Answer: Upper right corner (northeast corner)
x-3y = 15
===================================================
Explanation:
The y intercept always occurs when x = 0.
If we plug x = 0 into 2x+y = -10 (northwest corner), then we solve for y to get...
2x+y = -10
2(0)+y = -10
0+y = -10
y = -10
We see that the y intercept here is -10, but we want -5 instead. So we can rule this out.
In the northeast corner, plugging x = 0 leads to,
x-3y = 15
0-3y = 15
-3y = 15
y = 15/(-3)
y = -5
We get the correct y intercept we're after. So we can stop here.
If you plugged x = 0 into the equation of the southwest corner, you'll get y = 5 which is fairly close but not quite what we want. The southeast corner equation leads to a y intercept of y = 5 as well.
Answer:
x - 3y = 15
Step-by-step explanation:
x - 3y = 15
-3y = -x + 15
y = 1/3x - 5
-5 is the y-intercept.
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
Answer:
0.75
Step-by-step explanation:
Given :
mean = 42000
Standard deviation = 24000
score, x = 60000
The Zscore :
Zscore = (score - mean) / standard deviation
(60000 - 42000) / 24000
18000 / 24000
= 0.75
which numbers chart follows the rule add 7
Una botella de agua de medio decimetro cubico se llena en 35 segundos .Con el mismo flujo de agua,¿En cuantos minutos se llenaria una garrafa de 4.5 litros?
Answer:
5,250 minutes
Step-by-step explanation:
0.5 cubic Centimeter = 0.0005 liter
So, 4.5 liters = 4,500 cubic Centimeter
Time required for 0.5 cubic Centimeter = 35 seconds
So, we can calculate the total time required by using following formula
Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter
So, Total time required = (35 seconds ×2 ) × 4,500
= 70 × 4,500
= 315,000 seconds
= 5,250 minutes
HELP ME PLZ PLZ PLZ PLZ I WILL LOVE U FOREVER PLZ HELP ME
Answer:
0.5 or 1/2
Step-by-step explanation:
each number is half of the bigger triangle. so the answer should be half or 0.5.
EX: 48 x 0.5 = 24
Please help me answer
Answer:
Step-by-step explanation:
the circumference you make it using the diameter , pi times ( 3.142 times)
C = 13* 3.142 = 40.846
About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)
Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec
Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
pls help me and show your work
Answer:
Solution given:
[tex]4\frac{2}{3}÷7[/tex]
=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]
=[tex]\frac{14}{3*7}[/tex]
=[tex]\frac{2}{3}[/tex] is a required answer.
Can someone help with this
Answer:
20
Step-by-step explanation:
A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.
Answer:
[tex]l=238\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Area of Rectangle A=6183
Equation of Length
[tex]l=9w-14[/tex]
Where
[tex]w=width\ of\ triangle[/tex]
Generally the equation for Area of Rectangle is mathematically given by
[tex]A=(9w-14)w[/tex]
[tex]A=9w^2-14w[/tex]
[tex]6183=9w^2-14w[/tex]
[tex]9w^2-14w-6183=0[/tex]
[tex]w=28[/tex]
Therefore
[tex]l=9(28)-14[/tex]
[tex]l=238\ yards[/tex]
During which time interval is the squirrel traveling at the fastest speed?
1–2 min
2–3 min
5–6 min
8–9 min
What is the value of this expression? 6 (24÷ 3) - 2
Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.
Which one is the correct answer
Answer:
ans is 3x2 ln x is a option correct
Solve for x. Round to the nearest tenth.
Answer:
22.8
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x[/tex]
Using the figure show, find the missing values. Round each value. Every time I put this up people get it wrong
Answer:
I'm sorry, I can help you with only this one :( ∠F = 44°
Step-by-step explanation:
∠F = 180° - (46° + 90°) = 44°
I need helppp pls I’m confused
Answer:
30 ft²
Step-by-step explanation:
Area of a paralleogram formula:
A = bh
A = (6)(2)
A = 12
Area of a rectangle:
A = bh
A = 6(3)
A = 18
Combined:
12 + 18
30
Find the GCF of the expression 24a^7 +18a^5+12a^3
Answer:
the correct answer is 6a³
Answer:
6a³
Step-by-step explanation:
First find the GCF of the numbers, which is the easy part...
The largest number that 24, 18, and 12 can all be divided by is 6.
So 6 is the first part of the GCF.
Now for the variable...
The smallest exponent in an instance of the variable is 3.
So a³ is the variable part.
GCF: 6a³
Joelle's homework covers multiplication with powers of 1010 . The first question on her homework is 32.4\ \times10^232.4 ×10 2 . What is the value of the expression?
Answer:
103.424
Step-by-step explanation:
Answer:
The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.
Step-by-step explanation:
What is the missing number in the pattern below?1, 4, 2, ______, 3
Help please it will mean so much thanks ❤️
Answer:
y = 14
Step-by-step explanation:
y = x^2 -5x
Let x =7
y = 7^2 -5*7
y = 49- 35
y = 14
OMG last one please help
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!
Answer:
V≈ 863.27 in³
Step-by-step explanation:
ASAP
-WILL MARK BRIANIST
Answer:
The answer is 699...............
Answer:
699
Step-by-step explanation:
First replace the value k to 12.
So our new expression will be:
3+(71-13) times 12
You first do the Parentheses so substract 71 minus 13 which gives you 58 then multiply 58 times 12 which gives you 696 then add 3 to it and you get 699.
Find the value of x. Help fast me need help
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.
A question "I" made.
Answer:
41.67%
Step-by-step explanation:
:)
Akash draws a 4 from ten cards numbered 1 through 10. He replaces the card. Then Ramesh draws a 7. What is the probability of getting a 4 and a 7?
Answer:
1/100
Step-by-step explanation:
P(4 then 7) = 1/10 x 1/10
60% of the books on a bookshelf are english books. If there are 35 english books on the bookshelf, find the number of the books in the book shelf
Answer: 58 books
Step-by-step explanation:
There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.
Denoting the total number as x, the total number is:
35 = 60% * x
x = 35 / 60%
= 58 books
the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq
Answer:
The side length of the larger square is 32
Step-by-step explanation:
Its 32 because the side lengths for the small square are 8 because 8 by 8 is 64. Multiply 8 by 4 which is 32.
Answer:
The side length of the larger frame is 128 inches.
Step-by-step explanation:
64 × 4 = 256
256 ÷ 2 = 128
What are the new coordinates of point R after polygon QXYZR is rotated 180° and translated 3 units left?
A) (-6,2)
B) (0,-2)
C) (6,-2)
D) (3,-2)
Answer: c
Step-by-step explanation: