On solving the provided question, we can say that by permutation, 90 different 8-topping pizzas are possible
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.
here,
by permutation
[tex]^{10}P_8[/tex] = 10!/2/1 = 10 X 9 / 1 = 90 ways
90 different 8-topping pizzas are possible
To know more about permutation visit:
https://brainly.com/question/1216161
#SPJ1
Help ASAP!!! Geometry, “fill in the blanks”
Skew lines and parallel lines do not intersect
How to determine the skew lines?As a general rule, skew lines are lined that are not on the same plane; they are not parallel to each other and they do not intersect
Using the above definition as a guide, the skew lines in the figure are:
CG and BDAE and FHEG and DHThe difference between skew lines and parallel linesParallel lines and skew lines are different in the following ways:
Skew lines are on different planesParallel lines are on the same planeThe likeness between skew lines and parallel linesParallel lines and skew lines are alike in the following way:
Skew lines and parallel lines do not intersectRead more about Skew lines and parallel lines at
https://brainly.com/question/4442817
#SPJ1
Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b are:_____.
a. independent.
b. unilateral.
c. conditional.
d. mutually exclusive.
The correct option is (d) Mutually exclusive events.
Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b are mutually exclusive events.
Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin toss, which can result in either heads or tails but not both, provide a clear illustration.
A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.
Learn more about mutually exclusive events here
https://brainly.com/question/12961938
#SPJ4
In the past, schools in Los Angeles County have closed an average of three days each year for weather emergencies. What is the probability that schools in Los Angeles County will close for four days next year
The probability that the schools in Los Angeles will be closed for four days next year is 0.1680.
What is Poisson's distribution formula?In order to comprehend separate events that happen at a steady pace over the course of a specified amount of time, Poisson's distributions are frequently utilized.
Formula for Poisson's distribution:
f(x) = ((λ^x)/x!).(e^(-λ))
x = Event to be calculated for
λ = Expected number of occurrences
P(X = x) = ((λ^x)/x!).(e^(-λ))
Here λ = 3 and x = 4
P(X = 4) = (81 / 4!).(e^(-3))
P(X = 4) = (81 * e^(-3))/24
P(X = 4) = (81 * 0.049)/24
P(X = 4) = 0.1680
Hence, the probability that schools in Los Angeles will be closed for four days next year is 0.1680.
Learn more about probability on:
https://brainly.com/question/25870256
#SPJ4
2. If you use AB as the base to find the area of ABCD shown at the right, what should you use as the height?
The height that should be used is DE
Area of a parallelogramFrom the question, we are to determine what should be used as the height
The area of a parallelogram is given by the formula,
A = b × h
Where A is the area
b is the base
and h is the perpendicular height
In the given diagram, if AB is used as the base, then the height that would be used will be DE. This is because DE is perpendicular to AB
Hence, the height that should be used is DE
Learn more on Area of a parallelogram here: https://brainly.com/question/10744696
#SPJ1
In simplified form, we can write $\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$ as $a\sqrt[b]{c}$, where $a$, $b$, and $c$ are all positive integers. what is $a+b+c$?
The sum of a+b+c = 307.
According to the statement
[tex]$\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$[/tex] is written as [tex]$a\sqrt[b]{c}$[/tex]
now we find the sum of these
in these terms a=54 and b=3 and c=250
Then
a+b+c = 54+3+250
a+b+c = 307
So, The sum of a+b+c = 307.
Learn more about ADDITION PROPERTY here https://brainly.com/question/14804395
#SPJ4
A machine in a candy company creates 9,328 pieces of candy each hour. if a box holds 98 pieces of candy, how many boxes can be filled in one hour?
Answer:
Step-by-step explanation:
9,328 and you would divide that by 98 and the answer would be 95.18367347 boxes
Give the center and radius of a circle with the equation: (x+1)²+(y-2)²=100
A-The center is (-1. 2) and the radius is 10
B-The center is (1, -2) and the radius is 50
C- The center is (1, -2) and the radius is 10
D- The center is (-1, 2) and the radius is 50
OPTION A is the correct answer
From the top of a 16 m tall building, the angle of depression to a car on the road is 35°. To the nearest metre, how far is the car from the base of the building?
The distance of the car from the tall building to the nearest meter is 23m.
How far is the car from the base of the building?Given the data in the question;
Angle of depression θ = 35°Height of building = 16mDistance of car from building = xWe use trigonometric ratio since the scenario forms a right angle triangle.
tanθ = opposite / adjacent
tanθ = opposite / adjacent
tan( 35° ) = 16m / x
x = 16m / tan( 35° )
x = 16m / 0.7002
x = 23m
Therefore, the distance of the car from the tall building to the nearest meter is 23m.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
Which is a factor of f(x) = 60x4 86x3 – 46x2 – 43x 8? use the rational root theorem to help you find your answer.
The correct option is (2) [tex]\frac{8}{5}[/tex] and (3) [tex]\frac{1}{6}[/tex].
The factor of equation f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].
Rational Root Theorem:The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.
For the given polynomial, the roots are given as;
[tex]$$P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{2} x^{2}+a_{1} x+a_{0}$$\\ \\$\pm \frac{\text { factors of } a_{0}}{\text { factors of } a_{n}}$.[/tex]
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.
Out of the given options, only [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex] can be written in the form:
[tex]\begin{aligned}&\frac{8}{5}=\frac{\text { a factor of } 8}{\text { a factor of } 60} \\&\frac{1}{6}=\frac{\text { a factor of } 8}{\text { a factor of } 60}\end{aligned}[/tex]
Therefore, the rational roots of polynomial f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].
To know more about Rational Root Theorem, here
https://brainly.com/question/10937559
#SPJ4
The complete question is-
Which is a factor of f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8? use the rational root theorem to help you find your answer.
x – 6 => 65x – 8 => [tex]\frac{8}{5}[/tex] 6x – 1 => [tex]\frac{1}{6}[/tex]8x + 5 => [tex]\frac{-5}{8}[/tex]identify and shade the following regions on separate venn diagram
The attached figures represent the shaded areas of the given set operations
How to identify the shaded regions?To shade the given regions of the sets, we need to highlight the following set operations
Intersection: This represents the elements that are common between two or more setsUnion: This represents the totality of all elements in two or more sets (without repetition of elements)Complement: This represents the elements that are not present in the given setUsing the above definition of set operations and the Venn diagram, we have the following values:
X U Y' = Y'X n Y' = ∅ i.e an empty set(X U Y)' = X' n Y'(X n Y)' = U i.e. the universal setX' U Y' = X' n Y'X' n Y' = X' U Y'(X' U Y)' = X(X U Y')' = YSee attachment for the shaded areas of the above set operations
Read more about sets and Venn diagram at:
https://brainly.com/question/4910584
#SPJ1
I really need help for my hw please
Answer:
5.46
111
86
367.2
49
467
use labels
Step-by-step explanation:
1. [tex]\frac{39}{2} times . 0.28[/tex]
[tex]\frac{39}{2} times \frac{28}{100} =\frac{1092}{200} \\[/tex]
[tex]\frac{1092}{200} = \frac{273}{50}[/tex]
Answer 273/50 or 5.46 inches
2. [tex]\frac{97}{87} times \frac{100}{1} =\frac{9700}{87}[/tex]
Answer 9700/87= 111%ft
3. [tex]\frac{146}{1} divided \frac{170}{1}[/tex]
[tex]\frac{146}{1}times\frac{1}{170} =\frac{146}{170}[/tex]
Answer=146/170=73/85=
86%tons
4. [tex]\frac{136}{1} times\frac{270}{100} =\frac{36720}{100}[/tex]
Answer=367.2%ft
5 .[tex]\frac{60}{123}[/tex]=49%inches
6.[tex]\frac{56}{1} times\frac{100}{12} =[/tex]467%inches
Kawan buys some protein bars at $0.90 each and bottled water at $0.70 each for a group hike. He buys twice as many bottles of water as protein bars. If he spends $46 in total, how many bottles of water and protein bars does he buy? Let x= the number of protein bars
Answer:
he buts 20 protein bars and 40 water bottles
Step-by-step explanation:
so first u set up an equation like this
46=.90x+.70(2x)
next you multipy
46=.90x+1.4x
Then add
46=2.3x
then divide by 2.3 to solve for x
x=20 so u have 20 protein bars
and 20 times 2 to find the amount of water bottles
Answer:
20 Protein bars and 40 waters.
Step-by-step explanation:
Let x = protein bars and y = waters
y = 2x .9x + .7 y = 46
Looking at the second equation, I would rather not work with decimals, so I will multiple the whole equation through by ten. That now gives m
9x + 7y = 460 Substitute in 2x for y (from my first equation above)
9x + 7(2x) = 460
9x +14x = 460 Combine 9x and 14x
23x = 460 Divide both sides by 23
x = 20 This is the number of protein bars. To find y plug 20 into the first equation above.
y = 2x
y =20(2)
y = 40
Help please!!! Due in 10 mins
Answer:
2.0
Step-by-step explanation:
(?) James is following this recipe to make flapjacks.
James uses 650 g of margarine.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
50 g sugar
100 ml syrup
125 g oats
130 g margarine
65 g sultanas
Can someone help me out with these two problems having trouble please !!
Answer:
1.
x=-10
x=-6
2.
x=10
x=-3
Step-by-step explanation:
to find the zeros of a function you need to set it equal to zero:
x^2+16x+60=0
then you factor
(x+10)(x+6)=0
then you have to finish factoring/simplifying
x+10=0
-10
x=-10
x+6=0
-6
x=-6
and the same thing for number 2
x^2-7x-30=0
(x-10)(x-3)=0
x=10, x=3
Answer:
1.) x = -10, x = - 6
2.) x = 10, x = -3
Step-by-step explanation:
1.) factorize and set the equation to zero by multiplying a and c and finding factors of it that will result in b once added/subtracted
[tex]x^2+16x+60\\(x+10)(x+6)\\(x+10)(x+6)=0\\x=-10, x=-6[/tex]
2.) do the same for number 2:
[tex]x^2-7x-30\\(x-10)(x+3)\\(x-10)(x+3)=0\\x = 10, x = -3[/tex]
i hope this helped!
pls help i’ll give brainliest
Answer: y=-1/5x+ 8/5 (Third one down)
Write an expression, of the type A log(x B), for the transformed logarithmic function shown below:
The equation of the logarithmic function is y = log(x - 1)
How to write the equation of the transformed function?The points are given as:
(0,3) and (2,0)
The equation is represented as:
y = A log(x + B)
Substitute (2,0) in y = A log(x + B)
y = A log(x + B)
This means that:
0 = A log(2 + B)
This means that:
A = 0 or log(2 + B) = 0
Take the antilog of both sides of log(2 + B) = 0
2 + B = 1
Solve for B in 2 + B = 1
B = -1
Substitute B = -1 in y = A log(x + B)
y = A log(x - 1)
Substitute (0,3) in y = A log(x - 1)
3 = A log(0 - 1)
So, we have:
3 = A log(-1)
The above equation is undefined.
Hence, the equation of the logarithmic function is y = log(x - 1)
Read more about logarithmic functions at:
https://brainly.com/question/13473114
#SPJ1
Complete question
Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:
(0,3) and (2,0)
write the slope-intercept form of the equation of each line
1. x-3y = 6
2. 4x-y = 1
3. 6x+5y = -15
4. 13x- 11y =-12
Answer:
y = [tex]\frac{1}{3}[/tex]x - 2y = 4x - 1y = -[tex]\frac{6}{5}[/tex]x - 3y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]Step-by-step explanation:
The slope-intercept form is y = mx + b, where m represents the slope and b represents the intercept.
x - 3y = 6
3y = x - 6
y = [tex]\frac{1}{3}[/tex]x - 2
4x - y = 1
y = 4x - 1
6x + 5y = -15
5y = -6x - 15
y = -[tex]\frac{6}{5}[/tex]x - 3
13x - 11y = -12
11y = 13x + 12
y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]
please help me solve this
Answer:
1.5, -1.5
Step-by-step explanation:
Using the quadratic formula, you should have a plus, and minus solution. These should be your answers.
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.
At approximately what angle does the wire meet the ground?
33.6°
39.8°
50.2°
56.4°
Using relations in a right triangle, it is found that the tree meets the wire at an angle of 56.4º.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, we have that:
The opposite side to the angle is of 10 feet.The hypotenuse is of 12 feet.Hence:
[tex]\sin{\alpha} = \frac{10}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{10}{12}\right)}[/tex]
[tex]\alpha = 56.4^\circ[/tex].
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
#SPJ1
If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
The researchers could utilize a probability sample.
Meaning of a Probability Sample
Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.
Probability Sample as the Representative of Population Sample
Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.
Learn more about probability sample here:
https://brainly.com/question/28016369
#SPJ4
given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
x = 21/5
Step-by-step explanation:
___________________________Given →5x:9 = 7:3
So,→ 5x/9 = 7/3
→ x = (7 × 9)/(3 × 5)
→ x = 21/5
___________________________Hope it helps you!!Jessica and her best friend found some money under the couch. they split the money evenly, each getting $16.32. how much money did they find?
Based on the fact that Jessica and her best friend split the money and were able to get $16.32, the total amount that they found was $32.64
How much did Jessica and her friend find?The fact that they split the money evenly means that they split it in half which each person getting the same amount.
This means that the total amount they found was twice the amount that Jessica and her best friend got.
The total amount found is therefore:
= Jessica's share + Best friend's share
= 16.32 + 16.32
= $32.64
Find out more on money addition problems at https://brainly.com/question/20460989.
#SPJ1
help help help help help help pleaseeeeeee
the maximum height is 180ft.
How to find the maximum height of the rocket?The height of the equation is modeled by:
[tex]y = 60t - 5t^2[/tex]
Notice that this is a quadratic equation with a negative leading coefficient, which means that the maximum is at the vertex, then the maximum is at:
[tex]t = -60/(2*-5) = 6[/tex]
To get the maximum height, we need to evaluate the function in t = 6, we will get:
[tex]y = 60*6 - 5*6^2 = 180[/tex]
This means that the maximum height is 180ft.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
The Smith family bought carpet for their basement. It originally cost $1,600. The company offered and installment plan for 12 monthly payments of $150. How much was the carpet?
Answer:
$1,800
Step-by-step explanation:
If the Smiths agree to the installment plan and pay $150 every month for 12 months, it will add up to $1,800 at the end of the year.
Which is an equivalent form of the expression 1800(1.2)^-t
Answer:
1800(5/6)^t
Step-by-step explanation:
I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.
Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?
The amount invested in the account that has a rate of 14% is $1767
The amount invested in the account that has a rate of 6% is $1425.
What are the linear equations that represent the question0.06a + 0.14b = 342 equation 1
b - a = $950 equation 2
Where:
a = amount invested in the account that has a rate of 6%
b = = amount invested in the account that has a rate of 14%
How much was invested in each account?Multiply equation 2 by 0.06
0.06b - 0.06a = 57 equation 3
Subtract equation 3 from equation 2
285 = 0.2a
a = 285 / 0.2
a = 1425
Substitute for a in equation 2
b - 1425 = 342
b = 1425 + 342
b = $1767
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
3. There are 50 girls and 50 boys at a party, all of
whom have written down their names on sheets
of paper for a chance to win a raffle prize. Of all
the girls and boys, 10 girls have braces and 15
boys have braces. What is the probability that
the child randomly chosen to win the raffle will
be a boy without braces?
What is the slope?
Please help!! Thankss
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0,2) ← 2 points on the line
m = [tex]\frac{2-0}{0-(-1)}[/tex] = [tex]\frac{2}{0+1}[/tex] = [tex]\frac{2}{1}[/tex] = 2
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to make pairs of equivalent expressions.
The equivalent expressions indicated are;
1) 1/a^6b^4
2) a^6/b^6
3) a^6/b^5
4) b^6/a^6
5) a^5b^3
What is the result of the equivalent expressions?
We have to note that when we talk about the equivalent expressions, we mean the expressions that we have to get from each other when we carry out a little computational work on the original expression.
Thus, the equivalent expression has shown that the expression that is in the bracket is the same as the original expression by the use of the laws of exponents.
Learn more about laws of exponents:https://brainly.com/question/28966438
#SPJ1