A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many different ways could the committee be made?
Answer:
10080 ways
Step-by-step explanation:
First we find the amount of combinations of teachers who can be chosen, which is denoted by 10 choose 3 (10 nCr 3), shown below:
10! / (3! * 7!) --> 120
Next to find the amount of combinations of students, you evaluate 9 choose 3(9 nCr 3), shown below:
9! / (3! * 6!) --> 84
To find the total number of combinations, you multiply the teachers combinations by the students combinations:
120 * 84 = 10080
what is 0.10x10= ?
(i know how to do this but im very stuck on this one)
Answer:
Its 1 because you are moving the digits 1 place to the right
Step-by-step explanation:
Wendy Wilson planned to bake a triple recipe of chocolate chip cookies for her office party. If the recipe calls for 2 3/4 cups of flour, how many cups will she need? Need answer now!
Answer: 8 1/4 cups
Step-by-step explanation: All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.
How do you write 0.00000000090 in scientific notation?
Answer:
Step-by-step explanation:
9.0 × 10-10 I think.....
A shopper buys cat food in bags of 33 lbs. Her cat eats \frac{3}{4}
4
3
lb each week. How many weeks does one bag last?
Total of 44 weeks does one bag last.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator
Total amount of cat food = 33 lbs in one bag
Amount of food cat eats each week = 3/4 lb = 0.75 lb
Number of weeks one bag of cat food last = 33 / 0.75
= 44
Hence one bag of cat food will last for 44 weeks.
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Please someone help me, if you don't know the answer don't comment at all.
Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate it 180 degrees about the origin, and then translate it up 7 units.
Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x-axis, then reflect it across the y-axis, and then translate it up 6 units and left 1 unit.
Part E
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?
Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape?
Part K
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answer:
Part E
When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.
(5,4) = (5,-4)
Part I
You would add 6 to the y coordinate and subtract 1 from the x coordinate
Part K
Chanels Sequence
Step-by-step explanation:
HELP ASAP I will give 20 points
write a real-life word problem that involves one-variable equation. Discuss how you would go about solving this problem.
help pls
Answer:
A waiter at a restaurant earns 10 dollars per hour. How much money is earned in 4 hours?
Equation: m = 10h
m = money earned
h = hours worked
Plug in 4 for (h)
m = 10(4)
m = 40 dollars
The waiter earns 40 dollars in 4 hours.
Step-by-step explanation:
The length of an arc of a circle is one-eighth the circumference of the circle.Find the angle subtended by this arc at the centre if the radius of the circle is 14cm
Given:
The radius of the circle is 14 cm.
The length of an arc of a circle is one-eighth the circumference of the circle.
To find:
The angle subtended by this arc at the center.
Solution:
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex] ...(i)
Where, r is the radius and [tex]\theta [/tex] is the central angle.
The length of an arc of a circle is one-eighth the circumference of the circle.
[tex]s=\dfrac{1}{8}(2\pi r)[/tex] ...(ii)
Where, [tex]2\pi r[/tex] is the circumference of the circle.
Using (i) and (ii), we get
[tex]2\pi r\times \dfrac{\theta }{360^\circ}=\dfrac{1}{8}(2\pi r)[/tex]
[tex]\dfrac{\theta }{360^\circ}=\dfrac{1}{8}[/tex]
[tex]\theta =\dfrac{360^\circ}{8}[/tex]
[tex]\theta =45^\circ[/tex]
Therefore, the central angle is 45 degrees.
If your annual salary is $37,350 and your housing budget is 24%, How much is your yearly housing cost?
Answer:
$8964Step-by-step explanation:
Annual salary is $37350
Housing budget is 24%
Housing cost:
$37350*24/100 = $8964Answer:
$8,964
Step-by-step explanation:
Given:
Annual salary = $37,350Housing budget = 24%To find the yearly housing cost, calculate 24% of the annual salary:
[tex]\begin{aligned}\implies \sf Yearly\:housing\:cost & = \sf 24\% \:of\:37350 \\\\& = \sf \dfrac{24}{100} \cdot 37350\\\\& = \sf \dfrac{24 \cdot 37350}{100}\\\\& = \sf \dfrac{896400}{100}\\\\& = \sf 8964\end{aligned}[/tex]
Therefore, the yearly housing cost is $8,964.
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how do i get the answer on pc"?
Answer:
I. D. K. what is the question
Step-by-step explanation:
Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases.
T : P_2 → P_2 defined by
T(p(x)) = p(x) + p'(x)
If T is invertible, use the theorem below to find the inverse of T (attached).
Answer:
it is invertible
Step-by-step explanation:
Solve 2 < n +1| ≤ 7. Explain your reasoning and graph
the solution set.
Let n = the number
The solution set is {x | x > 10}. 2. 5 ≥ 7 + y.
What is the value of N?It's used to refer to the collection of all natural numbers. Positive whole numbers that are not zero make up the natural numbers. N = 1 , 2 , 3 , 4 . By multiplying the integers from 1 to n, the factorial of n is calculated and denoted by the symbol n!. n! = n (n - 1)! is the formula for n factorial. Example: What is9! if8, which is40,320, is?The sample size, or n, is the number of data points. described in Chapter 2 here. in a probability experiment using a binomial model, the total number of trials.Instead of the product n n, which is typically pronounced"n squared," the equivalent exponentiation n2 is used to represent a number's square.To learn more about exponentiation refer to:
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Samantha walks a total of 2/3 mile to get to and from school each day . Find the total number of miles that Samantha walked to and from school over 5 days
Answer:
3 1/3 miles
Step-by-step explanation:
If Samantha walks 2/3 miles everyday and they are asking for 5 days
2/3miles · 5days = 3 1/3 or 10/3 miles
Can anyone help me with this question please thank you
Giving brainliest correct answer please
Answer:
1/216
Step-by-step explanation:
These are independent events because of probability of first event is not affecting the probability of another event .
probability of getting 4 on first try is 1 / 6
probability of getting six on second try is also 1 / 6 and then probability of getting more 6 on next try is again 1/6
so combined probability is 1/6 ×1/6 ×1/6= 1/216
State whether the equation represents exponential growth, exponential decay, or neither.
y = 11.1.07%
Answer:
Neither
Step-by-step explanation:
This questions only states
[tex]y = 11.1.07\%[/tex]
This is not a fucntion because there is no variable.
This is not a valid statement, because 11.1.07% is non-sensical.
What are 3 prime numbers that add up to 55?
Answer and Step-by-step explanation:
Prime numbers are numbered that can't be divided by whole numbers other than itself and 1.
7, 11, and 37 are prime numbers that add up to 55.
7 + 11 + 37 = 55
7 + 48 = 55
55 = 55
#teamtrees #PAW (Plant And Water)
Answer:
37+17+1
Step-by-step explanation:
I think
A prime number always has 2 factors:-)
1 and itself are its factors
I hope it helps
Mississipi has the lowest income at 40.6 thousand dollars.Mississippi also has about 207 bacherlors degree per 1000 people what does the linear model estimate for that number of bachelors degrees per 1000 per person for Mississippi based on the median income? How good is this estimate?
Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.
Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.
Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.
Step-by-step explanation:
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters
C. 360 Square meters
........
The total area is 360 square meter.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given:
We get Three Rectangle
First Rectangle:
length = 12 m
width = 16 m
So, Area = 12 x 16 = 192 square meter.
Second Rectangle:
length = 8 m
width = 12 m
So, Area = 8 x 12 = 96 square meter.
Third Rectangle:
length = 12 m
width = 6 m
So, Area = 12 x 6 = 72 square meter.
Thus, the total area = 192 + 96+ 72 = 360 square meter.
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Please help!! Thank you!!
find the value of x in the following figure
Answer:
x = 172
Step-by-step explanation:
A circle is 360 degrees
The angles will add to 360 degrees
x/2 + 59 + x/4 + x = 360
Subtract 59 from each side
x/2 + x/4 +x +59-59 = 360 -59
x/2+x/4+x = 301
Combine like terms
2x/4 +x/4 +4x/4 = 301
7/4x = 301
Multiply each side by 4/7 to isolate x
4/7 * 7/4 x = 301 *4/7
x =172
Solve for x.
x = [?]
4x - 16
2x + 16,
,
PLEASE HELP FIND THE SOLUTION IN SLOPE INTERCEPT FORM
Answer: y= -3/4x+8
Step-by-step explanation:
Victoria invests $200 into an account with a 2.6% interest rate that is compounded semiannually.
How much money will she have in this account if she keeps it for 10 years?
Round your answer to the nearest dollar,
Answer:
A = $258.95
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.6/100
r = 0.026 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 200.00(1 + 0.026/2)(2)(10)
A = 200.00(1 + 0.013)(20)
A = $258.95
Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
What does rate of change mean?
An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.
Surafce area of a prism is equal to
2(Area of base) + (perimeter of base)(height)
2b^2+4bh
[tex]S=2b^2+4bh[/tex]
[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]
It is given that db/dt= -7 and dh/dt -=10.
At a particular instant b= 4km, h=9 km.
Now we will substitute the values in this formula:
[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
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The equation x + c = k has a solution of x = 2. Both cand k are rational numbers.
Select all the statements that must be true in all cases.
cis 2 greater than k.
cand k must be whole numbers.
The solution x = 2 is the only solution.
If c is a whole number, k is also a whole number.
I need help ASAP PLEASE
Answer:
The solution x = 2 is the only solution
If c is a whole number, k is also a whole number.
Find the volume of the pyramid. 5 ft 2 ft 2 ft
Answer:
v=6.6667
Step-by-step explanation:
[tex]V=L*W*H/3[/tex]
[tex]V=20/3[/tex]
[tex]V=6.6667[/tex]
Hope this helps :)
One side of a triangle is 7 feet longer than the second side. The third side is 2 feet longer than the second side. The perimeter of a triangle is 42 feet. Find the length of each side.
Answer: second 11
first 18
Second 13
Step-by-step explanation:
Evaluate the expression 8 + 18 ÷ 3 − 7. (4 points) Group of answer choices 5 7 9 10
Step-by-step explanation:
26÷3-7
26-7÷3
21÷3
7 Answer
hope it helps
Answer:
the answer is 7
Step-by-step explanation:
Factorize the expression, 10ab (a − 2b)³ +24ab² (3a − 6b)²
Answer:
226a³b² - 824ab³ + 984b⁴
Step-by-step explanation:
We can factorize the given expression by expanding the two binomials and then combining like terms.
First, expand the two binomials:
10ab (a − 2b)³ +24ab² (3a − 6b)² = 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)
Then, combine like terms:
= 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= 226a³b² - 824ab³ + 984b⁴