9514 1404 393
Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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Question attached below! HELP!
The bricks need to have the following angles to fit the garden: angle A = 160, angle B = 158, angle C = 120, angle D = 156, angle E = 31, angle F = 111.
What is the sum of angle of a polygon?A polygon's inner angle sum has a fixed value at all times. The sum of the internal angles of a polygon is constant regardless of its regularity. As a result, the following formula can be used to determine the polygon's total internal angles:
180 (n-2) degrees is the sum of a polygon's interior angles.
The number of sides are 6 in the given polygon.
The sum of angle of a polygon is given by:
(n - 2) 180 degrees.
For 6 sided polygon, the sum of angles is:
(6 - 2)180 = 720 degrees
For all the angles we have:
7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
28x + 48 = 720
28x = 672
x = 24
The bricks need to have the following angles to fit the garden:
angle A = 7x - 8 = 7(24) - 8 = 160
angle B = 4x + 46 = 4(28) + 46 = 158
angle C = 5x = 5(24) = 120
angle D = 6x + 12 = 6(24) + 12 = 156
angle E = x + 7 = 24 + 7 = 31
angle F = 5x - 9 = 5(24) - 9 = 111
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Evaluate the Piecewise Function. Please Hurry
The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
what is piecewise function?
A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.
We have to evaluate the piecewise function for x = -1 and x = 9.
Let, function has value for x = -1 in the domain x ≤ 5 which is 11.
And function has value for x = 9 in the domain 6 < x which is 1.
⇒ f(-1) = 11 and f(9) = 1
Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
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x^4+2x^3-12x^2+14x-5 > 0
The value of x is (-∞, -5) ∪ (1, ∞).
Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),
Solving for x,
Factors =
\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)
Therefore,
\(\left(x-1\right)^3\left(x+5\right) > 0\)
\(x < -5\quad \mathrm{or}\quad \:x > 1\)
Hence the value of x is (-∞, -5) ∪ (1, ∞).
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what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
(a) John and Sandra we're building a sandcastle they decided to make it into a cone shape after sometime the diameter of the sand shaped cone was 12 in in the height with 7in what is the exact volume of the sand cone show your work (b) the boys kept adding sand and 10 minutes later the volume of the sand cone at increased by 30% what is the exact volume of the sand cone now show your work
a).volume of the cone is,
\(v=\frac{1}{3}\text{ }\Pi r^{2\text{ }}h\text{ }\)here ,radius,r=6in and height = 7in
on applying this in the above equation we get
\(v=\frac{1}{3}\ast3.14\ast6\ast6\ast7=263.89\text{ cubic units}\)b) volume is increased by 30%
30% of 263.89 =79.167
so the new volume = 79.167+263.89=343.057 cubic units
so the final aswer is =343.057 cubic units
an oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. assuming independence, what is that probability that the third strike comes on the seventh well drilled
Answer:
4.92% probability that the third strike comes on the seventh well drilled
Step-by-step explanation:
For each drill, there are only two possible outcomes. Either it is a strike, or it is not. Each drill is independent of other drills. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
20% chance of striking oil.
This means that \(p = 0.2\)
What is that probability that the third strike comes on the seventh well drilled
2 stikers during the first 6 drills(P(X = 2) when n = 6)\)
Strike during the 7th drill, with 0.2 probability. So
\(P = 0.2P(X = 2)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{6,2}.(0.2)^{2}.(0.8)^{4} = 0.2458\)
Then
\(P = 0.2P(X = 2) = 0.2*0.2458 = 0.0492\)
4.92% probability that the third strike comes on the seventh well drilled
Double the sum of x and 3
Which conditions are sufficient to prove that lines / and n are parallel?
Choose all that apply
DA 21225
B. m2 3+ m2 6 = 180
cm2 2 + m 2 6 = 180
OD 2224
DE 239 25
Om2 8+ m2 7 = 180
Answer:
b.
Step-by-step explanation:
If de is = to 2 then the direction of the axis will hit the sun on different spots
ASAP!!! Please help me solve
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 46 and 148
Answer:
99.7% of IQ scores are between 46 and 148.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 97, standard deviation of 17.
What percentage of IQ scores are between 46 and 148?
97 - 3*17 = 46
97 + 3*17 = 148
Within 3 standard deviations of the mean, so:
99.7% of IQ scores are between 46 and 148.
Show that angle a+ angle b is equal to angle d
sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
Below.
Step-by-step explanation:
a + b + c = 180 degrees (angles in a triangle)
c + d = 180 degrees ( adjacent angles).
So, subtracting the 2 equations:
a + b + c - c - d = 0
a + b - d = 0
a + b = d.
What is the answer?
Answer:
C
Step-by-step explanation:
Volume = 0.5 * Base * Height * Length
You have to multiply by 0.5 because it is a Triangular prism
base(b) = 4.1
Height (h) = 7.2
Length (l) = 3.5
Plug in the numbers to the equation below and you get 51.66
Hope this Helps! :)
Differentiate the equation to find the functions for
Velocity v= ds/dt
Differentiation from First Principles is a formal method for determining a tangent's gradient.
What is meant by differentiation?Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.
According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.
Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.
s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c
substituting the values t = 3, we get
s(-3) = (-cos(-3π))/π + c = 0
simplifying the above equation, we get
(-cos(3π))/π + c = 0
1/π + c = c
c = -1/π
Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.
The complete question is:
Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0
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Solve #19 and show explanation
The next equation will be 6²-4²=2×10.
Here, we have given three equations and we have to find out the next equation.
The first three equations are like this
1. 3²-1²=2×4
2. 4²-2²=2×6
3. 5²-3²=2×8
Now,
As from the equation
On the L.H.S. we can see that every time it is creating a sequence
Like, every time it is subtracting square value of the one’s from the another number’s square
Which is the value we got from adding 2 in first value.
And on the R.H.S.
We can say that every time 2 multiplies with the next even number than the previous one
So,
The last equation was 5²-3²=2×8
Therefore,
The next equation will be
6²-4²=2×10
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Which bottle of shampoo is at the right price 12oz 2.59 16 oz 3.19
Answer:
16 oz is cheaper...
Step-by-step explanation:
Answer:
I would say the second one
Step-by-step explanation:
With regard to financial terminology related to a home or other asset, the word
appreciate means to
a.
b.
grow in value
honor the terms and conditions of the loan agreement
pay off the mortgage or other debt
lose value due to the effects of inflation
C.
d.
Answer:
a. grow in value
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, account payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP) and financial accounting standards board (FASB).
This ultimately implies that, it involves specific processes such as recording, summarizing, analysis and reporting of financial transactions with respect to business operations over a specific period of time. Financial experts or accountant uses either the cash basis or accrual basis of accounting.
With regard to financial terminology related to a home or other asset, the word "appreciate" means to grow in value. Thus, an asset that appreciates simply means that it's growing in value over a specific period of time compared to it's initial value.
On the other hand, depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.
20)
The cost (C) of materials for a deck varies jointly with the width (w) and the length (1).
If c = $470.40 when w = 12 and 1 = 16, find the cost when w = 10 and I = 25? Be sure to respond in
complete sentence that explains your answer in relation to the question
Answer:
u mad bruv? xD Xd DxD XDXDXDdd
Step-by-step explanation:
In 2012 42.5 percent of full time students at public colleges received student loans if there were 1,766,400 full time students how many received lians
Answer:
the answer is 750,720 students received loans
What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?
The return on equity for the firm is 18.75%.
Return on equityReturn on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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Improving the quality of high-value decision making by an executive will save an organization far more money than improving the quality of lesser-value decisions made at a lower level.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
Since it is lesser, it will also bring in lesser profit :)
!!!!! Due today !!!!!!!
Answers:
5)
a.Highest- 96
Lowest-52
b.74
c. 70-80
d. 13
e. 7
6)
a. 89%
b. 51%
c. In the morning(89%)
The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical potential in a neuron v(t) obeys the differential equation dv dt = −v[v2 − (1 + a)v + a] where a is a positive constant such that 0 < a < 1. (a) For what values of v is v unchanging (that is, dv/dt = 0)? (Enter your answers as a comma-separated list.) v = (b) For what values of v is v increasing? (Enter your answer using interval notation.) (c) For what values of v is v decreasing? (Enter your answer using interval notation.)
The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.
What is electric impulse?The strength of the field is shown by the distance between the lines; the closer they are to one another, the stronger the field.
In this scenario, the field weakens as we travel away from the charge because the distance between the lines widens (it actually obeys an inverse square law,
The electric field, which is pointed away from the core charge, is indicated by the direction of the lines.
This is due to the fact that a positive test charge would be repelled away from the electric field if it were placed there because the direction of the electric field corresponds to the direction of the force that a positive test charge would experience when immersed in the electric field.
Hence, The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.
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What is 2 ÷
1
6
?
StartFraction 1 Over 12 EndFraction
2
6
12
Answer:
0.125
Step-by-step explanation:
I calculated 2 divided by 16, and got 0.125.
Answer:
12
Step-by-step explanation:
I got it right on edg
If y’all show y’all work and do all the questions I add extra extra points
Answer:
For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.
Step-by-step explanation:
5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)
6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.
7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.
8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.
9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6
Not sure if these are all correct, but I hope this helps :)!
What is the median of:
2, 8, 7, 8, 6, 15, 6, 8, 3
Answer:
7
Step-by-step explanation:
To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.
Answer: 7
Step-by-step explanation:
1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15
2. find the number in the middle = 7
Hope I helped, have an amazing day!!
Please explain How you got the Answer
Answer:
The radius is \( 2\sqrt{15} \)
The center is (3, 3)
Step-by-step explanation:
Equation of circle in standard form with center at (h, k) and radius r:
\( (x - h)^2 + (y - k)^2 = r^2 \)
We need to complete the square in x and y.
\( x^2 + y^2 - 6x - 6y = 42 \)
Separate x-terms and y-terms:
\( x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ \)
To complete the square, you square half of the linear term's coefficient.
Linear term in x: -6x
Coefficient: -6
Half of the coefficient: -3
Square half of the coefficient: 9
We need to add 9 to both sides to complete the square in x.
The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.
\( x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 \)
\( (x - 3)^2 + (y - 3)^2 = 60 \)
Now that we have the equation in standard form, we can get the radius and center of the circle.
\( r^2 = 60 \)
\( r = \sqrt{60} \)
\( r = \sqrt{4 \times 15} \)
\( r = 2\sqrt{15} \)
The radius is \( 2\sqrt{15} \)
The center is (3, 3)
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
Select the correct answer.
Which expression is equivalent to x + y + x + y + 3(y + 5)?
A. 2x + 5y +5
B. 2x + y + 30
C.2x + 5y + 15
D.2x + 3y + 10
Answer:
c
Step-by-step explanation:
(fractions 5th grade) 3/9 + 2/3
Answer:
1
Step-by-step explanation:
Simplify 3/9 by 3 -> 1/3
Now that both fractions have the same denominator, you can add them.
1/3 + 2/3 = 3/3 or 1