a line passes through the point (0,-4) and has a slope of 3/2. what is equation of the line?
Answers
Answer:
\(y=\frac{3}{2}x-4\)
Step-by-step explanation:
Use the equation of a line: y=mx+b.
First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).
\(y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b\)
Now that we have the b value, we can create the equation:
\(y=\frac{3}{2}x-4\)
Related Questions
Corrine is purchasing beads to make a new necklace and bracelet set. The two pieces of jewelry each need silver and green beads. The necklace requires 25 silver beads and 15 green beads. The bracelet requires 10 silver beads and 5 green beads. Corrine paid $27.50 for the necklace beads and $10 for the bracelet beads. How much does each silver bead cost? How much does each green bead cost? Be sure to show your work and explain your answer.
Answers
Each silver bead costs $0.50, and each green bead costs $1.
Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.
According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.
The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.
Using this information, we can set up the following system of equations:
25s + 15g = 27.50 (Equation 1)
10s + 5g = 10 (Equation 2)
We can solve this system of equations using any appropriate method, such as substitution or elimination.
Let's use the elimination method to solve the system:
Multiplying Equation 2 by 3, we get:
30s + 15g = 30 (Equation 3)
Subtracting Equation 3 from Equation 1:
25s + 15g - (30s + 15g) = 27.50 - 30
-5s = -2.50
s = 0.50
Now, substituting the value of s into Equation 2:
10(0.50) + 5g = 10
5 + 5g = 10
5g = 5
g = 1
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James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
Answers
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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A car sold 120 cars in April the dealership wants to increase the number of cars sold by 15% in may how many cars will the dealership need to sell to reach there goal
Answers
Answer:
18
Step-by-step explanation:
15 x 20%=18
Answer:
138
Step-by-step explanation:
because when you add 18 to 120 it is 138
Your job is as an administrative assistant for factory operations for a company producing Whatchamacallits. Your boss hands you the information that the factory produces 4 Whatchas in the first hour, 8 total after hour 2, 12 total after 3 hours and 16 after 4 hours. You are tasked to produce an equation that models the number of Whatchas produced given the hours worked, and to find the predicted number of Whatchas produced if the factory can run for 50 hours uninterrupted.
Find an explicit formula for the nth term of the sequence 4,8,12,16... and use the equation to find the 50th term in the sequence. Show your reasoning for the equation.
Answers
Answer:
200
Step-by-step explanation:
\(a_n}\) = a + (n-1)d
\(a_{50}\) = 4 + (50 -1)4
\(a_{50}\) = 4 + 49(4)
\(a_{50}\) = 4 + 196
\(a_{50}\) = 200
a = the initial value.
n = the term
d = the common difference
Helping in the name of Jesus.
Santa ate 3/7 of the candies, & Mrs. Claus ate 2/7 of them. What part of the candies has been eaten?
Answers
Solution:
According to the problem, we have that:
Santa ate 3/7 of candies
and
Mrs. Claus ate 2/7 of the same candies.
Then the total part of the candies consumed by both is:
\(\frac{3}{7}+\frac{2}{7}=\frac{5}{7}\)this means that both have consumed 5/7 of the total candies.
So that, we can conclude that the correct answer is:
\(\frac{5}{7}\)Angelica the Alligator is laying our next to a perfectly circular pond. She is 9 feet from the edge of the pond and 15 feet from the point of tangency. Determine the radius of the pond.
Answers
9514 1404 393
Answer:
8 ft
Step-by-step explanation:
Consider the attached diagram.
The rule for secants and tangents tells us ...
(AC)(AB) = (AT)²
AC = AT²/AB = 15²/9 = 25
Then the diameter is ...
BC = AB - AC = 25 -9 = 16
The pond has a diameter of 16 ft, so a radius of 8 feet.
__
Additional comment
Since point C is the nearest point on the edge of the pond to point A, it must lie on line AO. Hence BC must be a diameter.
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
Answers
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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Please help me for a treat lol
Answers
Answer:
a) Jill ended her scooter ride at her house.
Step-by-step explanation:
Help pleaseeeeeee !!!!
Answers
Answer:
answer is 29
Step-by-step explanation:
subtract 27 from 56 and it equals 29
the Cowboys have a record of 16 wins to 4 losses. The
Texans have a record of 18 wins to 3 losses. Which team
has a better record
Answers
Step by Step Explanation: To find which team is better you have to make there w/l's simplified, you do that by dividing 16 by 4 making the Cowboys winning 4 games per lose; then the Texans, 18 divided by 3 that makes the Texans win 6 times per lose so the Texans are better.
It takes 24 minutes for a pump to empty a tank. A larger pump can empty the tank in half the time. How long would it take to empty the tank with both pumps operating?
Answers
Express the following in exponential notation:
(-13) X (-13).
35 times
Answers
Answer:
\((-13) * (-13) = (-13)^{2}\)
\(35 * 35 = 35^{2}\)
Step-by-step explanation:
Given
\((-13) * (-13)\)
Required
Express as an exponential notation
\((-13) * (-13)\)
Apply the following law of indices
\(x^a * x^b = x^{a+b}\)
This gives:
\((-13) * (-13) = (-13)^{1+1}\)
\((-13) * (-13) = (-13)^{2}\)
The second complete is incomplete; However, I'll assume it is: 35 times 35
\(35 * 35\)
Using the same law applied in (1) above:
\(35 * 35 = 35^{1+1}\)
\(35 * 35 = 35^{2}\)
25 ≥ 5u u = 5
True of false ( show work )
Answers
Answer:
true
Step-by-step explanation:
plug in u. u=e
25>= 5x5
25>=25
true
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.
Answers
Answer:
a) The population of interest = 10,000 benefited employees. It includes all benefited employees.
b) The sample collected = 3,095. These are the benefited employees who participated in the study.
c) Indication of demographic variables as categorical or numerical:
Demographic data: Categorical or Numerical
Gender = Categorical
Age (years) = Numerical
Education level = Numerical
(years completed)
Marital status = Categorical
Household income ($) = Numerical
Employment Category = Categorical
Step-by-step explanation:
a) Data and Calculations:
Population of interest = 10,000 benefited employees
Sample = 3,095 participants
Demographic data:
Gender
Age (years)
Education level (years completed)
Marital status
Household income ($)
Employment Category
b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.
help pls home work home qork
Answers
Answer:
the answer is this sign >. it means the answer on the left is greater than the one on the right
Find the area of the polygon
(Thank you!)
Answers
Answer:
29 1/4 ft^2
Step-by-step explanation:
When a specific variety of radish is grown without
fertilizer, the weights of the radishes produced are
, normally distributed with mean 40 g and standard
deviation 10 g.
Determine the proportion of radishes grown:
a) Without fertilizer with weights less than 50 grams
C
b) Without fertilizer with weights between 20 and 60 g
c) Without fertilizer with weights greater than 60 g
0
Submit
When the same variety of radish is grown in the same
way but with fertilizer added, the weights of the
radishes produced are also normally distributed, but
with mean 140 g and standard deviation 40g.
Determine the proportion of radishes grown:
d) With fertilizer with weights less than 60 grams
e) With fertilizer with weights between 20 and 60 g
f) With fertilizer with weights greater than 60 g
Answers
Answer:
Step-by-step explanation:
a) Without fertilizer with weights less than 50 grams:
Let X be the weight of radishes produced without fertilizer. Then, X ~ N(40, 10^2).
We need to find P(X < 50).
Using the standard normal distribution, we have:
Z = (X - 40)/10
P(X < 50) = P(Z < (50-40)/10) = P(Z < 1) = 0.8413 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown without fertilizer with weights less than 50 grams is 0.8413.
b) Without fertilizer with weights between 20 and 60 g:
We need to find P(20 < X < 60).
Using the standard normal distribution, we have:
Z1 = (20 - 40)/10 = -2
Z2 = (60 - 40)/10 = 2
P(20 < X < 60) = P(-2 < Z < 2) = 0.9544 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown without fertilizer with weights between 20 and 60 grams is 0.9544.
c) Without fertilizer with weights greater than 60 g:
We need to find P(X > 60).
Using the standard normal distribution, we have:
Z = (60 - 40)/10 = 2
P(X > 60) = P(Z > 2) = 0.0228 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown without fertilizer with weights greater than 60 grams is 0.0228.
d) With fertilizer with weights less than 60 grams:
Let Y be the weight of radishes produced with fertilizer. Then, Y ~ N(140, 40^2).
We need to find P(Y < 60).
Using the standard normal distribution, we have:
Z = (60 - 140)/40 = -2
P(Y < 60) = P(Z < -2) = 0.0228 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown with fertilizer with weights less than 60 grams is 0.0228.
e) With fertilizer with weights between 20 and 60 g:
We need to find P(20 < Y < 60).
Using the standard normal distribution, we have:
Z1 = (20 - 140)/40 = -3
Z2 = (60 - 140)/40 = -2
P(20 < Y < 60) = P(-3 < Z < -2) = 0.0668 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown with fertilizer with weights between 20 and 60 grams is 0.0668.
f) With fertilizer with weights greater than 60 g:
We need to find P(Y > 60).
Using the standard normal distribution, we have:
Z = (60 - 140)/40 = -2
P(Y > 60) = P(Z > -2) = 0.9772 (using a standard normal table or calculator)
Therefore, the proportion of radishes grown with fertilizer with weights greater than 60 grams is 0.9772.
10( x+1/2)=3x+5+7x
Please help
Answers
Answer:
All real numbers are solutions
Step-by-step explanation:
10(x + 1/2) = 3x + 5 + 7x
~Distribute left side
10x + 5 = 3x + 5 + 7x
~Combine like terms
10x + 5 = 10x + 5
~Subtract 5 to both sides
10x = 10x
~Divide 10 to both sides
x = x
~Subtract x to both sides
0 = 0
Best of Luck!
We simplify the equation to the form, which is simple to understand
10(x+1/2)=3x+5+7x
Simplifying:
10*(x + 0.5)=3x+5+7x
Reorder the terms in parentheses
+(+10x+5)=3x+5+7x
Remove unnecessary parentheses
+10x+5=+3x+5+7x
We move all terms containing x to the left and all other terms to the right.
+10x-3x-7x=+5-5
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
There are a total of 55 people at a birthday party. There are three times as many kids at the party as parents, and there are five fewer grandparents than parents. Use the guess and check method to find out how many kids are at the birthday party?
Answers
Answer:
165
Step-by-step explanation:
Answer:
27
Answer:
Answer:
20,30,13,10,14,10,10,?,?,?
Answers
Answer:
10,13,14,20,30.............
Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answers
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
Jackson sampled 101 students and calculated an average of 6.5
hours of sleep each night with a standard deviation of 2.14. Using
a 95% confidence level, he also found that t* = 1.984.
confidence interval = X±t* s/√n
A 95% confidence interval calculates that the average number
of hours of sleep for working college students is between
hours. Answer choices are rounded to the
hundredths place.
Answers
Using the t-distribution, the 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
What is a t-distribution confidence interval?The confidence interval is:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem, the parameters are given as follows:
\(\overline{x} = 6.5, s = 2.4, t = 1.984, n = 101\)
Hence the bounds of the interval are:
\(\overline{x} - t\frac{s}{\sqrt{n}} = 6.5 - 1.984\frac{2.4}{\sqrt{101}} = 6.03\)\(\overline{x} + t\frac{s}{\sqrt{n}} = 6.5 + 1.984\frac{2.4}{\sqrt{101}} = 6.97\)The 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
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Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
Answers
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answers
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
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Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.
Answers
What are the 2 most important factors taken into account when calculating credit
score?
Answers
Answer:
Payment history makes up 35% of your credit score.
Your utilization rate makes up 30% of your credit score.
hope its correct
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Three times the sum of 2 and e
Answers
Answer:
6 + 3e
Step-by-step explanation:
The expression in the mathematical form will be 6 + 3e.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Three times the sum of 2 and e. Then the expression in the mathematical form will be
The sum of 2 and e will be
⇒ 2 + e
Then the three times the sum of 2 and e will be
⇒ 3(2 + e)
⇒ 6 + 3e
The expression in the mathematical form will be 6 + 3e.
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Evaluate x divided 4 for x=48
Answers
Answer:
12
Step-by-step explanation:
x/4
Let x=48
Replace x in the expression
48/4
12