The formula for d is d = (t * 21/4b² + 3b)/5
To make d the subject of the formula t=4b²/21(d-3b/5), we need to isolate d on one side of the equation and simplify.
First, let's simplify the right side of the equation by multiplying the fraction by the LCD of 5:
t = 4b²/21(d-3b/5)
t = (4b²/21d) * 5d - 3b
Now, we can isolate d by dividing both sides of the equation by the coefficient of d on the right side:
t/(4b²/21) = 5d - 3b
Simplifying the left side, we get:
t * 21/4b² = 5d - 3b
Adding 3b to both sides of the equation, we get:
t * 21/4b² + 3b = 5d
Finally, we can divide both sides by 5 to isolate d:
d = (t * 21/4b² + 3b)/5
Therefore, the formula for d is:
d = (t * 21/4b² + 3b)/5
In words, to find the value of d, we need to multiply the value of t by 21/4b², add 3b to the result, and divide the sum by 5.
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At a convention, 192 speakers gave one or more presentations of varying lengths. the histogram
summarizes the total presentation time, in hours, of each speaker.
The 25th percentile of the data is therefore found in the 0 to 1-hour range.
What is a percentile?A percentile score is one that evaluates an individual's performance in relation to that of the other group members. It shows the percentage of scores that a certain score exceeded
There are 48 speakers present, or around 25% of the total 192 speakers.
The graph shows that 60 speakers delivered talks that lasted between 0 and 1 hour.
This signifies that the number 48 is between 0 and 1.
A percentile is a score that assesses a certain score in relation to the scores of the other group members. It displays the proportion of other scores that a given score exceeded.
The percentile calculation is used to compare an individual's performance to that of others in order to assess it. The percentile method is used to compare a student's test score to that of other candidates.
The 25th percentile of the data is therefore found in the 0 to 1-hour range.
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The complete question is:
help please if correct i may or may not give brainlest
Answer
no yes yes yes
Step-by-step explanation:
Answer:
no, yes, no, yes
Step-by-step explanation:
What is the midpoint of AB
Answer:
4
Step-by-step explanation: midpoint means between so from 1 to b the midpoint is 4
Please help ASAP!!!!,!!!
Answer:
-3
Step-by-step explanation:
9(2x + 5) + 6 = 6 + 3x
Do the distributive property first.
18x + 45 + 6 = 6 + 3x
Simplify the left side by adding like terms.
18x + 51 = 6 + 3x
Move the variables (x) to one side of the equation. I'm going to move the 3x to the left side by subtracting.
18x - 3x + 51 = 6
15x + 51 = 6
Move the constants to the others side. I'm going to subtract 51 from both sides.
15x + 51 - 51 = 6 - 51
15x = -45
Divide both sides by 15
15x/15 = -45/15
x = -3
Answer:
x = -3
Step-by-step explanation:
[Given]
9(2x + 5) + 6 = 6 + 3x
[Distrbute the 9]
18x + 45 + 6 = 6 + 3x
[Combine like terms on the left using addition]
18x + 51 = 6 + 3x
[Subtract 3x from both sides]
15x +51 = 6
[Subtract 51 from both sides to isolate the variable]
15x = -45
[Divide both sides by 15]
x = -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE ANSWER I WILL GIVE YOU BRAINIEST!!!!!!!!!!!
Answer:
A. Both are correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Table:
1 times 4 equals 4
2 times 4 equals 8
3 times 4 equals 12
(these are equal and have the same constant of proportionality making the table correct)
Graph:
When you look at the table and go to each point they are there.
(Please help!!!) A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 6.2 feet by 3 feet by 4 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.83 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Answer:
The answer to your problem is ↓
Part A: 110.8 feet
Part B: $77
Step-by-step explanation:
Calculation: Part A.
6.2 x 4 = 24.8
24.8 x 2 = 49.6
4 x 3 = 12
12 x 2 = 24
6.2 x 3 = 18.6
18.6 x 2 = 37.2
49.6 + 24 + 37.2 = 110.8
Calculation: Part B.
Same as the beginning of Part A:
6.2 x 4 = 24.8
24.8 x 2 = 49.6
4 x 3 = 12
12 x 2 = 24
6.2 x 3 = 18.6
49.6 + 24 + 18.6 = 92.2
92.2 x .83 = 76.526
We then need to round ‘ 76.526 ‘
Rounded = 77
Thus the answer to your problem is ↓
Part A: 110.8 feet
Part B: $77
Answer:
$76.526
Step-by-step explanation:
Front and back: length = 6.2 feet, width = 4 feet
Left and right: length = 3 feet, width = 4 feet
Top and bottom: length = 6.2 feet, width = 3 feet
The area of each face is:
Front and back: A = lw = (6.2)(4) = 24.8 square feet
Left and right: A = lw = (3)(4) = 12 square feet
Top and bottom: A = lw = (6.2)(3) = 18.6 square feet
The total surface area is the sum of the areas of all six faces:
SA = 2(24.8) + 2(12) + 2(18.6) SA = 49.6 + 24 + 37.2 SA = 110.8 square feet
Part B: To find the cost of covering the bench in ceramic tiles, we need to find the surface area of the bench excluding the bottom face that is on the ground. This is the same as the total surface area minus the area of the bottom face:
SA’ = SA - A(bottom) SA’ = 110.8 - 18.6 SA’ = 92.2 square feet
The cost of covering one square foot of the bench is $0.83, so the total cost is:
C = SA’ x $0.83 C = 92.2 x $0.83 C = $76.526
Rounding to the nearest cent, the cost is $76.53.
Received message. Part A: To find the total surface area of the bench, we need to find the area of each face of the rectangular prism and add them up. The formula for the area of a rectangle is A = lw, where l is the length and w is the width. The dimensions of the bench are 6.2 feet by 3 feet by 4 feet, so we can label the faces as follows: - Front and back: length = 6.2 feet, width = 4 feet - Left and right: length = 3 feet, width = 4 feet - Top and bottom: length = 6.2 feet, width = 3 feet The area of each face is: - Front and back: A = lw = (6.2)(4) = 24.8 square feet - Left and right: A = lw = (3)(4) = 12 square feet - Top and bottom: A = lw = (6.2)(3) = 18.6 square feet The total surface area is the sum of the areas of all six faces: SA = 2(24.8) + 2(12) + 2(18.6) SA = 49.6 + 24 + 37.2 SA = 110.8 square feet Part B: To find the cost of covering the bench in ceramic tiles, we need to find the surface area of the bench excluding the bottom face that is on the ground. This is the same as the total surface area minus the area of the bottom face: SA' = SA - A(bottom) SA' = 110.8 - 18.6 SA' = 92.2 square feet The cost of covering one square foot of the bench is $0.83, so the total cost is: C = SA' x $0.83 C = 92.2 x $0.83 C = $76.526 Rounding to the nearest cent, the cost is $76.53.
Please help me out I need help putting the numbers in the right place.
Answer:
3754
Step-by-step explanation:
Please answer it in two minutes
A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)
what assumption is checked when looking at a qqplot in a one-way anova model? select one: a. independence assumption b. identically distributed assumption c. normality assumption d. equal variances among the groups
Therefore, option (c)normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
What is Q–Q plot ?In statistics, a Q–Q plot is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against each other. A point on the plot corresponds to one of the quantiles of the second distribution plotted against the same quantile of the first distribution
Here,
normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
Explanation: The core tenet of the assumption of normality states that the sample mean distribution (across independent variables) is normal. Technically speaking, the Assumption of Normality asserts that the mean's sampling distribution or the distribution of means among samples is normal.
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Mark is playing baseball after school. He wants to find the total distance he will need to ride his bike from school to the park, where his game will be played. Find the distance Mark will ride to the park from school. Leave your answer in
simplest radical form if necessary.
- 6
- square root 13
- 5
- 2 square root 5
Answer:
i think it's 6.
...........................
Answer:
2√5
Step-by-step explanation:
school is at (8,7) and park is at (10,11)
distance formula is the square root of the difference of the y-values, squared, added to the difference of the x-values, squared.
d = √(11-7)²+(10-8)²
d = √4²+2²
d = √16+4
d = √20 which equals √4·√5 which equals 2√5
You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Answer:
c. $1,753.05; yes
Step-by-step explanation:
All calculations below are done on a monthly basis.
Gross salary in 1 month: $1675
Deduct 6.2% from gross salary:
0.062 * $1675 = $103.85
$1675 - $103.85 = $1571.15
Deduct 1.45% from gross salary:
0.0145 * 1675 = $24.29
$1571.15 - $24.29 = $1546.86
Deduct $975.23:
$1546.86 - $975.23 = $571.63
The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.
Deduct 2($35) and 2($75.51):
$571.63 - $70 - $151.02 = $350.61
The amount saved per month is $350.61.
In 5 months, the amount saved is 5 * $350.61 = $1753.05
$1753.05 is greater than $1,600.
Answer: c. $1,753.05; yes
the sum of 6, 7 times a number y and 7 times the same number y. Simplify
Answer:
Use the given functions to set up and simplify
y=7n
Step-by-step explanation:
6=
7⋅n=7n
7=7n
y=7n
answer this please
don't send a link
Answer:
Supplementary angles
Step-by-step explanation:
AEB and BEC form a straight line.
They add to 180 degrees
AEB+ BEC
150+30
180
That means that they are supplementary angles
Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon
Step-by-step explanation:
Suppose 8x+16 ice cream cones were sold on Saturday and 7x-9 cones were sold on Sunday. What is the total number of ice cream cones sold? Write an expression and then simplify it.
___________________________________________________
Total number of ice-creams sold / –
= No of ice-creams sold on Saturday + No of ice-creams sold on Sunday
= (8x + 16) + (7x – 9)
= 8x + 16 + 7x – 9
= 8x + 7x + 16 – 9
= 15x + 7 ( — Ans )
______________________________________________________
If s = 1 over 3 unit and A = 18s² what is the value of A, in square units? ____ square unit(s).
Answer:
If s = 1 over 3 unit and A = 18s² what is the value of A, in square units? ____ square unit(s).Step-by-step explanation:
Estimate the sum to the nearest whole number. Then perform the
calculation.
8.575 + 12.625 + 8.4 + 70.4
Answer:
=100
Step-by-step explanation:
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Question 3
If 5x + 2 = 17, then 12x =
?
Answer:
36
Step-by-step explanation:
in 5x+2=17, you solve and get x=3. Then you do 12(3) to get 36.
Five friends shared 1/5 kilogram of nuts equally. What fraction of a kilogram of nuts did each friend eat?
Answer:
they each got 1/5.there are five friends, if they share 1/5 then each gets 1/5 of nuts.
The fraction of the kilogram of nuts did each friend eat should be considered as the 1/5.
Calculation of the fraction:Since Five friends shared 1/5 kilogram of nuts equally
So here the fraction should be the same as shared by the five friends i.e. 1 by 5.
Therefore, The fraction of the kilogram of nuts did each friend eat should be considered as the 1/5.
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The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?
By using right tailed test the following results are obtained
a) The test is a right tailed test
b) P value = 0.0681
c) We fail to reject the null hypothesis
What is right tailed test?
Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.
a) Since p > 0.8, right tailed test is used
b) The corrosponding z is z = 1.49
P value = p(z > 1.49)
= 1 - p(z \(\leq\) 1.49)
= 1 - 0.9319
= 0.0681
c) 0.0681 is greater than a = 0.05
So we fail to reject the null hypothesis \(H_0\)
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solve for " x "
\(x = 42 - 9\)
\(\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(x = 42 - 9\)
➼\(\:x = 33\)
Therefore, the value of \(x\) is 33.
\(\sf\pink{Thank\:you. \:ヅ}\)
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that
F =∇.f
F(x, y, z) = eyzi + xzeyzj + xyeyzk
The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C
How to determine vector field?
To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.
Taking the curl of F, we have:
curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k
Evaluating the partial derivatives, we get:
curl(F) = (z - z) i + (x - x) j + (y - y) k
= 0
Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:
f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)
∫xzeyzj dy = xy²ezj + g₂(x, z)
∫xyeyzk dz = xyzek + g₃(x, y)
Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:
f(x, y, z) = xeyzi + xy²ezj + xyzek + C
Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.
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Order of Operations With Integers. Please help me solve and how you got the answer!! help, please!!
Answer:
2
Step-by-step explanation:
\(\frac{(-2)(-3)(-4)}{-9 + (-3)}\)
First, simplify the top and bottom separately:
\(\frac{-24}{-12}\)
Then, just divide:
\(-24 / -12 = 2\)
13434yards of ribbon cost $7. Find the cost per yard. (Unit Rate).Enter your answer as a whole number or a decimal. Do not include a label.
Answer:
1,919.1
Step-by-step explanation:
I know that's the answer
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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Consider the following observations on a receptor binding measure (adjusted distribution volume) for a sample of 13 healthy individuals: 22, 39, 40, 42, 43, 46, 51, 57, 64, 65, 68, 69, 72. Predict the adjusted distribution volume of a single healthy individual by calculating a 95% prediction interval.
The 95% prediction interval for the adjusted distribution volume of a single healthy individual is approximately 12.03 to 76.89.
To calculate a 95% prediction interval for the adjusted distribution volume of a single healthy individual based on the given data, follow these steps:
1. Calculate the mean (µ) and standard deviation (σ) of the sample:
Mean (µ) = (22+39+40+42+43+46+51+57+64+65+68+69+72) / 13 = 578 / 13 = 44.46
Standard deviation (σ) = √(Σ(x-µ)² / (n-1)) = 15.15 (approx.)
2. Find the t-value corresponding to a 95% prediction interval for 12 degrees of freedom (n-1) from a t-distribution table or calculator (e.g., online t-table or calculator). The t-value for 12 degrees of freedom and 95% prediction interval is 2.179 (approx.).
3. Calculate the prediction interval using the following formula:
Prediction interval = µ ± t * σ * √(1 + (1/n))
Prediction interval = 44.46 ± 2.179 * 15.15 * √(1 + (1/13))
4. Compute the final values:
Lower bound: 44.46 - 2.179 * 15.15 * √(1 + (1/13)) = 12.03 (approx.)
Upper bound: 44.46 + 2.179 * 15.15 * √(1 + (1/13)) = 76.89 (approx.)
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solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
bert can weed the garden in 3 hours. if bert and ernie work together, they can finish the job in 2 hours. how long would it take ernie to do the job by himself? letting x equal the number of hours it takes ernie to do the job by himself, write and solve an equation.
Answer:
It will take Ernie 6 hours to do the job by himself
Step-by-step explanation:
Rate x time = job
Burt's rate x time + Ernie's rate x time = 1 job getting completed.
\(\frac{1}{3}\)(2) + x(2) = 1 To clear the fraction multiply everything by 3
2 + 6x = 3 Subtract 2 from both sides
6x = 1 Divide both sides by 6
x = \(\frac{1}6}\) This is Ernie's rate
The rate is the number of jobs 1 over the number of hours 6, so it will take Ernie 6 hours to do this job by himself
Breakdown of clearing the fraction:
(\(\frac{1}{3}\))(2) + x2 = 1 Multiply everything by 3 to clear the fraction.
(\(\frac{3}{1}\))(\(\frac{1}{3}\)((\(\frac{2}{1}\)) + (3)(x2) = (3) (1)
\(\frac{6}{3}\) + 6x = 6
2 + 6x = 6
Female giraffes reach a height of 4.3 meters, and males reach a height of 5.5 meters. Kendra created a bar diagram and wrote an equation to find the difference in the heights.
Answer:
The numbers are in the wrong places in the diagram. 5.5m should be in the top bar diagram and 4.3 in the bottom.
Step-by-step explanation:
Is right trust me
Answer:
The numbers are in the wrong places in the diagram. 5.5m should be in the top bar diagram and 4.3 in the bottom.
Step-by-step explanation:
Is not the sample response :)