Answer:
12a^3+30a^2
Step-by-step explanation:
6a^2(2a+5)
12a^3+30a^2
Simplify (write in the smallest terms) the following expressions using the laws of exponents and distribution.:))) I WILL GIVE BRAINLIST: )))
Answer:
What is the equation without it I would say it is g or e
Step-by-step explanation:
if each flash is .1 lumens and we want 40 lumens at least 70% of the time, how many fireflies do we need?
4373 are many fireflies do we need linear equation.
What is an explanation of a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens
P(X>400) = 0.7 (given information)
P(X < 400) = 0.3
P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)
z0 = -1.88 = (400 - E(X))/V(X)
= -1.88V = 400 - E
= -1.88 √(n*0.1*0.9) = 400 - n*0.1
= -1.88*0.3√n = 400 - 0.1n
= 0.1n - 0.564√n - 400 = 0
n = 4373
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What is the value of sin 2900 + cos 2900 ?
Answer:
-1.25737973739
Step-by-step explanation:
plz make it brillent ans
What’s the the value of x
Answer:
\(\sqrt{45}\)
Step-by-step explanation:
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be ... at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. 2.
Answer:
concrete jungles where dreams are made of
Step-by-step explanation:
Answer:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Step-by-step explanation:
Sample response :)
Divide 21 boxes into two groups so the ratio is 2 to 5
Divide 21 boxes into two groups so the ratio is 2:5 is 6 boxes and 15 boxes.
In this section, the terms ratio and percentage are defined. Many examples where the notion of the ratio is highlighted may be found in daily life, such as the rate of speed (distance/time) or price (rupees/meter) of a substance.
Sum of the ratio given is=2+5=7
Now to divide 21 into two groups in the ratio 2:5 , we have to use sum of the ratio.
first group is =\(\frac{2}{7}\)×21
first group is =6
and second group is =\(\frac{5}{7}\)×21=15
Hence the first group will get 6 boxes while other will get 15 boxes.
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do you need to perform a post hoc on an anova that has three levels and has significant findings for that factor?
Yes, a post hoc test should be performed after an ANOVA with three or more levels if the ANOVA finds a significant result.
Post hoc tests are used to determine which specific levels within the factor are responsible for the significant result.
1. An ANOVA is performed to test if there is a significant difference between the means of three or more levels of a factor.
2. If the ANOVA finds a significant result, then a post hoc test should be performed to determine which specific levels within the factor are responsible for the significant result.
3. Post hoc tests compare the means of each level of the factor to determine which levels are significantly different from each other and which are not.
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in san francisco, 30% of workers take public transportation daily. for a sample of 10 workers, compute the standard deviation?
The standard deviation for a sample of 10 workers in San Francisco, where 30% of workers take public transportation daily ≈ 1.45.
To compute the standard deviation for a sample of 10 workers in San Francisco, where 30% of workers take public transportation daily, we need to make some assumptions and use the formula for the standard deviation of a binomial distribution.
Assuming that the workers are selected randomly and independently from the population, we can model the number of workers who take public transportation daily as a binomial distribution with parameters n = 10 (sample size) and p = 0.3 (probability of success).
The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ = √(n * p * q)
where q = 1 - p is the probability of failure.
Substituting the provided values, we have:
σ = √(10 * 0.3 * 0.7)
= √(2.1)
≈ 1.45
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A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E
Answer:
(smallest, largest) = (B, C), (D, E), (G, J)
Step-by-step explanation:
Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.
__
ΔABCThe shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.
smallest angle: Blargest angle: CΔDEFThe shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.
smallest angle: Dlargest angle: EΔGHJThe shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.
smallest angle: Glargest angle: J_____
Additional comment
Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.
the tuition at a certain college was $29,694 last year and increased 5.6% from last year to the current year. how much is this year's tuition?
the tuition at a certain college was $29,694 last year
Intial Tution fees of college = $29,694
increased 5.6% from last year to the current year
i.e. Increased fees amonut = 5.6% of intial fees
So, tution of college at present year is : Intial Tution fees of college+ 5.6% of intial fees
\(\begin{gathered} \text{Tution f}ees\text{ of college at present year = 29694+5.6\% of 29694} \\ \text{Tution f}ees\text{ of college at present year }=29694+\frac{5.6\times29694}{100} \\ \text{Tution f}ees\text{ of college at present year }=29694+1662.864 \\ \text{Tution f}ees\text{ of college at present year }=31356.864 \end{gathered}\)So, This year tution fees is $31356.864
In the nearest dollars it will be: $31357
If y < -2x + 10 which of the following are viable solutions?
Answer:
y < 12x
....................
The shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.
What is a expression? What is a mathematical equation? What is inequality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. An inequality is used to compare two or more mathematical expressions.
We have the following inequality -
y < -2x + 10
We can write -
y < -2x + 10
Refer to the graph of the inequality attached. The shaded region represents the viable solution ordered pairs.
Therefore, the shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.
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Which of the following gives you the same unit rate as seven ounces for $1.75 multiple answers are possible choose all that apply you must show your work to get for credit
Options A, B, and C all give us the same unit rate as seven ounces for $1.75, which is $0.25 per ounce.
To find the unit rate for seven ounces for $1.75, we divide the cost by the amount:
$1.75 ÷ 7 ounces = $0.25 per ounce
The unit rate is the cost per unit of measurement. In this case, we are given the cost of $1.75 for 7 ounces, and we need to find the cost per ounce. To do this, we divide the cost by the amount.
To check which options give us the same unit rate as $0.25 per ounce, we need to divide the cost by the amount for each option.
For example:
- Option A: 14 ounces for $3.50
$3.50 ÷ 14 ounces = $0.25 per ounce
- Option B: 21 ounces for $5.25
$5.25 ÷ 21 ounces = $0.25 per ounce
- Option C: 35 ounces for $8.75
$8.75 ÷ 35 ounces = $0.25 per ounce
Therefore, options A, B, and C all give us the same unit rate as seven ounces for $1.75, which is $0.25 per ounce.
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a. The product of any three consecutive integers is divisible by \( 6 . \) (3 marks)
The statement is true. The product of any three consecutive integers is divisible by 6.
To prove this, we can consider three consecutive integers as \( n-1, n, \) and \( n+1, \) where \( n \) is an integer.
We can express these integers as follows:
\( n-1 = n-2+1 \)
\( n = n \)
\( n+1 = n+1 \)
Now, let's calculate their product:
\( (n-2+1) \times n \times (n+1) \)
Expanding this expression, we get:
\( (n-2)n(n+1) \)
From the properties of multiplication, we know that the order of multiplication does not affect the product. Therefore, we can rearrange the terms to simplify the expression:
\( n(n-2)(n+1) \)
Now, let's analyze the factors:
- One of the integers is divisible by 2 (either \( n \) or \( n-2 \)) since consecutive integers alternate between even and odd.
- One of the integers is divisible by 3 (either \( n \) or \( n+1 \)) since consecutive integers leave a remainder of 0, 1, or 2 when divided by 3.
Therefore, the product \( n(n-2)(n+1) \) contains factors of both 2 and 3, making it divisible by 6.
Hence, we have proven that the product of any three consecutive integers is divisible by 6.
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Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x + 6y + 5y – 35x
Answer:
2x - 3x -6y - 5y +35x
Step-by-step explanation:
-3 multiplied by x is -3x
-3 multiplied by +2y is -6y
-5 multiplied by y is -5y
-5 multiplied by -7x is +35x
2x remains the same.
Answer:
c. 2x – 3x – 6y – 5y + 35x
Step-by-step explanation:
edge 2021
(:
what is the correlation
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
Please help! I will mark as brainliest IF answer is right. <3
Answer:
1. Yes it's a function
2. -10, -5, -4, 2, 5, basically anything in the x value slot
3. -5, -10, 5, 8, -7, basically anything in the y value slot.
Step-by-step explanation:
I took the values and interpreted them appropriately to domain or range.
Answer:
Yes, This relation is a function...The domain of relation is {-10,-5,-4,2,5}
The range of relation is {-5,-10,5,8,-7}
Hopefully it will help you
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When two triangles are similar the corresponding sides are always in the same ratio.
If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ
\(\frac{MN}{XY}=\frac{NP}{YZ}=\frac{MP}{XZ}\)\(\frac{MN}{6}=\frac{MP}{7}=\frac{NP}{9}\)Prove each of the given options lengths to find the one that makes the equation above be true:
Pair corresponding sides ordering its lengths from least XY to greatest YZ
First option:
\(\begin{gathered} \frac{12}{6}=\frac{14}{7}=\frac{20}{9} \\ 2=2=2.22 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Second option:
\(\begin{gathered} \frac{30}{6}=\frac{35}{7}=\frac{45}{9} \\ 5=5=5 \\ \end{gathered}\)As the ratios are the same that can be the lengths of MNP
Third option:
\(\begin{gathered} \frac{13}{6}=\frac{14}{7}=\frac{16}{9} \\ 2.16=2=1.77 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Fourth option:
\(\begin{gathered} \frac{3}{6}=\frac{4}{7}=\frac{5}{9} \\ 0.5=0.57=0.55 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Then, the lengths of MNP could be: 30cm,35cm,45cmanswer plsss answer plss
Answer:
b 2,3,8
Step-by-step explanation:
Y=234678
Z=278910
X=12358
234678910 n 12358
=238
Gabriel used the expression 2. 5x 2y – 2 to represent his total cost, and 28 – 2. 5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?
The error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The expression used by the Gabriel to represent his total cost is,
\(2.5x+2y - 2\)
As, Gabriel has to receive the change amount of $30. Thus, he has to subtract this amount from the total cost. This statement can be present as,
\(\rm Change=30-(2.5x+2y - 2)\\\rm Change=30-2.5x-2y + 2\\\rm Change=32-2.5x-2y\)
Now, the expression used by him to represent the amount of change he should receive from $30 is,
\(28 -2.5x - 2y\)
Hence, the error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
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Mr. Sugar baked a sheet cake in the shape of a rectangular prism. The cake was 24 in. by 15 in. by 3 in. high. He spread icing on all four sides and the top. How many square inches of icing did he use?
Answer:
954 in²
Surface-Area-Cube:
2(LW + HW + HL)2(24*15 + 3*15 + 3*24)2(360 + 45 + 72)2(477)954 in²the school cafeteria orders for cartons of regular milk for every three cartons of chocolate milk a. complete the bar diagram to show the ratio b. the school ordered 120 cartons of regular milk. Divide 120 cartons of regular milk by underscore_because there are__boxes in the top row c.write the value of each box in both rows of the bar diagram d.how many cartons of chocolate milk did the school order?
1) Gathering the data
a) Since each Regular milk has four cartons and chocolate 3. If we multiply by 30 we get 120 for Regular Milk and 90 for Chocolate Milk
Regular Milk 4
Chocolate Milk: 3
Regular Milk: 120
Chocolate Milk: 90
The ratio is 4/3, 4 cartons of regular milk for every 3 cartons of chocolate milk.
b) Divide the 120 cartons by 30 because there are 4 boxes in the top row
c) write the value of each box in both rows of the bar diagram
d) According to the bar graph the School ordered 90 cartons of chocolate milk
For his phone service, Chris pays a monthly fee of $25, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $86.74.
What are the possible numbers of minutes he has used his phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answer:
1029 minutes or 17.15 hours
Step-by-step explanation:
25+0.06M=86.74
0.06M=61.74
M=61.74/0.06=1029
Find the result of |x-1|=2
The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).
One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)
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please it do in 6 min i need help with this one please The following points are from a dilation. If
B(0 , 5 ) and B'(x, 2 0 ), what is x?
Answer:
The value of x = 0
Step-by-step explanation:
Given
B(0, 5)B'(x, 20)To determine
The value of x = ?
If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).
i.e. y → 5×4 =20
It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.
Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.
i.e. x → 4×0 = 0
Thus, the rule of dilation is:
P(x, y) = P'(4x, 4y)
Hence,
B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)
Thus,
The value of x = 0 ∵ 0×4 = 0
Rewrite the expression 2x + 5x/x+3 as one rational expression that is equivalent to the expression for all x values, where x ≠ -3.
I need an answer fast please this is due in 3 days and I don't know how to do it. Thanks in advance!
The equivalent rational expression for 2x + 5x/x+3 for all x values where x ≠ -3 is (2x^2 + 11x)/(x+3).
To rewrite the expression 2x + 5x/x+3 as one rational expression, we first need to simplify the expression 5x/x+3 by dividing both the numerator and denominator by x. This gives us:
5x/x+3 = 5/(1+3/x)
Now we can substitute this simplified expression back into the original expression and get:
2x + 5x/(x+3) = 2x + 5/(1+3/x)
To make this into one rational expression, we need to find a common denominator for the two terms in the expression. The common denominator is (x+3)/x. Multiplying the first term by (x+3)/x and simplifying, we get:
2x(x+3)/x + 5/(1+3/x) = (2x^2 + 6x)/x + 5/(1+3/x)
Now we can combine the two terms over the common denominator and simplify:
(2x^2 + 6x + 5x)/(x(1+3/x)) = (2x^2 + 11x)/(x+3)
Therefore, the equivalent rational expression for 2x + 5x/x+3 for all x values where x ≠ -3 is (2x^2 + 11x)/(x+3).
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Which of the following functions is graphed below?
Answer:
B.) y = |x + 4| - 2
Step-by-step explanation:
When values are added directly to "x", the function shifts to the left. When values are subtracted from "x", the graph shifts to the right. Because this graph has been shifted 4 units to the left, the function must be |x + 4|.
When values are added to the overall function, the graph shifts upwards. When values are subtracted from the overall function, the graph shifts downwards. Because the peak of this graph seems to have shifted downwards 2 units, there must be a (-2) in the function.
Therefore, the function must have the equation y = |x + 4| - 2.
question 1 options: calculate the overall speedup of a system that spends 55% of its time on i/o with a disk upgrade that provides for 50% greater throughput. enter integer number with no % sign as the answer.
To calculate the overall speedup of a system that spends 55% of its time on I/O with a disk upgrade that provides for 50% greater throughput, we need to determine the impact of the upgrade on the overall system time.
If the system spends 55% of its time on I/O, then the remaining 45% of the time is spent on other tasks. With a disk upgrade that provides for 50% greater throughput, the I/O time can be reduced by 50% of its original value.
To calculate the overall speedup, we need to consider the weighted impact of the improvement. Since the I/O time contributes 55% to the overall system time, the speedup of that portion will have a 55% weight in the overall speedup calculation.
The overall speedup can be calculated as follows:
Overall Speedup = 100% - (55% * 50%) = 100% - 27.5% = 72.5%
Therefore, the overall speedup of the system with the disk upgrade is 72.5, expressed as an integer value without the percentage sign.
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2 Which ordered pairs represent vertices of the
polygon?
Circle THREE correct answers.
(-11, 13)
(1, -1)
(1/4 , 2 2/1)
(1,-3)
The ordered pairs representing the vertices of a polygon are
(-11, 13) , (1, -1) and (1,-3).
Given, the ordered pairs representing the vertices of the polygon.
as, the given ordered pairs are
(-11, 13) , (1, -1) , (1/4 , 2(2/1)) , (1,-3).
Now, from the given ordered pairs
the pairs which are representing the vertices of a polygon are
(-11, 13) , (1, -1) and (1,-3).
So, the ordered pairs representing the vertices of a polygon are (-11, 13) ,
(1, -1) and (1,-3).
Hence, the ordered pairs representing the vertices of a polygon are
(-11, 13) , (1, -1) and (1,-3).
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Complete the square to re-write the Quadratic function in vertex form
The vertex form of the given quadratic equation is.
y = -5(x + 6)² - 356
How to complete squares?To complete squares we need to use the perfect square trinomial:
(a + b)² = a² + 2ab +b²
Here we can rewrite our quadratic as follows:
y = -5x² - 60x - 176
y = -5*( x² + 12x) - 176
y = -5*( x² + 2*6x) - 176
Now we can add and subtract 6² = 36 then we will get:
y = -5*( x² + 2*6x + 36 - 36) - 176
y = -5*( (x + 6)² - 36) - 176
y = -5(x + 6)² - 356
Which means that the vertex is at (-6, -356)
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min ti x₁ = x₂-u x₂ = u -144²1 (x₁, x₂) arbitrary starting point. Let (0,0) be the Check whether situation (x₁, x₂)→ (0,0) shortest time is met. the beginning of the the coordinate. generality condition of the
It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
Here, we have,
given that,
min t_i
x₁ = x₂-u
x₂ = u
-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.
and origin (0,0) be the begging of the coordinate.
also given that, (x₁, x₂)→ (0,0)
so, min t_i at origin (0,0) = t
Therefore, the generality condition of the situation does not met.
so, we get,
The given system can be represented by the following equations:
x₁' = x₂ - u
x₂' = u
To analyze the behavior of the system, we can examine the dynamics of each variable separately.
For x₁:
x₁' = x₂ - u
The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.
For x₂:
x₂' = u
The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.
Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).
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