Answer:
Option [A]
Step-by-step explanation:
Hi student! Let me help you out on this question.
_______________
First of all we need to use the distributive property and multiply 9 times x and 1.
\(\boldsymbol{9(x+1)=9\cdot x+9\cdot1=9x+9}\)
\(\boldsymbol{9x+9=25+x}\)
Subtract x from both sides
\(\boldsymbol{8x+9=25}\)
Subtract 9 from both sides
\(\boldsymbol{8x=16}\)
Next, divide both sides by 8
\(\boldsymbol{x=2}\)
Hope that this helped! Best wishes.
\(\star\boldsymbol{Reach\:far.\:Aim\:high.\:Dream\:big.}\)
-Greetings!-
_______________
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
A movie website offers one free movie viewing to anyone that registers. The total number of people that register can be modeled by the function f(x)=−27x^3−135x^2−72x+220, where x is the number of months passed since starting the website. The number of free movies available to choose from can be modeled as 3x+11. Write an expression that can be used to determine the average number of people that watch each free movie. Simplify your answer.
The expression that can be used to determine the average number of people that watch each free movie is -
y = - 81x⁴ - 405x³ - 216x² + 660x - 281x³ - 1485x² - 792x + 2420
What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + z
3x + y
Given is that a movie website offers one free movie viewing to anyone that registers. The total number of people that register can be modeled by the function f(x) = - 27x³ - 135x² - 72x + 220, where x is the number of months passed since starting the website. The number of free movies available to choose from can be modeled as 3x + 11.
The expression that can be used to determine the average number of people that watch each free movie can be written as -
y = (- 27x³ - 135x² - 72x + 220)(3x + 11)
y = 3x(- 27x³ - 135x² - 72x + 220) + 11(- 27x³ - 135x² - 72x + 220)
y = - 81x⁴ - 405x³ - 216x² + 660x - 281x³ - 1485x² - 792x + 2420
Therefore, the expression that can be used to determine the average number of people that watch each free movie is -
y = - 81x⁴ - 405x³ - 216x² + 660x - 281x³ - 1485x² - 792x + 2420
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What is the surface area?
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.03) The variable t represents the number of years since
2000. What is the projected annual percent of growth, and what should the company be worth in 2012?
Answer:
I do this program too, do you have any apps/websites that help with this program??
Step-by-step explanation:
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Which loan will result in the least amount of interest paid?
A. $10,000 at 2 percent interest compounded for four years
B. $10,000 at 2 percent simple interest for four years
C. $5,000 at 4 percent interest compounded for four year
D. $5,000 at 2 percent interest compounded for four years
Based on the calculations, option D, which is $5,000 at 2 percent interest compounded for four years, will result in the least amount of interest paid.
To determine which loan will result in the least amount of interest paid, we need to calculate the total interest for each option and compare them. Let's calculate the interest for each loan:
A. $10,000 at 2 percent interest compounded for four years:
To calculate the compound interest, we use the formula A = P(1 + r/n)^(nt), where A is the future value, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
For option A, the future value (A) can be calculated as:
A = 10,000(1 + 0.02/1)^(1*4) ≈ 10,816.65
The interest paid would be the difference between the future value and the principal:
Interest = 10,816.65 - 10,000 = 816.65
B. $10,000 at 2 percent simple interest for four years:
For simple interest, we use the formula I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the number of years.
For option B:
Interest = 10,000 * 0.02 * 4 = 800
C. $5,000 at 4 percent interest compounded for four years:
Using the compound interest formula:
A = 5,000(1 + 0.04/1)^(1*4) ≈ 5,897.77
Interest = 5,897.77 - 5,000 = 897.77
D. $5,000 at 2 percent interest compounded for four years:
Using the compound interest formula:
A = 5,000(1 + 0.02/1)^(1*4) ≈ 5,407.10
Interest = 5,407.10 - 5,000 = 407.10
Comparing the total interest paid for each option:
A: $816.65
B: $800
C: $897.77
D: $407.10
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How is a change in the circumference of a circle related to the diameter of a circle
Answer:
let's use c as circumference, d for diameter
lets say c increases, d is related to c, d will also increase
if c decreases, d will too.
Let's put in this way.
Pretend you're at a store,
The more you spend, the more points you get in their loyalty program
C is going to be the amount you spend
D will be how many points you get
Spend more, more points
spend less, less points
P.S
C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)
A moving company charges a flat rate of $150, and an additional $5 for each box. if a taxi service would charge no flat rate and $15 for each box, how many boxes would you need for it to be cheaper to use the moving company? (do not label your answer)
Answer:
16 boxes
Step-by-step explanation:
16x5=80+150=230>15x16=240
What’s the answer and how do you figure these out?
Pls answer this work sheet
Answer:
It is not letting me to download!!!
Step-by-step explanation:
You have $28, and you want to get half-dollar coins from the bank to give to children who
come into your store. What is the most you can get?
Answer:
56 half dollars
Step-by-step explanation:
A half dollar is 1/2 of a dollar so divide 28 by 1/2
28 / 1/2
Copy dot flip
28 * 2/1
56
56 half dollars
se the following information for questions 31-34: The average GPA for all college students in the United States as of 2006 was 3.11. We want to test to see if the GPA of students at Texas A&M is higher than the national average. Suppose we survey 47 randomly selected students at Texas A&M and the average GPA is 3.27, with a standard deviation of 0.54. Assuming all conditions are met, conduct a hypothesis test at the 0.01 significance level.
Which of the following below best describes the p-value?
a. p value = 0.0424
b. 0.02 < p-value < 0.025
c. p-value = 0.9788
d. 0.04 < p-value < 0.05
e. p-value = 0.0212
The best option which describes the p-value is 0.02 < p-value < 0.025.
We know that for the p-value method,
Z = (Sample Mean - Population Mean) / (standard deviation/sqrt (number of selections))
The average GPA for all the college students in the United States as of 2006 = 3.11 (Sample Mean)
The average GPA of randomly selected students at Texas A&M
= 3.27 (Population Mean)
Number of students randomly selected = 47
Standard deviation of them = 0.54
Therefore, Z = (3.27-3.11)/ (0.54/ sqrt(47)) = 2.031
Hence, by right tailed test,
p = 0.024
which implies, 0.02 < p-value < 0.025.
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Question 1 (5 points)
Saved
(01.01 LC)
Which of the following is a rational number? (5 points)
square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:
1)
square root of 2
2)
square root of 3
3)
square root of 4
4)
square root of 5
Answer:
Square root of 4 is ans
Step-by-step explanation:
Answer:
4) square root of 4
Step-by-step explanation:
Find the area of the composite figure. Round to the nearest tenth.
A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m
Answer:
Surface area of figure = 200.52 meter²
Step-by-step explanation:
Given:
Side of square cut = 12 meter
Diameter of semi circle = 12 meter
Find:
Surface area of figure
Computation:
Diameter of semi circle = 12 meter
Radius of semi circle = Diameter of semi circle / 2
Radius of semi circle = 12 / 2
Radius of semi circle = 6 meter
Surface area of figure = Surface area of square + Surface of cylinder
Surface area of figure = [Side x Side] + πr²/2
Surface area of figure = [12 x 12] + (3.14)(6)²/2
Surface area of figure = [144] + (3.14)(36)/2
Surface area of figure = 144 + 56.52
Surface area of figure = 200.52 meter²
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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2. The least common multiple (LCM) of 36 and a number Θ, is 36.
Which of the binomials below is a factor of this trinomial?
x^2 + 14x + 40
A. x + 4
B. x^2 + 4
C. x + 10
D. x - 9
Answer:
A , C
Step-by-step explanation:
x² + 14x + 40 = ( x + 4 )( x + 10 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
prove that there is a 1-1 correspondence between the set of all positive integers and the set of all rational numbers
A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.
By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.
Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.
Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.
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p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
The Red Cross regularly conducts Blood Drives throughout the country. They often conduct emergency drives when they are in need of rare blood types. Blood type AB-negative is the rarest type of blood. Only 0.6% of us have this type of blood. Suppose a random sample of 30 blood donors is obtained. What is the probability that at least 2 of them have blood type AB-negative?
a. 0.013
b. 0.999
c. 0.986
d. 0.014
e. 0.0008
Answer:
The probability is \( P( X \ge 2) = 0.986 \)
Step-by-step explanation:
From the question we are told that
The proportion people with Blood type AB-negative in the world is p = 0.006
The sample size is n = 30
Generally the distribution of people with Blood type AB-negative follows a binomial distribution
i.e
\(X \~ \ \ \ B(n , p)\)
and the probability distribution function for binomial distribution is
\(P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}\)
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 2 of them have blood type AB-negative is mathematically represented as
\( P( X \ge 2) = 1 - P( X < 2 ) \)
\( P( X \ge 2) = 1 - [P( X = 0 ) + P( X = 1 ) ] \)
=> \( P( X \ge 2) = 1 - [1 * 1 * 0.8348 ] + [30 * 0.006 * 0.83986 ] \)
=> \( P( X \ge 2) = 0.986 \)
8(1+2i)-(7-3i)=1+5i
What mistake did Daine make?
Answer:
He did not apply the distributive property correctly for 8(1 + 2i).
Step-by-step explanation:
7,030 divided by 3 the division algorithm ?
Answer:
4.267?????
i used a calculator....
A rectangular picture frame has a perimeter of 54 inches.
The height of the frame is 16 inches. What is the width of
the frame?
Answer:
140
Step-by-step explanation:
P = 2(L + w) = 2 x (54 + 16) = 140
Hope this helps :D
In a large population of students, 60% feel like they can do better in their math class. In a random sample of 5 students, what is the probability that at least 2 students feel like they can do better in their math class?
0.0870
0.2304
0.3174
0.6826
0.9130
The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.
How to calculate the probabilityTo find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:
P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)
Using the binomial probability formula, we can calculate:
P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024
P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680
Therefore,
P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296
Rounding this to four decimal places, we get: 0.9130
Therefore, the answer is option E: 0.9130.
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I'll give brainliest
The system of equations that shows the situation is option 1. L+J=29 L=2J-10
How to get the equationsThe question tells us that the summation of the age of Latifa and Jameel is 29
Let J = Jameel
L = Latifa
L + J = 29
The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted
L = 2J - 10
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What is the answer for B
what is 5 3/5 divided by 2 2/3
Answer:
Exact Form:
21/10
Decimal Form:
2.1
Mixed Number Form:
2 1/10
Step-by-step explanation: