Answers
Answer:
Step-by-step explanation:
12P3 = 12! / (12-3)!
= 12*11*10
= 1320.
8C7 = 8!/7! *(8-7)!
= 8.
Related Questions
The height of a burning candle can be modeled by a linear function.
Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial
Answers
Answer:
below
Step-by-step explanation:
• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.
• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.
24 / 4 = 6
As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.
• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.
290 / 5 = 58
Candle B will burn out after 58 hours. This statement is true.
• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.
10 x 6 = 60
201 - 60 = 141
After 10 hours the height of Candle a will be 141 millimeters. This statement is true.
• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that
Candle A will burn out before Candle B. This statement is true.
NEED HELP PLEASE ANSWER ASAP! (43)
Answers
Answer:
43. (2) $2.00
Step-by-step explanation:
Question 43
Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50Subtract Equation 2 from Equation 1.
3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00Answer:
(2) $2.00
Step-by-step explanation:
Jack's order
3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50
Grace's order
3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50
The difference between the two orders is 2 slices of mushroom pizza.
The difference between the cost of the two orders is:
$12.50 - $8.50 = $4.00
Therefore, 2 slices of mushroom pizza costs $4.00
So the cost of 1 slice of mushroom pizza is:
$4.00 ÷ 2 = $2.00
What are the solutions of the equation x^4+3x^2+2=0? Use u substitution to solve.
Answers
Answer:
Option BStep-by-step explanation:
Solve the equation in steps below
[tex]x^4+3x^2+2=0[/tex][tex]x^4+x^2+2x^2+2=0[/tex][tex]x^2(x^2+1)+2(x^2+1)=0[/tex][tex](x^2+2)(x^2+1) = 0[/tex][tex]x^2+2=0[/tex] or [tex]x^2+1=0[/tex][tex]x^2=-2[/tex] or [tex]x^2=-1[/tex][tex]x=\sqrt{-2}[/tex] or [tex]x=\sqrt{-1}[/tex][tex]x=\pm\ i\sqrt{2}[/tex] or [tex]x=\pm\ i[/tex]Correct choice is B
i need help please thanks
I will give brainlessly
Answers
~Answer~
_____________________________________
1. yes ±4
2. no, it's between 9 and 4
3. no, it's between 25 and 9
4. yes ±7
5. yes ±11
6. no, it's between 81 and 64
~Step-by-step explanation~
_____________________________________
ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.
_____________________________________
Hope this helps and have a good day!
P.S. Brainliest :)
apply the distributive property to multiply the following
1. 9×15
2.48×4
3.65×5
4.8×87
5.38×3
Answers
2. (40 x 4) + (8 x 4) = 160 + 32 = 192.
3. (60 x 5) + (5 x 5) = 300 + 25 = 325.
4. (8 x 80) + (8 x 7) = 640 + 56 = 696.
5. (30 x 3) + (8 x 3) = 90 + 24 = 114.
According to the rational root theorem, negative seven-eighths is a potential rational root of which function? f(x) = 24x7 3x6 4x3 – x – 28 f(x) = 28x7 3x6 4x3 – x – 24 f(x) = 30x7 3x6 4x3 – x – 56 f(x) = 56x7 3x6 4x3 – x – 30
Answers
According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.
What is a rational root theorem?A rational root theorem is also referred to as rational root test and it states that when the coefficients of a polynomial are integers, all of the possible rational roots can be determined by dividing each factor of the constant term by each factor of the coefficient of the highest power (leading coefficient).
In Mathematics, the canonical form for a polynomial in one variable (x) is given by:
[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]
Therefore, the potential rational root of the above polynomial is ±factors of a₀ dividided by ±factors of [tex]a_n[/tex] i.e ([tex]\pm a_0/\pm a_n[/tex]).
For this exercise, -7/8 is a potential rational root of f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28 in accordance with rational root theorem;
Factors of the leading coefficient are: 24: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.Factors of the constant term are: 28: ±1, ±2, ±4, ±7, ±14, ±28.Potential rational root is: ±7/8.Read more on rational root theorem here: https://brainly.com/question/10937559
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Type the correct answer in the box. use numerals instead of words. for this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 the mean of the data set is , and the sample proportion of numbers less than the mean is %.
Answers
The mean of the data set is 22.1
The sample proportion of numbers less than the mean is %53
Calculations and Parameters:To find the mean,
We would sum the numbers and then divide them by the number of data.
25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6
= 331.5
331.5/15= 22.10.
To find the proportion of numbers, we would order them:
15.3
17.9
18.2
18.2
19.6
20.2
20.7
21.4
---------
22.6
24.3
25.5
26
26.1
27
28.5
The discontinuous line shows the split of the data that are less than the mean.
Those data are 8 in number and their proportion is:
8 / 15
= 0.53
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QUESTION 1 [10] The accompanying diagram shows the graph of f(x) = a* B 1.1. Write down the coordinate of A; explain. 1.2. How can we tell that: 0 < a < 1? 1.3. Determine a if B is the point (4;). (3) (2) 1.4. Determine the equation of the graph obtained if the graph above is reflected about the y-axis 1.5. Write down the coordinates of the point of intersection of the two graphs. (2 (2) (1)
Answers
The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x
How to interpret Graph Functions?The equation of the accompanying graph is;
f(x) = aˣ
1) We want to write the coordinate of A. Thus;
f(0) = a⁰ = 1
Thus;
Coordinate of A = (0, 1)
2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.
3) If B is the point (4, ¹/₁₆), then;
f(4) = a⁴ = ¹/₁₆
a = ⁴√(¹/₁₆)
a = ¹/₂
4) The equation of the graph with B coordinate is;
y - ax
⇒ ¹/₂^(ˣ) - (¹/₂)x
5) To get the coordinates of the point of intersection of the two graphs is;
¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)
⇒ (¹/₂)x = 0
x = 0
Thus, the coordinate of the intersection is; (0, 0)
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On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
Answers
Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.If the ratio of iphones to total phones in a classroom is 5: 8 and there are 24 phones overall, how many iphones are there?
Answers
Answer:
The answer is 15
Step-by-step explanation:
Step-by-step explanation:
let the number of total phones be 8x and number of iPhones be 5x
now,
8x=24
or, x= 24/8 = 3
therefore
no. of iPhones = 5x = 5×3 = 15
i hope my answer is clear
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 19, 16, 13, 10, 7.
Use the values in the table to determine the slope.
m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
none
Three-halves
0
Negative three-halves
I NEED IT ASAP I HAVE 10 MINUTES
Answers
Math hw 2
Probability Distributions
pls help me with my homework!!
thanks,
Answers
In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.
What is a Random Variable?A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.
We are given two scenarios in which we are to identify the random variable here.
The number of hits for the players of a baseball teamThe distance travelled by the tee shots in a golfIn the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.
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What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.
Answers
Answer:
c: 275
Step-by-step explanation:
A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level
Answers
Step-by-Step Explanation:
Fish is at => 125m below sea level
It rises => 56m
Therefore, Fish is now at:
= 125 - 56 = 69m below sea level
It dives => 48m
Therefore, Fish is now at:
= 69 + 48 = 117m below sea level
It rises => 25m
Therefore, Fish is now at:
= 117 - 25 = 92m below sea level
C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).
Answers
The length is 3
The area is 18
Which one 3, 4, 6, or 7
Answers
Answer:
i think that it is 6
Step-by-step explanation:
hope this helps
Please give me Brainlist
Solve the equation 2(3x-2)=(12x+4)
Answers
Answer:
x = -4/3 or -1.3333333....... (infinite)
Step-by-step explanation:
6x-4=(12x+4)
6x-4+4=12x+4+4
6x = 12x + 4 + 4
6 = 12x + 8
6x - 12x = 12x + 8 - 12x
-6 = 12x + 8 - 12x
-6x = 8
-6x/6 = 8/-6
x = 8/-6
x = -4/3
Answer:
[tex]\sf x = -\dfrac{4}{3}[/tex]
Explanation:
Given Expression:
2(3x-2) = (12x+4)Remove Parenthesis:
2(3x) - 2(2) = 12x + 4Multiply Integers:
6x - 4 = 12x + 4Exchange Sides:
12x - 6x = -4 - 4Simplify:
6x = -8Divide Both Sides by 6:
x = -8/6 = -4/3the value of y is directly proportional to the value of x .If y = 124 when x = 8 , what is the value of y when x= - 1/2
Answers
Answer:
-7.75
Step-by-step explanation:
[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]
Can someone help me with the steps to create the formula? It involves quadratics
Answers
The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16
How to create the formula?The points are given as:
(-2,0) , (8,0) and (2, -24)
The points (-2,0) and (8,0) are the zeros of the function.
So, we have:
f(x) = a(x + 2)(x -8)
Substitute (2, -24) in the above equation
-24 = a(2 + 2)(2 -8)
Evaluate the sum and the difference
-24 = a(4)(-6)
Divide both sides by -24
a = 1
Substitute a = 1 in f(x) = a(x + 2)(x -8)
f(x) = (x + 2)(x -8)
Expand
f(x) = x² + 2x - 8x - 16
Evaluate the like terms
f(x) = x² - 6x - 16
Hence, the formula of the quadratic function is f(x) = x² - 6x - 16
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I'm in 7th grade and am doing high school math! Help!
Answers
Answer:
Step-by-step explanation:
(x - 5)(x + 2) = 0
x - 5 = 0
x = 5
x + 2 = 0
x = -2
x = 5, -2
Illustrate on a number line the solution set of each pair of simultaneous inequalities. x>-2;-4 <x <2
Answers
Answer:
See below
Step-by-step explanation:
Use this tool to plot
https://quickmath.com/webMathematica3/quickmath/graphs/inequalities/basic.jsp#form?v2=graph
The results are shown in the accompanying screenshots
From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.
Answers
The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle of elevation = 36 degree
Horizontal distance of 275 meters from the base of the skyscraper
From the tan ratio:
tan36 = x/275
x = 275(tan36)
x = 199.79 meters
The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters
Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º
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Answer:I just got it wrong the answer is 201.49
Step-by-step explanation:
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation. Which equation could Kim use to find x, the length of the pole?
Answers
Answer: Therefore the length of the pole in 10.1 foot (approx) .
Step-by-step explanation:
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
A savings account offers 0.8% interest compounded bimonthly. If Bob deposited $300 into this account, how much interest will he earn after 10 years?
Answers
Answer:
$288
Step-by-step explanation:
We first need to find what 0.8% of 300 makes and to do that we multiply 300 with 0.8 and divide that by 100
300*(0.8)/100 = 2.4 this is the monthly interest
Now we need to find how much it'd be after 10 years
There are 10*12 = 120 months in 10 years
120*(2.4) = 288 is the interest Bob will earn after 10 years
5 The diagram shows three identical shapes. į of
shape A is shaded and of shape C is shaded.
What fraction of shape B is shaded? ......
Answers
Answer:
7/24
Step-by-step explanation:
The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.
Unshaded area in A: 1 - 2/3 = 1/3
Unshaded area in C: 1 - 5/8 = 3/8
Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24
Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24
How many megabyte in a gigabyte.
Answers
Answer:
1,024 Megabytes in 1 GigabyteStep-by-step explanation:
Here's the table!
1 Kilobyte = 1,024 Bytes
1 Megabyte = 1,024 Kilobytes
1 Gigabyte = 1,024 Megabytes
1 Terabyte = 1,024 Gigabytes
From this we can see that there are
1,024 Megabytes in 1 Gigabyte
PLEASE HELP ASAP!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)
Answers
Bridget can type 2400 words in 40 minutes.
Krutika can type 2750 in 50 minutes.
Jim can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?
Answers
Answer:
bridget types at the fastest rate as he can type 60 words per minute
-6-5 (subtracting integers))
Answers
Just adding both the numericals because they both have same sign that is negative
-6-5
-11 answer
Answer:
-11
Step-by-step explanation:
Change the minus sign to addition
6 + 5
= 11
= -11
it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it
Answer = -11
The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Answers
Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.
Set the equation
2x + x = 36
Simplify. Combine like terms
(2x + x) = 36
3x = 36
Isolate the x. Divide 3 from both sides
(3x)/3 = (36)/3
x = 36/3
x = 12
The first number is 12
The second number is 2x. Replace x with 12. Multiply.
2x = 2(12) = 24
The second number is 24
Check: 12 + 24 = 36 (True)
Answer: 12 & 24
