Answer:
Carly didn't make a mistake
Step-by-step explanation:
24 / (4 x 2 - 5)
PEMDAS
P: Parenthesis = (4 x 2 - 5)
E: Exponents: None
M: Multiplication = (4 x 2 - 5) = (8 - 5)
D: Division = Not yet, because the Parenthesis is not done.
A: Adding = None
S: Subtracting = (8 - 5) = 3
Divide = 24/3 = 8
What is the probability that a group of five friends all have different birthdays? Show all of your work for full credit.
Answer: 0.98630136986
Step-by-step explanation:
There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)
in which sentence is the literary device litotes used?
The correct sentence is "He commented that her house was no palace".
What is litotes?“Litotes is a figure of speech and a form of understatement in which a sentiment is expressed ironically by negating its contrary.”
A litote is an statement that expresses the affirmative by saying the negative of the contrary.
The other statements are all statements, they do not give any indication of a deeper level of meaning.
Another example of a litote is: That wasn't the messiest house I've ever seen. In this statement, the house is being described as messy by saying that it is not.
The correct sentence is "He commented that her house was no palace".
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If a1=10 and an+1=-5an-1 then find the value of a4
Please explain!
Answer:
[tex]a_4=-1271[/tex]
Step-by-step explanation:
We are given that:
[tex]a_1=10[/tex]
And:
[tex]a_{n+1}=-5a_n-1[/tex]
And we want to find:
[tex]a_4[/tex]
This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:
[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]
Thus, a₃ will be:
[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]
Finally, a₄ will be:
[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]
Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x),
Answer:
g(x) = (x - a)² or
g(x) = (x + a)² or
g(x) = x² + a or
g(x) = (x + b)² + a or
g(x) = (x + b)² - a or
g(x) = (x - b)² + a or
g(x) = (x - b)² - a
Step-by-step explanation:
Given equation:
f(x) = x²
This is the equation of a parabola with turning points at (0,0) facing up.
Now;
g(x) which is a shifted version of f(x) will have one of many forms depending on the nature of translation.
If f(x) = x² is shifted to the right by a units, then;
g(x) = (x - a)²
If f(x) = x² is shifted to the left by a units, then;
g(x) = (x + a)²
If f(x) = x² is shifted upwards by a units, then;
g(x) = x² + a
If f(x) = x² is shifted downwards by a units, then;
g(x) = x² - a
If f(x) = x² is shifted upwards by a units and to the left by b units, then;
g(x) = (x + b)² + a
If f(x) = x² is shifted downwards by a units and to the left by b units, then;
g(x) = (x + b)² - a
If f(x) = x² is shifted upwards by a units and to the right by b units, then;
g(x) = (x - b)² + a
If f(x) = x² is shifted downwards by a units and to the right by b units, then;
g(x) = (x - b)² - a
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
What is the area of this face?
Answer:
Hello! answer: 180
Step-by-step explanation:
what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...
72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!
what's your answer??>????????????????????????
Answer and Step-by-step explanation:
The answer is parallelograms.
This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.
#teamtrees #PAW (Plant And Water)
Answer:
parallelogramsStep-by-step explanation:
As,
In the picture there is a parallelogram, rhombus, rectangle and a square.
We know,
Properties of parallelogram:-
Opposite sides are equal and parallel Diagonals bisect each other.Sum of any two adjacent angles is 180°All the above conditions are also same In a rhombus, rectangle and a square.
Hence,
Parallelogram best describes all the above shapes
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5
A material has an initial quantity of 20 units. Which equation models the amount of the material, y, growing exponentially at a rate of 17% for time, X?
y = 20(1.17)x
y=20(2.7)x
y=20(0.83)x
y=20(17)x
y = 17(1.2)x
y=20[tex]2.7^{x}[/tex] is the equation models that describes the growth rate of metal whose initial quantity is 20 units.
What is exponential functions?It is inverse of the logarithmic functions.
How to form exponential function?We have been given the initial quantity of metal which is 20 units
and it is growing exponentially at a rate of 17% for time x
So the required equation will be y=20 *e to the power x*17%
value of e is 2.718. so the equation becomes y=20(2.7)to power x
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Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
James is getting ready for wrestling season. As part of his preparation, he plans to lose 5% of his body weight James currently weighs 100 pounds How much will he weigh, in pounds, after he loses 5% of his weight
Multiply 100 pounds by 5%: 100 x 0.05 = 5 pounds.
Subtract that from the original weight:
100 - 5 = 95
He will weigh 95 pounds
what is the factor of x^2 + 2x - 3
Answer:
(x + 3)(x - 1)
Step-by-step explanation:
Given
x² + 2x - 3
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) ← in factored form
What is the factor of x² + 2x - 3
Solution:-x² + 2x - 3[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0
[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0
[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0
[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1
So, x = -3 and 1
The factor of x² + 2x - 3 is -3 and 1. [Answer]Is (-2, 4) a solution of the graphed inequality?
Answer:
No
Step-by-step explanation:
the point (-2,4) is in the white section of the graph which is not part of the inequality.
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2)
What is the solution to the system of linear equations?
(–3, 0)
(–3, 3)
(0, 2)
(3, 1)
Answer:
(0, 2)
Step-by-step explanation:
the answer is (0, 2)
need help finding area
Answer:
93.53
Step-by-step explanation:
How do I find the x? What the answer
Answer:
The height of the square pyramid is 9.8 in.
Step-by-step explanation:
Given;
area of the square pyramid, A = 96 in²
base length, a = 4 in
height of the pyramid, h = x in
The surface area of the pyramid is calculated as follows;
[tex]SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in[/tex]
Therefore, the height of the square pyramid is 9.8 in.
HELP ME QUICK I AM STUCK ON THIS PROBLEM
Answer:
3
Step-by-step explanation:
5<18 is 23 and 23 by 6 is 4 and 4 by 2 is 2 + 1 = 3
(Robert LaClerq is paid a regular wage of $9.50 an hour, overtime at the rate of 1 times the regular rate for all hours worked over 8 in any weekday, and overtime at the rate of 2 times the regular rate for hours worked on Saturdays, Sundays, and holidays. During the week ended February 14, LaClerq worked the following days and hours. Calculate the regular hours worked and the overtime hours worked. Then answer the questions that follow.)
Answer:
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
Step-by-step explanation:
The remaining part of the question is attached
Solution
A person can work maximum of 8 hours in a day
Overtime paid during week day = 1.5 times of $ 9.50 = $14.25
Overtime paid during weekend = 2 times of $ 9.50 = $19
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.
2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).
3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).
4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).
What is Overtime Pay?Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.
Data and Calculations:Wages per hour for regular hours = $9.50
Overtime pay during weekdays = $9.50 per hour
Overtime pay during weekends = $19 per hour ($9.50 x 2)
Day Total hours Regular Overtime
worked hours hours
Monday 7 7 0 (7 - 7)
Tuesday 10 8 2 (10 - 8)
Wednesday 8 8 0 (8 - 8)
Thursday 10 8 2 (10 - 8)
Friday 11 8 3 (11 - 8)
Saturday 2 2 0 (2 - 2)
Total hours 48 41 7
Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).
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Shen made $25,000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.
How much must Shen pay in income tax for last year?
Answer:
3400
Step-by-step explanation:
25000
- 7000 x .10= 700 calculate 10% tax
——————
=18000 x .15 =2700 calculate tax over 7000 at 15%
total tax. = 3400
Answer please
76, 88, 81, 85, 86, 91, 68, 78, 72, 84, 82, 90, 69, 70, 75, 87, 79
There are 10 2/15 kg of watermelons and coconuts on a truck. The weight of the watermelons is 3 3/5 times that of the coconuts. How heavy are the coconuts on the truck, in kg?
Answer:
2 7/76 kg
Step-by-step explanation:
Let the weight of
Watermelons = x
Coconut = y
There are 10 2/15 kg of watermelons and coconuts on a truck.
x + y = 10 2/15
x = 10 2/15 - y
x = 152/15 - y.... Equation 1
The weight of the watermelons is 3 3/5 times that of the coconuts.
x = 3 3/5 × y
x = 18/5 × y
x = 18y/5
How heavy are the coconuts on the truck, in kg?
Find y
We substitute 18y/5 for x in Equation 1
x = 152/15 - y
18y/5 = 152/15 - y
18y /5 + y = 152/15
Multiply through by 15
18y/5 × 15 + y × 15 = 152/15 × 15
3 × 18y + 15y = 152
54y + 15y = 152
69y = 152
y = 152/69
y = 2 14/152
y = 2 7/76 kg
Therefore, the weight of the coconuts are 2 7/76 kg
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm
V = 127th
1. 12(3.14) (1) = 37.68
2
3
4
5
6
7
8
9
10
Answer:
988
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
m
4yd
14 yd
17 yd
To Find :
The area of triangle whose side are 4 yard, 14 yard and 17 yard.
Solution :
We will use Heron's formula to find area of the triangle.
So,
[tex]s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5[/tex]
Now, heron's formula is :
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Putting all given values in above equation :
[tex]A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2[/tex]
Hence, this is the required solution.
How do I find the base and height? I know how to find the area, but I don't think I can find that without the base and height...
Answer:
Hello! answer: base = 47
Step-by-step explanation:
area = base × height ÷ 2 or base × height × 1/2
Need help will give thanks or brainliest
Step-by-step explanation:
success
................
Answer:
6 cm
Step-by-step explanation:
Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.
Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.
So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).
please help i have been struggling
Answer:
6000
Step-by-step explanation:
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan