Answer: 70
Step-by-step explanation:
you would do 8C4
If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
To find the Ways can 8 pieces of art in the front window be arranged in the display window.
Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.
here we have
n= 8
r= 4
substituting the values,
[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]
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Mike had two hundred fifty- eight dollars to spend on nine books. After buying them he had fifteen dollars. How much did each book cost?
Answer:
$27 per book
Step-by-step explanation:
258 - 9(books) = 15
258-15 = 243
243 / 9=27
Simplify the following:
a. a+a+a+a+a+a
b. 5x-4x+10x
c. 9t+3t-6t
d. -5j+11j+j
=(a+a+a+a+a+a)
= 6a
b. 5x-4x+10x=(5x+−4x+10x)
= 11x
c. 9t+3t-6t=(9t+3t+−6t)
= 6t
d. -5j+11j+j=(−5j+11j+j)
= 7j
a)= 6a
b)= 11x
c)=6t
d)= 7j
have a great day!Janice and her family are traveling from North Carolina to Florida for vacation. The first day, they will
travel 435 miles and the second day they will travel an additional 389 miles. About how many miles will
Janice and her family travel altogether?
Answer: 824 Miles
Step-by-step explanation:435 + 389
Which one is it Equal to?
By the way this is a Math Question.
Which constant term would mean that the expression is completely factored? x2 – 3x
Answer:
answer is 10
Step-by-step explanation:
Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit
Answer:
50% or 1/2
Step-by-step explanation:
There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.
(36√6 + 6^5/2 / 108×12)^2=6^n , then find the value of n?
[tex](\frac{36\sqrt{6}+6^{\frac{5}{2}}}{108\times12})^{2}=6^{n} \\ [/tex]
Thank you.....
Step-by-step explanation:
Given: [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
Asked: Find the value of n = ?
EXPLANATION:
Given that:
[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ
⇛(6³⁻²)² = 6ⁿ
⇛(6¹)² = 6ⁿ
⇛6² = 6ⁿ
When an exponential has the same base on each side, then the exponents must be equal.
Therefore, n = 2.
Answer: The Value of “n” for the given problem is 2.
factor the polynomial
x^2y + x
Answer:
x(xy + 1)
Step-by-step explanation:
The two terms have the common factor x.
x²y + x = x(xy + 1)
PLEASE ANSWER BOTH QUESTIONS DUE TODAY!!!! (19 POINTS)
Answer:
A) 8,500
B) B, C
Step-by-step explanation:
A) This seems to be a conversion problem. Since she runs 3 km every Monday Wednesday, and Friday, she would be running 6 km in total every week EXCLUDING the 2,500 meters. Since the question asks how many meters Kailee runs, you would need to convert 6 km to m and add the result to 2,500 meters. To convert km to m you just need to divide the value by 1000 (if your teacher asks for the full conversion method its 6 km * 1 m/1000 km or [tex]6 km * \frac{1m}{1000 km}[/tex]), so 6 km is 6,000 meters. Adding 6,000 to the left over 2,500 from Saturday, the final answer will be 8,500.
B) For the second question, the answer are the two angles BELOW angle A (I'm guessing it is choice B and C). A right angle can be envisioned as a corner of a square or rectangle. The only angle which are larger (wider) are the angles below A (with the long hand pointing at 1 and the long hand pointing at 2).
What’s the highest common factor of 36 and 45?
Answer:
9
Let's view the list of factors 36 and 45 have, starting with 36
1, 2, 3, 4, 6, 9, 12, 18, 361, 3, 5, 9, 15, 454 × 9 = 36
5 × 9 = 45
That said, the greatest common factor of 36 and 45 is 9
Find an orderd pair (x,y) that is a solution to the equation 4x+y=9
Answer:
Below in bold.
Step-by-step explanation:
4x + y = 9
Let's put x = 0 then:
4(0) + y = 9
0 + y = 9
y = 9
So one. ordered pair that is a solution is (0, 9)
Find the unknown length of the side labeled x.
When we are given sides and an angle, and a right triangle (seemingly), the easiest method of solving is using trigonometry.
Remember: SOH-CAH-TOA
Looking from the given angle, we are given the opposite side and want to know the hypotenuse. Therefore, we should use the sin function.
sin(34) = 2 / x
(x)(sin(34)) = 2
x = 2 / sin(34)
x = 3.7801
x = 3.7801
---Feel free to round to whereever you need/is required by your assignment.
Hope this helps!
The lengths of all sides are different in which type of triangle?.
Let's first consider all the different types of triangles:
Scalene Triangle: all side lengths of this triangle are of different lengthsIsosceles Triangle: the lengths of two of the three sides of the triangle are equalEquilateral Triangle: lengths of all the sides are equalWhat we are looking for:
⇒a triangle with all the sides of different length
The only triangle to fit that requirement is: Scalene Triangle
Hope that helps!
Find the measure of <1
Please answer ASAP will give brainliest
Answer: 70 degrees
Step-by-step explanation:
The measure of the angle created by a tangent and a chord is half the measure of the arc.
Line segment XY begins at (-6,4) and ends at (-2,4). The segment is reflected over the x-axis and translated left 3 units to form line segment X'Y'. Enter the lenght, in units, of line segment X'Y'
Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Line segment XY begins at (-6,4) and ends at (-2,4). Hence:
[tex]XY=\sqrt{(4-4)^2+(-2-(-6))^2}=4\ units[/tex]
XY is reflected over the x-axis and translated left 3 units to form line segment X'Y'. Hence:
XY = X'Y' = 4 units
Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.
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Given the figure below, find the value of x and z.
Answer:
x=10, z=106
Step-by-step explanation:
vertical angles: 10x-26=74
10x=100
x=10
supplementary angles: 74+z=180
z=106
help pls !!!!! will mark brainliest
Answer
The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063
Step-by-step explanation:
Find the area of the parallelogram.
A 12 foot ladder is set up 5 feet from the base of a building.How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot
Answer:
about 10.9 feet
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex] {h}^{2} + {5}^{2} = {12}^{2} [/tex]
[tex] {h}^{2} + 25 = 144[/tex]
[tex] {h}^{2} = 119[/tex]
[tex]h = 10.9[/tex]
PLEASE HELP DUE TODAY!!
What is the value of x?
Enter your answer in the box.
x =
2√3
hope it helps...!!!
Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin
Answer:
[tex]\cos(63^\circ)[/tex] is the same as [tex]\sin(27^\circ)[/tex] by co-function identities
Step-by-step explanation:
Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.
Also recall the co-function identities:
sin (90° – x) = cos xcos (90° – x) = sin xThis means that [tex]\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454[/tex].
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
Independent
Step-by-step explanation:
Barbie selecting a coin and putting it back in has no effect on Darren selecting a coin from the jar, as the numbers of each coin never changed. So, both events are independent with neither relying on the other.
[tex]\sf what's\: the \:answer\:?[/tex]
[tex]4x+3(x-1)=67[/tex]
Answer:
x = 10
Explanation:
4(x) + 3(x-1) = 67
apply distributive method
4(x) + 3(x) -3(1) = 67simplify
7(x) - 3 = 67change side
7(x) = 67 + 3simplify
7(x) = 70divide both sides by 7
x = 10On the same coordinate plane mark all points (x,y) such that
(A) y=x+3
(B) y=-x+3
(C) y=|x|+3
The graphs of the 3 given functions can be seen in the image attached at the end.
How to mark all the wanted points?
Here we basically want to graph the next 3 functions:
y = x + 3
y = -x + 3
y = |x| + 3
So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.
The last one is the absolute value function translated up by 3 units.
So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:
y = 0 + 3 = 3
So we have the point (0, 3)
For that same line we can evaluate in x = 1
y = 1 + 3 = 4
Then we also have the point (1, 4).
Now we have 2 points, we can just connect them with a line.
The graph of the 3 equations can be seen below.
A is the blue line, B is the red line, C is the orange graph.
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helpppvprfeeeepppppppp
Answer:
4/63 yd^3
Step-by-step explanation:
The volume of a rectangular prism is length*width*height
so:
[tex]\\\frac{5}{9} *\frac{1}{5} *\frac{4}{7}[/tex]
4/63 yd^3
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h+92
Step-by-step explanation:
The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
x²+x+7=0
O a
The discriminant is -29.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 1.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Oc
The discriminant is -27.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 27.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Ob
Od
Answer:
See below ~
Step-by-step explanation:
Finding the discriminant
√b² - 4ac√(1)² - 4(1)(7)√-27⇒ The discriminant is -27.
⇒ Because the discriminant is less than 0, the two roots are complex.
What is the quadratic formula?
Answer:
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
now look at the converse of the proceeding theoreman proof who we begin with the given that two lines of parallel instead of the given of the sum of the interior angles formed is 180° in the next diagram LM while AB and BC a transversials
Step-by-step explanation answer:
ABC Must be 180 degrees because we have formed a Triangle. Using the Triangle Angle Sum therom all angles within the triangle must add up to a 180 degrees hence 180s is needed for the triangle
A student will ask his classmates one survey question. Which of the following is a statistical question that should result in varied responses?
A.
What is the length of a yardstick in inches?
B.
What is the total number of inches in 3 feet?
C.
What is the total number of cups in 1 gallon?
D.
What is the number of gallons of water in a pool?
Answer:
D) What is the number of gallons of water in a pool?
Step-by-step explanation:
A statistical question consists of varied responses and not just 1 specific answer. For example, the first 3 questions only have 1 specific answer each, while the last question can vary depending on the size of the pool.