Answers
Answer:
\(m=\frac{y_2-y_1}{x_2-x_1}\) and \(m=\frac{-5-3}{12+4}\)
Step-by-step explanation:
The correct formula for finding the slope is:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
This formula represents the change in y over a corresponding change in x. This is a mathematical representation of "rise" (y-axis movement) over "run" (x-axis movement).
For the second question, let
\((x_1,y_1)=(-4,3)\\(x_2,y_2)=(12,-5)\)
So,
\(m=\frac{(-5)-(3)}{(12)-(-4)}\\m=\frac{-5-3}{12+4}\)
Related Questions
3. The monkeys get fed 6 buckets of vegetables for every 2 buckets of cereal. How many buckets of vegetables do the monkeys get fed if they get 8 buckets of cereal?
Answers
thanks for the free points
HELP? :) please :) :)
Answers
Answer:
circumference of circle=2πr=2×3.14×3.5=21.98=22
A car was bought in February 1, 2015 for $25,000, and its value depreciates by 1.5% every single month. The value of the car m months since February 1, 2015 is given by the formula V(m)=25,000(r)m. Find the value of the car on June 1, 2017. Round your answer to the nearest cent.
Answers
Answer:
$16,373.99
Explanation:
The value of the car m months since February 1, 2015, is given by the formula:
\(V\left(m\right)=25,000\left(r\right)^m\)First, find the value of r.
Since the car's value depreciates by 1.5% every single month, then:
\(r=1-1.5\%=1-0.015=0.985\)Next, determine the number of months between February 1, 2015, and June 1, 2017.
• The number of months, m = 10 + 12 + 6 = 28 months
Substitute these values into V(m):
\(\begin{gathered} V(28)=25000(0.985)^{28} \\ =\$16373.99 \end{gathered}\)The value of the car on June 1, 2017, is $16,373.99 (correct to the nearest cent).
Hence, the value of the car in the month June \(1,2017\), is $\(16,373.99\)
What is an equation?
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
The value of the car m months since February \(1,2015\), is
Now, we have to find the value of \(r\).
As the car's value depreciates by \(1.5\)% in every single month:
Next, find out the number of months between February \(1,2015\), and June \(1,2017\).
Number of months,
\(m = 10 + 12 + 6 = 28\)months
Now, Substitute these values into \(V(m):\)
The value of the car in the month June \(1,2017\), is $\(16,373.99\)
Hence, the value of the car in the month June \(1,2017\), is $\(16,373.99\)
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Solving for b in this problem
Answers
Answer:
b = 3
Step-by-step explanation:
1. Subisitute P, a, and c (P = 41, a = 19, c = 19 ) into the equation:
P = a + b + c -> 41 = 19 + b + 19
2. Combine like terms:
41 = 38 + b
3. Isolate the variable by subtratcing 38 from both sides
41 - 38 = 38 -38 + b -> 3 = b
(Show in number line): 2x<x+7
Answers
x
x
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
x
<
7
x
<
7
Interval Notation:
(
−
∞
,
7
)
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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Eagle-Eye is a financial house which has two branches; one in Accra and the other in Legos. The year 2021 was a boom financial year for this young company of which the company made net positive return of $250 million. In comparative analysis to determine which of the two markets is more viable, it came out clearly that Accra market is $40 million more than twice the Legos market.
I) Formulate appropriate system of equations for the net financial return in the financial year in question.
II)Express the net return from the two markets as ratio of Accra Market to Legos market in the simplest form
Answers
The system of equations are:
a + l = 250 million equation 1.
a = 40 million + 2l equation 2
Where:
a = profit made in Accra l = profit made in LagosThe ratio of net return is 18 : 7
What is the profit made in the Lagos market?Substitute for a in equation 1 using equation 2
40 + 2l + l = 250
40 + 3l = 250
3l = 250 - 40
3l = 210
l = 210 / 3
l = 70 million
What is the profit made in the Accra market?Subtract 70 million from 250 million: 250 - 70 = $180 million
The ratio of returns : 180 million : 70 million
18 : 7
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To maintain essential electricity, a gasoline generator at a Puerto Rico hospital uses 3 gallons of gasoline per hour. a) How many gallons of gas are needed to fuel the generator for 1 full day? 72 2 points b) How much co2 will be produced by running the generator for 1 full day? 2 points
Answers
The mass of the CO2 produced IS 630 Kg
What is gasoline?Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.
The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.
Since a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L
Now;
Given that the density of gasoline = 748.9 g/L
Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg
Number of moles of gasoline = 204 * 10^3/114 g/mol = 1789.5 moles
If 2 moles of gasoline produces 16 moles of CO2
1789.5 moles produces 1789.5 moles * 16 moles/2 moles = 14316 moles
Mass of CO2 = 14316 moles * 44 g/mol = 630 Kg
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HELP I WILL MARK BRANLIEST PLEASE HELP ASAP
Answers
Answer:
120
Step-by-step explanation:
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
A vending machines coin box contains nickels dimes and quarters. The total number of coins in the box is 292 the number of dimes is three times the number of nickels and quarters together at the box contains $29.95. find the number of nickels dimes and quarters that it contains.
Answers
There are 32 quarters, 225 dimes, and 53 nickels in the vending machine.
Let's denote the number of nickels by N, the number of dimes by D, and the number of quarters by Q.
From the first sentence, we know that:
N + D + Q = 292 (total number of coins)
From the second sentence, we know that:
D = 3(N + Q) (the number of dimes is three times the number of nickels and quarters together)
From the third sentence, we know that:
0.05N + 0.1D + 0.25Q = 29.95 (total value of the coins is $29.95)
Now we can substitute the second equation into the third equation to get:
0.05N + 0.1(3(N + Q)) + 0.25Q = 29.95
0.05N + 0.3N + 0.1Q + 0.25Q = 29.95
0.35N + 0.35Q = 29.95
N + Q = 85
We can now substitute this last equation into the first equation to get:
N + D + Q = 292
N + D + 85 = 292
N + D = 207
We can substitute the second equation into this last equation to get:
N + 3(N + Q) = 207
4N + 3Q = 207
We can now solve the system of equations consisting of the last two equations we derived:
N + Q = 85
4N + 3Q = 207
Multiplying the first equation by 4 and subtracting it from the second equation:
4N + 3Q - 4(N + Q) = 207 - 4*85
-N = -53
N = 53
Substituting this value into the equation N + Q = 85:
53 + Q = 85
Q = 32
Finally, we can use the equation D = 3(N + Q) from earlier to find the value of D:
D = 3(N + Q)
D = 3(53 + 32)
D = 225
Therefore, the vending machine contains 53 nickels, 225 dimes, and 32 quarters.
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Find m/H.
126⁰
F G
m/H=
(6x - 1)
H
(5x +17)
Answers
Answer:
59 degrees
Step-by-step explanation:
180 - 126 = 54
6x-1 + 5x + 17 +54 =180
11x + 70 = 180
11x = 180 -70
11x = 110
x =10
Therefore
6(10) - 1 = 59 degrees
For what values does c have no solutions?
Answers
Solve for c :
x⁴ + cx² + 100 = 0
cx² = -(x⁴ + 100)
c = - (x⁴ + 100)/x²
If x = 0, the right side is undefined and c would have no solution.
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
What is the measure of the third angle?
Answers
Answer:
80
Step-by-step explanation:
every triangle, no matter what shape or size, will have all angles add up to 180 degrees so 180-40-60=80
GIVING BRAINLIEST PLS HELP
Answers
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
what do I do?????????
Answers
A fact family is made up of three numbers. Just as in any family the members, or numbers, are related and there are always at least four math facts to be made with them. Take, for example, these members of a fact family: 6, 4, and 10.
In the family 6, 4, and 10 they are related because you can add two of the numbers to get the last number.
6 + 4 = 10
You can also switch the first two numbers, using the commutative property of addition, and still get the same answer.
4 + 6 = 10
Just find how they can relate! Hope it helps!
Answer:
3 times 6 = 18 2 times 5 = 10
6 times 8 = 18 5 times 2 = 10
18 divided by 6 = 3 10 divided by 2 = 5
18 divided by 3 = 6 10 divided by 5 = 2
Revisit Exercise 1.2.18 about the study on Rhesus monkeys. When given a choice between two boxes, 30 out of 40 monkeys approached the box that the human had gestured toward, and 10 approached the other box. The purpose is to investigate whether rhesus monkeys can interpret human gestures better than random chance.
1.3.16 For this study:
a. State the null hypothesis and the alternative hypothesis in the context of the study.
b. Determine the standardized statistic from the data. (Hint: You will need to get the standard deviation of the simulated statistics from the null distribution in an applet.)
c. Interpret the standardized statistic in the context of the study. (Hint: You need to talk about the value of your observed statistic in terms of standard deviations assuming ______ is true.)
d. Based on the standardized statistic, state the conclusion that you would draw about the research question of whether rhesus monkeys have some ability to understand gestures made by humans.
Answers
Null hypothesis \(H_0\) : p = 0.5 and alternative hypothesis \(H_1: $p \neq 0.5$\)
The standardized statistic from the data is 3.1623
The observed standardized statistic is 3.1623
Based on the standardized statistic, we conclude that there is enough evidence to suggest that these monkeys can interpret human gestures better than random chance.
As per the given data: a choice between two boxes, 30 out of 40 monkeys approached the box that the human had gestured toward, and 10 approached the other box.
Here, p = proportion of rhesus monkeys who tan interpret human gestures better.
a) Null hypothesis \(H_0\) : p = 0.5
Alternative hypothesis \(H_1: $p \neq 0.5$\)
b) Given, \($\hat{p}=\frac{x}{n}=\frac{30}{40}=0.75, p_0=0.5$\)
Standardized test statistic,
\($Z=\frac{\hat{p}-p_0}{\frac{p_0\left(1-p_0\right)}{n}} \stackrel{H_0}{\sim} N(0,1)$\)
Therefore the standardized statistic from the data = 3.1623
c) Assuming \($H_0$\) is true, the value of the observed standardized statistic is 3.1623 standard deviations above the mean(=0).
d) Now, p-value \($=2 \times \min [p(z > 3.1623), p(z \leq 3.1623)]$\)
= 0.00157
Since p-value <0.05, we reject \($H_0$\).
We conclude that there is enough evidence to suggest that these monkeys can interpret human gestures better than random chance.
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Can someone pls answer 150 divided by 30
Answers
Answer:
5
Step-by-step explanation:
150/30 = 15/3 = 5
Good luck!
Answer:
5
Step-by-step explanation:
30 x 5=150
which could be a possible root of 3x4 10x3 9x2 40x 12 0
Answers
\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root
What is a root ?
Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.
Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
3x^4 -10x^3 -9x^2 + 40x - 12
=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)
=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)
= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
Answers
Answer:
Step-by-step explanation:b
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?]
Answers
Answer:
a) The probability that a randomly chosen specimen has an acceptable hardness is 0.7938.
b) If the acceptable range of hardness is (70-c, 70+c), then the value of c would 95% of all specimens have an acceptable hardness of 5.88.
c) Expected number of acceptable specimens among the ten is 7.938.
d) Binomial with n = 10 and p = P(X < 73.84)
\(p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635\)
Step-by-step explanation:
a )
\(P(67 < X< 75) = P( (67 - 70) / 3 < X < (75 - 70) / 3 )\\\\= P( - 1 < Z < 1.67) = 0.9525 - 0.1587 = 0.7938\)
b )
\(c = 1.96 * 3 = 5.88\) { Since Z = 1.96 for 95% CI refer table.}
c )
Expected number of acceptable specimens among the ten \(= 10 * P(67 < X< 75) \\\\= 10 * 0.7938 = 7.938\)
d )
Binomial with n = 10 and p = P(X < 73.84)
\(p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635\)
find the measure of minor arc RV
Answers
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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Pearl collected some rare coins. Tate collected 20 times as many rare coins. Tate collected 120 rare coins. How many rare coins did Pearl collect?
Answers
Answer:
120/20=6 pearl collected 6
Step-by-step explanation:
If Tate collected 20 times as many rare coins as Pearl, we can set up a proportion to find out how many coins Pearl collected. Let x be the number of rare coins Pearl collected. Then we have:
x / 120 = 1 / 20
To solve for x, we can cross-multiply:
20x = 120
Dividing both sides by 20, we get:
x = 6
Therefore, Pearl collected 6 rare coins.
Ok ok ok ok ok ok ok ok ok ok ok
Answers
Answer:
ok
Step-by-step explanation:
Answer: huh
Step-by-step explanation:
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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How would I do this?
Answers
Answer:
A general rule when dealing when exponents:
An exponent of 0 is will always result in 1
An exponent of 1 results in the base number itself. The answer would be B, 1
Mark as brainliest if possible :)
Answer: B. 1
Step-by-step explanation: 4.51 to the power of 0 is 1.
Everything to the power of 0 will always equal 1.
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
T1, –9(x, y)
T–1, –9(x, y)
T–9, 1(x, y)
T–9, –1(x, y)
Answers
The function rule that describes the given translation is T-9, 1(x, y).
The first value in the function rule represents the horizontal translation, while the second value represents the vertical translation. In this case, the square is translated 1 unit to the right, indicating a positive horizontal translation.
Additionally, the square is translated 9 units down, indicating a negative vertical translation. Therefore, the correct function rule is T-9, 1(x, y).
In the coordinate plane, the x-coordinate represents the horizontal position, and the y-coordinate represents the vertical position. When we apply the function rule T-9, 1 to the coordinates of the square, we subtract 9 from the y-coordinate and add 1 to the x-coordinate.
This results in the square being moved 9 units down and 1 unit to the right from its original position.
The negative sign in front of the 9 indicates a downward movement, and the positive sign in front of the 1 indicates a rightward movement. Hence, the translation is accurately described by the function rule T-9, 1(x, y).
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Answer:
C
Step-by-step explanation:
Using the inverse trig functions, find the measure of angle A to the nearest degree.
1. 43 degrees
2. 37 degrees
3. 90 degrees
4. 53 degrees
