Answer:
y=x-6
Step-by-step explanation:
For the slope, you just put an "x" because that's what it means just 1 instead of 1x, it's easier if you do that. The y-intercept is -6 so you just put it after the slope.
Suppose two quantities, A and B, have different dimensions. Determine which of the following arithmetic operations could be physically meaningful.
a. B-A
b. A-B
c. A+B
d. AB
e. A/B
Answer:
d. AB
e. A/B
Step-by-step explanation:
From the concept of homogeneity of dimension. The principle is that if two quantities occurs in the same direction, addition and subtraction of those two variable tends to occur but if two quantities occur in different direction, then we can only have either the division and multiplication of those quantities.
From the given information;
Suppose two quantities, A and B, have different dimensions.
The arithmetic operations that could be physically meaningful are :
d. AB
e. A/B
All of the following represent three multiplied by six except:
3x6
3.6
316)
3:6
The statement represent three multiplied by six is 3 x 6 or 3.6
What is Multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
We have,
We have to represent three multiplied by six.
1. 3 x 6 shows three multiplied by six.
2. 3. 6 also shows three multiplied by six.
3. 316 not shows three multiplied by six.
4. 3:6 shows the division of 3 and 6.
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Suppose a parole board has to decide whether a prisoner, a convicted murderer, is to be released. The null hypothesis would state that the prisoner has not been rehabilitated. Which one of the following decisions and outcomes represents a Type I error? The prisoner is released and kills a family of five in cold blood within 48 hours. The prisoner is released and becomes a model citizen, The prisoner is denied release when in fact he has been totally rehabilitated The prisoner is denied release and continues to get into trouble within the prison and to spend time in solitary confinement
The decision and outcome that represents a Type I error in this scenario is if the prisoner is released and kills a family of five in cold blood within 48 hours. A Type I error occurs when the null hypothesis is rejected even though it is actually true. In this case, if the parole board releases the prisoner based on the hypothesis that they have been rehabilitated but in reality, they have not been rehabilitated, it would result in a Type I error. The prisoner's release would lead to a tragic outcome, which could have been avoided if the null hypothesis had not been rejected.
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Direct, inverse, or neither?: xy = 15
Ethan is planning flowers in boxes East flower box can hold 4 Ethan wants to plan 38 red flowers and 33 white flowers in the flower boxes what is the fewest number of flower boxes he would need to plant all the flowers
Answer:
18 flower boxes
Step-by-step explanation:
Given that:
Capacity of each flower box = 4
Number of flowers to plant :
Red = 38
White = 33
Total = (38 + 33) = 71 flowers
Fewest number of flower boxes needed to plant all flowers :
Total flowers to plant / capacity of each plant
71 / 4
= 17.75
= 18 boxes
The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?
−5
−2
2
5
Answer:
5
Step-by-step explanation:
The response is 5. The slope is always the coefficient of x in a slope-intercept equation.
Answer:
The correct answer for this equation is -5 I know this because when I went to my previous middle school my old teacher had me grade this exact question.
Step-by-step explanation:
can someone write down the steps how you go from f(x) to g(x)
Answer:
this is an example of your question
I hope it helps
Please, please someone help me with this, it's 2 in the morning I just need help
The evaluation of the expression - 8 - (- 2 + 7)² is -33.
How to evaluate an expression?- 8 - (- 2 + 7)²
Using PEMDAS
P = parenthesis
E = Exponential
M = Multiplication
D = Division
A = Addition
S = Subtraction
- 8 - (- 2 + 7)²
= - 8 - (5)²
= - 8 - 25
= -33
Hence, -33 is the results of the evaluation of the expression.
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A certain pickup truck gets 14 mpg in the city and 21 mpg on the highway. If the driver drives 220 mi on 12 gal of gas, determine the number of city miles and
highway miles that the truck was driven?
Complete the square to find the solutions of x for this equation.
x^2 + 14x =-13
Select the correct answer from each drop-down menu. The given equation is equivalent to (x +__)^2 = __.
The values of x that make this equation true are __and __ .
Completing squares we will get:
(x + 7)^2 = 36
And the solutions are x = -1 and x = -13
How to complete squares?Here we have the quadratic equation:
x^2 + 14x = -13
Remember that a square trinomial is:
(a + b)^2 = a^2 + b^2 + 2ab
we can rewrite our quadratic equation to get:
x^2 + 2*7*x + 13 = 0
So we have:
a = x
b = 7
Then we can add and subtract 7^2, so we will get:
x^2 + 2*7*x + 13 + 7^2 - 7^2 = 0
(x^2 + 2*7*x + 7^2) + 13 - 7^2 = 0
(x + 7)^2 = -13 + 7^2
(x + 7)^2 = 36
Now we can solve this, let's apply the square root in both sides:
(x + 7) = ±√36
x + 7 = ±6
x = ±6 - 7
Then the two solutions are:
x = (6 - 7) = -1
x = (-6 - 7) = -13
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Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.
The mean of the sample means of the given data is 40
The provided sample size is 100, with a standard deviation 20and mean of the as 25.
Mean of the population, μ = 25
The standard deviation of the population, σ = 20.
Size of the sample, n = 100
Let X be the mean of the sample means,
The formula for the sample mean is
X = μ
where μ, as we know is the mean of the population
By substituting the value in the above equation, we get
X = 40
Therefore, we get the mean of the sample means is 40
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Rectangle 1 has an area on 60.81 square centimeters. Rectangle 2 has an area of 61.44 square centimeters. Rectangle 3 has an area of 35.52 square centimeters. Rectangle 4 has an area of 47.88 square centimeters. Part A “which two rectangles have the greatest difference in area?” Part B “Look at your answer to part A. What is the difference between those two rectangles areas?”
The most appropriate choice for area of rectangle will be given by-
Difference between area of rectangle 2 and area of rectangle 3 is the largest.
Difference is 25.92 \(cm^2\)
What is area of rectangle?
Area of rectangle is the total space taken by the rectangle.
If l is the length of the rectangle and b is the breadth of the rectangle, then area of rectangle is given by
Area of rectangle = \(l \times b\)
Here,
Area of rectangle 1 = 60.81 \(cm^2\)
Area of rectangle 2 = 61.44 \(cm^2\)
Area of rectangle 3 = 35.52 \(cm^2\)
Area of rectangle 4 = 47.88 \(cm^2\)
Difference between Area of rectangle 1 and rectangle 2 =
(61.44 - 60.81)\(cm^2\)
= 0.63 \(cm^2\)
Difference between Area of rectangle 1 and rectangle 3 =
(60.81 - 35.52)\(cm^2\)
= 25.29 \(cm^2\)
Difference between Area of rectangle 1 and rectangle 4 =
(60.81 - 47.88)\(cm^2\)
= 12.93 \(cm^2\)
Difference between Area of rectangle 2 and rectangle 3 =
(61.44 - 35.52)\(cm^2\)
= 25.92 \(cm^2\)
Difference between Area of rectangle 2 and rectangle 4 =
(61.44 - 47.88) \(cm^2\)
= 13.56 \(cm^2\)
Difference between Area of rectangle 3 and rectangle 4 =
(47.88 - 35.52) \(cm^2\)
= 12.36 \(cm^2\)
Difference between area of rectangle 2 and area of rectangle 3 is the largest.
Difference is 25.92 \(cm^2\)
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Factorise the following
\(4 {a}^{2} v {}^{5} - 18av {}^{2} \)
The factors of the given expression are 2av² and (2av³-9).
The given expression is 4a²v⁵-18av².
The factors are the polynomials which are multiplied to produce the original polynomial.
2av²(2av³-9)
Therefore, the factors of the given expression are 2av² and (2av³-9).
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Please help me....Could you answer these 2 questions correctly?
Answer:
A
Step-by-step explanation:
for the two of them, the first answer is the answer
Answer:
#1 - First option: y + 7 = \(\frac{-1}{4}\)(x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = \(\frac{-1}{4}\);
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = \(\frac{-1}{4}\)(x -4)
y + 7 = \(\frac{-1}{4}\)(x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = \(\frac{(y2-y1)}{(x2-x1)}\) = \(\frac{(3-(-5))}{(4-0)}\) = \(\frac{8}{4}\) = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
Please give the answer fast .
I will mark you as brainliest.
Answer:
Your handwriting is really nice! Here is what I have so far:
Step-by-step explanation:
1. x + y
A: (2) + (4) = 6
2. (Don't remember how to do this one.)
3. 2x - 7
A: 2(-1) - 7 = -9
4. 7x^2 - 12x + 13
A: 7(16) - 12(4) + 13 = 112 - 48 + 13 = 77
5. -3p^2 + 4p + 7
A: -3(4) + 4(-2) + 7 = -12 -8 + 7 = -13
6. 3a -(a+2b)
A: 3(1) -([1] + 2[-1]) = 3 + (-1 + 2) = 3 + 1 = 4
7. (I can not see the value of Y.)
8. (I can't understand the equation. Please type it out for me in the comments.)
I need clarification for a few before I continue.
Answer:
Step-by-step explanation:
x+y
2+4
6
m-7
9-7
2
2x-7
2(-1)-7
-1-7
-8
7x^2-12x+13
7(4)^2-12(4)+13
7(16)-48+13
112-48+13
77
-3p^2+4p+7
-3(-2)^2+4(-2)+7
-3(4)+(-8)+7
-12+-56
-68
3a-(a+2b)
3(1)-(1+(-2))
3-(-2)
5
5x+2y-(x+y)
Answer: N/a
Value of y not available
5x+6y-32
5(1)+6(-1)
5+(-6)
-1
b^2-5a^3
-2^2-5(-4)^3
4-5(-64)
4-320
316
2a-b/c
Answer: N/A ]
Value of c not known
V = 4 + 2r solve for r
Answer:
r = V/2 - 2
Step-by-step explanation:
Answer: r=1/2v−2
Step-by-step explanation:
v=4+2r
2r+4=v
2r+4+−4=v+−4
2r=v−4
2r/2=v−4/2
r=1/2v−2
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.
(b)The probability that the selected individual owns shares in a bond fund is 26%.
(c)The probability that the selected individual does not own shares in a stock fund is 57%.
(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.
(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:
Short bond: 14%
Intermediate bond: 7%
Long bond: 5%
Total bond funds: 14% + 7% + 5% = 26%
So, the probability that the selected individual owns shares in a bond fund is 26%.
(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:
Moderate-risk stock: 25%
High-risk stock: 18%
Total stock funds: 25% + 18% = 43%
So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.
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--The question is incomplete, answering to the question below--
"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
Money-market 23%
High-risk stock 18%
Short bond 14%
Moderate-risk stock 25%
Intermediate bond 7%
Balanced 8%
Long bond 5%
A customer who owns shares in just one fund is randomly selected.
(a)What is the probability that the selected individual owns shares in the balanced fund?
(b) What is the probability that the individual owns shares in a bond fund?
(c) What is the probability that the selected individual does not own shares in a stock fund?"
Write two numbers that multiply to the value on and add to the value on bottom
xy = 66
x + y = 17
x = 11
y = 6
11 times 6 = 66
11 plus 6 = 17
Answer is 11 and 6
Evaluate 1/2x^4 – 3/4x² for x = 2.
Answer:
\(-\frac{5}{32}\)
Step-by-step explanation:
\(\frac{1}{2(2)^4}-\frac{3}{4(2)^2} \\\frac{1}{32} - \frac{3}{16} = -\frac{5}{32}\)
-2(-5v+2w-5)
Use distributive property
Answer:
10 v − 4 w + 1
Step-by-step explanation:
Simplify the expression.
In parallelogram MLKJ, find mZMLK
and mZLKJ.
18°
M
K
12°
L
So on solving the provided question, we can say that here in the quadrilateral; angle MJL = angle JLK = 60
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here in the quadrilateral
angle MJL = 60
angle MJL = angle JLK = 60
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Use the given information to write an equation of the circle.
radius 7 , center (-6,13)
Using the given information, the equation of the circle with radius 7 and center located at (-6 , 13) is (x + 6)^2 + (y - 13)^2 = 49.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (-6 , 13)
r = 7
(x - -6)^2 + (y - 13)^2 = 7^2
(x + 6)^2 + (y - 13)^2 = 49
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at a butcher shop hilda bought beef and pork. she left with 18 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal. write whether the decimal repeats or terminates
Pls help I’ll give u brain crown
Answer:
Look below.
Step-by-step explanation:
18 8/25 is a mixed number or mixed fraction.
In order to convert a mixed number into decimal form, you need to divide the numerator by the denominator
8 ÷ 25 = 0.32
Next add the decimal (0.32) to the whole number from the mixed fraction
18 + 0.32 = 18.32
This is how many pounds she bought. This decimal terminates.
Using conversion of improper fraction to a decimal, we find that she bought 18.32 pounds of meat, which is a terminating decimal.
The amount of mean she left, in pounds, was of:
\(18\frac{8}{25}\)
We want to convert the improper fraction to decimal, which is made adding the decimal fraction to the integer part, that is:
\(18\frac{8}{25} = 18 + \frac{8}{25} = 18 + 0.32 = 18.32\)
The division of 800 by 25 is exact(32), thus terminating decimal, and she bought 18.32 pounds.
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Raina, Chang, and Alonzo sent a total of 94 text messages during the weekend. Alonzo sent 3 times as many messages as Chang. Raina sent 9 more messages than Chang. How many messages did they each send
Answer:
Chang sent 17 messages, Alonzo sent 51 and Raina sent 26.
Step-by-step explanation:
You turn the word problem into an algebraic expression and solve
Please please help I need to do it for tomorrow
Answer:
657000
Step-by-step explanation:
first you solve the 10^5 and 10^4. Then you solve the multiplication. Last, you solve the addition:
(6.31 * 10^5 ) + (2.6 * 10^4) =
(6.31 * 100000 ) + (2.6 * 10000) =
631000 + 26000 =
657000
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
[A] S, = 19531
[B] S, = 16536
[C] Sy = 15631
D] S, = 31256
[E] None of these
Understanding:
The sum of a geometric series is, \(a+ar+ar^2+ar^3+...\), with a being the start point and r is the common ratio. We can also use the following formula to make life easier \(S_n=a\frac{1-r^n}{1-r}\), a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
Solution:
Our start point is 1, \(a=1\),
The common ratio is 5, \(r=5\),
And finally, the number of terms is 7, \(n=7\).
\(S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531\)
The answer is [A] 19531.
For the circle centered at the origin with radius 4 and equation x^2+y^2=16 find dx/dt.
dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.
What is implicit differentiation?The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.
Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.
Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.
So, the dx/dt will be:
The circle's equation is: x² + y² = 16
Assuming that x = 2, then:
2² + y² = 16
y² = 12
y = ±√12
Hence, the first quadrant is positive:
y = √12
y = 2√3
When implicit differentiation is used, we get that:
2x dx/dt + 2y dy/dt = 16
If fracdydt = -3, as is the case, then
2(2) dx/dt - 12√3 = 16
4 dx/dt = 16 + 12√3
dx/dt = 16+12√3/4
dx/dt = 4+3√3
Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.
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1/(1+x^(a-b)) + 1/1+x^(b-a))
\(\cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{1}{1+x^{b-a}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{b-a}}\implies \cfrac{1}{1+x^{-(a-b)}} \implies \cfrac{1}{1+\frac{1}{x^{a-b}}}\implies \cfrac{1}{\frac{1+x^{a-b}}{x^{a-b}}}\implies \cfrac{x^{a-b}}{1+x^{a-b}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{x^{a-b}}{1+x^{a-b}}\implies \cfrac{1+x^{a-b}}{1+x^{a-b}}\implies \text{\LARGE 1}\)
If you get paid $13 per hours and work 8 hours and 45 minutes how much money did you earn? round your answer to the nearest hundred?
Answer:
113.75
Step-by-step explanation:
13$ x 8.75 h (45 minutes is 3/4 of an hour) = $113.75
keeping in mind that an hour has 60 minutes, so you're really getting paid $13 per 60 minutes, so now, 8 hours and 45 minutes is just 8*60 + 45 = 525 minutes.
\(\begin{array}{ccll} \$&minutes\\ \cline{1-2} 13 & 60\\ x& 525 \end{array} \implies \cfrac{13}{x}~~=~~\cfrac{60}{525} \\\\\\ \cfrac{ 13 }{ x } ~~=~~ \cfrac{ 4 }{ 35 }\implies 455=4x\implies \cfrac{455}{4}=x\implies 113.75=x\)
The height above the ground, h, in feet, of a bullet fired upward is given by the formula
h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.
Answer:
After 7 seconds it hits the ground.
h= -16^2 + 80x + 224
(I'm assuming this is what you meant, because these problems are generally quadratic)
Use quadratic formula to find when it hits the ground (get zeros)
x = -2, x = 7
After 7 seconds it hits the ground.