Answers
Answer:
Identify and combine the x^2 terms: The terms are x^2,4x^2,x^2. The combination is 6x^2
Indentify and combine the x terms:The terms are 2x, x, 3x. The combination is 6x
Indentify and combine the constants: The constants are 3,9, 11. The combination is 23.
The simplified expression becomes: 6x^2+6x+23
Related Questions
Is 67 + 59 positive or negative?
Answers
Answer:
positive
Step-by-step explanation:
67 plus 59 equals 134
positive
67 + 59 = 126
The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles (Chance, Summer 2005). The probability that an intruding object (e.g. a missile) will be detected on a ight track by SBIRS is 0.8. consider a sample of 20 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object.
Required:
a. Demonstrate that x is (approximately) a binomial random variable.
b. Give the values of p and n for the binomial distribution.
c. Find P(x = 15), the probability that SBIRS will detect the object on exactly 15 tracks.
d. Find P(x≥15) the probability that SBIRS will detect the object on at least 15 tracks.
e. Find E(x) and interpret the result.
Answers
Answer:
Part A:
\(P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}\)
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
P(X=15)=0.17456
Part D:
P(X≥15)=0.80417
Part E:
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Step-by-step explanation:
Part A:
Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks
It means:
\(P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}\)
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
x=15
\(P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\\)
By solving above Expression:
P(X=15)=0.17456
Part D:
P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)
\(P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\\)
P(X=15)=0.17456
\(P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819\)
\(P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536\)
\(P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153\)
Now, Adding Probabilities:
\(P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\\)
P(X≥15)=0.80417
Part E:
Mean Distribution:
E(x)=n*p
E(x)=20*0.8
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse.
Function and Inverse
Correct
Incorrect
Rx) = 3x
O
Rx) = 3x + 7
F(x) = x - 3
VX-6
x =
O
O
Answers
Answer:
Step-by-step explanation:
1). f(x) = 3x⁵
Step - 1
Convert the given function in the form of an equation.
y = 3x⁵
Step - 2
Interchange x by y.
Step - 3
Solve the equation for y
x = 3y⁵
y⁵ = \(\frac{x}{3}\)
\(y=\sqrt[5]{\frac{x}{3}}\)
Step - 4
Convert the equation into function.
\(f^{-1}(x)=\sqrt[5]{\frac{x}{3}}\)
Correct.
2). f(x) = 3x + 7
Step - 1
y = 3x + 7
Step - 2
x = 3y + 7
Step - 3
3y = x - 7
y = \(\frac{1}{3}(x-7)\)
Step - 4
\(f^{-1}(x)=\frac{1}{3}(x-7)\)
Correct.
3). f(x) = 6 + 4x³
Step - 1
y = 4x³ + 6
Step - 2
x = 4y³ + 6
Step - 3
y = \(\sqrt[3]{\frac{1}{4}(x-6)}\)
Step - 4
\(f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}\)
Incorrect.
What is the slope of the line that contains the points (−3, −1) and (3, 8)?
two thirds
three halves
Undefined
0
Answers
Answer:
m = \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 8 )
m = \(\frac{8-(-1)}{3-(-3)}\) = \(\frac{8+1}{3+3}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)
Answer:
3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= (8- -1)/( 3 - -3)
= (8+1)/(3+3)
= 9/6
= 3/2
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answers
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
If 40% of the voters who responded are over 40 years old, how many voters responded in all?
A. 120
B. 88
C. 80
D. 68
Answers
HELP! PLEASE!!
Simplify the expression.
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
Regrouping the factors, we have ...
What linear function equation is represented by this graph?
ANSWER: 1
3
x−4 just took the test
Answers
Answer:
The linear function is y = (1/3)x - 4.
Step-by-step explanation:
The y-intercept is -4. Starting at (0, -4), go up 1 unit and then right 3 units. You will end at (3, -1). So the slope of this line is 1/3, and it follows that the function is
y = (1/3)x - 4.
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
Answers
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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if it is assumed that all 52 5 poker hands are equally likely, what is the probability of being dealt
Answers
The probability of being dealt a flush is 0.001980, probability of being dealt a one pair is 0.422569, probability of being dealt two pairs is 0.04753.
a) First select a suit: 4 choices
then, we can have to select 5 cards out of 13: C(13, 5)
required probability: 4*C(13, 5)/C(52, 5)
= 0.001980
b)- We have to select two cards to make a pair: C(4, 2) choices (we have to select 2 from 4 because a suit can't have 2 cards of same number, so we are selecting 2 suits from 4),
then select a number for the pair: 13 choices,
now for remaining three cards: each card can be of same suit but number must be different, i.e. 4³*C(12, 3)
required probability: 13*C(4, 2) * C(12, 3) *4³ / C(52, 5)
= 0.422569
c)- First, we have to select two numbers for two pairs: C(13, 2) ,
Select suits for both pairs: C(4, 2) * C(4, 2) ,
For the remaining one card: 11 choices for the number and 4 choices for the suit,
required probability: C(13, 2)*C(4, 2)*C(4, 2)*11*4/C(52, 5)
= 0.04753
Probability means possibility. It's a branch of mathematics that deals with the circumstance of a arbitrary event. The value is expressed from zero to one. Probability has been introduced in Maths to prognosticate how likely events are to be. The meaning of probability is principally the extent to which commodity is likely to be.
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Complete question:
If it is assumed that all (52 5) poker hands are equally likely, what is the probability of being dealt (a) a flush? (A hand is said to be a flush if all 5 cards are of the same suit.)
(b) one pair? (This occurs when the cards have denominations a, a, b, c, d, wherea, b, c, and d are all distinct.)
(c) two pairs? (This occurs when the cards have denominations a, a, b, b, c, wherea, b, andc are all distinct.)
What measures of center and spread are best used if the data is symmetrical and asymmetrical? Explain your reasoning.
Answers
Answer:
If the data is symmetrical, then the mean is the best measure of central tendency to use, and the standard deviation is the best spread to use.
If the data is unsymmetrical, the median is the best measure of central tendency to use, and the inter-quarterly range is the best spread to use.
Step-by-step explanation:
An histogram for a symmetrical data will give a symmetrical shape, and the mean, median and mode will all be the same value. Therefore, the best measure of central tendency to use is the mean. The standard deviation shows how far away the values in a given data set are from the mean, and since the mean is used as the measure of central tendency in this case, the standard deviation should be used as the spread.
An histogram for a an asymmetric data set will give an asymmetric shape, and the mean is not always equal to the median. Therefore, the best measure of central tendency to use is the median. The inter-quarterly range shows the range of the middle 50% of a certain data, which is considered from the median value. Since the median is used as the measure of central tendency in this case, it is wise to use the inter-quarterly range as the measure of spread.
Answer:
i ama
Step-by-step explanation:
In Exercises 25 and 26, write a linear function f with the
given values
Answers
The solution is, the 1st linear function => f(x) = -2x+1 and,
the 2nd linear function => f(x) = x/2.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given data, we get,
for the 1st table,
the linear function => f(x) = -2x+1
and,
from the 2nd table,
the linear function => f(x) = x/2
Hence, The solution is, the 1st linear function => f(x) = -2x+1 and,
the 2nd linear function => f(x) = x/2.
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find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
Answers
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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I need help with the second part
Answers
The probability that each bill is a $1 bill is given as follows:
1/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.
Hence the probability that each bill is a $1 bill is obtained as follows:
p = 1/4 x 1/4
p = 1/16.
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I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
If X = 6 units, Y = 4 units, and Z = 13 units, then what is the volume of the triangular pyramid shown above?
A.
44 cubic units
B.
39 cubic units
C.
104 cubic units
D.
52 cubic units
Answers
Answer:
D. 52 cubic units
Step-by-step explanation:
x^2+12x−7=(x+p)^2−q. find the value of p and the value of q
Answers
Answer:
p = 6 , q = 43
Step-by-step explanation:
x² + 12x - 7
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
=x² + 2(6)x + 36 - 36 - 7
= (x + 6)² - 43 ← in the form (x + p)² - q
with p = 6 and q = 43
In this figure Ab and cd are parallel.
Answers
Answer:
figure is not available...
Point A is at (3, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflec
both axes to create point C. What is the area of the triangle that results from connecting the three points?
72 square units
19 square units
18 square units
36 square units
Answers
A large consumer goods company ran a television advertisement for one of its soap productions. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement B ∩ S = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P (B) = 0.20, P (S) = 0.40, P (B ∩ S) = 0.12. What is the probability that an individual purchased or recalls seeing the advertisement.
Answers
Answer:
\(P(B\ u\ S) = 0.48\)
Step-by-step explanation:
Given
\(P(S) = 0.40\)
\(P(B) = 0.20\)
\(P(B\ n\ S) = 0.12\)
Required
Determine \(P(B\ u\ S)\)
In probability, the relationship between the given parameters and the required is:
\(P(B\ u\ S) = P(S) + P(B) - P(B\ n\ S)\)
Substitute values for P(S), P(B) and P(B n S)
\(P(B\ u\ S) = 0.40 + 0.20 - 0.12\)
\(P(B\ u\ S) = 0.48\)
Hence;
The probability that of purchasing or recalling is 0.48
help please
what is the product?
Answers
Answer:
−10x4+17x2y−6y2-10x4+17x2y-6y2
or the second option
10x+whatever
Simplify: 9x + 2(x - 3) - 2x + 10
Answers
Answer: 9x+4
Step-by-step explanation: We take out the parentheses by multiplying both values by 2 (2 times x and 2 times 3) to get 2x-6. Now our equation is 9x+2x-6-2x+10. We can see that there is a +2x and a -2x so we just take both of them out as they cancel out each other. Now our equation is 9x -6+10. we add 10 to -6 to get +4. The result is 9x+4.
Answer:
9x + 4
Step-by-step explanation:
9x + 2x - 6 - 2x + 10
Rearranging,
=> 9x + 2x - 2x + 10 - 6
=> 9x + 4
4.009 x 10-3 in decimal form
Answers
Answer:
the 3 represent a one thousand
so that means 4.oo9* 1000 = =49
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y=-x²
+7x+1 and the path of the dogis modeled by y = 2x + 5, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
A: Yes, they intersect at the coordinates (1,7) and (4, 13)
B: Yes, they intersect at the coordinates (1,9) and (2, 9)
C: Yes, they intersect at the coordinates (2, 11) and (3, 11)
D: No, the paths do not cross
Answers
the intersection points are (1, 7) and (4, 13), So the correct option is A.
Will the dog catch the frisbee?
To see that, we need to see when the two equations:
y = -x²+7x+1
y = 2x + 5
Can be solved simultaneously for a point (x, y). So we need to solve a system of equations.
y = -x²+7x+1
y = 2x + 5
We can rewrite:
-x²+7x+1 = y = 2x + 5
Then we can solve this for x:
-x²+7x+1 = 2x + 5
x² - 5x + 4 = 0
This is just a quadratic equation, the solutions are:
\(x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*(1)*(4)} }{2} \\\\x = \frac{5 \pm 3 }{2}\)
So we have two values of x:
x = (5 + 3)/2 = 4x = (5 - 3)/2 = 1The correspondent values of y are:
y = 2*(4) + 5 = 13
y = 2*(1) + 5 = 7
Then the intersection points are (1, 7) and (4, 13)
Then the correct option is A. The dog will catch the frisbee.
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A store that sells skis buys them from a manufacturer at a wholesale price of $87 The store's markup rate is 50% A. What price does the store charge its customers for the skis? B. What percent of the original price is the final price? C. What is the percent INCREASE from the original price to the final price?
Answers
Answer:
A. $130.50
B. 150%
C. 50%
Step-by-step explanation:
First, find 50% of 87 and add it to find the new price.
87 x 0.5 = 43.5
87 + 43.5 = 130.5
Then, find the percent by doing 130.5 ÷ 87, which is 150%
Calculate the percent increase by doing (130.5-87) ÷ 87, which is 50%
Answer:
see below
Step-by-step explanation:
First find the markup
87* 50%
87*.50
43.50
Add this to the wholesale price
87+43.50 =130.50
This is what they charge the customer
This is 150% percent of the wholesale price
100% + 50% = 150%
To find the percent increase
Take the new price and subtract the wholesale price
Then divide by the wholesale price
(130.50-87)/87 =50 % increase
Does x+ y < -4 have a solution?
Answers
Answer:
infinite solutions :)
Step-by-step explanation:
infinity solutions, there is infininte possibilitys.
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answers
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines.
Answers
The given statement "horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines." is false.
In geometry, the term line is referred as the path of a moving point through space.
Here we have given the statement "horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines."
And we need to identify whether the given statement is true or not.
While we looking into the given problem, we know that the diagonal line in a composition is considered to be the most dynamic line and suggests movement along that path and they are straight lines that slant in any direction except horizontal or vertical.
Based on this definition, we have identified that the given statement is false.
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Jorge is making 6 large salads
Answers
Answer:
what is the rest of your question haha
Step-by-step explanation:
find the value of the varible
Answers
Answer:
I'm not certain but it's a possibility that the answer is 6.