Answer:
x^2+y^2=256
Step-by-step explanation:
The general formula for a circle is (x - h)^2 + (y - k)^2 = r^2; where (h , k).
Thus, (x - 0)^2 + (y - 0)^2 = (16)^2 is x^2 + y^2 = 256
Add.
2+(-5)
Enter your answer in the box.
Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, A for asparagus, B for bacon, E for eggs, V for vinaigrette, and F for French. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, asparagus. Also, you will add one of following meats: bacon, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, French.,
Answer:
Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
Step-by-step explanation:
Sample space is a set that contains all the possible outcomes for an event.
For salad:
Choices for extra toppings (mushrooms, olives) =2
Choices for meats (bacon, eggs) =2
Choices for dressings (vinaigrette, honey mustard.)= 2
By Fundamental counting principal .
The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)
= 2 x 2 x 2 = 8
All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)
Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
David invested $350 in an account paying an interest rate of 3 % compounded
continuously. Jack invested $350 in an account paying an interest rate of 3%
compounded quarterly. After 5 years, how much more money would David have in
his account than Jack, to the nearest dollar?
Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
Learn more about compound interest here: brainly.com/question/25857212
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Anybody? need help asap
Answer:
K=2h
k=0.5h
k=h + 1
k= 0.5h + 10
what are 2 different ways to find 12 -3?
Answer:
Way 1: Determine "what" plus 3 equals 12
Way 2: Regularly take away 3 from 12
Step-by-step explanation:
[1] Let's see if I am correct, shall we?
[tex]n+3=12[/tex]
Subtract 3 from both sides giving you...
[tex]n=9[/tex]
--
[2] Let's see if I am correct, shall we?
[tex]12-3=n[/tex]
Take away 3 from 12 which gives you...
[tex]9=n[/tex]
Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answer:
3 3/5
Step-by-step explanation:
what is the answer to this problem: 7+y-x−x?
Answer:
7+y-2x
Step-by-step explanation:
-2 is the answer to this question
Example # 12: The probability that Mary can work a problem is 70%.
Find the probability that Mary cannot work the problem.
HELP PLEASE!!!
Answer:
the answer is 30% hope this helps you
Answer:
30%
Step-by-step explanation:
The two outcomes (can work the problem and can't work the problem) are complementary.
In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive.
Complementary events are two outcomes of an event that are the only two possible outcomes.
Complementary outcomes add to 1 or 100%.
100 - 70 = 30.
There is a 1 in 8 chance of a player winning a game. Which value is equivalent to the chance
of the player winning a game?
F
100
125
G
125
10
H 1.25
J 0.125
The value which is equivalent to the 1 in 8 chance of the player winning a game is Choice J: 0.125.
The question statement implies that the probability of a player winning a game is 1 in 8.
We must know that the probability of an event occuring can be expressed as any choice of real numbers. However, the probability must ultimately not be more than 1 upon evaluation.
For choice F:
The expression 100/125 = 0.8 which is not equivalent to 1 in 8.For choice G:
The expression 125/10 = 12.5 which is not equivalent to 1 in 8.For choice H:
The expression 1.25 is more than 1, therefore, it is obviously not equivalent to 1 in 8.For Choice J:
The expression 0.125 is equivalent to 1 in 8 because 1/8 = 0.125.Read more:
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graph the equation
y=-2x+1
Start by plotting the y-intercept at (0,1).
From that point, count "up 2, right 1" to get a second point on your graph.
If needed repeat that "up 2, right 1" from that second point to get a third point.
Draw the line that connects these 2 or 3 points.
Which of the following values of x would not be in the domain of the function defined by f(x) = x-2/x+3?
Answer:
x = 7 is not there in the domain of the function.
Step-by-step explanation:
The value of x = -3 would not be in the domain of the function
We have the following information available from the question is:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Determine the values of x would not be in the domain of the function
Now, According to the question:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Let the denominator equal to zero: x + 3 = 0
Rearrange unknown terms to the left side of the equation.
x + 3 = 0
x = -3
Hence, The value of x = -3 would not be in the domain of the function.
Learn more about Function at:
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<3 is a supplement of <2 and m<3= 76* Find m<2
Answer:
m < 2 = 104°
Step-by-step explanation:
Given that < 3 is a supplement of < 2, and that m < 3 = 76°, then:
To find the measure of m < 2, all you need to do is subtract the m < 3 from 180°.
m < 2 = 180° - m < 3
m < 2 = 180° - 76°
m < 2 = 104°
Evaluate.
-18.6
-18.6
-1
Enter your answer in the box.
Answer:
18.6
Step-by-step explanation:
[tex] \frac{ - 18.6}{ - 1} = 18.6[/tex]
please mark this answer as brainlist
HELP FASTT THIS IS DUE TODAY
Answer:
45in & 87in^2
Step-by-step explanation:
W = 7*2.5in=17.5in
L = 2*2.5in=5in
Perimeter = 2(L+W)
2(5in+17.5in)
45in
Area = L*W
17.5in*5in=87in^2
Remember, Perimeter is linear while area is squared.
show the steps and name the properties you used to solve the equation below
log3=log2-log(3x+7)
Ps. if you just try to get points I will have your answer removed which takes away the points
Answer:
0.477121=−log(3x+7)+0.30103
Step 1: Flip the equation.
−log(3x+7)+0.30103=0.477121
Step 2: Add -0.30103 to both sides.
−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103
−log(3x+7)=0.176091
Step 3: Divide both sides by -1.
log(3x+7)=−0.176091
Step 4: Solve Logarithm.
log(3x+7)=−0.176091
10log(3x+7)=10−0.176091
3x+7=0.666667
3x+7−7=0.666667−7(Subtract 7 from both sides)
3x=−6.333333
3x
3
=
−6.333333
3
(Divide both sides by 3)
x=−2.111111
Step-by-step explanation:hope this helps
What is the value of n?
n/73=8.76
Answer:
n=639.48
Step-by-step explanation:
Answer:
639.48
Step-by-step explanation:
A 10 2/3 inch long pipc is cut into 8 equal length pieces. How long is each piece?
Answer:
⠀
Step-by-step explanation:
What is the y-coordinate of the plotted point?
Answer:
(3,2)
Step-by-step explanation:
run before you jump
look at the photo and try to answer please
Convert 56∘F to ∘C.
Round to one decimal place and do not include units in your answer.
What formula are you using I'm using the one below so hopefully you're able to utilize this.
C = (F-32) ÷ 1.8
C = (56-32) ÷ 1.8
C = ( 24 ) ÷ 1.8
C = 13.3333333
Rounding one decimal place (tenths)
C = 13.3
How do you get 7:46
Find the range of possible values of x satisfying:
-5 < 2x – 1 < 8
Answer:
-2 ,9/2
Step-by-step explanation:
Please help please help please help please help
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
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Sho.w Boo and Press
Answer:
Halloween
Step-by-step explanation:
What is the equation of this line?
y=3/4x+2
y=4/3x−2
y=3/4x−2
y=−3/4x−2
Answer:
We need the picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where's the line?
Select the vector along wich a translation of the plane would map point A to its image T (A)
Answer:
a
Step-by-step explanation:
it is a thanks
Simplify.
1 - 4x + 3+ - 1 + 2
Enter your answer in the box.
Do not use decimals in your answer.
Basic
>
7
00
9
х
у
x2
vo
4
5
6
х
x=
XH
Answer:
4x + 4
Step-by-step explanation:
di ako sure pero i tried
Answer:
1/4 - 4x
Step-by-step explanation:
hope this helped
what is the answer of 42 x 598 estimate
What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?
Answer:
a
Step-by-step explanation:
hope it works out for you
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Marina can make 36 cupcakes in 45 minutes. how long will it take for her to make 108 cupcakes
Answer:
135 minutes
Step-by-step explanation:
marina can make 1 cupcake in 1,25 minutes so to make 108 cupcakes , marina need : 108.1,25 = 135 minutes