Answer:
Step-by-step explanation:
I also need help.
What is the value of the product (4 - 21)(6 + 2/)?
20 - 41
20 + 161
28 + 161
28 - 41
Answer:
28 -4i
Step-by-step explanation:
Perhaps you want the product ...
(4 -2i)(6 +2i)
Multiplying in the usual way, we get ...
(4)(6) +(4)(+2i) +(-2i)(6) +(-2i)(2i)
= 24 +8i -12i -4i^2
Recognizing that i^2 = -1, we can collect terms to get ...
= 24 +i(8 -12) -4(-1)
= 28 -4i
_____
Please note that i = √(-1) is not the same as 1 or /. You may need to edit your question to ensure the correct symbol is used.
What is 2x + 9 < 16; 4
Answer:
16 I think
Step-by-step explanation:
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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a= 8 in, b= ? C= 14 in.using pythagorean theorem
by Pythagorean theorem'
\(8^2+b^2=14^2\)\(\begin{gathered} 64+b^2=196 \\ b^2=196-64 \end{gathered}\)\(\begin{gathered} b^2=132 \\ b=\sqrt[]{132} \\ b=11.48 \end{gathered}\)b = 11.48
Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
-8.46 greater or less than 5.31
Hello.
-8.46 is less than 5.31, because it is negative.
Answer:
-8.46 is less than 5.31
Step-by-step explanation:
-8.46 is a negative number, which is smaller than the positive number 5.31
Positive numbers are always greater than negative numbers.
Which expression is half as large as the expression 345+23?
A. (345 + 23) ÷ 2
B. (2 x 345) + 23
C. 2 ÷ (345 + 23)
all of these questions on here are for my sis
Answer:
A. (345 + 23) ÷ 2
Step-by-step explanation:
First we have to add 345 and 23 which gives you 368 Then divided by 2 which is 184 Cause it say half as large as the expression 345+23.
Then We have to find the answer to the answer choice
(345 + 23) ÷ 2 = 184
(2 x 345) + 23 = 713
(2 x 345) + 23 = 0.0054347826
Therefore A. (345 + 23) ÷ 2 is the answer.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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Change the following into m square 30,000cm²
Answer: 3sqm
Step-by-step explanation:
4743 in ^2 = ___ ft^2
9514 1404 393
Answer:
32 15/16 ft^2
Step-by-step explanation:
There are 144 square inches in a square foot, so the number of square feet is ...
(4743 in²) × (1 ft²)/(144 in²) = (4743/144) ft² = 32 15/16 ft² = 32.9375 ft²
Suppose the given confidence level is 85%, what is the corresponding z critical value?
Please please please please
Hi! I'd be happy to help you with your question, but I need more information on the topic you'd like me to cover.
Please provide more details about the terms or concepts you'd like me to include in the answer.
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Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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find the equation to the line below.
The equation of the line is y = -4/3x
How to determine the equation of the lineFrom the question, we have the following parameters that can be used in our computation:
(x, y) = (3, -4) and (0, 0)
This means that the equation can be represented as
y = Y/X * x
substitute the known values in the above equation, so, we have the following representation
y = -4/3 * x
Evaluate the product
y = -4/3x
Hence, the equation is y = -4/3x
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The graph models the height of a burning candle over a 10-hour period.
What is the rate of change of the candles height?
Answer:
D. -1.5 cm/hour
Step-by-step explanation:
Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)
Using the coordinates of the two points on the line, (0, 18) and (4, 12),
Let,
\( (0, 18) = (x_1, y_1) \)
\( (4, 12) = (x_2, y_2) \)
Plug the values into the formula for rate of change.
Rate of change = \( \frac{12 - 18}{4 - 0} \)
\( = \frac{-6}{4} \)
Simplify
\( = \frac{-3}{2} = -1.5 \)
Rate of change = -1.5 cm/hour
I need quick help! I just want know if this is correct! Will give brainliest to the first correct answer.
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
In 2010 online sales were $191 billion, and in 2014 they were $259 billion.a) Find a linear function S that models these data, where S is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form. b) Interpret the slope of the graph of S:A. Sales increased, on average, by $17 billion/yr.B. Sales increased by $17 billion in next 4 years.C. Sales decreased, on average, by $17 billion/yr.D. Sales decreased by $17 billion in next 4 years.c) Determine when online sales were $242 billion
According to the information given in the exercise:
- In 2010 online sales were $191 billion.
- In sales were $259 billion.
Let be "S" the sales in billions of dollars and "x" the year.
a) By definition, the Slope-Intercept Form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
In order to find the slope, you need to apply the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where two points on the line are:
\(\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}\)In this case, you can identify these points on the line:
\(\mleft(2010,191\mright);(2014,259)\)Then, you can find the slope as follows:
\(m=\frac{259-191}{2014-2010}=\frac{68}{4}=17\)You can substitute the slope and the coordinates of one of the points on the line, into this equation:
\(y=mx+b\)Then, you can solve for "b", in order to find the y-intercept:
\(\begin{gathered} 191=(17)(2010)+b \\ \\ 191-34170=b \\ \\ b=-33979 \end{gathered}\)Knowing "m" and "b", you can write the following Linear Function in Slope-Intercept Form to model the given data:
\(S(x)=17x-33979\)b) You know that the slope of the line of the function S is:
\(m=17\)The slope of a line is defined as the change in "y" divided by the change in "x":
\(m=\frac{y_2-y_1}{x_2-x_1}\)You know that, in this case, "S" (the sales in billions) is represented on the y-axis, and the variable "x" (the year) is represented on the x-axis.
Therefore, you can conclude that:
\(m=\frac{17}{1}\)That indicates that the sales increased, on average, by $17 billion per year.
c) In order to determine when the online sales were $242 billion, you have to set up that:
\(S(x)=242\)Hence, substituting this value into the function and solving for "x", you get:
\(\begin{gathered} 242=17x-33979 \\ \\ 242+33979=17x \end{gathered}\)\(\begin{gathered} 34221=17x \\ \\ \frac{34221}{17}=x \end{gathered}\)\(x=2013\)Therefore, the answers are:
a)
\(S(x)=17x-33979\)b) Option A.
c) In 2013 the sales were $242 billion.
how many tickets are there when it weighs 135 grams
Answer:
about like 4-5
Step-by-step explanation:
its 4 or 5
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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Write the following expression using the fewest possible terms. the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity
The required result if the given expression is \(11[\frac{t}{40}-2]\).
What is expression?
A finite combination of symbols that are well-formed in accordance with context-dependent principles constitutes an expression or mathematical expression.
Given the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.
We write it in expression and we get
\(\frac{3}{4} \times t-5+\frac{2}{5} \times t-\frac{5}{8} \times t +17\)
Now
\(\frac{3}{4} \times t-5+\frac{2}{5} \times t-[\frac{5}{8} \times t +17]\\=\frac{3t}{4} +\frac{2t}{5} -\frac{5t}{8} -22\\=\frac{2t}{5}+\frac{6t-5t}{8}-22\\=\frac{2t}{5}+\frac{t}{8}-22\\=\frac{16t-5t}{40}-22\\=\frac{11t}{40}-22\\=11[\frac{t}{40}-2]\)
Therefore, the required result if the given expression is \(11[\frac{t}{40}-2]\).
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don't use the answer above this one, its wrong.
PLS HELP!! need the answer asap
Answer:
8
Step-by-step explanation:
\(\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180\)
\(3x + 12 + 7x + 88 = 180\)
\(10x + 100 = 180\)
\(10x = 80\)
\(x = 8\)
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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Hii Help me pls :))))
Answer:
B
Step-by-step explanation:
A: 3+5<=8
C: 9+9<19
D: 5+4<10
PLS GIVE BRAINLIEST
Answer:
Perhaps option B
Step-by-step explanation:
when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree.
The statement " when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree" is true.
A tree is a type of data structure made up of nodes and contains the following features:
1- Every tree has a root node (also known as a parent node) at the top that contains some value (can be any datatype).
2- There are 0 or more child nodes of the root node.
3- There are zero or more child nodes for each child node, and so forth. As a result, the tree gains a subtree. Each node has a separate subtree that consists of its offspring and their offspring, etc. This implies that any node can function as a tree on its own.
In addition, a binary search tree (BST) has the following two features:
1- Each node has a maximum of up to two children.
2-For each node, the values of its left descendent nodes are less than that of the current node, which in turn is less than the right descendent nodes (if any).
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Angelica started with half a tank of gas in her car, and she used 5/6 of that. Write an equation to show how much of a full tank she used.
Answer:
(1/2) x (5/6) = 5/12
Step-by-step explanation:
Just multiply those fractions together.
(1/2) x (5/6) = 5/12
Answer:
Step-by-step explanation:
Angelica started her journey with half a tank of gas, equivalent to x/2. She used x/4 for half the distance, meaning she only covered half the distance of a full tank. She needs three full tanks for her destination, so she will have to stop for refills three times.
Step-by-step explanation:
is Is the following relation a function A. Yes B. no
Answer:
YES
Step-by-step explanation:
To determine a function on a graph use the vertical line test!
put a vertical line through the graph at ANY POINT and if it only passes through one point then it is a function.
If the function y=sin(x) is transformed to y = sin(2x), how does the graph change?
It is stretched vertically.
It is compressed vertically.
It is stretched horizontally.
It is compressed horizontally..
Step-by-step explanation:
The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.
The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.
To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:
For y = sin(x):
x = 0, y = 0
x = π/2, y = 1
x = π, y = 0
x = 3π/2, y = -1
x = 2π, y = 0
For y = sin(2x):
x = 0, y = 0
x = π/2, y = 0
x = π, y = 0
x = 3π/2, y = 0
x = 2π, y = 0
As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).
Therefore, the correct statement is: It is compressed horizontally.
The volume of a cylinder is 637 cm³. If the radius is 3 cm, what is the height
of the cylinder?
If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:
637 = π(3²)h
Simplifying:
637 = 9πh
h = 637 / (9π)
h ≈ 7.06
Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.
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−5 1/5÷(2/3) help plz
Answer:
−5 1/5÷(2/3)≈-7.8