Answer:
337.5
Step-by-step explanation:
direct variation means y=kx (inverse variation is yx=k or y=k/x)
so we are given that:
75=k/2, so k=150 which means:
y=150x now
y(2.25)=150(2.25)=337.5
Hope this helps
g(n)=n² +4n
h(n)=-3n-3
Find (g+h)(n-4)
The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
g(n) = n² + 4n
h(n) = - 3n - 3
The function (g+h)(n) is calculated as,
(g+h)(n) = g(n) + h(n)
(g+h)(n) = n² + 4n - 3n - 3
(g+h)(n) = n² + n - 3
Put n = n - 4, then we have
(g+h)(n-4) = (n - 4)² + (n - 4) - 3
(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3
(g+h)(n-4) = n² - 7n + 9
The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.
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Paul was thinking of a number. Paul divides by 7 then adds 1 to get an answer of 10. Form an equation with x from the information.
Answer:
x/7 + 1 = 10
Step-by-step explanation:
x/7 + 1 = 10
How do you fingers out the equations??? Xxx
The solutions using the graph, observe the x-values where the graph intersects with the corresponding lines: (i) x ≈ -1 and x ≈ 1, (ii) x ≈ -1.5 and x ≈ 1.
To find estimates for the solutions of the given equations using the graph of \(y = 3x^2 - 3x - 1\), we need to analyze the points of intersection between the graph and the corresponding lines.
i) \(3x^2 - 3x + 2 = 2:\)
By subtracting 2 from both sides of the equation, we can rewrite it as:
\(3x^2 - 3x = 0\)
We are looking for the x-values where this equation is satisfied. From the graph, we observe that the parabolic curve intersects the x-axis at two points. These points are approximate solutions to the equation. By visually inspecting the graph, we can estimate that the solutions are around x = -1 and x = 1.
ii)\(3x^2 - 3x - 1 = x + 1:\)
By subtracting x + 1 from both sides of the equation, we can rewrite it as:
\(3x^2 - 4x - 2 = 0\)
Again, we can observe from the graph that the parabolic curve intersects the line y = x + 1 at two points. By visually examining the graph, we can estimate the solutions to be around x = -1.5 and x = 1.
It's important to note that these estimates are based on visual inspection of the graph and are not precise solutions. For accurate solutions, algebraic methods such as factoring, completing the square, or using the quadratic formula should be employed.
However, by using the graph, we can make approximate estimates of the solutions to these equations.
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if i had 2 cats and my mom bought me 4 dogs how many animals is that in total
Answer:
2 cats + 4 dogs = 6 animals in total.
:)
Carole used 3 3/4cups of butter for baking. The
amount of sugar she used was 1/3 of the amount of
butter she used. How much sugar, in cups, did
she use?
1 1/4cups
1 1/3cups
2 1/2 cups
3 5/12cups
Answer:
1 1/4 cups
Step-by-step explanation:
3 3/4 cups = 3.75
1/3 = .33333
3.75 x .33333 = 1.25
1.25 = 1 1/4 cups
select the correct answer. the probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be true?
For events A and B to be independent, the condition that must be true is:
P(A ∩ B) = x * y
The correct condition that must be true if events A and B are independent is:
P(A ∩ B) = P(A) x P(B).
where P(A) is the probability of event A, P(B) is the probability of event B, and P(A ∩ B) is the probability of both events A and B occurring together.
In other words, if events A and B are independent, then the probability of both events occurring together is equal to the product of their individual probabilities.
When two events A and B are independent, the following condition must be true:
P(A ∩ B) = P(A) * P(B)
In your case, the probability of event A is x, and the probability of event B is y.
Therefore, the correct answer is:
P(A ∩ B) = x*y
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-88=-3(4m+5)-(1-3m)
solve asap i give brainliest
Answer:
m = 8
Let's solve your equation step-by-step.
−88=−3(4m+5)−(1−3m)
Step 1: Simplify both sides of the equation.
−88=−3(4m+5)−(1−3m)
−88=−3(4m+5)+−1(1−3m)(Distribute the Negative Sign)
−88=−3(4m+5)+(−1)(1)+−1(−3m)
−88=−3(4m+5)+−1+3m
−88=(−3)(4m)+(−3)(5)+−1+3m(Distribute)
−88=−12m+−15+−1+3m
−88=(−12m+3m)+(−15+−1)(Combine Like Terms)
−88=−9m+−16
−88=−9m−16
Step 2: Flip the equation.
−9m−16=−88
Step 3: Add 16 to both sides.
−9m−16+16=−88+16
−9m=−72
Step 4: Divide both sides by -9.
−9m/−9 = −72/−9
m=8
Having a cumulative frequency of 12 (cf = 12) for a test score of 72 means that a. 72 people scored at or below a 12 on the test b. 72% of people scored at or below a 12 on the test c. 12 people scored at or below a 72 on the test d. 12% of people scored at or below a 72 on the test
The correct answer is option c, means that 12 people scored at or below a score of 72 on the test having a cumulative frequency of 12.
Cumulative frequency refers to the total number of observations or individuals that fall at or below a certain value in a dataset. In this case, a cumulative frequency of 12 (cf = 12) for a test score of 72 means that there are 12 people who scored at or below a score of 72 on the test. Options a, b, and d are incorrect interpretations of the cumulative frequency.
Option a suggests that 72 people scored at or below a score of 12, which is not accurate based on the given information. Option b implies a percentage, which is not directly indicated by the cumulative frequency value. Option d suggests a percentage of people scoring at or below a score of 72, which again is not supported by the information provided. Therefore, the correct interpretation is that 12 people scored at or below a score of 72 on the test (option c).
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F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find
FG
Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
\( = > x + 2 = 2x - 6\)
\( = > 2x - x = 6 + 2\)
\( = > x = 8\)
FG = 2×8 - 6 = 10
what is -18=6(x-10) pls help
Answer:
x = 7.
Step-by-step explanation:
-18 = 6 (x - 10)
-18 = 6x - 60
6x = -18 + 60
6x = 42
x = 42/6 = 7.
Answer:
\(x=7\)
Step-by-step explanation:
\(-18=6(x-10)\)
Use distributive property.
\(-18=6x-60\)
Add 60 on both sides.
\(-18+60=6x\)
\(42=6x\)
Divide by 6 on both sides.
\(\frac{42}{6} =x\)
\(7=x\)
Another method.
\(-18=6(x-10)\)
Divide by 6 on both sides.
\(-18/6=x-10\)
\(-3=x-10\)
Add 10 on both sides.
\(-3+10=x\)
\(7=x\)
Give me Brainliest if my answer helped you.
help I hate math i have no clue what I'm do
Answer:
B when u graph it and when u do -2 will still be a -2 and when the 4 will be positive
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLY
Do the graphs below represent a function? Explain.
Answer:
no
Step-by-step explanation:
i just know
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads?.
Answer:
Step-by-step explanation:
wow, they really try to make these probablity questions difficult. so they say 5 but really, b/c the 1st one is heads , we are tossing the coin 4 more times, to find 3 heads b/c we already got one. wow, I'm mad at the teacher that asked this. :P Just say 4 flips for 3 heads.
P(H) = heads
P(H) =1/\(2^{4}\) probability is 1/\(2^{4}\) because we have two outcomes and four tries.
P(H) = 1/16
P(H>=3) 3 * 1/16
P(H>=3) = 3/16
if there is an argument that you have to take 1/\(2^{5}\) into account by the teacher tell them that it was already resolved , the first flip is not a "probablity" any longer. It's heads, 100% , it doesn't affect the next tosses b/c this is a "fair" coin and it's going to land on heads 50% of the time, for every toss. Just my rant. :P
hhhhhhh i need helpp
Answer:
x<27
Step-by-step explanation:
2(x+x+4)<116
2(2x+4)<116
2x+4<58
2x<54
x<27
Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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Simplify the expression below: 2(5x - 3y)
2.1Simplifying Expressions: Problem 1 (1 point) Simplify the following expression. 6- 4(x - 5)-
The simplified expression is 26 - 4x.
To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.
6 - 4(x - 5)
First, distribute -4 to the terms inside the parentheses:
6 - 4x + 20
Now, combine like terms:
(6 + 20) - 4x
Simplifying further:
26 - 4x
Therefore, the simplified expression is 26 - 4x.
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What is the theoretical probability of
randomly picking a triangle from the shapes
below?
A
B
С
1
4
3
7
Answer:
I don't know. I need the whole question to answer.
Step-by-step explanation:
Sorry
huck can paint a fence in 5 hours. if tom helps him paint the fence they can do it in 3 hours. how long would it take for tom to paint the fence by himself? (hint: use the equation from
Assuming that the rates are constant, we can see that Tom can paint the fence in 7.5 hours.
How long would it take for tom to paint the fence by himself?Here we will use equations of the form:
(rate at which person x paints)*(time) = 1 fence painted.
We know that Chuck can paint a fence in 5 hours, then if C is the rate (assuming this is constant), we can write:
C*5 hours = 1 fence
C = (1/5) fences per hour.
And let's say that Tom's rate is T.
When they work together, the rate is:
(C + T)
And they can paint the fence in 3 hours, then:
(C + T)*3 hours = 1 fence
Replacing the value of T we will get:
( 1/5 fences per hour + T)*3 hours = 1 fence
1/5 fences per hour + T = 1/3 fences per hour.
T = (1/3 - 1/5) fences per hour
T = (5/15 - 3/15) fences per hour
T = 2/15 fences per hour.
Then Tom paints the fence in:
(15/2) hours = 7.5 hours.
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Jane is comparing prices of f bottled drinks. She finds one bottle of water that cost $1.92 and contains 12 ounces. She then finds one of the bottle of the soda that costs 2.40 and contains 16 ounces. Whic cost less per ounce
Answer:
the soda is less
Step-by-step explanation:
if you divide both the soda and the waters ounces by their price than you will get 0.15 for the soda and 0.16 for the water showing that its 1 cent more expensive than the soda
Kerys is trying to expand the binomial {(2x + y)}^{4} using the binomial theorem expression, \displaystyle\sum_{k = 0}^{n}{\begin{pmatrix} n \\ k \\ \end{pmatrix}a^{n - k}b^{k}}. What value(s) should she substitute for k? Why?
Kerys should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
The binomial theorem states that the expansion of the binomial \({(a + b)}^{n}\) is given by the formula:
\(\displaystyle\sum_{k = 0}^{n}{\begin{pmatrix} n \ k \ \end{pmatrix}a^{n - k}b^{k}}\)
The variable n represents the power to which the binomial is raised, in this case n = 4.
The variable k is the exponent of the second term in the binomial (b), in this case y.
So, with k = 0, the term will be aⁿ = (2x)⁴, with k = 1, the term will be
\(a^{(n-1)} b = (2x)^3 y\), and so on.
Therefore, he should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.
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Please can anyone simplyfy that and can you tell the steps?
Step-by-step explanation:
Hope I did the way it was required! And helped you somehow!
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
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Answer:
It's B.
Step-by-step explanation:
Edge 2020.
Please help ASAP 15 points for answering
Answer:
a. y=7x or n=7t
b. 42
c. 19 years
d. The answer to that would be that the equation represent an average American uses 7 trees every single year.
Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Compute the expression
C(10,3)
What is the measure of circumscribed
O 45°
O 50°
O 90°
O 95°
The measure of the inscribed angle is equal to 90 degrees
What is an inscribed angleThe inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.
In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.
The measure of the circumscribed angle is 90 degree
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7. Write an equation of the line parallel to y = 8x - 1 that contains (-6, 2). Please write the equation
in slope-intercept form.
Answer:
you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)
We also know that m=8, because it is parallel to the line y=(8=m)x -1
so: y-2=8(x+6)
and you solve it, so:
y-2=8x+48
y=8x+48+2
y=8x+50
tion For the given Minimize the average cost AC(Q). AC(Q)=0.005 AC(Q) can be rewritten with the last term in power notation as: AC(Q)=0.005 Optimization: 1. AC(Q)= TC(Q)=0.005Q²+0.142Q+105.4 AC(Q)=0 and solve Accepted critical value: Q= 2 ACQ= AC (cv) AC O>0 Max O<0 Min 040 Max O>0 Min 3. Minimum Average Cost ACMinc round to 1 d.p Select the correct response round to the nearest cent
Option (B) is the correct response.
Given:AC (Q)=0.005Q²+0.142Q+105.4To minimize the average cost AC(Q) we need to differentiate the cost function with respect to Q and equate it to 0.
d/dQ (AC(Q))= 0.01Q + 0.142 = 0Q=14.2/0.01= 1420AC(Q)=0.005(1420)²+0.142(1420)+105.4AC(Q)= 100.11Hence, the minimum average cost ACMinc round to 1 d.p is $100.1 (rounded to the nearest cent).Option (B) is the correct response.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
85-4x<40
12 cars
Step-by-step explanation:
85-4x<40
Solve for x.
-4x<-45
x<11.25
If he build 11 cars, the amount of tires would be over 40, so if he builds 12 cars, it will be below 40.