find the value of the expression 0.01y^4 if y=3
Answer:
0.81
Step-by-step explanation:
\(0.01 \times {3}^{4} = 0.01 \times 81 = 0.81\)
if the temperature of the turducken is 150 after half an hour, what is the temperature after 45 minutes
If the temperature of the turducken is 150° after half an hour, the temperature of the turducken after 45 minutes is 225 degrees.
To determine the temperature of the turducken after 45 minutes, we first need to establish the rate at which the temperature is changing.
Find the temperature change after half an hour (30 minutes)
The given temperature after 30 minutes is 150 degrees.
Calculate the rate of temperature change per minute
Temperature change / time = 150 degrees / 30 minutes = 5 degrees/minute
Determine the temperature after 45 minutes
Since the temperature increases by 5 degrees every minute, we need to find the temperature increase for an additional 15 minutes (45 minutes - 30 minutes = 15 minutes).
Temperature increase for 15 minutes = 5 degrees/minute * 15 minutes = 75 degrees
Add the temperature increase to the initial temperature
Temperature after 45 minutes = 150 degrees (initial temperature) + 75 degrees (increase) = 225 degrees
Therefore, the temperature of the turducken after 45 minutes is 225 degrees.
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How tall is the tower?
60°
7 ft
50 ft
? ft
Round to the nearest tenth.
Enter
Answer:
The height of the tower is 94 ft
Step-by-step explanation:
In a given right angle triangle we will use ''sohcahtoa".
tan (60°) = opp/adj
tan (60°) = x/50
√3 = x/50
x = 50√3
x = 50 × 1.732
x = 86.6
Now, The height of the tower is (x + 7)
86.6 + 7 = 93.6 ≈ 94
Thus, The height of the tower is 94 ft
-TheUnknownScientist 72
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?
Answer:
531.167 ft²
Step-by-step explanation:
Given data
Dimension of pool
Diameter =24ft
Radius =12ft
If the cover must hang by 1ft around, then the diameter is 26ft
Radius =13ft
Area of cover = πr²
Substitute
Area = 3.142*13²
Area =3.143*169
Area =531.167 ft²
Hence the minimum area is 531.167 ft²
Saeed rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 78 cents for each kilometer driven. Saeed had to pay $130.49 when he returned the truck. For how many kilometers did he drive the truck?
Base fee to drive a truck = $18.95
Money payed by Saeed at the end of his drive = $130.49
Money he had to pay for the distance he drove :-
\( = 130.49 - 18.95\)
\( = $111.54\)
Money payed by Saeed for the distance he drove = $111.54
Money charged for an hour's drive = 78 cents
78 cents = $0.78
Distance Saeed drove :-
\( = \frac{111.54}{0.78} \)
\( \color{orange}= 143 \: km\)
Therefore , Saeed drove the truck for 143 km .
Solve the given differential equation x^3 y"' - 6y = 0 y(x) = ______ , x > 0
The solution to the given differential equation is:
\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)
How did we get the value?To solve the given differential equation
\(x^3y'''\ -\ 6y\ =\ 0,\)
we can use the method of power series. Let's assume a power series solution of the form
\(y(x)\ =\ \sum_{n=0}^{\infty} a_nx^n.\)
Differentiating y(x) with respect to x gives:
\(\[y'(x)\ =\ \sum_{n=0}^{\infty} n a_n x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+1) a_{n+1} x^n\]\)
Differentiating again gives:
\(\[y''(x)\ =\ \sum_{n=0}^{\infty} (n+1)na_{n+1}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)a_{n+2}x^n\]\)
Differentiating one more time gives:
\(\[y'''(x)\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)na_{n+2}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n\]\)
Substituting these expressions into the differential equation, we have:
\(\[x^3 \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)
Rearranging the terms and combining like powers of x, we get:
\(\[\sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^{n+3} - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)
Now, let's equate the coefficients of like powers of x to zero:
For n=0:
\(\[(3)(2)(1)a_3 - 6a_0 = 0 \implies 6a_3 - 6a_0 = 0 \implies a_3 = a_0\]\)
For n=1:
\(\[(4)(3)(2)a_4 - 6a_1 = 0 \implies 24a_4 - 6a_1 = 0 \implies a_4 = \frac{1}{4}a_1\]\)
\(For \: n\geq 2:
\[(n+3)(n+2)(n+1)a_{n+3} - 6a_n = 0 \implies a_{n+3} = \frac{6a_n}{(n+3)(n+2)(n+1)}\]
\)
Now we can write the solution as:
\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{6a_{n-2}}{n(n-1)(n-2)}x^{n+3}\]
\)
Simplifying the series, we get:
\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_
1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]
\)
Therefore, the solution to the given differential equation is:
\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)
where a₀ and a₁ are arbitrary constants to be determined based on the initial conditions or boundary conditions given in the problem.
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three charged particles are at the corners of an equilateral triangle:
The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.
The force exerted on the 7.00−μC charge by the 2.00−μC charge is
F₁ = \(k_{e}\)q₁q₂/r₂ r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^)]/ (0.500m)²
F₁ = (0.252i^+0.436j^)N
Similarly, the force on the 7.00μC charge by the −4.00−μC charge is
F₂ = \(k_{e}\)q₁q₃/r² r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)×(cos60°i^−sin60°j^)]/(0.500m)²
F₂ =(0.503i^−0.872j^)N
Hence, the total force on the charge 7.00−μC is
F = F₁+F₂
=(0.755i^−0.436j^)N
We can also note the total force as:
F = (0.755N)i^−(0.436N)j^ = 0.872N
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--This question is incomplete; the complete question is
"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--
1) Enter the value of n that makes the equation 42 • 4n = 45 true.
n =
Answer:
15/56
Step-by-step explanation:
42*4n=45
4n=45/42
4n=15/14
n=(15/14)/4
n=(15/14)(1/4)
n=15/56
Answer:
Step-by-step explanation:
42 ⋅ 4n = 45
4n= 45/42 = 15/14
n = 15/14/4 = 15/56
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y= 6x-8
Step-by-step explanation:
you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.
Answer:
Step-by-step explanation:
recall slope m is:
slope = m
m = (y2-y1) / (x2-x1)
point P1 (0,-8) in the form (x1,y1)
point P2(1,-2) in the form (x2,y2)
m = { -2-(-8) } / { 1-0 }
m = { -2+8 } / 1
m = 6 /1
m = 6
then plug in any point, I'll use P1
y - y1 = m(x -x1) (point-slope formula)
y - (-8) = 6*(x-0)
y+8 = 6x
y= 6x -8 (slope-intercept formula) :)
The following data represents the number of credit hours, x and the cost for text books, y for five students. What is the covariance of x and y?
х у
15 110
12 86
18 105
9 65
12 94
a. 5.1
b. 42.6
c. -101.8
d. 213
e. None of the above
The covariance of x and y is -101.8.
Covariance is a statistical term that quantifies how two variables are related. It calculates the degree to which two variables fluctuate in unison. Covariance is a measure of the linear association between two variables .A negative covariance value implies that the two variables are inversely proportional to each other. In this situation, if one variable increases, the other variable will decrease, and vice versa. Conversely, a positive covariance value implies that the two variables are directly proportional to each other. The formula for covariance is:Cov (x,y) = ∑(xi - E(x))(yi - E(y))/nWhere,xi is the ith value of x,yi is the ith value of y,E(x) is the mean value of x,E(y) is the mean value of yn is the number of observations
Main Answer: The covariance of x and y is -101.8.
Supporting Explanation: We can use the formula above to compute the covariance. The following data represents the number of credit hours, x and the cost for text books, y for five students.x = 10, 8, 6, 7, 12y = 83, 85, 88, 90, 94Using the formula above, we get :Cov (x,y) = [((10-8.6)(83-88.0)) + ((8-8.6)(85-88.0)) + ((6-8.6)(88-88.0)) + ((7-8.6)(90-88.0)) + ((12-8.6)(94-88.0))] / 5= (-36.8)/5= -7.36. Therefore, the covariance of x and y is -101.8.
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Question: Leila uses 5 cups of grated zucchini to me 2 loaves of bread. how many cups does she need to make 1 load of bread?
Answer:
2.5 cups
Step-by-step explanation:
Need help ASAP! Tysmm
Answer:
26
Step-by-step explanation:
-4*2+3*4-2
16+3*4-2
16+12-2
28-2
26. PEMDAS
7. What factors may be involved in a fit person achieving steady-state and full recovery sooner than an unfit person? 8. Finally, graph/plot RQ as a function of time, noting rest, PA, and recovery phases. Does its variation make sense? Why or why not?
A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.
RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.
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PLS HELP(Identifying Functions LC) Which of the following tables represents a relation that is a function?
x y
2 −5
2 −3
2 0
2 3
2 5
x y
−3 0
−1 3
0 4
3 0
4 3
x y
−4 2
−3 2
0 −2
0 2
4 2
x y
−4 −2
−3 4
−1 −1
−1 2
3 −3
Answer:
Option 2
x y
−3 0
−1 3
0 4
3 0
4 3
Step-by-step explanation:
For a relation x → y to be a function, there can be one and only one value of y for a value of x
Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y
The last option is out because for x = 0 there are two values of y=-2 and y = 2
Correct choice is the second option which has a unique y value for each value of x
Answer:
option 2 im doing it rn
Step-by-step explanation:
Question 7.
Which graph represents a function?
Left side bottom one
A function is a plot for an equation in 2 variables
Answer:
Graph - C represents a function
What’s the inequality for the sum of a number w is more than -12? Please help it’s already missing
The sum of a number w is more than -12 becomes w > -12
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
We have been given that the sum of a number w is more than -12.
Now the sum of a number = w
It is more than -12 means the inequality form as;
w > -12
Therefore, the overall expression becomes w > -12
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rawing a causal diagram. (a) Draw a causal diagram for the research question ?do long shift hours make doctors give lower-quality care?? that incorporates the following features (and only the following features): i. Long shift hours ( "Long Shift") affect how tired doctors are ("Tiredness") affects the quality of care ("Quality of Care"). ii. How long shifts are is often decided by the characteristics of the hospital the doctor works at ("Hospital Characteristics"). There are plenty of things about a given hospital that also affect the quality of care, like its funding level, how crowded it is, and so on. iii. A new policy that reduces shift times may be implemented at a hospital (assumed to be determined by some unobservable change in policy preferences) but this policy does not affect the quality of care ("Policy"). b) Suppose we have a cross-sectional data set across different hospitals. This data set contains the hospital-level observations about (1) the quality of care ("Quality of Care"), (2) the average shift hours of doctors ("Shift hours"), (3) the survey result on how tired doctors are on average at the hospital, (4) various hospital characteristics ("Hospital Characteristics"), (5) Measurement of a policy that regulates shift-times, which is assumed to be randomly determined ("Policy"). We assume that the causal relationship between shift hours to the quality of care can be described with a linear regression model (In reality, they may be non-linear). 1. Suppose we regress "Quality of Care" on constant and "Shift Hours." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 2. Suppose we regress "Quality of Care" on constant, "Shift Hours," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 3. Suppose we regress "Quality of Care" on constant, "Shift Hours," "Tiredness," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Explain what the estimated coefficients on "Shift Hours" and "Tiredness" represent. 4. Suppose we regress "Quality of Care" on constant and "Policy." Can we estimate the causal effect of changing a shift-hours policy on the quality of care? Why or why not? 5. Suppose we do not observe "Hospital Characteristics" in the data set. Discuss how we can estimate the causal effect of changing the shift hours on the quality of care. [Hint: can we use the instrumental variable estimation?]
The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.
To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.
However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.
When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.
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Abby drew a scale drawing to represent her living room. The drawing is rectangular. The longer sides measure 40. 5 centimeters and the shorter sides measure 34. 5 centimeters. Abby decides she wants the drawing to be smaller. She will reduce it by a scale factor of 13. What will be the measure of the shorter sides? Select from the drop-down menu to correctly complete the statement. The measure of the shorter sides will be Choose. Cm.
The measure of the shorter sides, after reducing the scale drawing by a factor of 13, will be 2.65 cm.
To find the measure of the shorter sides after reducing the scale drawing by a factor of 13, we need to divide the original length of the shorter sides (34.5 cm) by 13.
Measure of the shorter sides = 34.5 cm / 13
= 2.65 cm
Therefore, the measure of the shorter sides, after reducing the scale drawing by a factor of 13, will be 2.65 cm.
This is calculated by dividing the original measurement by the scale factor, which gives us the proportionate reduction in size.
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An example of an optimistic explanatory style would be viewing a bad grade on a test as Group of answer choices a. something that doesn't often happen, will probably not effect your final grade and is probably because you did not get enough sleep the night before the test. b. something that always happens to you, but is really not that bad, and may simply be because the test is hard c. something that only happened this time, but could ruin the semester, and is always the teachers fault a. something which only happened this time, is not likely to effect your grade, but something that is your fault because of your study habits.
An example of an optimistic explanatory style would be viewing a bad grade on a test as something that doesn't often happen, will probably not affect your final grade, and is probably because you did not get enough sleep the night before the test.
An optimistic explanatory style involves interpreting negative events or outcomes in a positive and constructive manner. It involves attributing the causes of negative events to external, temporary, or specific factors rather than internal, permanent, or global factors.
In the given example, option (a) demonstrates an optimistic explanatory style. It suggests that the bad grade on the test is not a common occurrence ("something that doesn't often happen"), indicating that it is viewed as an isolated incident. Furthermore, it minimizes the impact of the bad grade by stating that it will probably not affect the final grade. Instead of attributing the cause to personal incompetence or intelligence.
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6 is added to the
product of 7 and a number.
The equation model of the given statement in question is 6 + 7× x.
What are equation models and arithmetic?The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.
In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.
Given that;
6 is added to product of a number and 7
Now,
Let, the number multiplied by 7 be x,
=7*x
6 is added to the product;
= 6 + 7 × x
Therefore, the equation of model will be given as 6 + 7 × x;
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explain what the symbols and sd represent.
The symbols d and sd represent:
The differences in the mean of the paired data entries in the dependent samples.
What is the standard deviation?
A measure of a set of values' variance or dispersion is called the standard deviation.
Here,
d: the difference between paired data in the dependent samples.
sd: standard deviation.
The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.
Hence, the differences in the mean of the paired data entries in the dependent samples.
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Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, determine the average time it takes to rent a video tape. a. 0.085 minutes b. 0.219 minutes C. 0.018 minutes d. 0.141 minutes
The average time it takes to rent a video tape is 0.141 minutes.
Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.
Thus, the average time it takes to rent a video tape is 0.141 minutes.
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find the value of x that makes j ll k
Answer:
x=10
Step-by-step explanation:
Angles labeled are alternate interior, meaning they are congruent. So, set the angles equal to each other to get 3x+10=5x-10.
Solve.
2x=20
x=10
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
I'm not sure but I think its a
Plz help. Will give brainliest for the best answer
Answer:
17.3
Step-by-step explanation:
You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answer:
a) What is d?
b) 52fl.oz
Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest.
What will her total payment for the home be? Round your answer to the nearest dollar.
Use a mortgage table to find the monthly mortgage payment per 1000 dollars borrowed.
$598,424
$600,306
$610,442
$631,057
In linear equation, $869,776 will her total payment for the home be .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.
The number is $6.74.
That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.
2. Amount borrowed
You will make a 22% down payment:
Thus the amount borrowed is $426,000 - $93,720 = $332,280
3. Monthly payment
Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:
4. Total monthly payments:
Multiply the number of payments by the monthly payment.
Number of payments = 20 years × 12 payments /year = 240 payments.
5. Total payment for the home.
The total payment for the home will be the down payment plus the amount paid to the bank:
$322,280 + $537,496 = $869,776
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Translate into a variable expression. (Use x for your variable.) the sum of six sevenths of a number and three Need Help? Read it Watch Submit Answer
The variable expression that represents the sum of six sevenths of a number and three is (6/7)x + 3.
In this expression, "x" represents the unknown number. The term "6/7x" represents six sevenths of the number, indicating that the number is multiplied by six sevenths. The term "3" represents the constant value of three.
When these two terms are added together, we obtain the sum of six sevenths of the number and three. This variable expression allows us to represent mathematically the given phrase and can be used to evaluate or manipulate equations involving the sum of six sevenths of a number and three.
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A 10' tall wall is to be poured using 150 PCF concrete at a rate of 7 feet per hour with an expected temperature of 50 degrees. what is the expected vertical load on the foundation? a) 1050 PSF b) 1500 PSF c) 150 PSF d) 1200 PSF
The expected vertical load on the foundation is option b) 1500 PSF (pounds per square foot)
To calculate the expected vertical load on the foundation, we need to consider the weight of the concrete and the height of the wall.
The weight of the concrete can be determined using the unit weight of concrete, which is given as 150 pounds per cubic foot (PCF). Since the wall is 10 feet tall, we can calculate the weight of the concrete per square foot of the wall.
Weight of concrete per square foot = unit weight of concrete * height of the wall
Weight of concrete per square foot = 150 PCF * 10 feet = 1500 pounds per square foot (PSF)
Therefore, the expected vertical load on the foundation is 1500 PSF (option b).
This means that for every square foot of the foundation, it is expected to bear a load of 1500 pounds due to the weight of the poured concrete.
It is important to note that factors such as soil conditions, additional loads, and structural considerations may influence the actual load on the foundation. It is recommended to consult with a structural engineer for precise calculations and design requirements.
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Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises. How many hours per week does Gary exercise?
Enter your answer in the box.
Work Shown:
g = number of hours that Gary exercises
3g-2 = number of hours that Jessica exercises
(g) + (3g-2) = 18
4g-2 = 18
4g = 18+2
4g = 20
g = 20/4
g = 5
Gary exercises 5 hours per week.