Answers
Answer:
Step-by-step explanation:
23 - (-2)
= 23 + 2
= 25
1) The mistake you made was to subtract 2 from 23 instead of subtracting -2 from 23.
2) Keep in mind the difference between the '-' used as a subtraction and the '-' used for indicating a negative number.
If you like, remember the mantra ' 2 negatives make a '+'.:-
2 - -4
= 2 + 4= 6.
Related Questions
please help!! a probability question :/
Answers
Answer:
B. 10/13
Step-by-step explanation:
There are 52 cards in a deck. Divide that by 4 and get 13, thats how many diamonds there are. There are 36 number cards. Since 9 of the cards in diamonds are numbers, we dont count those ones. 13-9 is 4, so we add that to our total to get 40. 40/52 is the same as 10/13.
Answer: 10/13
Step-by-step explanation:
There are 52 cards in a deck. Every 13 cards, 9 will be number cards so there are 36 number cards. There are 13 diamond cards. There are 9 diamond cards that are number cards. So the probability of the following is (36+13-9)/52 = 40/52 = 10/13
give me some questions of grade 7
Answers
Q1: For 30 minutes, a person jogged 10 times along the perimeter of a rectangular field at 12 kilometers per hour. Find the square meters of the field if its length is twice its width.
Q2: A car is traveling at a speed of 75 kilometers per hour. In one minute, how many meters does the car travel?
Q3: What is the length of 2000 millimeters in inches? Round your answer to the nearest hundredth.
Hope this helps =)
100 POINTS HELP EXPERTS PLEAASE!
The graph shows the functions f(x), p(x), and g(x):
Graph of function g of x is y is equal to 2 multiplied by 0.85 to the power of x. The straight line f of x joins ordered pairs minus 7, 3 and minus 3, minus 2 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 1 and minus 3, minus 2 and is extended on both sides.
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (4 points)
Part B: Write any two solutions for f(x). (4 points)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (6 points)
Answers
Answer:
A) (-3, -2)
B) (-7, 3) and (-3, -2)
C) (4.074, 1.032)
Step-by-step explanation:
An ordered pair is a solution to an equation if it satisfies the equation — makes it true. The given points are solutions to the functions whose graphs pass through those points.
Part A.The function p(x) is defined to pass through points (4, 1) and (-3, -2).
The function f(x) is defined to pass through points (-7, 3) and (-3, -2).
These function definitions have point (-3, -2) in common.
(-3, -2) is the solution to the equation p(x) = f(x).
Part B.The function f(x) is defined to pass through points (-7, 3) and (-3, -2).
Two solutions to f(x) are (-7, 3) and (-3, -2).
We could identify other solutions, (1, -7) for example, but there is no need since the problem statement already gives us two solutions.
Part C.The solution to the equation p(x) = g(x) can be read from the graph as approximately (4.074, 1.032). This is close to the point (4, 1) that is used to define p(x). With some refinement (iteration), we can show the irrational solution is closer to ...
(4.07369423957, 1.03158324553)
Answer:
A) (-3, -2)
B) (1, -7) and (5, -12)
C) (4, 1) to the nearest whole number
Step-by-step explanation:
Function g(x):
[tex]g(x)=2(0.85)^x[/tex]
Function f(x) (straight line):
Given ordered pairs:
Let (x₁, y₁) = (-7, 3)Let (x₂, y₂) = (-3, -2)Calculate the slope of the straight line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-3}{-3-(-7)}=-\dfrac{5}{4}[/tex]
Using the Point-slope form of linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=-\dfrac{5}{4}(x-(-7))[/tex]
[tex]\implies y=-\dfrac{5}{4}x-\dfrac{23}{4}[/tex]
[tex]\implies f(x)=-\dfrac{5}{4}x-\dfrac{23}{4}[/tex]
Function p(x) (straight line):
Given ordered pairs:
Let (x₁, y₁) = (4, 1)Let (x₂, y₂) = (-3, -2)Calculate the slope of the straight line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-1}{-3-4}=\dfrac{3}{7}[/tex]
Using the Point-slope form of linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-1=\dfrac{3}{7}(x-4)[/tex]
[tex]\implies y=\dfrac{3}{7}x-\dfrac{5}{7}[/tex]
[tex]\implies p(x)=\dfrac{3}{7}x-\dfrac{5}{7}[/tex]
Part AWe have been given two ordered pairs for function f(x) and function p(x).
One of those ordered pairs is the same for both functions.
The solution to a pair of equations is their point(s) of intersection.
Therefore, as both functions pass through (-3, -2), this is their point of intersection and therefore the solution.
Part BThe solutions for f(x) are any points on the line of the function f(x).
To find any two points, substitute values of x into the found equation for f(x):
[tex]\implies f(1)=-\dfrac{5}{4}(1)-\dfrac{23}{4}=-7[/tex]
[tex]\implies f(5)=-\dfrac{5}{4}(5)-\dfrac{23}{4}=-12[/tex]
Therefore, two solutions are (1, -7) and (5, -12).
Part C
The solution to p(x) = g(x) is where the two graphs intersect. From inspection of the graphs, p(x) intersects g(x) at approximately (4, 1).
Therefore, the approximate solution to p(x) = g(x) is (4, 1).
To prove this, substitute x = 4 into the equations for p(x) and g(x):
[tex]\implies p(4)=\dfrac{3}{7}(4)-\dfrac{5}{7}=1[/tex]
[tex]\implies g(4)=2(0.85)^4=1.0440125=1.0\:(\sf nearest\:tenth)[/tex]
The actual solution to p(x) = g(x) is (4.074, 1.032) to three decimal places, which can be found by equating the functions and solving for x using a numerical method such as iteration.
What is the value of x?
w
t
105°
80°
Answers
Answer:
x = 75°Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Applicationx° = 180° -105°
x° = 75°
__
The value of the other angle is similarly found:
w° = 180° -80°
w° = 100°
__
Additional comment
This result comes from the inscribed angle theorem. That theorem tells you the measure of the inscribed angle is half the measure of the intercepted arc.
The opposite angles of a cyclic quadrilateral intercept the circle at the same two points, dividing the total 360° circle into two parts. Each angle has a measure equal to half its corresponding arc, so the total of the two angles is half the total of the two arcs: 360°/2 = 180°. The angles are supplementary.
A pyramid has the same volume as a cube of side 10.0 cm
The height of the pyramid is the same as the side of the square base
Calculate the height of the pyramid
Textbook says the answer is 14.4 cm but i don't understand how
Please explain with step by step explanation
Answers
The height of the pyramid is 14.4 cm.
How to find the height of the pyramid?volume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
volume of the cube = L³
where
L = side length of the cubeHence,
volume of the cube = 10³
volume of the cube = 1000 cm³
The volume of the pyramid is the same with the volume of the cube.
Hence,
1000 = 1 / 3 Bh
The height of the pyramid is the same as the square base.
Therefore,
1000 = 1 / 3 (h²)h
1000 = 1 / 3 h³
cross multiply
3000 = h³
h = ∛3000
h = 14.4224957031
Hence, the height of the pyramid is 14.4 cm.
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Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x 1)? check all that apply.
Answers
The solution for the inequality given exists x > -11/10. The inequality contains an infinite number of solutions as long as it is greater than -11/10.
How to determine the value of x?
Given: 4(2 – x) > –2x – 3(4x + 1)
The inequality can be simplified to
8 - 4x > -14x - 3
subtract 8 from both sides of the equation, and we get
8 - 4x - 8 > -14x - 3 - 8
- 4x > -14x - 11
Add 14x from both sides
- 4x + 14x > -14x - 11 + 14x
10x > - 11
x > - 11/10
The solution for the inequality given exists x > -11/10. This means that any number greater than -11/10 exists as a solution to the inequality given. The inequality contains an infinite number of solutions as long as it is greater than -11/10.
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Answer: C,E
Step-by-step explanation:
you did the work
Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold
Thin crust 307
Thick crust 224
Stuffed crust 161
Pan style 191
Based on this information, of the next 2000 pizzas he sells, how many should he expect to be stuffed crust or pan style? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answers
Answer:
797
Step-by-step explanation:
First, we need to find the number of pizzas sold last week by finding the sum of the pizzas sold:
307 + 224 + 161 + 191 = 883
Next, we need to find the proportion of stuffed crust and pan style pizzas sold last week by adding the number of both sold and dividing by the total number of pizzas sold:
(191+161) / 883 = 352 / 883
Now we need to multiply this proportion by 2000 to find the expected number of stuffed crust or pan style pizzas:
(352 / 883) * 2000 = 797.28 = 797
The formula f(x 1) = two-thirds(f(x)) defines a geometric sequence where f(1) = 18. which explicit formula can be used to model the same sequence?
Answers
The explicit formula is Tn = 18[[tex]\frac{2}{3} ^{n-1}[/tex]]
here, we have to find n.
Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12
F(3) = 2/3 * f(2) = 2/3 * 12 = 8
F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3
F(5) = 2/3 * 16/3 = 32/9
These equations form a pattern.
That is Tn = (2/3)^(n-1)(18)
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13% of a sample of 200 students do not like ice cream. what is the 95% confidence interval to describe the total percentage of students who do not like ice cream?
Answers
Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:
(8.34%, 17.66%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
For this problem, the estimate and the sample size are given, respectively, by:
[tex]\pi = 0.13, n = 200[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.0834[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.1766[/tex]As a percentage, the interval is:
(8.34%, 17.66%).
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In accordance with the marshaling of assets provision of the uniform partnership act, the correct ranking of the following liabilities of a partnership in order of payment is: $20,000 loan from a partner. $30,000 of profits from the last year of operations. $3,000 payable to a supplier. $100,000 in capital balances of the partners.
Answers
The correct order is 3,1,4,2.
(3) $3,000 payable to a supplier. (1) $20,000 loan from a partner. (4) $100,000 in capital balances of the partners.(2) $30,000 of profits from the last year of operations. What is the uniform partnership act?The Uniform Partnership Act (UPA) governs corporate partnerships in various states in the United States. When a partner dissociates, the UPA provides regulations for the dissolution of the partnership. Several revisions to the Uniform Partnership Act have been made over the years (UPA). The Revised Uniform Partnership Act refers to the revised act and changes (RUPA).The Uniform Partnership Act also governs partnership formation, liabilities, assets, and fiduciary obligations.Marshaling of assets:
The process of organizing the balance sheet elements (assets and liabilities) in a specified sequence is referred to as the marshaling of assets and liabilities. In other words, it is the process of organizing the various assets and liabilities on a balance sheet in a particular order.The order is the amount owed to a supplier, the amount of a loan from a partner, the amount of the partners' capital balances, and the number of profits from the previous year of operations.Therefore, the correct order is 3,1,4,2.
(3) $3,000 payable to a supplier. (1) $20,000 loan from a partner. (4) $100,000 in capital balances of the partners.(2) $30,000 of profits from the last year of operations.Know more about the uniform partnership act here:
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The correct question is given below:
In accordance with the marshaling of assets provision of the uniform partnership act, the correct ranking of the following liabilities of a partnership in order of payment is:
(1) $20,000 loan from a partner.
(2) $30,000 of profits from the last year of operations.
(3) $3,000 payable to a supplier.
(4) $100,000 in capital balances of the partners.
Find the width and heigth of a newer 47-inch television whose screen has an aspect ratio of 4:3
Find the área of the screen
Answers
Answer:
width: 37.6 inheight: 28.2 inarea: 1060.32 in²Step-by-step explanation:
The measurement used to describe a television is the length of its diagonal. The relation between the width, height, and diagonal is described by the Pythagorean theorem.
Diagonal unitsThe Pythagorean theorem tells us the relation between the sides of a right triangle and its hypotenuse. The diagonal of a rectangle is the hypotenuse of a right triangle whose sides are the width and height of the rectangle. If 'c' is the number of "ratio units" in the diagonal, we have ...
4² +3² = c²
c = √(16 +9) = 5
The diagonal of the screen is 5 ratio units, so the width is 4/5 of the length of the diagonal, and the height is 3/5 the length of the diagonal.
Screen dimensionsThe width is ...
(4/5)(47 in) = 37.6 in . . . width
The height is ...
(3/5)(47 in) = 28.2 in . . . height
AreaThe area is the product of the width and height:
A = WH = (37.6 in)(28.2 in) = 1060.32 in²
The area of the screen is 1060.32 square inches.
Select all angles that have a negative measure. Someone pls help.
Answers
Answer:
First and second angles going upward
Answer: 2, 4, 6
Step-by-step explanation:
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
Answers
the gardener would need (1 + 1/6) liters of water to water the whole garden.
How much water would the gardener need to water the whole garden?Here we know that the gardener needs 1/3 of a liter of water to water 2/7 of a garden.
Then we have the relation:
1/3 L = 2/7 of a garden.
Now, we want to get a "1 garden" in the right side of the equation, then we can multiply both sides by (7/2), so we get:
(7/2)*(1/3) L = (7/2)*(2/7) of a garden
(7/6)L = 1 garden.
(1 + 1/6) L = 1 garden
This means that the gardener would need (1 + 1/6) liters of water to water the whole garden.
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un tablero de plastico)
Answers
Answer:
A plastic board
If f(x)=3x, g(x)=x+2 and fog(x)=18, find the value of x.
solve this
Answers
Answer: 4
Step-by-step explanation:
f(g(x)) = f(x+2) = 3(x+2) = 18
x + 2 = 6
x = 4
Find the sum of the arithmetic series given a=2, a=35, and n=12.
Answers
The sum of an arithmetic progression with first term of 2 and the common difference of 35 is 2340
Sum of arithmetic sequenceSeries are defined as the sum of sequence. The formula for calculating the nth term of an arithmetic sequence is expressed as:
S = n/2[2a+(n-1)d]
where;
n is the number of terms
d is the common difference
a is the first term
Given the following parameters from the question
a -2
d = 35
n = 12
Substitute
S = 12/2[2(2)+(12-1)(35)]
S = 6(4+11(35))
S = 6(5+385)
S = 6(390)
S = 2340
Hence the sum of an arithmetic progression with first term of 2 and the common difference of 35 is 2340
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PLEASE HELP ASAP
Which sequence shows the numbers in order from least to
greatest?
OA) 62.85, 1-9, 6.28 x 10²
OB) 1-9, 6.28 x 10², 62.85
OC) 62.85, 6.28 x 10², 1-9
OD) -9,62.85, 6.28 x 10²
Answers
Answer:
Step-by-step explanation:
D, -9, 62.85, 6.28x100(628)
Answer:
Step-by-step explanation:
The answer would be C
Since of course negative 5 is a negative and any negative number plus a positive number would end up being a negative number and that means that that would be the least since no other number is a negative. The square root of 132.... Can it be bigger than 7 5/16? Yeah. Because the Square root of 132, if rounded, it would be 11 which 11 is greater than 7 which would mean the correct order would be -5 x 10^2, 7 5/16, and the square root of 132.
give me brainlyest
Compare and contrast dot plots and histograms. Make a list of the benefits and downsides of each.
Answers
A dot plot displays the individual data values and a histogram displays data ranges along the x-axis and uses rectangular bars to show the frequencies of values that fall into each range.
How to illustrate the information?It should be noted that dot plots, histograms, and box plots are all common graphical ways to represent data sets.
The dot plot represents data by placing a dot for each data point. Also, the histogram groups the data into ranges and then plots the frequency that data occurs in each range.
The similarities is that the dot plot and the histogram can more easily tell us the mode of our data set. A dot plot gives you a visual idea of your data, but histogram gives you additional information.
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Prove that 1 + cos theta - sin^2 theta
divided by sin theta [ 1 + cos theta]
is equal to cot theta
Answers
Answer:
CotO
Step-by-step explanation:
The process is int the picture
AB=
BC=
Help me please!! Asap thanks so much
Answers
Answer:
5 and 5
Step-by-step explanation:
[tex]AB = BC =\sqrt{(4-0)^2+(3-0)^2}=5[/tex]
Answer:
AB = 5
BC = 5
Step-by-step explanation:
The formula to find the distance between two points is: [tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
AB: 5
The two points are A(-4,0) and B(0,3).
In the formula, it will be expressed as:
[tex]\sqrt{(0-(-4))^2+(3-0)^2}[/tex]
--> [tex]\sqrt{4^2+3^2}[/tex] .
--> [tex]\sqrt{16+9}[/tex]
--> [tex]\sqrt{25}[/tex]
--> 5
BC: 5
The two points are: B(0,3) and C(4,0)
In the formula, it will be expressed as:
[tex]\sqrt{(4-0)^2+(0-3)^2}[/tex]
--> [tex]\sqrt{(4)^2 + (-3)^2}[/tex]
--> [tex]\sqrt{16 + 9}[/tex]
--> [tex]\sqrt{25}[/tex]
--> 5
So both AB and BC is 5.
How long does it take the wave to travel 6.0 m in the x-direction? 0.13 seconds 0.67 seconds 2.0 seconds 8.0 seconds
Answers
It takes the time for the wave to travel 6.0 m in the x-direction of 8s.
What is the wavelength?A wave's wavelength is measured in meters since it is the separation between its two peaks (or troughs). Since waves can be any size or shape, the prefix for meters can vary significantly, from km for radio waves to micrometers for visible light (although it is sometimes stated in nanometers) to picometers for gamma rays..
According to the information:the wavelength is 1.5 m.
λ/2 = 1 s
1.5/2 =1 s
0.75 m in 1 s is travelled by the wave.
To travel 6m , the time required is
= 6/0.75
=8s
Thus,
it takes the time for the wave to travel 6.0 m in the x-direction is 8s.
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Rearrange the formula to highlight the radius
Answers
[tex]\displaystyle\\Answer:\ r=\sqrt{\frac{3V}{\pi h} } .[/tex]
Step-by-step explanation:
[tex]\displaystyle\\V=\frac{1}{3} \pi r^2h.\\[/tex]
Multiply both sides of the equation by 3:
[tex]3V=\pi r^2h.[/tex]
Divide both sides of the equation by πh:
[tex]\displaystyle\\\frac{3V}{\pi h} =\frac{\pi r^2h}{\pi h} \\\frac{3V}{\pi h}=r^2\\ r^2=\frac{3V}{\pi h} .\\r*r=\sqrt\frac{3V}{\pi h} *\sqrt{\frac{3V}{\pi h} } \\r=\sqrt{\frac{3V}{\pi h} } .\\[/tex]
Please help me solve this, random answers will be removed.
Answers
Answer:
See below
Step-by-step explanation:
Here is one way .... I showed you how to use Law of cosines in another Q
use this to find CB
CB^2 = 13^2 + 21^2 - 2(13)(21) cos 91 <==== solve for CB
THEN use law of SINES to find angle B
sin B / 21 = sin 91 / CB (CB you found using law of cosines above)
Answer:
m∠B = 57.5°
Explanation:
Use cosine rule:
a² = b² + c² - 2bc cos(A)
inserting values
a² = 21² + 13² - 2(21)(13) cos(91)
a² = 619.529
a = √619.529
a = CB = 24.89 km
Then use sine rule:
sin(A)/a = sin(B)/b
sin(91)/24.89 = sin(B)/21
sin(B) = 21sin(91)/24.89
sin(B) = 0.843583...
B = sin⁻¹(0.843583) = 57.52° ≈ 57.5°
What is the solution to the inequality 3x - 12| ≥ 6?
0-6
02
Ox<-6 or x> 18
Ox≤2 or x ≥6
Answers
========================================
Work Shown:
|3x-12| ≥ 6
3x-12 ≥ 6 or 3x-12 ≤ -6 ..... see note below
3x ≥ 6+12 or 3x ≤ -6+12
3x ≥ 18 or 3x ≤ -6+12
3x ≥ 18 or 3x ≤ 6
x ≥ 18/3 or x ≤ 6/3
x ≥ 6 or x ≤ 2
x ≤ 2 or x ≥ 6
----
Note: if |A| ≥ B, then A ≥ B or A ≤ -B where B is some positive number.
Example: |x| ≥ 5 means either x ≥ 5 or x ≤ - 5
The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x).
Answers
the vertex of the function g(x) = f(x 2) .
A quadratic equation's vertex form is defined.If a quadratic equation is expressed as the following
[tex]y=a(x-h)^{2}+k[/tex]
It is then said to be in vertex form. Because the vertex point (peak point) occurs on the graph of this equation, it is so named (h,k)
The parabola that the quadratic equation depicts has this point (h,k) as its vertex.
How may the given equation be changed to be in vertex form?We first remove the x squared coefficient, and then inside the bracket, we strive to create a condition that resembles a perfect square.
So, this is what we have:
[tex]$f(x)=x^{2}+6 x+3$\\$g(x)=f(x-2)$[/tex]
Thus, we obtain:
[tex]\begin{aligned}&g(x)=f(x-2) \\&g(x)=(x-2)^{2}+6(x-2)+3 \\&g(x)=x^{2}-4 x+4+6 x-12+3 \\&g(x)=x^{2}+2 x-5\end{aligned}[/tex]
Vertex form transformation of g(x):
[tex]\begin{aligned}&g(x)=x^{2}+2 x-5 \\&g(x)=x^{2}+2 x+1-1-5 \\&g(x)=(x+1)^{2}-9 \\&g(x)=(x-(-1))^{2}-6 \\&g(x)=(x-(-1))^{2}+(-6)\end{aligned}[/tex]
By comparing this[tex]a(x-h)^{2}+k[/tex] to, we obtain the coordinates of the vertex of the graph of g(x) as (h,k) = (-1,-6), as shown below.
As a result, the vertex of the function g(x) = f(x 2) .
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f(x)=x^2-6. find the inverse
Answers
Answer:
f-1(x) = +- sqrt(x + 6)
Step-by-step explanation:
f(x) = x^2 - 6
y = x^2 - 6
x = y^2 - 6
x + 6 = y^2
y = +- sqrt(x + 6)
f-1(x) = +- sqrt(x + 6)
Hi :)
Let's find the inverse of the function
——————————Remember, inverse functions do the opposite things in the opposite order.
To find the inverse,
replace [tex]\boldsymbol{f(x)}[/tex] with [tex]\boldsymbol{y}[/tex]swap x's and y'ssolve for yReplace f(x) with y. (one step)
Then
[tex]\boldsymbol{y=x^2+6}[/tex]
Swap x's and y's (one step)
Then
[tex]\boldsymbol{x=y^2+6}[/tex]
Solve for y (several steps)
[tex]\boldsymbol{x-6=y^2}[/tex] > square root both sides
[tex]\boldsymbol{\sqrt{x-6}=y}[/tex] > swap y and √x-6
[tex]\boldsymbol{y=\sqrt{x-6}}[/tex]
[tex]\tt{Learn~More;Work~Harder}[/tex]
:)
In the circle below, if arc AB = 104 ° and arc CD = 26 °, find the measure of < BPA.
Answers
Consider the complex number z = 27i. what are the characteristics of the cube roots of z? use the drop-down menus to complete each sentence. the cube roots are located on a circle with center at the pole and radius of . the cube roots have arguments which differ by π over 3.
Answers
The drop-down menu will be 3 and 2.
What is the complex number?Real and imaginary numbers combine to form complex numbers with two components. Complex numbers serve as the foundation for more complex math, including algebra. They have various practical applications, particularly in electronics and electromagnetism.The complex number z = 27i.
The radius of the cube root is: [tex]r\sqrt[3]{x}[/tex]
[tex]r\sqrt[3]{27}[/tex]
[tex]r=3[/tex]
Cube roots are located in a circle with a center at the origin and a radius of 3 units.
The complex number,z=a+ib is; Θ = tan⁻¹(b/a)
The complex number z=0+27i is:
Θ = tan⁻¹(27/0)
Θ = π/2
Cube roots have more than 3 arguments that differ by 2 π.
Therefore, The drop-down menu will be 3 and 2.
To learn more about the complex number, refer to:
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The cube roots exist found on a circle with a center at the origin and a radius of 3. The cube roots contain arguments that vary by 2π over 3.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
z = 27i
The radius of the cube root is found as;
r = ∛x
substituting the values in the above equation, we get
r = ∛27
r = 3
The cube roots are located on a circle with a center at the origin and a radius of 3 units.
The argument of a complex number, z = a+ib will be
[tex]\theta[/tex] = tan⁻¹(b/a)
The argument of a complex number z = 0+27i
[tex]\theta[/tex] = tan⁻¹(27/0)
[tex]\theta[/tex] = π/2
The cube roots have arguments that differ by 2π over 3.
Therefore, the correct answer for the drop-down menu exists in 3 and 2.
To learn more about the complex number refer to;
brainly.com/question/10251853
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The SkyWheel has a diameter of 183 feet. What is the radius? (don't round and just write the numerical answer, no units)
Answers
To get diameter you need to divide the number given by 2
so
183 divided by 2 = 91
The answer is 91,5 but because they said no rounding off and no units, the answer is then 91
When given the radius and told to find the diameter, multiply the number given by 2
Answer:
The answer is
→ 91.5 feet
Step-by-step explanation:
Given:
183 feet
What were supposed to find:
The radius of the SkyWheel
Solve:183 / 2 = 91.5
How to find the radius:
To find the radius, you must divide 183 with 2, giving 91.5
Hence, the answer you are looking for is 91.5
- ✨7272033Alt✨T-shirts and sweatshirts were sold at a local shop. One salesperson sold three T-shirts and seven sweatshirts for a total amount of $240.50. Another salesperson sold six T-shirts five sweatshirts for a total amount of$220.00. Based on this information, what is the cost of a T-shirt and sweatshirt?
A. T-shirt for $9.00 and sweatshirt for $30.50
B. T-shirt for $12.50 and sweatshirt for $29.00
C.T-shirt for $11.67 and sweatshirt for $30.00
D. T-shirt for $23.70 and sweatshirt for $24.20
Answers
Answer:
B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50
- Six T-Shirts and Five Sweatshirts: $75 + $145 = $220
Step-by-step explanation:
A. - Three T-Shirts and Seven Sweatshirts: $27 + $213.50 = $240.50
- Six T-Shirts and Five Sweatshirts: $54 + $152.5 = $206.5
B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50
- Six T-Shirts and Five Sweatshirts: $75 + $145 = $220
C. - Three T-Shirts and Seven Sweatshirts: $35.01 + $210 = $245.01
- Six T-Shirts and Five Sweatshirts: $70.02 + $150 = $220.02
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