Answer:
40320 ways
Step-by-step explanation:
Given
Paintings = 8
Required
Determine the number of arrangements
From the question, we understand that the order of arrangement matters;
This implies permutation and is calculated as thus;
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
In this case,
[tex]n = 8[/tex]
[tex]r = 8[/tex], because all paintings are hung;
Substitute 8 for n and r, respectively
[tex]^8P_8 = \frac{8!}{(8-8)!}[/tex]
Evaluate the denominator
[tex]^8P_8 = \frac{8!}{0!}[/tex]
[tex]^8P_8 = \frac{8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{1}[/tex]
[tex]^8P_8 = 40320[/tex]
Hence, the number of arrangement is 40320 ways
the graph of y=f(x) is shown below. find all the values of x where f(x)=1
When you substitute the value of x = 3, you get f(x) = 1.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Here the given graph of y = f(x) is shown.
When you substitute the value of x = 3, you get f(x) = 1.
Hence, you can get f(x) = 1 by substituting the value of x = 3
Learn more about the parabola here:
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Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!
Answer:
The radius is already given, which is 6 in.
Diameter is equal to 2 times the radius (2x6), which is 12 in.
Finally, circumference is equal to 3.14 times the diameter, which is 37.68 in.
Let me know if this helps!
6.28 * 6 : 37.68
note:
radius is the length of half the circle. and diameter is always double the radius.
please help me with this questions. Will Mark brainliest.
Answer: 355
And 33 eggs
Step-by-step explanation:
8 × 40 = 320
7/8 × 40= 35 Add 35+320 = 355
2 × 12= 24 3/4 of 12 = 9
Add 9+24=33
You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.
2 3/4 becomes 4×2=8
8+3=11 Divide the other factor by the denominator: 12÷4=3
Then multiply by the "improper" numerator 3×11=33
8 7/8 becomes 71/8
40/8=5
5×71=355
Answer:
355
Step-by-step explanation:
So, you first multiply 8 with 8 = 64
Then 64 + 7 = 71
So, 71 is the numerator and 8 stays the denominator.
Now you have 71/8 *40.
You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.
Now we have 71 * 5 = 355
hope it helps!
PLEASE brainliest me!
Use a number line to approximate the value of :
Answer:
9 < [tex]\sqrt{88}[/tex] < 10
Step-by-step explanation:
[tex]\sqrt{88}[/tex] = 9.38083152
Answer:
Third option
Step-by-step explanation:
Notice that √88 is close to √81 wich is 9.
● √88 is greater than √81 so it is greater than 9.
● √88 is less than √100 wich is 10
● so √88 is between 9 and 10
Please help! Solve for p: -p + 8 - 9 = 9
Answer:
-10
Step-by-step explanation:
-p+8-9=9
-p-1=9
-p=10
p=-10
If dn = ‾‾√24, what value of n makes this equation true?
Answer:
1/24
Step-by-step explanation:
Answer:
1/24 makes this equation true
What will I get for this 16 + x = 12
Answer:
x = -4
Step-by-step explanation:
16 + x = 12
16 - 16 + x = 12 - 16
x = -4
Help, show work please.
Answer:
A
Step-by-step explanation:
A: 0^2+8=8
B: 1^2+8=9
C: 2^2+8=12
D: 3^2+8=17
as 8 is the smallest, A is the answer
Find the value of m∠ACD. A. 30º B. 15º C. 60º D. 90º
Answer:
A. 30 degrees
Step-by-step explanation:
Set the two angles equal to each other:
3x-15 = 45-x
Solve for x:
4x -15 = 45
4x = 60
x = 15
Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.
45 - 15 = 30
Answer:
A 30 degrees
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Answer:
The correct option is;
C. Quadratic
Step-by-step explanation:
The given information are;
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
Therefore, we have;
The value of the corn = Amount of corn left × Price of corn
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left = 1000 - 10×t
Where;
t = Time in minutes
Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.
Therefore, the correct option is a quadratic model.
Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What is the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50
Please include all work!
Answer: 1. A. y=17x
2. $59.50
Step-by-step explanation:
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = [tex]\dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17[/tex],.
Equation of direct variation between x and y : [tex]y=kx[/tex]
Put k= 17 , we get
[tex]y=17x[/tex] , which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
[tex]y=17(3.5)=59.5[/tex]
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph
Negative Correlation - These variables point towards the left making them negative.
Positive Correlation - These variables point towards the right making them positive.
No Correlation - These variables have the same x coordinates or same y coordinates.
Hope that helped!!! k
What is the solution of the inequality shown
below?
y+7<-1
Answer:
y<-8
Step-by-step explanation:
y<-1 - 7
y<-8
Answer:
y < -8
Step-by-step explanation:
To solve an inequality, we must get the variable, y, isolated on one side of the inequality.
[tex]y+7 < -1[/tex]
7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.
[tex]y+7-7< -1-7[/tex]
[tex]y < -1-7[/tex]
[tex]y < -8[/tex]
The solution to the inequality is: y< -8
3. If a function maps Set A to Set B, do all elements of Set A
have to be used?
Answer:
So we have a function such that:
Takes elements of Set A, and maps them into Set B.
So Set A is the domain, and Set B is the range.
Where the domain is defined as the set of all the possible inputs of a function, and the range is the set of the possible outputs.
In principle, yes, if f(x) maps Set A into Set B, all the elements of Set A should be used, why?
Because we need to check if there is a problem with Set A, for example the function f(x) = 1/x has a problem when x = 0, so we remove x = 0 from the domain of that function.
So, a function is only a function if it maps ALL the elements of its domain into only one element in the range.
Find the percent of change if the original price is $246.95 and the new price is $199.95. Round to nearest tenth of a percent if necessary. Show your work and state whether this is an increase or decrease.
Answer:
Percentage change = 19%Step-by-step explanation:
Since the new price is lesser than the original price the percentage change will be a decrease.
To find the percentage change use the formula
[tex]Percentage \: \: change = \frac{change}{original \: \: quantity} \times 100[/tex]
To find the change subtract the new price from the original price
new price = $199.95
original price = $246.95
Change = $246.95 - $ 199.95 = $47
[tex]Percentage \: \: change = \frac{47}{246.95} \times 100[/tex]
Percentage change = 19%Hope this helps you
Find the probability of rolling a die and
getting a 6. Write your answer as a
fraction.
Answer:
1/6
Step-by-step explanation:
there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]
Jill has two dimes she is going to use to perform a probability experiment. What is the theoretical probability that at least one of the two coins will turn up
heads?
75%
50%
Answer:
50%
Step-by-step explanation:
its a 50/50 chance on it landing either heads or tails
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!
Triangles △DEF and △ABC are congruent. Which of the following sequences of transformations maps △DEF onto △ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90° rotation about point B.
Sequence B --> A 90° rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A
b) Only sequence B
c) Both
d) Neither
**note: picture attached below.**
The answer is D because then triangles DEF and ABC would map onto one another
What is a Triangle?
Triangle is a plane figure with three straight sides and three angles.
How to determine?The answer is D because then triangles DEF and ABC would map onto one another.
Learn more about Triangles:
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A teacher took a group of 48 students to the movie theater. They have saved $353 in a fund for the students' tickets. How much money will they have left in the fund if the ticket for each student was $7
Answer:
$17
Step-by-step explanation:
If each ticket is $7 and there are 48 student multiply 7 and 48 to see how much the tickets were in total (336)
Now subtract 353 and 336 to see how much money is left (17)
Answer: -17?
Step-by-step explanation:
because 7*48= 336
then you would do 336-353= -17
which gave me the answer of -17
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
A is plotted on a coordinate grid at start bracket 3 and 1 over 2, negative 1 end bracket.. Choose the correct grid that best shows the location of the point. A coordinate grid that shows a point located 4 units to the left and 1 unit down from the origin. A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin. A coordinate grid that shows a point located halfway between 3 and 4 units to the left and 1 unit up from the origin. A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit up from the origin.
Answer:
im so sorry for the other answer i reported it and im gonna help with this question because i have the same question on my test.
ok so i got C it makes the most sense to me but if im wrong then ill delete this.
If im correct please mark me as brainliest
Step-by-step explanation:
yes this is wrong but i cant delete it so just ignore it
Answer:
B 3 1/2 to the right and one unit down
Step-by-step explanation:
A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?
Answer:
The length of one side of the octagon is 7.65 cm
Step-by-step explanation:
The parameters given are;
A regular octagon inscribed in a circle of radius, r, of 10 cm.
The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon
The sum of interior angles in a polygon, ∑θ[tex]_i[/tex] = 180 × (n - 2)
Where;
n = The number of sides of the polygon
θ[tex]_i[/tex] = The interior angle of the polygon
For the octagon, we have;
n = 8, therefore;
∑θ[tex]_i[/tex] = 180 × (8 - 2) = 1080
Given that there are eight equal angles in a regular octagon, we have;
∑θ[tex]_i[/tex] = 8 × θ[tex]_i[/tex] = 1080
θ[tex]_i[/tex] = 1080/8 = 135°
The sum of angles at the center of the circle = 360
Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°
The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ[tex]_i[/tex]/2
The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon
From trigonometric ratios, the length of the base of the isosceles triangle is therefore;
2 × r × cos(θ[tex]_i[/tex]/2) = 2×10 × cos(67.5°) = 7.65 cm
The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.
Below, create a post, and in 3-5 complete sentences, explain how you would use a number line to solve the problem (-6) + 15.
Answer:
ok
Step-by-step explanation:
First you would put a circle on -6. Next you would count 15 spot away from the -6. Lastly you would mark the answer
Hi. Please i need help with this question.
Find the operation used in determining each of the values in the diagram.
Workings Please.
Answer:
3*3+1=10
4*4+5=21
Step-by-step explanation:
You square the number in the first box
3*3=9
4*4=16
And add the number in the second box with the result.
3*3=9+1=10
4*4=16+5=21
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.
3² + 1 = 9 + 1 = 10
4² + 5 = 16 + 5 = 21
în 2017, the Pew Research Center published the results of a survey on gun ownership. A random sample of 3930 American
adults aged 18 years and older participated in this survey. Of these 3930 individuals, 1269 individuals reported that they
owned at least one gun. Of these self-reported gun owners, 850 said the reason they owned a gun was for protection. Based on
this information, determine the sample proportion, p, of gun owners from this survey who own a gun for protection.
(Use decimal notation. Give your answer to three decimal places.)
Answer:
The sample proportion, p, of gun owners who own gun for protection is 0.67
Step-by-step explanation:
The information given are;
The sample size = 3930
The number of individuals who reported that they owned guns at least on gun = 1269
The number of the self reported gun owners that said the reason they owned gun for protection = 850
The sample proportion, p, of gun owners who own gun for protection is given as follows;
p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)
p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)
Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.
can somewon plz help me
Answer:
1253 in^3
Step-by-step explanation:
The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.
The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3
The total volume is the sum of these two volumes: 1253 in^3
Answer:
1253 in^3
Step-by-step explanation:
Volume of small one is 7*5*5 = 175
Volume of the large one is 11*14*7 = 1078
To find the total volume we add them up. We get 1253 and since we are talking about volume it is 1253 inches cubed
the formula for a trapezoid is A= 1/2h(b1+b2) which equations are equivalent to the formula
Answer:
A=[tex]\frac{a+b}{2} (h)[/tex]
Step-by-step explanation:
Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The options are:
h=2A/(b1+b2)b1=2A/h - b2b2= 2A/b1 - hb2= 2A/h - b1b1= 2A//b2 - hWe have a formula for finding the area of the trapezoid:
[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]
Make a subject h and solve for h:
[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]
or
[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]
[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]
[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]
Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
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In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third
side, AB of ^ABC
Answer:
pythagorean theorem - The length of the hypotenuse squared will always equal the sum of A squared and B sqaured. The equation is A^2 + B^2 = C^2.
Step-by-step explanation:
For Example
A = 4 A^2 = 16
B = 2 B^2 = 4
C = ? C^2 = ?
16 + 4 = 20
[tex]\sqrt{20}[/tex] ≈ 4.5
C/Hypotenuse = 4.5
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy? A. 1.4 gal B. 2.5 gal C. 3.5 gal D. 4.5 gal
Answer:
2.5 gallons (B)
Step-by-step explanation:
1 gallon is equal to 4 quarts. So, if Mary bought 10 quarts, that is 10/4 gallons. Simplified, 10/4=5/2=2.5 gallons.