Answer:
Hello
y=(x+1)/12 +1
Step-by-step explanation:
[tex]\text{As the directrice is horizontal:}\\\\\\y=-2 ==> k=-2\\\\Focus=(a,b)=(-1,4)\\\\\boxed{y=\dfrac{x-a}{2(b-k)} +\dfrac{b+k}{2} }\\\\\\y=\dfrac{x+1}{2(4+2)} +\dfrac{4-2}{2} }\\\\\boxed{y=\dfrac{x+1}{12} +1}\\[/tex]
10.5125 rounded to the nearest cent plz help me ty <3
Answer: your answer should be 10.5130
Step-by-step explanation:
Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?
Answer:
1.9 poundsStep-by-step explanation:
To solve this divide the amount of sugar by the number of dollars:
19 pounds / 10 dollars = 1.9 pounds per dollarPer 10dollar she brought=19pounds
Per dollar
[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]
Write in decimals[tex]\\ \sf\longmapsto 1.9pounds[/tex]
What is the trigonometric ratio for sin C?
Enter your answer, as a simplified fraction,
In the boxes.
==========================================================
Explanation:
We have a triangle with these three sides.
a = 80b = unknownc = 82Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
Find the midpoint of the segment with the given endpoints.
(3,- 9) and (4, -8)
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]
Solve: 9y+1 = 32y+1 + 54
Answer:
9y+1=32y+1+54
collect like terms, a symbol changes once it crosses the equal to sign =
9y-32y=1+54-1
-23y=54
divide both sides by -23
-23y/-23=54/-23
-23 will cancel -23 to give y
y=54/-23
y=-2.4 or 2 whole number 8/23
Answer: y is -54/23
Step-by-step explanation:
3. What is the length of LM?
Answer:
24[tex]\sqrt{3}[/tex]
Step-by-step explanation:
KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a
|KL| is given as 48 so 2a = 48 and a = 24
ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]
since a = 24
a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]
b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.
Step-by-step explanation:
you can check the answer by putting 5 on the place of B... you will get the lateral surface area
118 m²...
hope it helps
HELP FAST 100 POINTS
Calculate the perimeter of parallelogram ABCD. Show all work.
Answer:
Hello,
Step-by-step explanation:
[tex]|AD|^2=(3-(-1))^2+(0-(-1))^2=16+1=17\\\\|AB|^2=1^2+3^2=10\\\\\boxed{Perimeter=2*\sqrt{17} +2*\sqrt{10}}[/tex]
Answer:
2*√10 + 2*√17
Step-by-step explanation:
In order to find the perimeter we must find the length of each side
To find the length of the sides we must use the distance formula
Distance formula:
d = √ ( x2 - x1 )² + ( y2 - y1 )²
Where the x and y values are derived from the points of each side
First let's find the length of AB
Coordinates of A: (-1,-1)
Coordinates of B: (0,2)
* Define variables *
( Remember coordinates are written as (x,y))
x1 = -1
x2 = 0
y1 = -1
y2 = 2
Now to find the length of AB we simply plug in the values of x and y into the distance formula
d = √ ( x2 - x1 )² + ( y2 - y1 )²
x1 = -1, x2 = 0, y1 = -1, y2 = 2
* Plug in values *
d = √(0 - (-1))² + (2 - (-1))
If there are two negative signs in front of a number then the two negative signs cancel out and the sign changes to +
d = √(0+1)² + (2+1)²
Simplify addition
d = √(1)² + (3)²
Apply exponents
d = √1 + 9
Simplify addition
d = √10
So the length of AB is √10
One of the properties of a parallelogram is that the opposite sides are congruent.
So the opposite side of AB (CD) is also equal to √10
Next we need find the length of AD
We use the same process we used for finding the length of AB
Coordinates of A: (-1,-1)
Coordinates of D: (3,0)
*Define variables*
x1 = -1
x2 = 3
y1 = -1
y2 = 0
Plug in the values of x and y into the formula ( formula is d = √ ( x2 - x1 )² + ( y2 - y1 )² )
*Plug in the values of x and y )
d = √( -1 - 3 )² + ( 0 - (-1)²
Simplify subtraction and addition
d = √(-4)² + (1)²
Apply exponents
d = √16 + 1
Add
d = √17
So the length of AD is √17
Like stated previously opposite sides in a parallelogram are congruent so the opposite side of AD (BC) also has a length of √17
Now to find the perimeter,
The perimeter is the sum of the side lengths
Side lengths of the parallelogram shown:
AB = √10
BC = √17
CD = √10
DA = √17
Perimeter = √10 + √17 + √10 + √17 = 2*√10 + 2*√17
Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12
Answer:
r÷12
Step-by-step explanation:
quotient means division
r÷12
Please look at picture and answer question with full explanation
Answers:
44 small cartons176 medium cartons44 large cartons3256 eggs in total=========================================================
Explanation:
1/6 of the total number of cartons are small. We have 264 total cartons, so,
1/6 of 264 = (1/6)*264 = 44
We need 44 small cartons.
---------------
2/3 of the total cartons are medium, so,
2/3 of 264 = (2/3)*264 = 176
There are 176 medium cartons.
---------------
So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.
This must mean there are 264 - 220 = 44 large cartons
---------------
Now because:
A small carton holds 8 eggsA medium carton holds 12 eggsA large carton holds 18 eggsand
There are 44 small cartonsThere are 176 medium cartonsThere are 44 large cartonsThis means we have
8*44 = 352 eggs from just the small cartons12*176 = 2112 eggs from just the medium cartons18*44 = 792 eggs from just the large cartonsUltimately, we have 352+2112+792 = 3256 eggs in total.
In a competition, four of the participants have completed their performances. Their scores are 9.61, 9.66, 9.64, and 9.60. The highest score wins. Which score will enable the last participant to win the competition?
9.67
9.65
9.62
9.06
For some reason, the scores your teacher gave you and the answer choices don't match up. I'm not sure why this is. Perhaps some kind of typo. Please double check and get back to me.
If f(x) = -5x – 4 and g(x) = -3x -2, find (f+g)(x).
Answer:
-8x -6
Step-by-step explanation:
f(x) = -5x – 4
g(x) = -3x -2
(f+g)(x) = -5x – 4 + -3x -2
Combine like terms
= -8x -6
A school made $880 from ticket sales for the school play. From the ticket sales, $250 were from adult tickets.
Student tickets are $5 each. How many students attended the play?
Answer:
126 Students
Step-by-step explanation:
First, you subtract the money from the adult tickets from the total ($880), that leaves $630.
Since each student ticket is $5, you divide $630 by 5, which equals 126.
So, 126 students attended.
Answer:
126
by-step explanation:
880 is that amount made in total.
250 were adults.
we can subtract that to simplify; 880-250= 630
Knowing that information we can assume the rest of the tickets are students.
5$ each.
5/620
How many 5s go into 630? 126.
Check your answer by multiplying 126 by 5, which = 630.
630+250=880.
The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?
A
{x+y≥24xy<60
B
{x+y>24xy<60
C
{x+y≥24xy<60
D
{x+y>24xy<60
Answer:
A
Step-by-step explanation:
The sum means +, 24 or greater means ≥ 24
The product means multiplying. less than 60 means < 60
I don't really know how else to explain, so if you still don't understand, sorry.
I hope this helps!
pls ❤ and mark brainliest pls!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
B
Step-by-step explanation:
we have a formula of volume:
V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08
Find the standarddeviation of 125, 136, 150, 119, 150, and 143.
Answer:
S.D=46.04
Step-by-step explanation:
steps are in the picture.
If you have question about it you can ask.Thanks
Help anyone can help me do the question,I will mark brainlest.
Answer:
<ADC=90
therefore AC= 20 using Pytagoras
BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²
3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.
10. I purchased a hair-dryer for 5,400 including 8% VAT. Find the price before VAT was added.
Answer:
4968
Step-by-step explanation:
432 is 8% of 5400 and after deducting 432 we get 4968.
Find the slope of the line that passes through the points (2, 1) and (-1,-1).
Answer:
slope is ⅔
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1}}{x _{2} - x_{1} } \\ \\ = \frac{ - 1 - 1}{ - 1 - 2} \\ \\ = \frac{ - 2}{ - 3} \\ \\ = \frac{2}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
We can us the slope formula
m = ( y2-y1)/(x2-x1)
= (-1 -1)/(-1 -2)
= -2 / -3
= 2/3
PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
9514 1404 393
Answer:
Jacob: 4his mother: 39Step-by-step explanation:
Let J and M represent the current ages of Jacob and his Mother.
currently:
M = 3 +9J
in 11 years:
M+11 = 5 +3(J+11)
Using the first equation to substitute for M in the second, we have ...
(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M
9J +14 = 3J +38 . . . . . . simplify
6J + 24 . . . . . . . . . . subtract 3J+14
J = 4 . . . . . . . . . . divide by 6
M = 3 +9(4) = 39
Jacob is 4 and his mother is 39.
Help please, would be much appreciated
If SP = Rs 100 and CP = Rs 800 find profit %.
Answer:
c
Step-by-step explanation:
4. Which of the following is true?
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer football?
Answer:
.14
Step-by-step explanation:
The relative frequency that favors football is around 0.14, or 14%.
Given that Phoebe took a survey of her classmates' favorite sport.
We need to find the relative frequency of survey members who prefer football,
Preferred sports =
Football baseball basketball tennis others total
4 5 8 7 4 28
To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.
According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.
Relative Frequency = Number of people who prefer football / Total number of respondents
= 4 / 28
≈ 0.14
Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.
To know about frequency distribution, here
brainly.com/question/1094036
#SPJ4
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that more than 1 of these parts are defective.
Using the binomial distribution, it is found that:
0.3677 = 36.77% probability that more than 1 of these parts are defective.
-----------------
For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of a success.
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.
This means that [tex]p = 0.18[/tex]
A random sample of 7 parts produced by this machine is chosen.
This means that [tex]n = 7[/tex]
Find the probability that more than 1 of these parts are defective.
This is:
[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]
In which
[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]
[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]
Then
[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]
[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]
0.3677 = 36.77% probability that more than 1 of these parts are defective.
For more on the binomial probability distribution, you can check https://brainly.com/question/15557838
Please help I have no idea
Answer:
38
Step-by-step explanation:
Put 2 in place of q
(34+18×2)-(5^2+7)
(34+36)-(25+7)
70-32=38
On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.
Find the mean travel time for these students.
4, 11, 14, 9, 4, 8
HELPPPPP PLEWSE POINT SLOPE FORMULA
Answer:
y = -3/4(x+4)
Step-by-step explanation:
The point slope formula is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = -3/4(x - -4)
y = -3/4(x+4)
Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}
Answer:
The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)
you add them then divide by 22 since it has 22 terms, to find the mean
Answer:
use a calculator and add all values and divide by 22
u et final value as ( as per me not sure..maybe mistake) is
493.6/22 and ans Is 22.4363636364
