Answer:
45 meters
Step-by-step explanation:
graph the equation and find the y-intercept
Multiply.
2x^4 (3x³ − x² + 4x)
Answer: A
Step-by-step explanation:
When multiplying: Numbers multiply with numbers and for the x's, add the exponents
If there is no exponent, you can assume an imaginary 1 is the exponent
2x⁴ (3x³ − x² + 4x)
= 6x⁷ -2x⁶ + 8x⁵
Answer:
A. \(6x^{7} - 2x^{6} + 8x^{5}\)
Step-by-StepLabel the parts of the expression:
Outside the parentheses = \(2x^{4}\)
Inside parentheses = \(3x^{3} -x^{2} + 4x\)
You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses
\(2x^{4}\) × \(3x^{3}\)
\(2x^{4}\) × \(-x^{2}\)
\(2x^{4}\) × \(4x\)
First, multiply the whole numbers of each value before the variables
2 x 3 = 6
2 x -1 = -2
2 x 4 = 8
Now you have:
6\(x^{4}x^{3}\)
-2\(x^{4}x^{2}\)
8\(x^{4} x\)
When you multiply exponents together, you multiply the bases as normal and add the exponents together
\(6x^{4+3}\) = \(6x^{7}\)
\(-2x^{4+2}\) = \(-2x^{6}\)
\(8x^{4+1}\) = \(8x^{5}\)
Put the numbers given above into an expression:
\(6x^{7} -2x^{6} +8x^{5}\)
Key Wordsdistribution
variable
like exponents
all of the following cause soil degradation except?
(a) adding chemicals
(b) deforestation
(c)overgrazing to soil
(d) contour ploughing
Answer:
d. contour ploughing
hope it helpss
a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c
The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.
To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the initial temperature of 25 °C to Kelvin:
T1 = 25 + 273.15 = 298.15 K
Next, we can rearrange the ideal gas law equation to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
We have:
P1 = 1.08 atm (initial pressure)
V1 = 50.0 L (initial volume)
P2 = 0.855 atm (final pressure)
T2 = 10.0 °C (final temperature)
Converting the final temperature to Kelvin:
T2 = 10 + 273.15 = 283.15 K
Substituting the values into the equation:
V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)
V2 ≈ 42.81 L
Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.
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A helicopter with mass 2.7×10
4
kg has a position given by
r
(t)=(0.020t
3
)
i
^
+(2.2t)
j
^
−(0.060t
2
)
k
^
m. Find the net force on the helicopter at t=3.4 s.
F
net
=(
i
^
+
j
^
+
k
^
kN
If the mass of the helicopter is m = 2.7 x 10⁴ kg and the position of the helicopter is given by the vector \(r(t) = 0.02t^3 \hat{i} + 2.2t \hat{j} - 0.06t^2 \hat{k}\), then the net force on the helicopter at t=3.4s is \(F_{net}= 1.1016 \hat{i} - 0.324 \hat{k}\) kN
To find the net force follow these steps:
The formula for force is F=m×a, where m is the mass and a is the acceleration. Since acceleration is rate of change of velocity and velocity is the rate of change of displacement, then acceleration= d²(r)/dt².So, the velocity, \(v(t) = \frac {dr}{dt} = 0.06t^2 \hat{i} + 2.2 \hat{j} - 0.12t \hat{k}\)m/s. Differentiating the velocity, we get acceleration, \(a(t) = \frac{dv}{dt} = 0.12t \hat{i} - 0.12 \hat{k}\). At t = 3.4s, the acceleration is, \(a(3.4) = 0.12(3.4) \hat{i} - 0.12 \hat{k} = 0.408\hat{i} - 0.12\hat{k}\) m/s²Therefore, the net force at time t=3.4, \(F_{net} = m \times a(3.4) \Rightarrow F_{net} = 2.7 \times [0.408 \hat{i} - 0.12 \hat{k}]= 1.1016 \hat{i} - 0.324 \hat{k}\) kNThus, the net force on the helicopter at t = 3.4 s is \(F_{net}= 1.1016 \hat{i} - 0.324 \hat{k}\) kN.
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Select the correct answer from each drop-down menu. Triangle ABC, with vertices A(3, 0), B(2, 4), and C(4, 2), undergoes a transformation to form triangle A′B′C′, with vertices A′(3, 0), B′(2, -4), and C′(4, -2). The type of transformation that triangle ABC undergoes is a . If triangle A′B′C′ undergoes a transformation to form triangle A″B″C″, with vertices A″(-3, 0), B″(-2, -4), and C″(-4, -2), then the type of transformation that triangle A′B′C′ undergoes is a .
The type of transformation that triangle A'B'C' undergoes is a translation.
Triangle ABC undergoes a transformation to form triangle A'B'C'. The type of transformation that triangle ABC undergoes is a reflection.
If triangle A'B'C' undergoes a transformation to form triangle A''B''C'', the type of transformation that triangle A'B'C' undergoes is a translation.
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please explain btw it’s telling me to find the equation not the sum
Answer:
21+v=52
Step-by-step explanation:
Sum means the result of two numbers added together
Which of the following statements must be true about this diagram? Check
all that apply.
Answer:
w>xw>yx+y=wStep-by-step explanation:
We know sum of two interior angles is equal to the measure of the exterior angle .Step-by-step explanation:
Option c, d,and f is correct
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n = 30, x = 12, p = 0.20
A) 0.0064
B) 0.0028
C) 0.0139
D) 0.1082
The probability of 12 successes in 30 trials with a 0.20 probability of success on a single trial is approximately 0.0139.
To find the probability of x successes in n trials with a probability p of success on a single trial, you can use the binomial probability formula:
P(x) = C(n, x) * (p^x) * ((1-p)^(n-x))
where C(n, x) is the number of combinations of n items taken x at a time.
In this case, n = 30, x = 12, and p = 0.20. Plug these values into the formula:
P(12) = C(30, 12) * (0.20^12) * ((1-0.20)^(30-12))
Calculate C(30, 12), which is the number of combinations of 30 items taken 12 at a time:
C(30, 12) = 30! / (12! * (30-12)!) = 86493225
Now, calculate the rest of the equation:
P(12) = 86493225 * (0.20^12) * (0.80^18) ≈ 0.0139
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A seasonal index of indicates that the season is average A) o B) 0.5 C) 10 D) 100 E) 1
As seasonal index of 1 indicates that the season is average. This means that the data for the season falls in line with what is expected based on historical trends and patterns.
Seasonal indexes are used to adjust data for seasonal variations so that the underlying trends can be analyzed accurately. For example, a retailer may use seasonal indexes to adjust their sales data to account for the higher sales volume during the holiday season.
It is important to understand seasonal indexes when analyzing data and making business decisions based on seasonal trends.
A seasonal index of 0.5 would indicate that the season is weaker than average, while a seasonal index of 10 or 100 would suggest that the season is much stronger than average.
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A seasonal index is a tool used in data analysis to measure the level of seasonal variation in a given time series. An index of 1 indicates that the season is average, meaning that there is no significant deviation from the expected seasonal pattern.
A seasonal index is a numerical value that represents the relative level of a variable, such as sales or demand, during a particular season. It is usually represented as a ratio or percentage that compares the actual value of a variable to its expected value during a particular season. An index below 1 means that the season is below average, while an index above 1 means that the season is above average.
A seasonal index of 1 (E) indicates that the season is average because it implies that the observed value during that season is equal to the overall average for all seasons. In this case, there is no significant seasonal variation or deviation from the mean.
Therefore, in the given question, the correct answer is E) 1, which means that the season is average and there is no significant deviation from the expected seasonal pattern. The use of seasonal indices is crucial in predicting future trends, identifying anomalies, and making informed decisions in various industries, such as agriculture, retail, and tourism.
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come on u guys got this the last 2
Answer:
idk
Step-by-step explanation:
Answer:
HEy
Step-by-step explanation:
Hassam buys two adult tickets and two child tickets.
The booking agency charges an extra 5% of the total cost as a booking fee.
Work out how much Hassam pays altogether.
Okay, here are the steps:
* Hassam buys 2 adult tickets and 2 child tickets
* Let's assume:
** Adult ticket price = $50
** Child ticket price = $25
* So total ticket price = 2 * $50 + 2 * $25 = $200
* The booking fee is 5% of the total cost
* 5% of $200 is $10
* So total payment = $200 + $10 = $210
Therefore, the total Hassam pays altogether is $210
Nahid is payed 200$ a week + 5% of her sales during the week. The equation p=0.05s represents nahids pay for the week. P represents the total pay for week and s represents her total sales. If nahid was payed 290 at the end of the week, use the equation to determine how much did she sold.
Answer:
She sold $1800 worth.
Step-by-step explanation:
290-200=90
90 x 20 because 100÷5=20
90 x 20 = 1800
$1800
Find c.
i’ll mark as brainiest if correct
Answer:
square root of 325
Step-by-step explanation:
The Picture below is the question
Answer:
Step-by-step explanation:
You had the first part of the first question correct. The answer is 100:64
The sides of the squares
Area of e = 69% more than area of area of f
e^2: f^2 = ( 1 + 69/100 ) / 1
e^2 : f^2 = (1.69)/1 Take the square root of both sides
e:f = 1.3:1
Leia wants to buy a jacket that is $45.00. It's on
sale for 22% off. How much will Leia be paying for
the jacket?
Answer:
$35.10
Step-by-step explanation:
The discount amount is subtracted from the original price to find the discounted price. That math can be done a couple of different ways.
discount = discount rate × original price
sale price = original price - discount
Or, these equations can be combined:
sale price = original amount × (1 - discount rate)
__
Using the latter equation, we get ...
sale price = $45.00 × (1 - 0.22) = $45.00 × 0.78 = $35.10
Leia will be paying $35.10 for the jacket.
Use the picture of the circle below to find the area of the circle. Use 3.14 for π and show your work.
Answer:
254.34 in^2
Step-by-step explanation:
To calculate the Area of Circle is πr^2
r is the radius of the circle
In this problem, the diameter is given which is 18 in. To find the radius you have to divide the diameter by 2.
18/2 = 9 in is our radius
Area of Circle = π9^2
= 3.14*81
= 254.34 in^2
Simplify the expressionSimplify the expression.16(1/2x)4
pick the choice that best completes the following sentence. if a relationship between two variables is called statistically significant, it means the investigators think the variables are select one: a. related in the population represented by the sample. b. not related in the population represented by the sample. c. related in the sample due to chance alone. d. very important.
If a relationship between two variables is called statistically significant, it means that the investigators think the variables are a. related in the population represented by the sample.
If a relationship between two variables is called statistically significant, it means that the investigators think the variables are related in the population represented by the sample. This means that the results of the study can be generalized to the larger population with a high degree of confidence.
Statistical significance refers to the likelihood that the results of a study are not due to chance. When researchers perform a statistical test, they calculate the probability that the observed relationship between the variables occurred by chance alone. If this probability is very low (usually less than 5%), then the results are considered statistically significant.
It's important to note that statistical significance does not necessarily mean that the relationship between the variables is strong or important. It simply means that the relationship is unlikely to be due to chance. Therefore, choice D ("very important") is not the correct answer. Choice B ("not related in the population represented by the sample") is also incorrect, as a statistically significant relationship indicates that the variables are related. Choice C ("related in the sample due to chance alone") is also incorrect, as statistical significance means that the relationship is not due to chance alone.
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A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
Question 1
Which equation is written in standard form?
A.
B.
C.
D.
x2 + 5x = 20
x2 + x-4 = 0
x² - 6 = 4x
7x + 12 = x
Answer:
x2+x-4=0
Step-by-step explanation:
what is the standard deviation of a sample mean xbar ap stats
the standard deviation of a sample mean, can be calculated by dividing the population standard deviation, σ, by the square root of the sample size, n.
In statistics, the standard deviation measures the dispersion or variability of a set of data. When calculating the sample mean, from a sample of data, the standard deviation of the sample mean, is a measure of how much the sample means vary from the true population mean.The standard deviation of the sample mean is determined by dividing the population standard deviation, σ, by the square root of the sample size, n. Mathematically, it can be expressed as:
sample mean = σ / √n,Where σ is the population standard deviation and n is the sample size.
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True/False
1) The nullspace of a 3x4 matrix cannot consist of only the zero vector.
2) The nullspace of a 4x3 matrix cannot consist of only the zero vector.
3) The set of all vectors of the form 1
x
y
where x and y range over all real numbers, is a subspace of R^3.
4) 3) The set of all vectors of the form 0
x
y
where x and y range over all real numbers, is a subspace of R^3.
Null space is defined as the set of vectors 'x' in Rn that are solutions to the matrix equation A*x = 0. False: The set of all vectors of the form 1 x y where x and y range over all real numbers is a subspace of R3. True: The set of all vectors of the form 0 x y where x and y range over all real numbers is not a subspace of R3.
1) False Null space can consist of zero vector only. A null space is defined as the set of vectors 'x' in R^n that are solutions to the matrix equation A*x = 0.
2) True The number of columns can never be less than the number of rows of the matrix in order for a null space to exist, hence a 4x3 matrix may have the null space of only the zero vector.
3) True The set of all vectors of the form 1 x y where x and y range over all real numbers, is a subspace of R^3. This set contains zero vector because for x=0 and y=0, we get the vector as [0,0,0]. Hence it is a subspace of R^3.
4) False The set of all vectors of the form 0 x y where x and y range over all real numbers, is not a subspace of R^3 as it doesn't contain zero vector. To have a subspace of R^3, it should contain a zero vector.
So, the correct options are:1) False2) True3) True4) False
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Find the following measure for the set of data given below (Use
formula card or calculator if necessary). x Freq(x) 11 3 12 8 13 3
14 4 15 2
What is the variance of this distribution is?
18.715 is the variance of the given distribution.
The given frequency distribution table is as follows:
X Freq(X)
11 3
12 8
13 3
14 4
15 2
To calculate the mean of the distribution, the following steps are taken:
Mean, μ = Σ[X.Freq(X)] / ΣFreq(X)
= (11×3 + 12×8 + 13×3 + 14×4 + 15×2) / (3 + 8 + 3 + 4 + 2)
= (33 + 96 + 39 + 56 + 30) / 20
= 254 / 20
= 12.7
Now, let's calculate the variance:
Variance, σ² = Σ[X². Freq(X)] / ΣFreq(X) - μ²
First, we need to calculate X².Freq(X) for each value of X:
X Freq(X) X² Freq(X)
11 3 363
12 8 1536
13 3 507
14 4 784
15 2 450
Now, we can calculate the variance:
σ² = Σ[X². Freq(X)] / ΣFreq(X) - μ²
= (363 + 1536 + 507 + 784 + 450) / 20 - 12.7²
= 3640.1 / 20 - 161.29
= 180.005 - 161.29
= 18.715 (rounded to three decimal places)
Therefore, the variance of the given distribution is 18.715.
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The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x)
Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:
\(A = B\)
Step-by-step explanation:
See comment for complete question
Given
\(A: (4x^2 - 4x)(x^2 - 4)\)
\(B: (x^2 + x - 2)(4x^2 - 8x)\)
Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:
\(A: (4x^2 - 4x)(x^2 - 4)\)
Factor out 4x
\(A: 4x(x - 1)(x^2 - 4)\)
Apply difference of two squares on x^2 - 4
\(A: 4x(x - 1)(x - 2)(x+2)\)
For, Polynomial B: We have:
\(B: (x^2 + x - 2)(4x^2 - 8x)\)
Expand x^2 + x - 2
\(B:(x^2 + 2x - x - 2)(4x^2- 8x)\)
Factorize:
\(B:(x(x + 2) -1(x + 2))(4x^2- 8x)\)
Factor out x + 2
\(B:(x -1) (x + 2)(4x^2- 8x)\)
Factor out 4x
\(B:(x -1) (x + 2)4x(x- 2)\)
Rearrange
\(B: 4x(x - 1)(x - 2)(x+2)\)
The simplified expressions are:
\(A: 4x(x - 1)(x - 2)(x+2)\) and
\(B: 4x(x - 1)(x - 2)(x+2)\)
Hence, both polynomials are equal
\(A = B\)
A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
\(\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}\)
\(~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t\)
Find the greatest common factor of the following monomialsgh^5 10g^5h^4
Let's factor both expressions and see which ones are repeated:
• For gh⁵
We can rewrite this expression as g×h×h×h×h×h
• For 10g⁵h⁴
We can rewrite this expression as 10×g⁴×g×h×h×h×h
As you can see, both expressions have the factor g×h×h×h×h, we can rewrite it as gh⁴.
Then, the greatest common factor of the monomials is gh⁴.
you perform an experiment to determine how many breaths a fish takes per minute. your experiment yields the following data: minute 1:65 breaths; minute 2:73 breaths; minute 3:67 breaths; minute 4:71 breaths; minute 5:62 breaths. calculate the average number of breaths that a fish takes per minute.
The average breaths taken per minute by the fish is 22.53. This is obtained using the previous knowledge of average.
What do you mean by average?
An average is a single number that is used to represent an entire group of things. Averages are calculated by dividing the sum of all values by the total number of values.
Calculation of average number of breaths taken by a fish per minute
Given:
Breaths in 1 minute are 65
Breaths in 2 minutes are 73
Breaths in 3 minutes are 67
Breaths in 4 minutes are 71
Breaths in 5 minutes are 62
Total breaths = 65 + 73 + 67 + 71 + 62
= 338
Total time taken = 1 + 2 + 3 + 4 +5
= 15 minutes
The average number of breaths = total breaths / total time taken
= 338 / 15
= 22.53 breaths per minute
Hence, the average breaths taken per minute by the fish is 22.53.
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Gavin was thinking of a number. Gavin adds 9 to it, then doubles it and gets an answer of 83.2. What was the original number?
Answer: it is 32.6
Step-by-step explanation:
The orginal number that Gavin was thinking of is 32.60.
What is the original number?
Let the orginal number be represented with y
Gavin adds 9 to the original number: 9 + y
The answer is doubled: 2(9 + y)
The answer is 83.2: 2(9+y) = 83.2
In order to determine the value of y, take the following steps:
Divide both sides of the equation by 2
9 + y = 41.60
Subtract 9 from both sides of the equation
y = 41.60 - 9
y = 32.60
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You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point
Answer: 48 miles
Because north is straight from the starting point and you traveled 48 miles north so 48
Answer:
50 miles
Step-by-step explanation:
If you draw the shape
you'll roughly get the above mentioned one..
so it's a right angle triangle now
using Pythagoras relationship
48^2+14^2=x^2
2304+196=x^2
2500=x^2
x= 50
straight line distance aka displacement is 50 miles
reduce the answer to the lowest terms
13/2 . 4
Answer:
5 5/12
Step-by-step explanation: