Answers
Answer:
3
Step-by-step explanation:
The line is at 3 when x is -2
Related Questions
y=mx+b example; y=mx+b calculator; writing linear equations in slope-intercept form answer key; write equation in slope intercept form calculator; standard form equation; slope-intercept form examples; point slope form calculator; how to find the y-intercept
Answers
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
linear equations in slope-intercept :
To determine the equation of a line, you may use two variations of the general form of a line.
These formulas are:
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
standard form equationThe standard form of a linear equation, also known as the “general form“, is:
ax+by=c
The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.
A few notes on Standard Form:
The a term must be a positive integera ,b, and cc cannot be decimals or fractionshow to find the y-interceptLet us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x
3y-5x=30
3y-5(0)=30
3y=30
y=10
Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.
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A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?
5
5.5
6
Answers
Answer:
5
Step-by-step explanation:
This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:
\(3^2 + 4^2 = c^2\)
c = 5
A newly constructed fish pond contains 3000 liters of water. Unfortunately the pond has been contaminated with 5 kg of a toxic chemical during the construction process. The pond's filtering system removes water from the pond at a rate of 200 liters/minute, removes 50% of the chemical, and returns the same volume of (the now somewhat less contaminated) water to the pond. Write a differential equation for the time (measured in minutes) evolution of:
Answers
Answer:
\(\frac{dm}{dt}=-\frac{m}{30}\)
Step-by-step explanation:
We are given that
Volume of water in fish pond,V=3000 L
Mass of toxic chemical=5 kg
Rate=200L/min
Removes chemical=50%
We have to find the differential equation for the time.
Let mass of toxic at any time t= m kg
Rate=Rate in-Rate out
\(\frac{dm}{dt}=200\times 0-\frac{m}{3000}\times 200\times \frac{50}{100}\)
\(\frac{dm}{dt}=0-\frac{m}{30}\)
\(\frac{dm}{dt}=-\frac{m}{30}\)
The differential equation for the time is \(\frac{dm}{dt} = -\frac{m}{30}\)
The given parameters are:
Volume of water in the pond, \(V=3000 L\) Mass of the chemical, \(m =5 kg\) Rate, \(r = 200L/min\) Proportion of chemicals removed, \(p=50\%\)
The differential equation for the time is then calculated as:
\(\frac{dm}{dt} = R_{in} -R_{out}\)
Where:
\(R_{in} = 200 \times 0 = 0\) --- the rate in
\(.R_{out} = \frac{m}{3000} \times 200 \times 50\% = \frac{m}{30}\) --- the rate out
Substitute these values in \(\frac{dm}{dt} = R_{in} -R_{out}\)
\(\frac{dm}{dt} = 0 -\frac{m}{30}\)
\(\frac{dm}{dt} = -\frac{m}{30}\)
Hence, the differential equation for the time is \(\frac{dm}{dt} = -\frac{m}{30}\)
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Which set of values could be the side lengths of a 30-60-90 triangle?
O A. {6,613, 12)
O B. {6, 12, 12.3}
O C. {6,6.12, 12}
O D. {6, 12, 12/3)
Answers
Answer:
I think :
c is 30 triangle
b is 60 triangle
d is 90 triangle
What is the area of the shaded region?
Answers
Answer:
80 mm²
Step-by-step explanation:
Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.
Four percent of the U.S. workforce test positive for illicit drugs. You randomly select 35 workers.
QUESTIONS: Round ANSWERS to 3 decimal places
12. Find the probability that the number of workers who test positive for illicit drugs is exactly two
13. Find the probability that the number of workers who test positive for illicit drugs is between 2 and 6, inclusive.
14. Find the probability that the number of workers who test positive for illicit drugs is more than two
Answers
This is a binomial distribution problem with n=35 trials and a probability of success (testing positive for illicit drugs) of p=0.04.
I. To find the probability that exactly two workers test positive, we can use the binomial probability formula:
P(X = 2) = (35 choose 2) * 0.04^2 * (1 - 0.04)^(35-2)
where (35 choose 2) is the number of ways to choose 2 workers out of 35.
Evaluating this expression using a calculator, we get:
P(X = 2) ≈ 0.168
So the probability that exactly two workers test positive is about 0.168.
II. To find the probability that between 2 and 6 workers (inclusive) test positive, we can use the cumulative binomial probability:
P(2 ≤ X ≤ 6) = P(X ≤ 6) - P(X ≤ 1)
where P(X ≤ 6) is the probability that 6 or fewer workers test positive, and P(X ≤ 1) is the probability that 1 or fewer workers test positive (we need to subtract this from P(X ≤ 6) to exclude cases where less than 2 workers test positive).
Using the binomial cumulative probability table, we find:
P(X ≤ 6) ≈ 0.764
P(X ≤ 1) ≈ 0.141
So:
P(2 ≤ X ≤ 6) = 0.764 - 0.141 ≈ 0.623
Therefore, the probability that between 2 and 6 workers (inclusive) test positive is about 0.623.
III. To find the probability that more than two workers test positive, we can subtract the probabilities of 0, 1, and 2 workers testing positive from 1 (the total probability):
P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
Using the binomial probability formula again, we find:
P(X = 0) ≈ 0.171
P(X = 1) ≈ 0.347
P(X = 2) ≈ 0.168
So:
P(X > 2) = 1 - (0.171 + 0.347 + 0.168) ≈ 0.314
Therefore, the probability that more than two workers test positive is about 0.314.
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5^3 – (64 : 8) + 10^2
Answers
STEP 1: Identify and Set Up
The question is a test of our understanding of the mathematical operations to employ before the others. Typically, there is an acronym that gives a hint on the order as stated below:
B - Bracket
O - Of
D/M - Division/Multiplication
A/S - Addition/Subtraction.
We have brackets in our question so we take care of it first,
Then we treat the numbers raised to powers.
Lastly, we now do the addition and subtraction.
STEP 2: Execute
\(\begin{gathered} 5^3-(64\div8)+10^2 \\ 5^3-8+10^2 \\ 125-8+100 \\ 125+100-8 \\ 225-8=217 \end{gathered}\)Answer = 217
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x=25
Step-by-step explanation:
Equilateral Triangle
Equilateral triangles are identified because they have all three sides of the same length and all three angles of the same measure.
The image shows a triangle with its three angles as congruent, thus it is an equilateral triangle.
Since we have two conditions and only one variable, we must be sure both conditions produce the same answer for x.
Equating two of the side lengths:
4x - 30 = 2x + 20
Subtracting 2x, and adding 30:
4x - 2x = 30 + 20
Operating:
2x = 50
x = 25.
Substituting x=25 in all the side lengths:
4x - 30 = 4*25 - 30 = 70
2x + 20 = 2*25 + 20 = 70
3x - 5 = 3*75 - 5 = 70
Once verified, it's sure that x=25
In certain deep parts of oceans, the pressure of sea water,P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation P=14+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and find it to be 306 pounds per square foot, at what depth is the team making their measurements?
Answers
It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.
The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.
Substituting P = 306 in the equation, we get:
306 = 14 + 4d/9
Multiplying both sides by 9, we get:
2754 = 126 + 4d
Subtracting 126 from both sides, we get:
2628 = 4d
Dividing both sides by 4, we get:
d = 657 feet
The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.
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A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answers
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
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What are the 2  formulas to find the area of a circle
Answers
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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Apples are $.29 per pound and I want to buy 8 pounds how much would I pay?
Answers
Answer: the answer is $2.32
Answer:
2.32
Step-by-step explanation:
.29 Multiplied by 8 = 2.32
Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answers
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answers
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
Answers
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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Deondra has $420 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
• She buys a new bicycle for $236.31.
She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for $34.75.
She plans to spend some or all of the money she has left to buy new biking outfits for $59.50 each .
Write and solve an inequality which can be used to determine o, the number of outfits Deondra can purchase while staying within her budget.
Answers
Step-by-step explanation:
rate the deck I will destroy anyone
(9x-4)°
(3x+ 14)°
solve for x=
don’t understand how to find the answer
Answers
Answer:
x=3
Step-by-step explanation:
Simplifying
9x + -4 = 3x + 14
Reorder the terms:
-4 + 9x = 3x + 14
Reorder the terms:
-4 + 9x = 14 + 3x
Solving
-4 + 9x = 14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-4 + 9x + -3x = 14 + 3x + -3x
Combine like terms: 9x + -3x = 6x
-4 + 6x = 14 + 3x + -3x
Combine like terms: 3x + -3x = 0
-4 + 6x = 14 + 0
-4 + 6x = 14
Add '4' to each side of the equation.
-4 + 4 + 6x = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 6x = 14 + 4
6x = 14 + 4
Combine like terms: 14 + 4 = 18
6x = 18
Divide each side by '6'.
x = 3
Simplifying
x = 3
Answer:
x = 3Explanation:
Write your equation
(3x + 14) = (9x - 4)Subtract 9x from both sides
3x + 14 − 9x = 9x − 4 − 9x
−6x + 14 = −4
Subtract 14 from both sides
−6x + 14 − 14 = −4 − 14
−6x = −18
Divide both sides by -6
−6x / -6 = −18 / -6
x = 3[ zyxx ]
how many hundred billions in the number 432,845,979,484
Answers
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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20 POINTS AND BRAINLIEST!!!! PLEASE HELP!!!
Explain how the Distributive Property can be used to eliminate the fractions in the equation 15x+8=110x+9.
Answers
Answer:
x= -1/95
Step-by-step explanation:
Step 1: Subtract 110x from both sides.
15x+8−110x=110x+9−110x
−95x+8=9
Step 2: Subtract 8 from both sides.
−95x+8−8=9−8
−95x=1
Step 3: Divide both sides by -95.
−95x
−95
=
-1/95
x=
−1/95
Using distributive property the solution of the equation is x= −1/95
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
Given that the equation; 15x + 8 = 110x + 9.
Step 1: Subtract 110x from both sides.
15x + 8 − 110x = 110x + 9 − 110x
−95x + 8 = 9
Step 2: Subtract 8 from both sides;
−95x + 8 − 8 = 9 − 8
−95x = 1
Step 3: Divide both sides by -95;
x= −1/95
Hence, Using distributive property the solution of the equation is x= −1/95
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Which is a correct way of writing the equation of the line that passes through the points shown in the
table?
XY
-2-2
02
26
Answers
The correct way of writing the equation of the line that passes through the points are y = -3x - 5.
What are equation ?Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.
The slope-intercept form, point-slope form, and standard form are the three primary types of equations. These equations provide sufficient details about the line to make graphing them simple.
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7.) A plane was flying at an altitude of 35,000 feet. It descended 6,000 feet to avoid some
bad weather. What is the new altitude of the plane after it descended?
Answers
Need this answered as soon as possible please!! Flo is designing a rectangular billboard using a scale drawing. the billboard is 6 m long. Flo draws a rectangle 12 cm long. The area of Flo's rectangle is 72 cm squared. What is the area of the billboard in square meters?
Answers
Divide: 7 5/6 ÷ 2/3 need help
Answers
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
The radius of a circle is 9 inches. What is the circle's circumference?
Use 3.14 for
Answers
Answer:
56.52
Step-by-step explanation:
The formula for circumference is C=2πr
So, C=2(3.14)(9)
C=56.52 answer
need help asap will mark brainliest!!!!!
Answers
Answer:
number 4
Step-by-step explanation:
A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?
Answers
C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.
Translate the following: "Four times a number n is equal to the difference between that number and 10"
Answers
Answer:
4n=10-n
n=2
Step-by-step explanation:
add n to both sides
5n=10
divide both sides by 5
n=10/5
n=2
Select all lengths that are equal to 3 yards 16 inches.
Answers
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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23 ft
Area =
64 ft?
Volume =
Answers
Hope this helps have a nice day
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
Answers
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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