All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees
Answer:
Step-by-step explanation:
The largest angle will be opposite the longest side.
Use law of cosines
276² = 223² + 258² - 2(223)(258)cosθ
θ = 69.596009... = 69.60°
Which is closest to answer b)
is it linear??? plzzzzz
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary
Answer:
either 98 girls and 83 boys or 181 students in Ross elementary school
Step-by-step explanation:
98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.
Simplify the expression. w+w+5w
Answer:
w+w+5w = 7w
Step-by-step explanation:
Answer:
7w
Step-by-step explanation:
find the value of (-7/10)(2/5)
Answer:
the answer to (-7/10)(2/5) is -7/25.
or if you need decimal form it is -0.28
Step-by-step explanation:
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1
The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.
Procedure - Determination of the volume of a solid of revolutionLet [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].
The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:
[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)
After substituting on each function and simplifying terms we get the following integral:
[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]
[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]
And the volume of the solid of revolution is:
[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]
[tex]V = \frac{11\pi}{30} [/tex]
The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]
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Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
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A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft
We know that the circumference of a circle of diameter D is given by:
C = 3.14*D
Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:
C = 3.14*10ft = 31.4 ft
You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.
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why is upendrakishore roy chouwdhury remembered
Answer:
Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.
Step-by-step explanation:
history ig
The equilateral triangle with side 12 has altitude
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
AC=50 ∴BC=25
DF is the opposite of BC ( take it as a square BCDF)
What would be the next number in this series? 135 45 180 60 240 80
Answer:
135/45 =3
180=45 multiple by 4
180/60=3
240=60 multiple by 4
It is divide.by 3 and multiply by 4
hence =80 multiply 4= 320
Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.
Answer:
The answer is 3 hours
Step-by-step explanation:
In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.
From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.
The proportion and the standard error for each sample are given by:
[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:
[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
Hence, the standard error is of 0.0558.
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Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?
Hai drink 11/24 gallons of water in all day
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Hai has 1 gallon jug of water.
Drinks 1/8 gallons of water before lunch
2/3 gallons of water after lunch.
We need to find how much water did Hai drink all day.
Now we have to add the water he drink.
1/8+2/3
LCM of 8 and 3
3+8/24
11/24
Hence, he drink 11/24 gallons of water in all day.
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whats the answer can someone answer please
Answer:
Step-by-step explanation:
21.
4(x + 7) - 2x
4x + 28 - 2x
2x + 28
answer: 2x + 28
22.
8(a + b) + 5(2a - 5b)
8a + 8b + 10a - 25b
18a - 17b
answer: 18a - 17b
-------------------------------------
Jhon's solution is wrong
1. first mistake
when you see this
10^5/10^4
the right solution is 10^(5 - 4) = 10^1 or just 10
2. second mistake
6.4/7.2 he inverted the fraction which is wrong
you can only invert the fraction when the power is negative
----------------------------------------------------------
now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10
or 0.9 x 10^1
or 8.9
Faktor dari bilangan 18 adalah....
Step-by-step explanation:
1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.
If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. 20 points and WILL GIVE BRAINLIEST!
It will take 3.3 years to accumulate $28,500 on this account
According to the compound amount formula expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the principal = $25,000
A is the amount = $28,500
r is the rate in decimal = 4% = 0.04
n = 2 (semi annualy)
Substitute the given parameters into the formula as shown:
[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]
Hence it will take 3.3 years to accumulate $28,500 on this account
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Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Given :
f(x) = 3x-7 , when x>0
and f(x) = -2x+3 x<0
as 6 is greater than 0, we get that :
f(6) = 3(6)-7
=> f(6) = 18-7
=> f(6) = 11
hence, option a) is correct
The value of f(6) is 11 using the equation f(x)= 3x-7.
To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.
Substituting x = 6 into the equation:
f(6) = 3(6) - 7
f(6) = 18 - 7
f(6) = 11
Therefore, the value of f(6) is 11.
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A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?
Answer:
D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.
Step-by-step explanation:
8/1 is proportional to 144/18
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
Given that, a candle factory makes colored candles to sell in packages.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
A) Does not a represents a proportional relationship
B) Does not a represents a proportional relationship
C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.
Here, the number of packages increases, the cost also increases. So, it is direct proportion.
D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.
Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
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Please solve these algebraic questions? THANKS
Step-by-step explanation:
Note: I'm only providing solutions for Problem 9.
9. Simplify the following by collecting like terms:
Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).
a) 3a + 7a
Add the coefficients of both terms.
3a + 7a = 10a
b) 4n + 3nAdd the coefficients of both terms.
4n + 3n = 7n
c) 12y - 4ySubtract the coefficient of both terms.
12y - 4y = 8y
d) 5x + 2x + 4xAdd the coefficients of all terms.
5x + 2x + 4x = 11x
e) 6ab - 2ab - baThe last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.
Now, we can perform the subtraction on all terms:
6ab - 2ab - ab = 3ab.
f) 7mn + 2mn - 2mnSubtract 2mn from 2mn, which leaves you with 7mn:
7mn + 2mn - 2mn = 7mn
g) 4y - 3y + 8For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.
4y - 3y + 8 = y + 8
h) 7x + 5 - 4x
Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.
7x + 5 - 4x = 3x + 5
i) 6xy + xy + 4y
You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.
6xy + xy + 4y = 7xy + 4y
j) 5ab + 3 + 7ba
Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.
5ab + 3 + 7ba = 12ab + 3
k) 2 - 5m - mCombine the like terms, which are the second and the last term.
2 - 5m - m = 2 - 6m
l) 4 - 2x + x
Combine the like terms, which are the second and the last term.
4 - 2x + x = 4 - x
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
If a ≠ 0 and b ≠ 0 which of the following is equivalent to 2/3a 1/b?
Answer:
58
Step-by-step explanation:
pls help with 4 4/7 -
see attached pic
How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?
Answer:
That's is not Different
Step-by-step explanation:
Including to 2000 and 6666 itself is not Different
Which of the following is not one of Garner’s Theory of Multiple Intelligences?
Question 4 options:
Linguistic intelligence
Interpersonal intelligence
Muscular intelligence
Answer:
I would say muscular
Step-by-step explanation:
none of these are really wrong, but muscular intelligence should be bodily intelligence
What is the polar form of -9-9i sq root 3
Answer:
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The polar form of Complex NumbersThe polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.
But in polar form, the complex numbers are represented as the combination of modulus and argument.
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a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?
Answer:
Hello! After reading your question I have deduced that the correct answer is 288² cm.
Step-by-step explanation:
The way I came to this conclusion was as follows:
Firstly:
If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.
This is because all four sides of a square have to be equal.
Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.
Thus both of the squares are going to be the same size, so they will have the same area.
Secondly:
If the area of one square is 144² cm then the area of the other square should also be 144² cm.
Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.
I hope this helped!
sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.
For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]The probability that at least one household has a television set is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]
0.99999984 = 99.999984% probability that at least one household has a television set.
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what is the slope of the line on the graph
Answer:
(6,0) (-6,0)
Step-by-step explanation:
sorry kung mali pero sana makahelp