Answer:
[tex]y=\frac{-1}{2}x+7[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept (the y-coordinate of the point the line crosses the y-axis)
1) Find the slope ([tex]m[/tex])
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):
[tex]m=\frac{0-7}{14-0}\\m=\frac{-7}{14}[/tex]
Simplify the fraction
[tex]m=\frac{-1}{2}[/tex]
So far, our equation looks like this:
[tex]y=\frac{-1}{2}x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.
Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, [tex]b=7[/tex].
Now, this is our final equation after plugging in [tex]m[/tex] and [tex]b[/tex]:
[tex]y=\frac{-1}{2}x+7[/tex]
I hope this helps!
A Ferris wheel can accommodate 60 people in 20 minutes. How many people could ride the Ferris wheel in 2 hours ? What was that rate per hour?
Answer:
360 total
60×3×2=360
180 per hour
Question 18
5 pts
Find the slope of the line perpendicular to the line with the given
information:
y = -7
Answer:
Undefined
Step-by-step explanation:
[tex]y=-7[/tex] has a slope of [tex]0[/tex], since it is a horizontal line. The only types of lines that are perpendicular to horizontal lines are vertical lines, which are usually in the form [tex]x=a[/tex] (where [tex]a[/tex] is any real number). Vertical lines have an undefined slope, so the answer is undefined. Hope this helps!
Help and explain
===============
Answer:
8 ft = d
Step-by-step explanation:
C = π * d
C = Circumference
π = Pi
d = diameter
C = π • d
25.12 = 3.14 * d
3.14 3.14
8 = d
8 ft = d
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
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:
On Monday, a museum had 350 visitors. On Tuesday, it had 550 visitors. Estimate the percent change
in the number of visitors to the museum. Use pencil and paper. Estimate how many people would
have to visit the museum on Wednesday to have the same estimated percent change between
Tuesday and Wednesday as between Monday and Tuesday. Explain your answer.
Which of these is the best estimate for the percent change in the number of visitors to the museum?
OA. 75% decrease
OB: 100% decrease
OC. 25% increase
OD. 50% increase
Answer:
50% increase and approximately 825 people on Wednesday
Step-by-step explanation:
the amount of change = 550 - 350 = 200
Therefore, the percent of change is 200/350 = .5714 = 57.1%
Best estimate is 50%
Using 50% as the percent of change, then 1.50(550) = 825 people is the estimated number of people on Wednesday.
Answer:
50% increase
Step-by-step explanation:
definition of a rhombus
search nyo na lng po atsaka bagohan pa ako dto sorry
a parallelogram whose all sides are equal is called a rhombus a rhombus is four sided quadrilateral
PROPERTIES
all sides are equal length each pair of opposite side is equal opposite angles are equal diagonal of a rhombus are perpendicular bisector of each otherLEARN FORMULA
[tex]area \: of \: rhombus \: = \frac{1}{2} \: \times product \: of \: diognal \: \\ \\ \\ = \frac{1}{2} \times ac \times bd \\ \\ side \: of \: rhombus \: = \frac{1}{2} \sqrt{(ac {}^{2} + bd {}^{2} } [/tex]
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
3(5 + 6) =
What is the answer?
Answer:
Step-by-step explanation:
3(5+6)
15+18=33
(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
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
What is the perimeter?
7 km
7 km
8 km
kilometers
Submit
Answer:
i think it is
8km
i THINK .
Step-by-step explanation:
sorry if its wrong .
What is 72 divided by 12
Answer:
6
xmxnznfnsmfbxdkdjdjf
Answer:
6
Step-by-step explanation:
72 ÷ 12 =6
Have a nice dayyy
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
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
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.
PLEASE HURRY HELP ME DUE IN 5 MIN WILL MARK BRANCH
9514 1404 393
Answer:
parallel
Step-by-step explanation:
We can put both equations into slope-intercept form to make comparison easier.
-3x = 3 - y ⇒ y = 3x +3
3 +y = 3x -2 ⇒ y = 3x -5
These lines have the same slope, but different y-intercepts.
The lines are parallel.
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
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 :) !!
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:
Plzzz help....I am timed...There will be a picture provided....You will get 30 points!!! MATHH
Answer:
It should be the last one, She made a sign error when multiplying.
Answer: The last answer
Step-by-step explanation:
She made a mistake with her signs and put -256 instead of 256
please help me asap!!!
HI=37. it's a lot to explain
Anne is giving 20 cupcakes to her 5 best friends. How many cupcakes does each friend get? A addition B subtraction C multiplication D division
Answer:
division
Step-by-step explanation:
20:5=4 each .............
Division because your dividing the amount of cupcakes among the friends
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]
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°
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%.
How many 5-digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if
repetitions of digits are allowed?
Select one:
a. 3125 five-digit numbers
b. 89,999 five-digit numbers
c. 90,000 five-digit numbers
о
d. 100,000 five-digit numbers
Answer:
The first one!!!!
Step-by-step explanation:
Find the slope of the line that passes through these two points: (- 4, - 4) and (4, - 1)
Answer:
Step-by-step explanation:
( -1 + 4)/(4 + 4)= 3/8
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 is the graph of F(x) = 3/2 (1/3)^x?
Step-by-step explanation:
sense its 0 thats what you do for the graph