The value of the relationship between the mixture and the total cubic feet of mix needed is approximately 4.5294.
The calculation for determining the value of the relationship between the mixture and the total cubic feet of mix needed:
Given:
Length of walkway = 11ft
Width of walkway = 7ft
Depth of walkway = 0.5ft
Mixture ratio: 4 parts aggregate to 4.5 parts loose cement
Step 1: Calculate the total cubic feet of mix needed.
Total cubic feet of mix = Length * Width * Depth
Total cubic feet of mix = 11ft * 7ft * 0.5ft
Total cubic feet of mix = 38.5 cubic feet
Step 2: Determine the relationship between the mixture and the total cubic feet of mix needed. To calculate divide to find relationship.
Relationship = Total cubic feet of mix needed / (Aggregate parts + Cement parts)
Relationship = 38.5 cubic feet / (4 parts + 4.5 parts)
Relationship ≈ 38.5 / 8.5
Relationship ≈ 4.5294
Therefore, the value of the relationship between the mixture and the total cubic feet of mix needed is approximately 4.5294.
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A line passes through the points ( 1,2) and (3,5)
y = 1.5x + 0.5 is the equation of the line passing through the coordinate points
The formula for finding the equation of a line in slope-intercept form is expressed as:
y =mx + b
where:
m is the slope
b is the intercept
Determine the slope
slope = 5-2/3-1
slope = 3/2
slope = 1.5
Determine the y-intercept
y = mx + b
5 = 1.5(3) + b
5 = 4.5 + b
b = 0.5
Hence the required equation of the line passing through ( 1,2) and (3,5) is
y = 1.5x + 0.5
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Complete question
What's the equation of a line that passes through (1,2) (3,5)?
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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solve 3x^3 +2x^2 +15 divided by (x+2) show step by step
Answer:
3x^2-4x+8 (R -1)
Step-by-step explanation:
We can use synthetic division:
-2 | 3 2 0 15
____-6 8 -16
3 -4 8 | -1
So basically, you solve x+2=0 (which is x=-2) and then you put it on the left side. Then make a line and put the coefficients of the polynomial you want to divide. Then with the first coefficient it gets dropped. You would then multiply this by -2 (so 3*-2=-6) and then combine it with 2 in the second column (2+-6=-4). Then we do the same thing with the third column (-4*-2=8) and combine (0+8=8). Same with the fourth column (8*-2=-16) but when we combine this time the answer will be our remainder (15+-16=-1).
So how you would read your final answer is 3x^2-4x+8 (R -1) which the numbers you get are the coefficients.
the demand equation for video games is given by x = 960 − 30p where x is the number of video games and p is in dollars. find the value of p that maximizes the total revenue.
Value if p is $16 which maximizes the total revenue.
How to find the value of p that maximizes the total revenue?
We need to first find the total revenue equation and then maximize it. Here are the steps:
Step 1: Write the demand equation.
x = 960 - 30p
Step 2: Write the total revenue equation.
Total Revenue (R) = price (p) × quantity (x)
R = px
Step 3: Substitute the demand equation into the total revenue equation.
R = p(960 - 30p)
Step 4: Simplify the total revenue equation.
R = 960p - 30p²
Step 5: Differentiate the total revenue equation with respect to p.
dR/dp = 960 - 60p
Step 6: Set the derivative equal to zero to find the critical points.
0 = 960 - 60p
Step 7: Solve for p.
60p = 960
p = 960/60
p = 16
So, the value of p that maximizes the total revenue is $16.
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Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is the probability that the first is yellow, the second is orange, and the third is orange
Answer:
1.79% chance or \(\frac{6}{343}\)
Step-by-step explanation:
7+3+4=14
chance of yellow \(\frac{3}{14}\)
chance of orange \(\frac{4}{14}\)
\(\frac{3}{14} * \frac{4}{14} *\frac{4}{14} = \frac{6}{343}\)
PLEASE HELP ASAP LIKE PLEASE
Answer:
40
Step-by-step explanation:
60-20=40
Bern has 60. Delhi has 20. Subtracting those =40
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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Sketch the region enclosed by the curves and find its
area.
y=x,y=3x,y=−x+4
The region enclosed by the curves y = x, y = 3x, and y = -x + 4 needs to be sketched, and its area should be found.
To sketch the region enclosed by the curves, we need to plot the three given curves on a coordinate plane. The first curve is y = x, which represents a straight line passing through the origin (0,0) with a slope of 1. The second curve is y = 3x, which is also a straight line passing through the origin but with a steeper slope of 3. The third curve is y = -x + 4, which represents a line with a y-intercept of 4 and a negative slope of -1. By plotting these three lines on the same coordinate plane, we can see that they intersect at three points: (0,0), (1,3), and (3,1). The region enclosed by these curves is a triangular region with vertices at these three points. To find the area of this triangular region, we can use the formula for the area of a triangle: A = (1/2) * base * height. Let's draw the graph:
|
4 | . (2, 2)
| .
| .
| .
0 |_____________________
0 1 2 3 4 5 6
In this graph, the first equation (y = x) is depicted by a diagonal line passing through the origin (0,0). The second equation (y = 3x) is a steeper line, while the third equation (y = -x + 4) is a downward-sloping line with a y-intercept of 4. In this case, the base of the triangle is the distance between the points (0,0) and (3,1), which is 3 units. The height of the triangle is the distance between the point (1,3) and the line y = -x + 4, which is also 3 units. Substituting these values into the area formula, we get A = (1/2) * 3 * 3 = 4.5 square units.
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Plz help me
Write an equation in standard form Juan can ride his bike at 12 mi/h and walk at 4 mi/h. Write an equation that relates the amount of time he can spend riding or walking combined, to travel 20 miles.
Answer: 12+4+4
Step-by-step explanation:
Because if you add those together you get 20 miles per hour
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
A school had 1200 students last year and only 1080 students this year. What was the percentage decrease?
Answer:
10%
Step-by-step explanation:
You can easily make a number line starting on 120 counting all the way up tp 1200 and skip count on the bottom of the number line and you should end up with 10%
Find area of scalene triangle side having 6cm,5cm and 4cm.
i see you watching to my question plss help me i will give additional points if you answer?plssss
[BRAINLIEST] a. Nick deposits money in a Certificate of Deposit account (CD). The balance (in dollars) in his account t years after making the deposit is given by N(t)=400(1.06)tfor t ≥ 0. Explain, in terms of the structure of the expression for N(t), why Nick's balance can never be $399.
Answer:
(1.06)0 = 1 and positive powers of 1.06 are larger than 1, thus the minimum value N(t) attains, if t≥0, is 400.
From the point of view of the context, a CD account grows in value over time so with a deposit of $400 the value will never drop to $399.
Perform the following calculations to the correct number of significant figures. Write your answers in scientific notation. a.
(150)(0.0815)
9445
= b.
245
(1.51+12)×0.7887
= c. (249.36+41.0)÷63.498=
Our final answer is: 4.5726 x 10^0 (We use scientific notation to write the answer.) Significant figures refer to the accuracy of a measurement. They represent the number of digits in a value that are considered reliable or significant.
The rules for determining significant figures are as follows: All non-zero digits are considered significant.For example, in the number 243.1, there are four significant figures. All zeros between non-zero digits are considered significant.For example, in the number 402, there is only one significant figure.
All zeros to the right of a non-zero digit and to the right of the decimal point are significant.For example, in the number 5.00, there are three significant figures. All zeros to the left of the first non-zero digit are not significant.For example, in the number 0.0058, there are two significant figures.
Now, let's perform the calculations given in the question:(249.36 + 41.0) ÷ 63.498First, we'll add the numbers in the parentheses:249.36 + 41.0 = 290.36.
Now, we'll divide this sum by 63.498:290.36 ÷ 63.498 = 4.5725893 (This value has 8 digits, but we need to round it to the correct number of significant figures.) The given value has five significant figures, so our answer should also have five significant figures.
The digit in the fifth place is 5, which is greater than 5, so we round the digit in the fourth place up. Therefore, our final answer is: 4.5726 x 10^0 (We use scientific notation to write the answer.)
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What is the height of the cylinder? The figure is not drawn to scale.
V = 282.7 in²
18 in
11.3 in
7.2 in
3.6 in
The height of the cylinder is \(3 inch\)
How can the height of the cylinder be found?Based on the attached figure,
Volume of the cylinder = 282.7 square inches
Radius of the cylinder =5 inches.
The height of the cylinder = ?
The volume of the cylinder can be found with the formula as :
\(V=pi r^{2} h\)
\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)
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Can u guys pls help me if u are correct I will give brainliest i swear!
\(5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84\)
Answer:
i believe the area is 92
Step-by-step explanation:
What is the distance between E and F
9 units
12. 7 unit
4. 2 units
15. 2 units
The distance between E and F is approximately 9.85 units. The answer is not given in the options.
To calculate the distance between two points E and F, you can use the distance formula.
This formula is given by:
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Here, (x₁, y₁) are the coordinates of point E, and (x₂, y₂) are the coordinates of point F.
Using the coordinates of points E and F given in the problem, we can find the distance between them as follows:
Distance between E and F = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(5 - (-4))² + (3 - 7)²]
= √[(9)² + (-4)²]
= √(81 + 16)
= √97 ≈ 9.85 units
Therefore, the distance between E and F is approximately 9.85 units. The answer is not given in the options.
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Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.
Answer:
What the hell AC is not given so you can't find the Perimeter
Step-by-step explanation:
x^2+3x-70=0(x-7)(x+10)=0x-7=0x+10=0
x=7x=-10
AB=x+5
AB=12AB=-5
BC=x-2
BC=5BC=-12
Area of ABC = 30cm2
Perimeter of ABC = AB+BC+AC
i need help fast plz
Answer:
n= 11/12
Step-by-step explanation:
I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
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Eleri books a climbing activity. There are 138 people in total on the activity. The people are put into teams. There are 12 people in each team. Any people left over are in a small group. How many teams are there? Show how many people are in the small group.
Answer:
12
Step-by-step explanation:
138÷12=11R6
11 + 1 =12
What is the sum?
3x
X - 4
X-3
+
2x
7x2 + 7 x + 12
2X(X - 4)
6x4 - 7x + 12
2 x(x - 4)
7x2 - 7x + 12
2 x(x - 4)
6x4 + 7 x + 12
2X(X - 4)
Answer:
it's the third one.......
Help please! This is timed! 50 points
Answer:
24.96%
Step-by-step explanation:
HOPE I WAS FAST ENOUGH
Answer:
24.96%
Step-by-step explanation:
Nels works 8 hours and earns $52. How many hours would he have to work to earn $130?
Answer:
20 hours
Step-by-step explanation:
52/8 = $6.5/hour
130 / 6.5 = 20
20 hours
689x+47x-89 dose anyone know how to solve this?
Answer:
736x-89
Step-by-step explanation:
i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89
Answer:
736x-89
Step-by-step explanation:
first add the like terms (numbers with the same variables)
so now the equation is 736x-89
a manufacturing machine has a 5% defect rate. if 8 items are chosen at random, what is the probability that at least one will have a defect?
The probability of randomly choosing atleast one defective item would be 0.33657
Given the Parameters :
Defect rate = P(defect) = 0.05
Probability = required outcome / Total possible outcomes
P(atleast 1 is defective) = 1 - P(none is defective)
P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95
P(none is defective) = P(non defective)^5
P(none defective) = 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95= 0.6634
P(atleast one is defective) = 1 - 0.6634 = 0.33657
Therefore, probability of atleast one defective item is 0.33657
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Wish I didn’t have to say anything because the question is always in the picture
Answer:
The slope in Function A is greater :)
Step-by-step explanation:
Slope in A: 3
Slope in B: 1
Since previous studies have reported that elite athletes are often deficient in their nutritional
intake (e.g., total calories, carbohydrates, protein), a group of researchers decided to evaluate
Canadian high performance athletes. A total of n = 324 athletes from eight Canadian sports
centers participated in the study. One reported finding was that the average caloric intake
among the n=201 women was 2403.7 kcal/day. The recommended amount is 2811.5 kcal/day.
Is there evidence that female Canadian athletes are deficient in the caloric intake? (Assume
?=0.05 and the data comes from a normal population)
a. State the appropriate null and alternative hypotheses to test this.
b. Which n should be used (201 or 324)? What key word in the last sentence of the paragraph
above led you to this decision?
c. Assuming a population standard deviation of 880 kcal/day, what is the value of the test
statistic?
d. Sketch the normal curve, label your test statistic and shade the appropriate area related to
the p-value.
e. What is the p-value?
f. Do you reject or fail to reject the null hypothesis? Why?
g. Write a conclusion in terms of language related to the given problem.
a. Null hypothesis (H0): The average caloric intake among female Canadian athletes is equal to or greater than the recommended amount (µ ≥ 2811.5 kcal/day).
Alternative hypothesis (H1): The average caloric intake among female Canadian athletes is less than the recommended amount (µ < 2811.5 kcal/day).
b. The value of n that should be used is 201
c. SEM = 880 / √201
d. To sketch the normal curve and label the test statistic, we need the test statistic value and the critical region corresponding to the significance level α = 0.05
e. Without the test statistic or critical region, we cannot calculate the p-value.
f. Since we don't have the test statistic, critical region, or p-value, we cannot make a decision to reject or fail to reject the null hypothesis at this point.
g. Without the test statistic, critical region, or p-value, we cannot draw a conclusion regarding the evidence for or against the deficiency in caloric intake among female Canadian athletes.
a. The appropriate null and alternative hypotheses to test whether female Canadian athletes are deficient in caloric intake can be stated as follows:
Null hypothesis (H0): The average caloric intake among female Canadian athletes is equal to or greater than the recommended amount (µ ≥ 2811.5 kcal/day).
Alternative hypothesis (H1): The average caloric intake among female Canadian athletes is less than the recommended amount (µ < 2811.5 kcal/day).
b. The value of n that should be used is 201, which represents the number of female athletes in the study. The key word in the last sentence of the paragraph ("n=201 women") indicates that the information provided specifically pertains to the female athletes, not the entire sample of 324 athletes.
c. To calculate the test statistic, we need to determine the standard error of the mean (SEM) using the formula:
SEM = σ / √n
where σ is the population standard deviation and n is the sample size. In this case, the population standard deviation is given as 880 kcal/day, and the sample size is 201.
SEM = 880 / √201
d. To sketch the normal curve and label the test statistic, we need the test statistic value and the critical region corresponding to the significance level α = 0.05. However, the critical region is not provided in the given information.
e. The p-value represents the probability of obtaining a test statistic as extreme as or more extreme than the observed value, assuming the null hypothesis is true. Without the test statistic or critical region, we cannot calculate the p-value.
f. Since we don't have the test statistic, critical region, or p-value, we cannot make a decision to reject or fail to reject the null hypothesis at this point.
g. Without the test statistic, critical region, or p-value, we cannot draw a conclusion regarding the evidence for or against the deficiency in caloric intake among female Canadian athletes. Further analysis is required to obtain the missing information and make a conclusive statement.
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which part of this graph shows a nonlinear relationship
Answer:
B
Step-by-step explanation:
part 4 of the graph is a curve not a straight line.
linear means straight line and non-linear means not a straight line
Answer:
It b Number 2
Step-by-step explanation:
(ASAP!) Graph the image of the figure on the right under the given translation.
The translation is as shown in the figure in option B
What is translation transformation?Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.
The transformation required ahs the rule defined as
3 units to the right and 4 unit upApplying the rule arrives the image in option B
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