Answers
Related Questions
Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52
Answers
Answer:
Step-by-step explanation:
Given
RS=9y+2, ST=2y+6, and RT= 52
The addition postulate is true for the number line.
RS+ST = RT
Substitute
9y+2+(2y+6) = 52
9y+2y+8 = 52
11y = 52-8
11y = 44
y = 44/11
y = 4
Find RS
RS = 9y+2
RS = 9(4)+2
RS = 36+2
RS = 38
Find ST:
ST = 2y+6
ST = 2(4)+6
ST = 8+6
ST = 14
Hence y = 4, RS = 38 and ST = 14
convert 2 3/7 to an improper fraction
Answers
Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...
Step-by-step explanation:
Consider the following.
P = −0.1s3 + 6s2 + 400.
Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.
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Answer:
A) s = $40 (in thousands of dollars)
B) point of diminishing returns is at;
(20, 2000) in thousands of dollars
Step-by-step explanation:
We are given the profit function as;
P = −0.1s³ + 6s² + 400
A) To maximize the profit, we need to find the first derivative and equate it to zero.
Thus;
dP/ds = -0.3s² + 12s
At dP/ds = 0, we have;
-0.3s² + 12s = 0
0.3s² = 12s
0.3s = 12
s = 12/0.3
s = $40 (in thousands of dollars)
B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.
Thus;
d²P/ds² = -0.6s + 12
At d²P/ds² = 0, we have;
-0.6s + 12 = 0
0.6s = 12
s = 12/0.6
s = 20
At s = 20,
P = −0.1(20)³ + 6(20)² + 400
P = -800 + 2400 + 400
P = 2000
Thus; point of diminishing returns is at;
(20, 2000) in thousands of dollars
Write a quadratic equation with the following transformations.
1. Reflected over the x-axis
2. Moved down 6
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PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE i'll give you brainliest
When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?
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1.333...percent
Hope it helps
Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.
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Answer:
42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
$10 * 3 canoes = $30
$4 * 3 hours = $12
30 + 12 = $42
Is 1.994 greater or lesser than 1.493
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Answer:
greater than
Step-by-step explanation:
1.994 is closer to 2 than 1.493 so it is greater!
The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates
point S.
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Answer:
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Step-by-step explanation:
Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:
[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)
Now clear S in the previous expression:
[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)
Then, the coordinates of point S are:
[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]
[tex]S(x,y) = (8, -18)[/tex]
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?
Answers
Answer:
[tex]Average = 10[/tex]
Step-by-step explanation:
Given
[tex]First\ Three = 14[/tex] --- Average
[tex]Next\ Seven= 4[/tex] --- Average
Required
Determine the overall average
Represent the sum of the first three with x.
So:
[tex]\frac{x}{3} = 14[/tex]
Solve for x
[tex]x = 14 * 3[/tex]
[tex]x = 42[/tex]
Represent the sum of the next seven with y.
So:
[tex]\frac{y}{7} = 4[/tex]
Solve for y
[tex]y = 4 * 7[/tex]
[tex]y = 28[/tex]
The overall average is calculated as thus:
[tex]Average = \frac{x + y}{7}[/tex]
[tex]Average = \frac{42 + 28}{7}[/tex]
[tex]Average = \frac{70}{7}[/tex]
[tex]Average = 10[/tex]
Select all the possible (x,y) coordinates for the following linear equation y=3x+2
Answers
Answer:
x = 2/3
Step-by-step explanation:
To find x-intercept/zero, subtract y = 0
0 = 3x + 2
Move variable to the left-hand side and change its sign
-3 = 2
Divide both ides of the equation by - 3
x = - 2/3
Solution
x = - 2/3
Alternate form
x = - 0.6
Which equation represents the situation below?
John owed the bank 7 dollars, but he made 12 dollars.
Answers
Answer:
12-7=5
Step-by-step explanation: if you u need a equation for how much he has there u go
What volume,in cubic inches,is equivalent to 15 cubic feet?
Answers
Answer: 1 feet = 12 inches
1 cubic feet = 12^3 = 1728 cubic inches
15 cubic feet = (15)(1728) = 25,920 cubic inches
An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.53 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places.
Answers
Answer:
The 90% confidence interval is [tex] 2.47<\mu < 2.59 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 6
The sample mean is [tex]\= x = 2.53 \ mm[/tex]
The standard deviation is [tex]\sigma = 0.090\ mm[/tex]
Given that the confidence level is 90% then the level of significance is
[tex]\alpha = (100 - 90)\%[/tex]
=> [tex]\alpha = 0.10 [/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E =1.645 * \frac{0.090 }{\sqrt{6} }[/tex]
=> [tex]E = 0.060 [/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.53 -0.060 <\mu < 2.53 + 0.060[/tex]
=> [tex] 2.47<\mu < 2.59 [/tex]
Lauren is running for president of the student government at UTD. The proportion of voters who favor Lauren is 0.8. A simple random sample of 100 voters is taken. What are the expected value, standard deviation, and shape of the sampling distribution of proportion (, respectively?
Answers
Answer:
[tex]\mu_{x} = 0.8[/tex]
[tex]\sigma = 0.095 [/tex]
The shape of this sampling distribution is approximately normal
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.8[/tex]
The sample size is n = 100
Generally the expected value of this sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.8[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p(1- p )}{n } } [/tex]
=> [tex]\sigma = \sqrt{ \frac{0.8 (1- 0.8 )}{100 } } [/tex]
=> [tex]\sigma = 0.095 [/tex]
Generally given that the sample is large (i.e n > 30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal
Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?
Answers
Option A is correct, when putting 11 or -3 in for x the equation both result in 13, making it true.
PLEASE HELP!!! 30 POINTS
Solve the inequality for x. Show each step of the solution.
12 + 7 > 9(2 − 3)− 8
Answers
Answer:
True
12+7>9(2-3)-8
19> (-9)-8
19>-17
Step-by-step explanation:
Answer:
12+7=19 and 9(2-3)-8=-17
Step-by-step explanation:
Kane is training for a marathon. He starts by running 3 miles during every training session.
Each week plans to increase the distance of his run by mile.
1/4
Let w be the number of weeks. Write an expression to show the distance Kane
runs in a training session after w weeks.
Answers
Answer:
1/4w + 3 the answer has to be 20 characters long so ignore this
Answer:
Step-by-step explanation:
Given
Required
Determine the distance for w weeks
This will be calculated using the following Arithmetic progression formula
Where
Substitute these values
Open Bracket
Collect Like Terms
Take LCM
the scale on the map is 5cm : 1 km.
Answers
Answer:
lol do you need help with anything
Step-by-step explanation:
jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age
Answers
Answer:
you could do 27+x=30
Step-by-step explanation:
Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Answers
Answer:
0.8152 ≤ p ≤ 0.8608
579
Step-by-step explanation:
Given the following :
Samples size n = 1000
Deaths within 10 years, p = 838
α = 95%
Construction a two way confidence interval:
p ± Zα/2 * √p(1-p) / n
point estimate p = 838/n = 838/1000 = 0.838
Z0.05/2 = Z0.025 = 1.96
0.838 - 1.96√0.838(1-0.838) / 1000
0.838 - 1.96*0.0116514 = 0.8152
0.838 + 1.96√0.838(1-0.838) / 1000
0.838 + 1.96*0.0116514 = 0.8608
0.8152 ≤ p ≤ 0.8608
b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Error (E) = 0.03
To find the samome size, use the relation:
n = (Zα/2 / E)² * p(1-p)
n = (1.96/0.03)² * 0.838(1-0.838)
n = (1.96/0.03)² * 0.838 * 0.162
n = 4268.4444 * 0.838 * 0.162
n = 579.46
n = 579
The y-coordinate of the vertex of the parabolic graph of
f(x) = ax2 + bx + c
is
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hello,
y-coordinate is found by computing f(0)=c
so this is the point (0,c)
the vertex is found for x = -b/(2a)
[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]
So this is the point ( -2(2a), -(b^2-4ac)/(4a) )
thanks
The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]
Given that,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
We have to determine,
The y-coordinate of the vertex of the parabolic graph?
According to the equation,
The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.
On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.
Therefore,
The vertex of the parabola of the given quadratic equation,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
The co-ordinate is founded when x = 0,
[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]
Then, The vertex is found at point (0, c) at x = -b\2a,
[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]
Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/1254213
Solve each equation.
Show all steps
4) -8(-6-5k)=-232
Answers
the answer is k=4.6. hope this helps
each friend received 5/4 of a pound of berries, how many friends are sharing berries?
Answers
Answer:
2
Step-by-step explanation:
If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest
Answers
Complete Question
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest
Answer:
0.354
Step-by-step explanation:
We solve for z score in this question.
The formula is given as:
z = (x-μ)/σ, where
x is the raw score = $28
μ is the population mean = $25
σ is the population standard deviation = $8
z= 28 - 25/8
z = 0.375
P-value from Z-Table:
P(x<28) = 0.64617
P(x>28) = 1 - P(x<28)
= 1 - 0.64617
= 0.35383
Approximately to 3 decimal places = 0.354
The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.
marcos is making three tile pictures.
Answers
Answer: 360
Step-by-step explanation:
310 + 50 = 360
Answer:
1710
Step-by-step explanation:
310 x 3 = 930
260 x 3 = 780
930 + 780 = 1710
The table shows the height of water in a pool as it is being filled.
A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled..
Answers
Answer:
16
Step-by-step explanation:
if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest
Answers
Answer:
∠6 = 130°Step-by-step explanation:
the answer is 130.. because its a corresponding angles
that means corresponding angles are equal
∠2 = ∠6 = 130°25x 10 ^ 6 in standard form
Answers
25x10⁶ = 2.5x10⁷=25000000
#Learn more
-34/51 in standard form
brainly.in/question/12244412
What is the lenght of the hypothesis in the triangle?
Answers
Answer:
ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13
Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?
A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell
Answers
Answer:
B. Plant cell
Step-by-step explanation:
Prokaryotic cells do not contain an enclosed nucleus or chloroplast
Red blood cells do not contain chloroplast
Animal cells do not contain chloroplast