Of the 650 juniors at Jefferson High School, 468 are enrolled in Algebra II, 292 are enrolled in
Physics, and 180 are taking both courses at the same time. If one of the 650 juniors was picked
at random, what is the probability they are taking Physics, if we know they are in Algebra II
(Physics given AII)? Round to the nearest hundredth.
Answer:
0.38
Step-by-step explanation:
Simplify The Expression 12g + 3 - g^2 + 2 g=4
Given:
\(12g+3-g^2+2\)Where, g = 4
To simplify the expression, substitute g for 4 and evaluate.
We have:
\(\begin{gathered} 12g+3-g^2+2 \\ \\ 12(4)+3-4^2+2 \\ \\ 48+3-16+2 \\ \\ 51-16+2 \\ \\ =37 \end{gathered}\)ANSWER:
37
ill mark brainlist plss help
ABCD is a parallelogram. Find each measure.
1- m<B
2- AD
Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer to the nearest cent.)
$ X
Amount Needed Frequency Rate Time
A n r t
————————————————————————
$85,000 quaterly 1,4 % 5 yr
The amount of the periodic payment necessary for the deposit to a sinking fund is approximately $18,065.19.
To find the amount of the periodic payment necessary for the deposit to a sinking fund, we can use the formula for the future value of an ordinary annuity. The formula is:
X = A * (1 + r)^nt / [(1 + r)^nt - 1]
Where:
X is the amount needed
A is the periodic payment
r is the interest rate per period
n is the number of compounding periods per year
t is the total number of years
Given the information:
Amount Needed (X) = $85,000
Frequency: Quarterly
Rate (r) = 1.4% (or 0.014 as a decimal)
Time (t) = 5 years
Since the frequency is quarterly, the number of compounding periods per year (n) is 4.
Substituting the values into the formula:
$85,000 = A * (1 + 0.014)^(4*5) / [(1 + 0.014)^(4*5) - 1]
Simplifying the equation:
$85,000 = A * (1.014)^20 / [(1.014)^20 - 1]
To find the value of A, we can rearrange the equation:
A = $85,000 * [(1.014)^20 - 1] / (1.014)^20
Using a calculator or spreadsheet, we can calculate the value of A.
A ≈ $85,000 * 0.298 / 1.350
A ≈ $18,065.19
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What type of slope is shown?
Answer:
Negative
Step-by-step explanation:
It going down starting from the left to right . Positive would be the other way around and zero would be side to side while undefined would be an up and down line .
The first row of a theater has 16 seats. There are 3 more seats in each row thereafter. How many seats are in the 25th row/
Answer: 88
Step-by-step explanation:
Given
The first row has 16 seats
then there are 3 more seats in each row
this follows an AP with the first term \(a=16\) and common difference \(d=3\)
So, no of seats in the 25 th row is
\(\Rightarrow a_{25}=a+24d\\\Rightarrow a_{25}=16+3\times 24\\\Rightarrow a_{25}=88\)
Thus, there are 88 seats in the 25 th row
Triangle abc is defined by the points a(2,9), b(8,4), and c(-3,-2). Complete the following equation for a line passing through point c and perpendicular ab. Y = x +.
When triangle ABC is defined by the coordinates a(2,9), b(8,4), and c, the equation for the line is 5y=6x+8 (-3,-2).
What is equation of line?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each side.
Here,
A=(2,9)
B=(8,4)
C=(-3,-2)
The slope of line AB,
m=(y2-y1)/(x2-x1)
=(4-9)/(8-2)
=-5/6
Slope of line perpendicular to AB,
m1=-1/m
=-1/(-5/6)
=6/5
This line pass through (-3,-2).
y=mx+c
-2=6/5*(-3)+c
c=-2+18/5
c=8/5
The equation of line,
y=6/5x+8/5
5y=6x+8
The equation of line is 5y=6x+8 when triangle ABC is defined by the points a(2,9), b(8,4), and c(-3,-2).
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Convert 2 5/8 to a decimal
Answer:
2.625
Step-by-step explanation:
First convert mixed fraction to improper fraction,
=> 21/8
Then by normal division you will get,
=> 2.625
What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
Find a geometric power series for the function, centered at 0, by the following methods. f(x) = 1 / (9+x)
by long division
The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).
Explain (9 - x) / ((9 + x) * (9 - x))?To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:
f(x) = 1 / (9 + x)
To begin the long division process, we divide 1 by 9 + x:
1 ÷ (9 + x)
To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:
1 * (9 - x) / ((9 + x) * (9 - x))
Simplifying further:
(9 - x) / (81 - x^2)
Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:
(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)
We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:
(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))
Now, we can express the function f(x) as a geometric power series:
f(x) = (9 - x) / ((9 + x)(9 - x))
f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))
f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))
f(x) = (9 - x) / ((9 + x) * (9 - x))
f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))
The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).
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3x^2-12x-15 what’s the minimum value ?
the answer to your math question is (−2,−27)
Answer:
(-2,-27)
Step-by-step explanation:
use the formula
x = b/2a
to find the maximum and minimum
a quiz has 25 questions every correct answer scores 3 points Each incorrect answer loses 2 points. A question not answered scored 0 points. a student answers 15 questions 10 are correct how many points does he have?
Answer:
20
Step-by-step explanation:
10x3=30
5x-2=-10
10x0=0
30-10=20
20 points
If each sample uses 16 bits and the number of samples taken each second is 8000; then the transmission speed on the circuit is
The transmission speed of the circuit cannot be calculated without knowing the number of channels. The formula requires the number of channels in addition to the number of samples per second and the number of bits per sample.
We can use the following formula to calculate the transmission speed of the circuit.
Bandwidth = (Number of samples per second) × (Number of bits per sample)
Transmission speed = Bandwidth × Number of channels.
The given number of bits per sample is 16 and the number of samples taken each second is 8000.
Transmission speed = Bandwidth × Number of channels
Transmission speed = (Number of samples per second) × (Number of bits per sample) × Number of channels
The transmission speed on the circuit is calculated by multiplying the number of samples per second by the number of bits per sample and the number of channels.
However, the number of channels is not provided. So, we cannot calculate the transmission speed of the circuit.
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simplify using surds √5(√10+2)
According to unknown sources, the answer is around; 11.54...
Solve the system by elimination.
{y= 16x+44
{y= -x^2 +8x+28
Answer:
x= -4, y= -20
Step-by-step explanation:
y= 16x+44
(y= -x²+8x+28) * (-1)
multiply both sides by -1
y= 16x+44
-y= x²-8x-28
add the equations to eliminate y
y-y= x²+16x-8x+44-28
0= x² +8x +16 this is the same with (x+4)²=0 so x= -4
go back to the first equation and substitute x with -4 and solve for y
y= 16*(-4) +44 = -64+44 = -20
Al repartir pastelitos entre 7 niños cada uno le tocaron un pastelito completo y 3/7 de otro cuanto pastelitos reparto?
Answer: 10 magdalenas
espero que esto ayude
Can someone please help me with ASAP. I need to do this by tonight thx.
Which equation represents a parabola with focus (3,8)
A. y=1/4(x-3)^2-9
B. y= 4(x+3)^2-8
C. y=1/4(x-3)^2-10
D. 4(x+2)^2+7
also please don't be a bot or a person who says " I don't know" its not helpful
Answer: C
Step-by-step explanation:
If a parabola is given by \(a(x - h)^2 + k\), the focus is at the point \((h, k + 1/4a)\).
We know the focus is \((3, 8)\), so it should look like \(a(x - 3)^2 + k\). We can cross off B and D.
Let's check if A works: \(8 = -9 + 1/(4 \cdot \frac 14) = -8\). Obviously this is false, so we can cross off A.
Thus it's C by process of elimination.
Help me please!!! …..
Answer:
7/25= 14/50 3/10= 15/50 common denominator: 50 so, 7/25 < 3/10
witch number is 1.2 and 1.4 on the number line
Answer:
What numbers are 1.2 and 1.4 on the number line? Huh?
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
Integrate (x^2+1)/(x+1) dx
Answer:
me puedes explicar más
If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.
Answer:
y = 16
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = \(\frac{k}{x}\)
To find k use the condition y = 14 when x = 8, thus
14 = \(\frac{k}{8}\) ( multiply both sides by 8 )
112 = k
y = \(\frac{112}{x}\) ← equation of variation
When x = 7, then
y = \(\frac{112}{7}\) = 16
What is the formula for the expected value or mean probability?
Where f(x) is the probability density function of X. In both cases, the expected value represents the average outcome or value that can be expected over many trials or observations.
The formula for the expected value or mean probability is a long answer that depends on the specific situation or probability distribution being analyzed.
In general, the expected value is calculated by multiplying each possible outcome by its corresponding probability and then summing these products together.
For discrete probability distributions, this formula can be written as:
E(X) = Σ(x * P(X=x))
Where X is the random variable, x is a possible outcome, and P(X=x) is the probability of X taking on the value x.
For continuous probability distributions, the formula is similar, but involves integration instead of summation:
E(X) = ∫(x * f(x)) dx
Where f(x) is the probability density function of X. In both cases, the expected value represents the average outcome or value that can be expected over many trials or observations.
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I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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1. which is the product of these numbers, to the appropriate number of significant digits? 56.2 × 9.2057 = a. 517 b. 517.4 c. 517.36 d. 517.00
The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.
The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.
In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.
Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.
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plz answer for brainliest and 30 points!
fake answers will be reported
thank u!
pls give an explanation :)
Step-by-step explanation:
we have,
general term = 2(1/2)^n-1
Now,
7th term (t7)= 2(1/2)^7-1
= 2(1/2)^6
=2(1/64)
=2/64
=1/32 #
Ans. = 1/32
A box of 15 cookies costs $9.
MY
What is the cost for 1 cookie?
Answer: $0.6
Step-by-step explanation:
15cookies= $9
1 cookie = x
Cross multiply
15x= 9
Divide both sides by 15
x= 9/15= 3/5= $0.6
Which expressions are equivalent to a b/c
Answers:
\(\sqrt[c]{a^b}\)
\((\sqrt[c]{a})^b\)
Answer:
first 1 last 1 third 1 and forth 1
Step-by-step explanation: