The segment lengths in this triangle are given as follows:
UV = 50 inches.RS = 124 inches.What is the midsegment theorem?The midsegment of a triangle states that the segment connecting the midpoints of two sides of a triangle is parallel to and half the length of the third side.
Segment UV connects the midpoints of SR and ST, hence it's length is given as folows:
UV = 0.5 x RT
UV = 0.5 x 100
UV = 50 inches.
Side RS is parallel to the midsegment VW, which as length of 62 inches, hence it's length is given as follows:
RS = 2VW
RS = 2 x 62
RS = 124 inches.
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Maggie is making bags of trail mix for hiking club. She will use 20 ounces of walnuts, 11. 2 ounces of almonds, and 24. 3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
2.22
Step-by-step explanation:
Kate is painting a ceramic paperweight shaped like a rectangular prism, as shown here. She wants to find the surface area of the paperweight so she can determine how much paint she needs.
The area of one of the bases is .
The area of each lateral rectangular face is .
The surface area of the paperweight is .
Answer:
area of one of the basses is 1.44 square feet
area of each lateral rectangular face is 0.96 square feet
SURFACE AREA OF THE PAPERWEIGHT IS 6.72 square feet.
Step-by-step explanation:
Answer:
The other person is 100% right! Give them brainliest :)
Step-by-step explanation:
6. Solve for x.
Х
6
15
Please help
solution
in a right angle triangle all angles are = 90
but since they did not give us any angle, we should know that the two angle that will make up 90 will be 45
so it will be = tan 45 = a
15
15tan45 = a
a = 15
so now x^2 = 15^2 + 6^2
x^2 = 225 + 36
x^2 = 261
x = 16.2
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
The interval of systolic blood pressure will be between 155 to 95
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
From the question, we are told that
Mean x=125
Standard deviation = 10
The Percentage for men =99.75%
Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 10
Mean x= 125
Generally, the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = Mean ± (3x \(\sigma\))
G= 125 ± (3 x 10)
G= 125 ± (30)
G = 155 and 95
Hence the interval of systolic blood pressure will be between 155 to 95
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Answer:
Step-by-step explanation:
A project has the following cost, benefit data, and life probability distribution. Compute the conventional \( \mathrm{B} / \mathrm{C} \) ratio using the expected EUAC. (10 Points)
The conventional B/C ratio using the expected EUAC (Equivalent Uniform Annual Cost) can be computed as 1 / EUAC
To calculate the conventional B/C ratio using the expected EUAC, we need to determine the present value of costs and benefits over the project's life and then compare them.
Cost Data:
Year 1: $10,000
Year 2: $8,000
Year 3: $6,000
Benefit Data:
Year 1: $15,000
Year 2: $12,000
Year 3: $9,000
Life Probability Distribution:
Year 1: 0.2
Year 2: 0.5
Year 3: 0.3
To calculate the present value of costs and benefits, we multiply each cash flow by the respective probability and discount it to present value. Assuming a discount rate of r%, the present value (PV) can be calculated using the formula:
PV = Cash Flow / (1 + r)^n
where n is the year of the cash flow.
Calculating the present value of costs:
PV(Costs) = ($10,000 / (1 + r)^1) + ($8,000 / (1 + r)^2) + ($6,000 / (1 + r)^3)
Calculating the present value of benefits:
PV(Benefits) = ($15,000 / (1 + r)^1) + ($12,000 / (1 + r)^2) + ($9,000 / (1 + r)^3)
The expected EUAC can be calculated as the sum of PV(Costs) divided by the sum of PV(Benefits), considering the probabilities:
EUAC = (PV(Costs) * 0.2 + PV(Costs) * 0.5 + PV(Costs) * 0.3) / (PV(Benefits) * 0.2 + PV(Benefits) * 0.5 + PV(Benefits) * 0.3)
Finally, the conventional B/C ratio is obtained by taking the inverse of the EUAC:
B/C ratio = 1 / EUAC
The conventional B/C ratio using the expected EUAC for the given cost, benefit data, and life probability distribution can be computed using the provided calculations. This ratio allows for a comparison between the present value of costs and benefits over the project's life, considering the probability distribution.
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find the value of x and y
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
Step-by-step explanation:
A basketball team scored 105 points during one game. There were as many two-point baskets as free throws (1 point each), and the number of three-point baskets was five less than the number of free throws. Find the number of three-point baskets.
The number of three-point baskets from the substitution method is 15.
According to the statement
we have given that the total score of basket ball is 105 points and there were as many two-point baskets as free throws (1 point each), and the number of three-point baskets was five less than the number of free throws.
And we have to find the number of three-point baskets.
So, For this purpose, we know that the
Final Score S = 105
Two point baskets T = Free throws F -(1)
Three point baskets H = F - 5 -(2)
Now, we know that the
The final score is equal to 3 times the number of three point baskets plus 2 times the number of two point baskets plus 1 times the number of free throws
So,
S = (3*H) + (2*T) + (1*F)
Here we can use substitution method,
Now we can substitute
105 = 3H + 2T + 1F
105 = 3H + 2F + 1F {substitute from equation (1)}
105 = 3(F-5} + 2F + 1F {substitute from equation (2)}
105 = 3F -15 + 2F + 1F
105 = 6F - 15
120 = 6F
F =20
Now that we get the value of F, now we can substitute into Eqn 2 to find H
H = F -5
H = 20 - 5
H = 15
So, The number of three-point baskets from the substitution method is 15.
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Answer: The number of three-point baskets from the substitution method is 15!
Find the slope of the line.
Please help!
Answer: The slope is undefined.
Step-by-step explanation:
The slope of a line is (y2-y1)/(x2-x1) given two points (x1,y1) and (x2,y2).
We can plug in the coordinates given.
= (-3-2)/(-1-(-1))
= -5/0
That value is undefined beacuse you cannot divide a value by 0.
what is the y-intercept of y=5?
Answer:
The slope is 0, and the y-intercept is (0,5)
Step-by-step explanation:
I've had this question before.
Answer:
Step-by-step explanation:
y= x+ 5
I WILL MARK BRAINLIST
Which expressions are equivalent to 5x-15? Select three options.
O 5(x+15)
O 5(x-3)
O 4x+3y-15-3y+X
O -7y-6x-8y + x
O -20-3x+5+8x
solve the equation
n+500=2000
Answer:
n = 1500
Step-by-step explanation:
n + 500 = 2000
subtract 500 from both sides
n + 500 = 2000
-500 -500
n = 1500
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
geometry?????? help please
Answer:
74 degrees
Step-by-step explanation:
180-59-47=74
Write an equation in slope-intercept form for
the line perpendicular to y = -6x + 6 that
passes through the point (8,6).
Evaluate the expression 10^2+(3+5)^2 - 5=
Answer:
159
Step-by-step explanation:
10^2+(3+5)^2-5
-> 100 + (3+5)^2 -5
-> 100 + 8^2 - 5
-> 100 + 64 - 5
-> 159
Answer:
159
Step-by-step explanation:
\(10^{2} + (3+5)^{2} -5\\100 + (3+5)^{2} - 5\\100 + 64 - 5=\\159\)
10 to the second power is 100 (10x10)
3 plus 5 is 8
8 to the second power is 64 (8x8)
then just slove.
-22+(24+28)=(-22+24)+28 communitive or associative pls help!
Answer:
Associative Property
Step-by-step explanation:
the way in which factors are grouped in a multiplication problem does not change the product
Example:
-6+(x+5)=(6+x)+5
hope this helps :)
An arithmetic sequence has common difference d. the series sums s2, s5 and s7 themselves form an arithmetic sequence. find, in terms of d, the common difference for this sequence.
To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.
The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.
Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.
Using the arithmetic sequence formula for the sum of terms, we have:
s2 = (2/2) * (2a + (2-1)d) = 2a + d
s5 = (5/2) * (2a + (5-1)d) = 5a + 6d
s7 = (7/2) * (2a + (7-1)d) = 7a + 12d
Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:
s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d
s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d
Now, equating the differences, we have:
3a + 5d = 2a + 6d
Simplifying the equation, we find:
a = d
Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.
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now, suppose the data represents a population and you are performing hypothesis tests. (1) indicate and show on the graphs whether you would accept or reject the h0 for each of the three alpha values (.10, .05, .01) if x-bar
When performing hypothesis tests on a population, you need to consider the significance level (alpha) and compare it to the p-value. The significance levels you've mentioned are 0.10, 0.05, and 0.01.
The null hypothesis (H 0) states that there is no significant difference between the sample mean (x-bar) and the population mean.
To determine whether to accept or reject H 0, follow these steps:
1. Calculate the test statistic (e.g., t or z) using the sample data.
2. Determine the p-value associated with the test statistic.
3. Compare the p-value to each of the given alpha levels (0.10, 0.05, 0.01).
Now, for each of the three alpha values, you can decide to accept or reject H 0 as follows:
- If the p-value is less than or equal to the alpha value, you reject H0. This means there is sufficient evidence to suggest a significant difference between the sample mean and the population mean.
- If the p-value is greater than the alpha value, you fail to reject H 0. This means there is not enough evidence to support a significant difference between the sample mean and the population mean.
On the graphs, you can indicate the critical regions (rejection zones) for each alpha value. These regions represent the extreme values where H 0 would be rejected. The critical regions depend on the type of hypothesis test (one-tailed or two-tailed) and the distribution of the test statistic.
For each alpha value, if the test statistic falls within the critical region(s), you would reject H 0; otherwise, you would fail to reject H 0. Remember to maintain a professional, concise, and friendly approach when explaining your conclusions.
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The drug warfarin, an anticoagulant, is metabolized by the body and leaves at a rate proportional to amount still in the body. Use this fact in both parts (a) and (b) below.
(a) If a patient, who has no Warfarin in his system, is given a pill containing 2.5 mg of Warfarin, write a differential equation for the quantity Q(t) (in mg) of warfarin in the body t hours later. Be sure to include an initial condition.
(b) A second patient, who has no Warfarin in her system, is given Warfarin intravenously at a rate of 0.5 mg/hour. Write a differential equation for the quantity Q(t) (in mg) of warfarin in the body of this patient t hours later. Be sure to include an initial condition.
*This is the problem, there is no more information provided.
These are my answers, just want to make sure they are right:
(a) Q' = -2.5Q Q(0) = 0
(b) Q' = 0.5Q - 2.5Q Q(0) = 0
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
a) The differential equation expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is suffering from Warfarin is given a pill containing 2.5 mg of Warfarin then,
dQ/dt = -kQ
here Q(0) = 2.5
b) The differential equation the expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin is given a pill containing 0.5 mg/hr then,
dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:
Q' = 0.5 - kQ, where Q(0) = 0
Where k is the proportionality constant for the rate of elimination.
Explanation
(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:
Q'(t) = -kQ(t)
Given that the initial condition is a 2.5 mg pill, the initial condition should be:
Q(0) = 2.5
So the differential equation for part (a) is:
Q'(t) = -kQ(t), Q(0) = 2.5
(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:
Q'(t) = 0.5 - kQ(t)
The initial condition is still that the patient has no warfarin in her system:
Q(0) = 0
So the differential equation for part (b) is:
Q'(t) = 0.5 - kQ(t), Q(0) = 0
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A. hellen raised 12$ for the food bank last year and she raised 6 times as much money this year how much money did she raise this year
B. sandra raised $15 for the pta and nita raised $45 How many times as much money did nita raise as compared to sandra ?
c. Luis raised $45 for the animal shelter which was 3 times as much money as. anthony raised . how much money did anthony raise
Answer:
A. 72
B. 3
C. 135
Step-by-step explanation:
A. 12 x 6 = 72
B. 15 x 3 = 45 so Nina raise 3x more money than Sandra
C. 45 x 3 = 135
through:(2, −4) and (−2, 4) in standard form
The equation of the line in standard form is y = -2x + 12
What is standard equation?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve slope systems involving two linear equations, this form is also quite helpful.The slope of the line passing through (2, −4) and (−2, 4) is
m = (y₂ - y₁)/ (x₂ - x₁)
= (4 - (-4)) / (-2 - 2)
= 8 / -4
= -2
Let the equation of the line in slope-intercept form be y = mx+c
y = -2x + c
The point (2,4) will satisfy the equation .
So, 4 = -2(4) + c
4 = -8 + c
c = 12
The equation of the line in slope-intercept form is y = -2x + 12
Hence, the equation of the line in standard form is y = -2x + 12.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Essentially, when it's asking "find the maximum height and the time it occurs at," it wants you to use the vertex formula. This is a formula that gives you the x-coordinate of the vertex, or the maximum or minimum height of a parabola.
x-coord of vertex = \(\frac{-b}{2a}\)
A quadratic equation is structured with 3 parts
for this one, a = -16, b = 104, c = 5
finding the x-coord just plug those into the formula
\(-\frac{104}{2(-16)}\)
simplify to
- 104/ - 36
negative cancels
104/32
at time = 13/4, there is a relative maximum.
to find its height, just plug that value into your calculator using the original equation
plugging in t = 13/4 yields a value of 174
Coords of rel. max. (13/4 , 174)
the speed of the boat in still water was 10 miles per hour. the boat could could go 78 miles down the lazy river in the same time it took to go 42 miles up the lazy river. how fast did the current flow in the lazy river?
The speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.
.Let "t" be the time taken to travel 78 miles downstream and "t" be the time taken to travel 42 miles upstream.
The distance traveled downstream is 78 miles, so we can write:78 = (10 + x)t ... equation (1)
The distance traveled upstream is 42 miles, so we can write:42 = (10 - x)t ... equation (2)
Solving equations (1) and (2) for "t", we get:t = 78 / (10 + x) ... equation (3)
t = 42 / (10 - x) ... equation (4)
We can equate the value of "t" from equations (3) and (4) since the time is the same.
We get:78 / (10 + x) = 42 / (10 - x)
Multiplying both sides by (10 + x)(10 - x), we get:78(10 - x) = 42(10 + x)
Simplifying, we get:780 - 78x = 420 + 42x
Adding 78x and subtracting 420 from both sides, we get:120x = 360x = 3
Therefore, the speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.
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Carmela randomly selected 85 stamps from a stamp collection. Eleven of these were commemorative stamps.
What is the interval estimate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.035 ?
(0.075, 0.145)
(0.285, 0.355)
(0.082, 0.089)
(0.095, 0.165)
Answer:
(0.095, 0.165)
Step-by-step explanation:
Confidence interval :
Phat ± margin of error
Margin of Error = 0.035
Phat = x / n
Phat = 11 / 85 = 0.1294117
Hence,
Phat ± 0.035
Lower boundary = 0.1294117 - 0.035 = 0.0944
Upper boundary = 0.1294117 + 0.035 = 0.1644
(0.0944, 0.1644)
Answer:
The answer is (0.095, 0.165)
Step-by-step explanation:
I just took the test and got it right
ryan buys 61.5 ounces of lemonade for $24.60 find the unit price
Answer:
the unit price on is $2.50
Step-by-step explanation:
61.5÷24.60
Assuming Ryan buys 61.5 ounces of lemonade for $24.60. The unit price is: $0.4.
Unit priceUsing this formula
Unit pice=Cost price/ Ounces of lemonade
Where:
Cost price=$24.60
Ounces of lemonade=6.15 ounces
Let plug in the formula
Unit price=$24.60/6.15
Unit price=$0.4
Therefore the unit price is: $0.4.
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??????????????????????????????????
Answer:
9
Step-by-step explanation:
the equation is divided by 3 which equals to 2x+5 so didvide 27 by 3
What dimensions do you need to find the volume of a cone?
Answer: Review the picture. This is the formula.
Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!
Answer: V = (1/3)πr2h.
Step-by-step explanation:
What is 956.03 as an expanded form as a fraction.
(forgive me if I may mess up, its been a while)
900+50+6+3/100
Can u guys play help me
Answer:
yes I will help you but in what can I help you I need the problem
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.