Answer:
4x +3y = -3
Step-by-step explanation:
The standard form equation can be written from ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(-13 -3)x -(9 -(-3))y = (-16)(-3) -(12)(3)
-16x -12y = 12
The standard form has a positive leading coefficient, and all terms mutually prime. We can get that by dividing the equation by -4:
4x +3y = -3
_____
Additional comment
The form we used above for the equation of the line essentially comes from the fact that the slope of a line is the same everywhere:
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1)
Multiplying by the product of denominators and separating variable terms from constant terms gives the form used above.
John bought 2.5 kg of corn flour. He used 500g of it to make bread. What percentage of corn flour was left?
Answer:
75%
Step-by-step explanation:
2.5 kilograms=2500 grams
2500-500=2000g to find the percent you devide 500/2500 then you get the percentage that was taken away so to find the percentage that was left you minus the 25 percent from 100 which gives you the answer which is 75%
The angles in a triangle are such that the measure of one angle is twice the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles, in degrees.
Answer:
the smallest angle are 30 degree
Step-by-step explanation:
let x is the angle of triangle
x+2x+3x=180
6x=180
6x/6=180/6
x=30 degree
2x=60 degree
3x=90degree
2.Which side describes a quadrilateral
a. 4-sided polygon
b. 3-sided polygon
c. 2-sided polygon
Answer:
Simple, 4 sided polygon
Step-by-step explanation:
Here is the vocabulary:
A quadrilateral is a 4 sided shape, the prefix "quad" is meaning 4
Ex: Squares, Rhombus, Rectangles
A Triangle is a 3 sided polygon. The prefix "tri" means 3 like a tricycle.
Ex: Equilateral, Scalene, Isosceles, or right triangles
2 sided polygon is a digon that isn't used lots in basic geometry. The prefix di means 2.
Ex: Few examples but a common one is digon.
Question 5
An investment of $45 earns 20% interest compounded annually for 3 years. How much is to worth?
O $90.90
O $77.76
O $9.83
O $113.73
Answer:
$77.76
Step-by-step explanation:
The future value formula is useful:
FV = P(1 +r)^t
FV = $45(1.20^3) = $45·1.728 = $77.76
Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books are
similar in weight, about how much does each book weigh?
Btw the answers not 2 lbs bc 2lb x 6 = 10 lbs and it needs to equal 4 lbs.
Answer:
[tex]\frac{2}{3}[/tex] lbs per book
Step-by-step explanation:
We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.
4 lbs / 6 books = [tex]\frac{4/2}{6/2}=\frac{2}{3}[/tex] lbs
Each book weighs [tex]\frac{2}{3}[/tex] lbs
2/3 is equal to about 0.667
Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.
What is the square root method? your own explained in words
Answer:
The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts. Suppose, x is the square root of y, then it is represented as x=√y or we can express the same equation as x2 = y. Here,'√'is the radical symbol used to represent the root of numbers.
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answer:
b=0.7(3) The 3 in the parentheses means the 3 repeats forever
Step-by-step explanation:
If you simplify the sides, it will equal -1.5b=3b-3.3. This means that 4.5b=3.3. This means that b=0.7(3). The 3 will repeat forever.
Hopefully the explanation and the answer helps you!
If y varies inversely as x and y = 12. When x=20. What is y when x is 15?
Pls help
Answer:
[tex]y = 0.04[/tex]
Step-by-step explanation:
[tex]y[/tex] ∝ [tex]\frac{k}{x}[/tex] (k is a constant we need)
[tex]12 = \frac{k}{20}[/tex]
[tex]k = 0.6[/tex]
[tex]y = \frac{0.6}{15}[/tex]
[tex]y=0.04[/tex]
can someone please help me on my math please
Answer:
The answer is 112
Step-by-step explanation:
Area= base + base divided by 2 times height.
So 12+16 divided by 2 times 8.
What is 2 5/7 ·48+2 2/7 ·48? Please help!!!
9514 1404 393
Answer:
240
Step-by-step explanation:
Your calculator can tell you the answer.
__
If you're doing this by hand, it can be convenient to combine the multipliers of 48:
(2 5/7)·48 +(2 2/7)·48 = (2 5/7 +2 2/7)·48 = ((2+2) +(5/7+2/7))·48
= (4 +7/7)·48 = 5·48 = 240
A right cylinder has radius of 5 cm and a height of 3 cm
Answer the following questions and make sure to show all your work
(a) Find the surface Area of cylinder.
Answer:
251.33cm³
Step-by-step explanation:
take pie as 22/7
surface area = 2π r h + 2π r²
2×22/7×5×3 + 2×22/7×5²
44/7×15 + 44/7×25
660/7 + 1100/7
660 + 1100 all over 7
= 1760/7
251.33cm³ Or 251.43cm³
18. Which student had the highest score?
Pls answer fast I will mark you brainliest
Answer:
Yes your answer is E with a total score of 89
which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population? NO LINKS!!!
a. 99%
b. 80%
c. 95%
d. 90%
Explanation:
The larger the confidence level, the wider the confidence interval gets. Choice A provides the largest such confidence level.
It's like trying to catch an elusive fish. The wider the net, the more confident that you are likely to catch the fish. The size of the net can be a sort of measure of the confidence level.
The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.
Option A is the correct answer.
What is a confidence interval?A confidence interval is a statistical range that is used to estimate the true value of an unknown population parameter, such as a population means or proportion, based on a sample from that population.
The confidence interval provides a range of values that is likely to contain the true population parameter with a certain degree of confidence, which is typically expressed as a percentage.
We have,
The wider the interval, the lower the precision of the estimate, and the higher the confidence level, the wider the interval.
Therefore,
The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.
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13% VAT is levied on the service provided by a company. If the VAT amount is Rs. 260, find the service charge without VAT.
(Ans: Rs. 2,000)
please solve my problems.
The service charge without the VAT is Rs. 2000.
What is the service charge?VAT means value added tax. It is a form of tax levied on goods and services. Taxes are compulsory amounts or percentages that is levied on certain goods and services. Taxes increase the price of products.
Service charge = VAT / percentage VAT
260 / 13%
260 / 0.13 = Rs. 2000
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Photos and videos have become an important part of the online social experience, with more than half of Internet users posting photos or videos online that they have taken themselves. Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves. A research center finds that P(A) = 0.44, P(B) = 0.26, and P(A or B) = 0.50.
Required:
Make a Venn diagram showing the events {A and B}, {A and not B}, {B and not A}, and {neither A nor B}.
Answer:
{A and B} = 0.20
{A and not B} = 0.24
{B and not A} = 0.06
{neither A nor B} = 0.50
Step-by-step explanation:
Given the following :
P(A) = 0.44
P(B) = 0.26
P(A or B) = 0.50.
{A and B} = 0.20
{A and not B} = 0.24
{B and not A} = 0.06
{neither A nor B} = 0.50
Kindly check attached picture for detailed explanation
The population of a certain bacteria colony can be modeled by the functionf(x)=x^2 , where x is the number of hours after the colony started. What will the population of the bacteria colony be after 12 hours?
Answer:
The answer is 24
Step-by-step explanation:
Since the population after x hours is 2x, then after 12 hours, we'll substitute x = 12 into the function.
The population becomes 2 x 12 = 24
Select the correct answer.
Solve the equation by completing the square.
0=x^2-14x+46
Answer:
[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\mathrm{Switch\:sides}[/tex]
[tex]x^2-14x+46=0[/tex]
[tex]\mathrm{Solve\;wit\;Quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}[/tex]
[tex]\sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}=2\sqrt{3}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{3}}{2\cdot \:1}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-\left(-14\right)+2\sqrt{3}}{2\cdot \:1},\:x_2=\frac{-\left(-14\right)-2\sqrt{3}}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]
~Lenvy~
Suppose that you have a data set of starting salaries and you find an average starting salary of $47,222 with a standard deviation of $6,528. There are 33 observations. What is the (estimated) standard error? Do not include a dollar sign and answer to two decimal places.
50 people went to a play.
3/5 of the people stayed to the end.
How many people left?
The number of people left out of 50 will be 20.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 50 people went to a play [tex]\dfrac{3}{5}[/tex] of the people stayed to the end.
The number of people stays is calculated as:-
[tex]\rm\ N = 50 \times \dfrac{3}{5}[/tex]
N = 10 x 3
N = 30
The number of people left is calculated as:-
⇒ 50 - 30
⇒20
Therefore, the number of people left out of 50 will be 20.
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Use the image above to solve for the
missing angle
3)
106
A) 140°
B) 106
C) 130
D) 85
Use the estimates to help you choose each correct answer. 14.8(20.7) = Estimate: 15(20) = 300 1.1(9.8) = Estimate: 1(10) = 10 72.5(4.9) = Estimate: 70(5) = 350
Answer:
1st 306.36 2nd 10.78 3rd 355.25
Step-by-step explanation:
bc i just skipped and it showed me the answers
What is the volume of the solid figure?
The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.
A.
625 in3
B.
750 in3
C.
800 in3
D.
1,250 in3
Answer:
A:
625 in3 I think
ok so I think coz I'm in 4rth
Given the information in the diagram below, what is the measure of LBEC?
Answer: angle BEC = 43 degrees
Step-by-step explanation:
Straight angle = 180 degrees
75 + 62 = 137
180 - 137 = 43
A bird sits on the branch of a tree, then starts to fly. The height of the bird is described by the function. y=0.6sin(pix/12)+35 where y represents the height of the bird measured in meters, and x represents the number of seconds since the bird left the branch.
Which function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters?
Answer:
The answer is letter A
Step-by-step explanation:
One notebook sells for 89 cents Mary can buy a package of 12 notebooks for $9.60 how much money can Mary save on each notebook if she buys a package of 12
Answer:
One notebook = $18.50
One pen= $1.10
18.50+1.10= $19.60
2) We must first set up an algebraic expression
total=15 pencils
total=9 pens
The total amount is the price of one pencil*15
To figure out one pencil:
10 pencils is $24
1 pencil is $2.40
Total= $36
9 pens = 36
Therefore 1 pen is $4
Step-by-step explanation:
1) We need to set up an algebraic expression to solve this problem:
Let n= cost of a notepad
Let p= cost of a pen
First set up an expression for Cynthia's purchase:
cost of notepads*number of notepads + cost of pens*number of pens = total cost
n*2 + p*3 = 40.30
Rewrite as:
2n + 3p = 40.30
Next, set up an expression for Annie's purchase:
Here we will be using the same variables
Again:
cost of notepads*number of notepads + cost of pens*number of pens = total cost
n*3 + p*5 = 61
Rewrite as:
3n + 5p =61
Now, set up a system of equations:
2n + 3p = 40.30
3n + 5p =61
A system of equations can be solved several ways, here I will use the addition/elimination method
For this method one of the variables must be able to be eliminated
Step 1: Pick a variable to eliminate
Here I will eliminate n
Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together
(2n + 3p = 40.30)(-3)
(3n + 5p =61)(2)
-6n - 9p = -120.90
6n + 10p = 122
Step 3: add vertically
-6n - 9p = -120.90
6n + 10p = 122
p = 1.10
Step 4: Figure out the other variable by inputting the answer you just got back into the original equation
2n + 3(1.10) = 40.30
2n + 3.30 = 40.30
-3.30 37
2n = 37
/2 /2
n = 18.5
Translate the sentence into an equation:
three is 5 more than a number
Answer:
3=x+5
Step-by-step explanation:
Answer:
x + 5 = 3
Step-by-step explanation:
"Three is 5 more than a number."
The word is indicates that 3 is the final number, or rather, what the equation equals.
Then, 5 more than a number, shows the rest of your equation. A number is just your variable, so any letter. We'll use X. Then, it says that the answer (3) is 5 more than x. So, your equation is:
x + 5 = 3
if 2 newborn rabbits are put in a pen.How many rabbits will be in a pen in 1 year?
Answer:
It depends on the gender of those 2 newborn rabbits
Step-by-step explanation:
It seems that the answer is anywhere between 130 and 150
Can someone help please l
Answer:
x = 10
Step-by-step explanation:
DE = EF, GE = GE, m∠D = m∠F = 90°
so
ΔDGE = ΔFGE
then
3x + 8 = 5x - 12
3x - 5x = -12 - 8
-2x = -20
2x = 20
x = 10
Step-by-step explanation:
Since DE=FE, we know GE is angle bisectors of angle G.
Thus, set those two expressions equal to each other.
3x+8= 5x-12
20=2x
x=10
is it always true that (x+4) squared equals x squared plus 16?
Answer:
True
Step-by-step explanation:
(x + 4)² = (x + 4) (x + 4)
x² + 4² = x² + 16
Hello.
No, (x+4)² doesn't equal x²+16.
Let's see why.
Remember that
x times x = x²
4 times 4 = 4²=16
So it seems like (x+4)² is equal to x²+16.
However,
(x+4)²≠x²+16.
Well, what IS that equal to?
Turns out that
(x+4)² is equal to x² + twice the product of x and 4 +16 (!)
(x+4)²=x²+2*4*x+4²
(x+4)²=x²+8x+16
Therefore, (x+4)²=x²+8x+16.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA. 5x2−7x+1=0
Answer:
Step-by-step explanation:
a = 5, b = -7 c = 1
[tex]x=\frac{-b\pm\sqrt{{b^2-4ac}}}{2a}\\=\frac{-(-7)\pm\sqrt{{(-7)^2-4(5)(1)}}}{2(5)}\\\\=\frac{{7}\pm\sqrt{{49-20}}}{10}\\\\\\=\frac{{7}\pm\sqrt{{29}}}{10}\\\\[/tex]
so
[tex]x_1=\frac{7+\sqrt{29}}{10}\\x_2=\frac{7-\sqrt{29}}{10}[/tex]