Answers
You must multiply each term of the matrix by the scalar 4.
Since it is a multiplication by a scalar, the dimension of the matrix must be the same.
Answer:
option B
See attached image.
Related Questions
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = -16t^2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
A: 0.5 < t < 1
B: 0.5 < t < 2
C: 1 < t < 2
D: 1 < t < 1.5
Answers
Remember that to find the vertex [tex](h,k)[/tex] of a parabola of the form [tex]a x^{2} +bx+c[/tex] we use the vertex formula: [tex]h= \frac{-b}{2a} [/tex], and then, we evaluate our function at [tex]h[/tex] to find [tex]k[/tex].
We can infer for our parabola that [tex]a=-16[/tex] and [tex]b=16[/tex], so lets replace those values in our formula:
[tex]h= \frac{-b}{2a} [/tex]
[tex]h= \frac{-16}{2(-16)} [/tex]
[tex]h= \frac{-16}{-32} [/tex]
[tex]h=0.5[/tex]
Now we now that the ball reaches its maximum height in 0.5 seconds.
Next, we are going to determine how long it takes for the ball to hit the ground. To do that we are going to set the time [tex]f(t)[/tex] equal to zero and solve for [tex]t[/tex]:
[tex]0=-16t^2+16t+32[/tex]
[tex]16t^2-16t-32=0[/tex]
[tex]16(t^2-t-2)=0[/tex]
[tex]t^2-t-2=0[/tex]
[tex](t+1)(t-2)=0[/tex]
[tex]t=-1[/tex] or [tex]t=2[/tex]
Since time cannot be negative, the answer is [tex]t=2[/tex]
We can conclude that a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is B: 0.5 < t < 2
Answer:
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
B is correct!
:)
The table shows the height, in feet, of the tide over time, in hours.
I know the answer is that it should be cosine instead of sine, but I don't how to determine that. I'd like to know so I could solve questions like these in the future.
Answers
f (x) = - 4sine ((pi / 6) x) + 5
We evaluate the function for x = 0
f (0) = - 4sine ((pi / 6) 0) + 5
f (0) = -4 * (0) + 5
f (0) = 5
We note that the result does not correspond to the table.
Let's rewrite the function:
f (x) = - 4cosine ((pi / 6) x) + 5
We evaluate the function for x = 0
f (0) = - 4cosine ((pi / 6) 0) + 5
f (0) = -4 * (1) + 5
f (0) = 1
The result corresponds to the table
Answer:
The student's mistake is to use the sine function instead of using the cosine function.
The correct function is:
f (x) = - 4cosine ((pi / 6) x) + 5
plz help in the picture below
Answers
= 4(1/4) + 18
= 1 + 18
= 19
answer
A) 19
Write 8 square root of z to the 3 in exponential form
Answers
What is the area of this polygon?
units²
5-sided polygon on a coordinate plane with vertices F, N, S, C, W. Point f is at (negative 4, negative 2), point N is at (2, 4), point s is at (5, negative 2), point c is at (5, negative 4), and point w is at (negative 4, negative 4)
Answers
Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9.
Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27
Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45
Final Answer: 45 square units
note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS
In this exercise we have to use the knowledge of polygon area to calculate the area of a trapezoid, in this way we find that:
[tex]45 units[/tex]
So find the area of this rectangle, this area will be:
[tex]9*2 = 18[/tex]
Find the area of triangle FSN, this area will be:
[tex]A = b*h/2 = 9*6/2 = 54/2 = 27[/tex]
Sum all the areas will be:
[tex] 18+27 = 45[/tex]
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ASAP
A central angle θ in a circle with a radius of 3.5 centimeters intercepts an arc with a length of 6.3 centimeters.
What is the radian measure of θ ? Enter your answer, as a decimal, in the box.
Answers
S = r * θ
Where,
r: radio
θ: central angle
Clearing θ we have:
θ = S / r
Substituting the values we have:
θ = 6.3 / 3.5
θ = 1.8 radians
Answer:
the radian measure of θ is:
θ = 1.8 radians
HELP PLEASE!!!
Base your answer to the question on the diagram shown below.
Fernando is going to draw a marble from the bag, replace it, and then draw another marble. What is the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
1.) 4/5
2.) 4/25
3.) 3/100
Answers
The answer is actually the second choice 4/25 hope this helps...
Answer: The correct option is (2) [tex]\dfrac{4}{25}.[/tex]
Step-by-step explanation: Given that there are 3 green, 4 yellow, 5 blue and 8 pink marbles in a bag. Fernando is going to draw a marble from the bag, replace it, and then draw another marble.
We are to find the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw.
Let, S be the sample space for the experiment of drawing a marble from the bag.
Then, n(S) = 3 + 4 + 5 + 8 = 20.
Let E denotes the event of drawing a green or blue marble and F denote the event of drawing a pink marble.
Then, we have
n(E) = 3 + 5 = 8 and n(F) = 8.
Since the second marble is drawn after replacing the first marble,
so the required probability of Drawing a green or blue marble on the first draw and a pink marble on the second draw is
[tex]P\\\\=P(E)\times P(F)\\\\\\=\dfrac{n(E)}{n(S)}\times \dfrac{n(F)}{n(S)}\\\\\\=\dfrac{8}{20}\times\dfrac{8}{20}\\\\\\=\dfrac{4}{25}.[/tex]
Thus, the required probability is [tex]\dfrac{4}{25}.[/tex]
Option (2) is CORRECT.
Sal is making bracelets for a fundraiser.he uses 6 inches of yarn per bracelets.how many bracelets can sal make with 5 feet of yarn
Answers
5 feet = 5 x 12 = 60 inches
1 braclet = 6 inches, find nnumber of bracelets:
60 ÷ 6 = 10
Answer: Sal can make 10 bracelets
What is the volume of a sphere if the radius is 9?
Answers
Answer is 3053.63
Answer: [tex]Volume = 972\pi units^{3}[/tex]
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.
[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]
Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.
[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]
Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]
[tex]Volume = (4) (243units^{3}) (\pi)[/tex]
[tex]Volume = 972\pi units^{3}[/tex]
How do u find the median of 4 numbers?
Answers
A certain number of bacteria are in a petri dish. If the growth rate is 2.7 percent per hour, how many hours will it take the bacteria to double in number?
Answers
Using the rule of 70, which states that the doubling time in hours is equal to 70 divided by the growth rate percentage, it will take approximately 25.93 hours for the bacteria to double in number at a growth rate of 2.7 percent per hour.
Explanation:To calculate the time it will take for the bacteria to double in number with a growth rate of 2.7 percent per hour, we can use the rule of 70. The rule of 70 states that we can find the doubling time by dividing 70 by the percentage growth rate.
Doubling time = 70 ÷ growth rate percentage = 70 ÷ 2.7 ≈ 25.93
Therefore, it will take approximately 25.93 hours for the bacteria to double in number.
The frequency of the musical not B3 is about 246.94 Hz. What is the frequency of the note a perfect fifth below B3
370.42 Hz
246.94 Hz
241.94 Hz
164.63 Hz
Answers
The frequency of the note a perfect fifth below B3 will be
246.94×2/3 = 164.62667
The appropriate choice is ...
164.63 Hz
Find the volume of the figure the diameter of the base is 4 cm
The figure is a cylinder that has d= 4 cm and h= 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm)
Please help! Thanks!
Answer Choices:
A. 22π cm^3
B. 152/3 π cm^3
C. 62/3 π cm^3
D. 46/3 π cm^2
Answers
D
Total volume = volume of cylinder + volume of hemisphere
Total volume = pi * r^2 * h + 2/3 * pi * r^3, where r = 2 and h = 2.5
total volume = 46/3 pi cm^2
How do I do this? Show all work please! THANKS
RANDOM ANSWERS WILL BE MODERATED!
Answers
the medians are of course the segments going from a vertex to the middle of the opposite side.
now, one thing about the centroid, it cuts all medians in a 2:1 ratio.
by looking at the graph, we can see that BP is the longer, so BP : PM are on a 2:1 ratio, thus
[tex]\bf \cfrac{BP}{PM}\implies \cfrac{7x+4}{2x+5}=\cfrac{2}{1}\implies 7x+4=4x+10 \\\\\\ 3x=6\implies x=\cfrac{6}{3}\implies x=2\qquad \qquad \qquad\qquad \boxed{PM=2(2)+5}[/tex]
Daniel is using logarithms to solve the equation 24x = 14. Which of the following equations would be equivalent to his original expression?
2 log 4x = log 14
4x log 2 = log 14
2 log 4 = x log 14
x log 4 = 2 log 14
Answers
The resulting expression of the given logarithmic function will be 4xlog2 = log14.
Given the logarithmic expression below:
[tex]2^{4x}=14[/tex]
We are to determine which of the equations would be equivalent to his original expression.
Taking the logarithm of both sides, we will have:
[tex]log2^{4x}=log14\\4xlog2=log14\\[/tex]
From the solution, we can see that the resulting expression will be 4xlog2 = log14.
What is the value of y?
Please enter your answer, as an exact value
Answers
y = tan(60) * 5
and you know tan(60) = √3
so
y = 5√3
answer
5√3 (exact value)
So to Solve this we are going to be using Tangent.
Tangent: opposite/adjacent
Tan60 = y/5
Tan60 * 5 = y/5 *5
Tan60 * 5 = y
8.66 = y
What are the solutions of the equation 4x2 + 3x = 24 – x?
a.)–3, 2, or 4
b.)–3 or 2
c.)–2, 3, or 4
d.)–2 or 3
Answers
Answer:
Its B
Step-by-step explanation:
What is the surface area of a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches? 150 square inches 150 cubic inches 170 square inches 170 cubic inches
HELPPPP
Answers
Answer:
Option (3) is correct.
The surface area of a rectangular prism of given dimension is 170 square inches.
Step-by-step explanation:
Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.
We have to find the surface area of a rectangular prism of given dimension.
Since a rectangular prism whose base is 5 inches by 6 inches
That is length (l)= 5 inches
Width (w) = 6 inches
and height (h) = 5 inches.
Also . [tex]\text{surface area of a rectangular prism}=2(lw+wh+hl)[/tex]
Substitute, we have,
[tex]\text{surface area of a rectangular prism}=2(5\cdot 6+5\cdot 5+5\cdot 6)[/tex]
simplify , we have,
surface area of a rectangular prism = 170 inches²
Thus, the surface area of a rectangular prism of given dimension is 170 square inches
Harry was given an assignment. He had 42 days to get 336 tasks done at work.Which operation would he use to figure out how many tasks he needs to complete each day
Answers
42divided by 336 that is it
Hope this Helped :D
1. ______________ is process that you can do over and over, where each result does not affect the next.
Ex. Flipping a coin, rolling dice, choosing a card, etc.
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Probability experiment or a trail is process that you can do over and over, where each result does not affect the next
Explanation: Trail is defined as a procedure that can repeated any number of times and the result of one trial does not affect the next. This mean each trail or a probability experiment is independent and not associated with the last result.
The local weather report states that the probability that it will snow today is 20% and the probability that it will snow tomorrow is 40%. Which of the following is a true statement?
A.
It is not very likely that it will snow both today and tomorrow.
B.
It is very likely that it will snow both today and tomorrow.
C.
It is impossible that it will snow both today and tomorrow.
D.
It is certain that it will snow both today and tomorrow.
Answers
The probability of it snowing both today and tomorrow is 8%, based on the given probabilities for individual days. Therefore, the most accurate statement is that it's not very likely for it to snow on both days.
Explanation:The question revolves around understanding the concept of probability. In the context of probability, you multiply the probabilities of two independent events (like it snowing on two different days) to get the probability of both occurring.
To find out if it will snow both today and tomorrow, we multiply the probability it will snow today (20% or 0.2) by the probability it will snow tomorrow (40% or 0.4). This gives us a probability of 0.08 or 8%, which means that it's not very likely that it will snow both today and tomorrow.
So, the correct answer would be Option A: It is not very likely that it will snow both today and tomorrow.
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Convert. If necessary, round to the nearest tenth. (Recall: 1 mi ≈ 1.61 km) km/h ~ 10 mi/h
Answers
Answer:
10 mile per hour = 16.1 kilometers per h our
Step-by-step explanation:
We know that
1 mile = 1.61 kilometers
We are supposed to convert speed given in miles per hour (mph) to kilometers per hours (kmph)
In order to do so ,
1 mile = 1.61 kilometers
1 mile per hour = 1.61 kilometers per hour
Multiplying both sides by 10 we get
10 miles per hour = 1.61 *10 kilometers per hour
10 miles per hour = 16.1 kilometers per hour
Hence our speed in kilometers per hour is 16.10 kmph
Is the following relation a function ? Yes or no
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Identify the parameters in y = a*bkx.
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Thus the parameters here are a, b and k. k is the constant of proportionality.
Jeanine baker makes floral arrangements. she has 18 different cut flowers and plans to use 7 of them. how many different selections of the 7 flowers are possible?
Answers
Jeanine can create 43758 different floral arrangements using 7 flowers out of the 18 available. This was calculated using the mathematical concept of combinations.
Explanation:To find the number of different selections of 7 flowers Jeanine can make out of 18, we need to use the mathematical concept of combinations. In this context, the combination formula is used, which is: C(n, k) = n! / [k!(n-k)!]
Where n is the total number, k is the number chosen, and '!' stands for factorial, which is the product of all positive integers less than or equal to the number. Thus, the number of ways Jeanine can choose 7 flowers out of 18 is calculated as follows: C(18, 7) = 18! / [7!(18-7)!] = 43758. Therefore, there are 43758 different ways Jeanine can create floral arrangements using 7 flowers out of the 18 available.
It should be noted that the color of the flowers does not influence the number of combinations if she intends to select any 7 flowers irrespective of their color.
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QS is the perpendicular bisector of PR solve for x
Answers
3x - 20 = 70
3x = 90
x = 30
The term 'perpendicular bisector' means QS cuts PR into two equal parts at a 90-degree angle. If PR is '2x', then each half is 'x'. To solve for x, we would need data about the lengths of the line segments.
Explanation:Given that QS is the perpendicular bisector of PR, it implies two things. Firstly, QS intersects PR at a 90-degree angle. Secondly, QS splits PR into two equal segments. So, if PR is represented as '2x', then PQ and QR are both 'x'.
Unfortunately, missing information prevents a specific solution for x. We'd need additional data about the lengths of these line segments to solve the equation for x. For instance, if PR = 10, then '2x = 10' which gives us 'x = 5'.
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Kill bought items costing $3.45,$1.99,$6.59 ,and $12.98. She used a coupon worth $2.50 .if Jill had $50.00 when she went into the store,how much did she have when she left?
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What is the sine value of pi?
A. -1/2
B. 1/2
C. 0
D. 1
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You can use a calculator to get this answer, a reference table, or the unit circle. The angle pi radians is equivalent to 180 degrees. Note how the point on the unit circle corresponding to 180 degrees is (1,0). This point has a y coordinate of zero. More broadly, y = sin(theta) where theta is the angle.
Which expression is equivalent to 60x^20 y^24/30x^10 y^12
Answers
= (60/30) · (x^20/x^10) · (y^24/y^12)
= 2 · x^(20-10) · y^(24-12)
= 2 · x^10 · y^12
Answer: 2 x^10 y^12
The answer is B on edg :)
David, Mike, and Anne are friends. As a hobby, the friends collect baseball cards. Mike owns 9 less than 9 times the number of cards that Anne owns. David owns 27 more than 3 times the number of cards that Anne owns. If David and Mike own the same number of baseball cards, how many baseball cards does Anne own?