Answer:
108
Step-by-step explanation:
12/3=4x4x7-9=103+5=108
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the same number, 12.
Answer: See attached table
Step-by-step explanation:
\(\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}\)+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
Proofs:
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12
for each of the improper integrals below, if the comparison test applies, enter either a or b followed by one letter from c to k that best applies, and if the comparison test does not apply, enter only l. for example, one possible answer is bf, and another one is l. hint: for .
The comparison test applies, so the improper integral converges because the integrand\((e^(-x^2))\) is smaller than the comparison function (x^-2)
The comparison test is applied to determine the convergence of an improper integral. To use the comparison test, a comparison function is found that is greater than or equal to the integrand, or a comparison function is found that is less than or equal to the integrand. In this case, the comparison function x^-2 is greater than the integrand e^(-x^2). The comparison function is then integrated to find its value and compare it to the integral of the integrand. Since the integral of the comparison function x^-2 is finite, while the integral of the integrand e^(-x^2) is infinite, the comparison test concludes that the improper integral converges.The integral of the comparison function x^-2 is equal to 1/x. Since the integral from 0 to infinity of 1/x is finite (equal to 1), the comparison test shows that the improper integral ∫0∞ e^(-x^2) dx converges.
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Write the equation in slope-intercept form. -5x+15y=-30
-please help before 12:00-
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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If X is a normal random variable that has mean mu = 20 and standard deviation sigma = 2, the standardized value of X = 16 is
Answer:
The standardized value is -2
Step-by-step explanation:
Given
\(mu = 20\) -- mean
\(\sigma = 2\) --- standard deviation
Required
Determine the standardized value of X = 16
The standardized value (S) is calculated using:
\(S = \frac{X - mu}{\sigma}\)
This gives:
\(S = \frac{16 - 20}{2}\)
\(S = \frac{- 4}{2}\)
\(S = -2\)
The standardized value is -2
Helpppppppp meeeeeeee plsssss
Answer:
....................................
Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x − 2)(x − 1)(x − 4). The graph starts at the top left, continues down through the x axis at 1 to a minimum around y equals negative one half, goes back up through the x axis at 2 to a maximum around y equals 2, and goes back down through the x axis at negative 4. The graph starts at the bottom left, continues up through the x axis at negative 4 to a maximum at y equals 2, goes back down through the x axis at negative 2 to a minimum around y equals one half, and goes back up through the x axis at negative 1. The graph starts at the top left, continues down through the x axis at negative 4 to a minimum around y equals negative 2, goes back up through the x axis at negative 2 to a maximum around y equals one half, and goes back down through the x axis at negative 1. The graph starts at the bottom left, continues up through the x axis at 1 to a maximum around y equals one half, goes back down through the x axis at 2 to a minimum at y equals negative 2, and goes back up through the x axis at 4.
The correct statement regarding the graph of the function f(x) = (x - 2)(x - 1)(x - 4) is given as follows:
The graph starts at the bottom left, continues up through the x axis at 1 to a maximum around y equals one half, goes back down through the x axis at 2 to a minimum at y equals negative 2, and goes back up through the x axis at 4.
How to obtain the graph of the function?The function is defined as follows:
f(x) = (x - 2)(x - 1)(x - 4).
Considering the linear factors of the function, the values of x through which the function intercepts the x-axis are given as follows:
x - 2 = 0 -> x = 2.x - 1 = 0 -> x = 1.x - 4 = 0 -> x = 4.The end behavior of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.
As the function has three zeros with multiplicity one, it is a cube function, hence:
The graph starts at the bottom left, when x -> -∞, as (-∞)³ = -∞.The graph ends at the top right, when x -> ∞, as (∞)³ = ∞.More can be learned about the end behavior of a function at brainly.com/question/1365136
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estimate the number of drinks that a 140lb person would have to drink in order to be considered intoxicated.
Answer: 3.5 drinks
Step-by-step explanation:
If you follow the graph and go over to 140 pounds
and go up to where the line goes through the 140 line
it lands on 3.5
If you wanted to make $1071 by investing $4176 for 4 years in an account that pays simple interest, what interest rate you would need to achieve your goal?
The interest rate should be 6.4116% to achieve the required goal.
What is simple interest?
The daily interest rate, the principal, and the number of days between payments are multiplied to determine simple interest. Consumers who pay their loans off on time or ahead of schedule each month benefit from simple interest. Simple-interest loans are frequently used for auto loans and short-term personal loans.
Given data:
A = 4176 + 1071 = $5247
t = 4 years
P = $4176
r = ?
By using the formula,
A = P(1 + rt)
r = (1/4)((5247/4176) - 1)
= 0.06411638
r = 0.06411638
Converting r decimal to R a percentage
R = 0.06411638 * 100
= 6.4116% per year
Hence, the interest rate should be 6.4116% to achieve the required goal.
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it is important to detect a mean difference in score of one point with a probability of at least 0.90 g
If it is important to detect a mean difference in score of one point with the probability of at least 0.90 , then the number of pairs that should be used is 10 .
It is given that ,
the probability is at least 0.90 ,
So , in the paired t test ,
testing mean paired difference is = 0
alpha = 0.05 , the assumed standard deviation of paired difference = 0.441
So the output is
Difference = 1 , Size = 5 power(probability) = 0.90 ,
So , the actual probability is = 0.95190
From the output above , the required sample size is n = 5 .
We observe that , under the given conditions the sample size is = 5 .
but the researcher considered 10 pairs ,
So , the sample size 10 is used for this study .
Therefore , 10 pairs should be used .
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The given question is incomplete ,the complete question is
It is important to detect a mean difference in score of one point with a probability of at least 0.90. how many pairs should have been used ?
the terminal side of 0 passes through the point (8,-7) what is the exact value of cos 0 in simplified form
Answer: \(\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\\)
=================================================
Work Shown:
x^2+y^2 = r^2
(8)^2+(-7)^2 = r^2
113 = r^2
r = sqrt(113)
The distance from (0,0) to (8,-7) is exactly sqrt(113) units.
This is the exact length of the hypotenuse of the right triangle.
Next, we do the following steps:
\(\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{x}{r}\\\\\cos(\theta) = \frac{8}{\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113}*\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113*113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113^2}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\\)
Side note: cosine is positive in quadrant Q4.
5.
a.
A study conducted at a school showed that the batteries used by calculators lasted an average of 101 days with a margin of error of ‡9 %.
What is the minimum average number of days a teacher can expect to have the batteries last in her classroom?
b.
There are roughly 279 days from the first day of school until the last day of school, the teacher has 24
TI-84 calculators and each one requires 4 triple A batteries. If the teacher can buy triple A batteries wholesale at 52 cents a battery, how much do you think she will need to spend at most on batteries for calculators over the year?
a. The teacher can expect the batteries to last at least 92.09 days on minimum average.
b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.
What is minimum average day?
a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:
Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)
Therefore, the teacher can expect the batteries to last at least 92.09 days on average.
What is spend ?
b. The total number of batteries required for the 24 TI-84 calculators is:
24 calculators x 4 batteries per calculator = 96 batteries
The total cost of the batteries will be:
96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)
Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.
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Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
Choose all options that apply . Which of the following are steps necessary to ensure patient safety ? a) Make sure that the medication is dispensed in the same units in which it was prescribed. b ) Review any calculation questions with the pharmacist . Check to see if there's a better medication for the patient's problem. d) Dispense an extra dose to save the patient from having to return in case of loss or damage to one of the doses. Oe ) Compare the label on the medication with the order from the physician .
what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
which of the following satisfies 3x+1=4 (mod 9) ?
Got it. Hope this will help.
The value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following equation -
3x + 1 = 4|9|
We have -
3x + 1 = 4|9|
3x + 1 = 4 × 9
3x + 1 = 36
3x = 35
x = 11.67
Therefore, the value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.
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explain it i’m so confused
Answer: 2.4A because of the wire length
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,-1), R(-3,6), S(1,5), and T(2,-2) HELP PLS
Answer:
(-0.5, 2)Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
Intersection point is the midpoint of either diagonal.
Let's take QS and calculate midpoint using midpoint formula:
Q(-2, -1), S(1, 5)x = (x1 + x2)/2 = (-2 + 1)/2 = -1/2 = -0.5y = (y1 + y2)/2 = (-1 + 5)/2 = 4/2 = 2Point (-0.5, 2) is the answer
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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Change 0.436 to a percent fraction form
Answer: 109/250
Step-by-step explanation:
Yo go to a your web browser, and search it up
Which of the binomials below is a factor of this trinomial?
x^2 + 14x + 40
A. x + 4
B. x^2 + 4
C. x + 10
D. x - 9
Answer:
A , C
Step-by-step explanation:
x² + 14x + 40 = ( x + 4 )( x + 10 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4x + 3
Step-by-step explanation:
Three more means you're adding three to the number. So, you have + 3 right now. Four times the number of shells Talia collects is 4x with x representing Talia's shells. We don't know how many she has so it's represented by x. Now, put everything we have together. 4x + 3.
Hope this helps! :)
B. Select the TABLE tab. For each value of x, how doyou calculate the value of y?
hello
the values for slope is given as 3.0
slope is represented as m in an equation of a straight line
y = mx + c
now the question given is y = mx
input the value of m in the equation
m
Solve 7x - 8(2x - 3) + 2 = 8 *
Answer:
Step-by-step explanation:
7x - 8(2x - 3) + 2 = 8
Expand bracket and Minus 2 on both sides
7x - 16x + 24 = 6
Minus 24 on both sides, and simplify the "x's"
-9x = -18
Divide by -9 on both sides
x = 2
A shoe store uses a %60 markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $51?
Answer:
81.60 is your selling price
Step-by-step explanation:
60% = 0.60
0.60 x 51 = 30.60
51 + 30.60 = 81.60
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Write an algebraic expression for the product of a number and 10.
Thanks!
Answer:
(x · 10) = 30
* you could also use 10x *
Step-by-step explanation:
in this equation, x would be 3 !
lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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a skateboard is 15 dollars and you have a a 50 discount what is the tatol savings
Answer: $7.50 Off
Step-by-step explanation: To find the total amount of savings for a $15 skateboard that has a 50% discount, you‘ll have to simply divide $15 by 2 because 2 represents 50% or half of $15. This will give you a final answer or result of $7.50 off for a $15 skateboard.