Factor the expression: -x - 6 =
Answers
Answer:
- ( x + 6) I think
Related Questions
Please answer .....
there are 5 blue, 4 red, 1 yellow and 2 green bead in a bag.
A) Find the probability that a bead chosen at random from the bag is blue?
B) Find the probability that a bead chosen at random from the bag is red or yellow?
C) Find the probability that a bead chosen at random from the bag is white?
D) Find the probability that a bead chosen at random from the bag is NOT yellow?
Q4) A fruit bowl contains 4 apples, 3 oranges, and 8 bananas, find the probability of
a) Randomly selected orange
b) Randomly selected apples
c) Randomly selected apple or banana
d) Randomly selected orange ,replace it then select banana
Q5) a number cube labeled by the numbers (3,3,3,3,5,5),what is the probability of
a) The number cube shows a 5
b) The number cube shows a 3
c) Having 5 and then 5 when the number cube rolled twice
d) Having 5 and then 3 when the number cube rolled twice
Answers
Answer:
A) 5/12
B) 5/12
C) 0/12
D) 11/12
-------------
Q4.
A) 3/15
B) 4/15
C) 12/15
D) 8/15
-----------------
Q5.
A) 2/6 or 1/3
B) 4/6 or 2/3
C)
D)
Step-by-step explanation:
Data from 2011 indicates that NYC has a total population of 8,244,910 people. The population of Queens is about 23.3% of the total population of NYC (population data is from 2011). Calculate this value for all 5 boroughs.
• Bronx has a population of 1,392,002. What is its percent of the total NYC population?
%
• Broklyn has a population of 2,532,645. What is its percent of the total NYC population?
%
• Manhattan has a population of 1,601,948.
What is its percent of the total NYC
population?
%
• Queens has a population of 2,247,848. What is its percent of the total NYC population?
27.26
%
• Staten Island has a population of 470,467.
What is its percent of the total NYC
population?
Answers
The appropriate percentage of the cities in NYC will be:
Bronx = 16.88%
Brooklyn = 30.72%
Manhattan = 19.43%
Queens = 27.26%
Staten Island = 5.71%
How to illustrate the information?NYC has a total population of 8,244,910 people.
Bronx has a population of 1,392,002, the percent of the total NYC population will be:
= 1,392,002 / 8,244,910 × 100
= 16.88%
Broklyn has a population of 2,532,645, its percent of the total NYC population will be:
= 2532645 / 8244910 × 100
= 30.72%
Manhattan has a population of 1,601,948, its percent of the total NYC population will be:
= 1601948 / 8244910 × 100
= 19.43%
Queens has a population of 2,247,848, its percent of the total NYC population will be:
= 2,247,848 / 8244910 × 100
= 27.26%
Staten Island has a population of 470,467, its percent of the total NYC population will be:
= 470467 / 8244910 × 100
= 5.71%
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The prior probabilities for events
A1, A2, and A3
are
P(A1) = 0.20,
P(A2) = 0.30,
and
P(A3) = 0.50.
The conditional probabilities of event B given
A1,
A2,
and
A3
are
P(B | A1) = 0.50,
P(B | A2) = 0.30,
and
P(B | A3) = 0.40.
(Assume that
A1, A2, and A3
are mutually exclusive events whose union is the entire sample space.)
(a)
Compute
P(B ∩ A1), P(B ∩ A2), and P(B ∩ A3).
P(B ∩ A1)
=
P(B ∩ A2)
=
P(B ∩ A3)
=
(b)
Apply Bayes' theorem,
P(Ai | B) = P(Ai)P(B | Ai)
P(A1)P(B | A1) + P(A2)P(B | A2) + + P(An)P(B | An),
to compute the posterior probability
P(A2 | B).
(Round your answer to two decimal places.)
(c)
Use the tabular approach to applying Bayes' theorem to compute
P(A1 | B),
P(A2 | B),
and
P(A3 | B).
(Round your answers to two decimal places.)
Events P(Ai)
P(B | Ai)
P(Ai ∩ B)
P(Ai | B)
A1
0.20 0.50 A2
0.30 0.30 A3
0.50 0.40 1.00 1.00
Answers
(a) Through the conditional probability formula:\(P(B ∩ A) = P(B | A) P(A),\)
\(P(B / A1) P(A1) = 0.50 x 0.20 = 0.10A2 = 0.30 x 0.30 = 0.09A3= 0.40 x 0.50 = 0.20\)
(b)Bayes' theorem gives
\(P(A2 | B) = p(B | A2) p(A2) / [p(B | A1) P(A1) + p(B | A2) P(A2) + p(B | A3) p(A3)]= 0.26Thus, P(A2 | B) = 0.26.\)
(c)the tabular approach can show us
Events P(Ai) P(B | Ai) P(Ai ∩ B) P(Ai | B)
A1 0.2 0.5 0.1 0.167
A2 0.3 0.3 0.09 0.307
A3 0.5 0.4 0.2 0.526
Therefore,\(P(A1 | B) = 0.167, p(A2 | B) = 0.307, p(A3 | B) = 0.526.\)
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Corresponding points that lie
on the graph of
f(x) = (x-4)^3-6
(Type ordered pairs. Simplify
your answer.)
Answers
The missing coordinates of the cubic equations are filled out as ordered pairs as follows
function coordinates
y = x³ (-1, -1), (0, 0)
f(x) = (x - 4)³ - 6 (-1, -131), (0, -70)
How to find the missing coordinatesThe coordinates of the cubic equation is sought by substituting the values of x in the function and solve for y.
for x = -1
y = x³ = (-1)³ = -1
f(x) = (x - 4)³ - 6 = (-1 - 4)³ - 6 = -131
for x = 0
y = x³ = (0)³ = 0
f(x) = (x - 4)³ - 6 = (0 - 4)³ - 6 = -70
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HELP PLS ILY
Mr. Taylor collected apples on Friday. On Saturday, he collected 2/3 of the amount collected on Friday. How many bushels of apples did Mr. Taylor collect on Saturday.
Answers
Answer:
3 + 2/3 = 9/3 + 2/3 = 11/3
11/3 * 2/3 = \(\frac{11}{3} * \frac{2}{3}\) = \(\frac{22}{9}\) = \(2\frac{2}{9}\)
Self note:
Friday says 3 2/5 and Saturday is blank
Sorry I took so long
Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Answers
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
I really need help please help me
Answers
Answer:
top right
Step-by-step explanation:
If you imagine yourself building with that model you can see its that one
plz help now. Find l (picture below)
Answers
Answer:
10
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: L = 10
Explanation:
The formula is L x W x H
We can do L * 0.5 * 11 = 55
L * 5.5 = 55
L = 10
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Translate the sentence into a mathematical equation-
The total revenue derived from selling x refrigerators is $160 per refrigerator times the number of refrigerators sold.
Let R represent the revenue and x the number of refrigerator sold.
Answers
The sentence into a mathematical equation is R = 160x
How to translate the sentence into a mathematical equation?The sentence "The difference between a number and ten is four" can be translated into a mathematical equation as:
x - 10 = 4
To solve for x, we can add 10 to both sides of the equation. This will give us:
x - 10 + 10 = 4 + 10
x = 14
Therefore, the number is 14.
More generally speaking, we can say that the equation for this sentence is x - a = b, where a is the number we are subtracting (in this case 10) and b is the result of the subtraction (in this case 4). To solve for x, we add a to both sides of the equation, giving us x = a + b.
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Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)
Answers
Answer:
the simple interest rate is 18.00%
Step-by-step explanation:
The computation of the simple interest rate is shown below:
Amount = Principal × (1 + rate)^years
$4,935 = $3,000 × (1 + rate)^3
After solving it, the rate of percentage is 18.00%
Hence, the simple interest rate is 18.00%
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
What is the quotient of (-55) divide by 5?
Answers
Answer:
11
Step-by-step explanation:
✨Answer:✨
-11
✨Step-by-step explanation:✨
-55 ÷ 5 = -11
(Just take the negative sign away and divide)
A local city park rents kayaks for $3.75 per hour. If a customer rents for six or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. If C(x) represents the total cost and x represents the number of rental hours, which of the following functions best models this scenario?
C of x equals 3.75 times x if x is less than 6 and 3.25 plus 5x if x is greater than 6.
C of x equals 3.75 times x if x is less than or equal to 5 and 3.25x minus 5 if x is greater than 6.
C of x equals 3.75 times x if x is less than 6 and 3.25x plus 5 if x is greater than or equal to 6.
C of x equals 3.75 times x if x is less than 5 and 3.25x minus 5 if x is greater than or equal to 6.
Answers
it has the correct conditions and the correct formula for calculating the cost. \(C(x) = 3.25x + 5 if x > = 6\) Thus, option C is correct.
What is equation?The correct function that models this scenario is:
\(C(x) = 3.75x if x < 6\)
\(C(x) = 3.25x + 5 if x > = 6\)
This is because for rentals less than 6 hours, the cost is simply $3.75 per hour, so the function is \(C(x) = 3.75x\) . For rentals of 6 hours or more, there is a discounted hourly rate of $\(3.25\) per hour, but there is also a $5 processing fee, so the function is \(C(x) = 3.25x + 5\) .
Option (a) is incorrect because it does not include the $5 processing fee for rentals of 6 hours or more.
Option (b) is incorrect because it has the wrong conditions for the hourly rate discounts. It specifies that the discount starts at x = 6, but the correct condition is \(x > = 6.\)
Option (c) is correct, as it has the correct conditions and the correct formula for calculating the cost.
Option (d) is incorrect because it has the wrong condition for the hourly rate discounts (x < 5 instead of x < 6), and it does not include the $5 processing fee for rentals of 6 hours or more.
Therefore, it has the correct conditions and the correct formula for calculating the cost. \(C(x) = 3.25x + 5 if x > = 6\)
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The data below are the number of absences and the final grades of 9 randomly selected students
from a statistics class.
Number of absences, x
Final grade, y
0 3
98 86
Use this data to fill in the blanks and answer the following:
0.991
6 4 9 2 15
80 82 71 92 55
a) Find the correlation coefficient, rounded to three decimal places.
-2.755
8 5
76 82
b) Find the slope of the regression line, rounded to three decimal places..
c) Calculate the standard error for the model, rounded to three decimal places:
d) Is there a significant correlation between number of absences and exam score?
Answer "Yes" or "No"
e) What is the expected exam score for a student who has 7 absences?
Round to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
it’s 51
a) The correlation coefficient between the number of absences and final grade is a strong negative -0.991. This means that there's a high likelihood that the number of absences is affecting the final grade, but not in a good way.
b) The slope of the regression line, which helps us understand the relationship between absences and final grade, is -0.624. This indicates that on average, a student's final grade is expected to decrease by 0.624 points for every additional absence they have.
c) The standard error for the model, which measures the difference between the actual exam scores and the predicted scores, is 2.455. This is a measure of the model's accuracy, and the lower the standard error, the more accurate the model is.
d) Yes, there is a significant correlation between the number of absences and exam score. The negative correlation coefficient tells us that the more absences a student has, the lower their exam score is likely to be.
e) Based on the regression line, we can estimate that a student with 7 absences is expected to receive an exam score of 83 (rounded to the nearest whole number). However, it's important to note that this is just an estimate, and other factors such as the student's study habits, test-taking skills, and prior knowledge of the subject could also influence their final grade.
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
Answers
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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Find the equation of the line that is perpendicular to y = – 1 3 x + 2 and passes though the point (–5, 2).
A) y = 3x + 13
B) y = 3x + 17
C) y = –3x + 13
D) y = –3x + 17
Answers
Answer:
The required equation is y = 3x + 17. Correct: B)
Explanation:
Equation of a line
A line can be represented by an equation of the form
y=mx+b
Where x is the independent variable, m is the slope of the line, m is the y-intercept and y is the dependent variable.
We are given the equation of a line as (corrected)
y=-1/3x+2
Note the slope of this line is m1=-1/3
We are asked to find the equation of another line that is perpendicular to the one above. Two lines are perpendicular if their slopes comply with the following condition:
\(m_1*m_2=-1\)
Since we have m1, find m2:
\(\displaystyle m_2=-\frac{1}{m_1}\)
\(\displaystyle m_2=-\frac{1}{-\frac{1}{3}}=3\)
This means the slope of the required line is 3. We only have to test the options to find which one of us contains the point (-5,2):
A) The slope of this line is 3, so we test the point (-5,2)
2=3(-5)+13=-15+13=-2
Since 2 is different from -2, this option is not correct
B) The slope of this line is 3, so we test the point (-5,2)
2=3(-5)+17=-15+17=2
Since equality stands, this is the correct option
C) The slope of this line is -3, it cannot be the required line. This option is not correct
D) The slope of this line is -3, it cannot be the required line. This option is not correct
A tank in the shape of a hemisphere has a diameter of 16 feet. If the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
We can do the following steps to solve the exercise:
Step 1: We find the volume of the tank. For this, we use the formula to calculate the volume of a hemisphere.
\(\begin{gathered} V=\frac{2}{3}\cdot\pi\cdot r^3 \\ \text{ Where} \\ V\text{ is the volume} \\ r\text{ is the radius of the sphere} \end{gathered}\)Then, we have:
\(r=\frac{\text{diameter}}{2}=\frac{16ft}{2}=8ft\)\(\begin{gathered} V=\frac{2}{3}\cdot\pi\cdot r^3 \\ V=\frac{2}{3}\cdot\pi\cdot(8ft)^3 \\ V=\frac{2}{3}\cdot\pi\cdot8^3ft^3 \\ V=\frac{2}{3}\cdot\pi\cdot512ft^3 \\ V\approx1072.33ft^3\Rightarrow\text{ The symbol }\approx\text{ is read 'approixmately'} \end{gathered}\)Step 2: We apply the density formula to find the total weight of the liquid in the tank.
\(\text{Density }=\frac{\text{ Mass}}{\text{Volume}}\)We replace the know values into the above formula.
\(\begin{gathered} \text{Density }=\frac{\text{ Mass}}{\text{Volume}} \\ 93\frac{lb}{ft^3}=\frac{\text{ Mass}}{1072.33ft^3} \\ \text{ Multiply by }1072.33ft^3\text{ from both sides} \\ 93\frac{lb}{ft^3}\cdot1072.33ft^3=\frac{\text{ Mass}}{1072.33ft^3}\cdot1072.33ft^3 \\ 93lb\cdot1072.33=\text{ Mass} \\ 93lb\cdot1072.33=\text{ Mass} \\ 99,727lb\approx\text{ Mass} \end{gathered}\)Therefore, the total weight of the liquid in the tank rounded to the nearest full pound is 99,727 pounds.
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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at noon a train leaves Washington DC headed for Charleston South Carolina a distance of 500 Miles the train traveling at a speed of 44 miles at 1 p.m. a second train leaves Charleston heading for Washington DC traveling 32 miles an hour how long after the train view Charleston where the trains pass each other
Answers
Use the Echelon Method: Solve x + 3y = 1
2x - 5y = 13
Answers
Answer:
x= 4, y= -1
Step-by-step explanation:
-2(x +3y= 1)
-2x-6y=-2
2x -5y= 13
-11y= 11
y= -1
2x -5(-1)= 13
2x +5= 13
2x= 8
x= 4
help please
y is 20 less than the
product of five and
half of x.
i need to know the rate of change
Answers
Answer:
You can put this solution on YOUR website! 5X - 20 = 10 * X 5X - 20 = 10X Subtract 5x from each side-20 = 5X Divide each side by 5-4 = X. Let's make sure it works... 20 less than five times a number (-20-20) is equal to the product of ten and that number (10 * -4)
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1125. What was the rate charged per hour by each mechanic if the sum of the two rates was $140 per hour?
Answers
Answer:
The first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.
Step-by-step explanation:
Given that two mechanics worked on a car, and the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours, and together they charged a total of $ 1125, to determine what was the rate charged per hour by each mechanic if the sum of the two rates was $ 140 per hour, the following calculation must be performed:
1125/15 = X
75 = X
80 x 10 + 60 x 5 = 800 + 300 = 1100
85 x 10 + 55 x 5 = 850 + 275 = 1125
Therefore, the first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.
Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
Answers
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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Evaluate -6r + s - rsfor r= 5 and s= -7.A.58B.-12C.72D.-2.
Answers
In order to evaluate the expression, let's use the given values for r and s and then calculate the final value of the expression:
\(\begin{gathered} -6r+s-rs \\ =-6\cdot5+(-7)-5\cdot(-7) \\ =-30-7+35 \\ =-2 \end{gathered}\)Therefore the correct option is D.
The speed of light is 186,000 miles per second. About how many miles does light travel in an hour? 5.2 × 10^1 miles 3.1 × 10^3 miles 1.1 × 10^7 miles 6.7 × 10^8 miles
Answers
Hey there! I'm happy to help!
We see that light travels 186,000 miles per second. How many miles is this per minute. Well, there are 60 seconds a minute, so we multiply by 60!
186,000×60=11160000
And there are 60 minutes in an hour, so we multiply by sixty again!
11160000×60=669600000
Now, we need to write this in scientific notation. To do this, we move the decimal back enough places to have a one digit number, and we multiply that one digit number by 10 to the power of how many places you moved the decimal back.
In the number 669600000 we can move the decimal point back 8 times which gives us 6.696 (we don't need the zeroes after a decimal) multiplied by 10 to the 8th power because we moved the decimal back eight places.
This can be written as 6.696×10^8, which is closest to the answer option 6.7×10^8 miles.
Have a wonderful day! :D
Which graph has the parent function 1/x?
Answers
Answer:
The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.
Step-by-step explanation:
A rational function is described as the fraction of polynomials, where the denominator has degree of at least 1 .
Or it can be said that there must be a variable in the denominator.
The general form of a rational function is:
\(\text{Rational Function}= f(x)=\frac{p(x)}{q(x)}\)
In this case the parent function provided is: \(f(x)=\frac{1}{x}\).
The function is rational.
The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.
The graph is attached below.
Sketch the graph of the following equations:
y-3x+5
y=-3x-5
Answers
Kari is baking cookies. She uses 15 cups of flour to bake 6 batches of cookies. How many cups of flour does she use for each batch?
Answers
Answer:
Step-oby-step explanation:
Four points are plotted on the number line. Which point best represents 33 1/3% of the distance between zero and one
Answers
The point Y best represents 33 1/3% of the distance between zero and one.
We know that if the mixed fraction a b/c can expressed as improper fraction in below way:
a b/c = (a*c + b)/c
Here the given the mixed fraction is = 33 1/3 = (33*3 + 1)/3 = 100/3
The distance between the point 0 and 1 is given by = 1 - 0 = 1
So the required percentage of the distance = 1*(33 1/3%) = 1*(100/3 %) = 100/(3*100) = 1/3.
From the number line given we can see that the distance between 0 and 1 is divided in to 12 equal parts.
So, 33 1/3% stands at = 12*(1/3) = 4 th parts that is point Y.
Hence the point Y best represents 33 1/3% of the distance between zero and one.
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The question is incomplete. The complete question will be -
Simplify the expression by using a double-angle formula.
sinπ/7·cosπ/7
Answers
After using the trigonometry method the answer is sin 2 (pi/7)/2
What principle underlies trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the branch of mathematics known as "trigonometry." Therefore, using trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle.
What distinguishes geometry from trigonometry?
The study of triangle properties, particularly those of right triangles, is known as trigonometry. But the study of geometry focuses on the characteristics of all geometrical figures.
Given that:
sinπ/7·cosπ/7
if we can divide and multiply 2 so it can be converted to sin 2 theta
sin 2 (pi/7)/2
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