Answer:
c
Step-by-step explanation:
\(\sqrt{50x^{2}y^{7}z^{8}} = \sqrt{2*5^{2}x^{2} y^{2}y^{2}y^{2}*y*z^{2} z^{2} z^{2} z^{2} }=5xy^{3}z^{4}\sqrt{2y}\)
Answer:
Step-by-step explanation:
Take all perfect squares out from under the radical sign
(50x^2y^7z^8)^(1/2)
(2(25)x^2yy^6z^8)^(1/2)
5xy^3z^4(2y)^(1/2) so C is the answer
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
Simplify: 2cd3(c − d + 5)
A) 2c2d3 − 2cd4 + 10cd3
B) 2cd3 − 2cd3 + 10cd3
C) 2c2d3 − 2c2d4 + 10cd2
D) 2cd3 − 2c2d4 + 10c2d3
Answer:
A)
Step-by-step explanation:
I used an Algebra app :) it is correct.
Use differentials to determine the approximate change in the value of tan(s4)tan(s4) as its argument changes from ππ to π−25π−25. What is the approximate value of the function after the change.
Solution
The change in argument of the function is
Approximate change in the value of tan(s4)tan(s4) as its argument changes from ππ to π−25π−25 is
Approximate value of the function after the change is
n argument of the function is Approximate change in the value of tan(s4) as its argument changes from π to π−25 is Approximate value of the function after the change is
The approximate change in the value of tan(s4) as its argument changes from π to π-25 is approximately -2.342. The approximate value of the function after the change is approximately 0.590.
To determine the approximate change in the value of tan(s4) as its argument changes, we can use differentials. The differential of the function tan(x) is given by dx, where dx represents a small change in the argument.
The change in argument of the function is π-25 - π = -25.
Using the differential approximation, we can calculate the approximate change in the value of tan(s4) as its argument changes: Δy ≈ f'(x) * Δx. Since f(x) = tan(x), f'(x) = sec^2(x). Evaluating at x = π, we have f'(π) = sec^2(π) = 1.
Substituting the values into the differential approximation, Δy ≈ 1 * (-25) = -25.
Therefore, the approximate change in the value of tan(s4) as its argument changes from π to π-25 is approximately -25.
To find the approximate value of the function after the change, we can evaluate tan(s4) at the new argument π-25.
Using a calculator or trigonometric table, we find that tan(π-25) ≈ 0.590.
Hence, the approximate value of the function after the change is approximately 0.590.
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What is the probability that 5 hearts are chosen, if 7 cards are chosen from a well-shuffled deck of 52 playing cards?
a) 0.00000049
b) 0.00000026
c) 0.00712838
d) 0.00000962
e) 0.00000016
f) None of the above.
The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.
Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.
Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).
Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).
Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.
Therefore, the correct answer is option (d) 0.00000962.
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The velocity of a ball thrown upward into the air is given by v(t)= -32t+96 where t is measured in seconds and velocity v in feet per second calculate the displacement of the ball between t=1 and t=4
Answer:
The displac ment between t = 1 and t = 4 is 272 feet
Step-by-step explanation:
To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.
We can do this by differentiating the velocity equation given:
v(t) = -32t +96
integrating between the limits of t = 1 and t = 4, we have
\(s = \int\limits^4_1 {-32t +96} \, dt\)
\(s(t) = -32t^2/2 +96t\)
\(s =[ -16t^2 +96t] t = 4, t =1\)
where t = 4.
s = 256 + (96) =352 feet
Where t = 1
s = 80
Displacement of the ball = 352 -80 = 272ft
The displac ment between t = 1 and t = 4 is 272 feet
PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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Standardizing makes the following change(s) to a distribution:
I. Shifts the distribution by subtracting the mean.
II. Rescales the distribution by dividing by the standard deviation.
III. Changes the skewness or symmetry of the distribution.
IV. Creates outliers.
The correct answer is II. Rescales the distribution by dividing by the standard deviation. This transformation does not change the shape or skewness of the distribution and does not create outliers.
How does standardizing a distribution affect the mean and standard deviation ?Standardizing a distribution means converting it into a standard normal distribution with a mean of 0 and a standard deviation of 1.
This is achieved by subtracting the mean from each value and then dividing by the standard deviation.
Standardizing does not shift the distribution, change its skewness or symmetry, or create outliers.
Standardizing a distribution involves transforming the original data so that it has a mean of 0 and a standard deviation of 1.
This transformation is useful because it allows for comparisons between variables that may be measured on different scales, and it simplifies the interpretation of statistical results.
Standardizing does not change the shape or skewness of the distribution, nor does it create outliers.
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Margo can make 75 smoothies in 1.5 hours. How
many smoothies can Margo make in one hour?
Answer: 50 smoothies in one hour
Step-by-step explanation:
1.5 / 3 = 0.5
75 / 3 = 25.
0.5 x 2 = 1.
25 x 2 = 50.
Margo can make 50 smoothies in One hour.
Hope this helps!
Answer:
Margo can make 50 smoothies in one hour.
Step-by-step explanation:
Let's look at the hours first. Margo can make 75 smoothies in 1.5 hours. 1.5 divided by 3 is 0.5. Then, 0.5 x 2 is 1. Now that we have the number of hours we need (1 hour), we have to do the exact same thing to the amount of smoothies.
75 divided by 3 is 25. Then, 25 x 2 is 50 smoothies.
So, Margo can make 50 smoothies in one hour.
Hope this helped!
greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
Letf(x, y) = 2ex − y.Find the equation for the tangent plane to the graph of f at the point
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.
The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.
Let's calculate these partial derivatives:
fₓ = d/dx(2e^x - y) = 2e^x
fᵧ = d/dy(2e^x - y) = -1
Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.
At the point (a, b), the equation for the tangent plane is given by:
z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)
Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:
z - f(a, b) = 2e^a(x - a) - (y - b)
Now, let's substitute f(a, b) = 2e^a - b:
z - (2e^a - b) = 2e^a(x - a) - (y - b)
Rearranging and simplifying:
z = 2e^a(x - a) - (y - b) + 2e^a - b
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.
This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
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Write the sum in expanded form: 1)6 Σ 1 / i + 1 i=1 2) 6 Σ i3 i=4 3) n Σ f(xi)Δxi i=1
The sum in expanded form is 6 Σ (1 / i + 1) as i ranges from 1 to 6, the sum in expanded form is 6 Σ (i^3) as i ranges from 4 to 6. the sum in expanded form is n Σ (f(xi) * Δxi) as i ranges from 1 to n.
The sum 6 Σ (1 / i + 1) as i ranges from 1 to 6 can be expanded as: (1/1 + 1) + (1/2 + 1) + (1/3 + 1) + (1/4 + 1) + (1/5 + 1) + (1/6 + 1), The sum 6 Σ (i^3) as i ranges from 4 to 6 can be expanded as: 4^3 + 5^3 + 6^3.
The sum n Σ (f(xi) * Δxi) as i ranges from 1 to n represents a Riemann sum, where f(xi) represents the value of a function at a particular point xi, and Δxi represents the width of the interval.
To expand this sum, you would need specific values for n, f(xi), and Δxi. For example, if n = 4, the expanded form would look like: f(x1) * Δx1 + f(x2) * Δx2 + f(x3) * Δx3 + f(x4) * Δx4
The expansion of the sum depends on the specific values and the nature of the function being evaluated.
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*
Convert 315º to radians:
Answer:
degrees ⋅(π radians /180 degrees )
the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.
315 degrees ⋅(π radians /180 degrees )
315 and 180 are both divisible by 45 , so.
74⋅π radians = 74π radians.
If 2/3 of a mini pizza cost $2. 40, what would 1/2 of a mini pizza cost?
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
1/2 of a mini pizza would cost $0.60.
If 2/3 of a mini pizza cost $2.40, then 1/3 of a mini pizza would cost half of that:
1/3 of a mini pizza = 1/2 * $2.40 = $1.20
To find the cost of 1/2 of a mini pizza, we can divide the cost of 1/3 of a mini pizza by 2:
1/2 of a mini pizza = 1/2 * $1.20 = $0.60
Therefore, 1/2 of a mini pizza would cost $0.60.
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how many four letter strings can be formed from the letters a,b,c,d,e if the first letter must be a vowel and the last letter must be a consonant?
Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.
As given in the question,
Given letters are a, b, c, d, e has
Number of vowel = 2
Number of consonant= 3
Number of letter strings to be formed = 4
Condition:
First letter must be vowel
Last letter must be consonant
First place filled in 2 ways
Second and Third place filled in 5ways
Last place filled in 3 ways
Total number of ways to form four letters strings
= 2 × 5 × 5 × 3
= 150
Therefore, number of ways to form four letter string is 150 ways.
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What are not exponential functions?.
It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.
Non-exponential form:
To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.
Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.
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PLEASE HELP FAST Rewrite
y = x/5 - 6 in a general form! I’ll give brainlist look at the picture!
Answer:
it's C. :)) u wanna explanation??
Use the functions to answer the question.
f(x) = -4x + 5
g(x) = x² + 2
Find f(-5).
O 50
0 25
0 -40
0 – 15
Answer:
25
Step-by-step explanation:
What is the sum of 9 of the interior angles of a regular dodecagon?
Answer:
1350 degrees
Step-by-step explanation:
Using the formula (n-2)180, we can find out that the sum of all the angles of a dodecagon is 1800 degrees. We then divide that number by 12 to find the angle measure of one angle, giving us 150 degrees. To find the sum of 9 of them, multiply 150 with 9, giving up 1350 degrees. Hope this helped!
B
5
E
If G is the midpoint of AB, classify each triangle by its
ANGLES and SIDES.
A. ACFE
B. ABEC
C. ABFG
D. AGAF
Answer:
ΔCFE is a right triangle
ΔBEC is an acute triangle
ΔBFG is an equilateral triangle
ΔGAF is an obtuse isosceles triangle
Write an equation for each description. " Seven times the difference of a number and 8 increase by 2 is equal to 36".
Step-by-step explanation:
Variable n = number
7(n - 8) + 2 = 36
How can you use angle measures to prove that lines are parallel?
Answer:
Step-by-step explanation:
The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.
SECTION B
Solve the question below and show workings wherever possible.
1. From this equation:
5x25- 3x32 + 2x12 , find:
a. How many terms are there?
b. The coefficient of the second term c. The expression or result of the equation at x=1
2. Solve the equation below given the value of g= 5:
9g/3 + 6
the answer for #2 is 21
9(5/3)+6
15+6
21
A newsvendor orders the quantity that maximizes expected profit for two products, x and y. The critical ratio for both products is 0. 8. The demand forecast for both products is 9,000 units and both are normally distributed. Product x has more uncertain demand in the sense that it has the larger standard deviation. Of which of the two products does the newsvendor order more?.
Of the two products the newsvendor order more quantity for X is more than the quantity ordered for Y.
Cr = 0.8 which is the critical ratio for both the products
The value of Z corresponding to the critical ratio of 0.8 from the standard normal distribution tables is 0.8416
Unless the quantity ordered by the newsvendor is Q, then
Q = mean value of demand + Z x standard deviation of demand
Below are the specifications of the two products:
The mean requirement for both X and Y is 900O units.
Z value for both X and Y = 0.8416
Let,
Sd₁ Demand Standard Deviation for Product X
Sd₂ = Demand Standard Deviation for Product Y
Assuming that (Product X does have a higher standard deviation than Product Y),
quantities for X = mean value of demand + Z x standard deviation of demand
9000 + 0.8416Sd₁
Order amount for Y = mean value of demand + Z x standard deviation of demand
9000 + 0.8416Sd₂
because
X₁ > X₂
As a result,
9000 + 0.8416Sd₁ > 9000 + 0.8416Sd₂
The quantity ordered for X is > the quantity ordered for Y.
Therefore, The quantity ordered for X is more than the quantity ordered for Y. As a result, Newsvendor orders Product X more frequently because it has a higher level of uncertainty.
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What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4
(-6, 14) and (2, -18)
To Find:The slope of the line that passes through the point.
Slope Formula:y2 - y1 / x2 - x1
Solution:-18 - 14 / 2 + 6
= -32 / 8
= -4
Answer:Option D. -4
8) Simplify.
5(3x – 3) + 4(6x - 12)
Answer:
39x - 63
Step-by-step explanation:
5(3x - 3) + 4(6x - 12) ← distribute both parenthesis
= 15x - 15 + 24x - 48 ← collect like terms
= 39x - 63
Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
Solve each quadratic equation by completing the square. 2x² + 2x - 5 = x² .
The solutions to the quadratic equation 2x² + 2x - 5 = x², obtained by completing the square, are:
x = -1 + √6 and x = -1 - √6.
To solve the quadratic equation 2x² + 2x - 5 = x² by completing the square, we need to rearrange the equation and manipulate it to a perfect square trinomial form.
Let's begin by subtracting x² from both sides of the equation to bring all the terms to one side:
2x² + 2x - 5 - x² = 0
This simplifies to:
x² + 2x - 5 = 0
To complete the square, we need to add a constant term to both sides of the equation. The constant term is calculated by taking half of the coefficient of the x-term (2) and squaring it:
x² + 2x + (2/2)² - (2/2)² - 5 = 0
This can be rewritten as:
x² + 2x + 1 - 1 - 5 = 0
Now, let's simplify this expression:
(x + 1)² - 6 = 0
Next, we can move the constant term (-6) to the other side by adding 6 to both sides:
(x + 1)² = 6
To isolate the squared term (x + 1)², we take the square root of both sides, considering both positive and negative roots:
x + 1 = ±√6
Subtracting 1 from both sides, we get two separate equations:
x = -1 ±√6
Therefore, the solutions to the quadratic equation 2x² + 2x - 5 = x², obtained by completing the square, are:
x = -1 + √6 and x = -1 - √6.
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Find the missing measurement. Round your answer to the nearest tenth. *
Answer:
C) 2.5
Step-by-step explanation:
8.8=x*3.5
divide 3.5 on both sides.
1.) what is meant by the reliability of a measure? distinguish between true score and measurement error.
Reliability refers to the consistency or stability of a measure over time or across different raters or conditions. The true score and measurement error differs in consistency.
A measure is considered reliable if it produces consistent and accurate results. In other words, if the same measure is taken multiple times, it should yield similar results.
True score is the score that a person would receive if the measure was completely error-free and measured the construct perfectly. However, in reality, all measures have some degree of measurement error, which is the degree to which the obtained score differs from the true score due to factors such as random variation, observer bias, or test-taker factors.
To distinguish between true score and measurement error, imagine a target with a bull's eye at the center. The true score is the score that hits the bull's eye, indicating that the measure accurately captures the construct being measured.
Measurement error, on the other hand, is the deviation from the bull's eye caused by factors such as inconsistency, bias, or noise in the measurement process.
There are different types of reliability measures that aim to estimate the degree to which measurement error affects the scores obtained from a measure. Some of the most common types of reliability measures include test-retest reliability, inter-rater reliability, and internal consistency reliability.
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what is not a factor of the utilitarian hedonistic calculus?
The utilitarian hedonistic calculus is a system that attempts to determine the morality of an action based on its overall utility and the resulting pleasure or happiness it produces. The factors that are considered in this calculus include the intensity, duration, certainty or uncertainty, propinquity or remoteness, fecundity, purity, and extent of the pleasure or pain that will result from the action.
However, there is one factor that is not considered in the utilitarian hedonistic calculus, and that is the individuality of the persons involved. This means that the calculus does not take into account the unique qualities, desires, and preferences of the individuals affected by the action. Instead, it treats them all as if they were interchangeable and equally capable of experiencing pleasure or pain.
This lack of consideration for individuality has been criticized as a weakness of the utilitarian hedonistic calculus, as it can lead to outcomes that are unfair or unjust. For example, the calculus might suggest that it is acceptable to sacrifice the happiness of a minority group for the greater good of the majority, even if this violates their rights and dignity as individuals.
In summary, the utilitarian hedonistic calculus does not factor in individuality as a consideration in determining the morality of an action.
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