By taking the difference between the y-intercepts, we conclude that the distance between the lines is 3 units.
How to find the distance between the parallel lines?A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two linear equations are parallel if and only if both lines have the same slope and different y-intercepts.
And the distance is given by the difference between the y-intercepts.
Here the lines are:
y = -3*x + 1
y = -3*x + 4
The difference between the y-intercepts gives:
4 - 1 = 3
That is the distance between the lines.
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12 | 13
1
3/4
5/6
7/8
1₁
2
Angles 1 & 4 are an example of:
1₂
· 13. PLEASE HURRY
Answer: c. Vertical angles
Step-by-step explanation:
ear Equations Question 1 of 5 Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-3, -8 OB. (1,-6) C. (-2,-4) OD. (-3. - 31
through: (4, -3) and (-5, -4)
Find point-slope form of the equation.
Answer:
y + 3 = (1/9) (x - 4)
Step-by-step explanation:
To find slope:y2-y1 / x2-x1
-4 -(-3) / -5 - 4
Double negative switches the # to a positive
-4+3 / 5 - 4
= -1 / -9
Two negatives equal a positive
m=1/9
point-slope form:y-y1=m(x-x1)
y-(-3)=(1/9)(x-4)
Solving:Double negative=positive #
y+3=(1/9)(x-4)
Distribute (1/9) to the x and -4
y+3= (1/9)x - (4/9)
Subtract 3 from both sides
y = -3.4
Jim wants to plan a meal with 150 grams of carbohydrates and 1400 calories. If green beans have 7 grams of carbohydrates and 30 calories per half cup serving and if french fried shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many servings of green beans and shrimp should he use?
There are 16 half-cup servings of beans and 4, three-ounce servings of shrimp.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represents number of half-cup servings of beans
Let y represents number of 3 ounce servings of shrimp
We have a system of equations, one for carbs and one for calories;
7x + 9y = 150
30x + 190y = 1400
Now,
30(7x + 9y) = 30(150)
-7(30x + 190y) = -7(1400 )
210x + 270y = 4440
-210x - 1330y = -8680
-1060y = -4240
y = 4
Then substitute we get;
7x + 9y = 150
7x + 9(4) = 150
7x + 36 = 150
7x = 112
x = 16
Hence; X = 16 and Y= 4
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Ill give points to whoever can answer this question
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The given system of equations has no solution.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 3 = 4 is an equation.
We have,
-3x + 3y = 4 ____(1)
2x = 2y + 6 _____(2)
From (2) we get,
x = (2y + 6) / 2
x = y + 3 ____(3)
Substituting (3) on (1).
-3 (y + 3) + 3y = 4
-3y - 9 + 3y = 4
-9 = 4
We see that there are no solutions to the given equation.
Thus,
The given system of equations has no solution.
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11. Which of the following equations best represents
the graph below?
A. -2x + 3y = 6
C. 3x - 2y = 6
B. 2x + 3y = 6
D. -3x-2y = 6
Answer: A
Step-by-step explanation:
if -(x-1)=5 find the value of -4x
if 9-6x=45 find the value of x-4
Answer:
value of -4x=16.
value of -4x=10.
A wood board 100 cm long is cut into two pieces. One piece is 26 cm longer than the other. What are the lengths of the two pieces?
Answer:
the little peice (x) is 37 cm
the second piece(x +26) = 37 + 26 = 63 cm
Step-by-step explanation:
think the little or second piece is x
and another piece is (x + 26)
according to question,
x + x+26 = 100
2x + 26 = 100
2x = 100 - 26
2x = 74
x = 74 ÷ 2
x= 37
suppose you have a sample of 29 women over 35 who have not previously given birth who exercise daily, and who have an average duration of labor of 17.3 hours and a sample variance of 37.2 hours. you want to test the hypothesis that women over 35 who have not previously given birth and who exercise daily have a different duration of labor than all women over 35 who have not previously given birth.
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.
Standard error sm = 1.634
Test statistic t = 1.102
P-value = 0.28
This is a hypothesis test for the population mean.
The claim is that women who exercise daily have a significantly different duration of labor than all women.
Then, the null and alternative hypothesis are
[tex]H_{0}[/tex] : μ=16
[tex]H_{0}[/tex] : μ≠ 16
The significance level is 0.05.
The sample has a size n=29.
The sample mean is M=17.8.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.
The estimated standard error of the mean is computed using the formula:
[tex]s_{M}[/tex] = [tex]\frac{s}{\sqrt{n} }[/tex] = [tex]\frac{8.8}{\sqrt{29} }[/tex]= 1.634
Then, we can calculate the t-statistic as
t=(M-μ)/(s/[tex]\sqrt{n}[/tex])=(17.8-16)/1.634)=1.102
The degrees of freedom for this sample size are:
df=n-1=29-1=28
This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):
[tex]P_{value}[/tex]=2.P(t≥1.102)=0.28
As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women
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HELP making flowchart
A flowchart is a diagram that shows a workflow or procedure. A diagrammatic explanation of an algorithm or a step-by-step procedure for solving a problem is another definition of a flowchart.
The phases are represented in the flowchart as a sequence of boxes of varying sizes that are connected by arrows in the right order.
This diagrammatic picture depicts a proposed fix for a specific problem. Flowcharts can be used in a range of industries to analyze, create, document, or manage a process or program. Using flowcharts, simple programs or procedures are created and documented. They, like other types of diagrams, help with process visualization. One of the many benefits is the possibility of flaws and bottlenecks becoming apparent. Common primary symbols include the ones listed below.A decision step for the information.The decision based on the information.To learn more about flowchart visit:
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Susie started a rock collection.
She started with 26 rocks. Each month she adds 5 to the collection.
Which equation can be used to find y, the total number of rocks in Susie's collection after x months?
A. y = 26x - 5
B. y = 5x + 26
C. y = 26x + 5
D. y = 5x - 26
Answer:
B) y= 5x + 26
Step-by-step explanation:
if susie starts with 26 rocks and adds 5 rocks each month and x=months then the correct option is Option B
Answer: y = 5x+26 (choice B)
==========================================
Explanation:
The equation y = mx+b is in slope intercept form
m = slope
b = y intercept
The y intercept is the starting amount. In this case, she starts with b = 26 rocks. The m = 5 refers to the fact she adds 5 rocks per month. Each time x goes up by 1, y goes up by 5. Think of slope = rise/run = 5/1
rise = 5 = go up by 5 rocks
run = 1 = each time you go up by 1 month
cuantos años tiene la luna
Answer: La luna tiene 4.53 billion anos
Step-by-step explanation:
It would take 180 minutes to fill a swimming pool using the water from 5 taps.
a) How many minutes will it take to fill the pool if only 3 of the taps are used?
b) An assumption being made in my working
is that all the taps are flowing at the same
It will take 300 minutes to fill the pool if only 3 taps are used
How to determine the number of minutes it will take to fill the pool?From the question, we have the following parameters that can be used in our solution:
Number of taps = 5 taps
Number of minutes = 180 minutes
From the above parameter, we can calculate the constant of proportionality
The constant of proportionality is calculated as
Constant of proportionality = Number of taps * Number of minutes
Substitute the known values in the above equation
So, we have the following equation
Constant of proportionality = 5 * 180
Evaluate the quotient
Constant of proportionality = 900
The number of minutes it will take to fill the pool is then calculated as
Constant of proportionality = Number of taps * Number of minutes
Where
Constant of proportionality = 900
Number of taps = 3
Substitute the known values in the above equation
So, we have the following equation
900 = 3 * Number of minutes
This gives
Number of minutes = 900/3
Evaluate
Number of minutes = 300
Hence, the number of minutes is 300 minutes
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On a standardized exam, the scores are normally distributed with a mean of
150 and a standard deviation of 10. Find the z-score of a person who scored
178 on the exam.
The z-score of the person who scored 178 on the exam is fund as 2.8.
What is defined as the normally distribution?The proper term for just a probability bell curve is the normal distribution.The mean of a normal distribution is zero, as well as the standard deviation is one. It has a skew of 0 and a kurtosis of 3.However all symmetrical distributions are normal, not all normal distributions are symmetrical.Many naturally occurring phenomena resemble the normal distribution.However, most pricing distributions in finance are not perfectly normal.For the given question,
Mean μ = 150
Standard deviation σ = 10
Observed value x = 178.
The z-score is calculated as;
z = (x - μ)/σ
z = (178 - 150)/10
z = 28/10
z = 2.8
Thus, the z-score of the person who scored 178 on the exam is fund as 2.8.
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This table shows the ratio of the number of adults to the number of students on a class field trip. A 2-column table has 4 rows. Column 1 is labeled Number of adults with entries 1, 2, 4, 6. Column 2 is labeled Number of students with entries 7, x, 28, y. Which values are missing from this table? x = y =
Answer:
x = 14 and y = 42
Step-by-step explanation:
From the two entries that have both the numbers od adults*A) and students(S) we find a ratio of S/A to be 7 for both cases. We'll make the assumption that is the same ratio in the two cases involving x and y.
To find x and y, multiply the number of adults by 7 to find the number of students,
x = 14 and y = 42
A S Ratio S/A = 7
1 7 7
2 x 14
4 28 28
6 y 42
if you have a 6.83 m solution of naoh, what is the ph of the solution? assume the solution is at 25 ° c. provide your response to one digit after the decimal.
A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions: and its
pH = 14.8344 and rounded it will be 14.8
it dissociates completely in it's ions:
NaOH -------> Na⁺ + OH⁻
So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:
[OH⁻] = 6.83 M
The pH is calculated with the following expression:
14 = pH + pOH
So, with the OH we can calculate the pOH, and then, the pH:
pOH = -log[OH⁻]
pOH = -log(6.83) = -0.8344
So the pH:
pH = 14 - pOH
pH = 14 - (-0.8344)
pH = 14.8344 and rounded it will be 14.8
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round the number 2,745 to the nearest 1,000
Answer: 3,000
Step-by-step explanation: the 7 in the hundreds place is greater than 5 so you increase the 2 in the thousands place by 1
HW Score: 83.33%, 15 of 18 points
Points: 0 of 1
An automobile purchased for $34,000 is worth $2200 after 6 years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?
The value 3 years after it was purchased is $
Carmin Wimberley
< Question 13, 1.3.29
Save
The car' s worth after the end of third year will be $18100.
What is depreciation?An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement for this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc. Depreciation is the estimated decrease in value of fixed assets over the course of a fiscal year. Large lump sum purchases are made for tangible things like real estate, machinery, vehicles, and so forth.
Given Data
An automobile purchased for $34,000 is worth $2200 after 6 years.
Annual depreciation = [tex]\frac{34000-2200}{6}[/tex]
Annual depreciation = [tex]\frac{31800}{6}[/tex]
Annual depreciation = 5300
In 3 years depreciation would be
= 5300(3)
= 15900
Thus the value after the end of third year will be:
34000 - 15900
18100
The car' s worth after the end of third year will be $18100.
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Convert to a decimal. 13 --- 4
1. Compare two spheres. The first has a diameter of 4 inches.
The second sphere has a diameter of 428 inches.
Determine the ratio of the volume of the large sphere to the volume
of the small sphere.
Ratio =
The ratio of the volume of the large sphere to the volume
of the small sphere is 1226 .
How to find the volume of 3d objects?V = 4/3 r³ is the equation to calculate a sphere's volume. The volume of a sphere is calculated using the following formula: 4/3rds of Pi and the cube of the sphere's radius. A sphere is a geometrical object that is a three-dimensional equivalent of a two-dimensional circle . A sphere is a collection of points in three-dimensional space that are all located at the same r distance from a particular point. The radius of the sphere is equal to r, and the provided point is its center. In the works of the ancient Greek mathematicians, spheres are first mentioned.
In several branches of mathematics, the sphere serves as a basic building block. Also found in nature and industry are spheres and nearly-spherical shapes.
Volume sphere = 4/3πr³
Volume of sphere 1
D = 4 inches
r = 2 inches
So,
Volume = 4/3π(2)³
= 33.51 inches³
Volume of sphere 2
D = 428 inches
r = 214 inches
So,
Volume = 4/3π(214)³
= 4.11 ×[tex]10^{7}[/tex] inches³
Ratio
= sphere 2: sphere 1
= 4.11 ×[tex]10^{7}[/tex] : 33.51
= 1226
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on a hot day, students are lining up to buy ice cream. let l be the number of people in line. write a differential equation for l using the following assumptions.
Please help me please I’m begging I WILL GIVE YOU BRAINLEST
Answer:
I haven't done much of this off the internet but from what I found you would just write the same number so 1 would be 1 however if it's super serious you might want to wait for someone else to answer this.
Step-by-step explanation:
Do number 3 please thank you.
Answer:
Answer down below!
Step-by-step explanation:
Let's rewrite the sentence and then pinpoint the exact points!
Your conclusion will be bolded!
"If you are living in California, then you live in the state that has the tallest mountain in the lower 48 states."
The conclusion is the last part of the statement that clearly states the decision based on the components of the test (or hypothesis)
I need help finding the answer too Y= 2.82x + 25.1
Answer:
-8.9 is x and y is -25.1
Step-by-step explanation:
|2x + 11| = 3
Solve for x
Answer:
x=-4 or -7
Step-by-step explanation:1: 2x+11=3
2x=-8
x=-4
2: -(2x+11)=3
2x+11=-3
2x=-14
x=-7
=
Question 2 of 2 (1 point) | Question Attempt: 5 of Unlimited
A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the
manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling Is 3200 minutes, and t
total available time for packaging is 960 minutes. Model A earns a profit of $8 for each unit sold and model B earns a profit of $11 for each unit sold. Assum.
the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
Model A : 0 unit(s)
Model B: 96 unit(s)
In linear equation, Maximize this profit equation: P = 10X + 8Y
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an uncertain variable with only one potential value. One such linear equation in one variable is 9x + 78 = 18.Bounded by (hours): Assembly hours≤ 3200, Packaging hours ≤960
Assembly time (subject to above boundary):
32A + 20B ≤ 3200
Packaging time (subject to above boundary):
8A + 10B ≤960
Maximize this profit equation: P = 10X + 8Y
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. The price of a new TV is £540, which includes 20% VAT.
Find the cost of the TV excluding VAT.
Answer:
450
Step-by-step explanation:
Based on the given conditions, formulate:
Calculate the sum or difference:
Convert decimal to fraction:
Divide a fraction by multiplying its reciprocal:
Cross out the common factor:
Calculate the product or quotient:
Answer:
Help I’ve forgotten fifth grade math
bobbie spent at least 2.35 on lunch every day for five days in a row. write an equality to show bobbies average lunch cost
Answer:
2.35 x 5 = 11.75
Step-by-step explanation:
We take 2.35 and 5. We put it in a multiplication equation and multiply. We end up with 2.35 x 5 = 11.75
joey and chloe and their daughter zoe all have the same birthday. joey is 11 year older than chloe, and zoe is exactly 11 year old today. today is the first of the 99 birthdays on which chloe's age will be an integral multiple of zoe's age. what will be the sum of the two digits of joey's age the next time his age is a multiple of zoe's age?
The sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age is of 11, and this measure was found using a system of equations.
What is the system of equations?The variables for the system of equations in this problem are given as follows:
Variable x: Joey's age.Variable y: Chloe's age.Variable z: Zoe's age.Joey is one year older than Chloe, hence:
x = y + 1.
Zoe is exactly one year old, hence:
z = 1.
The difference between the ages of Chloe's and Zoe's have 9 factors. Numbers with nine factors have the following format:
x² x y² , with different x and y.
These numbers have to be different of 1, due to Zoe's age, hence the smallest number is given as follows:
2² x 3² = 4 x 9 = 36.
Since the difference is of 36 years old, so the ages are as follows:
Zoe: 1 year old. Chloe: 37 years old.Joey: 38 years old.The next time this will happen is in 36 years, hence Joey's age will be of:
36 + 38 = 74 years old.
The sum of the digits will be of:
7 + 4 = 11.
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f(x) = -4x² + 3x − 11
Find f(-4)
Answer:
f(-4) = - 87
Step-by-step explanation:
f(-4) = - 4·(-4)^2 + 3·(-4) - 11
f(-4) = - 4·16 - 12 - 11
f(-4) = - 64 - 12 - 11
f(-4) = - 87
Step-by-step explanation:
1.
[tex]f( - 4) = - 4( - 4) ^{2} + 3( - 4) - 11[/tex]
2.
[tex] f( - 4) = - 4(16) - 12 - 11[/tex]
3.
[tex]f( - 4) = - 64 - 23[/tex]
4.
[tex]f( - 4) = - 87[/tex]