9514 1404 393
Answer:
decaydecaygrowthStep-by-step explanation:
If the base of a positive exponential is greater than 1, the function is a growth function. If it is less than 1, the function decays.
Remember that a^-1 = 1/a, so a negative exponential can be transformed to a positive one.
__
1. y = 2(11/5)^-x = 2(5/11)^x . . . . 5/11 < 1, so decay
2. y = e^(-2x) = (1/e^2)^x . . . . 1/e^2 < 1, so decay
3. y = 1/4e^x . . . . e > 1, so growth
_____
e ≈ 2.71828 . . . an irrational number
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Answer:
is B
Step-by-step explanation:
Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answer:
E
Step-by-step explanation:
what is the measure of angle KIT?
Answer:
80°
Step-by-step explanation:
In rhombus, opposite angles are equal. i.e <KET = <KIT
Triangle KET is isoceles, which means both parts of angle E are equal.
Angle E = 40 + 40
Angle E = 80
If angle E is 80 than Angle I is also 80.
Use the binomial squares pattern to multiply (6u3−v)2.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36u^6-12u^3v + v^2
Explanation:
I hope this helped!
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find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
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A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup
1 1/2 of
yogurt. How many smoothies can Dominic make with the yogurt?
Answer:
Dominic can only make one smoothie considering he only has one full cup of yogurt.
Step-by-step explanation:
1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)
What is the answer please help no links no links
Help please! :) -Substitution Method-
Answer:
d
Step-by-step explanation:
I need help solving this problem.
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
thric
b. The perimeter of a square room is 48m, how much square metre carpet is
required to cover it?
Answer:
144
Step-by-step explanation:
A square room has all sides the same length
the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.
PLSS HELP
Find the area of the triangle or quadrilateral
Answer:
Green = 13.5 ft²
Blue = 42 in²
Step-by-step explanation:
Green: 6+3=9
9÷2=4.5
4.5x3=13.5
Blue: 8+13=21
21÷ 2=10.5
10.5x4=42
what percentage of 4m is 20cm
Answer:
5%
Step-by-step explanation:
How many centimeters are in one meter? (Hint: 100)
How many centimeters are in four meters? (Hint: Multiply by 4)
What fraction expressions 20 centimeters as a portion of four meters (when the meters are expression in centimeters)?
After doing the division indicated by the fraction, what decimal do you get?
After moving the decimal point two places to the right, what percentage do you get?
Your answer should be somewhere between 3% and 15%.
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Andre wants to run ten miles in three days. He ran 2.5 miles on Monday and 4.4 miles on Tuesday. How many miles does Andre need to run on Wednesday?
Answer:
3.1 miles
Step-by-step explanation:
2.5 + 4.4 = 6.9
10 - 6.9 = 3.1
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Focus Question. (Respond to the following prompt in three to five sentences please.)
Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?
Answer:
The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era. Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.
The famous white and blue porcelain of China originated in the era of the Ming Dynasty.
Step-by-step explanation:
The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.
What is Ming dynasty?In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.
Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:
Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.
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Find the number of distinguishable permutations of the given letters "AABBCCCD".
Answer:
mother A1 has daughter A2, and
mother B1 has daughter B2, and
mother C1 has daughter C2, and
mother D1 has daughter D2.
Step-by-step explanation:
.
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
parallel and perpendicular lines
Answer:
A. Slope = -³/2
B. y = -³/2x - 6
C. ³/2x + y = -6
Step-by-step explanation:
A. Slope of the line would be the negative reciprocal of the slope of 2x - 3y = 12, which is written in standard form. Rewrite in slope-intercept form, y = mx + b, where m = slope.
Thus:
2x - 3y = 12
-3y = -2x + 12
y = -2x/-3 + 12/-3
y = ⅔x - 4
The slope of 2x - 3y = 12 is therefore ⅔.
The slope of the line perpendicular to 2x - 3y = 12 would be the negative reciprocal of its slope, ⅔ which is:
-³/2
Therefore, the slope of the line perpendicular to 2x - 3y = 12 is -³/2
B. To find the equation of the line in slope-intercept form, first find the equation in point-slope form using the point given (-6, 3) and slope of the line, -³/2.
Substitute a = -6, b = 3, and m = -³/2 into y - b = m(x - a).
Thus:
y - 3 = -³/2(x - (-6))
y - 3 = -³/2(x + 6)
Rewrite in slope-intercept form, y = mx + b
Multiply both sides by 2
2(y - 3) = -3(x + 6)
2y - 6 = -3x - 18
2y = -3x - 18 + 6
2y = -3x - 12
y = -3x/2 - 12/2
y = -³/2x - 6
C. Rewrite y = -³/2x - 6 in standard form.
y = -³/2x - 6
³/2x + y = -6
Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!
The x-intercept is at (∞, 0)
The y intercept is (0, 1)
Intercept of a graphThe x-intercept of a graph occurs at the point where y = 0
Given the equation y = 5^x
If y = 0
5^x = 0
xln5 = ln 0
x = ln0/ln5
x = ∞
The x-intercept is at (∞, 0)
y-intercept
The y-intercept occurs at the point where x = 0
y = 5^0
y = 1
Hence the y intercept is (0, 1)
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Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Answer the following questions based on the data in this bar graph.
⦁ What percentage of children voted for the Action movie? Show your work. Round to the nearest percent if needed.
⦁ Which movie received 20% of the total votes? Show your work.
Answer:
• 25%
• Drama movie
Step-by-step explanation:
• Total number of children
= 16 +12 +18 +20 +14
= 80
Percentage of children that voted for action movie
[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]
[tex] = \frac{20}{80} \times 100\%[/tex]
[tex] =\textbf{25\%}[/tex]
------------------------------------------------------------
• Total number of votes
= 30 +32 +36 +36 +26
= 160
20% of total votes
= 20% ×160
= 32 votes
Since Drama movie received 32 votes, it received 20% of the total votes.
5) What is the distance between the points (3,-5) and (5,6)?
A) 125
B) 11.2
C) 100
D) 10
Jeff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
Step-by-step explanation:
eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
The answer is B: 7.73 ft
Step-by-step explanation:
I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D
Hope you like my answer!
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
sketch the graphs of y= sin x, y= sin 2x, and y=2 sin x. describe how the graphs are alike and how they are different
Answer:
Step-by-step explanation:
The graphs can be seen in the picture attached below where
y= sin x is the red wave
y= sin 2x is the blue wave
y=2 sin x is the green wave
Each graph is obviously a wave in shape but where they all differentiate is in the frequency and amplitude of the wave. Meaning how often a wave cycle repeats in the functional and how high and low the wave cycles actually get. That is where the difference takes place sinx has wider wave cycles than the other two. sin2x has the shortest wave cycles, almost twice for everyone red wave cycle. While 2sinx has the highest and lowest amplitude of all of the waves.
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.
Answer:
CE= 17.59
Step-by-step explanation:
Arc Length=central angle/ 360 (circumference)
CE= 112/ 360 (2π9)
CE= 17.59
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation: