Answer: B (18.5b-21.2)
The required expression −18.5b − 21.2 is equivalent to the given expression which is the correct answer that would be option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given the expression below as
5(−2.3b − 4.1) − (7b + 0.7)
Open the parentheses and apply the distributive property of multiplication,
⇒ −2.3b × 5 − 4.1 × 5 − 7b - 0.7
⇒ -11.5 - 20.5 − 7b - 0.7
Rearrange the likewise terms and apply the arithmetic operation,
⇒ −18.5b − 21.2
Hence, the required expression −18.5b − 21.2 is equivalent to the given expression.
Thus, the correct answer would be an option (A).
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Amanda's dog eats 7 1/2 Pounds of dog food in 2 weeks how much does amandas dog eat each day?
Answer:
0.535 pounds
Step-by-step explanation:
Answer:
15/28 pounds
Step-by-step explanation:
7 1/2 ÷ 14 days = 15/28
Encontrar el coeficiente de y en (3 xy+2)4
The required coefficient of y in \((3xy + 2)^4\) is 96x.
What is binomial expansion?The binomial expansion is a formula for expanding a binomial expression of the form \((a + b)^n\\\), where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.
Here,
We can use the binomial theorem to expand the expression,
\((3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4\)
where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.
The coefficient of y in the fourth term is given by the coefficient of (\(3xy)^1 (2)^3\). That is, we need to find the coefficient of y in the term:
\(C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy\)
Therefore, the coefficient of y in \((3xy + 2)^4\) is 96x.
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What would happen if Bees were to disappear (impacts) this is horticulture btw
Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.
Step-by-step explanation:
if a and b are similar n xn matrices, then they have the same characteristics polynomial, thus the same eignvalues. true or false g
The statement is true. If matrices A and B are similar n x n matrices, then they have the same characteristic polynomial, and thus the same eigenvalues.
Similar matrices have the property that they can be expressed in terms of each other through a similarity transformation. This means that there exists an invertible matrix P such that A = P⁻¹BP.
The characteristic polynomial of a matrix is defined as det(A - λI), where A is the matrix, λ is the eigenvalue, and I is the identity matrix. Since A and B are similar, we can express B as B = PAP⁻¹.
The characteristic polynomial of B:
det(B - λI) = det (PAP⁻¹ - λI)
= det(PAP⁻¹ - PλIP⁻¹) (since P⁻¹P = I)
= det(P(A - λI)P⁻¹)
= det(P) × det(A - λI) × det(P⁻¹)
= det(A - λI)
As you can see, the characteristic polynomial of B is equal to the characteristic polynomial of A, which implies that they have the same eigenvalues.
Therefore, if matrices A and B are similar nxn matrices, they have the same characteristic polynomial and the same eigenvalues.
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Please help problem 1) and 3) theorem 8, 2 inscribed Angles Intercept Same Arc, Find the measure of the arc or angle indicated
Answer:
problem 1 is 70 and problem 3 is 100
Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale
Both the tangents are equal to each other. Then the length of BC will be 5.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A tangent to a circle is a line that passes through the centre of the circle precisely once.
As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.
Then both the tangents are equal to each other.
The length of BC will be 5.
The diagram is shown below.
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Three consecutive integers sum to 36. Which integers are they?
11, 12, 13
Step-by-step explanation:
gb ndndhdyydhsbdgr
The key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution:
A) the random variable is continuous.
B)the trials are independent of each other.
C)the probability of success must be less than 0.5.
D)the probability of success changes from trial to trial.
The key difference between hypergeometric distribution and the binomial is which with the hypergeometric distribution,the probability of success changes from trial to trial.
The hypergeometric distribution is used when sampling without replacement whereas the binomial distribution is used when sampling with replacement.
We know in the hypergeometric distribution,
Each trial affects the probability of success for the remaining trials which is not the case in the binomial distribution where the trials are independent of each other.
The random variable in both distributions is discrete, not continuous.
There is no need for the probability of success to be less than 0.5 in either distribution.
Hence,
The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution, the probability of success changes from trial to trial.
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what’s the biggest difference between an area variance and a use variance?
The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.
An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.
In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.
Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.
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Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =
please help asapppppp
Answer:
45 degree
Step-by-step explanation:
What is the missing fifth term in this geometric sequence?
–1, 3, –9, 27, ___, 243, –729, . . .
Answer:
81
Step-by-step explanation:
:)))))))))
its correct
HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
Solve the right triangle, Please Do not Roundup. NEED HELP ASAP PLEASE.
The angles and length of the right triangle are as follows:
WX = 10√141 units
m∠X = 30°
m∠V = 60°
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
Trigonometric ratios can be used to find the side and angles of the right triangle as follows;
Therefore,
Using Pythagoras's theorem,
WX² = (20√47)² - (10√47)²
WX² = 400(47) - 100(47)
WX² = 18800 - 4700
WX = √14100
WX = 10√141
Let's find the angles
sin m∠X = opposite / hypotenuse
sin m∠X = 10√47 / 20√47
sin m∠X = 1 / 2
m∠X = sin⁻¹ 0.5
m∠X = 30 degrees
Therefore,
m∠V = 180 - 90 - 30
m∠V = 60 degrees
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in this activity, you will connect doing business with using the tools of algebra. You've seen a lot of scenarios in which people business use algebra to ensure or monitor their success, including maximizing profit, reaching revenue goals, and calculating the consequences of price increases. Imagine that you're involved in a business venture that could benefit from algebraic expressions and calculations . If you've been involved in such a business , recall what that experience entailed Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor . Also include ways in which the business might operate differently with those tools than without them.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Answer the following question :>
Answer:
9.5 cm
Step-by-step explanation:
simply add together
2.1+2.1+1+3.3+1
9.5
pls give brainliest
PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)
The solution is Option A.
The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the equation for the circle A be represented as
( x - 7 )² + ( y - 1 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )
Let the equation for the circle A be represented as
( x + 8 )² + ( y - 2 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )
So , the translation of circle A to B is given by
( 7 , 1 ) to ( -8 , 2 )
So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up
Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
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Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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Which solid has the top, the side, and the front views given?
Answer:
H
Step-by-step explanation:
Only H looks like a square from the top.
Answer: H
the basis for using a normal probability distribution to approximate the sampling distribution of the sample means and population mean is . a. the empirical rule b. chebyshev's theorem c. bayes' theorem d. the central limit theorem
The cοrrect answer tο the given questiοn is d. the central limit theοrem.
What is frequency distributiοn?The gathered data is arranged in tables based οn frequency distributiοn. The infοrmatiοn cοuld cοnsist οf test results, lοcal weather infοrmatiοn, vοlleyball match results, student grades, etc. Data must be presented meaningfully fοr understanding after data gathering. A frequency distributiοn graph is a different apprοach tο displaying data that has been represented graphically.
The basis fοr using a nοrmal prοbability distributiοn tο apprοximate the sampling distributiοn οf the sample means and pοpulatiοn mean is the central limit theοrem.
The central limit theοrem states that fοr a sufficiently large sample size, the sampling distributiοn οf the sample means will be apprοximately nοrmal, regardless οf the shape οf the pοpulatiοn distributiοn. This theοrem allοws us tο make statistical inferences abοut the pοpulatiοn mean based οn the sample mean using the prοperties οf the nοrmal distributiοn, such as the mean and standard deviatiοn.
Therefοre, the cοrrect answer tο the given questiοn is d. the central limit theοrem.
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which two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers? (select all that apply.)
a. sine
b. cosine
c. tangent
d. cosecant
e. secant
f. cotangent
The cosecant, secant, and cotangent functions are defined as the reciprocals of the sine, cosine, and tangent functions, respectively which have two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers.
These functions also have a period of 2π and their ranges depend on the range of the corresponding parent function.
Therefore, correct answer will be a. sine, b. cosine and c. tangent.
The trigonometric functions are mathematical functions used to describe relationships involving lengths and angles of triangles. These functions include sine, cosine, tangent, cosecant, secant, and cotangent. Each of these functions has its own unique properties, including period and range.
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How do you solve a differential equation with exponential equations?
To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.
For example, consider the differential equation dy/dx = 2y.
Isolate the dependent variable to get y = dx/2.
Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).
Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).
Solve for ln(y) to get ln(y) = ln(dx) - ln(2).
Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).
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The currency in China is the Yuan. The
exchange rate is approximately $1 for
every 8 Yuan. At this rate, how many
Yuan would you get if you exchanged $10?
Answer:
80 Yuan for 10 Dollars
Step-by-step explanation:
1 dollar = 8 yuan
10 x 8 = 80
Answer:
80 yuan
Step-by-step explanation:
$1= 8
you have $10
10*8= 80
What is the value of the expression: -0.75-(-1/5)+0.2+(-3/4)?
Answer:
-1.1Step-by-step explanation:
−0.75−(−1/5)+0.2−3/4
=−0.55+0.2−3/4
=−0.35−3/4
=−11/10
=-1.1
you're welcome (sorry if it is choppy)
You wish to test whether an association exists between a categorical variable (such as a rank of a professor at a university, assuming four ranks) and a numerical variable (such as yearly salary).
To test for an association between a categorical variable and a numerical variable, you can use a statistical method called Analysis of Variance (ANOVA).
In this case, you would use a one-way ANOVA to compare the mean salaries of professors across the four different ranks. This would allow you to determine if there is a significant difference in salary between the different ranks. It is important to note that ANOVA assumes that the numerical variable is normally distributed and that the variances are equal across the different groups. Additionally, post-hoc tests may be necessary to determine which specific groups have significantly different mean salaries. Keep in mind that the sample size and distribution of data can affect the validity of your results. A larger sample size and more normally distributed data will generally result in more accurate conclusions. To test the association between a categorical variable (professor rank with four levels) and a numerical variable (yearly salary), you can use the Analysis of Variance (ANOVA) test. ANOVA helps determine if there are significant differences among the means of different groups (ranks) and if these differences are not due to random chance. If the ANOVA test results show a significant association, it implies that the professor's rank is related to their yearly salary.
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Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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X=
Please see attached problem
PWEASE HELP ME PLEASE PLEASE PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE
Answer:
55ft
Step-by-step explanation:
) the sun will rise tomorrow. b) it will rain tomorrow. c) you will see a dog with only three legs when you leave the room. d) a fair die will come up with a score of 6 four times in a row. e) there will be a plane crash somewhere in the world within the next five minutes.
Hi! I'd be happy to help answer your question.
a) The sun will rise tomorrow. This is a scientifically predictable event. The rotation of the Earth causes the sun to appear to rise in the morning.
b) It will rain tomorrow. The weather is influenced by various factors such as air pressure, temperature, and humidity. Weather forecasts are made based on these factors, but they are not always 100% accurate.
c) You will see a dog with only three legs when you leave the room. Since I am an AI, I cannot see the physical world. However, if there is a dog with only three legs in the room.
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Out of the given statements, "the sun will rise tomorrow" can be considered as the only statement that can be confidently concluded as true. The rising of the sun is a natural occurrence that happens every day. It is supported by scientific knowledge and observations made over centuries. The rotation of the Earth causes the sun to appear to rise and set. The option (a) is correct.
On the other hand, statements b, c, d, and e cannot be conclusively determined as true or false without further information or evidence. These statements involve future events or specific occurrences that cannot be predicted with certainty.
Statement b, "it will rain tomorrow," depends on weather conditions that are subject to change. While meteorologists can provide forecasts, they are not always accurate, as weather patterns can be unpredictable.
Statement c, "you will see a dog with only three legs when you leave the room," depends on factors such as the presence of a dog in the vicinity and the likelihood of encountering a dog with a specific disability. It is highly unlikely to be true for the majority of people.
Statement d, "a fair die will come up with a score of 6 four times in a row," depends on the probability of rolling a specific number on a fair die. The probability of rolling a 6 four times in a row is very low, but not impossible.
Statement e, "there will be a plane crash somewhere in the world within the next five minutes," depends on numerous factors related to air travel and global incidents. While plane crashes do occur, predicting them within a specific timeframe is not possible.
Thus, the option (a) is correct.
Therefore, out of the given statements, only the first statement, "the sun will rise tomorrow," can be considered as a correct answer. The remaining statements require further evidence or are dependent on unpredictable factors.
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A rectangle is graphed on the coordinate grid. On a coordinate plane, side J has points (negative 5, 4) and (3, 2), side K has points (3, 2) and (0, negative 10), side L has points (negative 8, negative 8), and side M has points (negative 8, negative 8) and (negative 5, 4). Which represents the equation of a side that is perpendicular to side K? y = one-fourth x minus 10 y = negative one-fourth x minus 10 y = 4 x + 24 y = 4 x minus 10
Answer:
y =-1/4x - 10
Step-by-step explanation:
just got this question correct on my test
Answer:
Its B
Step-by-step explanation: