Answer:
The 6 rules/steps are below
Step-by-step explanation:
1. determine the smallest and largest number
2. Using the largest and smallest number, make sure that your graph can fit both of those numbers
3. identify the stems/tens place
4. fill in the leaves/ones place
5. Sort them from lowest to highest
6. Check
Which of the following arcs are congruent in the circle below?
A. AC = ABD
B. CD = BD
C. CD = AB
D. AB = BD
Answer:
C
Step-by-step explanation:
CB is congruent to AB because the both are 30 degrees
Let ABCDEFGH be a cube.
a) How many different segments can you form by connecting the vertices of the cube?
b) How many different triangles can you form by connecting 3 of the vertices of the cube?
Answer:
a) 28
b) 56
Step-by-step explanation:
A cube is a three dimensional shape gotten from a square. It has 6 faces, and an equal line segment that form its sides.
A vertex is the edge of a figure.
In the given cube ABCDEFGH, since the vertices to be considered are not only the adjacent vertices, then;
a) By connecting the vertices of the cube, 28 different segments can be obtained.
b) The number of triangles that can be formed by connecting 3 of the vertices of the cube is 56.
What are two different ways you could find the value of a? Explain these methods.
Answer:
Using the Pythagorean theorem we can know from the first triangle that the height of the two triangles are 12. So, we then know that a = 20.
(Root 15^2-9^2=12) (Root 12^2+16^2=20)
Another way is using the whole triangle. The step above used two triangles. The two triangles together makes a big right triangle, so we can again use the Pythagorean theorem. So, the answer again is 20.
(Root 25^2-15^2=20)
Step-by-step explanation:
Using the Pythagorean theorem we can know from the first triangle that the height of the two triangles is 12. So, we then know that a = 20.
We have to find the value of ‘a’ using two different ways.
By the Pythagorean theorem,
By cross multiplication,
16(25) = a2
a2 = 400
Taking square root,
a = 20
Therefore, the length of the other side a = 20.
How do you find the value?
You can calculate the mean value by adding up the numbers and then dividing the result by the number of numbers. For instance, to find the mean value of 4, 1, 3, and 8, first, add up the numbers: 4+1+3+8=16 4 + 1 + 3 + 8 = 16.
What is the value of a b )( A B?Therfore=a2−b2.
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Find the zeros of y = x2 - 8x - 3 by completing the square.
O A. x=3+√7
B. X = +3
C. X = 4 + 119
O D. X= -4 + 119
Answer:
Assuming that you meant 4+√19 is C.
Step-by-step explanation:
[tex]x^2-8x-3=x^2-2(4)x-3=x^2-2(4)x+16-3-16\\(x-4)^2-19\\(x-4)^2-19=0\\(x+4)^2=19\\x+4=\sqrt{19} \\x=-4+-\sqrt{19}[/tex]
Write the first four terms in the following sequences. A(n+1)=12 A(n) for n≥1 and A(1)=4 .
Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8
I have no clue what the answer is. Please help ASAP
Answer: C
Step-by-step explanation:
I hope it right :)
solve by factoring x^2+5x-14=0
Answer: {-7, 2}
Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.
Notice that the left side of the equation is a trinomial in a special
form that can be factored as he product of two binomials.
As our first term for each binomial, we have the factors of x², x · x
and as the second term, we have the factors of -14 that add to 5.
In this case, the factors are +7 and -2.
So we have (x + 7)(x - 2) = 0.
If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.
Solving for x in each equation, we have x = -7 or x = 2.
We can write our answer as the solution set {-7, 2}.
The solution of quadratic equation is,
⇒ x = - 7, 2
We have to given that,
An equation is,
⇒ x² + 5x - 14 = 0
We can factorized the above quadratic equation as,
⇒ x² + 5x - 14 = 0
⇒ x² + (7 - 2)x - 14 = 0
⇒ x² + 7x - 2x - 14 = 0
⇒ x (x + 7) - 2 (x + 7) = 0
⇒ (x + 7) (x - 2) = 0
This gives,
x + 7 = 0
x = - 7
x - 2 = 0
x = 2
Therefore, The solution of quadratic equation is,
⇒ x = - 7, 2
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If tanx = 1, and 0< x < 90 degrees, find cos(x/2)? a. [tex]-\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] b. [tex]\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] c. [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex] d. [tex]-\frac{\sqrt{2}-\sqrt{2} }{2}[/tex]
Answer:
B is the correct answer.
Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.
100 POINTS!!! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Answer:
6 combinations
Step-by-step explanation:
There are 6 combinations because:
1.) Red coat, black scarf, white gloves.
2.) White coat, grey scarf, white gloves.
3.) Pink coat, black scarf, white gloves.
4.) Red coat, grey scarf, white gloves.
5.) White coat, black scarf, white gloves.
6.) Pink coat, grey scarf, white gloves.
please solve these questions for me. i am having a difficult time understanding.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.
Also need the slow of line p
Answer:
y + 5 = (1/3)(x - 6)
Step-by-step explanation:
Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q: -1/3.
Starting with the point-slope formula y - k = m(x - h), we get
y + 5 = (1/3)(x - 6)
~khan academy 7th grade
Which of the following expressions represents the distance between 1.71.7 1.7 1, point, 7 and −12-\dfrac{1}{2} − 2 1 minus, start fraction, 1, divided by, 2, end fraction on a number line? Choose 1 answer: Choose 1 answer: (Choice A) A ∣1.7−12∣\left\lvert 1.7 -\dfrac{1}{2}\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7− 2 1 ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, start fraction, 1, divided by, 2, end fraction, close vertical bar (Choice B) B ∣1.7−(−12)∣\left\lvert 1.7 - \left(-\dfrac{1}{2}\right)\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7−(− 2 1 ) ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis, close vertical bar (Choice C) C None of the above
Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:
[tex]A.\ |1.7 - 1/2|[/tex]
[tex]B.\ |1.7 -(-1/2)|[/tex]
C. None of the above
Answer:
[tex]B.\ |1.7 -(-1/2)|[/tex]
Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;
[tex]Difference = 1.7 - (-1/2)[/tex]
Then, we calculate the distance;
In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;
Hence,
[tex]Distance = |Difference|[/tex]
Substitute [tex]1.7 - (-1/2)[/tex] for Difference;
[tex]Distance = |1.7 - (-1/2)|[/tex]
Hence, the correct option is B
The expression that represents the distance between 1.7 and -0.5 is given by |1.7 - (-0.5)| and this can be determined by using the arithmetic operations.
Given :
Numbers -- 1.7 and -0.5
The distance between two points 1.7 and -0.5 is given by:
Distance = 1.7 + |-0.5|
= 2.2
Now, check all the options in order to determine the correct option:
A) |1.7 - 0.5|
Simplify the above expression.
|1.7 - 0.5| = 1.2
B) |1.7 - (-0.5)|
Simplify the above expression.
|1.7 - (-0.5)| = |1.7 + 0.5| = 2.2
Therefore, the correct option is B).
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Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x
Answer:
Option (A)Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
[tex]4=a(b)^{(-2)}[/tex]
[tex]4=\frac{a}{b^{2} }[/tex] ------(1)
For second point (-1, 2),
[tex]2=a(b)^{-1}[/tex]
[tex]2=\frac{a}{b}[/tex] -----(2)
Dividing equation (1) by equation (2),
[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]
[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]
[tex]2=\frac{1}{b}[/tex]
b = [tex]\frac{1}{2}[/tex]
From equation (1),
[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]
[tex]f(x)=(\frac{1}{2})^x[/tex]
Option (A) will be the answer.
Answer:Answer:
Option (A)
Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
------(1)
For second point (-1, 2),
-----(2)
Dividing equation (1) by equation (2),
b =
From equation (1),
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) =
Option (A) will be the answer.
Step-by-step explanation:
is this right?? please help!
Answer:
6 < x < 8
Step-by-step explanation:
The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.
-47 > 1 -8x > -63 . . . . given
Multiply by -1:
47 < -1 +8x < 63
Add 1:
48 < 8x < 64
Divide by 8:
6 < x < 8
______
* You can tell this is the case by looking at the ends of the given statement:
-47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.
Simplify
(5/7)a²+13-(5/7)a-3
Answer:
c
Step-by-step explanation:
combine like terms:
5/7a^2+-5/7a+10
HOPE THIS HELPS!!!!!!:)
Describe the transformation of ƒ(x) = 10x which is given by g(x) = 103x. Question 20 options: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x). B) g(x) is stretched vertically by a factor of 3 compared to ƒ(x). C) g(x) is shrunk vertically by a factor of 1∕3 compared to ƒ(x). D) g(x) is stretched horizontally by a factor of 3 compared to ƒ(x).
Answer: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Step-by-step explanation:
Given: f(x) 10x
g(x) =10(3x)
= f(3x)
Since, f(ax) is a horizontal compression when a> 1 by the factor of [tex]\dfrac{1}{a}.[/tex]
That means g(x) is shrunk horizontally by a factor of [tex]\dfrac{1}{3}[/tex] compared to ƒ(x).
So, the correct option is A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Answer:
Step-by-step explanation:
Answer: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Which calculation can be used to find the value of p in the equation p3 = 8?
Answer:
[tex]\boxed{p=\sqrt[3]{8}}[/tex]
Step-by-step explanation:
p³ = 8
Take the cube root on both sides.
[tex]\sqrt[3]{p^3 } =\sqrt[3]{8}[/tex]
[tex]p=\sqrt[3]{8}[/tex]
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
[tex]p^3 = 8[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{p^3} = \sqrt[3]{8}[/tex]
=> p = [tex]\sqrt[3]{8}[/tex]
Monique uses a random number generator to simulate the results of a coin
toss. She assigns the number 0 to heads and the number 1 to tails. If 800
numbers are generated, how many tails can she expect?
Answer:
She can expect 400 tails.
Step-by-step explanation:
When doing a coin toss, the theoretical probability of getting either heads or tails is 1/2. If we apply this fraction to the 800 total simulated tosses, she should get about 400, more or less.
Answer:
400
verified on a p e x
Is my answer correct. If not, what is the answer ? Thank you
Answer:
P = 3
Q = -4
R = 22
Step-by-step explanation:
Expand both sides and compare coefficients.
5Px^2 -PQx +10x -2Q = 15x^2 + Rx +8
Compare coefficients of x^2
5P = 15 => P = 3
Compare constant terms
-2Q = 8
Q = -4
Compare coefficients of x
-PQ + 10 = R
-(3)(-4) + 10 = R
R = 10 + 12 =22
Aja has $30 to spend on a new backpack for the upcoming school year. She goes to Target, where all students receive a 15% discount. Aja finds a backpack at target that comes to $29.50 plus 6% sales tax. Does Aja have enough money? By how much or how little? (Add the sales tax to the cost before you take away the discount)
Answer:
Yes she has enough money. She would have $3.42 left over.
Plz help meeee -28=n(-7)
Answer:
n=4
Step-by-step explanation:
-28 divided by -7 is 4
Answer:
4
Step-by-step explanation:
divide -7 on both sides
-28/-7=4
Use substitution to determine if the solution is correct (PINK HIGHLIGHTED ONE!!!)
Answer:
It is not correct.
Step-by-step explanation:
If you plug 4 in for x, you get -2*4+5=13. This simplifies to: -8+5=13. This is an untrue statement since -8+5 is actually -3, not 13.
Hope this is helpful! :)
Answer:
undefined
Step-by-step explanation:
So with the following equation,
-2x + 5 = 13
we plug in 4 for x
-2(4) + 5 = 13
-2 * 4 = -8
-8 + 5 = 13
-8 + 5
-3 = 13
-3 is not 13 so it is undefined
Thus,
the answer is undefined.
Hope this helps :)
heeeeeeeeeeeeeeeeelp
Answer:
A no-doest pass the vertical line test
Step-by-step explanation:
the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once
hope this helps:)!
It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
*PLEASE ANSWER* What is the perimeter of the triangle below?
Answer:
16.7 Units
Step-by-step explanation:
To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units
Answer:
it is b
Step-by-step explanation:
just because it is ...
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
The number of students that fit in each van is _ and the number of students that fit in each bus is _
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
a 5 ounce bottle of hair conditioner is priced at $2.55. what is the price per ounce
Answer:
¢51
Step-by-step explanation:
The price of once ounce of hair conditioner is 2.55 divided by 5 which is equal to 0.51. Convert that into cents and you get: ¢51.
Solve 15 + a = 31 for a
Answer:
a = 16
Step-by-step explanation:
To solve your question all you have to do is subtract 15 on both sides so,
15 - 15 + a = 31 - 15
Which will give you,
15 - 15 = 0
31 - 15 = 16
So,
a = 16
Hope this helps!!
Answer:
16Step-by-step explanation:
[tex]15 + a = 31[/tex]
Move constant to R.H.S and change its sign
[tex]a = 31 - 15[/tex]
Subtract the numbers
[tex]a = 16[/tex]
Hope this helps..
Best regards!!
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 27.5 B) 5.5 w - 3.25 = 27.5 C) 5.5 w = 27.5 D) 5.5 - 3.25 w = 27.5
Answer:
C. 5.5 = 27.5
Step-by-step explanation:
The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.
5.50 multiplied by how many widows (w) are washed should equal 27.50
Therefore C. 5.5 = 27.5 is the answer
Answer:
C) 5.5 w = 27.5
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
(3 - 3i)^3
Simplify and write answer in standard form, a + bi
Answer: -54-54i