negative 7 over 3, the whole multiplied by x minus 3 equals negative 52
Answer:
21
Step-by-step explanation:
Which statement does not describe the tangent function?
A. The cycle repeats every 2pi radians.
B. Its range includes all real numbers.
C. Its reciprocal function is cotangent.
D. The graph has asymptotes, including one at x =pi/2
radians.
Answer:the cycle repeats every 2pi radians
Step-by-step explanation:
Answer:
The statement which does not describe the tangent function is A. The cycle repeats every 2pi radians.
Step-by-step explanation:
Tangent functionThe tangent function is the ratio of the length of the opposite side to that of the adjacent side. It is also described as the ratio of sine and cos .
If we analyses the tan function graph we will happened to find that it repeats itself after every π radian .
So, its cycle cannot repeat every 2pi radians.
Therefore, The statement which says that The cycle repeats every 2pi radians does not describe the tangent function.
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Kaizen is a Japanese word that means continuous development. It says that each day we should focus on getting 1% better on whatever we're trying to improve.
How much better do you think we can get in a year if we start following Kaizen today?
Note: You can take the value of
(1.01)^365 as 37.78.
If we follow Kaizen's principle and improve by 1% each day, we can get approximately 37.78 times better in a year.
If we follow Kaizen's principle of improving by 1% each day, we can calculate how much better we will get in a year by using the formula:
Final Value = Initial Value x (1 + Daily Improvement Percentage)^Number of Days
Since we are trying to calculate how much better we can get in a year, we can plug in the following values:
Initial Value = 1 (assuming we are starting from our current level of performance)
Daily Improvement Percentage = 0.01 (since we are trying to improve by 1% each day)
Number of Days = 365 (since there are 365 days in a year)
Using these values, we get:
Final Value = 1 x (1 + 0.01)³⁶⁵
Final Value ≈ 1 x 37.78
Final Value ≈ 37.78
This shows the power of continuous improvement and the importance of consistent effort towards our goals.
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The Great Pyramid of Egypt was built for Queen Cleopatra.
True
or
False
Answer:
False
Step-by-step explanation:
Answer:
False
that is the answer
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
What is the relationship between the volume of a rectangular prism and the volume of a pyramid with the same height and base?
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
How to find the volume of a rectangular prism and pyramid?
The formula for the volume of a rectangular prism is:
Volume = Length * Width * Height
The formula for the volume of a pyramid is:
Volume = (Base Area * Height) / 3
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.
Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.
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Which could be the entire interval over which the function, f(x), is negative? (–8, –2) (–8, 0) (–[infinity], –6) (–[infinity], –4).
The entire interval over which the function, f(x), is negative is (–8, –2).
Content loaded means that the entire page has been downloaded to the user's device, and the user can now interact with the page.
When a user opens a web page, the browser retrieves the web page's HTML, CSS, and JavaScript files from the server, and the content is loaded. After that, the user can interact with the page and perform actions.
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Find the dot product of the given vectors.
u= -4i + 8j
v= -2i+j
Answer:
16
Step-by-step explanation:
Given
u = x₁i + y₁j and v = x₂i + y₂j , then
u • v = x₁x₂ + y₁y₂
Given
u = - 4i + 8j and v = - 2i + j , then
u • v = ( - 4 × - 2) + (8 × 1) = 8 + 8 = 16
Find four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term. Show your work.
Four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term are -35/3, -140/3, - 560/3, -2240/3 and 7, -28, 112, - 448
Four numbers forming a geometric sequence can be calculate as follows
these terms: a₁, a₂, a₃, a₄
a₁ = a₂ + 35
a₃ = a₄ + 560
Use the formula for the n-term:
a₂ = a₁r
a₃ = a₁r²
a₄ = a₁r³
replace
a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
Subtracting from the first equation to the second:
r² = 560/35
r² = 16
r = √16
r = ± 4
Use the first equation to find the first term:
a₁( 1 ± 4) = 35
1. a₁ = 35/-3 = -35/3
2. a₁ = 35/5 = 7
We have two sequences:
r = 4
-35/3, -140/3, - 560/3, -2240/3
r = -4
7, -28, 112, - 448
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left.
The inequality that can be used to find the number of cars, x, Mr. Schwartz builds before he places an order for more wheels is − x < 40.
Mr.Schwartz will need to order more wheels after building cars.
Mr. Schwartz will need to order more wheels after building 12 cars.
The number of cars x Mr. Schwartz builds before he places an order for more wheels can use the following steps:
Determine how many wheels are used per car:
4 wheels/car
Determine the number of wheels available at the start of the week:
85 wheels
Determine the minimum number of wheels needed to be available before placing an order:
40 wheels
Set up an inequality to represent the situation using x to represent the number of cars built before an order is placed:
Number of wheels used = 4x
Number of wheels remaining = 85 - 4x
Order is placed when number of wheels remaining is less than 40:
85 - 4x < 40
Solve for x by isolating the variable:
85 - 4x < 40
-4x < -45
x > 11.25
Since x represents the number of cars built can't have a fractional value for x.
The nearest integer to get the minimum number of cars that need to be built before an order is placed:
x > 12
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suppose there are three cards, a, b, and c. two of them will be drawn one by one with replacements. what is the probability of getting (a, b), i.e. the first card is a and the second card is b?
the probability of getting (a, b), i.e. the first card is a and the second card is b is 2/3 by conditional probability.
The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is computed by dividing the likelihood of the earlier occurrence by the likelihood of the subsequent, or conditional, event.
This is where the independent event and dependent event notion is used. Consider a student who misses class twice each week, omitting Sunday. What are the possibilities that he will take a leave of absence on Saturday of the same week if it is known that he will be absent from school on Tuesday? It has been noted that situations where the outcome of one event influences the outcome of a subsequent event are termed as conditional probability
We can work this out directly from the definition of conditional probability,
\(P(G_1|G_2)=P(G_1nG_2)/(P(G_1)\)
Exactly one of the three cards has sides, so
P(G1∩G2)=1/3
and P(G1)=1/2
THEN
the probability of getting (a, b), i.e. the first card is a and the second card is b IS = 1/3÷1/2 = 2/3
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Convert the integral ∫∫ r √4 −x2−y2da where r = {(x, y) : x2 y2≤ 4, x ≥ 0} to polar coordinates, and then evaluate.
The integral ∫∫ r √4 −x2−y2da where r = {(x, y) : x2 y2≤ 4, x ≥ 0} conversion to polar coordinates the value of the integral is (4/3)π.
To convert the integral to polar coordinates, we need to express the limits of integration in terms of the polar coordinates.
Recall that in polar coordinates, x = r cosθ and y = r sinθ, where r is the radial distance from the origin and θ is the angle measured counterclockwise from the positive x-axis to the line connecting the origin to the point (x, y).
In this case, the region r is defined by \(x^2 + y^2\) ≤ 4 and x ≥ 0. In polar coordinates, this corresponds to the region 0 ≤ r ≤ 2 and 0 ≤ θ ≤ π/2. To see why, note that x ≥ 0 implies 0 ≤ θ ≤ π/2, and \(x^2 + y^2 = r^2\), so r ≤ √4 = 2.
So we have:
∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) ∫(r=0 to 2) r√(4-\(r^2\)) dr dθ
To evaluate this integral, we can use the substitution u = 4 - \(r^2\), du = -2r dr, which gives:
∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) ∫(u=4 to 0) -1/2 √u du dθ
Now we can evaluate the inner integral:
∫(u=4 to 0) -1/2 √u du = [-1/3 u^(3/2)](u=4 to 0) = (1/3)(8 - 0) = 8/3
Substituting this back into the original integral, we have:
∫∫ r √4 −x2−y2da = ∫(θ=0 to π/2) (8/3) dθ = (8/3) (π/2 - 0) = (4/3)π
Therefore, the value of the integral is (4/3)π.
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when determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to:
When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.
The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.
When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.
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Find the quotient of (9x + 6) divided by 3
Option:-
\( \texttt \purple{ A ) 3x + 2 }\)
\( \: \)
Given:-
\( \texttt{(9x + 6) ÷ 3}\)\( \: \)
Solution:-
\( \texttt{9x + 6 ÷ 3}\)\( \: \)
\( \tt{ \cancel \frac{9x + 6}{3} }\)\( \: \)
\( \underline{ \underline{\red{ \texttt{3x + 2}}}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
Answer:
a) 3x + 2
Step-by-step explanation:
Now we have to,
→ Find the quotient of the following.
Given problem,
→ (9x + 6) ÷ 3
Let's find the required quotient,
→ (9x + 6) ÷ 3
→ (9x + 6)/3
→ (9x/3) + (6/3)
→ (3x) + (2)
→ 3x + 2
Hence, the option (a) is correct.
Arrange the following measurements in order from smallest to largest.
5 grams 0.35 kilograms 9.4 grams
Answer:
5 grams, 9.4 grams, 0.35 kilograms
Step-by-step explanation:
9.4 g and 5g are already converted so don't worry about those.
0.35 kilograms translates to 350 grams.
from smallest to largest thatd be
5, 9.4, 350
What is the function of rational root theorem?
A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.
A polynomial expression is given and after solving them we get the two values known as the roots of the function.
These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .
We should use the rational root theorem only when the value of coefficients are small.
The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,
p is an integer factor of the constant term a0, and
q is an integer factor of the leading coefficient an.
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The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time
of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn
without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15
seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are
calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-
sized bag. Which of the following best describes the standard deviation of the sampling distribution of 5-7 ?
1 second
5 seconds
25 seconds
35 seconds
Answer:
3
Step-by-step explanation:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
What is Central Limit Theorem:?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.
here, we have,
Given,
In the question:
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
n = 4 , σ = 20, thus:
s = σ /√n
= 20/√4
= 10
Thus, the correct answer is:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
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Helpppp asapppp I’ll give you a lot of points
Answer:
\(x = \frac{5a-2} {7+5a}\\\)
Step-by-step explanation:
Given the expressions
\(x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2\)
Substitute 2 into 1
\(x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\\)
The Metro Theater has 20 rows of seats with 18
seats in each row. Tickets cost $5. The theater's
income in dollars if all seats are sold is (20 X 18)
X 5. Use properties to find the total income.
The total income, if all seats were sold, is $1800.
Given,
The Metro Theater has 20 rows of seats with 18 seats in each row.
Tickets cost $5.
The theater's income in dollars, if all seats are sold, is (20 X 18) X 5.
We need to find the total income.
Find the cost of each ticket.
= $5
Find the number of seats in each row.
= 18 seats
Find the number of rows.
= 20 rows
Find the total number of seats in all rows.
= 20 x 18
= 360 seats
Find the total income if all seats were sold.
= 20 x 18 x 5
= 360 x 5
= 1800
Thus the total income if all seats were sold is $1800.
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What explicit equation represents the relationship between X and Y in the graph below
find all the expressions that are equal to 4*10^-3
Answer:
Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)
solve the following systems of linear equations by graphing
x=4 and y=-3/2x - 2
Answer: -8
Step-by-step explanation: I did long division for 3/2 = -1.5 now I have to mutiply -1.5 x 4 = -6 - 2 = -6 + (-2) which now eqauls negative 8
HELP!! ASAP!! Will mark Brainliest to first correct answer !!
Answer:
A. -13 + i
Step-by-step explanation:
(5 - 9i) + (-4 + 7i) = 1 - 2i(1 - 2i) - (14 - 3i) = -13 + iI hope this helps!
Question 13IT, pre calc, I am at work so please answer so I can review it later tonight, thanks
EXPLANATION
Dividing the numerator and denominator by the highest denominator power (x^2):
\(=\lim _{x\to\: -\infty\: }\mleft(\frac{\frac{1}{x}+\frac{1}{x^2}}{1-\frac{2}{x}}\mright)\)Applying the following property:
\(\lim _{x\to a}\mleft[\frac{f\left(x\right)}{g\left(x\right)}\mright]=\frac{\lim_{x\to a}f\left(x\right)}{\lim_{x\to a}g\left(x\right)},\: \quad \lim _{x\to a}g\mleft(x\mright)\ne0\)\(With\: the\: exception\: of\: indeterminate\: form\)\(=\frac{\lim_{x\to\:-\infty\:}\left(\frac{1}{x}+\frac{1}{x^2}\right)}{\lim_{x\to\:-\infty\:}\left(1-\frac{2}{x}\right)}\)\(=\frac{\lim_{x\to\: -\infty\: }(\frac{1}{x}+\frac{1}{x^2})}{\lim_{x\to\: -\infty\: }(1-\frac{2}{x})}=\frac{0}{1}=0\)Now, we need to apply the same steps to x-> ∞
\(\mathrm{Apply\: the\: following\: algebraic\: property}\colon\quad a+b=a\mleft(1+\frac{b}{a}\mright)\)\(\frac{x+1}{x^2-2x}=\frac{x\left(1+\frac{1}{x}\right)}{x^2\left(1-\frac{2}{x}\right)}\)\(=\lim _{x\to\infty\: }\mleft(\frac{x\left(1+\frac{1}{x}\right)}{x^2\left(1-\frac{2}{x}\right)}\mright)\)Simplifying:
\(=\lim _{x\to\infty\: }\mleft(\frac{1+\frac{1}{x}}{-2+x}\mright)\)\(\lim _{x\to a}\mleft[\frac{f\left(x\right)}{g\left(x\right)}\mright]=\frac{\lim_{x\to a}f\left(x\right)}{\lim_{x\to a}g\left(x\right)},\: \quad \lim _{x\to a}g\mleft(x\mright)\ne0\)\(\mathrm{With\: the\: exception\: of\: indeterminate\: form}\)\(=\frac{\lim_{x\to\infty\:}\left(1+\frac{1}{x}\right)}{\lim_{x\to\infty\:}\left(-2+x\right)}\)\(=\frac{1}{\infty\:}\)\(\mathrm{Apply\: Infinity\: Property\colon}\: \frac{c}{\infty}=0\)\(=0\)In conclusion, the appropiate end behavior is as follows:
\(\lim _{x\to-\infty}f(x)=0;\text{ }lim_{x\to\infty}f(x)=0\)How many solutions does the system of equations below have?
y = –6x + 5
y
=
–6
x
+
1
2
Answer:
I think no solution
Step-by-step explanation:
Answer:
it doesn't have any solutions so 0
Can someone help me with this one :)
Answer:
c
correct me if I'm wrong
A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
Answer:
270 dollars for a year, so 22.50 times 12
The cost of the membership for a year will be $270.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A racquetball club membership costs $22.50 per month.
We know that in a year, the number of months is 12.
Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.
Cost = 22.50 x 12
Cost = $270
The cost of the membership for a year will be $270.
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Which is the meaning of the constant rate of change in the graph? Giving BRAINLYYY
Answer:
B
Step-by-step explanation:
Pls look at the photo and help me! ASAP! Luv you guys <3
Answer:
2 layers of cubes
Step-by-step explanation
ignore this my answer was wrong sorry
What is the perimeter of the rectangular narrow on the aircraft carrier HMS Queen Elizabeth
Answer:
dddjshsbs zhzusushwbsgzyzhsbssbs s hsbd d dhd ssbshebebs shyshs s sbshss s s
Step-by-step explanation:
shshshsnsnsjzj shsjs s sjsn s s snsnsbzbznnz ssjs s snsnsmkzkxnz