Answer:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x[/tex]
[tex](x_1,x_2) = (x,x+1)[/tex]
Required
Show that the y values increases by 4 for [tex]x_2 - x_1 = 1[/tex]
We have:
[tex]y = 4x[/tex]
For [tex]x_1 = x[/tex]
[tex]y_1 = 4x_1[/tex]
Substitute [tex]x_1 = x[/tex]
[tex]y_1 = 4x[/tex]
For [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4x_2[/tex]
Substitute [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4(x+1)[/tex]
[tex]y_2 = 4x+4[/tex]
So, we have:
[tex]y_2 = 4x+4[/tex]
[tex]y_1 = 4x[/tex]
Subtract [tex]y_1[/tex] from [tex]y_2[/tex]
[tex]y_2 - y_1 = 4x + 4 - 4x[/tex]
Collect like terms
[tex]y_2 - y_1 = 4x - 4x+ 4[/tex]
[tex]y_2 - y_1 = 4[/tex]
Hence:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
i.e. an increment of 4
What is the measure of angle IXA?
Answer:
is it 120
Step-by-step explanation:
it is 120 I can't really explain how I got it though
The relationship between the distance biked and time for Jeremy can be represented by the equation y = 12x, where he biked y miles in x hours. Below is a table that represents the number of hours and miles Kevin rides.
Time in hours (X) Distance in miles (y)
1.5 8.25
2 22
3.5 19.25
4 33
A third biker, Lauren rides twice as fast as Kevin. Use Y to represent the number of miles Lauren travels in x hours. Assume all bikes ride at a constant rate.
Which Statement accurately compares the biking speed of Lauren to Kevin and Jeremy?
a) The biking speed of Lauren is greater than the biking speeds of both Kevin and Jeremy.
b) The biking speed of Lauren is less than the biking speeds of both Kevin and Jeremy.
c) The biking speed of Lauren is greater than the biking speed of Kevin and less than the biking speed of Jeremy.
d) The biking speed of Lauren is less than the biking speed of Kevin and greater than the biking speed of Jeremy.
Answer:I put c I have the same question I'm doing a test
Step-by-step explanation:
Answer:
answer=c
Step-by-step explanation:
is the right answer
What is coordinates of point C?
Answer:
(3,6)
Step-by-step explanation:
Using the midpoint segment formula
M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]
Given (-2 -6) and (4,6) divided in the ratio 1:5
X = 1(-2) + 5(4)/1+5
X = -2+20/6
X = 18/6
X = 3
Similarly
Y = 1(-6)+ 5(6)/1+5
Y = -6+30/6
Y = 24/6
Y = 4
Hence the required coordinate of C is (3,6)
Write the simplest form of this ratio and its method.
2/3 : 3/2 : 5/8
Answer:
16 : 36 : 15
Step-by-step explanation:
2/3 : 3/2 : 5/8
multiply each term by the lowest common denominator: 24
16 : 36 : 15
Three postal workers can sort a stack of mail 10 minutes , 35 minutes, and 70 minutes respectively. find how long it takes them to sort the mail if all three work together
9514 1404 393
Answer:
7 minutes
Step-by-step explanation:
The total of stacks per minute is ...
1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute
The rate in minutes per stack is the reciprocal of this.
Working together, the workers can sort a stack of mail in 7 minutes.
I'm lost can someone help me please?
Answer:
x=13
y=32
Step-by-step explanation:
x+y=45
x+19=y
45-y+19=y
2y=64
y=32
x=13
Answer: The other number is 19 more than that number represented by x + 19
Equation: x + (x + 19) = 45
The numbers are 13 and 32
Step-by-step explanation:
So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19
Equation: x + (x + 19) = 45
2x + 19 = 45
2x = 26
x = 13
Plug x back into the equation to find the second number (x + 19)
x + 19
13 + 19 = 32
3. What is the missing term in the sequence 10, 12, 16, 24,
, 72?
A. 32
B. 40
C. 48
D. 64
4. What rule is being used in this sequence 25, 28, 26, 29, 27?
A. Add 3.
B. Add 3, subtract 2...
C. Subtract 3, add 2...
D. Multiply by 3, subtract 2...
5. What is the value of kin 6k - 19 = 23?
A. 14
B. 11
C. 7
D. 5
Answer pls. ASAP Need it now
Answer:
3. B
4. B
5. C
Step-by-step explanation:
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
3 7 8 9 10 10 10 9 9 9 9 8 5
6 7 7 9 8 10 9 8 7 6 8 7 9
5 3 9 10 10 9 9 8 9 8 6 10 8
4 7 3 10 8 9 8 10 10 8 8
Develop a 95% confidence interval estimate of the population mean rating for Miami (to 2 decimals).
Answer:
The 95% confidence interval estimate of the population mean is (7.38, 8.46).
Step-by-step explanation:
Before building the confidence interval, we need to find the mean and standard deviation of the sample.
In this sample, there are 50 values.
Mean of the sample:
Sum of all values divided by the number of values.
With the help of a calculator, the mean is of 7.92.
Standard deviation:
Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.
With the help of a calculator, the standard deviation is of 1.8958.
Confidence interval:
We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{1.8958}{\sqrt{50}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.92 - 0.54 = 7.38
The upper end of the interval is the sample mean added to M. So it is 7.92 + 0.54 = 8.46
The 95% confidence interval estimate of the population mean is (7.38, 8.46).
This is dum y do we need math like wth
Step-by-step explanation:
To get through school nd have something to do w your life!
Which speed is the fastest?
A 18 feet in 20 minutes
B 90 feet in 2.5 hours
C 20 yards in 1.5 hours
D 3 and 2/3 yards in 15 minutes
If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 2 tails?
Answer:
0.109
Step-by-step explanation:
Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:
8! / (6! x 2!) - 28
So, the probability is:
28 / 2^8 or 28/256
As a decimal, this is: 0.109375
And rounded to the nearest thousandth it's 0.109
Help!!!!! find the value of x.
Answer:
x = 48
Step-by-step explanation:
The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:
x - 12 + 3x = 180
4x - 12 = 180
4x = 192
x = 48
Answer:
[tex]x=42[/tex] ✔︎
Step-by-step explanation:
∠1 + ∠2=1803x+x-12=1804x-12=1804x=180-124x=168x=42°∠1= 3x=3×42=126°
∠2=x-12=42-12= 30°
------------------------------
hope it helps...
have a great day!!
Factor 5x+35 . If the expression cannot be factored, write cannot be factored.
Answer:
5 ( x + 7 )
Step-by-step explanation:
= 5x + 35
= 5 ( x + 7 )
Therefore, after factorizing you will get 5 ( x + 7 )
Answer:
hey , it can be factored:
this is the factored expression:
5(x+7)
(ii)
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Solve 11-Jx+4 = 0 for real
Question for 1 B)
Answer:
x = 117
Step-by-step explanation:
Given
11 - [tex]\sqrt{x+4}[/tex] = 0 ( subtract 11 from both sides )
- [tex]\sqrt{x+4}[/tex] = - 11 ( square both sides )
(- [tex]\sqrt{x+4}[/tex] )² = (- 11)²
x + 4 = 121 ( subtract 4 from both sides )
x = 117
Find the area of this circle. Use
3.14 for it.
96 mm
Answer:
28938.24
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
= 3.14 x [tex]96^{2}[/tex]
= 28938.24
Please mark brainliest:)
i need help 3x²+7x+3=0
Answer:
60
Step-by-step explanation:
3x=3 multiplied by 2 which is 3x3=9
so, 9+(7x= 7x7=49) 49+3=61 rounded to 60
Two sides of a parallelogram are 9.5 feet and 4.9 feet. The measure of the angle between these sides is 96°. Find the area of the parallelogram to the nearest 10th of a square foot
Answer:
The area of the parallelogram is of 46.3 square feet.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram, given two sides a and b and the angle C between them, is given by:
[tex]A = ab\sin{C}[/tex]
In this question:
[tex]a = 9.5, b = 4.9, C = 96º[/tex]
Sides in feet, so area in square feet.
Area
[tex]A = ab\sin{C} = 9.5*4.9\sin{96º} = 46.3[/tex]
The area of the parallelogram is of 46.3 square feet.
HELP ME PLlZZZZ
Find point Z that partitions the directed line segment XY in the ratio of 3:2 where X(-4, -2) and Y(6, 3).
Answer:
(2 , 1)
Step-by-step explanation:
point Z (x, y)
x = 3/5 × (6+4) + (-4)
= 3/5×10 -4
= 6-4
= 2
y = 3/5 ×(3+2) + (-2)
= 3/5 ×5 -2
= 3-2
= 1
so, point Z => (2 , 1)
What is the rule of 72?
Answer:
Brainiest please
Step-by-step explanation:
In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.
Describe the solution in words to the inequality 4
Answer:
Full problem or picture?
WILL
GIVE
BRAINLIST
.
..
.
..
The correct answer is Option (4).
What is the area of the real object that the scale drawing models?
Scale factor 1.3
Area 20 square Scale drawing Object
A. 60 square cm
B. 20 square cm
C. 120 square cm
D.180 square cm
Answer:
c: 120
Step-by-step explanation:
Enter the value of p so that the expression (7 + 4n)3 is equivalent to 3 (4n + p).
I NEED HELPPP
Answer:
7
Step-by-step explanation:
Makes both expressions exactly identical and equivalent in value.
find the measure of each angle indicated
a. 33
b. 36
c. 31
d. 136
Answer:
31
Step-by-step explanation:
Let the missing angle be x.
Sum of angles in a triangle is supplementary,
x + 20 + 129 = 180
x + 149 = 180
x = 180 - 149
x = 31
Answer:
31
Step-by-step explanation:
A triangle is 180 degrees.
129 + 20 = 149
180 - 49 = 33
please help!!! Thanksss
Answer:
The image's not clear!
Step-by-step explanation:
Answer:
The answer is 30 (C)
Grace is planning to install grass in the yard shown above. She will not be putting the grass in the two circular flower beds or the rectangular pool.
For this part of the question find the area of the 2 circular flower beds, use 3.14 for pi and round your answer to 2 decimal places.
Answer:
5.39
Step-by-step explanation3.14
Translating between Tables,
Graphs, and Equations
Make a table of value and graph the equation
Y=3x-5
Answer:
Table of values
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 3x - 5[/tex]
Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When [tex]x = 0[/tex]
[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]
When [tex]x = 1[/tex]
[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]
When [tex]x = 2[/tex]
[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]
When [tex]x = 3[/tex]
[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]
When [tex]x = 4[/tex]
[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]
When [tex]x = 5[/tex]
[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]
So, we have:
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
Solving (b): The graph
See attachment
answer plz faaast any one know the answer
Step-by-step explanation:
[tex] \binom{ \lim}{x→0} ( \frac{1}{x} - \frac{1}{ \ \: sinx} ) = \binom{ \lim}{x→0}( \frac{ \ sinx - x }{x \ sinx } ) = \binom{ \lim}{x→0}( \frac{ \ cosx - 1 }{x \ cosx + \ sinx } ) = \frac{0}{0} = 0[/tex]
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
Finished goods inventory is $197,000. If overhead applied to these goods is $72,000, and the overhead rate is 150% of direct labor, how much direct materials cost was incurred in producing the inventory
Answer:
77,000
Step-by-step explanation:
If 72,000 is 150% of direct labor, then direct labor is 48,000 (72000/1.5)
direct labor 48000
overhead. 72000
total. 120,000
total costs: 197,000
less total above: 120,000
=material costs. 77,000