Answer:
x = 6
I hope this helps!
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answer:
its 1,2,4,5
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
Arc PQ is congruent to arc SR. TRUE
The measure of arc QR is 150°. TRUE
The circumference of circle C is 20π cm. FALSE
Arc PS measures about 13.1 cm. TRUE
Arc QS measures about 15.7 cm. TRUE
Liz flips a coin 60 times. The coin lands heads up 42 times and tails up 18 times. Complete eachstatement.The theoretical probability of the coin landing heads up is [%.
Given:
The number of times coin flipped is N = 60.
The number of heads is n(H) = 42.
The number of tails is n(T) = 18.
The objective is to find the theoretical probability of coin landing heads up.
Explanation:
The general probability of coin landing heads is,
\(P(H)=\frac{n(H)}{N}\text{ . . . . . .(1)}\)On plugging the given values in equation (1),
\(P(H)=\frac{42}{60}=0.7\)To obtain the percentage of probability,
\(\begin{gathered} P(H)=0.7\times100 \\ =70\text{ \%} \end{gathered}\)Hence, the probability of the coin landing heads up is 70%.
Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
acrylamide, a possible cancer-causing substance, forms in high-carbohydrate foods cooked at high temperatures. acrylamide levels can vary widely even within the same type of food. an article appearing in a certain journal included the following acrylamide content (in nanograms/gram) for five brands of biscuits. 344 294 333 276 248 (a) calculate the mean acrylamide level (in nanograms/gram). nanograms/gram
An article appearing in a certain journal included the following acrylamide content for five brands of biscuits. 344 , 294, 333, 276, 248. The mean acrylamide level (in nanograms/gram) is 299.
In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values. It is commonly referred to as the average.
To calculate the mean, all the data values are added together, and then this sum is divided by the number of data points in the dataset. The formula for calculating the mean is:
mean = (sum of values) / (number of values)
To calculate the mean acrylamide level, we need to add up all the acrylamide levels for the five brands of biscuits and divide the sum by the total number of brands.
Sum of acrylamide levels = 344 + 294 + 333 + 276 + 248 = 1495
Total number of brands = 5
Mean acrylamide level = (Sum of acrylamide levels) / (Total number of brands) = 1495 / 5 = 299
Therefore, the mean acrylamide level is 299 nanograms/gram.
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which of the following is a condition in order for a setting to be considered binomial: group of answer choices the probability of success is the same for each trial. each observation/trial has 3 possible outcomes. the number of outcomes varies on the first success. the trials are dependent on one another.
The main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.
A condition for a setting to be considered binomial is that the probability of success is the same for each trial.
In order for a setting to be considered binomial, there are certain conditions that need to be met. The first condition is that the probability of success remains constant for each trial or observation. This means that the likelihood of achieving the desired outcome remains unchanged throughout the entire process.
The second condition states that each observation or trial must have exactly 3 possible outcomes. This implies that there are only three options or choices for each trial, typically categorized as success, failure, or a neutral outcome.
The third condition is that the number of outcomes should not vary based on the occurrence of the first success. This means that the probability of success is not affected or altered by the outcome of previous trials.
Lastly, the fourth condition is that the trials or observations must be independent of one another. This implies that the outcome of one trial should not impact the outcome of subsequent trials.
Therefore, the main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.
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Round your answer to the nearest tenth.
cos 40°=AC : AB
AC = AB cos 40°
AC = 4 x cos 40°
AC = 3.064 = 3.1
Analysis in the picture hope its helps
ANSWER :
AC = 3.06
17.0. The table displays all possible samples of size 2 and the corresponding median for each sample.
17, 16
Sample 72 = 2
Sample Median
16.5
Using the medians in the table, is the sample median an unbiased estimator?
18, 18
18
Mark this and return
18, 17
17.5
4
18, 17
17.5
18, 16
17
18, 16
17
18, 15
16.5
Yes, 50% of the sample medians are 17 or more, and 50% are below.
O Yes, the mean of the sample medians is 16.8, which is the same as the mean age of the officers.
O No, the mean of the sample medians is 16.8, which is not the same as the median age of the officers.
O No, the median of the sample medians is 16.75, which is not the same as the median age of the officers.
Save and Exit
18, 15
16.5
17, 15
16
Next
Submit
16,
15
Using the provided table as a foundation, the sample median is a fair approximation. The reason is that the sample median is not biassed towards any one value because 50% of the sample medians are 17 or higher and 50% are lower.
A procedure or function called an estimator is used to estimate a specific quantity using data from observations.
The estimator generates an estimate as a result of using the observed data as input. If the expected value of an estimator matches the actual value of the parameter being estimated, the estimator is said to be impartial.
To put it another way, an estimator is impartial if it generates parameter estimates that are generally accurate. The estimator is considered to be biassed if the expected value of the estimator differs from the parameter's true value.
Thus, the anticipated discrepancy between an estimator and the true parameter is known as bias.
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Eddy Book Co. uses the allowance method to record uncollectible accounts receivable. The company had credit sales of $8,900,000 for 20Y5 and a balance of $2,200 in its Allowance for Doubtful Accounts before any adjusting entries. The company has a calendar year-end. a. Prepare the adjusting entry to record the Bad Debt Expense for 20Y5 if the company expects that %% of credit sales will be uncollectible. b. What will the adjusted balance of Allowance for Doubtful Accounts be at year-end? a. Prepare the adjusting entry to record the Bad Debt Expense for 20Y5 if the company expects that %% of credit sales will be uncollectible.
a. The adjusting entry to record the Bad Debt Expense for 20Y5 would be:
Bad Debt Expense $44,500Allowance for Doubtful Accounts $44,500b. The adjusted balance of the Allowance for Doubtful Accounts at year-end would be $46,700.
a. To prepare the adjusting entry to record the Bad Debt Expense for 20Y5, assuming that 1/2% of credit sales will be uncollectible, we can calculate the amount as follows:
Bad Debt Expense = Credit Sales * (1/2%) = $8,900,000 * (1/2%) = $8,900,000 * 0.005 = $44,500
Therefore, the adjusting entry to record the Bad Debt Expense for 20Y5 would be:
Bad Debt Expense $44,500
Allowance for Doubtful Accounts $44,500
b. To determine the adjusted balance of the Allowance for Doubtful Accounts at year-end, we need to consider the initial balance of $2,200 and the Bad Debt Expense recorded in the adjusting entry.
Adjusted Balance of Allowance for Doubtful Accounts = Initial Balance + Bad Debt Expense
= $2,200 + $44,500
= $46,700
Therefore, the adjusted balance of the Allowance for Doubtful Accounts at year-end would be $46,700.
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In Exercises 1 and 2, use a ruler to measure the length of the segment to the
nearest eighth of an inch.
Answer:
Time to sleep bro
Step-by-step explanation:
have sweet dreams
Rewrite the equation in the form (x−p)2=q. 0=x2-16x+26
Answer:
(x - 8)² = 38
Step-by-step explanation:
Given
x² - 16x + 26 = 0 ( subtract 26 from both sides )
x² - 16x = - 26
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 26 + 64
(x - 8)² = 38 ← as required
Help me with this please
Answer: is it -3,11
Step-by-step explanation:
What is the answer please give i really help and no links
Answer:
\(9\frac{57}{63}\)
Step-by-step explanation:
First, we need to turn them into improper fractions:
\(2\frac{4}{7}\) + \(7\frac{3}{9}\)
7 x 2 + 4
7 x 9 + 3
\(\frac{18}{7}\) + \(\frac{66}{9}\)
Next, we need to find a common multiple of both 7 and 9
7, 14, 21, 28, 35, 42, 49, 56, 63
9, 18, 27, 36, 45, 54, 63
So the denomonator turns into 63.
We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.
18 x 9 = 162
66 x 7 = 462
\(\frac{162}{63}\) + \(\frac{462}{63}\) = \(\frac{624}{63}\)
Next, we have to turn it back into a mixed number.
To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.
9 x 63 = 567
624 - 567 = 57 (Working out the remainder.)
Combining them, the answer is therefore \(9\frac{57}{63}\)
Hope this helps and have a good day!
79 percent of 67 miles is what
Answer:
52.93
Step-by-step explanation:
. the second hand on a clock is 5 inches long. how far (to the nearest tenth of an inch) does the tip move in 10 seconds?
The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.
The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:
C = 2πr
where C is the circumference, π is approximately equal to 3.14159, and r is the radius.
If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.
Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159
If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.
Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:
1/6 C = 1/6(31.4159 inches) = 5.23598 inches
Round off to the nearest tenth of an inch.
5.23598 inches = 5.2 inches
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∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
2 1 Simplify the expression by combining like terms. i 3n + 6p + 3+n
Answer:
4n + 6p + 3
Step-by-step explanation:
3n + 6p + 3+n
In this equation, 3n + n are like terms. Adding 3n + n together gives 4n
4n + 6p + 3
Solve: (−6x 6
+3y)+(3x−3y 4
)y ′
=0 a. This equation is exact because M y
(x,y) and N x
(x,y) are both equal to b. The general solution is Ψ(x,y)= =C. c. The particular solution passing through the point (1,−3) is =0.
The particular solution passing through the point (1, -3) is y(x) = 108x6 + 12.
Given equation is (−6x6+3y)+(3x−3y4)y′=0
Let's determine whether the given equation is exact or not.
To check whether the given differential equation is exact or not, we can check whether the following conditions are satisfied or not. If M(x, y)dx + N(x, y)dy = 0 is an exact differential equation, then it must satisfy the following conditions:
Then the general solution of the differential equation is given by Ψ(x, y) = c; where c is the arbitrary constant. The particular solution passing through the point (1,-3) is y(x) = c.The given equation is an exact differential equation because my(x, y) and Nx(x, y) are equal.
Here my(x, y) = 3 and Nx(x, y) = 3
Therefore, Ψ(x, y) = -6x6y + 3y2 + C
Thus, the general solution of the differential equation is Ψ(x, y) = -6x6y + 3y2 + C.
The particular solution passing through the point (1, -3) is
y(x)
= -6x6(-3) + 3(-3)2 + C
= 108x6 + 9 + C
Therefore, the particular solution passing through the point (1, -3) is y(x) = 108x6 + 12.
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Thus, the specific arrangement passing through the point (1, -3) is given by:
Ψ(x, y) = (193/5) + C, where C is decided by the starting equation or extra data.
Equation calculation.
To fathom the given equation: (-6x^6 + 3y)dx + (3x - 3y^4)dy =
To begin with, we ought to check in case the equation is correct by confirming on the off chance that the halfway subordinates of M with regard to y and N with regard to x are rise to:
∂M/∂y = 3
∂N/∂x = 3
Since ∂M/∂y = ∂N/∂x, the equation is exact.
To discover the common arrangement, we have to be coordinated the function M(x, y) with regard to x and the work N(x, y) with regard to y, whereas including an arbitrary function F(y) of one variable:
∫(-6x^6 + 3y)dx = -x^7 + 3xy + F(y) = Ψ(x, y)
Presently, we separate the expression for Ψ(x, y) with regard to y and liken it to the function N(x, y):
∂Ψ/∂y = ∂/∂y (-x^7 + 3xy + F(y))
= 3x + F'(y)
Since this must be break even with to (3x - 3y^4), we have F'(y) = -3y^4.
Joining F'(y) with regard to y, we discover F(y) = -y^5/5 + C, where C could be a steady of integration.
Hence, the common arrangement is:
Ψ(x, y) = -x^7 + 3xy - y^5/5 + C
To discover the specific arrangement passing through the point (1, -3), we substitute the values into the common arrangement:
Ψ(1, -3) = -(1)^7 + 3(1)(-3) - (-3)^5/5 + C
= -1 - 9 + 243/5 + C
= -10 + 243/5 + C
= (193/5) + C
Thus, the specific arrangement passing through the point (1, -3) is given by:
Ψ(x, y) = (193/5) + C, where C is decided by the starting equation or extra data.
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when to use the one mean z test for sample of moderate size (between 15 and 30)
The one mean z test can be used for a sample of moderate size (between 15 and 30) when the population standard deviation is known and the population distribution is approximately normal or the sample size is sufficiently large (n ≥ 30).
When to use the one mean z-test for a sample of moderate size (between 15 and 30).
The one mean z-test is used to compare the sample mean to a known population mean when the population standard deviation is known.
we can use this test for a sample of moderate size (between 15 and 30) under the following conditions:
The population is normally distributed, or the sample size is large enough (usually greater than 30) for the Central Limit Theorem to apply.
However, since your sample size is between 15 and 30, it is crucial that the population is normally distributed.
The population standard deviation is known.
This is essential for calculating the z-score.
The sample is random and independent, meaning each observation in the sample is unrelated to the others.
If these conditions are met, we can use the one mean z-test for a sample of moderate size (between 15 and 30) to test hypotheses about the population mean.
The test will allow you to determine if there is a significant difference between the sample mean and the known population mean.
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Use the figure below to complete the following problem.Given:R, S, T are midpoints of AC, AB, and CB.RS =½CB½RT½AB
The answer is 1/2 CB , because CB is the segment parallel to RS. And since the midpoints are joined it must be half
Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is 4/3 the height and 4/3 the diameter of the small cone. Which of these could be the amount of water the large cone holds?
Amount of water contained in the cone shaped large cup will be given by Option (B). 14 oz
Volume of a cone:Volume of a cone is given by the expression,
V = \(\frac{1}{3}\pi(r)^2h\)
Here, r = radius of the circular base of the cone
h = Height of the cone
Let the height of the small cone = h cm
And the radius of the small cone = r cm
Therefore, volume of the small cone = \(\frac{1}{3}\pi(r)^2h\)
Radius of the large cone = \((\frac{4}{3}r)\) = \(\frac{4}{3}r\)
Height of the large cone = \(\frac{4}{3}h\)
Volume of the large cone = \(\frac{1}{3}(\pi)(\frac{4}{3}r )^2(\frac{4}{3} h)\)
= \(\frac{1}{3}(\pi )(\frac{16}{9}r^2 )(\frac{4}{3}h )\)
= \(\frac{1}{3}(\frac{64}{27})(\pi r^2h)\)
= \((\frac{64}{27})(\frac{1}{3} \pi r^2h)\)
= (64/27)×(Volume of the small cone)
Since, volume of the small cone = amount of water in the cuo
= 6 oz
Therefore, amount of water contained in large cone = \(\frac{64}{27}\times 6\)
= 14.22 oz
≈ 14 oz
Hence water in the large cone will be Option (2). 14 oz
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Please fully explain how you got to the answer8) Water is falling on a surface, wetting a circular area that is expanding at a rate of 10 mm2/s. How fast is the radius of the wetted area expanding when the radius is 146 mm?
When the radius is 146 mm, the radius of the wetted area is expanding at a rate of approximately 0.0109 mm/s.
To find how fast the radius is expanding, we can use the given rate of the area expansion and relate it to the radius using the area formula for a circle, A = πr².
Given: dA/dt = 10 mm²/s
We want to find: dr/dt (when r = 146 mm)
First, differentiate the area formula with respect to time t:
dA/dt = d(πr²)/dt
dA/dt = 2πr * dr/dt
Now, plug in the given values:
10 = 2π(146) * dr/dt
Next, solve for dr/dt:
dr/dt = 10 / (2π * 146)
Finally, calculate the value:
dr/dt ≈ 0.0109 mm/s
So, when the radius is 146 mm, the radius of the wetted area is expanding at a rate of approximately 0.0109 mm/s.
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according to chebyshev's theorem, at least what percent of any set of observations will be within 1.8 standard deviations of the mean? (round your answer to the nearest whole percent.)
According to Chebyshev's theorem, at least 69 percent of any set of observations will be within 1.8 standard deviations of the mean.
Standard deviations of the mean = 1.8 s
According to Chebyshev's theorem at least (1 - 1/k^2)×100% observations will lie within k standard deviation from the mean.
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/(1.8)^2)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/3.24)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 0.31)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 0.69 × 100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 69%
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If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)
let f be the function given by fx)=3e^2x and let g be the function given by g(x)=6x^3, at what value of x do the graphs of f and g have parrallel tangent lines?
The graphs of the functions f(x) = 3e^(2x) and g(x) = 6x^3 have parallel tangent lines when their derivatives are equal. By taking the derivatives of f(x) and g(x) and setting them equal to each other, we can solve for the value of x at which this occurs.
To find the derivative of f(x), we apply the chain rule. The derivative of e⁽²ˣ⁾is 2e⁽²ˣ⁾, and multiplying it by the constant 3 gives us the derivative of f(x) as 6e⁽²ˣ⁾. For g(x), the derivative is obtained by applying the power rule, resulting in g'(x) = 18x².
To find the value of x at which the tangent lines are parallel, we equate the derivatives: 6e⁽²ˣ⁾ = 18x². Simplifying this equation, we divide both sides by 6 to obtain e⁽²ˣ⁾ = 3x². Taking the natural logarithm (ln) of both sides, we have 2x = ln(3x²).
Further simplifying, we get 2x = ln(3) + 2ln(x). Rearranging the terms, we have 2ln(x) - 2x = ln(3). This equation does not have a straightforward algebraic solution, so we would typically use numerical or graphical methods to approximate the value of x.
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help brainiest if right
Answer:
h = 15 ft
Step-by-step explanation:
the line from the vertex to the base is a perpendicular bisector.
then the radius r = 16 ÷ 2 = 8
using Pythagoras' identity in the right triangle formed
with hypotenuse = 17 and legs h and 8 , then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take square root of both sides )
h = \(\sqrt{225}\) = 15
Find the area and perimeter of the rectangle based on information given Length = 5 Width = x + 2
Given the length and the expression that represents the width of a rectangle, you need to remember that:
• The area of a rectangle can be calculated by multiplying its dimensions:
\(A=lw\)Where "l" is the length and "w" is the width.
• The perimeter of a rectangle is:
\(P=2l+2w\)Where "l" is the length and "w" is the width.
Then, knowing that:
\(\begin{gathered} l=5 \\ w=x+2 \end{gathered}\)- You can set up that the area of this rectangle is:
\(A=5(x+2)\)Simplifying, you get:
\(\begin{gathered} A=(5)(x)+(5)(2) \\ A=5x+10 \end{gathered}\)- And the perimeter is:
\(\begin{gathered} P=(2)(5)+(2)(x+2) \\ P=10+2x+4 \\ P=2x+14 \end{gathered}\)Hence, the answer is:
- The area is:
\(A=5x+10\)- The perimeter is:
\(P=2x+14\)the entries in a certain row of pascal's triangle are \[1,n,\ldots,n,1\]the average of the entries in this row is $2048$. find $n$.
If the Pascal's triangle row entries are 1,n,...,n,1 and the average is 2048 , then the value of n is 15 .
Let the number of entries in the row is = n + 1 .
Since the average of the entries is 2048,
So , the sum of the entries is = 2048 × (n + 1).
We know that the sum of the entries in a row of Pascal's Triangle is equal to 2ⁿ, so we have the equation as :
⇒ 2048 × (n + 1) = 2ⁿ ;
On simplifying ,
we get ;
⇒ n = -0.99975 and n = 15 .
Since the "n" cannot be in negative .So , n = 15 .
Therefore , the value of n is the pascal's triangle is 15 .
The given question is incomplete , the complete question is
The entries in a certain row of Pascal's Triangle are 1,n,...,n,1 the average of the entries in this row is 2048. find n .
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Click the picture :)
This is technically Algebra but it’s okay.
13 is different from 14,15 & 16. Feel free to answer them all! Thanks and Happy Valentine’s day!
Functions are used to represent equations and graphs
The superhero will be able to leap over the buildingThe support should be placed 48 feet from the edgeJoe will not be able to stand up in the iglooJoe will be able to lay down in the iglooQuestion 13: How to determine if the superhero will make it to the building
The function is given as:
\(f(x) = -16x^2 + 200x\)
Differentiate the function
\(f'(x) = -32x + 200\)
Set to 0
\(-32x + 200 =0\)
So, we have:
\(-32x =-200\)
Solve for x
\(x =6.25\)
Calculate f(6.25)
\(f(x) = -16x^2 + 200x\)
\(f(6.25) = -16 * 6.25^2 + 200 * 6.25\)
\(f(6.25) = 625\)
The above means that, the superhero reached a height of 625 feet.
625 is greater than 612.
Hence, the superhero will be able to leap over the building
Question 14: How to determine the distance from the edgeThe function is given as:
\(f(x) = -0.03x^2 + 2.4x\)
Differentiate
\(f'(x) = -0.06x + 2.4\)
Set to 0
\(-0.06x + 2.4 = 0\)
Subtract 2.4 from both sides
\(-0.06x = -2.4\)
Solve for x
\(x = 40\)
Calculate f(40)
\(f(x) = -0.03x^2 + 2.4x\)
\(f(40) = -0.03*40^2 + 2.4*40\)
\(f(40) = 48\)
This means that, the support should be placed 48 feet from the edge
Question 15: Will Joe be able to stand up?In (14), the maximum height is 48 feet.
Joe's height (70 feet) is greater than 48.
This means that, Joe will not be able to stand up in the igloo
Question 15: Will Joe be able to lay down?In (14), the midpoint is 40 feet.
This means that the length of the igloo is 80 feet (i.e. 2 * 40 feet)
Joe's height (70 feet) is less than 80.
This means that, Joe will be able to lay down in the igloo
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Can someone help me on this plzzz??
Answer:
add to elimanate y.
Step-by-step explanation:
What is the variable for For the equation 2n - 3 = 7
Answer: n= 5
Step-by-step explanation: