Answer:
See below
Step-by-step explanation:
Arrange the list in ascending order
16 800 18400 19 950 23 400 26 500 47 800
MEDIAN is the middle number ...since there are TWO in the middle it is the average of the two (19950 + 23400) /2 = 21675
MEAN is the average...add all of the numbers and divide by 6
= 25475
What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?
1/9 x 12
1/9 x 1/12
9/1 x 12
1/12 x 108
Answer:
B
Step-by-step explanation:
We must find the reciprocal of 12, which is 1/12. This means 1/9 divided by 12 is 1/9 times 1/12.
Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.
Step-by-step explanation:-
The given line is 3x + 4y - 12 = 0
=> 4y = -3x + 12 ....(i)
=> y = -3x/4 + 3,
therefore, the slope of the line (i) = -3/4.
From P(-1,-2), draw PN perpendicular to the given line. (see attachment)
As we know,, m2 = -1/m1
So, the slope of the line PN = 4/3
the equation of the line through P(-1,-2) and having a slope 4/3 is :-
= > y - (-2) = 4/3 * (x - (-1))
= > 3y + 6 = 4x + 4
= > 4x - 3y - 2 = 0....(ii)
which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and
(ii) by 4, and on adding, we get
= > 25x - 44 = 0
= > x = 44/25
Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-
= > 25y - 42 = 0
= > y = 42/25
Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)
Hope it helps you!!(44/25 , 42/25)
these are the points
Point A is located at (-3, 0) and is rotated 90°. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answer:
(0,-3)
Step-by-step explanation:
Rotating a point 90° from the second quadrant to the third on a (x,y) graph follows the transformation,
(x,y) → (-x,y)
help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.
Answer: (a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ft
sin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Find the distance between the points (0, 0) and (4, 0).
02
04
O √8
Answer:
4 units
Step-by-step explanation:
(0, 0 ) and (4, 0 )
since the y- coordinates are equal then the distance between the points is the difference of the x- coordinates, that is
| 4 - 0 | = | 4 | = 4 or
| 0 - 4 | = | - 4 | = | 4 | = 4
Calvin works two different jobs. He worked a total of 40 hours last week. Of the time he worked, 16 hours were spent at the
job where he makes $18 per hour. The rest of the time was spent at the job where he makes $20 per hour.
How much money did Calvin make from both jobs last week?
$288
b$480
$752
$768
Answer: 768
Step-by-step explanation:
24 times 20 =480 dollars
16 x18=288
480+288= 768
so yea D IS THE ANSWER!!!
hope thats helps :)
The force-extension data for a spring are recorded in the graph below. Assuming force is measured in newtons and
extension in meters, what is the spring constant for this spring?
∆ F/ ∆e = K
(5.4-2.1)/(1.8-0.7)= K
3.3/1.1 = K
K = 3
A bag contains eight balls labeled 1 through 8. One ball will be randomly picked. What is the probability of picking an even number?
Write your answer as a fraction in simplest form?
A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson?
Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?
\$3.00c\geq\$50.00
\$3.00c\leq\$50.00
\$3.00c=\$50.00
\$3.00c<\$50.00
\$3.00c>\$50.00
I don't know
Answer:
3c ≤ 50Step-by-step explanation:
Each card is sold by $3, the number of cards is c.
The total is 3c and it needs to be at most $50:
3c ≤ 50Is the correct inequality for this case
Let the no of cards be c
Rate per card=$3Now
The inequality is
3×c≤503c≤50Or
3.00c≤50.00Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.
Month | Family A | Family C
January | $88.82 | $134.51
February | $84.80 | $118.06
March | $62.35 | $109.28
April | $65.17 | $90.15
May | $60.20 | $91.20
June | $74.86 | $96.36
July | $92.15 | $130.71
August | $99.89 | $129.16
September | $96.45 | $107.77
October | $81.63 | $100.95
November | $64.12 | $107.64
December | $72.58 | $123.82
Answer:
The mean for Family A=78.585 , ≈78.59
Step-by-step explanation:
I solved this with a TI-84 CE calculator. To do this you press stat-edit-put in the numbers-2nd+mode-stat-right arrow key-calc-1_Var_Stats-Calculate. Then X with the _ over it would be your mean.
(Need Help ASAP (Willing to give 10 points for 1 question)
Answer:
a) -2 and 4
b) function 2
Step-by-step explanation:
a)
rate of change is rise over run: change in y / change in x.
function 1:
- i will use first 2 pairs of data
- change in y: 5 - 3 = 2
- change in x: -2 - (-1) = -1
-rate of change = 2/-1 = -2
function 2:
- same idea, but find two points on the graph!
- (0,4) and (-1,0) for example! pick easy points
- change in y is 4. chabge in x is 1
- rate of change is 4
b)
function b has greatest rate of change. 4 > -2
Students in biology class are learning about the monarch butterfly’s life cycle. Each student is given a caterpillar. When a caterpillar turns into a chrysalis, it is placed in a glass enclosed with food and a heat lamp and examined.
A. Determine whether the situation describes a survey, an experiment or an observational study.
B. identify the sample, and suggest a population from which it was selected.
Answer: observational study
Step-by-step explanation:
i think its a observational study because they are learning about somthing and to learn about it you have to study and they are given a specemin to observe to that they can study it as it grows therfore why i think the answer is C. Observational study.
Plot the data points into the calculator. Resize the window to fit the data and use the power regression function.
What is the power regression equation for these data points? Round to the nearest hundredth.
A )y = 71. 59x0. 49
B) y = 72. 49x0. 50
C) y = 73. 48x0. 51
D) y = 72. 34x0. 50
Answer:
y = 72.49x0.50
Step-by-step explanation:
2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true
plsss help :)))
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
[tex]\frac{9}{1}[/tex] ÷ [tex]-\frac{1}{3}[/tex] = [tex]\frac{9}{1}[/tex] · [tex]-\frac{3}{1}[/tex]
= -27
2. Divide both sides by 2:
2(x - 9) = -27
[tex]\frac{2(x-9)}{2} = \frac{-27}{2}[/tex]
(x - 9) = [tex]-\frac{27}{2}[/tex]
3. Add 9 to both sides:
x = [tex]-\frac{9}{2}[/tex]
(or 4.5 if you need it in decimal form)
hope this helps!
Solve x² + 11x +18=0 by factoring.
A
x = 3 or x=6
B
x=-6 or x = -3
C
x = 2 or x = 9
D
x = -9 or x = -2
⚠️‼️ HELP PLEASE GIVING POINTS
A circle has a diameter of 12 ft. What is the length of an arc intercepted by a 60° central angle?
Answer: It's 6.28319 feet
Step-by-step explanation:
A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes. Write the equation and the answer separated by a semi-colon. Included the unit in your answer. For example, d = 5m; 35 feet
Answer:
A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways
Step-by-step explanation:
Answer:
there are two different ways it can go up but it will be a ratio amount of air in the
Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number of days, dd, the family rents the boat.
A. How much does it cost, in dollars, to rent the boat for one day?
B. Create an equation using c and d to represent the proportional relationship.
A. \$$
B.
[tex]c = 15d[/tex]
Step-by-step explanation:
find the value of the constant of proportionality k
[tex]k = \frac{v}{d} [/tex]
c =total cost
d =days
What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?
Translating the triangle DEF involves moving the triangle along the coordinate plane
The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1
How to determine the y-coordinate of D'?From the figure the coordinate of D is:
D = (-2.5,5)
The rule of translation is given as:
(x, y) → (x + 6, y – 4)
So, we have:
(x, y) → (-2.5 + 6, 5 – 4)
Evaluate the sum and the difference
(x, y) → (3.5, 1)
Remove the x-coordinate
y → 1
Hence, the y-coordinate of point D after the translation is 1
Read more about translation at:
https://brainly.com/question/11468584
A circle with two chords is shown below in the figure. Find the value of x.
X
8
x+12
12
X =
A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Using the theorem of intersecting chords
[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]
The value of x is 24.
Learn more about chord of a circle here:
https://brainly.com/question/27455535
#SPJ1
brainlist for correct answer =]
Answer:
4
Step-by-step explanation:
The mode is the number that appears the most!!!!
Now lets solve :)
2, 2, 3, 3, 4, 4, 4, 4,
There are 2 2s.
There are 2 3s.
There are 4 4s.
The mode is 4!!! :)
Have an amazing day!!
Plese rate and mark brainliest!!
The mode of the data set is 4
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
Mode in math can be defined as the number which appears the most often in a given data set.Therefore, the mode of the data set is 4
LEARN MORE:https://brainly.com/question/12516571
https://brainly.com/question/22739213
KEYWORDS:value datathe most ofSsolve 2 and 6, only if you know cuz I'm stuck on this
Answer:
2. Linear Pair Prostulate
6. Transitive Property
Step-by-step explanation:
What is 20% of 350? Please explain
Answer:
70
Step-by-step explanation:
20% is the same thing as 1/5
350 times 1/5 is 70.
Answer:
70
Step-by-step explanation:
.2 * 350 = 70
Read the following description of a relationship:
The sea turtle at a zoo is 2 years older than the stingray.
Let s represent the stingray's age and t represent the turtle's age.
Complete the equation that represents the relationship between s and t.
t =
Answer:
t=2s
Step-by-step explanation:
This is saying that the turtles age is two times the stingrays age because no matter how old the stingray is, the turtle is 2 times older.
Answer: t=s+2
Step-by-step explanation:
The sea turtle is 2 years older than the stingray.
Sea turtle's age = 2 years + stingray's age.
t = s+2
The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan used 18 cups of water, how many cups of orange juice concentrate did he use?
Answer:
Order your units;
Orange Juice 1 x____________ _______ = ________, solve for x; Water 6 181/6 = x/18
×18 ×18
18/6 = x
3 = x
He will be using 3 cups of orange juice.
how many square feet of outdoor carpet will we need for this hole? 4ft 12ft 8ft 3ft
Answer:
56ft
Step-by-step explanation:
first you need to break the shape u so 1 rectangle and 2 triangles so first we need to find the area of the rectangle
Area of rectangle= w x h so 5* 8= 40
Area of triangle = .5 x b x h so 4 x 4 x .5 = 8 and since we have 2 double that and you get 16 so then you need to add it all up and u get the answer 56
plug in 3 for the equation y=-x^2+12x-20
Step-by-step explanation:
y=(-x^2)+12x-20
=(-(3)^2)+12(3)-20
=(-9)+36-20
=16-9=7
y=7
I hope it helped you
PLEASEEEEEEEEEEEEEEEEEEEE HELP MEE YALL WITH ALL 4 QUESITONS
Answer:
Step-by-step explanation:
17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.
18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.
19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).
20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.
Hope this helps! :)