice president be randomly selected from a class of 20 students?
Answer:
n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.
Step-by-step explanation:
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Answer: g(x)
Step-by-step explanation:
The graph represented by the degrees Fahrenheit outside is y = 2x - 3 where g ( x ) = 2x - 3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Slope m = 2
Given that it was -3 degrees Fahrenheit outdoors when Janelle woke up. The temperature increased by 2 degrees every hour as the morning went on. It implies,
Temperature at start: -3
Changes occur at a rate of 2 degrees each hour.
A line's slope intercept form is y = 2x - 3
Hence , the equation of line is y = 2x - 3 and the graph depicted is g ( x )
To learn more about equation of line click :
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The complete question is attached below :
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario?
a(x)
f(x)
g(x)
h(x)
for each sequence find the first 4 terms and the 10th term n+5 , , , , ...,
Answer:
10,15.20.25
Step-by-step explanation:
+5 in each number
Write an equation in point-slope form for the line that has the given slope, m, and
that passes through the given point and graph the line.
m = -2; (-1,4)
Step-by-step explanation:
work is shown and pictured
Write the number that is ten thousand more than
1,853,604,297:
Answer:
The answer would be 1,853,614,297
Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, which number should she subtract from both sides of the equation? –4 –3 3 4
Answer:
subtract -3
Step-by-step explanation:
–3 + 4x = 9
Add 3 to each side
This is the same as subtracting -3
-3 + 4x - (-3) = 9 - (-3)
4x = 9 +3
4x = 12
m is directly proportional to r squared when r=2 m=14 work out the value of r when m = 224
Answer:
32
Step-by-step explanation:
r:m
2:14
1:7
m=224
r=224 divided by 7
224/7=32
Edit: unless it is proportional to r^2 in which case it is a different answer
Answer:
m=504
Step-by-step explanation:
If your answer is in decimal form, round to 2 decimal places. For example, if your answer is .412, enter it into the fill-in-the-blank as .41, or if your answer is 1.415, enter it into the fill-in-the-blank as 1.42. If there are no decimals in your answer, you will simply enter the number; so if your answer is 2, enter 2 with no decimals. Do not enter any extra spaces, do not enter commas or $ or % symbols.
Answer:
If there is no decimal just put number and if the number is higher than 5 you round up example 1.46 you would put 1.5
Step-by-step explanation:
HOPE IT HELPS
c. Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 4 feet. What is the area of the shade?
Answer:
A=12 feet²
Step-by-step explanation:
1/2*base*height=area
(1/2)*4*6=12
Determine whether the data described below are qualitative or quantitative and explain why.
The area codes (such as 617 )of the telephones of survey respondents:
a. The data are quantitative because they consist of counts or measurements.
b. The data are quantitative because they don't measure or count anything.
c. The data are qualitative because they don't measure or count anything.
d. The data are qualitative because they consist of counts or measurements.
Answer:
c. The data are qualitative because they don't measure or count anything.
Step-by-step explanation:
In the case of the area codes, the value although is a number and follows some logic, it does not represent a quantity and any mathematical operation on it has no meaning. The number does not measure or count anything.
They have the same meaning as the name of the city or the area.
You are studying a population of squirrels on the south rim of the Grand Canyon and find that 9 squirrels out of 100 observed had a unique, solid black color variation. In other mammals, the solid black color variation is caused by a recessive allele, and you assume that to be the case with these squirrels. If the population is in Hardy-Weinberg equilibrium, which of the following would be true?
A. q2 = 0.09
B. .q2 = 0.9
C. The frequency of the black color allele is 0.3, the frequency of the dominant allele is 0.7
D. The frequency of the heterozygous genotype is 4.2%
E. A and C
Which of the following is/are possible applications for use of the CRISPR-Cas9 system?
A. Disable dominant deleterious genes
B. Turn on and off specific genes by disabling Cas9 nuclease activity and attaching it to a transcriptional activator or repressor protein
C. Study gene function
D. all of the above
Genome wide association studies are important for behavioral disorders because
A. Candidate genes can be identified for further study
B. They provide an association between genetic loci and phenotypes
C. They provide a tool to help understand how genetic and environmental factors interact to cause psychiatric disorders
D. all of the above
Answer:
Step-by-step explanation:
Ans-1.)
q 2 = 9 /100 (A) q = 0.3 (p + q) 2 = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)
* (A) and (C)Ans -2.) CRISPR -Cas 9 system has very wide application :
* can be used to disable the dominant deleterious genes .
* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.
* widely used to study function
* All the above (answer)Ans-3.) Genome wide association studies are important to study behavioral disorders because
* candidate genes identified for further studies.
* Provide an association between genetic loci and phenotypes.
* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders
* All of the above (answer)how many significant numbers in 34.6209
Answer:
6
Step-by-step explanation:
1+1 i will make you brainliest lol
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
1 + 1
= 2
1+1
= THIS THING
