Answer:
option D
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
Step-by-step explanation:
Given in the question are 4 number
5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]
2 - [tex]\frac{1}{\sqrt{11} }[/tex]
9 + [tex]3\sqrt{\frac{5}{2} }[/tex]
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
A Complex Number is a combination of a Real Number and an Imaginary Number
Examplea + ib
where a is real number
b is imaginary number
i is 'lota' which is √-1
So according to the definition above[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which
[tex]\frac{8}{3}[/tex] is real part
[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part
Answer:
D. 8/3+ sqrt-7/3
Step-by-step explanation:
Can someone please help me ??
C, the higher a negative is, the lower its value gets
It is C because -2.05 is really -2.050 which is less then -2.047
find (f o f)(0). f(x)=x^2-1
Answer:
f(x) = x² - 1
f(f(x)) = f(x² - 1) = (x² - 1)² - 1
= x⁴ - 4x² + 1 - 1
= x⁴ - 4x²
f(f(0)) = 0
Observe the expression below and select the true statement(s).
3y(7 + 2x) + 9xy - 10
Answer:
The "3y" in the first term is a factor
The "9" in the second term is a coefficient
The "(7 + 2x)" in the first term is a factor
Step-by-step explanation:
Given in the question an expression
3y(7 + 2x) + 9xy - 10
The coefficients are the numbers that multiply the variables, x and y.Example6y
6 is coefficient
2.Constants are terms without variables
Example10
3.The factors in a mathematical expression are parts of the expression that are connected with multiplication.
Example(4x+1)(3x+7)
(4x+1) and (3x+7) both are factors
please please help me find the surface area ! ive been struggling doing these kinds /: (BRAINLIEST WILL BE GIVEN OUT! ) <3
Answer:
For the first one is 340.
Step-by-step explanation:
The SA formula is SA = s^2 + 2 × s × l
so 10^2+2*10*12=340.
will give brainliest!!!!
Answer:
A = 94°B = 102°C = 86°D = 78°Step-by-step explanation:
Angles inside a quadrilatril add up to 360°.
Opposite angles in a cyclic quadrailtaril (a quadrilateral with every corner touching the circle) add up to 180°.
A + B+ C + D = 360°
A + C = 180°
B + D = 180°
(x + 6) + B + (x - 2) + (x - 10) = 360
(x + 6) + (x - 2) = 180
Simplify:
(x + x) + (6 - 2) = 2x + 4 = 180
Solve to find x:
2x + 4 = 180
2x = 180 - 4
2x = 176
x = 88°
Substitute it in to check it's right.
(x + 6) + (x - 2) = 180
(88 + 6) + (88 - 2) = 180
94 + 86 = 180
Substitute this into the other equation to find B:
(x + 6) + B + (x - 2) + (x - 10) = 360°
(88 + 6) + B + (88 - 2) + (88 - 10) = 360°
94 + B + 86 + 78 = 360°
Rearrange to find B:
B = 360 - 94 - 86 - 78
B = 102°
A = 94°
B = 102°
C = 86°
D = 78°
Answer:
A = 94°
B = 102°
C = 86°
D = 78°
Step-by-step explanation:
If x and y vary inversely, as y increase as, what happens to the value of x
inverse proportionality between 2 variables follows this .
y = k/x
where k is proportional constant
as value of one variable increases/decreases , value of other variable decreases/increases
so
if x increases, y will decrease
if x decreases , y will increase
Can someone tell me what the formula of problem would be? and answer/explain how you got that answer.
Answer:
Area_shaded = 2543.742 ft^2
Step-by-step explanation:
First we find the area of the external triangle
A_triangle = base*height*0.5
A_triangle = (92 ft)*(84 ft)*0.5 = 3864 ft^2
Then we find the area of the pool (circle)
A_circle = pi*radius^2
A_circle = 3.1416*(20.5 ft)^2 = 1320.257 ft^2
The area of the shaded region
Area_shaded = A_triangle - A_circle
Area_shaded = 3864 ft^2 - 1320.257 ft^2 = 2543.742 ft^2
The math teacher asked Edith, “How old are you?” “Sixty years less than five times my brother’s age,” she answered. “That doesn’t help me,” replied the teacher. “Yes, it does,” said Edith, “He and I are twins!” How old is Edith?
Answer:
15 years
Step-by-step explanation:
Let e represent Edith's age. Then e also represents her brother's age.
Then:
e = 5e - 60.
Consolidating the e terms, we get 60 = 4e. Thus, e = 15.
Edith is 15 years old. So is her brother.
Edith is 15 years old and so is her twin brother. Hope this helps!
Which measure of central tendency best describes this situation the age of student in an eighth grade
Answer:
The first choice
Step-by-step explanation:
it is mostly saying you will be testing multiple students or just predicting either way it will be experimental meaning there likely are outliers. however the question is not super clear so this could always be wrong but i hope i helped u
PLEASE HELP, I’LL GIVE BRAINLIST!!
For a ratio make a fraction using the quantities of the colors.
You want the ratio of red to purple.
There are 16 red and 2 purple, so the ratio would be 16/2, which can be reduced to 8/1
I need help please ..
Answer:
just add all the side which equals 27 feet
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Because the perimiter is just the outside, we are only adding to find the answer.
hope this helps
Can you please help me with this
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the formula for the volume of a rectangular prism is length *width*height. the length=12, width=8 and height equals 13 sooo 12*8*13= 1248
Hope this helps!!
Help anyone please help
Answer:
336
Step-by-step explanation:
Please help ASAP
this table shows how many students from high schools attended a foot ball game.
A student is randomly selected.
what is the probability that a student attended the game, given that the student is from North Beach? Round your answer to two decimal places.
Answer:
The probability that a student attended the game, given that the student is from North Beach will be: 0.55
Step-by-step explanation:
Given data,
Number of North Beach students who attended the game = n1 = 110
Number of North Beach students who did not attend the game = n2 = 90
Total number of students = n1 + n2
=> 110 + 90
=> 200
The probability that a student attended the game, given that the student is from North Beach will be:
probability of students attended the game of North Beach/ probability of total students attended
=> n1/n
= 110 / 200
= 0.55
Therefore, the probability that a student attended the game, given that the student is from North Beach will be: 0.55
Answer:
0.55
Step-by-step explanation:
Hailey and Kacie are selling candles to raise money. • Hailey is selling candles for $4 each and has already raised $160. • Kacie is selling candles for $7 each and has already raised $70. Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?
Answer:
The number of candles each girl needs to sell so that the total amount raised is the same for both is
Hailey 70 candles
Kacie 40 candles
Step-by-step explanation:
Let
x------> the number of candles sold
y----> total amount raised
we know that
Hailey's equation
[tex]y=4x+160[/tex] -----> equation A
Please note that Hailey has already raised $160, so he has sold 40 candles.
Kacie's equation
[tex]y=7x+70[/tex] -----> equation B
Please note that Kacie has already raised $70, so he has sold 10 candles.
equate equation A and equation B solve for x
[tex]4x+160=7x+70[/tex]
[tex]7x-4x=160-70[/tex]
[tex]3x=90[/tex]
[tex]x=30\ candles [/tex]
The number of candles each girl needs to sell so that the total amount raised is the same for both is
Hailey
40+30=70 candles
Kacie
10+30=40 candles
Answer: C. 4c+160=7c+70
Step-by-step explanation:
If I were you I would also put the answer choices
Air pollution is measured in parts per million (ppm) And the higher the value, the more pollution there is in the air. Stephen is completing research for his senior project and records the amount of pollution in the air each day for two weeks. His results are show and the higher the value, the more pollution there is in the air. Stephen is completing research for his senior project and records the amount of pollution in the air each day for two weeks. His results are show in this stem and leaf plot below.
Stem and leaf
0_5,7,9
1_2,2,6,7
2_0,4,8
3_1,2,5,9
A. Calculate the mean, median and mode of the data represented in the plot. Show and explain your work.
B. Another student created the box and whisker plot shown below incorrectly. Explain where the error exists and what the correct answer should be. (Picture included)
C. Describe which quartile has the largest range. Show or explain your work.
D. Describe why this statement is false.
“ 75% of the days had 20 or more parts per million of pollution.”
Correct Statement:____________
The mean of the data set is calculated to be 4.05, the median is 2, and there are two modes. The error in the box and whisker plot is that the lower whisker extends below the minimum value. The second quartile has the largest range, and the correct statement is that 75% of the days had 7 or more parts per million of pollution.
Explanation:A. To calculate the mean, median, and mode of the data, we first need to arrange the data in increasing order. The stem and leaf plot represents the following data: 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 7, 7, 8, 9, 9.
The mean can be calculated by summing up all the data points and dividing it by the total number of data points. In this case, we have 20 data points, so the sum is 81. The mean is then 81/20 = 4.05.
The median is the middle value of the data set when arranged in increasing order. In this case, the middle value is the 10th value, which is 2.
The mode is the value that appears most frequently in the data set. In this case, both 0 and 3 appear 5 times, so the data set has two modes.
B. The error in the box and whisker plot is that the lower whisker extends below the minimum value in the data set. The correct plot should have the lower whisker ending at the minimum value.
C. The quartile with the largest range is the second quartile, which is the median. The range of the second quartile is the difference between the maximum and minimum values in the data set.
D. The correct statement is: '75% of the days had 7 or more parts per million of pollution.' This statement is true because the 75th percentile corresponds to the value 7 in this data set.
Learn more about Calculating Mean, Median, Mode, Quartiles, and Box and Whisker Plot here:https://brainly.com/question/12082617
#SPJ12
Final answer:
The mean, median, and mode are statistical measures calculated from the given data points. For part B, we cannot provide corrections to the box and whisker plot without seeing it. The quartile with the largest range is determined by comparing quartile differences, and the statement about 75% of days with values ≥ 20 ppm is false because more than 25% of the values are below 20 ppm.
Explanation:
To calculate the mean, median and mode of Stephen's two-week air pollution data from the stem and leaf plot:
Convert the stem and leaf plot to a data set:
5, 7, 9, 12, 12, 16, 17, 20, 24, 28, 31, 32, 35, 39
Calculate the mean (average) by adding all the numbers together and dividing by the number of data points.
Find the median by ordering the data from least to greatest and finding the middle value (or the average of the two middle values if there is an even number of data points).
Determine the mode by identifying the value(s) that appear most frequently.
For part B, without the provided box and whisker plot, we cannot determine the error or provide the correct answer.
For part C, to identify which quartile has the largest range, we need to calculate the quartiles (Q1, Q2, Q3), and then compare the differences between them: Q1 to Q2, Q2 to Q3, and Q3 to the maximum value.
For part D, the statement “75% of the days had 20 or more parts per million of pollution” is false because:
Not all values are above 20 ppm. From the data, we can calculate that more than 25% of the values are below 20 ppm, thereby making the statement incorrect.
Correct Statement: Less than 75% of the days had 20 or more parts per million of pollution.
For each function, what is the output of the given input?
For f(x)= 4x+7, find f(4)
Ok so you have to replace all x by 4:
F(4)= 4.4+7= 23
Replace all x with 4
f(4)= 4*4+7
f(4)=16 +7
=23
Help pls I will give 37 points if helped
Answer:
20
Step-by-step explanation:
find the upper quartile(44), and the lower quartile(24) and subtract them to get the IQR
y=-2x^2+4-6 graphing quadratic
The graph and solution are given in attached image
Yuet is in a gymnastics class that has 4 people. The class is 25% full. How many people are in a full gymnastics class?
To find the full class size, since Yuet's class has 4 people (25% of the full), divide 4 by 0.25 to get 16. Therefore, a full class has 16 people.
To find out how many people are in a full gymnastics class, we can use the given information that Yuet's class, with 4 people, is 25% full.
Let's represent the number of people in a full class as ( x ).
We know that the number of people in Yuet's class is 25% of the full class. Mathematically, this can be expressed as:
[tex]\[\frac{4}{x} = 0.25\][/tex]
To solve for ( x ), we can multiply both sides by ( x ):
[tex]\[4 = 0.25x\][/tex]
Then, to isolate ( x ), we divide both sides by 0.25:
[tex]\[x = \frac{4}{0.25}\][/tex]
Now, let's calculate:
[tex]\[x = \frac{4}{0.25} = 16\][/tex]
So, a full gymnastics class would have 16 people.
Shondra wants to find the measure of angle JKL. Her work is started. What is the measure of angle JKL? 1. m
Answer:
[tex]m<JKL=38\°[/tex]
Step-by-step explanation:
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
In this problem
[tex]m<JKL=\frac{1}{2}(arc\ ML-arc\ MN)[/tex]
substitute the values
[tex]m<JKL=\frac{1}{2}(138\°-62\°)[/tex]
[tex]m<JKL=\frac{1}{2}(76\°)[/tex]
[tex]m<JKL=38\°[/tex]
Answer: jkl=38°
Step-by-step explanation:
which relation is not a function
Answer:
#2Step-by-step explanation:
Function: A special relationship where each input has a single output.
#1 It's a function:
Jan → 150
Feb → 400
March → 430
#2 It's not a function:
Jan → 150
Feb → 400
March → 400 and March → 430 (two values for March)
#3 It's a function:
Jan → 150
Feb → 150
March → 400
#4 It's a function:
Jan → 400
Feb → 400
March → 400
The 2nd choice is not a function. Hope this helps you out!
i just made a fresh pot of coffe, does somebody want some coffeee?
yes, please coffee would be nice today.
Answer:
Yes I would love some coffee, that is the answer!
Step-by-step explanation:
Plz help me with this !
Answer: x³
Step-by-step explanation:
[tex]\sqrt[n]{x^{3n}}=x^{\frac{3n}{n}}=x^3[/tex]
Note: There is no radical expression, only an exponential expression.
Find the cost of one item to the nearest cent. Round if necessary.
12 lbs. of potatoes for $4.92
41 cents per pound
12/4.92=0.41
For this case we have to:
12 pounds of potatoes equals $ 4.92. You want to know the unit cost, that is, the cost per pound of potatoes.
For this, we make a rule of three:
12lb -----------------> $ 4.92
1lb --------------------> x
Where the varibale "x" determines the cost per pound of potatoe
[tex]x = \frac {1 * 4.92} {12}\\x = 0.41[/tex]
Thus, each pound of potatoe costs $ 0.41
Answer:
Each pound of potatoe costs $ 0.41
the vertices of a rectangle are R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1). A translation maps R to the point (2,-7). find the translation rule and the image of U.
a. T <-7,-2> (RSTU); (-12,-1)
b. T <7,-2> (RSTU); (2,-1)
c. T <7,2> (RSTU); (2,3)
d. T <-7,2> (RSTU); (-12,3)
Answer:
b. T <7,-2> (RSTU); (2,-1)
Step-by-step explanation:
The given triangle has vertices R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1).
Let the translation rule be T(a,b).
Then the mapping for the translation will be;
[tex](x,y)\to (x+a,y+b)[/tex]
Then the point R(-5,-5) has the image;
[tex]R(-5,-5)\to R'(-5+a,-5+b)=R'(2,-7)[/tex]
This implies that;
[tex]-5+a=2[/tex]
[tex]\Rightarrowa=2+5=7[/tex]
and
[tex]-5+b=-7[/tex]
[tex]\Rightarrow b=-7+5[/tex]
[tex]\Rightarrow b=-2[/tex]
Therefore the translation rule is T(7,-2)
Hence;
[tex]U(-5,1)\to U'(-5+7,1-2)=U'(2,-1)[/tex]
the correct choice is B.
If g(x) = x to the power of 2 + 2, find g(3)
find the value x
[tex]3x + 16 + 8x + 3 - 10x - 28[/tex]
Answer: x - 9
Step-by-step explanation: Collect like terms.
(3x + 8x - 10x) + (16 + 3 - 28)
Answer:
[tex]\boxed{\bold{x-9}}[/tex]
Step-by-step explanation:
[ Step One ] Group Like Terms
[tex]\bold{3x+8x-10x+16+3-28}[/tex]
[ Step Two ] Combine Similar Elements: [tex]\bold{3x+8x-10x=x}[/tex]
[tex]\bold{x+16+3-28}[/tex]
[ Step Three ] Add / Subtract: [tex]\bold{16+3-28=-9}[/tex]
[tex]\bold{x-9}[/tex]
➤ [tex]\boxed{\bold{Mordancy}}[/tex]
A lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself. What is the effective price per year of the extended warranty?
a.
$4.82
b.
$3.93
c.
$8.05
d.
$7.03
Please select the best answer from the choices provided
Answer:
The correct answer option is c. $8.05.
Step-by-step explanation:
We are given that a lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself.
We are to find its effective price per year of the extended warranty.
So, the amount of six year warranty = [tex] \frac { 17 } { 100 } \times 284 [/tex] = $48.28
Price of warranty per year = [tex] \frac { 48.28 } { 6 } [/tex] = $8.05
Answer:
The answer is C on edge 2020.
Step-by-step explanation:
Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x
Answer:
D
Step-by-step explanation:
An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.
3^1 = 3
3^2 = 9
This means that the function is y = 3^x.
y = 3x
Substitute the two points into the equation y = abx, giving 3 = ab1 and 9 = ab2.
Since a = a, then
3
b1
=
9
b2
, rearranged yields 3b2 = 9b1 → 3b2 − 9b = 0 → b(3b − 9) = 0
Thus, b = 0 or b = 3.
A curve of exponential function never drop below the x-axis, ignore any values of b that are less than or equal to zero.
Therefore, insert b = 3 into
3
b1
= a and
9
b2
= a → a = 1 for both equations.
y = abx
y = (1)(3x)
y = 3x