Answers
Answer:
A
Step-by-step explanation:
6/x* 5/(2x+1) = 30/ 2x^2+x
Related Questions
Phil Nelson deposited $35,000 at Wachovia Bank at 3.5% interest
compounded quarterly. How much money will be in this account at
the end of the year?
Answers
Answer:
$36,241.20
Step-by-step explanation:
Compounded Interest Rate Formula: A = P(1 + r/n)^nt
Since we are given P, r, n, and t, simply plug it into the formula:
A = 35000(1 + 0.035/4)⁴⁽¹⁾
A = 35000(1 + 0.00875)⁴
A = 35000(1.00875)⁴
A = 35000(1.03546)
A = 36241.2
Now that we have our linear regression model, let’s try to make a prediction for the sales given a new set of advertising budgets as follows: new.dat <- data.frame(TV=200, Radio=10, Newspaper=20) You are required to report the predicted sales as well as the lower and upper bound for the 95% prediction interval. What will you report?
Answers
Answer:
The predicted sales for the new set of advertising budgets is 14.
Step-by-step explanation:
The linear regression model is:
[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]
Compute the value of sales for:
TV = 200,
Radio = 10,
Newspaper = 20
[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]
[tex]=2.9389+0.0458\cdot(200)+0.1885\cdot(10)-0.0010\cdot(20)\\=2.9389+9.16+1.885-0.0002\\=13.9837\\\approx 14[/tex]
Thus, the predicted sales for the new set of advertising budgets is 14.
A sample of bacteria is decaying according to a half-life model. If the sample begins with 800 bacteria, and after 13 minutes there are 320 bacteria, after how many minutes will there be 15 bacteria remaining? Round your answer to the nearest whole number.
Answers
Answer:
56.42 minutes
Step-by-step explanation:
The initial sample= y0 = 800
After 13 minutes , amount = 320
Y= y0e-kt
320 = 800e-k(13)
320/800 = e-k13
0.4 = e-k13
In0.4 = -k13
-0.91629= -k13
0.07048= k
Y = 800e-0.07048t
Minutes when the bacterial present will be 15
15 = 800e-0.07048t
15/800= e-0.07048t
0.01875 = e-0.07048t
In 0.01875 = -0.07048t
-3.97656 = -0.07048t
-3.97656/-0.07048= t
56.42 = t
56.42 minutes
whats the answer ?? ill mark brainliest
Answers
www.g A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 79% are basketball players, and 14% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player
Answers
Answer:
84%
Step-by-step explanation:
The probability that the selected player is a football player, P(F)=19%
The probability that the selected player is a basketball player, P(B)=79%
The probability that the selected player play both football and basketball,
[tex]P(B \cap F)=14\%[/tex]
We want to determine the probability that a randomly chosen athlete is either a football player or a basketball player, [tex]P(B \cup F)[/tex]
In probability theory
[tex]P(B \cup F)=P(B)+P(F)-P(B \cap F)\\=79\%+19\%-14\%\\=84\%[/tex]
The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.
Which of the following is a secant on the circle below?
Answers
DE is secant on the circle below.
What is Secant?A secant line is a straight line that twice intersects a circle.
We have a diagram of circle.
As, Either a secant or a tangent will arise from the circle's junction.
A secant is a line that intersects a circle twice. The relationship between the circle and the line that intersects it is explained by this idea.
Again from the figure CA and CE intersect circle at B and D.
It can also represented that the AB and DE intersects at a point C.
So, the secant line that intersects the circle twice.
Learn more about Secant here:
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g A catering service offers 7 %E2%80%8b Appetizers, 9 main%E2%80%8B courses, and 5 desserts. A banquet committee is to select 2 %E2%80%8b Appetizers, 8 main%E2%80%8B courses, and 4 desserts. How many ways can this be%E2%80%8B done
Answers
Answer:
945 ways
Step-by-step explanation:
Total
Number of Appetizers = 7Number of main courses = 9Number of desserts =5Required Selection
Number of Appetizers = 2Number of main courses = 8Number of desserts =42 Appetizers out of 7 can be selected in [tex]^7C_2[/tex] ways
8 main courses out of 9 can be selected in [tex]^9C_8[/tex] ways
4 desserts out of 5 can be selected in [tex]^5C_4[/tex] ways
Therefore, the number of ways this can be done
[tex]=^7C_2 \times ^9C_8 \times ^5C_4[/tex]
=945 ways
A cylinder fits inside a square prism as shown. For every
cross section the ratio of the area of the circle to the
area of the square is on
since the area of the circle is the area of the square,
the volume of the cylinder equals
Cross section
o
o
o
o
the volume of the prism or (20(h) or turh.
the volume of the prism or (47)(h) or 2nuh.
the volume of the prism or (20)(h) or Ph.
the volume of the prism or (47)(h) or iPh.
kl *
Answers
Answer:
Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)
The complete question related to this found on brainly (ID: 4049983 and 4265826) is stated below:
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or πr^2 or π/4. Since the area of the circle is π/4 the area of the square, the volume of the cylinder equals
A) π/2(the volume of the prism) or π/2 (2r)(h) or πrh.
B) π/2 (the volume of the prism) or π/2 (4r2)(h) or 2πrh.
C) π/4(the volume of the prism) or π/4 (2r)(h) or π/4(r2h).
D) π/4(the volume of the prism) or π/4 (4r2)(h) or πr2h.
See attachment for diagram
Step-by-step explanation:
Area of the cross section in the cylinder
Area of circle = πr²
Area of the cross section in the square prism
Area of square = (side length)²
Here the side length = diameter
Diameter = 2×radius = 2r
Area of square = (2r)² = 4r²
Ratio of area of circle to area of square = πr²/4r² = π/4
Area of circle/area of square = π/4
Area of circle = π/4 × area of square
Area of circle = π/4 × 4r²
Volume of cylinder = area of circle × height
Volume = πr² ×h = πr²h
Volume of square prism = area of square × height = (2r)²h = 4r²h
Ratio of volume of cylinder to volume of square prism = πr²h/4r²h = π/4
Volume of cylinder/volume of square prism = π/4
Volume of cylinder = π/4 × volume of square prism = π/4 × 4r²h
= πr²h
Therefore Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)
Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x
Answers
Answer:
it has no solution.
hope it helps..
Answer:
D. the equation has infinitely many solutions
What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72° 60° 57.6°
Answers
Measure of an arc = ( intercepted angle/ full circle) x circumference
4 ft =( intercepted angle/360) x (2 x 10 x pi)
4 = intercepted angle /360 x 62.8
Divide both sides by 62.8
4/62.8 = intercepted angle/360
Multiply both sides by 360
Intercepted angle = (4/62.8) x 360
Angle = 22.93 degrees
Answer:
22.9 degrees
Step-by-step explanation:
The degree measure (in radians) can be found using the following formula.
Θ=S/r
where S is the arc length and r is the radius.
We know the arc length is 4 feet and the radius is 10 feet. Substitute the values into the formula.
Θ= 4/10
Θ= 0.4
The measure is 0.4 radians.
Convert radians to degrees using the following formula.
Θ * 180/π
We know that Θ= 0.4 , so we can substitute it in.
0.4 * 180/π
0.4 * 57.2957795
22.9183118
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 9 in the tenth place.
22.9
The angle measure is about 22.9 degrees.
To get from North to East, you walk 12 meters south and 16 meters east, as shown
in the diagram below. If you wanted to walk straight from North to East, what would
the distance be? Solve for x
Answers
Answer:
ur pito is to small
Step-by-step explanation:
it to little
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two exam scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third exam that will give an A? What about a B? [8
Answers
Answer:
1. It is not possible, so the student cannot make an A, since he cannot make 119 scores in the third test.
2. Minimum score to make an A in the test is 315 - (35 + 161) = 119
3. The student can make a B, if he can score 84 and above in the third test.
Step-by-step explanation:
1. To get an A, a student must score 90% (0.9) and above
≥ 90% of 350 ≥ 315 scores,
Total Scores in the homework = 35 ((7 x 2) + (8 x 2) + 5) or 70% (35/50)
Total Scores in the two tests = 161 (81 + 80) or 80.5% (161/200)
Total scores by the student in homework and the two tests so far = 196 (35 + 161).
However, he needs to score 315 (350 x 90%) to make an A.
Therefore, he is short by 119 (350 - 196), he cannot make an A.
2. To get a B, the student must score ≥ 80% or < 90%,
ideally, the student must score 280 (80% of 350) or above.
He would need to score 84 (280 - 196) in the third test to make 280 scores or 80% average of the total.
Therefore, he can make a B if he can score 84 in the third test.
if the insured insures a $6,000 in-network medical bill after the annual deductible of $2,500 has been paid how much will the health plan pay?
Answers
Answer:
The total money the health plan will pay is $8500
Step-by-step explanation:
In-network medical bill of the insured to insure = $6000
Annual deductible = $2500
Total amount = $2500 + 6000
Total amount =$8500
The amount the insurance company will pay on the health plan if anything goes wrong will be the total money .
The total money the health plan will pay is $8500
2x + (-2x) when simplified is: ?
Answers
Answer:
Hello!
___________________
2x + (-2x) = 0
Step-by-step explanation: Simplify the expression.
Hope this helped you!
Which statement verifies that f(x) and g(x) are inverses of each other? f(g(x)) = x f(g(x)) = x and g(f(x)) = –x f(g(x)) = g(f(x)) f(g(x)) = x and g(f(x)) = x
Answers
Answer:
D
Step-by-step explanation:
ED2020
f(x) and g(x) are inverses of each other can be depicted by -
f(g(x)) = x and g(f(x)) = x
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given are the expressions that depict that f(x) and g(x) are inverses of each other.
We have f(x) and g(x) are inverses of each other.
The expressions are -
f(g(x)) = x and g(f(x)) = x
Therefore, f(x) and g(x) are inverses of each other can be depicted by -
f(g(x)) = x and g(f(x)) = x
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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I need help plz someone help me solved this problem I need help ASAP! I will mark you as brainiest!
Answers
Answer: (a) [tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]
(b) A = $1680.67
(c) t = 9.99 years
(d) A = $1689.85
Step-by-step explanation:
[tex]A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}[/tex] where
A is the amount accrued (balance)P is the principal (original/initial amount)r is the interest rate (convert to a decimal)n is the number of times compounded per yeart is the number of yearsa) Given: P = 900, r = 7% = 0.07, n = quarterly = 4
[tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]
b) Given: P = 900, r = 7% = 0.07, n = quarterly = 4, t = 9
[tex]A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4(9)}\\\\\\A = 900\bigg(1+\dfrac{0.07}{4}\bigg)^{36}[/tex]
A = 1680.67
c) Given: A = 1800, P = 900, r = 7% = 0.07, n = quarterly = 4
[tex]1800=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\2=\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2=ln\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2 = 4t\ ln\bigg(1+\dfrac{0.07}{4}\bigg)\\\\\\\dfrac{ln\ 2}{4\ ln\bigg(1+\dfrac{0.07}{4}\bigg)}=t\\\\\\\bold{t=9.99}[/tex]
d) [tex]A=Pe^{rt}[/tex]
Given: P = 900, r = 7% = 0.07, t = 9
[tex]A=900e^{0.07(9)}\\\\\\A=900e^{.63}\\\\\\\bold{A=1689.85}[/tex]
[PLEASE HELP] Each of these statements describe a transformation of a graph of y = x, The which of the statements correctly describe the graph of y =x + 7???
Answers
Answer:
B
Step-by-step explanation:
Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.
Answer:
The answer is B
Step-by-step explanation:
well the equation of a line is : y = mx + b
in this question the equation is y = x
so the line y = x +7 will be 7 units up than y = x
No idea how to graph this
Answers
Answer:
you can write up to 3 coordinate but you can also continue also .you have to remember to keep the value of variable on right side before computing the value of variable on right side to get good answer.
Find the value of x geometry
Answers
Answer:
x = 22
Step-by-step explanation:
Since the the 2 bisectors are equal, that means the chords are also equal. Since bisector splits into 2 equal parts, 11 + 11 equals 22
What's the size of 2ABC shown in the above figure?
O A. 20°
B. 35°
O C. 140°
O D. 70°
Answers
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~`
Your answer would be (B) 35.
Step-by-step explanation:
m∠ABC = 1/2(measure of arc AC)
m∠ABC = 1/2(70)
m∠ABC = 35°
(inscribed angle formula)
Hope this helped you. Brainliest would be nice!
Not sure how I would find the quadrant
Answers
This is how you find quadrants:
What is the Square root of 42?
Answers
Answer:
the square root is 6.48
Answer:
≈6.48
Step-by-step explanation:
[tex]\sqrt{42}=\\6.4807407...[/tex]
If you multiply it by itself, it will equal 42. (Or you can just use a calculator)
On a piece of paper, graph f(x) = 3^x Then determine which answer choice
matches the graph you drew.
Answers
Answer: Make a chart of x values and corresponding outputs as y-values
Plot the points, draw the curve
Step-by-step explanation: Example of chart
x . y
-1 . 1/9
0 1
1 . 3
2 . 9
3 . 27
Once you do this you will have something similar to graph a or b.
It is difficult to tell from the photo; which graphed curve passes through (2,9) ?
The graph of the given exponential function [tex]\rm f(x) = 3^x[/tex] is attached below and this can be determined by using the given data.
Given :
[tex]\rm f(x) = 3^x[/tex]
The following steps can be used in order to determine the correct choice that matches the graph you drew:
Step 1 - Write the given exponential function.
[tex]\rm f(x) = 3^x[/tex]
Step 2 - The domain of the function [tex]\rm f(x) = 3^x[/tex] is [tex](-\infty,\infty)[/tex].
Step 3 - The range of the function [tex]\rm f(x) = 3^x[/tex] is [tex](0,\infty)[/tex].
Therefore, the correct option is B) and the graph of the function [tex]\rm f(x) = 3^x[/tex] is attached below.
For more information, refer to the link given below:
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A number increased by negative eight is equal to fourteen. Which equation could be used to find the number?
Answers
Answer:
-8 + x = 14
Number = 22
Step-by-step explanation:
Let x be the number.
First, we know that we'll be using addition to find the number because the problem says "increased" which means add or addition.
Next, We also know that the starting number is -8 and the answer to the equation is 14.
That's why the equation is -8 (starting number) + x = 14 (ending number)
Therefore the answer would be: -8 + x = 14
Question 4
If 20 percent of a certain number is 16, what is 25 percent of that number?
Answers
Answer:
the answer is 40.
hope u get it...
The price of a vase was increased by 10% to £22.What was the price before the increase
Answers
Answer: £20.
Step-by-step explanation:
Let the old price = £x
Percent increase. = 10%
Increment. = 10% of £x
= 10x/100
Now new price = £22
To determine the old price we have
x + 10x/100. = 22
We now multiply everything by 100 to make it a linear expression
100x + 10x = 2200
110x = 2200, therefore
x. = 2200/110
= £20
Therefore, the price before the increase. = £20.
Which facts are true for the graph of the function below F(x) = log0.521
Answers
Answer:
A,D,C,and, F
Step-by-step explanation:
The given function is:
The statement A is true. Substituting x = 1 in given expression we get 0. So, (1,0) is the x-intercept of the function.
The statement B is false. There is no y-intercept of the function.
The statement C is false. The base of log is less than 1, so it will be a decreasing function.
The statement D is true.
The statement E if true. Range of the log function is set of all Real numbers.
The statement F is true. The given log function is defined for values of x greater than 0.
So the correct options are A, D, E and F
Answer:
A,D,E,and, F
(i submitted the question before i looked at the answers, so i tried my best to remember)
Step-by-step explanation:
A: (1,0) is the x-intercept of the function
B: (i dont remember the numbers) is the y-intercept of the function
C: its increasing
D: its decreasing
E: the function is a set of all real numbers.
F: x<0
So the correct options are A, D, E and F
A rookie quarterback is negotiating his first NFL contract.His opportunity cost is 10%. He has been offered three possible 4-year contracts. Payments are guaranteed, and they would be made at the end of each year. Terms of each contract are as follows:________.
1 2 3 4
Contract 1 $3,000,000 $3,000,000 $3,000,000 $3,000,000
Contract 2 $2,000,000 $3,000,000 $4,000,000 $5,000,000
Contract 3 $7,000,000 $1,000,000 $1,000,000 $1,000,000
As his advisor, which contract would you recommend that he accept?
Answers
Answer:
He should accept contract 2 because it has a higher present value.
Step-by-step explanation:
we need to find the present value of each contract:
Contract 1 = $3,000,000/1.1 + $3,000,000/1.1² + $3,000,000/1.1³ + $3,000,000/1.1⁴ = $2,727,273 + $2,479,339 + $2,253,944 + $2,049,040 = $9,509,596
Contract 2 $2,000,000/1.1 + $3,000,000/1.1² $4,000,000/1.1³ + $5,000,000 /1.1⁴ = $1,818,182 + $2,479,339 + $3,005,259 + $3,415,067 = $10,717,847
Contract 3 $7,000,000/1.1 + $1,000,000/1.1² + $1,000,000/1.1³ + $1,000,000/1.1⁴ = $6,363,636 + $826,446 + $751,315 + $683,013 = $8,624,410
How do you write 0.888 in scientific notation? ____× 10^_____
Answers
Answer:
It's written as
[tex]8.88 \times {10}^{ - 1} [/tex]
Hope this helps you
Answer:
8.88 * 10 ^-1
Step-by-step explanation:
.888
Move the decimal one place to the right so we have one nonzero digit to the left of the decimal
8.88
The exponent is negative since we moved the decimal to the right and the exponent is 1 since we moved one place
8.88 * 10 ^-1
Which is a possible paycheck deduction? Select all that apply.
commission
federal income tax
health insurance premium
overtime hours
state income tax
Answers
Answer:
Federal income taxes, health insurance premium, state income tax
Step-by-step explanation:
Commission may be a bonus from a sale you made and overtime hours are extra hours over 40.00 that you worked during the week
2 things are certain in life death and taxes