Answer:
B. (-1, 13) and (3, 5)Step-by-step explanation:
Solve by elimination:
x² - 4x + 8 = -2x + 11x² - 2x = 3x² - 2x + 1 = 4(x - 1)² = 2²x - 1 = 2 ⇒ x = 3x - 1 = -2 ⇒ x = -1Find values of y:
y = -2(3) + 11 = 5y = -2(-1) + 11 = 13The pairs are:
(3, 5) and (-1, 13)Correct choice is B
Find the length of the third side. If necessary, write in simplest radical form.
Let the third side be x :
( 3√5 )^2 = 6^2 + x^2
45 = 36 + x^2
x^2 = 45 - 36
x^2 = 9
x = 3
final question of the 9 and with most of the point i can give so people dont pour in
Answer:
A=49 degree
a=13.5
b=11.7
Step-by-step explanation:
Brianne earns $20 for 4 hours of babysitting. Which graph shows the relationship between the number of hours and the total amount she earns?
Answer:
Can you insert a picture? and then I could help you.
Step-by-step explanation:
Answer:
Brianne would earn 5 dollars an hour so the graph should look something like this.
i dont really know how to do this can somebody help?
Answer:
(8, 11π/6)
Step-by-step explanation:
r= √(4√3)²+(-4)² = √48+16=√64=8
0 = tan~¹ -4/(4√3)
= tan~¹ -⅓√3 = 330° = 11π/6
the polar coord. => (8, 11π/6)
9514 1404 393
Answer:
8∠11π/6
Step-by-step explanation:
To simplify the way we talk of this number, we will refer to it as a vector. We'll assume its head is at the given coordinates, and its tail is at the origin. The magnitude of the vector is the root of the sum of the squares of its components:
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(4\sqrt{3})^2+(-4)^2}=\sqrt{48+16}=\sqrt{64}\\\\r=8[/tex]
The angle of the vector with respect to the +x axis is ...
[tex]\theta=\arctan{\dfrac{y}{x}}\qquad\text{a 4-quadrant arctangent}\\\\\theta=\arctan{\dfrac{-4}{4\sqrt{3}}}=-\arctan{\dfrac{1}{\sqrt{3}}}\qquad\text{a 4th-quadrant angle}\\\\\theta=\dfrac{11\pi}{6}[/tex]
In magnitude∠angle notation, the polar coordinates are ...
(4√3, -4) ⇔ 8∠(11π/6) . . . . . θ in radians
_____
Additional comment
Spreadsheets generally have an ATAN2(x, y) function that will return a 4-quadrant version of the angle. The usual ATAN( ) function will give the angle only in quadrants I or IV.
Some graphing calculators may also have the ATAN2 function. Some will simply do the entire conversion for you, without any need to deal separately with magnitude and angle. (You may need to write the number as a complex number, x +iy.)
What the correct answer
Its ‘B’
100% sure
Plz mark me brainliest
The sales tax rate is 10%. If Kamal buys a gold ring priced at $391, how much tax will he
pay?
Round your answer to the nearest dollar: $
Answer: $39
Step-by-step explanation: Actual answer is $39.1 but I rounded down
find the exact value of cos A in simplest radical form
Answer:
cosA = 1/2
Step-by-step explanation:
cos = adj/hyp
cosA = 5 /10
cosA = 1/2
15 POINTS. Ronna is estimating the amount of a 15% tip for a $20.36 bill. Her friend Suri said that $2 is a good estimate. Do you agree? Explain.
Hi
It's not a good estimation. 2 is 10% of 20, so 5% is 1 dollar.
As the bill is above 20, and 15 = 10+5 , so 15% is at least more than 3.
So 3 would be a better estimation.
In fact, 15% of 20.36 is : 20.36 *0.15 = 3.054
The equation of a function
y = 2/3x+1/3 find the value of y
when x = -3
when x = 1 1/2
Answer:
[tex]y = \frac{-5}{3}\\\\y = \frac {4}{3}[/tex]
Step-by-step explanation:
[tex]y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\[/tex]
Express cos K as a fraction in simplest terms
Answer:
Step-by-step explanation:
You don't need to solve for IJ so don't.
Cos(J) = adjacent / hypotenuse
adjacent = 5
hypotenuse = 23
Cos(J) = 5/23
which triangles are similar?
Answer:
triangle a and b
Step-by-step explanation:
because its common knowledge
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. Suppose that we take a random sample of 10 Florida State students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is
Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that [tex]\mu = 1200, \sigma = 900[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.
Calculation of mean & standard deviation:Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.
So here the mean should be $1,200
And, the standard deviation should be
[tex]= 900 \div \sqrt10[/tex]
= $284.6
learn more about mean here: https://brainly.com/question/9588526
What is the perimeter of a square whose area is 64 square kilometers?
.
A 16 km
B.32 km
c. 64 km
D.256 km
In 15–20, write the number positioned at each point.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.
To learn more on Number System click:
https://brainly.com/question/19532363
#SPJ1
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...
Answer:
Decimal:
100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625
Fraction:
[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]
Solve the equation 4sqrt(3m ^ 2 - 15) = 4
Answer:
See the image below:)
Step-by-step explanation:
I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.
Answer: c on edge ;)
Step-by-step explanation:
Suppose that 11 inches of wire costs 44cents.
At the same rate, how many inches of wire can be bought for 24 cents?
we can bought 6 inches of wire which costs 24 cents
Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?
Answer:
34 i belive not 100% sure but what grade level is this
Step-by-step explanation:
what's the answer for this question
Answers:
A) 125 cm^3C) 20*1000 + 6*100 + 7======================================
Explanations:
The cube has all sides the same length (even if the diagram may not look like it). The volume is V = length*width*height = 5*5*5 = 125 cubic cm. The answer is choice A.The number is 20,607. The "20 thousand" portion can be written into 20*1000. Effectively, we have 20 copies of "1000" being added, so we can shorthand that into multiplication. The same idea applies to 6*100 which represents 600. Overall we can say 20,607 = 20*1000+6*100+7. The answer is choice C.2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly?
Answer:
Step-by-step explanation:
Guss
The following data set shows the times a product failed in a series of tests. What is the range of this data set? {16, 12, 19, 15, 12, 15, 14, 18, 11, 10, 19, 10}
A 9
B 10
C 15
D 19
Answer:
9
Step-by-step explanation:
Highest number is 19 lowest is 10. 19-10 is 9.
I REALLY NEED HELP WITH THIS!!!! I NEVER LEARNED THIS BEFORE!!!!! HEELLLPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
just is
Answer:
C
Step-by-step explanation:
5/6 + 1/12 need the same denominator.
(5/6) * 2
10/12 + 1/12
11/12
This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.
Have a great day! Hope I helped!
Solve
3w - 4z = 8
2w + 3z = -6
A) w = -2
z = -2
B) w = -2
z = 0
C) w = 0
z = 2
D) w = 0
z = -2
Answer:
D
Step-by-step explanation:
Multiplying the first equation by 2 yields 6w - 8z = 16.
Multiplying the second equation by 3 yields 6w + 9z = -18.
Subtracting the two equations gives -17z = 34, and thus z = -2.
Substituting this back into the first equation gives that 3w+8=8, and thus w=0.
if 5,4 and 15 and x are in proportion find the value of x
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
Kelly Slater and Andy Irons are in a surf competition among 10 competitors.
If all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place
2nd? Write your answer as a simplified fraction.
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
How can we represent three-dimensional figures in only two dimensions?
Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.
If two expressions have the same factor or base. What happens to the exponents when the expression are dividing
Answer:
whats the question tho?
Step-by-step explanation: