Answer:
100/10
Step-by-step explanation:
david has d books, which is 3 times as many as jeff and i as many as paula. how many books do the three of them have altogether, in terms of d?
David, Jeff, and Paula have (7d)/3 books.
To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:
1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.
Now, to find the total number of books for all three of them, we simply add the number of books each person has:
Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d
To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3
Now, we can simplify the expression:
Total books = (7d) / 3
So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.
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Point s is on line segment rt. given rt = 19 and rs = 6, determine the length st
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
What is the length of a line segment collinear to another line segment?
According to the statement seen in this question, the line segments RT and ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:
RT = RS + ST
ST = RT - RS
ST = 19 - 6
ST = 13
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
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Which expression is the factored form of 2/3x+4
A) 2/3 (x+6)
B) 1/3 (2x+6)
C) 2/3 (x+4)
D) 2/3 (x+12)
Answer:
A
Step-by-step explanation:
2/3x + 4 = 2/3 (x + 4/(2/3)) = 2/3 (x + 6)
Topic: Algebraic equations + factorisation
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Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
plz help will mark as brainliest
Step-by-step explanation:
tae tae tae tae tae tae tae tae
Consider the table below. For what value of a does f(x) = -19?
f(x)
-4 5
-3 -4
-2 -3
-1 2
0 5
1 12
2 -19
3 -58
4 -123
The value of "a" for which f(x)=-19 is a=2.
What is value of a? (f(x)=-19)
Looking at the table, we can see that f(x) changes from positive to negative at x=2. This means that there is a root (a value of x for which f(x)=0) between x=1 and x=2.
To find the exact value of x for which f(x)=-19, we can use interpolation: We can see that f(2) = -19, so a=2 satisfies the equation. We can also use the points (1,12) and (2,-19) to estimate the root using linear interpolation:
The slope of the line connecting these two points is:
(y₂-y₁)/(x₂-x₁ ) = (-19-12)/(2-1) = -31.
The equation of the line passing through these points is: y - 12 = -31(x-1)
Setting y=-19, we get: -19 - 12 = -31(x-1) => x = 1+31/31 = 2
Therefore, we have two solutions: a=2 or x=2.
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incy length
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 days and a standard deviation of 9
days
(a) What is the minimum pregnancy length that can be in the top 12% of pregnancy lengths?
(b) What is the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths?
egnancy len
ution with a
incy length
mean = = 26
(a) The minimum pregnancy length is days
(Round to one decimal place as needed)
(b) The maximum pregnancy length is days.
(Round to one decimal place as needed)
egnancy len
ution with a
ancy length
wer
egnancy len
ution with a
ancy lenath
Enter your answer in each of the answer boxes
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we
DHE
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S:06 PM
Answer:
(a) 259.5 days
(b) 284 days
Step-by-step explanation:
Let X represent the pregnancy length in days.
It is provided that \(X\sim N(270,9^{2})\).
(a)
Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.
Then,
P (X < a) = 0.12
⇒ P (Z < z) = 0.12
The corresponding z-score is, z = -1.17.
*Use a z-table.
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5\)
Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.
(b)
Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.
Then,
P (X > b) = 0.06
⇒ P (X < b) = 0.94
⇒ P (Z < z) = 0.94
The corresponding z-score is, z = 1.56.
*Use a z-table.
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284\)
Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.
5) The figure shown is a scale drawing of a playground in a park. The length is 5 cm and the width is 3 con,
The figure shown is a scale drawing of a play ground in. Park. The length is 5cm and the width is 3cm.
The actual playground has a width of 60 meters. What is the actual length in meters of the playground? Show your
work or explain your answer.
The actual length in meters of the playground is 100 meters.
A scale drawing is a smaller diagram of a larger image. For example, a map of the playground is a scale drawing of the playground.
In order to determine the actual length of the playground, the scale of the drawing has to be determined first.
Scale = actual width / width of the scale
60m / 3cm = 1cm : 20m
Length of the playground = scale x length of the scale drawing
20 x 5 = 100m
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2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65
Answer:
Associative Property
Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers
What’s the error he made and the answer that’s all
Answer:
mica should have added 2 to 3 instead of 1
Step-by-step explanation:
which statement about 12 is not true it is a square number or it is the least common multiple of 3 and 4 or it is a factor of 60 or it is an even composite number
Answer:
it's a square number
Step-by-step explanation:
When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11. What is the probability that the next game Andrew bowls, his score will be between 86 and 106, to the nearest thousandth?
When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11 . Then the probability of his score being between 86 and 115 is 0.2047
Mean = μ = 115
SD = σ = 11
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 86
x2 = 106
So,
Z1 = ( x1- mean)/ SD
= 86- 115 / 11
= -29/11
= -2.6363
Z2 = ( x2-mean)/SD
= 106 -115 /11
= -0.8181
And We have to find area to the left of both points then their difference to find the probability.
So, Area to the left of z1 = 0.00427
Area to the left of z2 = 0.20897
Probability to score between 135 and 167 = z2-z1 = 0.20897-0.004270
= 0.2047
Hence,
The probability of his score being between 86 and 115is 0.2047
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steve is told that the average age of respondents in a survey is 49 years. he is interested in finding out whether most respondents are close to 49 years or not (not necessarily exactly 49-years-old, but close to that age). the measure most appropriate to answer this question is:
Answer:
Step-by-step explanation:
49 years.
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. What was Poch's return on sales ratio for the year? (Assume no other expenses)
a. 10.6%
b. 24.1%
c. 21.9%
d. 13.8%
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. To find Poch's return on sales ratio, we need to divide the cost of goods sold by the net sales and multiply by 100.
The calculation would be:
Return on Sales Ratio = (Cost of Goods Sold / Net Sales) * 100
Plugging in the given values:
Return on Sales Ratio = ($59,823 million / $76,643 million) * 100
Now, let's solve the calculation:
Return on Sales Ratio = (0.7807) * 100
Return on Sales Ratio ≈ 78.07%
Since none of the provided answer options match with the calculated ratio, we cannot determine the exact return on sales ratio.
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Hey guys!
Help me ....
Question is in the attachment....
Don't copy and don't spam
Don't answer if you don't know...
I need to understand it... please explain me
Thank You!
The slope of line r is -1/2
The equation of line q is given as
\(-2x + y =1\)
Make y the subject
\(y =1 + 2x\)
Rewrite the equation, as follows:
\(y =2x + 1\)
The slope of the above equation is:
\(m = 2\)
Line r is perpendicular to line q.
So, the slope (m2) of line r is calculated as:
\(m_2 = -\frac 1m\)
This gives
\(m_2 = -\frac 12\)
Hence, the slope of line r is -1/2
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sarah is trying to decide what combination of cups and plates to buy. her budget is $18. plates cost $6 each and cups cost $3 each. the numbers in the table represent total utility. given her budget, which combination will maximize total utility?
Answer:- Hence, the combination will maximize total utility is \(12.\)
Step-By-Step-Explanation:-
What is cost?
Cost is the amount of money you spent to make the product or service. Price is what you will charge for it.
Here given that,
The cups and plates budget is \($18 (3 plates x $6 each + 6 cups x $3 each)\)
Then the utility for the combination is \(12 (3 plates x 4 utility each + 6 cups x 2 utility each).\)
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What are the leading coefficient and degree of the polynomial?
8x+5x + 7 – 12x4
Answer:
13 and 1
Step-by-step explanation:
the leading coefficient is 5+8=13
and the degree of it is one 13x ⇒ x^1
Yen takes her pomeranian kiwii to the dog park once inside the fence kiwii runs across the filed in 10 seconds his path is shown on the graph belowwhat is the average velocity 4 to 8 seconds
The average velocity from 4 to 8 seconds is given as follows:
v = [position at 8 seconds - position at 4 seconds]/4.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The change in the distance from 4 to 8 seconds is given as follows:
position at 8 seconds - position at 4 seconds
The change in the time from 4 to 8 seconds is given as follows:
8 - 4 = 4 seconds.
Hence the velocity is of:
v = [position at 8 seconds - position at 4 seconds]/4.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the average velocity was presented.
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determine the parametric equation of the plane passing throughD(1,2.3) E(5,2,1) F(1,0,8)
The parametric equation of the plane is -10(x - 1) + 20(y - 2) - 8(z - 3) = 0.
To determine the parametric equation of the plane passing through D(1, 2, 3), E(5, 2, 1), and F(1, 0, 8), you'll need to find the normal vector and a point on the plane.
1. Calculate the directional vectors DE and DF:
DE = E - D = (4, 0, -2)
DF = F - D = (0, -2, 5)
2. Find the normal vector (n) by taking the cross product of DE and DF:
n = DE x DF = (-10, 20, -8)
3. Use the point-normal form of the plane equation:
A(x - x0) + B(y - y0) + C(z - z0) = 0
where (A, B, C) are the components of the normal vector n and (x0, y0, z0) is a point on the plane, like D.
4. Plug in the values:
-10(x - 1) + 20(y - 2) + (-8)(z - 3) = 0
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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ
The measure of length PQ will be 22 units.
What is the mid-point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
The missing image is attached below.
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Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
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Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
prove this theorem
Answer:
The essence of Mathematics lies in its freedom
What is the solution to the equation 9x - 1
= 80.
X = -9
X = 1
x = 81
x=9
Answer:
x = 9
Step-by-step explanation
9x - 1 = 80
add 1 to both sides and you get
9x = 81
divide each side by 9 and you get
x = 9
The solution of equation 9x - 1 = 80 by combining like terms with the use of operations addition, division, etc is x = 9. Hence option 4 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
9x - 1 = 80
Now simplify the expression by combining like terms with the use of operations addition, division, etc.
The expression is,
9x - 1 = 80
Add 1 on both sides,
9x - 1 + 1 = 80 + 1
9x = 81
Divide both sides by 9,
x = 81/9
x = 9
So, x = 9 is the solution of expression.
Thus option 4 is true.
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which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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A complete collection of all elements (scores, people, measurements, and so on) to be studied is called the Group of answer choices sample population parameter grade
The correct option is B. The complete collection of all elements, individuals, measurements, scores, or other entities that are of interest and relevant to a particular study or analysis is called the population.
A collection is a group of items that have been gathered or accumulated together based on a particular theme or purpose. Collections can be made up of physical objects such as books, stamps, coins, or artwork, as well as digital items like photos, music, or videos. Collections can also refer to data structures in computer programming that hold groups of related items.
People often collect items as a hobby or passion, and the act of collecting can bring a sense of fulfillment, enjoyment, and satisfaction. Collections can have both sentimental and monetary value, and they may be displayed in personal or public settings, such as museums or galleries. The process of collecting often involves researching and acquiring new items, as well as organizing and preserving the existing collection.
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Solve each proportion.
7/3=d/21
D=
Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x6,y=1, and the y-axis around the x-axis. Volume = Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x6,y=1, and the y-axis about the line y=−3. Volume =
The volume of the solid obtained by rotating the region in the first quadrant bounded by y = x^6, y = 1, and the y-axis around the x-axis is π/4 cubic units.
To find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x^6, y = 1, and the y-axis around the x-axis, we will use the method of cylindrical shells.
The volume of the solid can be calculated using the formula:
V = ∫[a,b] 2πx * f(x) dx,
where a and b are the limits of integration and f(x) represents the function that defines the region.
In this case, the limits of integration are from x = 0 to x = 1 (where y = 1 intersects with y = x^6).
V = ∫[0,1] 2πx * (x^6) dx
= 2π * ∫[0,1] x^7 dx
= 2π * [(x^8)/8] evaluated from 0 to 1
= 2π * [(1^8)/8 - (0^8)/8]
= 2π * (1/8)
= π/4.
Therefore, the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x^6, y = 1, and the y-axis around the x-axis is π/4 cubic units.
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A patient asks about the purpose of withholding food and fluid before surgery. Which response by the nurse is appropriate?
a)It decreases urine output so that a catheter would not be needed.
b)It prevents overhydration and hypertension.
c)It decreases the risk of elevated blood sugars and slow wound healing.
d)It prevents aspiration and respiratory complications.
Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.
The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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Randomly select a painted rock from a bag containing 4 purple rocks, 3 green rocks, 3 orange rocks, and 2 blue rocks.
Answer:
i got a orange
Step-by-step explanation:
the sum of the height and radius of a right circular cylinder is 9 cm. If the surface area of the cylinder is 54 cm squared. Then find the height of the cylinder.
The height of the cylinder whose area is given would be =7.6cm.
How to calculate the height of a cylinder?To calculate the height of a cylinder, the formula for the area of cylinder should be used and it is given below as follows;
Surface area of cylinder = 2πr²+2πhr
This can also be written as = 2πr(h+r)
surface area = 54cm²
h+r = 9cm
r = ?
54 = 2×2.14×r(9)
54 = 38.52r
r = 54/38.52
r = 1.4
h = 9-1.4 = 7.6cm
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