Answers
Answer:
<A≅<Z
Step-by-step explanation:
Hope This Helps!
Related Questions
Which pair of complex numbers has a real-number product? (1 2i)(8i) (1 2i)(2 – 5i) (1 2i)(1 – 2i) (1 2i)(4i)
Answers
The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.
According to the statement
we have given Following are the pairs of the complex number:
(1+2i)(8i),
(1 + 2i)(2 – 5i)
(1+2i)(1-2i) and (1+2i)(4i)
We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".
So, For this purpose
we have to multiply these pairs with each other.
So,
(1+2i)(8i) = 8i +16(i)^2
And
(1 + 2i)(2 – 5i) = 2 +4i - 5i +10(i)^2
And
(1+2i)(1-2i) = 1 -4(i)^2 -2i +2i = 1+4 = 5
And
(1+2i)(4i) = 4i + 6(i)^2
From these multiplication we found that the third pair have a real number product.
So, The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.
Learn more about Complex Number here https://brainly.com/question/10662770
#SPJ4
The graph of f(x)= |x| is transformed to g(x) = x + 11-7. On which interval is the function decreasing?
O (-∞, -7)
O (-00,-1)
O (-00, 1)
O (-∞0,7)
Answers
Answer:
The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
Step-by-step explanation:
* Lets explain how to solve it
- Decreasing function means a function with a graph that moves
downward as it is followed from left to right.
- For example, any line with a negative slope is decreasing function
- Lets look to the attached graph to understand the meaning of the
decreasing function
∵ f(x) = IxI ⇒ green graph
∵ g(x) = Ix + 1I - 7 ⇒ purple graph
- From the graph f(x) translated 1 unit to the left and 7 units down to
form g(x)
- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}
- The range of f(x) is {y : y ≥ 0}
- The range of g(x) is {y : y ≥ -7}
# For f(x)
- The slope of the green line from (-∞ , 0) is negative
- The slope of the green line from (0 , ∞) is positive
# For g(x)
- The slope of the purple line from (-∞ , -1) is negative
- The slope of the purple line from (-1 , ∞) is positive
∵ The line with negative slope represent decreasing function
∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
Having trouble can someone help me solve this
Answers
The function f(x) is vertically compressed to form g(x)
How to compare both functions?The functions are given as
f(x) =x^2
g(x) =3x^2
Substitute f(x) =x^2 in g(x) =3x^2
g(x) =3f(x)
This means that the function f(x) is vertically compressed to form g(x)
See attachment for the function g(x)
Also, both functions have the same domain and range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
Read more about function transformation at:
https://brainly.com/question/13810353
#SPJ1
If Robbie has twenty-five apples and he wants to share them equally with four other friends, how many apples must he give to each of his friends so that he will have the same number of apples as each of his friends
Answers
Answer:
5 apples
Step-by-step explanation:
4 friends + Robby = 5 people
25 apples in total ÷ 5 people
= 5 apples per person
On a monday a friend says he will meet you again in 34 days. What day of the week will that be?
Answers
Answer:
On a Sunday?
Step-by-step explanation:
Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.
Answers
Answer:
298
Step-by-step explanation:
All perfect squares from 100-200 inclusive:
100, 121, 144, 169, 196
100+1=101, 101 is prime
121+2=123, 123=41*3 so its not prime
144+1=145 145=29*5 so its not prime
169+2=171 171=9*19 so its not prime
196+1=197, 197 is prime
101+197=298
Notice that I excluded all even numbers because they are obviously composite.
Can someone help me?
Answers
Answer:
discriminant = b^2 - 4ac
Step-by-step explanation:
discriminant = b^2 - 4ac
2^2 - 4x 3x2 = 4-24 = 20
A coffee shop gives the customer a free cup of coffee after the purchase of 5 cups: a.) industrial marketing program b.) loyalty marketing program c.) product sampling program d.) cooperative marketing program
Answers
The organizers of a community fair set up a small Ferris wheel for young children. The table shows the heights of one of the cars above the ground for different rotations of the wheel. The function below, where a
and b are constants, models the height of the Ferris wheel car at a rotation of x radians. What are the values of a and b?
Answers
The value of a is 6 and the value of b is 7
How to determine the values of a and b?The function is given as:
h(x) = a . sin(x - π/2) + b
From the table of values, we have:
x = π/2 when y = 7
So, we have:
a . sin(π/2 - π/2) + b = 7
Evaluate the difference
a . sin(0) + b = 7
Evaluate the value of sin(0)
a . 0 + b = 7
Evaluate the product of a and 0
b = 7
Substitute b = 7 in h(x) = a . sin(x - π/2) + b
h(x) = a . sin(x - π/2) + 7
From the table of values, we have:
x = π when y = 13
So, we have:
a . sin(π - π/2) + 7 = 13
Evaluate the difference
a . sin(π/2) + 7 = 13
Subtract 7 from both sides
a . sin(π/2) = 6
Evaluate sin(π/2)
a . 1 = 6
Divide both sides by 1
a = 6
Hence, the value of a is 6 and the value of b is 7
Read more about sine functions at:
https://brainly.com/question/10700288
#SPJ1
I WILL MARK BRAINLIEST FOR CORRECT ANSWERS WITH AN EXPLANATION!
Solve for x
If you need more information than what’s been provided, please let me know in the comments!
Answers
The value of x in the triangle is 9.3
How to find the side x of a triangle?The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
learn more on triangle here: https://brainly.com/question/2292453
#SPJ1
the height of a can of coke is in 11 cm and the radius is 6 cm calculate the total surface area of the can in cm^3 assuming that the can is a closed cylinder
Answers
The total surface area of the can of coke is 641.143 cm².
What is the total surface area of the can?A can of coke has the shape of a cylinder. A cylinder is a three-dimensional object that is made up of a prism and two circular bases. The total surface area of a closed cylinder can be determined by adding the area of all its faces.
Total surface area of the closed cylinder = 2πr(r + h)
Where:
r = radius = 6cm h = height = 11 cm r = pi = 22 / 7Total surface area of the closed cylinder = (2 x 22/7 x 6) x (6 + 11)
(264 / 7) x (17)
37.714 x 17 = 641.143 cm²
To learn more about how to calculate the total surface area of the closed cylinder, please check: https://brainly.com/question/13952059
#SPJ1
To find the 95% confidence interval for the population standard deviation using the bootstrap method. You repeatedly sample with replacement from the sample, tens of thousands of times. For each sample, you compute the sample standard deviation. What is the next step?.
Answers
The next line after computing the sample standard deviation is to; determine the 2.5th and 97.5th percentiles of the values.
How can the 95% confidence interval be determined?It follows from the task content that the 95% confidence interval for the population standard deviation using the bootstrap method in which case, after numerous sampling, the 2.5th and 97.5th percentiles of the standard deviations are determined.
Read more on confidence interval;
https://brainly.com/question/15712887
#SPJ1
The set $\{2, 4, 6, \dots, n\}$ contains the positive consecutive even integers from 2 through $n$. When one of the integers from the set is removed, the average of the remaining integers in the set is 28. What is the least possible value of $n$
Answers
The least possible value of n is 27.
According to the statement
We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.
Then
Firstly set contain n numbers
But after that set contain n-1 numbers after removal of 1 digit from them.
and average value of remaining digit is 28 then 28th term become after removal is
28th term =28*2
28th term = 56.
then
we use the formula to calculate n
n-1 =28
then the value of n become 27.
the least possible value of n is 27.
So, The least possible value of n is 27.
Learn more about Sets here https://brainly.com/question/2166579
#SPJ4
The piece of music that I am learning is 60 measures long. There are 13 beats in every measure, and every eighth note lasts for 1 beat. The last 17 measures of this piece are the finale. In every measure of the finale, there are 7 eighth notes played at middle C. If middle C never occurs in this piece outside of the finale, for what fraction of the whole piece do I play middle C
Answers
[tex]\frac{119}{780}[/tex] fraction of the whole piece you play middle C.
What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction consists of a numerator above a line and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.To find for what fraction of the whole piece do you play middle C:
Since 7 out of every 13 beats in the finale are played at middle C, [tex]\frac{7}{13}[/tex] the finale is played at middle C.
The finale is 17 measures out of a 60-measure piece or [tex]\frac{17}{60}[/tex] of the whole piece.
[tex]\frac{7}{13}[/tex] of [tex]\frac{17}{60}[/tex] is [tex]\frac{7}{13}[/tex] x [tex]\frac{17}{60} = \frac{119}{780}[/tex]
Therefore, [tex]\frac{119}{780}[/tex] for a fraction of the whole piece you play middle C.
Know more about fractions here:
https://brainly.com/question/78672
#SPJ4
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
Answers
Answer:
x = 7Step-by-step explanation:
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
1 1/6 + x/12 = 1 3/4
1 1/6 - 1 3/4 = -x/12
-7/12 = -x/12
-7 = -x
x = 7
----------------
check
1 1/6 + (7/12 * 1/4) = 1 3/4
1 1/6 + 7/48 = 1 3/4
1 15/16 = 1 3/4
1 3/4 = 1 3/4
the answer is good
calculate the volume of the composite shape
please please help giving brainliest!!
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.
Volume of whole ahape = volume of Cylinder + volume of sphere ~
Volume of sphere :
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \sdot3.14 \sdot {(3)}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of Cylinder :
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} h[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \cdot(3) {}^{2} \sdot4[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \sdot(9) \sdot(4)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of whole shape :
[tex]\qquad \sf \dashrightarrow \: 113.04 + 113.04 = 226.08 \: \: cm {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 226.08 \: \: cm {}^{3}[/tex]
David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87
Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.
Answers
The best option that would be used to show the data would be the line graph.
Why the line graph is the bestThe reason I chose the line graph is that it would show us the trend in the data. This is in a way that we would see the periods there was a high bills.
Also the line graph is very simple to understand. The relationship and the changes in the data is easily seen.
Read more on line graphs here:
https://brainly.com/question/19040584
#SPJ1
x + x/3 = 4/9
solve for x!!
Answers
Answer:
x=1/3
Step-by-step explanation:
(s^-6t^-2)^0 i know that the exponents equal zero but what would the answer 1 or s^0 t^o
Answers
Answer: 1
Step-by-step explanation: Any number raised to zero is always 1.
I cant figure this out
Answers
Answer:
x = 2 or x = -1/4
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2−7x−2=0
For this equation: a=4, b=-7, c=-2
4x^2+−7x+−2=0
Step 1: Use quadratic formula with a=4, b=-7, c=-2.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-2)} }{2(4)}[/tex]
[tex]x=\frac{7\pm\sqrt{81} }{8}[/tex]
x = 2 or x = -1/4
Answer:
x = 2 or x = -1/4
Which of these absolute values is the greatest? a. |140| b. |-104| c. |104| d. |-20
Answers
Answer: a
/////////////////
Answer:
The correct answer is A.
Step-by-step explanation:
The absolute value of any number is always positive.
What percentage of rolls were a 6?
Answers
Step-by-step explanation:
1 ----> 22 times
2 ----> 16 times
3 ----> 26 times
4 ----> 29 times
5 ----> 1 times
6 ----> 6 times
so , total ----> 100 times
so , percentage of rolls 6 is :-
(6/100 ) × 100%
= 6%
which of the following is the product of the rational expression shown below? make sure your answer is in reduced form x+1/x-4 * 5/x+1
Answers
Answer:
C
Step-by-step explanation:
[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator
= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]
= [tex]\frac{5x}{x-4}[/tex]
Answer:
5x/(x-4)
Step-by-step explanation:
To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:
[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]
We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:
[tex]\frac{5x}{x-4}[/tex]
If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.
Model the situation with the sun of the polynomials. Then simplify their sum.
A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.
Answers
Answer: 16x - 2
Step-by-step explanation:
The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.
Therefore, the perimeter of the picture frame can be modeled by
[tex]6x+3+2x-4+6x+3+2x-4[/tex]
Moving all like terms together, we get
[tex]6x+2x+6x+2x+3-4+3-4[/tex]
Finally, combining these terms, we get
[tex]16x -2[/tex]
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 10 hours of burning, a candle has a height of 25 centimeters. After 26 hours of burning, its height is 17 centimeters. What is the height of the candle after 21 hours
Answers
If the height of candle after 10 and 26 hours are 25 cm and 17 cm then the height of candle after 21 hours is 19.5 cm.
Given height of candle after 10 hours is 25 cm , height of candle after 26 hours is 17 cm.
We have to find the height of candle after 21 hours.
We have been given two points of linear function (10,25),(26,17).
We have to first form an equation which shows the height of candle after x hours.
let the hours be x and the height be y.
Equation from two points will be as under:
[tex](y-y_{1} )=(y_{2} -y_{1} )/(x_{2} -x_{1} )*(x- x_{1} )[/tex]
(y-25)=(17-25)/(26-10)* (x-10)
y-25=-8/16 *(x-10)
16(y-25)=-8(x-10)
16y-400=-8x+80
8x+16y=480
Now we have to put x=21 to find the height of candle after 21 years.
8*21+16y=480
168+16y=480
16y=480-168
16y=312
y=312/16
y=19.5
Hence the height of candle after 21 hours is 19.5 cm.
Learn more about equation at https://brainly.com/question/2972832
#SPJ4
The pen is 2 cm shorter than the scale. if the scale is 7 inches long. how long is the pen?
Answers
The pen is [tex]15.78[/tex] centimeters long when scale is [tex]7[/tex] inches long and pen is [tex]2cm[/tex] shorter then the scale.
How to find the how much long is the pen ?
Scale is [tex]7 inches[/tex] long and
We know that
[tex]7inches=17.78cm[/tex]
And pen is [tex]2cm[/tex] shorten then the scale
So the length of the pen is
[tex]=17.78-2\\=15.78cm[/tex]
[tex]=6.21 inches[/tex]
Learn more about the length of the pen here :
https://brainly.com/question/28048541
#SPJ4
A can of popcorn is to be packed in a box for shipping as shown. The can is 18
inches tall and has a radius of 7 inches. The box is 19 inches tall and has a square
base with sides of length 15 inches. All empty space around the can is to be filled
with packing material. How many cubic inches of packing material will be needed?
Answers
The amount of packing material is 1506 cubic inches
How to determine the amount of packing material?The given parameters are:
Can
Radius, r = 7 inches
Height, h = 18 inches
Box
Base dimension, l = 15 inches
Height, h = 19 inches
The volume of the can is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]V_1 = 3.14 * 7^2 * 18[/tex]
[tex]V_1 = 2769[/tex]
The volume of the box is
[tex]V =l^2h[/tex]
So, we have:
[tex]V_2 =15^2 * 19[/tex]
[tex]V_2 =4275[/tex]
The amount of packing material is;
Amount = V2 - V1
This gives
Amount = 4275 - 2769
Evaluate
Amount = 1506
Hence, the amount of packing material is 1506 cubic inches
Read more about volume at:
https://brainly.com/question/1972490
#SPJ1
Find the quotient: look at pic
Answers
Answer:
2y+6
Step-by-step explanation:
first, pull out the 2 from the top to separate the equation
second, factor out y
third, cancel out the common factor of y-1
fourth, remove the parenthesis from 2(y+3)
answer = 2y+6
A triangular face of the roof of the garage has two sides
that are √93 feet in length each and a base of length
186 feet. Is the roof a right triangle? Explain the steps
to take to determine whether the roof forms a right
triangle.
Answers
Answer:
The roof does form a right triangle.
Step-by-step explanation:
If it is a right triangle then it will obey the Pythagoras Theorem.
Now (√186)^2 = (√93)^2 + (√93)^2
186 = 93 + 93 = 186
So it obeys the theorem and is therefore a right triangle.
pls pls pls helppp
------------------
Answers
Answer:
y = 4x^2 + 8x - 12
4(x^2 + 2x - 3) = 0
4(x - 1)(x + 3) = 0
x = 1, -3
Answer:
[tex]\fbox {x-intercepts : (1, 0) and (-3, 0)}[/tex]
[tex]\fbox {Roots : x = 1, x = -3}[/tex]
Step-by-step explanation:
Given :
y = 4x² + 8x - 124 cancels throughout.
y = x² + 2x - 4Solving by quadratic formula :
x = -8 ± √(8)² - 4(4)(-12) / 8x = -8 ± √64 + 192 / 8x = -8 ± √256 / 8x = -8 ± 16 / 8x = -1 ± 2x = 1 and x = -3∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.