Answer: the answer is A
Step-by-step explanation:
hope it helps
The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=
Answer:
k = 13
Step-by-step explanation:
substitute x = x + 5 into f(x) , that is
f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL
= x² + 10x + 25 + 3x + 15 - 10
= x² + 13x + 30
compare this with f(x + 5) = x² + kx + 30
for the 2 expressions to be equal , then k = 13
For a given function ƒ(x), the operation ƒ(3x) will
A )shrink the graph vertically by a factor of 1∕3.
B) shrink the graph horizontally by a factor of 1∕3.
C) stretch the graph vertically by a factor of 3.
D) stretch the graph horizontally by a factor of 3.
Answer:
B
Step-by-step explanation:
The graph will shrink horizontally by 1/3 factor so option (B) must be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given that,
Function = f(x)
Operation = f(3x)
By doing operation inside a function or in a dependent variable, it will cause the shrink of the horizontal aspect of the graph.
So by doing that operation graph will shrink horizontally by a factor of 1/3.
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A swimming pool is filled with
water. Find ..
15m
1.2
3.7m
1.89
Answer:
Step-by-step explanation:
it just depends on how big the pool is and hod deep it is.
Given the equations and the table below, what is the first x-value when the y-value of equation 2 is greater than the y-value of equation 1 after the functions first intersect?Equation 1: f(x)=5x^3Equation 2: f(x)=2x+3A: x=14B: x=7C: x=17D: x=12
From what I explained in the session before, the x value must be between 10 and 15, so only 2 options are viable, 14 and 12. Let's evaluate each of them
\(\begin{gathered} f(x)=5x^3 \\ f(12)=5(12)^3 \\ f(12)=5(1728) \\ f(12)=8640 \\ \\ f(x)=2^x+3 \\ f(12)=2^{(12)}+3 \\ f(12)=4096\text{ +3 = 4099} \end{gathered}\)So, 12 is not the answer. Let's evaluate 14
\(\begin{gathered} f(x)=5x^3 \\ f(14)=5(14)^3 \\ f(14)=5(2744) \\ f(14)=13720 \\ \\ f(x)=2^x+3 \\ f(14)=2^{14}+3 \\ f(14)=16384+3 \\ f(14)=16387 \end{gathered}\)So, x = 14 is the correct answer
Find the difference.
\((3s^{2} +2st+5t^{2} )-(-2s^{2} +st+7t^{2} )\)
Possible Answers:
A: \(5s^{2} +st-2t^{2}\)
B: \(s^{2} +st-2t^{2}\)
C: \(5s^{2} +3st+12t^{2}\)
D: \(s^{2} +3st+12t^{2}\)
Algebra 1
Need to be answered as fast as possible
7 fishes οf the new released initially in the given expοnential pοpulatiοn grοwth. (οptiοn c)
What is expοnential pοpulatiοn grοwth?Expοnential pοpulatiοn grοwth means that whatever the pοpulatiοn size is, it keeps increasing because the pοpulatiοn per individual remains the same, accelerating pοpulatiοn grοwth that is limited by limited resοurces. Hence, this increase in pοpulatiοn size is knοwn as expοnential pοpulatiοn grοwth.
The grοwth οf their pοpulatiοn is mοdeled by the expοnential functiοn
P(t)=\(7b^{t}\) ,where t is the time in weeks after the release and b is a pοsitive unknοwn base.
Initially that is t=0
sο fοr t=0,
p(0)=7×1 [since sοmething tο the pοwer zerο is equal tο 1]
Hence, P(0)=7
sο there were 7 fishes initially.
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Find the surface area of the pyramid. The side lengths of the base are equal.
Pls answer fast!
The tree diagram below shows all of the possible outcomes for flipping three coins.
A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).
What is the probability of one of the coins landing on tails and two of them landing on heads?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths
Answer: 3/8, I had got it correct on Edge 2020 :)
Answer:
the correct answer is A
Step-by-step explanation:
This is the 100% daily value of added sugar in a 2,000 calorie diet 10%kcal 28 g 2300mg 50 g
Answer:
28 g. ................
Fill in the table using this function rule.
y=-5x+1
X
-2
0
2
4
y
0
0
0
0
Start over
S
Answer:
x y
-2 -9
0 1
2 -9
4 -19
explanation:
you simply replace the x with the figure given in the x table or columns or rows
Answer:
so -2024y0000 division is s
Mary analyzed occupancy rates at two community hospitals and obtained the following Excel results.
t-Test for Acue Care Occupancy Rates
MaxHealth HealthPro Mean 62.5462 68.4800 Variance 108.2377 98.3707 Observations 13 10 Hypothesized Diff 0 df 20 t Stat −1.3923 P(T<=t) one-tail 0.0896 t Critical one-tail 1.7247 P(T<=t) two-tail 0.1791 t Critical two-tail 2.0860 Which conclusion is correct in a two-tailed test at α = .05?
Multiple Choice
There appears to be no difference in the mean occupancy rates.
There is a significant difference in the mean occupancy rates.
HealthPro has a significantly higher mean occupancy rate.
Carver Memorial Hospital’s surgeons have a new procedure that they think will decrease the time to perform an appendectomy. A sample of 8 appendectomies using the old method had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using the experimental method had a mean of 29 minutes with a variance of 16 minutes. For a right-tailed test for equal means (assume equal variances), the critical value at α = .10 is
Multiple Choice
2.120
2.754
1.746
1.337
The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.
How to solveFrom the given values:
Thus, the P-value = 0.1791
Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.
Thus, option A is correct.
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the pattern of displacement nodes n and antinodes a in a pipe is nanananana when the standing-wave frequency is 1390 hzhz. the pipe contains air at 20∘c∘c. the speed of sound in air is 344 m/sm/s.
The standing wave is in the fifth harmonic because the supplied standing wave pattern includes five nodes.
What is standing sound waves?In both open and closed pipes, the air column serves as a resonating column for the sound waves. A closed pipe has one open end, whereas an open pipe has both ends open. Standing waves are produced when a medium's impedance abruptly changes, forming a border where the sound wave may be partially or fully reflected, transmitted, or reflected at all. The two antinodes at either end of the tube are included in the six antinodes that are visible.
Open ends will always be antinodes in any pipe. As a result, the provided pipe is either open or open-open.
The first harmonic of the fundamental mode of oscillation in an open pipe will contain a node in the centre and two antinodes at either end. Two antinodes at the open ends, one in the middle, and two nodes down the length of the pipe make up the second harmonic. Similar to the third harmonic, the fourth harmonic has five antinodes and four nodes, the fifth harmonic has six antinodes and three nodes, and so on.
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The complete question is:
The pattern of displacement nodes (n) and antinodes (a) in a pipe is nanananana when the standing-wave frequency is 1390 Hz. The pipe contains air at 20°C, and the speed of sound in air is 344 m/s.
To find the wavelength of the standing wave, we can use the equation:
λ = v/f
Where λ is the wavelength, v is the speed of sound, and f is the frequency. Plugging in the values given in the question:
λ = 344 m/s / 1390 Hz = 0.247 m
Since the pattern in the pipe is nanananana, we can see that there are 5 nodes and 4 antinodes. The distance between each node and antinode is λ/4, so the length of the pipe is:
L = (5 nodes + 4 antinodes) * (λ/4) = 9 * (0.247 m / 4) = 0.556 m
Therefore, the length of the pipe is 0.556 m.
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whats the answer?? I cant seem to get it.
Answer: 326.56
Step-by-step explanation: The simplified formula for the surface area of a cylinder is \(2\pi r(r+h)\). Solving this, you get 25.12 * 13, which equals 326.56
Answer:
326.56 cm^2
Step-by-step explanation:
A = 2pirh + 2pir^2
A = 2(3.14)(4)(9) + 2(3.14)(4^2)
A = 226.08 + 100.48
A = 326.56 cm^2
Make sure that units are the same before solving
What is the length of BC?
Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 141 adult males, the pulse rates have a standard deviation of 13.4 bpm. Find the value of the test statistic.
The value of the test statistic is 1.177.
What is test statistic?
A test statistic is a numerical summary of sample data that is used in hypothesis testing. It is used to assess the strength of evidence against a null hypothesis by comparing the observed data to what would be expected if the null hypothesis were true.
To find the value of the test statistic, we need to use the formula:
test statistic = (sample statistic - hypothesized parameter) / (standard error of the sample statistic)
In this case, the hypothesized parameter is the standard deviation of pulse rates of adult males, which is stated to be more than 12 bpm. So, we have:
hypothesized parameter: σ > 12 bpm
sample size: n = 141
sample standard deviation: s = 13.4 bpm
To calculate the standard error of the sample standard deviation, we use the formula:
standard error of s = σ / √n
Since we don't know the value of σ, we will use the sample standard deviation s as an estimate for it:
standard error of s = s / √n = 13.4 / √141 = 1.126
Now, we can plug in the values into the formula for the test statistic:
test statistic = (s - σ) / (standard error of s)
= (13.4 - 12) / 1.126
= 1.177
Therefore, the value of the test statistic is 1.177.
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Choose the expression that represents a cubic expression. −7x 14 7x2 − 5x 6 8x3 − 7x2 − 6x 5 9x4 8x3 − 6x2 − 2x 11.
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
hope that helps!
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
Simplify: 12 + 2 x 3 + ( 43 - 12)
68
54
70
18
Complete the equations of the lines that are parallel and perpendicular to line y = 4/3x + 4 that passes through the point (1, –6).
Parallel line: y = ___x + ___
Perpendicular line: y = ___x + ___
Answer: 4/3x+-22/3 y=-3/4x+-21/4
on ed
Step-by-step explanation:
Answer:y=4/3x+-22/3. Y=-3/4x+-21/4
Step-by-step explanation:
Write the quadratic equation in standard form:
Standard form ax²+bx+c=0
5x²+7+3x+3x=05x²+7+6x=05x²+6x+7=0Done
the naïve bayes method is a powerful tool for representing dependency structure in a graphical, explicit, and intuitive way.
True or false
False. The statement is false. The Naive Bayes method is not typically used to represent dependency structure in a graphical, explicit, and intuitive way.
Naive Bayes is a probabilistic machine learning algorithm that is commonly used for classification tasks. It assumes that the features are conditionally independent given the class label. This assumption simplifies the modeling process by assuming that the features contribute independently to the probability of the class. However, Naive Bayes does not explicitly represent or capture the dependency structure between features.
Graphical models, such as Bayesian networks, are specifically designed to represent and visualize dependency structures among variables. Bayesian networks use graphical representations with nodes and edges to represent variables and their conditional dependencies. Each node in the graph represents a random variable, and the edges indicate the probabilistic dependencies between variables.
While Naive Bayes can be viewed as a special case of a Bayesian network with strong independence assumptions, it does not provide a graphical representation of the dependency structure. Naive Bayes assumes independence among features, which may not reflect the true dependencies present in the data.
Therefore, the statement that the Naive Bayes method is a powerful tool for representing dependency structure in a graphical, explicit, and intuitive way is false. It is more appropriate to use graphical models like Bayesian networks when the explicit representation of dependency structure is desired.
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Match each inequality with its solution set.
1.
3.
+
-4 -3 -2 -1 0 1 2 3 4
2. +
4.
+
-4 -3 -2 -1 0 1 2 3 4
++
-4 -3 -2 -1 0 1 2 3 4
+
-4 -3 -2 -1 0
1
2 3
+
4
5-3x ≥ 11
1+ 3x ≥ -5
2x+1≤3
5x+7 217
Answer:
1. 2x + 1 ≤ 3.
2. 5x+7 217.
3. 1+ 3x ≥ -5.
4. 5-3x ≥ 11.
I hope it helps
A game is played by spinning a wheel that is divided into four sectors, each with a different point value. The angle made at the centre of the circle for each section, and the corresponding point value for each sector is shown in the chart below: Central Angle Point 144° 108° 72° 36° point value 20 30 40 50
Answer:
30 points
Step-by-step explanation:
It sounds like you have a game where you spin a wheel that has four sectors with different point values assigned to them. The chart shows the central angle and the corresponding point value for each sector.
To calculate the expected value (average score) for a single spin of the wheel, you need to multiply each point value by the probability of landing in that sector, and then add up the results. The probability of landing in each sector can be calculated by dividing the central angle of the sector by the total central angle of the wheel (which is 360 degrees).
So, let's calculate the expected value:
Sector 1: Central angle = 144°, Point value = 20
Probability = 144° / 360° = 0.4
Contribution to expected value = 0.4 * 20 = 8
Sector 2: Central angle = 108°, Point value = 30
Probability = 108° / 360° = 0.3
Contribution to expected value = 0.3 * 30 = 9
Sector 3: Central angle = 72°, Point value = 40
Probability = 72° / 360° = 0.2
Contribution to expected value = 0.2 * 40 = 8
Sector 4: Central angle = 36°, Point value = 50
Probability = 36° / 360° = 0.1
Contribution to expected value = 0.1 * 50 = 5
Total expected value = 8 + 9 + 8 + 5 = 30
Therefore, the expected value for a single spin of the wheel is 30 points
Answer:
What is the expected value of the points earned if the wheel is spun once?
To find the expected value, we need to multiply each point value by its corresponding probability and then add up these products. The probability of landing on each sector can be found by dividing the central angle of that sector by the total central angle of the circle, which is 360 degrees. So we have:
Probability of landing on 20 points: 144°/360° = 0.4
Probability of landing on 30 points: 108°/360° = 0.3
Probability of landing on 40 points: 72°/360° = 0.2
Probability of landing on 50 points: 36°/360° = 0.1
Now we can calculate the expected value:
Expected value = (20 x 0.4) + (30 x 0.3) + (40 x 0.2) + (50 x 0.1)
Expected value = 8 + 9 + 8 + 5
Expected value = 30
Therefore, the expected value of the points earned if the wheel is spun once is 30.
X
-6
-5
-4
-3
-2
-1
0
1
Y
0
-9
-12
-9
0
15
36
63
vertex?
this picture would help you man stay strong
What does the 3 stand for in 7,414,311.8? 0.3 30 300 3
Step-by-step explanation:
3 stands in 300
Hope it helps ya-22/4 / 3/4 (fractions, and please explain answer!)
Answer: - 7 1/3 or -88/12 (it depends)
Step-by-step explanation:
To solve this equation, multiply the second number using it's reciprocal. A reciprocal is a flipped version of a fraction.
(3/4 to 4/3)
-22/4 x 4/3 = -88/12
Change it to a mixed number.
-7 1/3
Therefore, - 7 1/3 is the answer to this problem or keep it as -88/12.
I hope this helps mburlett5833:)!Can someone solve all these answers for this polynomials worksheet?
Answer:
2. 4
3. 5
4. 8
5. 9
6. 1
7. 6
8. 5
9. 7
10. 2
Step-by-step explanation:
Count the number of terms for each. Alternately, count the number of "+" and "-", and add 1.
Find all solutions of the equation. sec^2 x - 4 = 0 Select the correct answer, where k is any integer: a. pi/3 + k pi, 2pi/3 + k pi, 4pi/3 + k pi, 5pi/3 + k pi b. pi/3 + 2k pi, 2pi/3 + 2k pi c. pi/3 + k pi, 5pi/3 + k pi d. pi/3 + 2k pi, 2pi/3 + 2k pi, 4pi/3 + 2k pi, 5pi/3 + 2k pi
The solutions of the equation sec² x - 4 = 0 are x = π/3 + 2kπ, 2π/3 + 2kπ, 4π/3 + 2kπ, 5π/3 + 2kπ. Therefore, option d. is correct.
We start by solving for x in the equation sec² x - 4 = 0:
sec² x - 4 = 0
sec² x = 4
sec x = ±2
Recall that sec x = 1/cos x, so we can rewrite the equation as:
1/cos² x = 4
cos² x = 1/4
cos x = ±1/2
Now we need to find all values of x that satisfy cos x = ±1/2. These values are:
x = π/3 + 2kπ or x = 5π/3 + 2kπ (for cos x = 1/2)
x = 2π/3 + 2kπ or x = 4π/3 + 2kπ (for cos x = -1/2)
Combining these solutions, we get:
x = π/3 + 2kπ, 2π/3 + 2kπ, 4π/3 + 2kπ, 5π/3 + 2kπ
Therefore, the correct answer is d. pi/3 + 2k pi, 2pi/3 + 2k pi, 4pi/3 + 2k pi, 5pi/3 + 2k pi.
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Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?
Answer:
£ 35
Step-by-step explanation:
Ratio = 6 : 1
Gordon's share = 6x
Malachy's share = x
6x - x = 25
5x = 25
x = 25/5
x = 5
Gordon's share = 6x = 6*5 = 30
Malachy's share = x = 5
Total money they get = 30 + 5 = £35
If tan(t)=4/9 what is tan(t−π)
The value of tan(t−π) is 4/9.
According to the statement
we have given that tan(t)=4/9 and we have to find the value of tan(t−π).
So,
tan(t−π) -(1)
take negative sign common from equation (1) it then
tan(t−π) = -tan(-t+π)
and we know that the according to the mathematics formula it become
tan(-t+π) is -tan t
then
tan(t−π) = -(-tan t)
it becomes
tan(t−π) = tan t
then its value becomes
tan(t−π) = tan(t)=4/9.
because we have given that the value of tan t is tan(t)=4/9.
So, The value of tan(t−π) is 4/9.
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Which one of the following is not a power equation?
p= v2/r= vxi
p= v2xi p= i2xr
The equation that is not a power equation is p = v²×i
Power equationsFrom the question, we are to determine which of the given equations is not a power equation
Where the Voltage, V, and the Current, I, are given, the power, P is given by
P = IV
When the Voltage and the Resistance, R, are given
P = V²/R
When the Current and the Resistance are given,
P = I²R
∴ P = V²/R, P = IV, and P = I²R are power equations.
Hence, the equation that is not a power equation is p = v²×i
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