What is the slope of a line that is perpendicular to the line 2y – 3x = 8?
Answer:
\( = \frac{3}{2} \)
Step-by-step explanation:
\(y = mx + c\)
Here,
m => slopec => interceptIn this equation ,
\(2y - 3x = 8\)
to find the value of m or the value of slope we have to solve for y
Let's solve,
\(2y - 3x = 8 \\ 2y = 8 + 3x \\ \frac{2y}{2} = \frac{8 + 3x}{2} \\ y = 4 + \frac{3x}{2} \\ y = \frac{3x}{2} + 4\)
So, the slope is,
\( = \frac{3}{2}\)
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.
Answer:
C 1/10 × 33
D 0.1 × 33
Hope that helps
write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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to make sure you understand the derivation based on the five assumptions (a-e), select the correct order in which the assumptions were used in the derivation above.
The correct order of the assumptions used in the derivation is: A, B, C, D, E. A states that the population is large, B: random, C: representative, D: large, and E states that the sampling is done without replacement.
The derivation of the Central Limit Theorem was based on five assumptions: (a) The population is large, (b) The sample is random, (c) The sample is representative, (d) The sample size is large, and (e) The sampling is done without replacement. The first assumption used in the derivation is that the population is large, which means that the number of individuals in the population is much greater than the sample size. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases. The second assumption used is that the sample is random, which means that each individual in the population has an equal chance of being selected for the sample. This helps to ensure that the sample is representative of the population as a whole. The third assumption is that the sample is representative, which means that the characteristics of the sample are similar to those of the population. This is important because it allows us to make generalizations about the population based on the sample. The fourth assumption is that the sample size is large. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases.
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200% of what number is 66?
Answer:
33
Step-by-step explanation:
Because 66 is 200% just divide that by 2. Then 33 would be 100%
Find the exact solution of x
2x³=28
O 14
O 328
2
O 23/7
O ±314
Answer: See below
Step-by-step explanation:
To find the solution of x, we want to use inverse operations to isolate x. The inverse operations are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
\(2x^3=28\) [divide both sides by 2]
\(x^3=14\) [cube root both sides]
\(x=\sqrt[3]{14}\)
I don't see this listed as an answer, but I'm assuming it is meant to be option D.
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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(X-3)^2. Open this bracket
Given ΔABC, m∠C = 90° , m∠ ABC = 30° , AL ∠ Bisector CL = 6ft. Find LB (Feet)
WILL GIVE BRAINLIEST!!
Answer:
The Answer is 12 feet
Step-by-step explanation:
This is my second account lol I just wanted to give Angie the brainliest!
Answer:
10 feet
Step-by-step explanation:
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
N is an integer -1 < n < 4 list the possible values of n
Answer:
0 1 2 3
Step-by-step explanation:
Since n is an integer
We have n = { 0 1 2 3 }
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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6 1/9 + 2 2/9 simpfly
Answer:
8 3/9 = 8 1/3
Step-by-step explanation:
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
WHATS X AND Y??
Y = 3x+ 4 and 2x – 4y = -6
Answer:
X=-1, y=1
Step-by-step explanation:
Substitute value of y in first equation (3x+4) with y of second equation.
2x-4(3x+4)=-6
2x-12x-16=-6
-10x=10x=-1
solve for y but putting -1 for x value in either equation
y=3(-1)+4
y=-3+4
y=1
nick used 1 3/4 kg of salt to melt the ice on his sidewalk. He then used another 3 4/5 kg on the driveway. How much salt did he use in all?
Answer:
5 11/20
Step-by-step explanation:
1 3/4 + 3 4/5
Get a common denominator of 20
1 3/4 * 5/5 + 3 4/5 *4/4
1 15/20 + 3 16/20
4 31/20
Rewriting
4 + 20/20 + 11/ 20
4+1 + 11/20
5 11/20
The perimeter of a playing field for a certain sport is168 ft. The length is 42 ft longer than the width. Find the dimensions.
Answer:
width : 21ft
length : 63ft
Step-by-step explanation:
(42ft + w) + (42ft + w) + w + w = 168ft
42ft + w + 42ft + w + w + w = 168ft
w + w + w + w = 168ft - 42ft - 42ft
4w = 84ft
w = 84ft ÷ 4
w = 21ft
so,
width : 21ft
length : 21ft + 42ft = 63ft
What is the ratio of the leg opposite the angle to the leg adjacent to the
angle.
Answer:
tangent (angle) or tan (angle)
Step-by-step explanation:
tangent (angle) = the leg opposite the angle / the leg adjacent to the angle
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
Which set of ordered pairs represents a function?
{(5, -8), (8,-1), (8,7), (-4,2)}
{(-9,-9), (7, -9), (-7, -7), (9,-8)}
{(4,7), (-7,-4), (6,8), (-7,6)}
{(0,8), (-7,2), (4, -9), (4, -3)}
Answer: The second one
Step-by-step explanation:
That's the only set where there is only one output for every input.
Determining the Value of an Unknown
What is the value of n in the equation --(2n + 4) + 6 = -9 + 4(2n + 1)?
The value of n in the given equation is 1.
Define Algebraic Expression
In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)
Given equation,
-1/2 (2n + 4) + 6 = -9 + 4(2n + 1)
Now, solve for n
first, solve the brackets
-1/2 * 2n + (-1/2) * 4 + 6 = -9 + 4*2n + 4 * 1
-n - 2 + 6 = -9 + 8n + 4
Solve the constants on both the sides,
-n + 4 = 8n - 5
Now, take out n value one side and constant terms other side
-n - 8n = -5 - 4
-9n = -9
Cancel out -9 from both the sides,
n = 1
Hence, the value of n in the given equation is 1.
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Give the sum of -2 3/8 + 1 1/4 in simplest form
Write a multiplication equation to show an equivalent fraction of 15 using fifteenths.
Explain how the two fractions are equivalent.
A multiplication equation to show an equivalent fraction of 15 using fifteenths would gives 10/75
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We have to write an equivalent fraction of 15 using fifteenths.
2/15
So let multiply by 5 .
2 / 15 x 5/ 5 = 10/75
Thus, 10/75 is equivalent expression.
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HELP HELP HELP HELP HELP HELP PLEASE
Answer:
A
Step-by-step explanation:
How many terms are in the expression when simplified
Answer:
There are four (4) different terms
Step-by-step explanation:
Given;
2x + 3xy - (x + y) + 2
The terms are simplified as follows;
=2x + 3xy - (x + y) + 2
= 2x + 3xy - x - y + 2
collect like terms;
= 2x - x - y + 3xy + 2
= x - y + 3xy + 2
Thus, there are four (4) different terms in the simplified expression.
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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What is the value of x?
Answer:
Is x = - 70
Step-by-step explanation:
If its wrong tell me
help me please? i needa help. am bad at maths.
Answer:
6/3 or 2 (you should probably write 2 though)
(there’s a couple notes in the pic too that will help you with slopes)