Answer:
.11965
Step-by-step explanation:
Interest Rate = (Simple Interest × 100)/(Principal × Time).
7.65= 999(6.4)(r)
7.65/6393.6= 0.0011965
Convert the rate into a percentage by multiplying by 100
0.0011965*100= 0.11965%
Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2what is the correct Answer?!
Answer:
B
Step-by-step explanation:
2⁶
2³
2⁶
2³
then add the ⁶+³+⁶+³ =18
2¹⁸
ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.
7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?
Question 3 options:
7+18n
18+7n
18+7(n−1)
7+18(n−1)
Answer:
7+18n
might be the answer sorry if I am wrong
how many roots does the following equation have? x5+x4+x3+x2+x=0?
Step-by-step explanation:
it has only 1 root
Mark me brainliest.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.
1.45÷8= 5.6250 -5.625------- example
4.93÷9 = _____ - ______
2. 77÷9 = _____ - ______
5.88 ÷7= _____ - ______
3.81÷7= _____ - ______
6.55÷8=_____ - ______
sorry if the numbers is a bit confusing
The responses for the quotient given to the nearest thousandths are
presented in the order of the of the questions as follows;
[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]
[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Reasons:
4. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]
Given that we have;
[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]
2. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
5. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]
[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
3. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
6. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Learn more here:
https://brainly.com/question/17913153
YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?
Answer:
To find the rate of change you use the formula, Y2-Y1/X2-X1.
Function A:
You can substitute in any two points. The points I will use are (0,0) and (1,1).
1-0/1-0
1/1
1
The rate of change for Function A is 1.
Function B:
The points I will use are (2,1) and (4,2).
2-1/4-2
1/2
The rate of change for Function B is 1/2.
Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.
Hope this helps! :)
What number is furthest from 0 on a number line? 16 or 18?
please help with statistic 20
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993The algebraic form of an with no solution is?
1. a = a
2. x = a
3. a = b
Which one is the answer?
Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels? Round your answer to the nearest hundredth.
Thank You!!!
Answer:
Using formula to calculate the circumference of wheel:
where
D is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
As per the statement:
Lin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
then by definition:
meter
Therefore, the circumference of her wheel is, 1 9/11
Step-by-step explanation:
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
Finding slope from tables and
Answer:
m=-5/2 b=2
Step-by-step explanation:
It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2
Which of the following represents a single replacement reaction?
Select one:
a.
AB + C --> AC + B
b.
A + B --> AB
c.
AB + CD --> AC + BD
d.
A - B --> AB
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?
Answer:
8.4 pontos
Step-by-step explanation:
4.2/5
multiplique o numerador e o denominador por 2
8.4/10
Work out Sarah's total pay for the last week
Answer:
190
Step-by-step explanation:
Attached picture...
Would you rather receive $10,000 a day for 31 days or a penny that doubles in value every day for 31 days?
How much money would you have at the end of 31 days if you chose the $10,000 per day?
How much money would you have at the end of 31 days if you chose to double the penny every day?
How much would you have at the end of 15 days if you chose to double the penny every day?
Someone pls help me
This shows how much you would make per day for both choices.
Total earned in 31 days for $10,000 per day: $310,000
Explanation
$10,000 every day in 31 days.
Total earned in 31 days for penny: 21,474,836.47
Explanation:
Day 1: $0.01
Day 2: $0.02
Day 3: $0.04
Day 4: $0.08
Day 5: $0.16
Day 6: $0.32
Day 7: $0.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
Day 31: $10,737,418.24
show me how to do the work please
[tex]\large\boxed{\mathsf{\dfrac{x}{-4}\leq 12}}\\\\\large\text{MULTIPLY -4 to BOTH SIDES}\\\\\large\boxed{\mathsf{-4\times -\dfrac{1}{4}x \leq -4 \times 12}}\\\\\large\text{CANCEL out: }\rm{-4 \times-\dfrac{1}{4}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{-4\times 12}\large\text{ because it helps solve for what is being compared to the }\\\large\text{x-value}\\\\\large\text{NEW EQUATION: }\rm{x \geq\ -4 \times 12}\\\\\large\text{SIMPLIFY IT}\uparrow[/tex][tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{x\geq-48}}}\huge\checkmark[/tex]
[tex]\large\boxed{\mathsf{It\ is\ an\ CLOSED\ circle\ shaded\ to\ the\ right}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If A(2, 3) and B(-4, -6), find AB.--
[tex] \huge \bf༆ Answer ༄[/tex]
The distance between points can be solved using Distance formula (similar to Pythagoras theorem)
[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]
Put the values : -
[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex][tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex][tex] \sf D = \sqrt{36 + 81} [/tex][tex] \sf D = \sqrt{117} [/tex][tex] \sf D = 3 \sqrt{13} [/tex]Distance between the points = 3√13 units
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Answer:
If you are trying to find the line, simply use a graph.
Step-by-step explanation:
A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
Guided Practice
Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.
Identify the quadratic term in the function.
f(x)=2x^2−3x+5
Answer:
2x^2
Step-by-step explanation:
Q:
identify the quadratic term in the function f(x)=2x^2-3x+5
A:
The quadratic term is 2x^2.
Answer:
2x2-3x-5=0
Step-by-step explanation:
(2x2 - 3x) - 5 = 0
Answer:
The quadratic term in the function is
Step-by-step explanation:
Given : Function
To find : Identify the quadratic term in the function ?
Solution :
The quadratic form of the function is
Where, is quadratic term.
On comparing with given function,
is the quadratic term.
Therefore, the quadratic term in the function is
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
-2x^3+5x^2-3x-12 for x=2
Thank you.
-14
plug in #2 in the spots with an x
good luck :)
what is the solution to the system of equations
please help me with this math problem
Step-by-step explanation:
the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.
So the equation you will get is
[tex]a(x) = \frac{50}{x} + 5[/tex]
Answer:
A(x)= (50/x)+5
Step-by-step explanation:
50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.
Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.
Answer:
2500
Step-by-step explanation:
2475 stamps is 99% of her original number of stamps.
SO,
[tex]2475 \div 99\% = 2500[/tex]
She originally had 2500 stamps
5 peppers for $5.50 how much is each
Answer:
$1.10
Step-by-step explanation:
5.50 divided by 5, take a way the decimal in order to divide. 550/5=110
55 divided by 5 is 11 just add a zero
What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.
Answer:
14
Step-by-step explanation:
58, 47, 36, 25,. ?
Each term is 11 less than the preceding term
the term after 25 will be
25 - 11 = 14
Please help me solve this problem ASAP!
Answer:
im pretty sure the answer is 90°
Ms. Baranek buys trophies for field day each trophie cost $3.95 she pays $138.25 for all the trophies how many trophies does ms baranek buy
Answer:
34 trophies
Step-by-step explanation:
1348.25/3.95 = 34.24
Answer:
35
Step-by-step explanation:
138.25 / 3.95 will give you 35
