The functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
To check whether a point is on the graph of a function, we can substitute the coordinates of the point into the equation of the function and see if the equation is true.
Substituting (4, 1) into each of the functions, we get:
A: y = 2x -> 1 = 2(4) = 8 (false)
B: y = (1/4)x -> 1 = (1/4)(4) = 1 (true)
C: y = x + 12 -> 1 = 4 + 12 = 16 (false)
D: y = x - 3 -> 1 = 4 - 3 = 1 (true)
E: y = x^2 -> 1 = 4^2 = 16 (false)
Therefore, the functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3
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Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerline 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes.
a.
4.1 ft
b.
9.4 ft
c.
16.9 ft
d.
11.6 ft
Answer:
4.1 ft
Step-by-step explanation:
All we need to do is substitute "t" as 2 minutes to determine the height:
h = 10.6 + 6.5 sin(850*2),
Remove full rotations of 360 until the angle is between 0 and 360° :
h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)
Now evaluate sin(260) :
h = 10.6 - 6.40125... = 4.1987496
Your solution should be 4.1 ft (though it actually should be 4.2 ft)
Which of these can be a remainder when a whole number is divided by 4? Select all the correct
answers.
1
2
3
4
5
6
8
Someone please explain to me how it turned from 5x to 10x.
Answer:
Both sides were divided by 1/2.
Step-by-step explanation:
To further simplify the equation, both sides were divided by 1/2.
5x = 1/2[10 + (8x - 2)]
10x = 10 + 8x - 2
As you can see, 5x / 1/2 = 10x and 1/2[10 + (8x - 2)] = 10 + 8x - 2.
Instead of using (1/2 / 1/2)[10 + (8x - 2)] we can say 10 + 8x - 2 since 1/2 / 1/2 = 1.
Answer:
Step-by-step explanation:
At step 2:. XY = 5
Step 4. :. XY =½(RA +TP)
5x changed to 10x because 5x
were multiplied by 2 in step 5.
PLEASE MARK BRAINLIEST.
Please show who u got this
1. 6 times 6 times 6 times 6 times 6 times
2. 2 times 2 times 2 times 2 times 2 times 2 times
Answer:
1. 7776
2. 64
Step-by-step explanation:
6×6×6×6×6
6×6=36
simplify:
36×36×6
36×36=1296
1296×6=7776
2.
2×2×2×2×2×2
2×2=4
simplify:
4×4×4
16×4 =64
Answer: 6 times 5 is 30
2 times 5 is 10
30 + 10 is 40
40 times 2.2 is 88
Step-by-step explanation:
the product of Diego's height and 3is 57
use the variable d to represent Diego's height
Answer:
Step-by-step explanation:
Let diago's height be d
d into 3=57
3d=57
d=57/3
d=19
diago's height=19 units
What is the value of the missing angle? The options are: 129, 153, 169, and 720 degrees.
PLEASE HELP!!!!! I uploaded a picture to hope you can see.
Answer:
Value of x = 169°
Step-by-step explanation:
Given:
Number of side = 6
Angles = 151°, x°, 75°, 135°, 115°, 75°
Find:
Value of x
Computation:
Angle sum of Hexagon = 720°
So,
151° + x° + 75° + 135° + 115° + 75° = 720°
x° = 169°
Value of x = 169°
A box of cereal contains 725 grams of cereal. To make a bowl of cereal.r, grams of cereal is removed from the box What equation models the relationship between the quantity of cereal removed, r, and the quantity of the cereal in the box, b?
A: b = 725 - r
B: b = 725r
C: r= 725b
D: r = 725-b
Answer:
A.
Step-by-step explanation:
b=725-r
Jocelyn expects her new software company to increase its sales best year 2 3/4 times their present value. Write this increase as a percent
Answer:
175%.
Step-by-step explanation:
Given that Jocelyn expects her new software company to increase its sales best year 2 3/4 times their present value, to determine this increase as a percentage, the following calculation must be performed:
3/4 = 0.75
2 + 0.75 = 2.75
Thus, if for example its present value were $ 10, the increase would operate as follows:
10 x 2.75 = 27.5
10 = 100
27.5 = X
27.5 x 100/10 = X
2750/10 = 275
275 - 100 = 175
Thus, an increase of 2 3/4 times would be equal to an increase of 175%.
What is the slope of the line that passes through the points (3, -9) and (-2, 16)?
Answer:
-5
Step-by-step explanation:
the slope is change in y over change in x and when y goes down 25 x goes up 5
-25/5=5
What is 72 divided by 12
Answer:
6
xmxnznfnsmfbxdkdjdjf
Answer:
6
Step-by-step explanation:
72 ÷ 12 =6
Have a nice dayyy
(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing
Answer:
a) Probability of ending up wearing 2 blue socks is 1/11.
b) Probability of ending up wearing no grey socks is 7/22.
c) Probability of ending up wearing at least 1 black sock is 5/11.
d) Probability of ending up wearing a green sock is 0.
e) Probability of ending up wearing matching socks is 19/66.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.
The explanation of the answer is now given as follows:
The following are given in the question:
n(B) = number of Blue socks = 4
n(G) = number of Gray socks = 5
n(K) = number of black socks = 3
Therefore, we have:
n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12
To calculate a probability, the following formula for calculating probability is used:
Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)
Since this is a without replacement probability, we can now proceed as follows:
a) 2 blue socks
P(B) = Probability of ending up wearing 2 blue socks = ?
Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3
Since it is without replacement, we have:
Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11
P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11
b) no gray socks.
Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7
P(No G) = Probability of ending up wearing no gray socks = ?
Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11
P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22
c) at least 1 black sock.
Probability of at least one black sock = 1 - P(No K)
Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9
Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11
P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11
Probability of at least one black sock = 1 - (6 / 11) = 5 / 11
d) a green sock.
n(Green) = number of Green socks = 0
Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.
e) matching socks.
This can be calculated using the following 4 steps:
Step 1: Calculation of the probability of matching blue socks
P(matching blue socks) = P(B) = 1 / 11
Step 2: Calculation of the probability of matching gray socks
P(matching green socks) = Probability of matching gray socks = ?
Probability of first pick = n(G) / n(T) = 5 / 12
Since it is without replacement, we have:
Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11
P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33
Step 3: Calculation of the probability of matching black socks
P(matching black socks) = Probability of matching green socks = ?
Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4
Since it is without replacement, we have:
Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11
P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22
Step 4: Calculation of the probability of ending up wearing matching socks
P(matching socks) = Probability of ending up wearing matching socks = ?
P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66
O Light travels at the speed of M/s in how many miles does light travel in 30 seconds
Answer:
C
Step-by-step explanation:
Formular for speed is distance
Time
1.9×10^5=distance
30
Distance= 5700000
Distance=5.7×10^6
3 Simplify the expression: 5! 2:3! 4. Simplify the expression:
Answer:
10
Step-by-step explanation:
[tex]5! 2:3! 4 \\ \\ = \frac{5! \: .2}{3! \: . 4} \\ \\ = \frac{5.4. \cancel{3!} \: . 2}{\cancel{3!} \: .4} \\ \\ = \frac{40}{4} \\ \\ = 10[/tex]
Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
It is indeed correct on Edge
The graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
u = (-2, -3) and v = (3, -1)
So,
To subtract two vectors, subtract the corresponding components.
i.e. The difference of u and v vector = ( u₁ - v₁, u₂ - v₂)
i.e.
u = (-2, -3) and v = (3, -1)
i.e.
u₁ = -2,
u₂ = -3,
v₁ = 3,
v₂ = -1
Now,
(u - v) = ( u₁ - v₁, u₂ - v₂)
i.e.
(u - v) = [( -2 - 3 ), ( -3 - (-1) )]
On solving,
We get,
(u - v) = (-5, -2)
Hence, we can say that the graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
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PLEASE ANSWER
Rectangle ABCD is shown below with a line EF drawn through its center. If the rectangle is dilated using a scale factor of 2 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line EF in the drawing below?
Answer:
The new line will be perpendicular to line EF because both the lines are drawn through the center of the figures (rectangle ABCD and rectangle A'B'C'D') causing both of the lines to intersect each other. Rectangle ABCD will get bigger causing to form rectangle A'B'C'D' because it is dilated with a scale factor of 2. Rectangle A'B'C'D' will contain the new line and line EF.
Hope this helps and stay safe, happy, and healthy, thank you :) !!
1. Identify the correct inverse trigonometric function
to use to solve for the given angle.
48
?
34
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
please help me asap!!!
HI=37. it's a lot to explain
Solve for the missing angles.
Answer:
Step-by-step explanation:
Since they are adjacent the sum of the angles must equal 180 degrees.
17x+4+2x+5=180
19x+9=180
19x=171
x=9 making 17x+4=17(9)+4=157 degrees and 2x+5=2(9)+5=23 degrees
So the two angles are 23 and 157
PLEASE HELP ON TIMMER!!!
Example 4
You want to reduce the size of a picture to place in a
small frame. You aren't sure what size to choose on
the photocopier, so you decide to reduce the picture
by 15% each time you scan it until you get it to the
size you want. If the picture was 10 inches long at the
start, how long is it after 3 scans?
; A=
;=
Equation Used:
y=
Answer: ooop
Step-by-step explanation:
sorry I cat help you I don't know this
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
25
plz mark brainliest
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
cómo simplificar 2/3 paso a paso
Answer:
No sé pude simplificar ya que ambos no tiene divisores en común. Pero si lo deseas dividir daría como resultado: 2 ÷ 3 = 0.6666666667
The simplified expression is 0.67.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
2/3
This can be written in decimal form.
Now,
2/3
3 ) 2 ( 0.66666
20
18
20
18
20
18
20
Thus,
The simplified expression is 0.67.
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The complete question.
How to simplify 2/3 step by step
The probability of event A is P(A) = 0.25. What is the probability that event A does NOT occur?
Answer:
.75
Step-by-step explanation:
75%
because it will give 100
With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations among the 9 locations remaining. How many different routes are possible?
There are possible different routes.
Answer:
15,120
Step-by-step explanation:
The computation of the number of different routes are possible is shown below:
Since there are 5 locations for deliveries among the 9 locations that left
So, the number of routes that could be possible is
[tex]= ^9P_5\\\\= \frac{9!}{9-5!} \\\\= \frac{9!}{4!} \\\\= \frac{9\times 8\times 7\times 6\times 5\times 4!}{4!}\\\\= 15,120[/tex]
If two negative integers are multiplied together, the product will be
F
negative
G
positive
H
both positive and negative
J
neither positive or negative
Answer: A
Step-by-step explanation:
Answer:
negative
Step-by-step explanation:
-x*-y=z
primitive of (x+1)e^x
[tex]\int{(x+1)e^x} dx[/tex]
Integrate by parts: [tex]\int{fg'} = fg - \int{f'g}[/tex], where [tex]f = x+1[/tex], [tex]g' = e^x[/tex], [tex]f' = 1[/tex] and [tex]g = e^x[/tex]
[tex]\int{(x + 1)e^x} dx = (x+1)e^x - \int{e^x} dx\\= (x + 1)e^x - e^x + C = xe^x + C[/tex]
Can someone help me with these math problems?
Solve 9 = v ÷ 5. The solution is v =
Answer:
Step-by-step explanation:
Answer:
45
plz give brainliest
Step-by-step explanation:
9x5=45
Given f (x) = 2x3 + 5x2 – 3x and g(x) = 8x – 7, find (f X g)(x).
Step-by-step explanation:
I don't know what you really mean by 2x3 and 5x2 but if the x there's is multiplication sign then your answer is 149x - 24x^2 - 112.