The expression that is equal to the rational expression is \(\frac{x + 11}{x + 9)}\)
How to determine the equivalent expression?The proper format of the question is in the attachment
The expression is given as:
\(\frac{(x - 4)(x + 11}{(x + 9)(x - 4)}\)
Cancel out the common factor x - 4
\(\frac{x + 11}{x + 9)}\)
Hence, the expression that is equal to the rational expression is \(\frac{x + 11}{x + 9)}\)
Read more about rational expressions at:
https://brainly.com/question/1851758
#SPJ1
Find the measure of angle 1 (multiple choice) HELP !!
Answer:
9
Step-by-step explanation:
What is the slope of the line that passes through the points (2, 1) and (8, 9)?
Answer:
4/3
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (9 - 1)/(8 - 2) = 8/6 = 4/3
gpas at ccsu are normally distributed with a mean of 2.47 and a standard deviation of 0.58. find the z -score for a gpa of 3.29
The z-score for a GPA of 3.29 that are normally distributed with a mean of 2.47 is 1.41.
What is a z-score?A z-score can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In a normal distribution, the z-score of a given sample score can be calculated by using this formula:
Z = (x - μ)/σ
Where:
σ represents the standard deviation.x represents the sample score.μ represents the mean score.Substituting the given parameters into the formula, we have;
Z-score, z = (3.29 - 2.47)/(0.58)
Z-score, z = 0.82/0.58
Z-score, z = 1.41
Read more on z-scores here: brainly.com/question/26714379
#SPJ1
The lifetime of a product can be estimated using a normal distribution. What is the probability that the product will last between 16.536 and 8.054 years if the average lifetime has a mean of 14.242 years and a standard deviation of 3.978 years?
The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.
In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.
Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978
Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
i just give a question
Which one of the following expression is binomial?
2x+3y+z
2x+3
2x
x+y+z
which one
PLS HELPPPP
Answer the following problem using the SOLVE Method
Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to
raise $500 by Friday. The figure below shows how much they have raised by
Wednesday. What is the minimum number of T-shirts they must still sell in
order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: https://brainly.com/question/25285332
I’m having a little issue with my Trigonometry homework. The model of this problem does not have a number for the hypotenuse. Thus, I concluded that the formula needed to answer this isn’t either the adjacent over hypotenuse or opposite over hypotenuse. However, when I try the formula for tangent, the answer (rounded to the nearest tenth) is 64.9. This isn’t an answer given in this worksheet. The possible answers on said sheet are 23.4 or 25.1. If someone could maybe help me out with this, that would be very appreciated!
9514 1404 393
Answer:
x ≈ 23.4
Step-by-step explanation:
You are correct that the given information indicates the tangent function is appropriate.
Tan = Opposite/Adjacent
tan(59°) = 39/x
Multiply this equation by x/tan(59°) and you get ...
x = 39/tan(59°)
x ≈ 39/1.6643 ≈ 23.43
The appropriate answer choice is ...
x = 23.4
Find: 2 + 5 ( 4 - 1 )
Given:
\(2+5(4-1)\)To find the value:
Explanation:
Using the BODMAS rule,
Solving the expression as follows,
\(\begin{gathered} 2+5(4-1)=2+5(3) \\ =2+15 \\ =17 \end{gathered}\)Final answer:
The value of the given expression is 17.
find measure of angle b
Answer:
9. b=120 8. b=43 11 b=84 12 b=23
Step-by-step explanation:
number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90
6=3n/5
thats the equation and i need to find out what n is
Answer:
n=10
Step-by-step explanation:
6=3n/5
multiply both sides by 5
30=3n
divide both sides 3
10=n
Which model represents 1/2 divided by 1/6?
Answer:
The answer I believe is : D.
~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Write the quadratic equation in standard form: − 8x+19=-2x^²
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-‐up fee of $250, and it charges $6.00 to burn each CD. define the variabvles in this situation
Please help fill in this chart
The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.
What is the firm's shut-down price?The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.
Using the table provided, we can calculate the missing values:
Variable Cost:
For 0 pizzas, the variable cost is $0.
For 1 pizza, the variable cost is $10.
For 2 pizzas, the variable cost is $12.
For 3 pizzas, the variable cost is $2.
For 4 pizzas, the variable cost is $1.
For 5 pizzas, the variable cost is $2.
For 6 pizzas, the variable cost is $3.
For 7 pizzas, the variable cost is $13.
For 8 pizzas, the variable cost is $16.
For 9 pizzas, the variable cost is $3.
For 10 pizzas, the variable cost is $6.
For 11 pizzas, the variable cost is $4.
Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.
Average Variable Cost:
To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.
Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.
Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.
This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.
Learn more about variable cost at:
brainly.com/question/26373444
#SPJ1
Helpppppp plssss!!!!!!
Incorrect:
A-Reflection across line AC
B-Reflection across line BD
C-vertical translation
Correct:
D-Rotation about the center of the square
Thank you so much Please consider brainliest! <3
Let f(x)=x^2 and g(x)=x+1. Find a.(f∘g)(x) b. (g∘f)(x)
The answers are a.(f∘g)(x) = x^2+2x+1 and b. (g∘f)(x) = x^2+1.
Let f(x)=x^2 and g(x)=x+1. We are asked to find a.(f∘g)(x) and b. (g∘f)(x).
a. (f∘g)(x) = f(g(x)) = f(x+1) = (x+1)^2 = x^2+2x+1
b. (g∘f)(x) = g(f(x)) = g(x^2) = x^2+1
Therefore, the answers are a.(f∘g)(x) = x^2+2x+1 and b. (g∘f)(x) = x^2+1.
Learn more about (f∘g) (g∘f)
brainly.com/question/16976467
#SPJ11
Carrie had $60. as an allowance for the week. She spent 2/5 of it on snacks, and 1/4 on stickets and saved the remainder. How much money did she save?
Answer:
$ 21
Step-by-step explanation:
Money spent = (2/5) * 60 + (1/4) * 60
= 2*12 + 1*15
= 24 + 15
= $ 39
Money save = 60 - 39 = $ 21
(e) 21. Even though Mr. Gillespie is 89 years old and Mr. Matheson is 92 years old, they still
have jobs as product testers at High-Back Rocking Chairs Incorporated. If Mr. Gillespie
can rock a chair 28 times per minute, and Mr. Matheson can rock a chair 32 times per
minute, how many minutes will it take the two of them together to rock chairs a
(combined) total of 1,020 times?
Answer:
Together they rock chairs 60 times per minute. 1020/60=17 So it will take 17 min
The number of minutes that the check 1,020 rock chairs will be 17 minutes.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
If Mr. Gillespie can rock a chair 28 times per minute, and Mr. Matheson can rock a chair 32 times per minute.
Let 'x' be the number of minutes and 'y' be the total chair that they check together. Then the equation is given as,
28x + 32x = y
60x = y
The number of minutes that the check 1,020 chairs will be given as,
60x = 1,020
x = 1,020 / 60
x = 17
The number of minutes that the check 1,020 rock chairs will be 17 minutes.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ2
A florist is making flower arrangements for a party.
He uses purple and white flowers in a ratio of 3 purple
flowers to 1 white flower. How many flowers will he
need in order to make 30 identical arrangements?
Answer:
Step-by-step explanation:
3 purple : 1 white
30 arangement will need so
minimum will need (3+1)=4 flowers per 30 arangements =120 flowers
minimum will be (90 purple: 30 white)
Answer:
120 flowers
Step-by-step explanation:
3 purple: 1 white
We know he wants to make 30 arrangement so
1 x 30=30 white flowers
3 x 30=90 purple flowers
30 + 90=120
PLS HELP ME SOLVE THIS
2a × 3
Answer:
The answer will be 2a×3=6a
Analyzing Angle-Side Relationships
sin(A)=
sin(B) =
The trigonometric ratios for this problem are given as follows:
sin(A) = h/b.sin(B) = h/a.What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.Considering the height segment, the ratios for this problem are given as follows:
sin(A) = h/b.sin(B) = h/a.A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828
#SPJ1
nasa is conducting an experiment to find out the fraction of people who black out at g forces greater than 6 . in an earlier study, the population proportion was estimated to be 0.33 . how large a sample would be required in order to estimate the fraction of people who black out at 6 or more gs at the 85% confidence level with an error of at most 0.04 ? round your answer up to the next integer.
Since we need to round up to the next integer, the required sample size for this experiment is 284 people for the confidence level.
To find the required sample size for NASA's experiment, we can use the following formula for the sample size estimation in a proportion experiment:
\(n = (Z^2 * p * (1-p)) / E^2\)
where:
- n is the sample size
- Z is the z-score corresponding to the desired confidence level (85% in this case)
- p is the estimated population proportion (0.33)
- E is the margin of error (0.04)
First, we need to find the z-score for an 85% confidence level. We can look this up in a z-table, or use an online calculator. The z-score for an 85% confidence level is approximately 1.44.
Next, we can plug the values into the formula:
\(n = (1.44^2 * 0.33 * (1-0.33)) / 0.04^2\)
n ≈ (2.0736 * 0.33 * 0.67) / 0.0016
n ≈ 283.66
Since we need to round up to the next integer, the required sample size for this experiment is 284 people.
Learn more about confidence level here:
https://brainly.com/question/22851322
#SPJ11
Anyone????????????????????
Answer:
4
Step-by-step explanation:
You can use the Pythagorean theorem to find the length of the unknown side.
For that, let the unknown side be x.
Let us solve now.
2² + x² = ( 2√5)²
4 + x² = 2√5 × 2√5
4 + x² = 2 × 2 × √5 × √5
4 + x² = 4 × 5
4 + x² = 20
x² = 20 - 4
x² = 16
x = √16
x = 4
Hope this helps you :-)
Let me know if you have any other questions :-)
Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
What is the midpoint of the segment with the given endpoint?The midpoint formular used in finding the midpoint of a segment is expressed as;
( [x₁+x₂]/2 , [y₁+y₂]/2 )
Given the data in the question;
Point V(-2,5)
x₁ = -2y₁ = 5Point Z(3,-17)
x₂ = 3y₂ = -17Plug these values into the equation above.
( [x₁+x₂]/2 , [y₁+y₂]/2 )
( [(-2) + 3]/2 , [5 + (-17)]/2 )
( 1/2 , -12/2 )
( 1/2, -6 )
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
Learn more about the midpoint formular here: https://brainly.com/question/14687140
#SPJ1
Julie has 400 books to sell.
Each book is Fiction or Non-fiction.
The ratio of the number of Fiction books to the number of Non-fiction books is 15:10.
Each book has a normal price of £10.
Julie reduces the price of all the Non-fiction books to half price.
Julie sells all 400 books.
Work out the total amount of money Julie will receive.
Help for a kiss <3 ;3
Answer:
£3200
Step-by-step explanation:
It's not letting me upload the explanation in text so I took a screen shot and attached it:
I need the answer immediately!!!!!!
Can someone help me with this? Ive been stuck redoing this test for too long.
Answer:
A.
Step-by-step explanation:
Plz mark brainliest
Answer:
A. 26
Step-by-step explanation:
help me please,,,,,,,
Answer:
C
Step-by-step explanation:
\(x + y = 180 \\ 140 + x = 180 \\ x = 180 - 140 \\ x = 40\)
A small plane is flying at a speed of 200 miles per hour on a bearing of N55 ∘
E. The wind is blowing from west to east at 35 miles per hour. Approximate the ground speed of the plane to the nearest mile per hour. Approximate the true course of the plane to the nearest tenth of a degree.
The approximate true course of the plane to the nearest tenth of a degree is N35°. To approximate the ground speed of the plane, we need to consider the effect of the wind on its motion.
Since the wind is blowing from west to east, it will have an impact on the plane's speed and direction.
The ground speed of the plane is the vector sum of its airspeed (200 miles per hour) and the wind speed (35 miles per hour). Using vector addition, we can calculate the magnitude of the ground speed as follows:
Ground speed = sqrt(airspeed^2 + wind speed^2) = sqrt(200^2 + 35^2) ≈ 204 miles per hour (rounded to the nearest mile per hour).
Since the wind is blowing from west to east at 35 miles per hour, we can subtract this westward component from the eastward component of the plane's velocity:
118.32 - 35 ≈ 83.32 miles per hour.
To approximate the ground speed, we take the magnitude of the resulting vector:
sqrt((162.99)^2 + (83.32)^2) ≈ 186.27 miles per hour.
Therefore, the ground speed of the plane, rounded to the nearest mile per hour, is approximately 186 miles per hour.
To approximate the true course of the plane, we can use trigonometry. Since the plane is flying on a bearing of N55°E, we can consider the angle between the plane's heading (north) and the true course.
The angle between the plane's heading and the true course is the complement of the wind angle (90° - 55° = 35°).
For more such questions on Ground speed:
https://brainly.com/question/29761724
#SPJ8
Solve the following sub 1) find the value of p,ifp +5=3
Answer:
p+5=3
or,p=3-5
or,p=-2
the value of p=-2