Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings
Since the question says 'choose', it is a combination question and order is not important.
What is combination?This is the number of ways in which x objects can be selected from n objects.
It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]
Number of different types of pizzasNow given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,
n = 15 and r = 4So, ¹⁵C₄ = 15!/4!(15 - 4)!
= 15!/4!11!
= 15 × 14 × 13 × 12 × 11!/4!11!
= 15 × 14 × 13 × 12/24
= 15 × 7 × 13
= 1365 ways
So, we can order 1365 different types of pizzas with 4 toppings
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how do I do this??????? 2/3x-(1/2x+1)
btw need it simplified
Answer:
1/6x -1
Step-by-step explanation:
"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.
__
[tex]\dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}[/tex]
Which statement could be used to prove AB || CE?
Answer:
B
Step-by-step explanation:
Let's take a look at each statement.
A: ∠1 ≅ ∠8
Angle 1 is congruent to angle 8.
If lines are parallel then angle 1 and angle 8 would be same side (consecutive) exterior angles which are supplementary and not congruent.
Therefore this statement would prove that the lines are not parallel.
B: ∠1 ≅ ∠7
Angle 1 is congruent to angle 7.
If lines are parallel then angle 1 and angle 7 would be alternate exterior angles which are congruent.
This statement proves that the lines are parallel. We have angle 1 that is at line AB and angle 7 which is at line CD. It's important that one angle is at one line and the second angle at the other line, otherwise we cannot prove that the lines are parallel.
C: ∠6 ≅ ∠8
Angle 6 is congruent to angle 8.
Angles 6 and 8 are vertical angles and they are congruent.
This statement is correct but it doesn't tell us anything about the relationship of angles at the other line, therefore it proves nothing.
D: ∠1 and ∠2 are supplementary.
Angles 1 and 2 create a linear pair, therefore they are supplementary.
This statement is also correct but again it tells us nothing about the angles at the other line so it again proves nothing.
dhswer in the
4. Leela delivers
newspapers every
Saturday. She earns $3
for every 10 deliveries.
She earns an extra
$7.00 after every 50
deliveries.
How much will Leela
earn if she delivers to
100 homes this
Saturday?
(This is a toughie! Read the
information carefully. Use the back
to show your work)
If we invest $5,000.00 in an investment account paying 1% interest compounded annual, how much
will the account be worth in 14 years?
A(t) = P(1+)".
n
The account in 14 years will be worth $
Answer:
5747.37
Step-by-step explanation:
5 000 ( 1 + .01) ^14
= 5747.37
What’s the missing angle
(The bottom number is 46 and the top is 78)
During her holiday, Hannah rents a bike. She pays a fixed cost of $8 and then a cost of $4.50 per day.
Hannah pays with a $50 note and receives $10.50 change.
Calculate for how many days Hannah rents the bike.
fixed cost= $8
cost= $4.50
payed= $50
recieved= $10.50
to find:how many days Hannah rented the bike.
solution:let the unknown be ( x )
[tex]x = 50 - (10.50 + 8)[/tex]
[tex]x = 50 - 18.50[/tex]
[tex]x = 13.50[/tex]
[tex]x = \frac{13.50}{4.50} [/tex]
[tex]x = 7[/tex]
hence, Hannah rented the bike for 7 days.
A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many
feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round
your answers.
Speed:
0
Х
5
?
Distance fallen in 10 seconds:
50m ≅164 ft (3s.f.)
50m/s≅164 ft/s
distance after 20s:
d=164 ft/s ⋅20s
=3280ft
Hope This Helps!
please I need help I need it under 20min
Answer:
See below ~
Step-by-step explanation:
Solving :
(a) Coordinates of P and Q
⇒ Equate the lines' equations
⇒ 2x² - 6x - 8 = 2x - 14
⇒ 2x² - 8x + 6 = 0
⇒ x² - 4x + 3 = 0
⇒ (x - 3)(x - 1) = 0
⇒ x = 3 and x = 1
Substitute each x-value in the any of the 2 equations :
⇒ y = 2(3) - 14
⇒ y = 6 - 14
⇒ y = -8
⇒ P = (3, -8)
⇒ y = 2(1) - 14
⇒ y = 2 - 14
⇒ y = -12
⇒ Q = (1, -12)
(b)
(i) 2x² - 6x - 8 = 0
⇒ x² - 3x - 4 = 0
⇒ (x - 4)(x + 1) = 0
⇒ x = 4 and x = -1
(ii) 2x² - 6x = -4
⇒ 2x² - 6x + 4 = 0
⇒ x² - 3x + 2 = 0
⇒ (x - 1)(x - 2) = 0
⇒ x = 1 and x = 2
(c) Line of symmetry
Finding the vertex :
⇒ Vertex = (h, k)
⇒ h = -b/2a
⇒ h = -(-6)/2(2)
⇒ h = 6/4
⇒ h = 1.5
⇒ The axis of symmetry's equation is : x = 1.5
(d)
⇒ As the mentioned function is a quadratic function, irrational values such as √2, √3, √6, etc. cannot be taken into consideration
How do you view your account balance online?
Upload the information from a spreadsheet to your bank's Web site.
Visit the Web site where all online banking is done, w, log in to your account, and add and subtract the transactions that appear.
Visit the bank's Web site, log in to your account, and click on the account summary link.
Visit the bank's Web site and click on the bill pay link.
Answer:
you first can check online, call your bank, visit an ATM, set up alerts, or ask a teller.
QUESTION ON PIC THANK YOU
Answer:
10/10
Step-by-step explanation:
The pressure of a gas varies inversely with the volume (P = k/v). If the pressure is 150 kPa, and the volume 4 ML, what would the pressure be if the volume of the gas is 3 ML? If needed, round your answer to 2 decimal places.
Answer:
This is an Application of Boyle's Law.
Step-by-step explanation:
The relationship between the Pressure and Volume have been made available and is given as ;
P =k/v
Simply making k(constant) subject...
K =PV (With this, we can conclude that :
P₁V₁ = P₂V₂
150 x 4 = P₂ x 3
P₂ = 150 x 4/(3)
P =200kPa
Now, This is all math.
But what really happened?
Pay attention.
The relationship between Pressure and Volume according to Robert Boyle in his Law, as stated in the question is P = k/v
This is an inverse relationship.
simply interpreted, It reads " When pressure increases by a certain factor, Volume decreases by that factor". This is the concept behind inverse relationships.
So from the question, Volume decreased from 4ML to 3L.
Initial Pressure was 150kPa.
According to Boyle, Pressure has to increase by 4/3
Therefore, New pressure is undoubtedly 150 x 4/3 = 200kPa
Have a splendid day.
are imaginary numbers real
Answer: hii
real :)
Step-by-step explanation:
"While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are "real" in the sense that they exist and are used in math. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations."
Hopefully this helps you
- Matthew
Which 2 shapes on the quadrilateral hierarchy are directly under the trapezoid?
trapezoid and square
rectangle and kite
parallelogram and isosceles trapezoid
square and rectangle
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are kite, square, parallelogram and so on.
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
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How do you divide 1748 by 76
If n = 5x - 4, then what is the value of x when n = 6?
⚫️0.4
⚫️5.2
⚫️-3
⚫️2
how are the values of -4^3 and 4^-3 alike and how do they differ
Answer:
they are really different
Which of the expressions below is the product of (x+2y) and (2x−3y)?
Answer:
(x +2y ) ( 2x-3y)
= 2x² + 4xy -3xy -6y²
= 2x² +xy -6y²
Step-by-step explanation:
2x^2 +xy-6y is the answer
Scott is a software salesman. His monthly salary is $2400 plus an additional $70 for every copy of Math is Fun he sells.
Let S represent his total salary this month (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating S to N, and then graph your equation using the axes below.
2,400 + 70N = S
hope this helps ya mate
PLS HELP I NEED Q5 I NEED TO TURN IT IN
Drag the tiles to the correct boxes to complete the pairs not all tiles will be used.
Answer:
I will answer them from top to bottom
1. 2A
2. 2A-B
3. 2A+3A
4. 2(A-B)
Step-by-step explanation:
You don't need an explanation. I am just putting this here so my answer does not get taken down.
please answer quick!! giving 30 points if u answer quick!!!
Answer:
Your answer is A and B
Step-by-step explanation:
A. Has 8 by 3 by 2 = 48
B. 6 by 4 by 2 = 48
C. 4 by 4 by 4 = 64
D. 11 by 2 by 2 = 44
Fill in each of the missing parts of the hierarchy of the quadrilaterals. Include the properties of each of the figures.
Answer:
I just edited the file you linked.
Answer:
HERE IS THE REAL ANSWER!!! >
Step-by-step explanation:
I added the file so yeah also its correct!
can you please help I pay you £50
quaddale dingle said hey, whats up
You deposit $150 in an account. The account earns $27 simple interest in 4 years. What is the annual interest rate
THIS ONE I CANT FIGURE OUT SORRY :C
Use the graph of the function to find its domain and range. Write the domain and range in interval notation
Answers:
Domain: [tex](-\infty, 5)[/tex]
Range: [tex][-3, \infty)[/tex]
Both are in interval notation. There's a square bracket next to the -3, and everything else is a curved parenthesis.
===========================================================
Explanation:
The domain is the set of allowed x input values of a function. We have a hole at x = 5, so this value is not allowed in the domain. But we can use anything smaller than this. The domain as an inequality is [tex]x < 5[/tex] which is the same as writing [tex]-\infty < x < 5[/tex] and that directly translates to the interval notation of [tex](-\infty, 5)[/tex]
The curved parenthesis say "exclude this endpoint". The domain is anything between negative infinity to 5, excluding both endpoints.
----------------------
The range is the set of possible y outputs of a function.
The lowest the function goes is at y = -3. The arrow indicates it goes up forever, meaning that the range as an inequality is [tex]y \ge -3[/tex] which is the same as [tex]-3 \le y[/tex] and the same as [tex]-3 \le y < \infty[/tex]
Then that directly turns into the interval notation of [tex][-3, \infty)[/tex]
We have a square bracket at -3 to include this endpoint. We can't ever reach infinity, so we of course can't include this endpoint. Always use parenthesis for either infinity.
What is in simplest form?
please answer, it's really important
Answer:
Step-by-step explanation:
x² - 2x + 5 = 0
x² - 2x = -5
x² - 2x + 1 = -5 + 1
(x - 1)² = -4
(x - 1) = ±2i
What is the slope of the line that passes through the points (0, -10)and (−4,−11)? Write your answer in simplest form
Given f(x) = x^2 - 4x + 6 and g(x) = 2x^2 + 2x - 5, what is the equation for (f + g)(x)?
[tex]\\ \rm\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \rm\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \rm\Rrightarrow x^2-4x+6+2x^2+2x-5[/tex]
[tex]\\ \rm\Rrightarrow 3x^2-2x+1[/tex]
Done!
Answer:
[tex](f+g)(x)=3x^2-2x+1[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\textsf{Given functions}: \quad f(x) &=x^2-4x+6\\g(x) &=2x^2+2x-5\\\end{aligned}[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\& =(x^2-4x+6)+(2x^2+2x-5)\\& =x^2-4x+6+2x^2+2x-5\\& =x^2+2x^2-4x+2x+6-5\\& =3x^2-2x+1\end{aligned}[/tex]
Help me please you’ll earn points
The attached diagram represents the required line plot
How to plot the line plot?From the table, we have the following frequency table:
Minutes spent Frequency
25 1
25 1/2 2
26 1
27 1/2 1
27 3/4 1
28 1/4 1
28 1/2 2
29 1
Total 10
Using the above frequency table, we can now plot the line plot
See attachment for the line plot
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