she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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Find the measures of complementary angles with measures 9x+6 and 3x degress
Step-by-step explanation:
As we know that the value of Complementary angle is always 90°
9x° + 6° + 3x° = 90°
12x° + 6° = 90°
12x° = 90° - 6
12x° = 84°
[tex]x° = \frac{84°}{12°} \\ [/tex]
x° = 7°
☘️☘️☘️ ...
Mitch drew lines , k, and t so that and k were parallel. He labeled a pair of alternate interior angles 1 and 2. Which diagram did Mitch create?
Considering the concepts of parallel lines and alternate interior angles, it is found that Mitch created diagram C.
What are parallel lines?Parallel lines are lines that never intersect. For this problem, lines l and k are parallel, that is, they are the horizontal lines.
What are alternate interior angles?When two parallel lines are crossed by a transversal, the alternate interior angles are between the two parallel lines, one in each side.
Since 1 and 2 are alternate interior angles, Mitch created diagram C.
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What is the slope or pitch of this roof? 12 feet run rise 3 feet
Math 1332
Answer:
3/12 or 1/4 in simplest fraction form
Step-by-step explanation:
Slope is given by the formula rise/run
Here rise = 3, run = 12
So slope = 3/12 = 1/4
Can someone help me with this please?
Answer:
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
Step-by-step explanation:
(Only in 7th so might be wrong)
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
look at the range of where the x and y is at (1-2 included = 1<x≤2)
the graph shows a company’s profit. the shaded region represents values when the profits were greater than projected
The region represented by the inequality in vertex form is the inequality in the last option y ≥ -(x - 50)² + 625.
What is a quadratic inequality?An inequality with a quadratic expression is referred to as a quadratic inequality.It is of the form y > ax² + bx + c (or substitute <,≥ or ≤ for > ) represents a region of the plane that a parabola encircles.Let's assume that the equation is y = a(x - h)² + k
y = a(x - 50)² + 625
Put the point (61,504) in the equation
⇒ 504 = a(61 - 50)² + 625
⇒ 504 = a(11)² + 625
⇒ 504 = 121a + 625
⇒ 121a = -625 + 504
⇒ 121a = -121
⇒ a = -1
y = -(x - 50)² + 625
Hence the inequality is y ≥ -(x - 50)² + 625.
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(x,y) —> (y,x)
I can’t do this one
Answer:
I legit don't remember lol
Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds are much riskier,
earn 8% annual interest. You decide to invest $2000 in a (CD) and the balance in bonds. How much interest would you have
earned at the end of one year? How much interest would you have earned compounded annually after 2 years?
Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.
Remember: Interest - Principal x Rate x Time
A. $360, $794.40
B. $120, $240
C. $360, $746.40
Answer:
b
Step-by-step explanation:
earned at the end of one year? How much interest would you have earned compounded annually after 2 years?
Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.
Remember: Interest - Principal x Rate x Time
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
that represents the relationship between the total cost and number of people attending.
Answer:
95 + (15 x n) n = number of people attending
Step-by-step explanation:
the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$
a plank of wood is 220 cm long.I cut it in 14cm pieces. what lenght of wood i will have left over?
The required Length is 10cm.
What is length?
Length is a measure of distance. In the International System of Amounts, length is a volume with dimension distance. In utmost systems of dimension a base unit for length is chosen, from which all other units are deduced.Length is generally understood to mean the most extended dimension of a fixed object. still, this isn't always the case and may depend on the position the object is in.Varied terms for the length of a fixed object are used, and these include height, which is the perpendicular length or perpendicular extent, and range, breadth, or depth. Height is used when there's a base from which perpendicular measures can be taken. range or breadth generally relates to a shorter dimension when the length is the longest one.220 / 14 gives us 15.
You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.
thus 14 * 15 = 210
So 220- 210 = 10
where you know 220- 210 is< 15
Hence, The correct Length is 10cm.
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What is the answer to 10 2/3 x 5 3/8
Answer:
57.3
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]
[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]
[tex]\mathsf{= \dfrac{172}{3}}[/tex]
[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Sally can paint a room in 6 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;
T_Together=1/Rate_Together
=1/(1/3+1/6)=1/(1/2)=2 hours
A region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57. Find the percent of increase in average movie theater ticket price
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
A region's average movie ticket price in 2007 was $6. 51
A region's average movie ticket price in 2017 was $8. 57
Increase in price = 8.57 - 6. 51 = $1.06
Percentage of increase = (increase in price / original price)*100
= (1.06/6.51)*100
16%
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
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Which expression has the greatest absolute value?
Answer:
3 because everything is minus
Translate the sentence into an equation.
Six more than the quotient of a number and 4 is equal to 8.
Use the variable x for the unknown number.
Answer:
(n ÷ 4) + 6 = 8
Step-by-step explanation:
Pretty sure I answered this before, but here you go.
Quotient means The answer when you divide' So we are working in the division.
n ÷ 4 is the division part
It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)
Lastly it says the answer must be 8 so we add that at the end. So the answer is:
(n ÷ 4) + 6 = 8
all
S
ants
mber
4. FIELD TRIP The sixth-grade teachers
collected money from students during
three days for theater tickets to a
play. The ticket cost a whole number
of dollars. If every student paid the
same amount, what is the most the
tickets could cost per student?
Monday
Tuesday
Wednesday
$64
$36
$52
Answer:
Monday.
Step-by-step explanation:
total money = the cost of one day x the number of students
$64 > $52 > $36
$64 is the greatest, so the correct answer is monday.
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.
Using it's concepts, we have that:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.Since each value of the input is mapped to only one value of y, it is a function.What are the domain and the range of a relation?The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.When does a relation represents a function?
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.
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4.
A standard glass of wine is 5 oz. How many full glasses of wine can you get from a typical 750 ml bottle?
full 5-oz glasses of wine.
Answer:
5
Step-by-step explanation:
750ml= 25 fluid oz each glass is 5oz
5/25=5oz
A small business owner visits her bank to ask for a loan. The owner states that she can repay a loan at $1,900 per month for the next three years and then $3,800 per month for two years after that. If the bank is charging customers 9.75 percent APR, how much would it be willing to lend the business owner?
The amount will be $141647.55.
we need to use the present value of an annuity formula:
the formula used to determine the present value factor of an annuity is:
present value annuity factor = [1 - 1/(1 + i)ⁿ ] / i
we must divide this into 2 parts:
the first part will deal with the $19,00 monthly payment
the second part deals with the $38,000 monthly payment
i = 9.75% / 12 = 0.8125%
n (first part) = 36
n (second part) = 24
the PV annuity factor for first part = [1 - 1/(1 + 0.8125%)³⁶ ] / 0.8125% = 31.1043
the PV annuity factor for second part = [1 - 1/(1 + 0.8125%)²⁴ ] / 0.8125% = 21.7251
loan = ($219,00 x 31.1043) + ($38,00 x 21.7251)//(1 + 0.8125%)³⁶ = $59092.17 + $82555.38 = $141647.55
hence we get the amount as $141647.55
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1.2 A pyramid, with the base similar to an obtuse-angled triangle as indicated by the diagram below. A = 110°, B = 40° and BC = 6 meters. The perpendicular height of the pyramid is 8 meters
1.Calculate the length of AB
2.Calculate the area of the base.
3.Calculate the volume of the pyramid
a) The length of the side AB is approximately 11.276 meters.
b) The area of the base of the pyramid is approximately equal to 6.161 square meters.
c) The volume of the pyramid is equal to 16.429 cubic meters.
What are the length of a side, the surface area and the volume of a pyramid?a) The picture shows a pyramid with a triangular base, the triangle has one obtuse angle and the length of the side AB can be found by the law of the sine:
6 / sin 110° = AB / sin 30°
AB = 6 × (sin 30° / sin 110°)
AB ≈ 3.193 meters
The length of the side AB is approximately 11.276 meters.
b) First, find the length of the side AC:
6 / sin 110° = AC / sin 40°
AC = 6 × sin 40° / sin 110°
AC ≈ 4.104 meters
Second, determine the area of the triangular base by Heron's formula:
s = 0.5 · (AC + BC + AB)
s = 0.5 · (4.104 m + 6 m + 3.193 m)
s = 6.649 m
A = √[s · (s - AC) · (s - BC) · (s - AB)]
A = √[6.649 · (6.649 - 4.104) · (6.649 - 6) · (6.649 - 3.193)]
A ≈ 6.161 square meters
The area of the base of the pyramid is approximately equal to 6.161 square meters.
c) The volume of the pyramid can be found by using the following expression:
V = (1 / 3) · A · h
Where:
A - Area of the pyramid base, in square meters.h - Height, in meters.If we know that A ≈ 6.161 square meters and h = 8 meters, then the volume of the pyramid is:
V = (1 / 3) · (6.161 m²) · (8 m)
V = 16.429 m³
The volume of the pyramid is equal to 16.429 cubic meters.
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You can buy 5 t-shirts at Baxters for the same price that you can buy 4 t-shirts at bixbys. If one t-shirt costs $11.80 at bixbys, how much does one t-shirt cost at baxters?
Answer:
4
shirts at Bixby's costing
$
11.50
would cost
XXX
4
×
$
11.50
=
$
46
If
5
shirts at Baxter's cost the same as
4
shirts at Bixby's,
5
shirts at Baxter's would cost
$
46
and
1
shirt at Baxter's would cost
$
46
5
=
$
9.20
f(x) = -3x² - 2x
how to find f (8)
Answer:
f(8) = -208
Step-by-step explanation:
Apply 8 into the equation
f(8) = -3(8)² - 2(8)
= -192 - 16
= -208
8 will be your x value since it's implied within the question itself.
Answer:
-208
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=-3x^2-2x[/tex]
To find f(8), substitute x = 8 into the function:
[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]
Therefore, f(8) = -208.
Are 12 17 and 14 19 determined ratio are proportional
No, 12 17 and 14 19 determined ratio are not proportional.
What are proportional ratios?If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.
We can observe that 17 and 19 are prime numbers,
So, 12 : 17 cannot be simplified further,
Neither 14 : 19 can be simplified.
⇒ 12 : 17 ≠ 14 : 19
∴ We can say that 12 17 and 14 19 determined ratio are not proportional.
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The sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price. What is the total amount paid for the refrigerator?
The amount paid for the refrigerator is $740.25.
How to calculate the price?From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.
The price of the refrigerator will be:
= $705 + (0.05 × $705)
= $705 + $35.25
= $740.25
Therefore, the amount paid for the refrigerator is $740.25
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Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
It is required to find the measurements that could be the dimensions of rectangle B.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given :
Length=6 cm
width=4cm
According to given question we have,
Divide the length and the width of the rectangle we get=
k=Length/width
k=6/4
k=1.5
This means that a scaled copy of rectangle A must have a value of 1.5
when the dimensions are divided.
Possible rectangles are:
A. 12cm by 8cm
Divide the length and the width of the rectangle we get,
k=12/8
k=1.5
B. 48cm by 32cm
Divide the length and the width of the rectangle we get,
k=48/32
k=1.5
Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
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Suppose g ( x ) = √ x − 3 / x − 11 . what is the domain of g?
The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.
What does a function's domain entail?Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How do you determine a function's domain?Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
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Which answer choice is equal to -2x2 - 21x - 54?
1. Which statement correctly describes the perpendicular bisector construction below?
Answer:
option c is correct....
Perform the indicated operation
7 1/8 ∙ 5 2/3
Find (-18) + (-25) + 13
Answer: -30
Step-by-step explanation:
Answer:
the answer would be -30!!!
Step-by-step explanation:
i took the quiz.
find the area of the figure. use 3.14 for pi
Answer:
38.13 m²
Step-by-step explanation:
area of triangle = 1/2 base × height
= 1/2 × 4 × 3
= 6 m²
Area of rectangle = length × width
= 6 × 3
= 18m²
Area of semi circle = 180/360 × π × radius²
= 180/360 × 3.14 × 3²
= 14.13 m²
Add all the areas together
6 + 18 + 14.13 = 38.13
