Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
3 fifths equals how many 20
Answer:
12
Step-by-step explanation:
20/5 = 4
4 x 3= 12
3/5 of 20 is 12.
This is because 3/5*20/1=60/5 which reduces to 12.
Find the arc length of the semicircle. 8
Answer:
π×8² =
201.0619298297
arc length formular = π ×r²
Jordan found cloth for $7.50 per yard. How much would his total cost be if he needed 12 yards of cloth?
4xr=14 pls i need help.
Answer: x =7/2 or r = 7/2 so this means there the same.
Step-by-step explanation:
_________
[tex] \: [/tex]
4 × r = 14
4r = 14
r = 14/4
r = 7/2
r = 3½ or 3,5
To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?
Answer:
The answer is below
Step-by-step explanation:
a) The baseball player leaps into the air with an initial velocity of 14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.
The height (y) is given by the formula:
y(t) = ut - (1/2)gt² + initial heigth
u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:
y(t) = 14t - (1/2) * 32 *t² + 0
y(t) = 14t - 16t²
b) when the player is on the ground, the height = 0. hence:
0 = 14t - 16t²
16t² - 14t = 0
t(16t - 14) = 0
t = 0 or 16t - 14 = 0
t = 0 or 16t = 14
t =0 or t = 0.875
Hence t = 0.875 seconds
c) The domain is the set of possible values for the time. Hence:
Domain = (0, 0.875] = 0 < t ≤ 0.875
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
A=
B=
Blank 1:
Blank2:
Answer:
a=3,b=1
Step-by-step explanation:
In a parallelogram opposite sides are equal/congruent.
Using this, we know that 3a-4=a+2 and b+1=2b
1st equation:
3a-4=a+2
-a -a
2a-4=2
+4 +4
2a=6
a=3
2nd equation:
b+1=2b
-b -b
b=1
a=3, b=1
What is the pow of a
4.5 x 10-3 M OH solution?
Answer:
p O H = 2.35
Step-by-step explanation:
Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?
A) −$12
B) −$11
C) $0
D) $12
Answer:
Step-by-step explanation:
A, -12
if she had an x amount on her card,
after the buys the songs, she will have x-12 left
The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?
Answer:73.72
Step-by-step explanation:
fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
Answer:
2,500 grams
Step-by-step explanation:
2.5 kilograms = 2,500
Therefore, the laptop is 2,500 kilograms.
hope i helped
The number -√44 is between which 2 integers.
Answer:
- 5 and - 7
Step-by-step explanation:
-√44 = -6.63
what number has a value between -5 and -4
Answer:
-4.5
Step-by-step explanation:
a pack of 10 pair of socks cost 16.80. what is the cost for one pair of socks
Answer: $1.68 per pair of socks
Step-by-step explanation:
16.80- 10 = 1.68
A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output
Answer:
0.0792therms/hour
Step-by-step explanation:
Given
Total output per month = 57 therm of output
Required
Total output of the pellet stove in one hour
Since 1month = 24×30 = 720hours
Hence:
57therms = 720hours
x therm = 1hour
Cross multiply
720×x = 57
x = 57/720
x = 0.0792 therms/hr
Hence the pellet stove use 0.0792therms/hour
GreatestCommonFactor of 18 and 35
Answer:
1
Step-by-step explanation:
Hope this helps
s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8
Work out
s
when
t
=
0.4
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
Rani bought 9 similar notebooks. She gave the cashier $10 and received change of $5.05. What was the cost of 1 notebook?
Answer: the anwer is 0.55
Step-by-step explanation: if he received 5.05$ change that wasnt the cost. to find real cost subtract 5.05 from ten then divide 4.95 by 9 which equels 0.55
pls give brainest award
What is the quotient of 154,504 divided by 28
Answer:
5518
Step-by-step explanation:
In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm
Answer: c. 6.3
Step-by-step explanation:
Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1
B. x < -1 and x > 5
C. -5
D. X<-5 and x > 1
Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
Please help I suck at this kind of math
I really only need help with number three but if you could do it ll that would be awesome
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
1 Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points G and I on a coordinate plane. Use complete sentences to describe the strategy.
2 Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3 Use the distance formula and the coordinates of points G and I to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
I am sorry, I am only in middle school... I am learning about like the questions I have been asking
Step-by-step explanation:
I really hope you get the question answered and get it correct
Determine whether a triangle with the given side lengths is a right triangle. Side lengths: 10, 11, 15 5, 12, 13 12, 15, 20 16, 30, 34
Answer:
Step-by-step explanation: Use the Pythagorean Theorem to check this.
Remember that the squares of the lengths of the two smaller sides should be equal to the square of the bigger side.
10,11,15 = NO
5,12,13 = YES
12,15,20 = NO
16,30,34= YES
Hope this helps.
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
Bathroom tiles cost £1.65 each.
Work out the total cost of 90 tiles.
Answer:
£144.00
Step-by-step explanation:
1.60 x 90 = 144
Hope this Helps (✿◡‿◡)
Answer:
£148.50
Step-by-step explanation:
you first have to change £1.65 into a whole number
165×90=14850
14850 × 100 = 148.50
Someone please help ASAP
What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?
Will give brainliest pls answer immediately!
Answer:
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group
Answer:
[tex]P_4= 0.2[/tex]
Step-by-step explanation:
From the question we are told that
Consider all seven-digit numbers
Created from the digits 0-9
Generally number of digits that starts with 6 is mathematically given as
The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10
The total amount of even digits within 0-9 (0,2,4,6,8) = 5
The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250
The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50
Probability the number starts with 4
[tex]P_4 = \frac{50}{250}[/tex]
[tex]P_4= 0.2[/tex]
What is 6% of 15? Use a fraction to solve
Answer:
0.9
Step-by-step explanation:
can't really Explain, its simple mathamatics 6% of 15 = 0.9