Answers
Answer:
D. All three functions have the same rate of change.
Step-by-step explanation:
1. For the function f(x):
at [tex]x=\pi,[/tex] [tex]f(\pi)=0;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]f\left(\dfrac{3\pi}{2}\right)=-4.[/tex]The rate of change is
[tex]\dfrac{f(\frac{3\pi}{2})-f(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
2. For the function g(x):
at [tex]x=\pi,[/tex] [tex]g(\pi)=0;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]g\left(\dfrac{3\pi}{2}\right)=-4.[/tex]The rate of change is
[tex]\dfrac{g(\frac{3\pi}{2})-g(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
3. For the function h(x):
at [tex]x=\pi,[/tex] [tex]h(\pi)=4\cdot \sin \pi+2=2;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]h\left(\dfrac{3\pi}{2}\right)=4\cdot \sin \frac{3\pi}{2}+2=-4+2=-2.[/tex]The rate of change is
[tex]\dfrac{h(\frac{3\pi}{2})-h(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-2-2}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
All three functions have the same rate of change.
Related Questions
Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. note: there are 12 inches in a foot. ex: print_total_inches(5, 8) prints: total inches: 68
Answers
Final answer:
The function print_total_inches is defined to calculate the total number of inches by converting feet to inches and adding any extra inches. It multiplies the number of feet by 12 (since there are 12 inches in a foot) and adds the number of inches to get the total.
Explanation:
To define the function print_total_inches, we need to convert both feet and inches to inches only, since there are 12 inches in a foot. For the parameters num_feet and num_inches, the total number of inches is given by the formula total_inches = num_feet * 12 + num_inches. Here's an example of how the Python function might look:
def print_total_inches(num_feet, num_inches):
total_inches = num_feet * 12 + num_inches
print('Total inches:', total_inches)
When you call print_total_inches(5, 8), it will output "Total inches: 68" because 5 feet is equivalent to 60 inches (5 x 12), and adding the additional 8 inches gives us a total of 68 inches.
The graphs of f(x) and g(x) are shown below:
PIC
What are the solutions to the equation f(x) = g(x)?
x = −3, 4
x = −3.8, −0.4
x = −3.8, 3
x = 6.5, −6
Answers
Answer:
-3.8, 3
Step-by-step explanation:
The solution to a system is where the graph cross each other. If you look to where they intersect to the left of the origin, where x is negative, it appears that they intersect ALMOST at -4, but not quite. So -3.8 is going to have to do since we don't have the equations of either graph to find the exact values of x. To the right of the origin, where x is positive, the graphs cross where x = 3..
Answer:
x = −3.8, 3
Step-by-step explanation:
The solutions to f(x) = g(x) are the x-coordinates of the points of intersection of their graphs. Those x-values appear to be about -3.8 and +3.
Which container Could logically have a capacity of 1000 L A kitchen sink B bathtub C measuring cup D hot tub
Answers
Answer:
D. Hot tub
Explanation:
1000 L is equal to about 246 gallons and even a deep bathtub couldn't hold that much water.
p.s. Loving your username
Based on the following set of data, which of the statements shown is true?
11, 11, 12, 13
A.) mean < median
B.) mean = median
C.) mean > median
Answers
C.) mean > median
Hope this helps chu
From the following set of data, statement C is true. Option C is correct.
How do you find the data's mean and median?The mean is the proportion of the total number of observations to the sum of the observations.
The median is a number for an organized data set (in ascending or descending order) that has the same number of observations on both sides.
11, 11, 12, 13
The mean of the data set is found as;
mean = (11+11+12+13)/4
mean=47/4
mean=11.75
The median of the data set is;
Arrange the numbers in the ascending order;
11, 11, 12, 13
median= (11+12)/2
median=11.5
mean > median
From the following set of data, statement C is true.
Hence, option C is correct.
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A.find X the figure is not drawn to scale
B. Is the triangle equilateral isosceles or scalene? Explain
GIVING BRAINLIEST (image attached)
Answers
Answer:
A. 15
B. Scalene
Step-by-step explanation:
8x-10+6x+10x+10=360
24x=360
x=15
8x-10
8(15)-10=110
6x
6(15)=90
10x+10
10(15)+10=160
The triangle is scalene because none of the three sides are equal to each other.
Which of the following investigations is an example of the study of an abiotic factor?A. the relationship between finch beak size and food availability on two different Galapagos IslandsB. observing interactions among various organisms in a rainforest canopyC. investigating how an elk population competes for foodD. identifying food sources for an egret populationE. investigating how the amount of annual precipitation affects the distribution of a tree species
Answers
Answer:
E. Investigating how the amount of annual precipitation affects the distribution of a tree species.
Step-by-step explanation:
Abiotic factors are factors in an ecosystem that are non-living. Abiotic factors include water, soil, temperature, light, and air. Among all the choices, only choice E considers an abiotic factor, which is precipitation.
Precipitation is water, and as mentioned earlier, water is an abiotic factor. The case here is the study of the annual precipitation and effects on distribution of species. The study is specific to the precipitation.
The other choices involve biotic factors, like food source, the organisms and the like.
HELP PLEASE!
Kim uses the Fermi process to estimate the number of buckets of rocks she could store in a warehouse. The buckets are shaped like cylinders. The warehouse is shaped like a rectangular prism.
• She estimates the buckets have a height of 25 inches and a diameter of 10 inches.
• She estimates the warehouse is 100 feet long, 50 feet wide, and 20 feet long.
Which expression should Kim use in the process?
Answers
Answer:
2×1082×103
Step-by-step explanation:
Just took the unit test. Image as proof
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the buckets have a height of 25 inches and a diameter of 10 inches.
The volume of a cylinder is
[tex]V=\pi r^2h[/tex]
[tex]V_1=\pi (\frac{10}{2})^2(25)[/tex]
[tex]V_1=\pi (5)^2(25)[/tex]
[tex]V_1=625\pi[/tex]
[tex]V_1=1963.49540849[/tex]
The scientific notation is
[tex]V_1=1.963\times 10^3[/tex]
[tex]V_1\approx 2\times 10^3[/tex]
The warehouse is 100 feet long, 50 feet wide, and 20 feet long.
1 feet = 12 inches
The volume of a cube is
[tex]V=length\times breadth \times height[/tex]
Using the above conversion the volume of cube in cubic inches is
[tex]V_2=(100\times 12)\times (50\times 12)\times (20\times 12)[/tex]
[tex]V_2=172800000[/tex]
The scientific notation is
[tex]V_2=1.728\times 10^8[/tex]
[tex]V_2\approx 2\times 10^8[/tex]
The number of buckets of rocks she could store in a warehouse is
[tex]n=\frac{V_2}{V_1}[/tex]
[tex]n=\frac{2\times 10^8}{2\times 10^3}[/tex]
Therefore the correct option is 3.
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x f(u) du 6x = 0 f(u) du 6x + 7x f(u) du 0
Answers
It looks like you're given
[tex]g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du[/tex]
Then by the additivity of definite integrals this is the same as
[tex]g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du[/tex]
(presumably this is what the hint suggests to use)
Then by the fundamental theorem of calculus, we have
[tex]\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}[/tex]
The Fundamental Theorem of Calculus Part 1 states the relationship between differentiation and integration. For a given function, transform the integral as hinted in the question, then use the theorem to differentiate the function by simply replacing the variable of integration with the upper limit of the integral.
Explanation:The Fundamental Theorem of Calculus Part 1 is primarily used to identify the relationship between differentiation and integration, which are two basic operations in calculus. For a given function g(x) = ∫7x u² − 1 u² + 1 du from a to x, we first identify the function inside the integral, let's say f(u) = 7x u² − 1 u² + 1. Now, the mentioned integral transformation hints us that: 7x ∫f(u) du from 6x to 0 equals ∫f(u) du from 6x to 0 + ∫7x f(u) du from 0 to 6x.
Next, we simply differentiate g(x) using Part 1 of the Fundamental Theorem of Calculus, which states that if g(x) is the integral from a to x of f(t) dt, then the derivative of g(x) is f(x). So, by applying this, the derivative function g'(x) of given g(x) will be f(x), i.e., 7x x² − 1 x² + 1.
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Two sporting goods stores are having discount sales on basketballs at one store a basketball is on sale for 25% off the regular price of 24.95 at the other store the same kind of basketball is on sale for 30% off the regular price of 25.80 what is the difference between the sale prices of the two stores
Answers
Answer:
0.66
Step-by-step explanation:
24.95 x 25%=6.23
24.94 - 6.23 = 18.72
25.80 x 30% = 7.74
25.80 - 7.74 = 18.06
18.72 -18 .06 = 0.66
For this case we have:
Store 1:
We propose the following rule of three:
24.95 -----------> 100%
x -------------------> 25%
Where the variable x represents the discount amount:
[tex]x = \frac {25 * 24.95} {100}\\x = 6.2375[/tex]
Thus, the price of the ball is:
[tex]24.95-6.2375 = 18.7125[/tex]
Store 2:
We propose the following rule of three:
25.80 -----------> 100%
x -------------------> 30%
Where the variable x represents the discount amount:
[tex]x = \frac {30 * 25.80} {100}\\x = 7.74[/tex]
Thus, the price of the ball is:
25.80-7.74 = 18.06
Thus, the price difference is:
[tex]18.7125-18.06 = 0.6525[/tex]
ANswer:
0.6525
Can y’all help me out ?
Answers
Answer:
B
Step-by-step explanation:
It is less than 50% and more tha 10%
It’s B I just took the test or quiz
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
Answers
Answer:
$97.20
Step-by-step explanation:
Divide the tip amount $14.58 by the percentage given 15% or .15.
$14.58 ÷ .15 =$97.20
Check your work by multiplying the answer $97.20 by the percent of tip 15%. $97.20 × .15 =$14.58 (tip amount)
Answer:
C
Step-by-step explanation:
What is the volume of the prism below
Answers
Answer:A. 140
Step-by-step explanation:
1/2(5)(7)(8)
Please help with the verifying.
Answers
PLEASE HELP!!!!!!!!!!!
Answers
We know three things:
Angle1 = 90 degrees
Angle2 = 28 degrees
Side = 350 ft
So this means, we are dealing with an AAS triangle (angle, angle, side).
To find side x:
X / sin(90degrees) = 350ft / sin(28degrees)
X = (350ft • sin(90degrees)) / sin(28degrees)
X = 745.5...
=746ft
Makes sense? This is how you solve a AAS triangle. I’m not sure if it’s 100% but, good luck!
Please please help me
Answers
Answer:
x = 6.6 cm
Step-by-step explanation:
The angle formed on the circle by the radius and the tangent is right.
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Hypotenuse is (x + 8.45) and 2 sides are x and 13.5, thus
(x + 8.45)² = x² + 13.5² ← expand left side
x² + 16.9x + 71.4025 = x² + 182.25 ( subtract x² from both sides )
16.9x + 71.4025 = 182.25 ( subtract 71.4025 from both sides )
16.9x = 110.8475 ( divide both sides by 16.9 )
x ≈ 6.6 cm
P(A) = 0.40 P(B) = 0.50 P(A and B) = 0.10 What is P(B/A)
Answers
Answer:
Final answer is [tex]P(B|A) = 0.25[/tex].
Step-by-step explanation:
We have been given values of
P(A) = 0.40, P(B) = 0.50, and P(A and B) = 0.10
Now we need to find about what is the value of P(B/A).
Apply formula [tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]
Plug the given values into above formula:
[tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]
[tex]0.10 =0.40 \times P(B|A)[/tex]
[tex]\frac{0.10}{0.40} =P(B|A)[/tex]
[tex]0.25 =P(B|A)[/tex]
[tex]P(B|A) = 0.25[/tex]
Hence final answer is [tex]P(B|A) = 0.25[/tex].
Please help me out please
Answers
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
Ally has one coupon for $5.00 off and another coupon for 25% off. The store only allows one coupon per purchase. If Ally's purchase costs $21.89 before the coupon, which coupon should she use to get the bigger discount?
Answers
Answer:
25%
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 21.89 × 25/100
Discount = 547.25/100
You save = $5.4725
Final Price = Original Price - Discount
Final Price = 21.89 - 5.4725
Final Price = $16.4175
Answer:
25% off
Step-by-step explanation:
Line m is parallel to line n. The measure of angle 4 is (5a + 10)°. The measure of angle 6 is (3a + 10)°. What is the measure of angle 4?
A. 110°
B. 70°
C. 20°
D. 60°
Answers
Answer:
A. 110
Step-by-step explanation:
Angles 4 and 6 are supplementary so if we add them together they will equal 180.
(5a + 10)° + (3a + 10)° = 180°
Simplify a bit to get 8a + 20 = 180
and 8a = 160.
a = 20. Now sub that value of a into the expression for angle 4:
5a + 10 --> 5(20) + 10 = 110°
Answer:
Option A.
Step-by-step explanation:
Given information: m║n, [tex]m\angle 4=(5a+10)^{\circ}[/tex] and [tex]m\angle 6=(3a+10)^{\circ}[/tex].
If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles. It means their sum is 180.
From the given figure it is clear that angle 4 angle 6 are interior angles on the same side. So, angle 4 and 6 are supplementary angles.
[tex]m\angle 4+m\angle 6=180^{\circ}[/tex]
[tex](5a+10)+(3a+10)=180[/tex]
On combining like terms we get
[tex](5a+3a)+(10+10)=180[/tex]
[tex]8a+20=180[/tex]
Subtract 20 from both sides.
[tex]8a+20-20=180-20[/tex]
[tex]8a=160[/tex]
Divide both sides by 8.
[tex]a=20[/tex]
The value of a is 20.
[tex]m\angle 4=(5a+10)^{\circ}\Rightarrow 5(20)+10)^{\circ}=110^{\circ}[/tex]
Therefore, the correct option is A.
Find the solution to the system of equations represented by this matrix equation using an inverse matrix.
Answers
Answer:
D) [tex]\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right][/tex]
Step-by-step explanation:
For matrix [tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
the inverse matrix is the transpose of the cofactor matrix, divided by the determinant: [tex]\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
Your inverse matrix is: [tex]\dfrac{1}{2(-3)-(1)(2)}\left[\begin{array}{cc}-3&-1\\-2&2\end{array}\right][/tex]
so the solution is ...
[tex]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}\frac{3}{8}&\frac{1}{8}\\\frac{1}{4}&-\frac{1}{4}\end{array}\right] \cdot\left[\begin{array}{c}2\\4\end{array}\right] =\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right] \qquad\text{matches selection D}[/tex]
what is the circumference of the circle in terms of pi with a radius of 10in
A. 100 pi in
B. 30 pi in
C. 10 pi in
D. 20 pi in
Answers
ANSWER
EXPLANATION
The circumference of a circle is calculated using the formula:
[tex]C=2\pi \: r[/tex]
From the question, the radius of the circle is 10 inches.
We substitute the radius into the formula to get:
[tex]C=2\pi \times 10[/tex]
Let us multiply out to get:
[tex]C=20 \pi \: in[/tex]
The question required that we leave the answer in terms of π.
The correct choice is C.
Answer:
the correct answer is 14 nStep-by-step explanation:
Geometry help needed, please :)
Answers
Answer:
C
Step-by-step explanation:
The Hypotenuse is y
The side opposite the given angle (60o) is 12.
You must use one of the trig functions to relate the angle, the side opposite and the hypotenuse.
It turns out that the function you need to use is the sine.
angle = 60o
Side opposite = 12 cm
hypotenuse = h = ???
Sin(60o) = opposite / hypotenuse multiply both sides by the hypotenuse.
hypotenuse * sin(60o) = side opposite
Divide by sin(60o)
hypotenuse = side opposite / sin(60)
hypotenuse = 12/sin(60)
Sin(60) radical form = sqrt(3)/2
hypotenuse = 12 // sqrt(3)/2
hypotenuse = 24 // sqrt(3) Rationalize the denominator.
hypotenuse = 24 * sqrt(3) // ( (sqrt(3)*sqrt(3) )
hypotenuse = 8 sqrt(3)
C
F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector parametric equation r⃗ (t)r→(t) for the line segment cc so that points pp and qq correspond to t=0t=0 and t=1t=1, respectively. r⃗ (t)=r→(t)= (b) using the parametrization in part (a), the line integral of f⃗ f→ along cc is ∫cf⃗ ⋅dr⃗ =∫baf⃗ (r⃗ (t))⋅r⃗ ′(t)dt=∫ba∫cf→⋅dr→=∫abf→(r→(t))⋅r→′(t)dt=∫ab dtdt with limits of integration a=a= and b=b= (c) evaluate the line integral in part (b). (d) what is the line integral of f⃗ f→ around the clockwise-oriented triangle with corners at the origin, pp, and qq? hint: sketch the vector field and the triangle.
Answers
a. Parameterize [tex]C[/tex] by
[tex]\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath[/tex]
with [tex]0\le t\le1[/tex].
b/c. The line integral of [tex]\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath[/tex] over [tex]C[/tex] is
[tex]\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt[/tex]
[tex]=\displaystyle10\int_0^1\mathrm dt=\boxed{10}[/tex]
d. Notice that we can write the line integral as
[tex]\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)[/tex]
By Green's theorem, the line integral is equivalent to
[tex]\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy[/tex]
where [tex]D[/tex] is the triangle bounded by [tex]C[/tex], and this integral is simply twice the area of [tex]D[/tex]. [tex]D[/tex] is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
A vector parametric equation was computed for the line segment between the points P and Q. This was used to compute the line integral of the vector field along the segment, which was found by substituting the parametrization into the field, deriving it and computing the dot product and integral. The clockwise integral around the triangle was then computed as the negative of the one we obtained earlier.
Explanation:To solve this, consider the given points as vectors, i.e., ℒ = <5,0> and № = <0,2>. First, let's find a vector parametric equation ℝ(τ) for the line segment cc. To do this, we're going to create a vector equation that shows the progression from point ℒ to № with 0 ≤ τ ≤ 1.
Since t changes from 0 to 1, an equation for that movement is ℝ(τ) = (1-τ) * ℒ + τ * №. With insertions, the equation converts to ℝ(τ) = (1-τ) * <5,0> + τ<0,2> = <5-5t,2t>.
For the line integral Along C, our F(x, y) = -yi + xj, when we substitute our ℝ(τ) into this equation, our F becomes F(ℝ) = -2ti + (5-5t)j.
Derivation of ℝ(τ) will give us the rate of change of our function and help in the computation of the line integral. So, ℝ'(τ) = -5i + 2j. The integrand function for line integral then becomes F(ℝ) . ℝ'(τ) = -10t + 10t - 10t2. So our line integral ∫F . dℝ from 0 to 1 will be ∫ (-10t + 10t - 10t2) dt.
For the clockwise integral around the triangle, since our original line integral was done in a counterclockwise direction, it will simply be the negative of the one we just computed.
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Which histogram matches the data set below?
Data Range: 0-10, 10-20, 20-30, 30-40, 40-50
Frequency: 5, 10, 25, 15, 10
Answers
the third one bc the data range is x and the frequency is y so just match 0-10 w 5 as it’s y value and see if it matches on the graph and keep doing it for 10-20 make sure it’s y value is 10 then 20-30 it’s y value is 25 and so on
We are given the data range and frequency of the data set as follows:
Data Range: Frequency:
0-10 5
10-20 10
20-30 25
30-40 15
40-50 10
This means that the first bar is of the smallest height and the height of first bar is: 5
The second bar is greater than the first with ha height of 10
The third bar has the highest height of 25
and then the fourth bar is smaller than the third bar with a height of 15 and the fifth bar has a height of 10.
Hence, the histogram that matches the data set is the figure attached to the answer.
The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.
Answers
bearing in mind that the derivative of s(t) is s'(t) = velocity, thus
[tex]\bf s(t)=-2-6t\implies \left. \cfrac{ds}{dt}=-6 \right|_{t=2}\implies -6[/tex]
namely a negative rate, so the object is slowing down to a stop.
Answer:
the instantaneous velocity at t = 2 is -6
Step-by-step explanation:
The position of an object at time t is given by s(t) = -2 - 6t
To find instantaneous velocity we take derivative s'(t)
s(t)= -2-6t
s'(t)= 0 -6=-6
To find instantaneous velocity at t= 2, we plug in 2 for t
there is no 't' in s'(t)
so s'(2)= -6
the instantaneous velocity at t = 2 is -6
The owner of a catering company wants to select a random sample of clients to find out about their food preferences. Select Yes or No to tell whether each method results in a random sample of the population. Yes or No The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. The owner sends a survey to all clients whose phone number ends in 5. The owner sends a survey to the last 20 clients who used the catering company's services.
Answers
Answer:
Select Yes or No to tell whether each method results in a random sample of the population.
1. The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking.- yes
3. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. - no
4. The owner sends a survey to all clients whose phone number ends in 5.- yes
5. The owner sends a survey to the last 20 clients who used the catering company's services.- yes
50 Points who can actually do this..
PLEASE HELP
Answers
Answer:
x f(x)=1.5^x Function(x,f(x)) Inverse(f(x), x)
0 (1.5)^0=1 (0, 1) (1, 0)
1 b a c
-1 l e g
2 f h i
4 o k d
.
Answer:
Functions and x abcd
Step-by-step explanation:
If y = 4x + 3 were changed to y = -4x + 3, how would the graph of the new function compare with the original?
A.It would be steeper.
B.It would be less steep.
C.It would change orientation and slant down.
D.It would change orientation and slant up.
Answers
Answer: The answer is C. it would change orientation and slant down.
Step-by-step explanation:
The two lines are just mirror images of each other. In this case, the slope is just the opposite, causing it to be the way it is. The y intercept is the same which also causes the mirror imaging.
Answer:
It would change orientation and slant down.
Step-by-step explanation:
Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.
Find all the zeroes of the equation.
–3x4+ 27x2 + 1200 = 0
Answers
Answer:
Values of x are 4i, -4i, 5 and -5
Step-by-step explanation:
[tex]3x^4+27x^2 + 1200[/tex] We need to find all the zeros (roots) of the above equation.
Let assume that x^4 = u^2 and x^2 = u
Putting values of x^4 and x^2 in the above equation and finding the value of u.
[tex]-3u^2 + 27u+1200=0\\Using \,\,quadratic\,\,equation\,\,to\,\,solve:\\u=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\where\,\, a= -3, b= 27 \,\,and\,\, c=1200\\u=\frac{-(27)\pm\sqrt{(27)^2-4(-3)(1200)}}{2(-3)}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{15129}}{-6}\\u=\frac{-27\pm123}{-6}\\so, \,\, u = \frac{-27+123}{-6} \,\, and \,\, u \frac{-27-123}{-6}\\u= -16 \,\, and \,\, u = 25[/tex]
So, values of u are -16 and 25
Putting back the value of u i.e, x^2
x^2 = -16 and x^2 =25
solving
Taking square root on both sides:
√x^2 =√-16 and √x^2 = √25
x = ± 4i (as √-1 =i) and x = ±5
So, values of x are 4i, -4i, 5 and -5.
Help me with this please!!
Answers
[tex]\displaystyle\\\frac{22}{10}=\frac{x}{12}=\frac{33}{y}\\\\\frac{22}{10}=\frac{x}{12}\implies~x=\frac{22\times12}{10}=\frac{264}{10}=\boxed{\bf26.4}\\\\\frac{22}{10}=\frac{33}{y}\implies~y=\frac{10\times33}{22}=\frac{10\times3}{2}=5\times3=\boxed{\bf15}[/tex]