Answer:
Step-by-step explanation:
P(3 and 4)= 1/6×1/6
=1/36
Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work
Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
i chose x=3 , x=-4 which was wrong the correct answer is x=1 , x=-2
can someone please explain how to get that answer
Answer:
vertical asymptotes is x = -2 and x = 1
Step-by-step explanation:
For rational functions, the vertical asymptotes are the undefined points, also known as the zeros of the denominator (below the line), of the simplified function.
This means [tex]-4x^{2} - 4x + 8[/tex] is equal to zero than solve
*image below*
Hope it helps :)
Let me know if you have any questions or anymore help lmk, happy to help with any school work!!
We are give with the function:
[tex]{\quad \qquad \longrightarrow f(x)=\dfrac{x^{2}+x-12}{-4x^{2}-4x+8}}[/tex]
Vertical asymptotes are the points, where the function is not defined, so the denominator must be equal to 0 for making f(x) not defined
[tex]{:\implies \quad \sf -4x^{2}-4x+8=0}[/tex]
Dividing both sides by -4, we have;
[tex]{:\implies \quad \sf x^{2}+x-2=0}[/tex]
Can be further written as:
[tex]{:\implies \quad \sf x^{2}-x+2x-2=0}[/tex]
[tex]{:\implies \quad \sf x(x-1)+2(x-1)=0}[/tex]
[tex]{:\implies \quad \sf (x-1)(x+2)=0}[/tex]
Using zero product rule, Equating both multiplicants to 0, we have:
[tex]{:\implies \quad \boxed{\bf{x=1\quad or\quad -2}}}[/tex]
This is the required answer
PLEASE ANSWER FAST
Thirteen earthquakes were measured using the Richter scale. Their magnitudes are listed below. What is the range for this data set?
8.2, 3.1, 5.9, 2.5, 6.2, 5.1, 7.6, 9.3, 8.1, 7.4, 7.8, 6.5, 8.7
A. 6.8
B. 2.6
C. 4.1
D. 5.6
The range is found by subtracting the smallest data value from the largest data value. Here, the smallest data value is 2.5 and the largest is 9.3. Therefore, the range is:
[tex]9.3 - 2.5 = 6.8[/tex]
Therefore, the answer is Option A.
Just for extra.
The variance:1. The steps that follow are also needed for finding the standard deviation. Start by writing the computational formula for the variance of a sample:
[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1}[/tex]
2. Create a table of 2 columns and 14 rows. There will be a header row and a row for each data value. The header row should be labeled with x and x^2. Enter the data values in the x column, with each data value in its own row. In the second column, put the square of each of the data values, x^2.
x y
8.2 67.24
3.1 9.61
5.9 34.81
2.5 6.25
6.2 38.44
5.1 26.01
7.6 57.76
9.3 86.49
8.1 65.61
7.4 54.76
7.8 60.84
6.5 42.25
8.7 75.69
3. Find the sum of all the values in the first column, [tex]{\sum}{x}[/tex].
[tex]\sum{x} = 86.4[/tex]
4. Square the answer from step 3, then divide that number by the size of the sample.
[tex]\frac{({\sum}{x})^2}{n} = \frac{7464.96}{13} = 574.22769230769[/tex]
5. Find the sum of all the values in the second column, [tex]{\sum}{x^2}[/tex].
[tex]{\sum}{x^2} = 625.76[/tex]
6. Subtract the answer in step 4 from the answer in step 5.
[tex]{\sum}{x^2} - \frac{({\sum}{x})^2}{n} = 625.76 - 574.22769230769 = 51.532307692308[/tex]
7. Divide the answer in step 6 by n - 1, one less than the size of the sample. This answer is the variance of the sample.
[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1} = \frac{ 51.532307692308 }{12} = 4.294358974359[/tex]
Standard DeviationTo find the standard deviation, first write the computational formula for the standard deviation of the sample.
[tex]{s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}[/tex]
Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by [tex]s[/tex]. Here, we round the standard deviation to at most 4 decimal places.
[tex]{s} = \sqrt{4023.0714285714} = 63.4277[/tex]
Suvam fixed the price of a watch as Rs. 1200 and he sold it allowing a discoiunt of 15% and made a profit of Rs. 120. What was the cost price of the watch? Find it.
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
No
Step-by-step explanation:
If you look at the graphs of the two expressions when x > 8
you will see that 2^x is greater
Yes that's true
because
As we can observe the table
The values of 5x²
5204580The values of 2^x
24816Clearly Tyler is correct
But
This is just according to table
After some while 2^x will shift gears to go ahead of 5x² side
Example
2^9=256=5125(9)²=5(81)=4051. A rectangular pool is 8 yards long, 6 yards wide, and 5 feet deep. Convert the measurements of the length and width to feet.
Answer:
19
Step-by-step explanation:
which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9
Answer:
3
Step-by-step explanation:
3÷3=1
cant be divided by 9 and get a whole number
3÷9=.33333
You are looking over your grades in a class
and want to calculate your average score per
lesson.
Your lesson scores are: 75, 85, 90, 90, 100,
75, 80, 100, 90.
What is the mean? Round to the nearest %.
Answer:
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
Step-by-step explanation:
I forget
Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Samantha and Mia are 13 km apart from each other.
What is Pythagoras theorem?The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
As Mia walked 7km/h and she is 7 km north of Julia's house.
and, Samantha walked 11km/h and she is 11 km west of Julia's house.
The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.
the distance between the girls is shown by, hypotenuse of triangle
Using Pythagoras theorem,
[tex]H^{2} =P^{2} +B^{2}[/tex]
[tex]H^{2} =7^{2} +11^{2}[/tex]
[tex]H^{2} =49+121\\[/tex]
H= [tex]\sqrt{170}[/tex]
H= 13.038
H= 13 Km
They are 13 km apart from each other.
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Answer:
13.0 km
Step-by-step explanation:
2. What is the circumference of the circle?
e) 26π cm²
g) 6767 cm²
f) 52π cm²
h) 1697 cm²
Answer:
26π cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
= π × 26
= 26π cm
▶︎◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◀︎
[tex]Hello[/tex] [tex]There![/tex]
We are looking for the circumference of the circle.
It's not hard, I promise! I will take you through a few steps, and we'll find the answer.
Are you ready? Then let's begin...:)
[tex]Procedure:[/tex]
First, we need a formula for the circumference. We can't find the circumference without a formula!
· Luckily, there is a formula for the circumference:
⇒ [tex]C=\pi d}[/tex]
Whoa. What's that?!
No worries, I'll clarify everything in a moment. :)
We are looking for the circumference.
In this formula, what stands for the circumference?
That's right, [tex]C[/tex].
Now, what is this: [tex]\pi[/tex]?
This letter stands for pi - a constant in maths that comes in handy when we're searching for the circumference of a circle (or area).
It has an infinite number of digits after the decimal point, and these digits never repeat!
You might be thinking, "Oh no! Are we really going to use that infinite number?!"
The answer is "No". Mostly, we use 3.14 for [tex]\pi[/tex], because these are the first three digits of pi, but since we aren't asked to use 3.14 for pi, we just press the [tex]\boxed{\pi }[/tex] button on our calculator.
Whew!
And then last but not least, we see "d". This isn't a constant, this is the diameter.
Checking our provided information, we see that the diameter is 26 cm.
Now, we substitute 26 for d:
[tex]\bold{C=\pi (26)}[/tex]
[tex]\bold{C=\pi *26}[/tex]
And now all we have to do is type these numbers into our calculator, and find the answer:
[tex]\bold{C\approx81.7\:cm}[/tex]
Hooray! We've found the circumference!
But wait - why isn't 81.7 an option?
Because what we need to do is write it in terms of pi, which is even easier, because we just substitute 26 for d:
[tex]\bold{C=\pi *26}[/tex]
➢ Rearrange the order of the terms:
[tex]\bold{C=26\pi \:cm}[/tex]
▲ Circumference
Now there's another thing - why are all four options with units squared?
Circumference isn't measured in units squared, the area is!
▶︎ Incase you need the area, here it is:
[tex]\bold{A=\pi r^{2}}[/tex]
A=Area (what we're looking for)
[tex]\pi[/tex] = pi
Here we have a new variable - it's r, which is the radius.
Do you see that [tex]^2[/tex] next to r? It means that r is squared, or multiplied by itself.
You might be thinking, "But we don't have the radius!"
If we have the diameter, finding the radius is a piece of cake, because we divide the diameter by 2:
[tex]\bold{26\div2}[/tex]
[tex]\bold{13}[/tex]
Now we substitute 13 for r and evaluate:
⇒ [tex]\bold{A=\pi (13)^{2}}[/tex]
13 times itself is 169:
⇒ [tex]\bold{A=169\pi \:cm^{2}}[/tex]
Whew! We're finally done!
hope it's helpful!wishing you a great day!
[tex]Greetings![/tex]
--
what is 2 times 2 times 5 times 6 divided by 3 and subtracted 3 and plus 1?
Answer:
38
Step-by-step explanation:
2(2) = 4
4(5) = 20
20(6) = 120
120/3 = 40
40 - 3 = 37
37 + 1 = 38
Prove .. help me pls
Answer:
Step-by-step explanation:
need help with sigma notation
Answer:
114126Step-by-step explanation:
The given expression describes the GP with
The first term:
t = 80(1.23²⁻²) = 80(1.23⁰) = 80The common ratio:
r = 1.23It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)
The number of terms is
n = 29 - 2 + 1 = 28The sum of the first 28 terms is
Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)Answer:
114,126 (nearest whole number)
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
Given:
[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]
The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.
First term (a)
Determine the first term by substituting n = 2 into the given expression:
[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]
Common ratio (r)
From inspection, the common ratio is 1.23.
nth term
As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.
Therefore:
a = 80r = 1.23n = 28Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Substituting the given values into the formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]
Therefore, the sum of the given geometric series is 114,126 (nearest whole number)
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
10 m
10 m
6 m
16 m
What is the value of B?
36 m2
48
18 m2
54 m?
30 m
The area of the base of the triangular prism is 48 square meters. Then the correct option is B.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
The figure is shown below.
Then the area of the base of the triangular prism will be
[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]
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The area of a DVD is 36π cm.2. What is the diameter of the DVD?
Answer:
i had done this before so thats your answer, pls follow
The diameter of the DVD is 12 units.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. It is the overall area that the object's surface occupies.
As per the given data:
The area of the DVD is equal to 36π cm².
We have to find out the diameter of the DVD.
As we know that a DVD is having a circular shape:
Area for a circle is given by πr², where r is the radius of the circle.
From the given data in the question:
πr² = 36π
r² = 36
r = √36
r = 6 units
The diameter of a circle is double the radius of the circle.
Diameter = 2r = 2 × 6 = 12 units
The diameter of the DVD is 12 units.
Hence, the diameter of the DVD is 12 units.
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The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP
The radius of the circle is 5.30 cm.
What is a radius?A radius is a line that extends from the center of a circle to any point of the circumference.
To calculate the length of the radius of the circle, we use the formula below.
Formula:
A = πr²......... Equation 1
Make r the subject of the equation
r = √(A/π).................. Equation 2Where:
A = Area of the circler = Radius of the circleπ = PieFrom the question,
Given:
A = 88.44 cm²π = 22/7Substitute these values into equation 2
r = √(88.44/(22/7))r = √(88.44×7/22)r = √(28.14)r = 5.30 cmHence, the radius of the circle is 5.30 cm.
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Solve 1 over 3 (2x - 8) = 4
Answer:
X=10
Step-by-step explanation:
1. 1/3 (2x-8)=4
2. 2x/3 - 8/3 = 4
3. 2x/3 = 4+2 2/3
2x/3 = 6 2/3
2x/3 = 20/3(Criss cross method)
6x = 60
x=10
brainly pls!
Need help please answer ASAP!
Answer:
(2) B
Step-by-step explanation:
According to the graph
p(2, 3) so (-b, a) is (-3, 2)
So B is right
Answer:
[tex]B = ( - b,\: a)[/tex]
Step-by-step explanation:
Since P has the coordinates (a, b), then (a,b) would be (2, 3). Therefore:
[tex]a = 2\: and \: b = 3[/tex]
We are trying to find what point has the coordinates (-b, a). Recall:
[tex]a = 2 \: \: \: \: \: \: \: \: b = 3 \\ ( - b, \: a) = \\ ( - 3, \: 2)[/tex]
The point that is at (-3, 2) is point B.
Based on this deck of 46 cards, which event has a probability of 2746?
a. P(not Star)
b. P(Circle or Rectangle)
c. P(not Diamond)
d. P(Rectangle)
Answer:
B
Explanation:
There are 19 rectangles and 8 circles
19
+8
27 so it would be 27/47
I don't understand someone help pls
Answer:
Find x
The angles are corresponding.
We have
x+35°+90°=180 (angles in a triangle)
x= 55°
Please give Brainliest
Answer:
x = 20 degrees
Step-by-step explanation:
I cannot give a thorough explanation but I will show my workings and reasoning.
Reasoning:
Vertically opposite angles are equal
Angles in a triangle add up to 180 degrees
Workings:
35 multiplied by 2 is 70
70 add 90 is 160
180 minus 160 is 20
x = 20
Alicia found $1.90 on the beach. Her brother found three times as much money. How much money did Alicia and her brother find in total? $5.70 $7.60 $9.60 $11.40
Answer:
$7.60
Step-by-step explanation:
If you multiply 19.0 by 4 then you get $7.60
Can someone help me?
Answer:
D. plain quadrilateral
Step-by-step explanation:
This is a vocabulary question.
__
A parallelogram is a quadrilateral (4-sided plane figure) with both pairs of opposite sides parallel. A rhombus is a special case of a parallelogram in which the sides have equal lengths.
A trapezoid is quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is one that has equal-length non-parallel sides.
__
The given figure has no parallel sides, so is none of the above. It is a ...
plain quadrilateral
ANSWER FAST GET 100 POINTS AND BRAINLIEST
The graph below shows Kate's distance from her home (y), in miles, after a certain amount of time (x), in minutes:
Graph titled Kates Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5 and 6, 6 and 7, 6 and 8, 6.
Four students described Kate's motion, as shown in the table below:
Student Description
Mary She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 8 minutes.
Lucy She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 2 minutes.
Tim She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes.
Pamela She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 8 minutes.
Which student most accurately described Kate's motion?
Mary
Lucy
Tim
Pamela
The student with the most accurate description of the graph that represents Kate's movement is Tim
The student with the accurate descriptionFrom the graph that represents Kate's distance per minute, we have the following highlights:
Kate drives at an irregular speed for 2 minutesThen she drives at a regular speed for 4 minutesThen she stopped moving for the next 2 minutesThe student's description that matches the above highlights is Tim
Hence, the student with the most accurate description is Tim
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Based on the scenario above, the student that most accurately described Kate's motion is Tim.
What is Motion?Motion is defined in physics, as the way that an object alters its position over time.
Note that in the scenario above, Tim said that Kate drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes and thus he is correct about Kate's motion.
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The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m
The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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Please show me the steps of solving this and the answer 2n² +3n-9
Answer: n=-3 and n=3/2
Step-by-step explanation:
To solve the expression, we want to find the values of n. Since there are no common factors in 2, 3, -9, we directly multiply the "a" and "c" values.
2×(-9)=-18
This means, we want to find two numbers that multiply to -18 and adds to 3. This can also be known as the cross method.
We will find that 6 and -3 multiply to -18, and adds to 3.
In our box method, we want to find the common factors.
|2n²|6n|
|-3n|-9|
Note: Just pretend the lines line up and form a square box, with a term in each box.
After finding that is in common between the boxes, we get (n+3)(2n-3)=0
To solve, we set each factor equal to 0.
n+3=0
n=-3
2n-3=0
2n=3
n=3/2
Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
1,0,3,0,2,1
Using this data, create a dot plot where each dot represents a concert
In this picture dots are clearly shown the frequency of the concert.
What is Frequency?Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.Here, in given data about the six concerts
Concerts Frequency
0 2
1 2
2 1
3 1
Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.
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f(x) = x2. What is g(x)?
Answer:
A. g(x) = -x^2 - 3.
Step-by-step explanation:
If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)
To get g(x) we then translate the image 3 units down,
g(x) = -x^2 - 3.
If an event is unlikely to occur , the probability is between ___ and ___ on the probability spectrum .
Answer:
1% and 49%
Step-by-step explanation:
0% is impossible
1%-49% is unlikely
50% is as likely as not
51%-99% is likely
100% is certain
hope this helps!
Please help meeeee !
Helppppppppppppppppppppp
Answer:
I'd say think
Step-by-step explanation:
Do 3i =(7²)
3i=49
Answer:
see explanation
Step-by-step explanation:
given a polynomial has roots x = a and x = b , then the corresponding factors are
(x - a) and (x - b)
the polynomial is then the product of the factors , that is
f(x) = (x - a)(x - b)
note that radical and complex roots occur in conjugate pairs.
(5)
given x = - 3i is a root then x = 3i is also a root
factors then are (x - 3i) , (x + 3i) , (x - 7) , then
f(x) = (x - 7)(x - 3i)(x + 3i) ← expand 2nd pair using foil
= (x - 7)(x² - 9i²) [ i² = - 1 ]
= (x - 7)(x² + 9) ← distribute factors
= x³ + 9x - 7x² - 63
f(x) = x³ - 7x² + 9x - 63
(6)
roots are x = [tex]\sqrt{5}[/tex] , x = - [tex]\sqrt{5}[/tex] , x = i , x = - i , and factors are
(x - [tex]\sqrt{5}[/tex] ) , (x + [tex]\sqrt{5}[/tex] ) , (x - i) , (x + i) and
f(x) = (x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )(x - i)(x + i) ← expand pairs of factors using FOIL
= (x² - 5)(x² + 1) ← distribute factors
= [tex]x^{4}[/tex] + x² - 5x² - 5
then
f(x) = [tex]x^{4}[/tex] - 4x² - 5