6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
Learn more here: https://brainly.com/question/17003809
PLZ HELP DUE SOOOONNNN (solve for z).
Answer:
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Step-by-step explanation:
Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :
The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:
[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]
[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]
4x = 3yz²
Next, divide both sides by 3y:
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]
Lastly, take the square root of both sides to isolate the variable, z :
[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Therefore, the equation for z is: [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
which of the following numbers closest to 6? 34, 37, 38, 33.
plss answer it correctly...I need asap
Answer:
sorry I cannot understand that
The athletic department raised $14,533 to buy new football uniforms if each uniform costs $258 how many uniforms can they buy
Answer:
56 uniformsStep-by-step explanation:
Available amount = $14533Cost of each uniform = $258Number of uniforms can be bought:
14533/258 = 56 (rounded down)Amount to be spent:
56*258 = 14448Remaining amount:
14533 - 14448 = 85How do you make a circle graph without any extra space?
Answer:
draw a circle, and draw the degrees
Step-by-step explanation:
What is 6x to the power of 3 multiplied by 4x to the power of 8
Answer:
24x^11
Step-by-step explanation:
4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6
Now we just have 24x^11.
The Intelligence Test Scale in a school is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44?.
Using the normal distribution, it is found that:
a) The 65th percentile is of 37.31.
b) The 90th percentile is of 42.68.
c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 35, hence [tex]\mu = 35[/tex]The standard deviation is of 6, hence [tex]\sigma = 6[/tex]Question a:
The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 0.385(6)[/tex]
[tex]X = 37.31[/tex]
The 65th percentile is of 37.31.
Question b:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 1.28(6)[/tex]
[tex]X = 42.68[/tex]
The 90th percentile is of 42.68.
Question c:
The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:
X = 38:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{38 - 35}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 35}{6}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a p-value of 0.121.
0.6915 - 0.121 = 0.5705.
There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
Question d:
The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:
X = 44:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 35}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 35}{6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.9332 - 0.8413 = 0.0919
There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
A similar problem is given at https://brainly.com/question/24663213
What is the solution to the system of equations?
y = 2x + 3
y = -x +8
Answer:
x= 5/3
Step-by-step explanation:
You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.
If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
What is the constant rate of change for this equation y = 1/9x-20 ?
Answer:
like:-
1/9x20 = 2 2/9
1/9-20 = 19 8/9
Step-by-step explanation:
I'm not sureAnswer: The constant rate change would be [tex]\frac{1}{9}[/tex].
Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]
Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20
Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].
Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].
Lastly plug in all the components.
[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]
After solving all this the answer would be [tex]\frac{1}{9}[/tex]
How to solve absolute value inequalities.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
What are the coefficient terms and Constants of 10x + 5 + 3x + 1
Answer:
The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.
Step-by-step explanation:
Coefficients = The number that is in front of the variable.
Constant = Any number without a variable.
(Variables are the letters that you may find in an equation or function.)
Hope this helps you :)
Answer:
The coefficient are 10 and 3
The constants are 5 and 1
Step-by-step explanation:
A coefficient is the number in front of any known term.
A constant is a number by itself.
So the coefficient are 10 and 3
The constants are 5 and 1
Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?
Answer:
1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs
what triangle is formed with the angles 32 126 and 32
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
Learn more about Equations of Circles here :
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Help please please help me
Answer:
Hi! I hope this answer helps you.
In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
any vertical line in the plane can intersect the graph of a function at most once.
HOW TO DO THIS
take your pencil and place it on your paper vertically (up and down direction)
move the pencil across the paper to the right
if the pencil crosses more than two points on the line it is not a function
the first problem would be a function
the second problem would be a function
the third problem would not be a function
hope this helps !!!!
Streams, rivers, ponds, lakes, and wetlands are all kinds of ecosystems.
Answer:
True
Step-by-step explanation:
They can sustain themselves
Answer:
Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.
How many solutions does this equation have. 3x + 99 = 3 (x + 33)
Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
61°
Step-by-step explanation:
We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.
∠PMR = 90° -29° = 61°
If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed
Answer:
d) 2.25Step-by-step explanation:
Let the number is x.
2/3 of a number is 10:
2/3x = 10x = 3*10/2 = 150.15 times of the number is:
15*0.15 = 2.25Correct choice is d
Find the perimeter. Simplify your answer.
Answer:
24c-14
Step-by-step explanation:
to find the perimeter, simply add up the values of the three sides:
(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14
Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?
Answer:
A. 4/11
B. 2/11
Step-by-step explanation:
Use the given values to find the fractions (4+5+2=11)
a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth
The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.
The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:
= 60 cm + 2*65 cm
= 60 cm + 130 cm
= 190 cm
The diameter of the tablecloth required is 190 cm.
Thus to determine the circumference of the tablecloth, we have;
C = 2[tex]\pi[/tex]r
= [tex]\pi[/tex]D
where D is the diameter of the tablecloth.
C = [tex]\frac{22}{7}[/tex] x 190
= 597.1429
C = 597.1429 cm
Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.
Kindly check: https://brainly.com/question/13183446
Please help if you can! A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?
He needed to make a total of 1980 + 630 = $2610
$2610 / 45 = 58
Answer: 58
A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?
Answer:
y = 1.25x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1.25 and (0, - 3 ) ⇒ c = - 3
y = 1.25x - 3 ← equation of line
read sddddddddd
dxfcgvhbjnkml,
Answer:
1/5
Step-by-step explanation:
rise = 2 ft
run = 10 ft
slope = rise/run = 2/10 = 1/5
Answer: 1/5
Answer:
1/5
Step-by-step explanation:
The slope is the rise over the run
Y / x
2/10
1/5
1 is the additive identity of any real number True or False
Answer:
False
Step-by-step explanation:
It is False. 1 is the identity element for multiplication, because if you multiply any number by 1, the number doesn’t change. Identity elements are specific to each operation (addition, multiplication, etc.). So while 1 is the identity element for multiplication, it is NOT the identity element for addition.
show me step by step : 0.18x1.5
Answer:
0.27
Step-by-step explanation:
0.1 8
x 0.50
-----------
000
900
x 1800
-----------
2700 = 0.27
One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?
Answer:
They both had the same amount of students watch the reality show.
Step-by-step explanation:
To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.
For Mrs. Thorne's:
36 * (2/3) = 24 students
For Mrs. Lombardo's:
30 * (4/5) = 24 students
24 = 24 so they had an equal amount of students from each class watch the reality show.
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)
