Answer:
C, B
Step-by-step explanation:
Basically to find the slope you take the rise over run. How many squares does the line go up, over how many does it go left or right. As you can see in the diagram, it goes up 2 squares and goes left 1 square, giving the slope 2/1, which is 2.
The slope of a horizontal line is straight, which means it goes up 0, so automatically your answer is zero, because dividing anything by 0 is 0.
Write the equation of a line in slope-intercept form that passes through the given points. Through: (1,3) and (2,7)
Answer:
y = 4x - 1
Step-by-step explanation:
(1, 3) ; (2 ,7 )
\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{7-3}{2-1}\\\\=\frac{4}{1}\\\\= 4\\\\\\y - y_{1} = m(x -x_{1})\\\\y - 3 = 4(x - 1)\\\\y - 3 =4x - 4\\ y = 4x - 4 + 3\\y = 4x - 1\)
the diagram shows a star made by surrounding regular octagon with triangle. explain why angle A must be 135 degrees
straight line is 180
180 - 45 = 135
he total cost for Larry, a mechanic for agricultural machines, can be expressed by the equafion \( T \mathrm{C}=50+10 Q^{2} \), whee \( Q \) is the number of repairs made by him. Which of the followin
The statements that are true for Larry's Auto Shop, with regards to the fixed cost and variable cost of the organization is the option A.
A. Statement I and II are true
What is a fixed cost?A fixed cost of production is a cost that remains the same as the production level changes. The basic infrastructure, rent, salaries, insurance, and taxes on the property are associated with the fixed cost of the organization.
The possible equation for the total cost for Larry, obtained from a similar question in the internet;
T = 50 + 10·q²
Where;
q = The quantities of repairs made by Larry's Auto Shop
I. When 0 repairs are produced, the variable cost is 0, therefore, the fixed cost = The total cost = 50 + 10 × 0² = 50
The fixed cost = The total cost
II. The above equation used to calculate the total cost = the fixed cost when 0 repairs are produced, indicates that the fixed cost = $50
III. The fixed cost is a fixed amount which remains the same for all amount of output produced, therefore, the the statement Larry Auto Shop's fixed cost depends on the level of output that is produced.
The possible statements in the question are;
I. When Larry's Auto Shop produces 0 repairs, its fixed cost equals its total cost
II. Larry's Auto Shop's fixed cost is equivalent to $50
III. The fixed cost of Larry Auto Shop depends on the level of output that is produced.
The options are;
(A) I and II are true
(B) I and III are true
(C) I, II, and III are true
(D) Statement I is true
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5.Tammy rents an apartment close to her school campus. She pays $600 per month. r is the amount spent on rent and m is the number of months she stays in the apartment. Write the two equations that represent this proportional relationship.
Answer:
The two equations are
r = 600m
and
r/600 = m
Step-by-step explanation:
Here, we want to write equations
The equation is;
r(m) = 600m
where r is the amount spent and m is the number of months
r = 600m
and r/600 = m
??? HELP FAST
What is a area
Answer:
100 in^2
Step-by-step explanation:
Four right triangles area of each = 1/2 b * h each has b = 5 h = 10
apparently not drawn to scale
4 * 1/2 ( 5 * 10) = 100 in^2
Write an equation the describes the line passing through point (0,7) with slope - 7/3
Answer:
\(y=\frac{7}{3}x+7\)
Step-by-step explanation:
\(y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7\)
For these kinds of problems, the point-slope formula comes in handy.
The point-slope form (y - y1 = m(x - x1) +b) uses the slope and a point given to find the y-intercept, or in this case, the equation of the line.
First, we plug the known #'s into the equation, then solve.
y - 7 = -7/3( x -0)
y - 7 = -7/3x
+7 +7
y = -7/3x +7
Therefore, the equation of the line is: y = -7/3x + 7
Hope this helps!
A news program invites its viewers to call in and share their position on a proposed tax increase. Ninety percent of the viewers that call in say that they will vote against the tax increase. For which population is 90\%90%90, percent a legitimate estimate of the percent of voters who will vote against the tax increase? Choose 1 answer: Choose 1 answer: (Choice A) A Only those viewers who called in (Choice B) B Only viewers of this particular episode (Choice C) C Only regular viewers of the show (Choice D) D Only those who have watched this show at some point (Choice E) E All voters
Answer:
(Choice A) Only those viewers who called in
Step-by-step explanation:
The statement tell us Ninety percent of the viewers that call in say that they will vote against the tax increase.
This explains it is option A .
Choice B is incorrect as all viewers may not have called in.
Choice C is also incorrect all regular viewers do not call in.
Choice D is incorrect calls are not received at any point at only specific time.
Choice E is incorrect because all voters again may not call in.
Solve the following quadratic equation by using factorization and formula.
1. x(square) + 12x + 35 = 0
Can i ask how to solve it?
Answer:
x=-7, -5
Step-by-step explanation:
x^2+12x+35=0
(X+5)(X+7)=0
x=-7, -5
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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What is the value of x in the equation 2.5 minus 0.25 x = negative 3
Answer:
-22
Step-by-step explanation:
The _____ of a type of measurement indicates how free that measurement is from random error. Multiple Choice validity verifiability reliability utility generalizability
Answer:
Reliability
Step-by-step explanation:
Here, we want to select the option that best completes the given question
The correct answer is the reliability
When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error
Measurements that are free from random error are said to be reliable
what does the equation x 2 y 2 = 4 correspond to if a) x, y are the only variables being considered, b) x, y, z are the only variables being considered.
The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.
a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.
b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.
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solve x^2-8x-9=0 using completing the square (show the work)
Answer: x=9,-1
Step-by-step explanation:
First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8
Those numbers would be -9 & 1
-9+1=-8
-9x1=-9
Now we have
(x-9)(x+1)
x-9=0 x+1=0
+9 +9 -1 -1
x=9 x=-1
please help!!!!!!!!!!!!!!!!
Answer:
the answer is simple you just p times a
and d
Step-by-step explanation:
:]
Answer:
hope this help you
Step-by-step explanation:
p times x and d
Slope of line that passes through (3,6) and (8,2
Answer:
-4/5
Step-by-step explanation:
To find the slope of a line with two points, we do y2-y1/x2-x1.
y2 is 2. y1 is 6.
2-6 = -4
x2 is 8. x1 is 3
8-3 = 5
-4/5 is the answer meaning it is the slope.
Answer:
Slope of this line = -4/5.
Step-by-step explanation:
The formula is
Slope = (y2-y1)/(x2-x1) where (x1, y1) and (x2, y2) are the 2 points.
So here we have:
(6-2)/(3-8)
= -4/5.
A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)
(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x
The probability mass function p(x) can be derived from the cdf by taking differences:
p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06 x = 10.1 x = 20.17 x = 30.36 x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)
The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.
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What is the equivalent fractions for 3/10?
Answer:
6/20, 15/50, 9/30, 30/100, 12/40, 18/60....
Step-by-step explanation:
Its just multiplying the fraction by any whole number.
Make sure to do both the numerator and the denominator!
(hope this helps)
3√2-√6+10√2
simplified form
The value of simplified form of the expression is,
⇒ √2 (13 - √3)
We have to given that;
The expression is,
⇒ 3√2-√6+10√2
Now, We can simplify as;
⇒ 3√2 - √6 + 10√2
⇒ 3√2 - √2 × √3 + 10√2
⇒ 13√2 - √2 × √3
⇒ √2 (13 - √3)
Thus, The value of simplified form of the expression is,
⇒ √2 (13 - √3)
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.The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 3. x = 1, y = 9
The given problem states that x and y vary inversely, and by using the given values, an equation is formed (x * y = 9) which can be used to find y when x = 3 (y = 3).
Since x and y vary inversely, we can write the equation as x * y = k, where k is a constant.
Using the given values x = 1 and y = 9, we can substitute them into the equation to find the value of k:
1 * 9 = k
k = 9
Therefore, the equation relating x and y is x * y = 9.
To find y when x = 3, we substitute x = 3 into the equation:
3 * y = 9
y = 9 / 3
y = 3
So, when x = 3, y = 3.
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Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and leading coefficient. If the function is not a polynomial, state why. f(x)=x^4(2-x^3)+1
Answer:
The correct option is
This is a polynomial function of degree 7 with a leading coefficient of -1
Step-by-step explanation:
Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions
Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1
Which can be expanded as follows
f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;
f(x) = -x⁷ + 2·x⁴ + 1
Which is polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7
Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.
help me please im struggiling with this
Answer:
Step-by-step explanation:
Its easy if you think about it, the median is the middle number of the equation so you line the numbers up in order- least to greatest.
1,1,1,1,1,1,2,2,2,2,2,3,4,4,4.
Cross out the numbers until you hit one middle number!
Median is 2.
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
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What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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Jude types 840 characters in 5 minutes. What is her typing rate in characters per minute?
Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?
If $300 is invested at a rate of 5% per year and is compounded quarterly, how much will the investment be worth in 20 years?
Use the compound interest formula A equals P times the quantity 1 plus r divided by n end quantity raised to the power of n times t..
$810.45
$515.28
$384.61
$109.67
Answer:
(a) $810.45
Step-by-step explanation:
You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.
Compound interestThe compound interest formula tells you the value is ...
A = P(1 +r/n)^(nt)
where P = 300, r = 0.05, n = 4, t = 20.
Using the given parameters in the given equation, you find the account value to be ...
A = $300(1 +0.05/4)^(4·20) ≈ $810.45
__
Additional comment
The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.
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A receipt is _______________.
A.
A book for recording transactions
B.
A record of a product that hasn’t been paid for
C.
A record of a transaction that already happened
D.
A method of issuing invoices
Answer:
A receipt is a record of a transaction that apready happened.
In the given figure PS = PR, Angle TPS = Angle QPR. prove that Triangle PST = Triangle PQR
Answer:
Triangle PST ≅ Triangle PQR by ASA
Step-by-step explanation:
We know that because line segments PS and PR are congruent, then ∠PRS and ∠PSR must also be congruent because of the Isosceles Triangle Theorem, which states that if two sides of a triangle are congruent, then angles opposite those sides are congruent.
Therefore, the angles supplementary to ∠PRS and ∠PSR (∠PRQ and ∠PST respectively) must also be congruent to each other since we've already stated that ∠PRS and ∠PSR are congruent due to the Isosceles Triangle Theorem.
So, we can prove triangles PST and PQR congruent by ASA (Angle-Side-Angle).
Helppppppppppppppppppp
Answer:
X=Y since x and y are alternating angles
GIVING BRAINIEST (open attachment)
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer