Answer:
Step-by-step explanation:
[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])
n= -3
p=5
need urgent help
Answer:
-16.
Step-by-step explanation:
2/3 * (-3) * (4*5 + 6 - 2(-3)^2)
= -2(20 + 6 - 18)
= -2 * 8
= -16.
f(x) =2x^2+4x-6. g(x)=4x^3-6x^2+3 find (f+g)(x)
Answer:
=4x³-4x²+4x-3
Step-by-step explanation:
(f+g)(x)=4x³+2x²-6x²+4x-6+3
=4x³-4x²+4x-3
please answer thank you!
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
find the distance between the two points in simplest radical form.
(3,-8) and (8,4)
Answer:
13
Step-by-step explanation:
The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.
The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:
[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]
So, the distance between the two points is 13.
What is the (LCM) of 5/6 and2/5
Answer:
30
Step-by-step explanation:
[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]
Calculate the Theoretical probability of the following experiments.
Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***
Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.
What is the probability that she will NOT randomly take out two oranges in a row?
What is the probability that she will NOT randomly take out two grapefruits in a row?
What is the probability that she will NOT randomly take out two apples in a row?
What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
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Chelsea wants to rearrange her room. She makes a scale drawing of the room and cuts out pieces of paper to represent her furniture. The paper representing her desk is 1 1/4 inches by 2 1/4 inches. What are the actual dimensions of her desk?
A: 1 3/4 feet by 3 feet
B: 2 1/2 feet by 5 feet
C: 2 1/4 feet by 4 1/4 feet
D: 2 1/2 feet by 4 1/2 feet
Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft
To answer the question, we need to know what scale is
What is a scale?A scale is the ratio of two dimension and it is given on a scale drawing.
Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.
Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft
Actual dimensions of deskSo, the actual dimensions of her desk are
1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in
= 5/4 × 1 in by 9/4 × 1 in
= 5/4 × 2 ft by 9/4 × 2 ft
= 5/2 ft by 9/2 ft
= 2 ¹/₂ ft by 4 ¹/₂ ft
So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft
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What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are infinitely many solutions to the system because the equations represent the same line
Satoranaing
19100
Points C, D, and G lie on plane X. Points E and F lie on
plane Y.
X
B
A
Y
Intro
E
D
G
F
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
There is exactly one plane that contains points E, F,
and B.
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and F.
Done
The statements that are true about the given points on the line are; Options B, C and D
How to identify points on a Plane?
A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.
Let us check each of the given options;
A) There are exactly two planes that contain points A, B, and F;
If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.
Since we can't make two planes with them, then the statement is false.
B) There is exactly one plane that contains points E, F, and B;
Due to the same reasoning in part A, the statement is true assuming the points are not collinear.
C) The line that can be drawn through points C and G would lie in plane X;
The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.
D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.
E) The only points that can lie on plane Y are points E and F.
This statement is false because infinite points can lie on a plane.
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what is the answer to −1.4+(−1.2)
Answer:
-2.6
Step-by-step explanation:
-1.4+(-1.2)
-1.4-1.2=-2.6
Hope this helps!
If not, I am sorry.
Is this relation a function? Justify your answer.
Answer:
Can't see the problem. Send a picture of it.
What is a factor of X2–9 X +14
The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)
How to factor the expression?The expression is given as:
x^2 - 9x + 14
Expand
x^2 - 2x - 7x + 14
Factorize the expression
x(x - 2) - 7(x - 2)
Factor out x - 2 from the expression
(x - 7)(x - 2)'
Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'
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The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?
Outlet A sold the greatest number of copies of album x in July and August
How to determine the outlet?The tables of values are given as:
July
Album X Album Y Album Z
Outlet A 14 8 6
Outlet B 7 13 4
Outlet C 2 11 1
August
Album X Album Y Album Z
Outlet A 12 14 10
Outlet B 5 12 8
Outlet C 16 12 7
In July, the total sales of album x are:
Outlet A = 14
Outlet B = 7
Outlet C = 2
In August, the total sales of album x are:
Outlet A = 12
Outlet B = 5
Outlet C = 16
Add both sales
A = 14 + 12 = 26
B = 7 + 5 = 12
C = 2 + 16 = 18
26 (in outlet A) is greater than 12 and 18
Hence, outlet A sold the greatest number of copies of album x in July and August
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Answer:
Outlet D
Step-by-step explanation:
they sold 28 of album x
outlet a only sold 26
If a baseball player hits 10 home runs in the first 45 game, at the same rate how many home runs can he expect to hit during the 162 game season
Using proportions, it is found that he can be expected to hit 36 home runs during the 162 game season.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the player hits 10 home runs in 45 games, hence the proportion is:
p = 10/45.
Then, in 162 games, the amount is:
HR = 10/45 x 162 = 36.
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7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent row increases by 16. how many rows of seats does the arena have?
The number of rows in the arena is 26
How to determine the number of rows?The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
First term, a = 220Sum of terms, Sn = 10920Common difference, d = 16The number of rows (i.e. the number of terms) is calculated using:
[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]
So,we have:
[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]
Evaluate the terms and factors
[tex]21840 = n(440 + 16n -16)[/tex]
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
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Anyone know the answer
Step-by-step explanation:
-2g(1+g)
-2g - 2g²
(-2)g - (2)g²
find the 5th term of the GP is 48 and it 8th term is 384. find the first term and the common
Answer:
[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]
I NEED A.S.A.P PLEASE I WILL GIVE BRAINLIEST
Simplify: 5.9 (9 - 5) + 4^3 + 3.86 A. 63.06 B. 72.83 C. 91.46 D. 98.32
Answer:
C. 91.46
Step-by-step explanation:
Use BODMAS!
Answer:
C. 91.46
Step-by-step explanation:
Using Pemdas to solve:
5.9 (9 - 5) + 4^3 + 3.86
First you have to solve in the parenthesis
5.9 (9 - 5) + 4^3 + 3.86
= 4
New equation:
5.9 x 4 + 4^3 + 3.86
Now solve the exponent:
5.9 x 4 + 4^3 + 3.86
= 64
New equation:
5.9 x 4 + 64 + 3.86
Now we have to do multiplication:
5.9 x 4 + 64 + 3.86
= 23.6
New equation:
23.6 + 64 + 3.86
Now all you have to do is add all that together and you have your answer:
23.6 + 64 + 3.86
= 91.46
Hope this helps.
simplify (x^3+2x-3)-(x^2-2x+4)
Answer:
x³ - ((x+1)(x+1))
Step-by-step explanation:
x³ + 2x -3 - x² - 2x + 4
x³ - x² + 1
x³ - ((x+1)(x+1))
Answer:
x^3−x^2+4x−7
Step-by-step explanation:
Hope this helps! Have a great day!!
What is the perimeter of triangle JKL (same triangle as question #1)?
Answer:
x=30
Step-by-step explanation:
You have to use intercept theorem, also known as Thales's theorem to slvoe this.
A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is . What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?
A group of students from your school is part of the audience for a TV game show, the theoretical probability of students is mathematically given as
P=2.7%
What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?Generally, the equation for Probability is mathematically given as
[tex]P=\frac{Desired outcomes}{Total outcomes}[/tex]
Where Desired outcomes
D=40C5 *110C3
D=1420112865560
And Total outcomes
T=150C8 *
T=5.2572*10^10{12}
Hence, Probability
[tex]P=1420112865560/ 5.2572*10^10{12}[/tex]
P=0.0270
P=2.7%
In conclusion, the theoretical probability
P=2.7%
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If sin Q = 4/5, cos P + cos Q
The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know that:
P + Q are complementary, which means that
P+Q = 90°
Then R is a right angle, i.e. it measures 90°.
sin(90-x) = cos (x)
cos(90-x) = sin (x)
Then sinQ = 4/5
cos(90-Q) = cosP = 4/5
Now sin²(P) + cos²(P) = 1
sin²(P) = 1 - cos²(P)
sin²(P) = 1 -[4/5]² =9/25
sin(P) = 3/5
cos(Q) = sin(P) = 3/5
cos(P) + cos(Q) = 4/5 + 3/5 = 7/5
Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
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Can you do it on paper and photos? the answer!
help me
The value of x in all case is
1. The value of x is 2
2. The value of x is 1
3.The value of x is 57
4.The value of x is 93
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
54+10x+16=90
20=10x
x=2
2. 65x-12=43x+10 (Vertically opposite angle)
22x= 22
x=1
3. 72= x+15 (Vertically opposite angle)
x= 57
4.x+244+23=360 (Complete angle)
x=93
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If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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In a city park, three walking paths form triangle ABC. The length AB is 800 meters, the length BC is 900 meters, and the length AC is 850 meters. Which angle of this triangle has the greatest measure?
Answer:
Step-by-step explanation:
angle c
The angle of the triangle with the greatest measure is ∠A
What is a triangle?A triangle is a polygon with three sides and three angles.
Analysis:
For the triangle, ABC the angle facing the side with the greatest measure is the angle with the greatest measure. From the given information side BC is the side with the greatest measure and the angle facing it is ∠A.
In conclusion, the angle with the greatest measure is ∠A
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The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
10
Step-by-step explanation:
Firstly, we find the value of X
since 5X-9 and 3X+7 are lenghts
5X-9= 3X+7
5X-3X= 7+9
2X = 16
dividing bothsides by 2
2X/2= 16/2
X = 8
Hence,
5X-9= 5(8)-9= 40-9 = 31
3X+7=3(8)+7= 24+7= 31
To find the width
Area= lenght×width
310= 31×w
31w= 310
w= 310/31
W= 10
When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?
A. The period is 2pi/b
B. The period is a
C. The period is pi/b
Explanation:
The value of 'a' out front in y = a sin(bx) determines the amplitude.
The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.
For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3
For tangent and cotangent functions, the period would be pi/b.
Part 1: Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.
Answer:
1. I went to a store four days in a row and only bought chocolate bars each day. All chocolate bars were the same and cost the same. On the first day, I bought 2 chocolate bars for $2.38. On the second day I bought 1 chocolate bar for $1.19. On the third day, I bought 10 chocolate bars for $11.90. On the fourth day, I bough 4 chocolate bars for $4.76.
2. A sink is full. It contains 20 gallons of water. The stopper is removed and water starts draining out. One minute after the stopper is removed, the volume of water in the sink is 18 gallons. Two minutes after the stopper is removed, the volume of water in the sink is 16 gallons. Four minutes after the stopper is removed, the volume of water in the sink is 12 gallons. Ten minutes after the stopper is removed, the sink is empty.
Solve for x:
e^(3x )+ e^x - 6 = 0
Right now I'm having trouble with the step u = e^x, u^3 + u - 6 = 0. Help!
The value of x of the cubic equation e³ˣ + eˣ - 6 = 0 will be 0.49
What is a cubic equation?The cubic equation is given as ax³ + bx² + cx + d = 0. Then degree of the equation will be 3. Then we have
The cubic equation will be
e³ˣ + eˣ - 6 = 0
Let eˣ = u, then the equation will be
u³ + u - 6 = 0
Then the root of the equation is calculated by the calculator, then we have
u = 1.634, -0.817, -0.817
eˣ = 1.634, -0.817, -0.817
Take log on both sides, then we have
x = ln 1.634, ln(-0.817), ln(-0.817)
x = 0.49, not defined, not defined
Then the value of x will be 0.49.
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