Answer: B
Step-by-step explanation:
Just square the variables outside the square root and multiply them with 5a.
Answer:
Option B
Step-by-step explanation:
\(3ab {}^{2} {c}^{3} \sqrt{5a} \\ \)
\( \sqrt{3ab {}^{2} {c}^{3} \times 3ab {}^{2} {c}^{3} \times 5a } \\ \)
\(\sqrt{9a {}^{2} b {}^{4} {c}^{6} \times 5a } \\ \)
\(\sqrt{45a {}^{3} b {}^{4} {c}^{6} } \\ \)
Thus, The answer is √45a³b⁴c⁶
-TheUnknownScientist 72
Find the measure of angle 1.
5)
AB is a straight line.
A
152⁰
B
Let that angle be x
Linear pairs are supplementary
So
152+x=180x=180-152x=28°I need help What would the answer be
Which sign makes the statement true?
590 ? 5 × 10^2
(>) (<) (=).
Answer:
590 > 5 × 10^2
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
5×10^2=5×10×10=500, therefore 590>500
Plz help badly need help plz
9514 1404 393
Answer:
dividemultiply49Step-by-step explanation:
In each case, you divide by the coefficient of x. Here, dividing by -1/7 is the same as multiplying by -7.
The first two answers are correctly chosen.
___
Then the ratio of the solutions is 63.7/1.3 = 49, easily calculated from the numbers given.
The second solution is 49 times the first.
Find the dimensions of a rectangle with area \( 1,000 \mathrm{~m}^{2} \) whose perimeter is as small as possible. (If both values are the same number enter it into both blanks.) \( m \) (smailer value
The dimensions of the rectangle with the smallest possible perimeter for an area of 1,000 m² are 25 m by 40 m.
To find the dimensions of a rectangle with the smallest possible perimeter for a given area, we need to consider the relationship between the length and width of the rectangle. Let's assume the length is L and the width is W.
Express the area in terms of L and W.
The area of a rectangle is given by the formula A = L * W. In this case, the area is 1,000 m², so we have the equation 1,000 = L * W.
Express the perimeter in terms of L and W.
The perimeter of a rectangle is given by the formula P = 2L + 2W. Since we want to minimize the perimeter, we need to minimize the sum of L and W.
Determine the dimensions with the smallest possible perimeter.
Using the equation from Step 1, we can solve for one variable in terms of the other. Let's solve for L: L = 1,000 / W.
Substituting this expression for L into the perimeter equation from Step 2, we get P = 2(1,000 / W) + 2W.
To find the value of W that minimizes the perimeter, we take the derivative of P with respect to W and set it equal to zero. After solving the derivative, we find that W = 25.
Substituting this value of W back into the equation for L, we get L = 40.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
Its A
Step-by-step explanation
just trust me
simplify -(6x + 22) - 8(3 - x)
A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees?
Answer:
12:5
Step-by-step explanation:
7 of 9 The graph shows the speed (m/s) of a car for 40 seconds. By using a single appropriate trapezium, estimate the distance travelled by the car in those 40 seconds. 20 T Speed (m/s) 15 10 LO 5 0 0 5 10 15 20 Time (seconds) 30 35 40 +25
Therefore , the solution of the given problem of speed comes out to be the average distance travelled is 225 meters.
What exactly is speed?We can determine how fast that anything is traveling by looking at it from a distance. The amount of distance an object can go in a given length of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most used units of speed are meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) (mph).
Here,
Given :
Time = 40 seconds.
To find the distance:
We use speed and time formula
=> distance = speed * time
=> distance = 15 * 30
=> distance = 225 meters.
Therefore , the solution of the given problem of speed comes out to be the average distance travelled is 225 meters.
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Please help me, I don't get this question...
Since the price must be positive, the lowest price that would need to be charged to break even is $0.56 per bike.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.
Here,
The profit, P, for bike sales in terms of the price charged per bike, p, is given by the equation:
P = -p² + 215p - 5923
a) To break even, the profit P must be zero, since the revenue earned from selling bikes would be equal to the cost of producing and selling them. So we can set P = 0 and solve for p:
0 = -p² + 215p - 5923
Using the quadratic formula, we get:
p = (-b ± √(b² - 4ac)) / 2a
where a = -1, b = 215, and c = -5923. Substituting these values, we get:
p = (-215 ± √(215² - 4(-1)(-5923))) / 2(-1)
p = (-215 ± √(45721)) / (-2)
p = (215 ± 213.88) / 2
p = 214.44 or 0.56
b) To find the price that would give the largest profit, we can take the derivative of the profit function with respect to p and set it equal to zero:
dP/dp = -2p + 215 = 0
Solving for p, we get:
p = 107.5
So the price that would give the largest profit is $107.50 per bike.
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42. Find the equation of the sphere with center C(−2,3,7) that is tangent to the plane 2x+3y−6z=5.
To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:
Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)
In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:
Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)
= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)
= |-42| / sqrt(49)
= 42 / 7
= 6
So, the radius of the sphere is 6.
The equation of a sphere with center C(-2, 3, 7) and radius 6 is:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2
Simplifying further, we have:
(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36
Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.
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I really need help with b and c
Answer:
Step-by-step explanation:
I dont know which b and c you are talking about, so...
3) b) 8, c) 19
4) b) 10, c) 16
Hope its helps u
Thank You
Please mark as brainliest
One teacher wants to give each student 3/7 of a slice of pizza. If the teacher
has 3 slices of pizza, then how many students will she be able to hand out pizza to?
Answer:
Step-by-step explanation:
3 divided by 3/7= 7
7 students
median of 0,78,99,58,65,0,47,38,227
Answer:
58
Step-by-step explanation:
Put the numbers in chronological order and find the middle number
0, 0, 38, 47, 58, 65, 78, 99, 227
Helping in the name of Jesus.
A textile manufacturing process finds that on average, two flaws occur per every 50 yards of material produced. a. What is the probability of exactly two flaws in a 50-yard piece of material
The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2706 or 27.06%.
In order to determine the probability of exactly two flaws in a 50-yard piece of material, we will use the Poisson distribution formula.
The Poisson distribution is used to calculate the probability of a given number of events occurring in a fixed interval of time or space when these events happen independently of each other and at an average rate.
To find the probability of exactly two flaws in a 50-yard piece of material, we will use the following formula:
P(X = k) = (e^(-λ) * λ^k) / k!
Where: P(X = k) is the probability of k flaws occurring in a 50-yard piece of material
λ = the average rate of flaws per unit of material (in this case, 50 yards)
k = the number of flaws we want to calculate is the mathematical constant ≈ 2.71828...
k! is the factorial of k, which is the product of all positive integers up to k
Let's plug in the values we have for this problem:
P(X = 2) = (e^(-λ) * λ^2) / 2!
λ = 2 flaws per 50 yards of material produced = 2/50 = 0.04 flaws per yard.
Therefore, the average number of flaws in a 50-yard piece of material is:
λ = 0.04 * 50 = 2e is a mathematical constant that equals ≈ 2.71828...
Then, let's plug in these values into the formula:
P(X = 2) = (e^(-2) * 2^2) / 2!P(X = 2) = (0.1353 * 4) / 2P(X = 2) = 0.2706
The probability of exactly two flaws occurring in a 50-yard piece of material is 0.2706 or approximately 27.06%.
Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2706 or 27.06%.
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find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
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Evan's school band is selling candy bars to help pay for new instruments. Evan has 40 candy bars to sell and sold 15 candy bars in 3 days. Assuming Evan is selling his candy bars at a constant rate, write a linear equation to represent the total number of candy bars y Evan has after x days. At this rate, how many days until Evan has all of his remaining candy bars sold?
Evan will need 6 days to sell all of his remaining candy bars.
What exactly is Rate?A rate in arithmetic is a ratio that compares two distinct values with different unit systems. For example, if John types 50 words per minute, he is typing 50 words per minute. Because the word "per" appears, we are dealing with a rate. In problems, the symbol "/" can be used in place of the word "per".
A ratio is used when two or more similar amounts or figures are compared using the same units. In spoken language, the ratio of one quantity "to" the second quantity is commonly written with a colon.
The equation for Evan's candy bar sales can be written as:
y = 5x + 25
We multiply 40 by 15 to account for the 15 candy bars Evan has previously sold as well as the 25 candy bars he started with (40 - 15 = 25).
To determine how many days it will take Evan to sell all of his remaining candy bars, we can set y to 40 (the total number of candy bars Evan began with) and solve for x:
40 = 5x + 25
15 = 5x
x = 3
As a result, Evan will need 6 days to sell all of his remaining candy bars.
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Convert the patient’s temperature to Fahrenheit. Be sure to show your calculations!
The temperature: 37.2℃
Step-by-step explanation:
°c to °F = (°c × 9/5) + 32
= ( 37.2 × 9/5) + 32
= 66.96 + 32
= 98.96 °F
if this helped pls give brainliest
#8
Please help
Extra 100 points
And brainliest
Answer:
When x < 0 (Option 1)
Step-by-step explanation:
The answer to your question would be Option 1, or when x < 0. When you create a table with f(x) and g(x), they're only ever equal when x = 0, which is when f(x) and g(x) both equal 1. When the numbers go into negatives for each equation, f(x) becomes exponentially bigger. Making f(x) > g(x) true when x < 0.
Hope this helps!
write two numbers that when rounded to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000, then find the exact sum and the exact difference, I am stuck and having a really hard time helping my daughter with this
The two numbers are 4000 and 7000
The estimated sum and difference are 11000 and 3000 respectively
Explanations:According to the question, the addition of the two numbers should be 11000, and the difference should be 3000.
Let the first number be represented as x
Let the second number be represented as y
The sum of the two numbers is 11000.
Mathematically,
x + y = 11000..................(1)
The difference of the two numbers is 3000.
Mathematically,
x - y = 3000................(2)
Subtract equation (2) from equation (1), the resulting equation will be:
2y = 8000
y = 8000/2
y = 4000
Substitute the value of y into (1)
x + 4000 = 11000
x = 11000 - 4000
x = 7000
The two numbers are 4000 and 7000
Pls help me with this question
is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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the exponential function f(x) has a horizontal asymptote at y=3 what is the end behaviour of f(x)?
Answer: C) as x → -∞, y → 3
as x→ ∞ , y → ∞
Step-by-step explanation:
see graph
Notice that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
And as x approaches positive infinity (goes to the right), the y-value increases without bound so goes to infinity.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound. the option C is correct.
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
Their usual form is specified below. They are written in several such equivalent forms.
From the graph, we can see that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
As x approaches more negative the function will approach the horizontal asymptote,
so lim(f(x)) = 3 as x → -∞.
As x approaches more positive, so does the function,
so lim(f(x)) → +∞ as x → +∞.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound.
Hence, the option C is correct.
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What is: 8x + 7 - 3x
Answer: 5x + 7
Step-by-step explanation:
Combine like terms
18 less than a number
Answer:
Step-by-step explanation:
The answer is simple
18 - 1 = 17
Answer:
18<b
Step-by-step explanation:
b can repersent any number and you can use any letter in replace of b.
Hope this helps!
CAN ANYOKE PLEASE HELP ME OUT!
Simplify
Answer:
\(24x^1^3\)
Step-by-step explanation:
\((2x^3)^3 *3x^4\\2^3x^3^*^3*3x^4\\8x^9*3x^4\\(8*3)x^9^+^4\\24x^1^3\)
the length of the diagonal square is...
4 units
4√3 units
4√2 units
8 units
additionally, the area of the square is...
16 square units
16√2 square units
32 square units
does anyone know this???
The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.
help me human..... :(
Answer:
D
Step-by-step explanation:
I will give brainlist!
-8/13 x 26/-3 = -208/-39 = 16/3.
16/3, D
Answer:
D. (16/3)
Step-by-step explanation:
-8 26
------- × -------
13 -3
Multiply the top and the bottom together.
--------------------------------
-8 x 26 = -208
13 x -3 = -39
---------------------------------
-8 26 -208
------- × ------- = --------
13 -3 -39
Simply the fraction
-208 ÷ 13 -16
------------ = ----------
-39 ÷ 13 -3
Cancel out the negatives
-16 16
------- = -------
-3 3
I hope this helps!