Answer:
The equation of the axis of symmetry for this parabola is x = 0.
Step-by-step explanation:
For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.
Now, the vertex is given as (0,3) which is at x = 0, y = 3.
Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.
how are u supposed to find the area only with the circumference?
Answer:
We can find the radius from circumference and then area
Circumference(C) = 2πr
r = C/2π
r = 20/2π
r = 10/π
Area = πr²
Area = π × 10/π × 10/π
Area = 100/π
Area = 100/3.14
Area = 10000/314 = 31.84 cm² (approx)
Area = 32 cm² (Rounding to nearest whole number)
Answer:
32 m²
Step-by-step explanation:
We need to work out the area of the flower garden when we are given the circumference. First we need to know the formula's for area of circle and circumference of circle which are
→ Area of a circle = π × r² where 'r' is the radius
→ Circumference of a circle = 2 × π × r where 'r' is the radius
So we need to form an equation with the circumference of a circle formula and work out the radius in order to find the area so,
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
2 × π × r = 20
→ Substitute 3.14 for π
2 × 3.14 × r = 20
→ Simplify
6.28 × r = 20
→ Divide both sides by 6.28 to isolate 'r'
r = 3.18471338
So now we now the radius of the circle we can substitute the radius into the area of circle formula
Area = π × r²
→ Substitute 3.14 for π and r for 3.18471338
Area = 3.14 × 3.18471338²
Area = 31.847133842
To the nearest whole number your answer is 32 m²
Please help me ASAP and I have more so PLEASE
The answer is B part
As the requirement for the student is either a senior or one who studies maths or both.
So, just add the values within the two venn circles divide it by total no of values.
=> 240+40+110/240+40+110+840
=> 360/1200
Answer:
B
Step-by-step explanation:
840 people aren't senior or don't takes math.
210 + 40 = 250 are seniors
110 + 40 = 150 people take math
In this class has 840 + 210 + 40 + 110 = 1200 people => All
210 + 40 + 110 = 360 people are seniors or take math. => P( S U M)
Probabilty that a randomly selected student is a senior or takes math =>[tex]\frac{P(S U M)}{All}[/tex]
[tex]\frac{P(S U M)}{All} = \frac{360}{1200}[/tex]
Hope this helps ^-^
Paul has 27 pet cats. 14 of them are short-haired. 11 of them are kittens. 5 of them are long haired adult cats. How many of them are short haired kittens?
What is the probability that I will choose a cat owner and a bird owner. Please help. Thanks
Answer:
The probability is 1/36.
Step-by-step explanation:
2/3 are dog owners
1/6 are cat owners
1/6 are bird owners
If you choose two owners, there is a 1/6 chance that you will choose a cat owner and a 1/6 chance you will choose a bird owner. Each of these are independent, so you simply multiply 1/6 by 1/6.
1/6 * 1/6= 1/36
If 5 adult movie tickets cost $25, how much do 11 tickets cost?
Answer:
$55
Step-by-step explanation:
5 tickets = $25
1 ticket = $5 (divide by 5 on both sides)
multiply by 11
11 tickets = 5 ×11
11 tickets = $55
How do you simplify [tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{8} + \sqrt{6} }[/tex]?
The trick is to exploit the difference of squares formula,
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
[tex](\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2[/tex]
Whatever you do to the denominator, you have to do to the numerator too. So
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2[/tex]
Expand the numerator:
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}[/tex]
So we have
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2[/tex]
But √12 = √(3•4) = 2√3, so
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}[/tex]
Solve for b.
-3b = 9 - 4b
B=
Answer:
b=9
Step-by-step explanation:
move the 4b over to the other side by adding it to both sides
[tex]-3b(+4b)=9-4b(+4b)[/tex]
[tex]1b=9[/tex]
Write this number in scientific notation.
0.0000071=
Answer:
7,1 × 10-⁶
Step-by-step explanation:
Once you move the comma 1 time by right (,) you have -1, so by moving it six times, you have 7,1 × 10-⁶
Rewrite the following equation in logarithmic form.
0.25 = 2^-2
Rewrite the following equation in exponential form.
log8 (512) = 3
Answer:
log2(0.25) = -2
512 = 8^3
Step-by-step explanation:
Use of formula: loga (b) = c ⇔ b = a^cRewrite the following equation in logarithmic form. 0.25 = 2^-2
log2(0.25) = -2Rewrite the following equation in exponential form. log8 (512) = 3
512 = 8^3Which expression can be used to convert 22 Australian dollars to US dollars
Answer: 22 AUD x 1.2USD / 1AUD
Step-by-step explanation: The expression would be like this: 22 Australian dollars/1.2 (value of Australian dollars to US dollars) = X US dollars/1 We would get the value of x by multiplying 1 to 22 then divide it by 1.2 and we would get the US conversion from it. We could also put the expression 22=1.2x directly and we would get the US conversion from it.
How do I do Radicals?
Answer:
For online calculators you can type sqrt() or just sqrt and it will do it for you
Answer:
See belowStep-by-step explanation:
To simplify radicals that are not perfect squares, we need a new method.
Example: [tex]\sqrt{27}[/tex]
27 is not a perfect square square the square root cannot be used.
[tex]\sqrt{27} = 5.19615242271[/tex]
To solve this, we need to break down the radical into simpler parts.
[tex]\sqrt{27} = \sqrt{3} * \sqrt{9}[/tex]
[tex]\sqrt{9} = 3[/tex]
[tex]\sqrt{3}[/tex] cannot be simplified
[tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Good luck on your test!
I'm always happy to help :)
What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)
Answer:
(x + 9)(x - 7)
Step-by-step explanation:
We want to factorize [tex]x^2 + 2x - 63[/tex]
We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:
[tex]x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)[/tex]
The complete factorization is (x + 9)(x - 7)
The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).
What is the factored form of the expression?Given the expression in the question:
x² + 2x - 63
To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.
This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.
x² + 2x - 63
Now, find a pair of integers whose sum equals 2,
and whose product equals -63.
We use integers 9 and -7.
Next, rewrite the quadratic expression using these factors:
(x + 9)(x - 7)
Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).
Option C) (x + 9)(x - 7) is the correct answer.
Learn more about factorization here: brainly.com/question/20293447
#SPJ6
Suppose x varies inversely with y and y varies inversely with z. How does x vary with z? Justify your answer algebraically
Answer:
x varies inversly inversly with z,
so it Maries linearly.
x to y and then to a can be expressed as
x = m/y
y = n/z
so we can say
x = m/(n/z) = m/n * z
m & n could be any constant numbers, like 5 or 3.7
Here is an example where both are just one:
x = 1/y
y = 1/z
so we can say
x = 1/(1/z) = 1/1 * z
(would really, really appreciate the brainliest)
What value of z makes the following equation true?
−3z+3=35
Answer:
-10 2/3Step-by-step explanation:
Given
−3z+3=35Solving for z:
-3z = 35 - 3-3z = 32z = 32/-3z = -10 2/3PLEASE HELP!!
Which of the following is statements is TRUE about the figure.
A. △ABC~ △DFE by AA Similarity Theorem
B. △ABC~ △DFE by ASA Similarity Theorem
C. △ABC~ △DFE by SSS Similarity Theorem
D. △ABC~ △DFE by SAS Similarity Theorem
E. There is not enough information provided
Answer:C
Step-by-step explanation:There is definitely enough info.
And there are no angles so it has to be SSS~ (It's dilated by 1.5 by the way)
x - x equals ?............
Answer:
0
Step-by-step explanation:
if x stade for any number like 5 then it will be 5-5=0
hope this helps you out need more help ask me
Given find M for MON
Answer:
∠ MON = 15°
Step-by-step explanation:
∠ LOM + ∠ MON = ∠ LON, substitute values
9x + 44 + 6x + 3 = 77, that is
15x + 47 = 77 ( subtract 47 from both sides )
15x = 30 ( divide both sides by 15 )
x = 2
Thus
∠ MON = 6x + 3 = 6(2) + 3 = 12 + 3 = 15°
Given that events A and B are independent with P(A)=0.24P(A)=0.24 and P(B|A)=0.85P(B∣A)=0.85, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.
Answer:
P(B) = 0.85
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
[tex]P(A) = 0.24, P(B|A) = 0.85[/tex]
These events are independent.
This means that [tex]P(A \cap B) = P(A)*P(B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B|A) = \frac{P(A)*P(B)}{P(A)}[/tex]
[tex]P(B|A) = P(B)[/tex]
So
[tex]P(B) = 0.85[/tex]
Create your own equation
Answer:
45+20=65
21+33=54
90+10=100
100+30= 130
Step-by-step explanation:
45+20=65
Doesn't belong as it has an odd numbered answer where as all the others have even answers
HOPE THIS HELPS
Can anybody help me solve this? You must solve for X first.
(Click in picture for full image)
Answer:
45 degrees
Step-by-step explanation:
angle QRS is same as (2x + 3) because it is an isosceles triangle
so, 90 + (2x+3) + (2x+3) =180 degrees
2x+3 +2x+3=180-90
2x+2x +3+3=90
4x+6=90
4x=90-6
4x=84
x=84/4
x=21
substitute x=21 in (2x+3)
2*21+3=45
Ms. Donaldson earns $19.20 per hour for the first 40 hours she works in a week. She earns 1 1/2 times that amount per hour for each hour she works beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. a) How much money did she earn last week? b) A health insurance payment of $34.75 was deducted from Ms. Donaldson's earnings for the week. After the insurance deduction, payroll taxes equal to 32% of the balance were deducted. What was the amount that Ms. Donaldson received?
Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
correct expression equivalent to 9-(3-6x)
Answer:
6 + 6x
Step-by-step explanation:
9 - (3-6x) = 9 - 3 - (-6x)
= (9-3) +6x
= 6 + 6x
1) expand the bracket
2) group like terms together
3) simplify to form expression
A bag contains yellow marbles and blue marbles, 23 in total. The number of yellow marbles is 7 less than 2 times the number of blue marbles. How many yellow marbles are there? Please help its due really soon!
Answer:
b=10, a=13
Step-by-step explanation:
let s number of yellow = a
number of blue = b
we have
a+b =23
2b - a = 7
->a+b +2b -a = 23+7
-> 3b = 30
->b = 10
->a = 13
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive. Which function best models the data?
A) y = 9,958(0.972)^x
B) y = 0.972(9,958)^x
C) y = 9,219x– 150
D) y = –150x + 9,219
Answer:a
Step-by-step explanation:
Answer:
It is A, y = 9,958(0.972)x
Step-by-step explanation:
I’m just confused on how to find the equation with the quadratic function given.
option b is the correct answer
Label each point on the number line with the correct value. Click each dot on the image to select an answer. Choices
Answer:
You might need to repost or edit this question - there are no choices or picture.
Answer:
There are no choices.
Step-by-step explanation:
What is the solution set to the equation x^2=-1
Answer:
Step-by-step explanation:
For example, if your money earns an 8 percent interest rate, it will triple in 14 years and 5 months (115 divided by 8 equals 14.4). If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).
2 mil 20 yd = ____ yd
Answer:
3540
Step-by-step explanation:
There are 3520 yards in two miles and 1760 in one mile you multiply 1760 by 2 then add 20
I need help with this question please.
Answer:
work is shown and pictured
Write the composite number for each prime factorization. You may wish to use a calculator.
5) 22 x 3 x 52
6) 2x32x7
7) 33 x 5
8) 2 x 53
Only one of those is actually a prime factorization. Demand better from your teacher. Anyway, I think they're just asking us to take out the calculator and enter the multiplication into it.
5) 22 isn't prime, neither is 52. Answer: 3432
6) 32 isn't prime. Answer: 448
7) 33 isn't prime. Answer: 165
8) Finally a real prime factorization. Answer: 106