Answer:
- q² - q + 72
Step-by-step explanation:
To express the given expression as a polynomial in standard form, we would first multiply the individual elements in one parenthesis with the elements in the second.
We would then rearrange the outcome and simplify it algebraically.
The arrange it in the order of the unknown variable.
As such,
(9+q)(8-q) = 9(8-q) +q(8-q)
= 72 -9q + 8q - q²
= 72 - q - q²
= - q² - q + 72
To form the expression (9+q)(8-q) into a polynomial in standard form, we multiply the terms using the distributive property to get -q² - q + 72.
The student has asked for the expansion of a binomial expression into polynomial form, in this case, expanding (9+q)(8-q). The process involves using the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply each term in the first binomial by each term in the second.
Expanding the binomials, we have:
First: 9 × 8 = 72
Outer: 9 × (-q) = -9q
Inner: q × 8 = 8q
Last: q × (-q) = -q²
Combining like terms (-9q and 8q) gives -q and then adding to the remaining terms, we have:
72 - q - q²
Reordering to get the polynomial in standard form (highest degree first), the result is:
-q² - q + 72
Does anyone know what this equation is?
96i+245=53
I just need to know what the variable is.
Answer:
i is the variable
Step-by-step explanation:
variable is non number
Anyone who can do this fast I will give brainliest to or however you spell it I’m being timed soo :)
Answer:
Closed circle on 0.96, closed circle on 0.94, closed circle on 0.92
Jenny wants to rent a truck for one day. She contacted two companies. Laguna’s Truck Rentals charges $20 plus $2 per mile. Salvatori’s Truck Rentals charges $3 per mile. After how many miles will the total cost for both companies be the same?
Answer:
6
Step-by-step explanation:
A website company charges $900 for developing a website and $150 for annual maintenance. What are the total fees for building a new website and maintaining it for 3 years?
A $1050
B $1250
C $1300
D $1350
Answer:
D. 1,350
Step-by-step explanation:
150x3= 450
450+900=1,350
There are 8 marbles in a jar. One of the marbles is clear. What is the decimal expansion of 1/8? please help me
Answer:
Step-by-step explanation: 1/8 = .125
move two decimals to right = 12.5
The decimal expansion of 1/8 is 0.125, which is also the probability of drawing a clear marble from a jar of eight marbles, if only one of those marbles is clear.
Explanation:The question asks for the decimal expansion of 1/8. To determine the decimal expansion of the fraction, you simply divide the numerator (the top number, which in this case is 1) by the denominator (the bottom number, which in this case is 8). When performed, 1 divided by 8 results in the decimal 0.125. This concept is similar to calculating probabilities in which the total number of outcomes is divided by the desired outcome. For example, in the case of the marbles in a jar, if one is clear and there are eight total, the probability of drawing a clear marble is also 1/8 or 0.125.
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what is the correct first step to solving the equation x^2=10-3x
Answer:
take the square root of both sides
Step-by-step explanation:
Answer:
The correct first step is to factor x^2-10+3x.
Step-by-step explanation:
x^2−10+3x=0 (move all the terms to one side)
(x−2)(x+5)=0 (factor)
x=2,−5 (solve for x)
Select the ordered pairs that satisfy the equation y=1/3x
Check all that apply
A. (4,6)
B. (6,2)
C. (3,6)
D. (15,5)
E. (-3,-1)
F (1,3)
Answer:
B, D, E
Step-by-step explanation:
I am assuming that the equation is y = [tex]\frac{1}{3}[/tex] * x and not y = [tex]\frac{1}{3x}[/tex].
Using y = (1/3)x, we can transpose the x, so that now we have y/x = 1/3.
Take note that the given options are in the format of (x, y). You can simply plug all the values, and whichever gave you a result of 1/3 is your answer.
B.) 2/6 = 1/3
D.) 5/15 = 1/3
E.) -1/-3 = 1/3
The ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1). Ordered pairs are verified by substituting the x-value into the equation to see if the resulting y-value matches the pair.
Explanation:To determine which ordered pairs satisfy the given linear equation y = 1/3x, we need to substitute the x-value of each ordered pair into the equation to see if the corresponding y-value is correct.
For pair A (4, 6), substitute x = 4 into the equation to see if y equals 6: 1/3 * 4 = 4/3 which does not equal 6, so A does not satisfy the equation.For pair B (6, 2), substitute x = 6: 1/3 * 6 = 6/3 which equals 2, so B does satisfy the equation.For pair C (3, 6), substitute x = 3: 1/3 * 3 = 3/3 which equals 1, not 6, so C does not satisfy the equation.For pair D (15, 5), substitute x = 15: 1/3 * 15 = 15/3 which equals 5, so D does satisfy the equation.For pair E (-3, -1), substitute x = -3: 1/3 * -3 = -3/3 which equals -1, so E does satisfy the equation.For pair F (1, 3), substitute x = 1: 1/3 * 1 = 1/3, which does not equal 3, so F does not satisfy the equation.So the ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1).
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The actual time it takes to cook a 10 pound turkey is a normally distributed. Suppose that a random sample of 10 pound turkey’s is taken.
Given that an average of 2.9 hours and a standard deviation of .24 hours was found for a sample of 19 turkeys, calculate a 95% confidence interval for the average cooking time of a 10 pound turkey.
Final answer:
To find the 95% confidence interval for the average cooking time of a 10 pound turkey given a sample mean of 2.9 hours and a standard deviation of 0.24 hours for 19 turkeys, we calculate using the formula and a t-score of 2.101, resulting in an interval between approximately 2.784 hours to 3.016 hours.
Explanation:
To calculate a 95% confidence interval for the average cooking time of a 10 pound turkey, given the sample mean (μm) is 2.9 hours and the sample standard deviation (s) is .24 hours for a sample size (n) of 19 turkeys, we use the formula for the confidence interval for a mean with unknown population standard deviation (since the population standard deviation is not provided).
The formula for the confidence interval is:
CI = μm ± (t* × (s / √n))
Where t* is the t-score from the t-distribution table corresponding to the desired confidence level (95% in this case) and n - 1 degrees of freedom (19 - 1 = 18).
For 95% confidence with 18 degrees of freedom, the t-score (t*) approximately equals 2.101.
So the confidence interval is calculated as:
CI = 2.9 ± (2.101 × (0.24 / √19))
CI = 2.9 ± (2.101 × 0.055)
CI = 2.9 ± 0.116
Thus, the 95% confidence interval for the average cooking time of a 10 pound turkey is approximately 2.784 hours to 3.016 hours.
The 95% confidence interval for the average cooking time of a 10-pound turkey is 2.792 hours, 3.008 hours
The 95% confidence interval for the average cooking time of a 10-pound turkey is given by: [tex]\[ \bar{x} \pm Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} \][/tex]
where:[tex]- \( \bar{x} \)[/tex] is the sample mean,
[tex]- \( Z_{\frac{\alpha}{2}} \)[/tex] is the Z-value corresponding to the desired confidence level,
[tex]- \( \sigma \)[/tex] is the population standard deviation,
[tex]- \( n \)[/tex] is the sample size.
Given:
[tex]- \( \bar{x} = 2.9 \)[/tex] hours,
[tex]- \( \sigma = 0.24 \)[/tex] hours,
[tex]- \( n = 19 \)[/tex],
- Confidence level = 95%.
First, we need to find the Z-value that corresponds to a 95% confidence level. For a 95% confidence interval, the alpha value is 0.05, and since the confidence interval is two-tailed, we divide this by 2 to get [tex]\( \frac{\alpha}{2} = 0.025 \)[/tex]. Looking up the Z-value for a two-tailed test with [tex]\( \alpha = 0.025 \)[/tex] in the standard normal distribution table (or using a Z-table calculator), we find that [tex]\( Z_{\frac{\alpha}{2}} = 1.96 \)[/tex].
Now we can calculate the margin of error (ME):
[tex]\[ ME = Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} = 1.96 \times \frac{0.24}{\sqrt{19}} \] \[ ME = 1.96 \times \frac{0.24}{\sqrt{19}} \approx 1.96 \times \frac{0.24}{4.359} \approx 1.96 \times 0.055 \approx 0.108 \][/tex]
Finally, we calculate the confidence interval:
[tex]\[ \text{Lower limit} = \bar{x} - ME = 2.9 - 0.108 \approx 2.792 \] \[ \text{Upper limit} = \bar{x} + ME = 2.9 + 0.108 \approx 3.008 \][/tex]
In LaTeX format, the confidence interval is: [tex]\[ \boxed{(2.792, 3.008)} \][/tex]
p(2) = 14 and p(-3) = 0. Write one factor of p(x) and explain how you know
Answer:
Step-by-step explanation:
Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.
According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3
A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? Please help i need asap!!!!!!!!!!!!!!!!!!
Answer:
0.3478
Step-by-step explanation:
Given:-
- The number of sophomore, S = 150
- The sophomore and had summer internship, x = 80
- The number of juniors, J = 200
- The junior and had summer internship, y = 150
Find:-
What is the probability that the person is a sophomore given that the person had a summer internship?
Solution:-
- The total sum of sophomore and junior students is N:
N = S + J
N = 150 + 200
N = 350 students.
- We will denote event A as random selection of sophomore from total.
- We will denote event B as random selection of student who had summer internship.
- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.
- The conditional probability can be written as:
P ( A / B ) = P ( A & B ) / P ( B )
Where,
P ( A & B ) : The probability the person is a sophomore and had a summer internship.
P ( B ): The probability that the person selected had a summer internship.
P ( A & B ) = x / N
= 80 / 350
= 0.22857143
P ( B ) = ( x + y ) / N
= ( 80 + 150 ) / 350 = 230/350
= 0.65714286
Therefore the required probability is:
P ( A / B ) = 0.22857143 / 0.65714286
= 0.3478 ... Answer
Answer:
8/23
Step-by-step explanation:
What is the pattern in the sequence below? 2, 5, 10, 17, 26, …
Answer:
It goes in order of odds.
Step-by-step explanation:
2+3=5
5+5=10
10+7=17
17+9=26
and so on.
Answer:
D) Add 1 to the term number squared
Step-by-step explanation:
i got it right on edg2021
How many triangles can you construct with the angle measures of 50, 70, and 100?
Answer:
0
Step-by-step explanation:
You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.
Hope this helps. (If it does, please mark me brainliest)
What is the equation of a circle with radius 4 and center (0,8)?
Answer:
x^2 + (y-8)^2 = 16
Step-by-step explanation:
1. Start with the formula for a circle:
(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius
2. Plug in values for the center coordinates and the radius:
(x-0)^2 + (y-8)^2 = 4^2
3. Simplify:
x^2 + (y-8)^2 = 16
Reflect
1. What If? If Alex had saved $333.34 a month for 3 months, how
much money would he have? If he had used his savings instead
of his credit card, how much less would his purchases have cost him?
2. How much less did Barry's loan, at an interest rate of 9%, cost than
Alex's loan at 21%?
Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan
Explanation:If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.
For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.
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Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan
If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.
For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.
Solve for x in the rectangle.
The solution is x= _ units.
The attachment is the rectangle
Consider the following circle with center at point O.
Circle O with points R, U, S and T on the circle. Segments SR and TU pass through point O. Segment RT is also shown in the diagram.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.
The radius of the circle are OR, OT, OS and OU.
The diagram, the diameter of the circle are TU and RS.
The chord of the circle is TR.
Given:
Given that the circle O has the points R, U, S, and T on it. Point O is traversed by segments SR and TU. The diagram also includes segment RT.
We must determine the circle's radii, diameter, and chord.
The circle's radii are as follows:
A circle's radius is the line that connects the circle's center to its perimeter.
The radius of the circle is represented by the letters OR, OT, OS, and OU in the diagram.
Circle circumference:
The diameter of a circle is the straight line that runs through its center and has its ends on the circle.
As a result of the diagram, the circle's diameters are TU and RS.
The circle's chord is:
A circle chord is a straight line with endpoints on the circle.
As a result of the diagram, the circle's chord is TR.
Rewrite the quadratic equation 2x squared plus 12x plus 1 equal y
Answer:16x+1 = y
Step-by-step explanation:
2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.
What two fractions are equivalent to 6/5
Answer:
12/10, 18/15?
Step-by-step explanation:
There are multiple fractions equivalent to it, if you keep multiplying forever, but the simplest are
1 1/5 and 12/10
In centimeters, what is the unknown length in this right triangle?
67cm
60 cm
Answer:
Since April 2020 wow
Step-by-step explanation:
what expressions that are equivalent to
-2(5x – 1) + 7(5x – 1) – 3(-52 + 1)?
Answer:
B chose b im sure
Step-by-step explanation:
Te exercise video started at 1:37pm. It
ended at 2:20pm. How long was the exercise
video?
Answer:
43 minutes.
I do not know if this question is a joke, but I hope this helps
Write 72 out of 96 in fraction form
Answer:
[tex]\frac{72}{96} =\frac{36}{48}=\frac{18}{24} =\frac{9}{12} =\frac{3}{4}[/tex]
Step-by-step explanation:
All are correct, but only the first is unmodified, and probably the one you want to use.
72 is out of the number, so it is on top.
The number is out of 96, so it is on the bottom.
which even definition corresponds to exactly one outcome of the experiment?
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
There is six sides die :
So, the number of outcomes will be
1,2,3,4,5,6.
There is a card with numbers :
1,2,3,4,5,6,7,8,9,10.
We need to find the event corresponds to exactly one outcome of the experiment.
According to options:
A)Both numbers are 5s.
So, there is exactly one event regarding both numbers are 5's. i.e. (5,5).
B) Neither number is a 5.
There is more than one event having not a 5.
Like (1,1),(1,2) ..........
C) The sum of the numbers is 3.
It can be (1,2),(2,1).
so, there is having two events regarding the sum of the numbers is 3.
D) One of the numbers is a 3.
It can be (3,1), (3,2), (3,4)......
So, we can see that there is more than one event corresponds to one of the numbers is a 3.
Hence, Option 'A' is correct.
Min knows that Pi times r = 9.42 centimeters. What would she need to do to find the area?
She could multiply 9.42 by 2.
She could multiply 9.42 by Pi.
She could divide 9.42 by 2 to find the radius, then square the radius.
She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.
Answer:
She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.
(Last option)
Step-by-step explanation:
We need the formula for the area of a circle:
A = πr²
Remember r² = r × r
So you could rewrite the formula like this:
A = π × r × r
If π × r = 9.42, then the area becomes:
A = 9.42 × r
"Then multiply 9.42 by the radius".
To find "r", divide 9.42 by π.
π × r = 9.42
r = 9.42/π
"Divide 9.42 by Pi to find the radius".
Answer: The answer is the last one
Step-by-step explanation:
Please Help with number 17. Please show the steps. Easy Points.
Answer:
w= 3.4
Step-by-step explanation:
.6+w=4
in order to solve for w you have to subtract.6 from both sides leaving w to equal 3.4
W=3.4
The following table shows the number of classes that
each teacher in the math department at Wilburton High
School teaches.
Teacher
Number of classes,
Mr. Linn
Mrs. Ross
Mr. Kelly
Ms. Moss
Mr. Jackson
Mrs. Jackson
Find the median number of classes.
Answer:
There are 6 classes we find the median by finding the middle number of the 3rd highest class and 4th highest class, even if this is a decimal.
6/3 = 3+ 0.5
The process would be different if some values are the same values already on the chart total of each class.
ie) 20 31 14 22 20 31
small data like this below you can rearrange
14 20 20 22 31 31
and see that 21 is the correct value
as there are even numbers, so we choose 20 , 22
and select the middle value = 21
Step-by-step explanation:
If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.
Answer:
The answer is in the photo ˚∆˚
Step-by-step explanation:
The down payment is the final payment you make when you are done paying off your loan. true or false?
Answer:
False
Step-by-step explanation:
The downpayment is the first payment you make, an initial deposit.
Please answer this question, I will give 5 stars and thanks, even if it is incorrect. If you have any questions, go to "Ask For Details".
Answer:
the theoretical probability is 1/5.
the experimental probability is 3/10.
chances are the experimental probobility will approach the theoretical probobility.
Step-by-step explanation:
since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.
the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.
last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.
There are 10 players and 7 chairs. How likely is it that I will win
this round?
Answer:
70%
Step-by-step explanation:
To solve this problem, you simply divide 7 by 10.
7 ÷ 10 = .7
.7 is the decimal form of 70%. This means that you have a 70% chance of winning this round.
What is 0.5 in as hundredths in fraction form
The decimal 0.5 is equal to the fraction 1/2. To find this answer, you first look at the place value of the decimal. 0.5 is read as 'five tenths'
Answer:
50/100
Step-by-step explanation:
.5 is also known as 1/2 so if you think about 100 50 is half of 1 hundred.