Answer:
f(t) = -300t + 20,700
Step-by-step explanation:
2000 is the starting year, so 20,700 is our y-intercept or our constant.
Each year, represented by t, student enrollment decreases by 300. This is the slope of the equation.
What is the value for x in the ordered pair 10,5
Answer:
10
Step-by-step explanation:
Ordered pairs are listed in this format: (x,y).
In the pair (10,5):
10 = x
and 5 = y
Answer:
In an ordered pair you will find (#,#) number one equals x and number two is y. So the answer is 10.
Step-by-step explanation:
(x,y)
Rearrange this equation to isolate c.
a=b (1/c-1/d)
Answer:
[tex]c=\frac{bd}{ad+b}[/tex]
Step-by-step explanation:
By isolating the term c, we are trying to arrive at the equation c= ____.
[tex]a=b(\frac{1}{c}-\frac{1}{d} )[/tex]
Divide both sides by b:
[tex]\frac{a}{b}= \frac{1}{c}-\frac{1}{d}[/tex]
Add [tex]\bf{\frac{1}{d}[/tex] to both sides:
[tex]\frac{1}{c} =\frac{a}{b} +\frac{1}{d}[/tex]
Rewriting the right-hand side as a single fraction:
[tex]\frac{1}{c} =\frac{a(d)}{b(d)} +\frac{1(b)}{d(b)}[/tex]
[tex]\frac{1}{c} =\frac{ad+b}{bd}[/tex]
Find the expression of c:
[tex]1\div\frac{1}{c} =1\div\frac{ad+b}{bd}[/tex]
[tex]\bf{c=\frac{bd}{ad+b}[/tex]
Additional:
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Answer:
[tex]c=\dfrac{bd}{ad+b}[/tex]
Step-by-step explanation:
Given equation:
[tex]a=b\left(\dfrac{1}{c}-\dfrac{1}{d}\right)[/tex]
Divide both sides by b:
[tex]\implies \dfrac{a}{b}=\dfrac{b}{b}\left(\dfrac{1}{c}-\dfrac{1}{d}\right)[/tex]
[tex]\implies \dfrac{a}{b}=\dfrac{1}{c}-\dfrac{1}{d}[/tex]
Add 1/d to both sides:
[tex]\implies \dfrac{a}{b}+\dfrac{1}{d}=\dfrac{1}{c}-\dfrac{1}{d}+\dfrac{1}{d}[/tex]
[tex]\implies \dfrac{a}{b}+\dfrac{1}{d}=\dfrac{1}{c}[/tex]
[tex]\textsf{Simplify the left side by applying the fraction rule} \quad \dfrac{p}{q}+\dfrac{r}{s}=\dfrac{ps+qr}{qs}:[/tex]
[tex]\implies \dfrac{ad+b}{bd}=\dfrac{1}{c}[/tex]
Cross multiply:
[tex]\implies c(ad+b)=bd[/tex]
Divide both sides by (ad + b):
[tex]\implies \dfrac{c(ad+b)}{ad+b}=\dfrac{bd}{ad+b}[/tex]
[tex]\implies c=\dfrac{bd}{ad+b}[/tex]
The probability of each two occurring given that event he has happened is called wha
Answer:
Conditional Probability
Step-by-step explanation:
Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening
Jill and erika made 8 gallons of lemonade for their lemonade stand.How many quarts did they make?if they charge $1.00 per quart, how much money will they make if they sell it all?
Answer:
9
Step-by-step explanation:
because 8 gallons of lemonade will stand on charge $1.00 will add and answer will be 9
What is the Answer. to this problem.. . . . . .
Answer:
3.1kg
Step-by-step explanation:
4.7+5.6+6.4+2.8+3.5+4.4+4.5 = 31.9
4.375 x 8 = 35
35 - 31.9 = 3.1
What is the average rate of change of h over the interval −6 ≤ x ≤3
Answer:
-1/9
Step-by-step explanation:
Reduce the fraction to its simplest form 35/54
Answer:
it cannot be simplified anymore
Answer:
0.648148
Step-by-step explanation:
it is already in its simplest form but in decimal it is 0.648148(rounded up to six decimal places.
7 Write a problem you can solve using the fractions and 12. Explain how you can
solve by simplifying a complex fraction. Show your work.
Complex fraction 4²/₃ + 1/3 – 4¹/₃ = 2/3
A fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster.
Some steps to solve a fraction -
Step 1: Write the factors of numerator and denominator.
Step 2: Determine the highest common factor of numerator and denominator.
Step 3: Divide the numerator and denominator by their highest common factor (HCF). The fraction so obtained is in the simplest form.
For example -
4²/₃ + 1/3 – 4¹/₃
= (4 × 3 + 2)/3 + 1/3 – (4× 3 + 1)/3
= 14/3 + 1/3 – 13/3
= (14 + 1 - 13)/3
= (15 - 13)/3
= 2/3
Hence , in the mathematics problem can be solved by using the fractions.
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In an addition equation, when one addend is positive and the other is negative. How do you determine whether the sum will be positive or negative?
If a > b then;
a + -b = a positive number
If b > a then;
a + -b = a negative number
If both addends are positive or if the positive addend has a greater absolute value than the negative addend, the sum will be positive. If both addends are negative or if the negative addend has a greater absolute value than the positive addend, the sum will be negative.
P(x)= 2x^4 - 7x^3 + x^2 - 18x + 3
a) Use Descarters' Rule of Signs, we know that there are ____ or ____ or ____ positive real zeros P can have.
b) b) Use Descarters' Rule of Signs, we know that there are ____ negative real zeros P can have.
Using Descartes's Rule of Signs:
There are four positive real zeros P can have.
There are zero negative real zeros P can have.
What is Descartes's rule of sign?Descartes' rule of sign is used to determine the number of positive and negative real zeros of a polynomial function.
We have,
P(x) = 2[tex]x^{4}[/tex] - 7x³ + x² - 18x + 3
We have to look at the sign of the coefficient
Here,
2[tex]x^{4}[/tex] - 7x³ + x² - 18x + 3
(+)---(-)(-)---(+)(+)--(-)(-)---(+)
There are 4 variations so there are 4 positive real zeroes.
For finding negative real zeroes we Put x = -x.
P(-x) = 2[tex]x^{4}[/tex] + 7x³ + x² + 18x + 3
2[tex]x^{4}[/tex] + 7x³ + x² + 18x + 3
(+)---(+)(+)----(+)(+)--(+)(+)-- --(+)
There are no variations so there are zero negative real zeroes.
Thus,
a) Using Descartes's Rule of Signs, we know that there are four positive real zeros P can have.
b) Using Descartes's Rule of Signs, we know that there are zero negative real zeros P can have.
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Graphs are provided showing how two factors changed over time in a certain region: the number of animals that preyed on mice and the amount of plants the mice ate. Using the information from these graphs, predict which of the following years will see the highest increase in mouse population. 30 Predators 20 per km2 10 1996 1998 2000 2002 Density of Predators 1996 1998 2000 2002 30 Bushels 20 per km2 10 Availability of Food Plants 1996 1998 2000 2002
https://sis-union.tnk12.gov/scripts/wsisa.dll/WService=wsUNIStu/seplog01.w
Step-by-step explanation:
Determine the point that is 1/3 of the distance from (-4.5, 0) to (0, 9)
The point that is 1/3rd of the distance from (-4.5,0) to (0,9) is (-3,3).We use a formula similar to the midpoint formula for finding the point.
We have been given two points (-4.5,0) and (0,9), we have to find the point is on the line formed by these two points and is 1/3rd away. We don't need to find the distance between these two points to find the asked point. We have to use a formula that is similar to finding the midpoint of a line. For two points (a,b) and (x,y) the midpoint is ([tex]\frac{a+x}{2} ,\frac{b+y}{2}[/tex]).We used equal parts of the two points to find the midpoint, for 1/3rd we will be using uneven parts of the two points.
[tex]x_{1} =\frac{2}{3} (-4.5)+\frac{1}{3} (0)=-3[/tex]
[tex]y_{1} =\frac{2}{3} (0)+\frac{1}{3} (9)=3[/tex]
Therefore the point that lies 1/3rd of the distance from (-4.5,0) and (0,9) is (-3,3).
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BRAINLIEST
What is the least natural number that has exactly 6 factors and is not divisible by 2? How about 6?
The least natural number that has exactly 6 factors and is not divisible by 2 is 75.
How to illustrate the information?It should be noted the factors of 75 include 1, 3, 5, 15, 25, and 75.
Therefore, it should be noted that 2 isn't among the factors based on the information given in the question.
Therefore, the least natural number that has exactly 6 factors and is not divisible by 2 is 75.
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Question 9 of 25
Give the slope of y-3= 4(x+8) and a point on the line.
OA. The slope is 3 and (-8, 4) is on the line.
B. The slope is 8 and (3, 4) is on the line.
OC. The slope is 4 and (-8, 3) is on the line.
OD. The slope is 4 and (8, -3) is on the line.
SUI
The slope of the line y-3= 4(x+8) is 4 and (-8, 30 is a point on line y - 3 = 4(x + 8).
According to the given question.
We have a equation of a line y-3= 4(x+8).
Here, we have to find the slope of a line y-3= 4(x+8) and a point on the line.
Since we know that, the equation of a lines through a point (x1, y1) is given by y - y1 = m(x - x1), where m is the slope of the line.
And the equation of slope intercept form for a line is y = mx + c.
So, compare the given equation of line y-3= 4(x+8) with the standard equation of line y - y1 = m(x - x1) which passes through the point (x1, y1), we get
point ( -8, 3) on line y-3= 4(x+8).
Now, the slope intercept form of the line y-3= 4(x+8) is
y - 3 = 4x + 32
⇒ y = 4x + 32 + 3
⇒ y = 4x + 35
Thereofore, the slope of the line y-3= 4(x+8) is 4.
Hence, the slope of the line y-3= 4(x+8) is 4 and (-8, 30 is a point on line y - 3 = 4(x + 8).
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20p-8p-6p=12 please make sure it's right
Answer: step by step
Step-by-step explanation:
not totally sure what you're asking but in this equation p=2
On a recycling drive, Janet collected 2 1/8 pounds of canned goods and Steve collected 3 4/8 pounds of canned goods. How many total pounds of canned goods did Janet and Steve collect together?
A.
B.
C.
D.
Answer:
5 5/8 pounds
Step-by-step explanation:
I added the fractions and got that
Convert the fraction below into a decimal
13/30
Answer:
0.43repeating
Step-by-step explanation:
You simply divide 30 by 13, and you get 0.43333333333333333
3 is repeating
Find the quotient the problem below.
⅝ × ¾
Answer: 5/8 + 3/4 = 11/8 = 1 3/8 = 1.375
Step-by-step explanation:5/8+ 3/4= 5/8+ 3 · 2/4 · 2 = 5/8+ 6/8= 5 + 6/8 = 11/8
Answer: Incorect answer
Step-by-step explanation:
5/8X3/4 =11/8 =1 3/8=1.375
the picture asks the question
Given
F(x)=3x+9
And
g(x) =1/3x-3
verify by composition that f(x) and g(x) are inverse functions.
Step-by-step explanation:
use fog
3(1/3x-3)+9
=x
use gof
1/3(3x+9)-3
=x
we can see that both results give us x hence they are inverse
What is the greatest common factor of 41 and 48?
Answer:
the gcf of 41 and 48 would be 1
Answer: 1
Step-by-step explanation:
41 48
/\ /\
1 * 41 1 * 48
HOW MUCH TICKETS DID THE MOVIE SELL?
Movie a costs 4 dollars
Movie b costs 5 dollars
Movie theater got 200 dollars and sold 47 tickets
How many tickets did movie a sell
PLS ANSWER ILL GIVE BRAINLIEST
Taking into account the definition of a system of linear equations, the movie theater sold 35 tickets for Movie A and 12 tickets for Movie B.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Number of tickets soldIn this case, a system of linear equations must be proposed taking into account that:
xa: number of tickets sold for Movie Axb: number of tickets sold for Movie BOn the other hand, you know:
Movie A costs 4 dollars.Movie B costs 5 dollars.Movie theater got 200 dollars.Movie theater sold 47 tickets.So, the system of equations to be solved is
[tex]\left \{ {{xa + xb=47} \atop {4xa + 5xb=200}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable xa from the first equation, you obtain:
xa= 47 - xb
Substituting this expression in the second equation you get:
4×(47 -xb) + 5xb= 200
Solving:
4×47 - 4xb + 5xb= 200
188 - 4xb + 5xb= 200
- 4xb + 5xb= 200 - 188
xb= 12
Remembering that xa= 47 - xb. you get: xa=47 - 12 → xa= 35
Finally, the movie theater sold 35 tickets for Movie A and 12 tickets for Movie B.
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What is the distance between −9 and 3 on a number line ,in why ?
Answer:a
a
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is the slope of the line?
-7-6-5-4-3-2-
6
5
4
324
0 123 4 56
234567
+6
x
Answer:
6
Step-by-step explanation:
ya it of course sachi ta
Simplify 2(-x + 3y - z) - 6y giving out good points.. solve asap
I didn’t know what I did wrong please help thank u
Answer: -4/7
Step-by-step explanation:
the formula for the slope is rise/run
or (y-y1)/(x-x1)
we can apply this concept like this:
7-(-7)=7+7=14
-4-4=-8
since -8 is the rise and 14 is the run, the slope is -8/14
simplify to -4/7
In a random sample of 144 observations, begin mathsize 15px style p with bar on top end style = .7. The 95% confidence interval for p is
The 95% confidence interval for p is (0.333, 0.480).
What is the confidence interval?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
The formula for calculating the confidence interval is expressed as shown below;
CI = p±Z * √p(1-p)/n±0.5/n
Where Z is the z-score at 95% confidence
p is the sample proportion
n is the sample size
Given that n = 144, p = 0.7 and z-score at 95%
CI = 1.645 (from z table)
Now Substituting this values;
CI = p ± 1.645*√0.7(1-0.4)/144 ±0.5/n
CI = 0.4 ± 1.645*√0.7(0.6)/144 ± 0.5/144
CI = 0.4 ±1.645 * √0.24/144 ± 0.00347
CI = 0.4 ±1.645 * 0.04087± 0.00347
CI = 0.4±0.06723±0.00347
CI =(0.333, 0.480)
Hence, The 95% confidence interval for p is (0.333, 0.480).
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a circle has a diameter of 18 ft what is it's circumference
Step-by-step explanation:
The formula for circumference when the diameter is given is C = π • d
C = circumference
π = pi
d = diameter
So to find the circumference plug in the number (18 - diameter).
C = π • 18
C = 56.5486677646
If needed to round to nearest ...
tenth = 56.5
hundredth = 56.55
However, if the directions say to use 3.14 for π (pi) then the answer would be different.
C = 3.14 • 18
C = 56.52
Hope this helps :)
I don’t understand this question
Answer:
This is a one to one function
Step-by-step explanation:
From the function, we know that f(x) = x - 7 is a linear graph.
Using horizontal line test
the graph is one to one if the horizontal line only cross the graph at one point
which of the following below is a solution to y=x2-1
(4,5)
(2,5)
(1,4)
(2,3)
Answer:
(2,3)
Step-by-step explanation:
[tex]y=(2)^{2}-1=4-1=3[/tex]
when x = 2, y = 3
Hope this helps