x -5 -3 3 5
f(x)*g(x) -2000 -392 784 4000 shows the values of the combined function determined by finding the product of f(x) and g(x).
What is a combined function?
An algebraic combination of two functions, such as sum, difference, product, or quotient, is known as a combined function.
(f+g)(x) = f(x) + g(x)
(f−g)(x) = f(x) - g(x)
(f⋅g)(x) = f(x) * g(x)
(f÷g)(x) = f(x)/g(x)
What is the Domain of a combined function?
The intersection of the domains of the combined functions represents the domain of a combined function.
Here,
To find each value of the combined function determined by finding the product of f(x) and g(x) and see which table contains them.
for x = -5 we have:
f(x) = 200
g(x) = -10
Then the product is:
f(x) * g(x) = -2000
for x = -3 we have:
f(x) = 56
g(x) = -7
Then the product is:
f(x) * g(x) = -392
for x = 3 we have:
f(x) = 56
g(x) = 14
Then the product is:
f(x) * g(x) = 784
for x = 5 we have:
f(x) = 200
g(x) = 20
Then the product is:
f(x) * g(x) = 4000
Hence, x -5 -3 3 5
f(x)*g(x) -2000 -392 784 4000 shows the values of the combined function determined by finding the product of f(x) and g(x).
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Answer:
A.
Step-by-step explanation:
:)
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
which problom can we solve with 60 devided by 6
Answer:
10
explanation:
60 divided by 6 equals 10, you could just use the division symbol, which is a slash, as we did above. The easiest way we found to answer the question "what 60 divided by 6 means", is to answer the question with a question: How many times does 6 go into 60?
Answer:
10
Step-by-step explanation:
Prove: ACD≅△BCD.
URGENT HELP NEEDED
Answer:
Down Here.
Step-by-step explanation:
Ok, let's try it this way.
Step 2:
Statement: CD = CD
Reason: Reflexive property
The sides are shared so they are equal
Step 3:
Statement: ∠ACD ≅ ∠BCD
Reason: Def. of angle bisector
Step 4:
Statement: ΔACD≅ΔBCD
Reason: SAS
-Chetan K
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population. Find the mean and
standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population.
The number of DVDs rented by each of three families in the past month is 2, 11, and 5. Use a sample size of 2
The correct comparison of the population and sampling distribution is A. Means are the same but the standard deviation of sampling distribution is smaller
How to find the mean and standard deviationX X^2
95 9025
96 9216
98 9604
Sum = 289 27845
n 3
The sample mean 96.33333333 SUM/n
Population mean 96.33333333 SUM/n
Sample standard dev \(1.527525232 \sqrt{((1/(n-1))(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population standard dev \(1.247219129 \sqrt{((1/n)(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population Mean(μ) = 96.33
Population standard deviation (σ) = 1.25
Option A) 95,96,98 and X bar = 96.33
Sampling distribution :
mean (μx = μ) = 96.33
standard deviation(σx = σ/SQRT(n)) = 1.25/SQRT(3) = 0.72
Option A) Means are the same but the standard deviation of the sampling distribution is smaller
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What is 4 & 1/2+1/8? *
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
What is 8/9 of 3/8?
A. 11/72
B. 2/7
C. 1/3
D. 3/7
Answer:
1/3
Step-by-step explanation:
A rectangle room is 1.2 times as long as it is wide, and it’s perimeter is 25. Find the dimensions
Answer:
Step-by-step explanation:
L = length W = width
Length is 1.2 times width ⇒ L = 1.2 x W = 1.2W
Perimeter = 2 x W + 2 x L
= 2W + 2L = 25
Substitute L = 1.2W into the equation for the perimeter and solve for W
2W + 2L = 25
2W + 2(1.2W) = 25
4.4W = 25
W = 25 ÷ 4.4 = 125/22
Now substitute found value of W into L = 1.2W to find L:
L = 75/11
Betty works in a shop that sells leather bags. She earns commission, but only after the first 10 bags she sells in a month. If she has already sold 7 bags this month, how many more bags must she sell during the remainder of the month to earn commission?
Number of more bags must she sell during the remainder of the month to earn commission is,
⇒ 3
We have to given that;
Betty works in a shop that sells leather bags.
And, She earns commission, but only after the first 10 bags she sells in a month.
We know that;
In arithmetic, the term "subtraction" refers to the process of removing something from a set of items or a collection of things. What is left in the group decreases as a result of subtraction.
Since, she has already sold 7 bags this month
And, For commission she has to sell 10 bag in a month.
Hence, Number of more bags must she sell during the remainder of the month to earn commission is,
⇒ 10 - 7
⇒ 3
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1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Answer:
a) 7.2, -7.2, 7.2
b) -3.5, 3.5, 3.5
c) 5 1/2, -5 1/2, 5 1/2
Step-by-step explanation:
The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...
Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
If there are initially 5000 bacteria in a culture, and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 5000(3)^t. How long will it take the culture to grow to 80,000? Round to the nearest tenths.
Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria
The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.
This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000
Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.
However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4
Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.
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dirty air: the federal government has enacted maximum allowable standards for air pollutants such as ozone. let x be the number of days per year that the level of air pollution exceeds the standard in a certain city. the probability distribution of x is given by(a) Find P(3)(b) Find P(2 or fewer)(c) Find the porbability that standard is exceeded on at least three days.(d) Find the porbability that standard is exceeded on at least one day.(e) Compute the mean μx. Round the answer to thow decimal places.(f) Compute the standard deviation σx. Round the answer to three decimal places.
The standard deviation σx =\(\sqrt{(Variance)} = \sqrt{(1.5875)} = 1.259.\)
Describe Standard Deviation?It tells us how much the individual values in a dataset deviate from the average value. In other words, it indicates the extent to which the data points are spread out or clustered around the mean.
The formula for standard deviation is the square root of the variance, which is calculated by finding the average of the squared differences between each data point and the mean. The standard deviation is expressed in the same units as the original data and is denoted by the symbol "σ" for the population standard deviation or "s" for the sample standard deviation.
(a) P3 = 0.05
(b) P(2 or fewer) = P0 + P1 + P2 = 0.34 + 0.39 + 0.19 = 0.92
(c) The probability that the standard is exceeded on at least two days is P(X ≥ 2) = P2 + P3 + P4 = 0.19 + 0.05 + 0.03 = 0.27
(d) The probability that the standard is exceeded on more than two days is P(X > 2) = P3 + P4 = 0.05 + 0.03 = 0.08
(e) μx = ΣxPx = 00.34 + 10.39 + 20.19 + 30.05 + 40.03 = 0.95
(f) To compute the standard deviation σx, first we need to find the variance.
Variance = Σ(x-μx)²Px = (0-0.95)²0.34 + (1-0.95)²0.39 + (2-0.95)²0.19 + (3-0.95)²0.05 + (4-0.95)²0.03 = 1.5875
Therefore, σx = sqrt(Variance) = sqrt(1.5875) = 1.259.
Rounding to three decimal places, we get σx = 1.259.
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The complete question is:
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by x 0 1 2 3 4
Px 0.34 0.39 0.19 0.05 0.03
(a) Find P3. P3 =
(b) Find P(2 or fewer). P(2 or fewer) =
(c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is
d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is
(e) Compute the mean μx. Round the answer to two decimal places. μx = Part 6 of 6 (f) Compute the standard deviation σx. Round the answer to three decimal places. σx =
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:
A)
||
B)
≅
C)
≅
D)
∠F ≅ ∠H
The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is
EJ ≅ GJ. Option A
How to prove the statementWe need to know the properties of a parallelogram, we have;
Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.We know that FJ ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.
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The complete question:
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
A)
ej ≅ gj
B)
ej || gj
C)
fg || eh
D)
ef ≅ hg
Convert the polar equation r = 16 sin θ to a rectangular equation.
From the conversion formula, given by
\(y=rsin\theta\)we have that
\(sin\theta=\frac{y}{r}\)By substituting this result into the given polar equation, we have
\(r=16*\frac{y}{r}\)So, by multiplying both sides by r, we get
\(r^2=16y\)Now, from the conversion formula
\(r^2=x^2+y^2\)we have that
\(x^2+y^2=16y\)By subtracting 16y to both sides, we obtain
\(x^2+y^2-16y=0\)By completing the square of the quadratic equation on y, we get
\(x^2+(y-8)^2-64=0\)then, by adding 64 to both sides, we get
\(x^2+(y-8)^2=64\)Therefore, the answer is the last option.
Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
which point of the number line represents negative 4/5?
A
B
C
D
Answer:
the answer is A
Step-by-step explanation:
ms. richardson is going to make a concrete path that will go along three sides of a rectangular lawn. she has enough concrete for 175 square feet. she wants to find , the width, in feet, of the path that would use all of the concrete. This situation is modeled by the equation below. 175 = 45x + x^2 To the nearest hundredth of a foot, what will be the width of the path?
The width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.
We can solve for x by using the quadratic formula.
First, we need to rearrange the equation to the standard form:
x² + 45x - 175 = 0
Now we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = 45, and c = -175
x = (-45 ± √(45² - 4(1)(-175))) / 2(1)
x = (-45 ± √(45 + 700)) / 2
x = (-45 ± √(2025 + 700)) / 2
x = (-45 ± √(2725)) / 2
x = (-45 ± 51.76) / 2
So the two solutions for x are x = (-45 + 51.76) / 2 = 3.38 and x = (-45 - 51.76) / 2 = -99.38.
Since the width will not be negative. Therefore, the width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.
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Answer:
The answer is B: 3.60ft
Step-by-step explanation:
v+-8=-15 i need help
Answer:
- 7
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
Sam is climbing 20 m every 20 minutes. How many meters will he climb in 1 hour?
sam will climb 60m
Step-by-step explanation:
An experiment consists of rolling a special 22-sided die. All of the numbers, 1 through 22, are equally likely. Find the probability of each event. a. A 5 rolling a number greater than 10 and even. b. B 5 rolling a prime number or a number divisible by 5. c. C 5 rolling at most an 11. d. D 5 rolling a number divisible by 2 and 3.
Answer:
Below.
Step-by-step explanation:
A. There are 12 numbers greater than 10 and the even ones are 12, 14, 16, 18, 20 and 22.
So Probability = 6/22
= 3/11.
B. Prime numbers on the die are 2,3,5,7,11,13,17,19 (8) and numbers divisible by 5 are 5, 10, 15 and 20 Total 8+4 = 12.
So Probability = 12/22
= 6/11.
C. First 11 numbers:
So Probability = 11/22
= 1/2.
D. Numbers divisible by 2 and 3 are 6, 12, 18.
So Probability = 3/22.
An oil tanker ruptures at 12:00 AM and leaks oil at
the rate R(t) =\(\sqrt{t}\) barrels of oil per minute where t is the
number of minutes past 12:00 AM. Specialized divers repair
the rupture in 20 minutes, completely stopping the leakage
at 12:20 AM. How many barrels of oil were leaked in total?
Answer:
R = 4.47
Step-by-step explanation:
Simply just R = sqrt(20)
pls help I'll give you brainliest
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
\(Answer: y =\dfrac{1}{2}(x +2)^{2}+\)Answer:
Step-by-step explanation:
Vertex form of quadratic function: y =a(x -h)² + k
Where (h,k) is the vertex
vertex (-2 , 6)
y = a(x -[-2])² + 6
y = a(x + 2)² + 6
This is passing through (-4,8)
8 = a(-4 + 2)² + 6
8 = a(-2)²+ 6
8 = 4a +6
8 - 6 = 4a
4a = 2
a = 2/4
a = 1/2
\(Answer: y =\dfrac{1}{2}(x +2)^{2}+6\)
please help meee.
step by step please
here is the picture please help me.
The domain of function fog (x) is [-2, 3].
From the case, it was given that:
f(x) = √(6 - x)
g(x) = x² - x
Domain of fog (x) ?
First, we need to find the form of function fog (x):
fog (x) = √(6 - (x² - x)
fog (x) = √(6 - x² + x)
fog (x) ≤ 0 --> to be rational
√(6 - x² + x) ≤ 0
To find the domain of function fog(x), we need to find the value of x where fog (x) equals to zero (0):
√(6 - x² + x) = 0
6 - x² + x = 0
(-x + 3) (x + 2) = 0
x = 3 or x = -2
Next, we need to chose random number above, between, and below 3 and -2 to find the domain of fog (x):
-2 < x < 3; x = 0
fog (0) = √(6 - (0)² + (0))
fog (0) = √6 --> rational
x < -2; x = -3
fog (-3) = √(6 - (-3)² + (-3))
fog (-3) = √(6 - 9 - 3)
fog (-3) = √(-6) --> irrational
x > 3; x = 4
fog (4) = √(6 - (4)² + (4)
fog (4) = √(6 - 16 + 4)
fog (4) = √(-6) --> irrational
Hence, the value of x should be -2 ≤ x ≤ 3 to make fog (x) function rational.
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Help? Only right answers get thanks and five stars.
given the value evaluate this functionf(x) = -8x+20; 5-2 [f(-1)]
To calculate: 5 - 2[f(-1)]
We need to calculate first f(-1), so we need to replace x by -1 in the equation of f(x) as:
f(x) = -8x + 20
f(-1) = -8*(-1) + 20
f(-1) = 8 + 20
f(-1) = 28
Now, we can replace f(-1) by 38 and solve as:
5 - 2[f(-1)]
5 - 2*28
5 - 56
- 51
Answer: -51
I need help.................................
Answer:
Option (C)
Step-by-step explanation:
AB and BC are perpendicular to each other at point B.
Ordered pairs representing points A and B are (-3, -1) and (4, 4)
Slope of AB, \((m_1) = \frac{y_2-y_1}{x_2-x_1}\)
\(=\frac{(4+1)}{4+3}\)
\(=\frac{5}{7}\)
Let the slope of perpendicular line BC = \(m_2\)
By the property of perpendicular lines,
\(m_1\times m_2=-1\)
\(\frac{5}{7}\times m_2=-1\)
\(m_2=-\frac{7}{5}\)
Equation of line BC → y - y' = m₂(x - x')
\(y-4=(-\frac{7}{5})(x-4)\)
y = \(-\frac{7}{5}x+\frac{28}{5}+4\)
5y = -7x + 28 + 20
7x + 5y = 48
-7x - 5y = -48
Option (C) will be the answer.
The area of South America is approximately 1.78 × 10^7 square kilometers. Its population is approximately 3.50 × 10^8 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
Answer:
the approximate population density of South America is 1.97 × 10^1 people per square kilometer.
Step-by-step explanation:
To find the population density of South America, we need to divide its population by its area:
Population density = Population / Area
Plugging in the given values:
Population density = 3.50 × 10^8 / 1.78 × 10^7
Population density = 19.66
To express the answer in standard form, we need to move the decimal point one place to the left and adjust the exponent accordingly:
Population density = 1.966 × 10^1
Rounding this to the nearest hundredth gives:
Population density ≈ 1.97 × 10^1
Therefore, the approximate population density of South America is 1.97 × 10^1 people per square kilometer.
The graphs of the tangent, cotangent, secant, and cosecant functions all have____asymptotes.
Oblique, vertical, slant, horizontal
20 POINTS