By using Permutation, the total number of ways in which we can choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver is 1512.
Permutation is defined as the arrangement of items in a specific or a particular order.
Since there are 3 choices for the position of offensive lineman, and for the next position there are 9 choices, similarly 8 choices for the next position and 7 choices remain for the last position.
So we get, 3x9x8x7 =1512, by the concept of Permutation.
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Help please this is due later on.
Answer:
[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]
A 6-foot- tall electric pole casts a shadow that is 24 feet long. What is the ratio
of the pole's height to its shadow?
The ratio of the pole's height to its shadow is 1:4.
What is a ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.So, the ratio of height:shadow:
The height of the pole is 6 feet.The shadow the pool creates is 24 feet.The ratio will be:
6:246/241/41:4
Therefore, the ratio of the pole's height to its shadow is 1:4.
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9) Determine the domain and range of the function represented in the graph. A. Domain: – 1
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y
so
In this problem
The domain is the interval {-1,3}
so
[tex]-1\leq\text{ x }\leq3[/tex]The range is the interval {-4,5}
so
[tex]-4\leq\text{ y}\leq5[/tex]answer Option A
Meow meow please help me
Answer:
area of trapezium → 1/2 × Sum of parallel sides × Distance between them.
Area → 15in² {given}
B1 → 4in
B2 → 6in
15 = 1/2 × ( 4+6 ) × h
h = 15 × 2 ÷ 10
h = 3in
I hope it's helpful
Answer:
i wouldd but likee
Step-by-step explanation:
i didnt pay a single second of attention in math
Find the distance between the ordered pairs.
(w + 2, m) and (2t, c - 3) when w = 6, m = 3, t = 4
and c = 10.
The distance between the ordered pairs is 4 units
What is distance formula?
Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)
We are given the ordered pair (w+2,m) and (2t,c-3)
We are given the value w = 6, m = 3, t = 4 and c = 10.
Substituting the values in the pairs
We get,
(6+2,3),(2(4),10-3)
(8,3),(8,7)
We use distance formula to find the distance
[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]
Hence the distance between the ordered pairs is 4 units.
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David will rent a car foe a day. The rental company offers two pricing options: Option A and Option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below.
Let
y ----> total cost in dollars
x -----> number of miles
we have that
Option B
y=50
Option A
Find out the slope
take two points from the graph
(0,20) and (150,50)
m=(50-20)/(150-0)
m=30/150
m=1/5=$0.20 per mile
therefore
y=0.20x+20
Part A
For x=75 miles
Option A -----> y=0.20(75)+20=$35
Option B ------> y=$50
therefore
Option A costs less
Find out the difference
$50-$35=$15
Cost $15 less than the other option
Part B
Looking at the graph
For x=150 miles
Both options cost the same
If David drives more than this amount option B costs less
Austin makes a
commission of 20% on
his sales each week.
Last week, his sales
were $520. How much
was Austin’s
commission?
Answer:
His commission is 104$.
Step-by-step explanation:
1. Find 20% of 520$, which is 104$.
That's the answer! Please mark me as the brainliest!
Find the approximate perimeter of the isosceles triangleAOPD. Round your answer to the whole number.
The perimeter of the given triangle is the sum of the following segments:
Perimeter = PD + DO + OP
based on the given graph, you have that the coordinates of the points PDO are:
P: (1,-6)
D: (4,3)
O: (7,-6)
use the following formula for the distance in between two points:
d = √((x2 - x1)²+(y2 -y1)²)
where (x1,y1) and (x2,y2) are two points on the cordinate system.
For segement PD you have:
PD = √((1-4)²+(-6-3)²) = √(100) = 10
For segemtn DO:
DO = √((4-7)²+(-6-3)²) = √(100) = 10
For segment OP:
OP = √((1-7)²+(-6+6)²) = √36 = 6
then, the perimeter of the triangle is:
perimeter = 10 + 10 + 6 = 26
Answer the question below
Answer:
(a)
[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]
(b)
[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]
(c)
[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]
PLEASE ANSWER
A) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price
(per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?
The equation will be used for solving the retail price is y = 1.8x
Given,
The equation will be used for solving the retail price is y = 1.8x
A local shoe store buys shoes at a wholesale price.
and mark up 80%
The table is:
Quantity Wholesale Price
0-20 pairs $25.00
21-40 pairs $23.00
41-60 pairs $21.00
61-80 pairs $19.00
81 or more pairs $17.00
To find the retail price for each range.
Now, According to the question:
An equation will be used :
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
Quantity of :0 - 20 pairs.
= 25 x 1.80
= $45.00
Quantity of: 21 - 40 pairs
= 23 x 1.80
= $41.40
Quantity of: 41 - 60 pairs
= 21 x 1.80
= $37.80
Quantity of: 61 - 80 pairs
= 19 x 1.80
= $34.20
Quantity of: 81 or more pairs
= 17 x 1.80
= $30.60
Hence, The equation will be used for solving the retail price is y = 1.8x
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helppppp!!!!!!! 16 points if solveddd!!!!!!!!
Answer:
£94
Step-by-step explanation:
24+ (14×5) = £94
p.s pls give brainliest answer :)
A line passes through the points (5, 1) and (7, 11). Which equation represents the line?
The equation of line is y = -x + 6
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
The given point are (5, 1) and (7, 11)
We know, the equation of line is,
y = mx + b
where, m = slope
b = y-intercept
First, find slope i.e m
we know the formula of slope (m) = (y2 - y1) / (x2 - x1)
The points, (x1, x2) = (5, 1) and,
(y1, y2) = (7, 11)
put these values in slope formula,
m = (11 -7) / (1 - 5)
= 4 / -4
m = -1
we get the slope is -1
Next, find y-intercept i.e 'b'
for that, take any one point I'm taking (5, 1) and put these in equation ,
y = mx + b
1 = -1 * 5 + b
1 = -5 + b
b = 6
Now, put slope (m) and y-intercept (b) value in ,
y = mx + b
we get,
y = -x + 6
Hence, the equation of line is y = -x + 6
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Caleb predicted that his favorite player would score 27 points in the firrst round of the NCAA tournament game. The player actually scored 23 points. What is the percent ERROR of Caleb's prediction? Round your answer to the nearest tenth of a percent.
Given that
Caleb predicted player would score 27 points.
But he scored 23 points.
so percentage error,
[tex]\begin{gathered} \text{percetage error=}\frac{27-23}{27}\times100 \\ =\frac{4}{27}\times100 \\ =14.81\text{ \%} \end{gathered}[/tex]PLEASE HELP ME THIS IS DUE IN 30 MINTUES!
Answer:
70
Step-by-step explanation:
Proportional means in a ratio.
Picking any L/W from the table works. Set that equal to 42/W.
[tex]\frac{6}{10} =\frac{42}{W}[/tex]
Solve for W.
6W = 42 * 10
6W=420
W=70
Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14 ! cm. What is the perimeter of AABC? O 36 cm O 38 cm О 40 cm • 50 cm
The perimeter of the triangle ABC is equal to 36 centimeters. (Correct choice: A)
How to determine the perimeter of a triangle congruent to another triangle
Triangles are close figures with three sides and three internal angles. Two triangles are congruent when they share sides with same lengths and angle and side distributions, then AC ≅ XZ, BC ≅ YZ and AB ≅ XY. The perimeter is the sum of the lengths of the three sides of the figure, then:
p = 10 cm + 12 cm + 14 cm
p = 36 cm
The perimeter is equal to 36 centimeters.
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Two triangles are congruent if all of their sides are the same. Perimeter of triangle ABC is 36cm.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are congruent if all of their sides are the same.
By data triangle ABC and triangle XYZ are congruent.
In triangle ABC, AB = 12 cm and AC = 14
In triangle XYZ, YZ = 10 cm and XZ = 14
As ABC and XYZ are congruent then the other side of triangle ABC has 10cm.
Perimeter of triangle=Sum of three sides
=10+12+14
=36
Hence perimeter of triangle ABC is 36cm.
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Factor Pairs (MAJOR POINTS!)
Answer:
3rd option
Step-by-step explanation:
the factors of 48 are
1 , 2, 3, 4, 6, 8, 12, 16 , 24 , 48
the factor pairs are
1 × 48 , 2 × 24 , 3 × 16 , 4 × 12 , 6 × 8
Please help me, it is sooooo important
Answer:
1: figures a and b
2: figures a and b
3: figure a
Step-by-step explanation:
2 & 3:
all squares are rectangles, but not all rectangles are squares
Hope this helps!
What is the perimeter of this 48" by 60" rug?
find the product
6x/(-2)
Answer:
-12xy
The result of the expression given as 6x/(-2) is -3x
How to determine the product?From the question, the expression is given as
6x/(-2)
The above expression is a quotient expression
So, we start by rewritting it as a product
This is represented as
6x/(-2) = 6x * 1/(-2)
Remove the bracket
So, we have the following equation
6x/(-2) = 6x * 1/-2
Evaluate the product
6x/(-2) = -3x
Hence, the value of the expression is -3x
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I’m not english person. I cannot understand those. Can someone explain some of them please? I’m trying to pass an english math exam..
Step-by-step explanation:
lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer
A plumber charges a flat fee of 75 to visit a home and examine a clogged drain. The plumber charges an additional 22 per hour spent fixing the drain. The total cost, (in dollars), for fixing a drain that takes hours is given by the following.
The expression for the total cost is 75 + 22h
How to calculate the cost?From the information, the plumber charges a flat fee of 75 to visit a home and examine a clogged drain and also charges an additional 22 per hour spent fixing the drain.
Therefore, the amount that will be charged for each hour will be:
= 75 + (22 × h)
= 75 + 22h
where h = number of hours.
For example if the number of hours is 5 hours. This will be:
= 75 + 22h
= 75 + 22(5)
= 75 + 110
= 185
Your information was incomplete but an overview was given.
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6) Bill found a pair of jeans that cost $35.00. If he had a 20%-off coupon, how much would the
jeans cost?
Heraldo starts a push-up challenge, and on the first day does 10 pushups, the second day he does 13, the third day he does 16, and so on.
Write the recursive definition for this sequence, and then find how many pushups he should do on the 20th day, if he continues.
Answer:
Day 20 = 67 pushups (64+3)
Step-by-step explanation:
Day 1 = 10 pushups Day 2 = 13 pushups (10+3) Day 3 = 16 pushups (13+3)
He does three more pushups each day.
So day 4 = 19 pushups (16+3)
Day 5 = 22 pushups (19+3)
Day 6 = 25 pushups (22+3)
Day 7 = 28 pushups (25+3)
Day 8 = 31 pushups (28+3)
Day 9 = 34 pushups (31+3)
Day 10 = 37 pushups (34+3)
Day 11 = 40 pushups (37+3)
Day 12 = 43 pushups (40+3)
Day 13 = 46 pushups (43+3)
Day 14 = 49 pushups (46+3)
Day 15 = 52 pushups (49+3)
Day 16 = 55 pushups (52+3)
Day 17 = 58 pushups (55+3)
Day 18 = 61 pushups (58+3)
Day 19 = 64 pushups (61+3)
Day 20 = 67 pushups (64+3)
Calvin wants to sell a basic badminton kit to his friends. In that kit, he puts two rackets worth
140 each and a shuttlecock worth 280. He wants to have a profit of 25%.
For how much should Calvin sell the kit?
Answer:
realto, hindi ako sure eh
Step-by-step explanation:
tama yan
two students each use a random number generator to pick an integer between 1 and 8 inclusive. what is the probability that they pick the same number? (enter your answer as a fraction.)
The probability that they pick the same number is 1/8.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
As given two students each use a random number generator to pick an integer between 1 and 8 inclusive.
So, the possible choices are,
8 - 1 + 1 = 8 Possible choices: 1, 2, 3, 4, 5, 6, 7, 8.
So, the probability is, 1/8.
Therefore, the probability that they pick the same number is 1/8.
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NEED HELP PLEASE!!!!!
Answer: [tex]x=-\frac{1}{2}, y=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}[/tex]
what is the answer to (-6, 9), (7, -9)?
Answer:
100000000000000000000000000000
Step-by-step explanation:
The first term of a pattern is 12. The pattern follows the rule "multiply by 4." What are the next three terms?
The next three terms for the pattern will be 12, 48, 192 and 768.
What is a pattern?It is important to note that a pattern is used to show the sequence of events.
In this case, the first term of a pattern is 12 and the pattern follows the rule "multiply by 4."
This will be:
First term = 12
Second term = 12 × 4 = 48
Third term = 48 × 4 = 192
Fourth term = 768
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The sum of an integer and 6 times the next consecutive odd integer is 61. Find the
value of the lesser integer.
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
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What is the slope-intercept of (-4,-5) and slope is 1/2
We are given a set of coordinates which are;
[tex](-4,-5)[/tex]And the slope which is;
[tex]\frac{1}{2}[/tex]The equation of a line in slope-intercept form is;
[tex]y=mx+b[/tex]Note that in this equation, the variable m is the slope (that is, the coefficient of x). we can now substitute for x, y and m into the equation above and we'll have;
[tex]\begin{gathered} y=mx+b \\ \text{Where,} \\ x=-4,y=-5,m=\frac{1}{2} \\ -5=\frac{1}{2}(-4)+b \\ -5=-2+b \\ \text{Add 2 to both sides of the equation;} \\ -3=b \end{gathered}[/tex]We now have the values of the slope and the y-intercept as
[tex]m=\frac{1}{2},b=-3[/tex]The equation now can be written as;
[tex]\begin{gathered} y=\frac{1}{2}x+(-3) \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]ANSWER:
[tex]\begin{gathered} m=\frac{1}{2} \\ b=-3 \\ \text{Equation;} \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]