Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answer:
the answer is 1 because the power of any no. 0 is always 1
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
I need help please. I need the the discount and selling price. Thank you
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
What is the area? Help meeeeee pls
10 points
question 5: a, b, and c.
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2
Answer:
1/2
Step-by-step explanation:
8x+2y=4
To find x-intercept say y=0 and solve the equation.
8x+2(0)=4
8x=4
x=4/8
x=1/2
Can someone pls help me
Answer: Hewo, there! your Answer is Below
18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24
Step-by-step explanation:
Hope this Helps you!!!
Have a great day!!!
Since everyone is in the math side of Brainly, i will just get attention here.
Can someone please help me? Im desperate ://
I have a question nobody is answering yet in the geography side of Brainly. Please find my acc and help me.
I n e e d this, thank you ://
Answer:
yes sir/ma'am omw
Step-by-step explanation:
have a great evening
what is the least common denominator of 1/2, 2/3, and 3/8
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
For the least common denominator, we have to find the smallest number that all fo them multiply to.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
8, 16, 24, 32
i think we can see something
24 is the most common number between them all, so the fractions will be
12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
PLEASE HELP ASAP ???
Answer:
-1
Step-by-step explanation:
1. Which studio charges more?
2. Raj wants to take 8 classes a month. Which studio is cheaper?
Answer:It would be the first class
Step-by-step explanation:
Because you are paying $70 per month and get a the class you want. and also i had the sames question also
just because the second class has smaller fees it also says that you have to pay more for every class.
If x3=125 and y3=8, what is the value of y−x
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
Please help I’ll mark you as brainliest if correct!
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
Find the surface area of the rectangular prism below.
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?
Answer:
Kylie drank more water than Valentina
Step-by-step explanation:
I know that Kylie drank more water than Valentina.
I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48
Valentina drank 24 fluid ounces.
48 is greater than 24, so Kylie drank more water than Valentina.
Is this linear, exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
Check the pic please
With steps please
Answer:
Angle BOD = 75⁰
Step-by-step explanation:
Answer attached...
Hope it helps :)
What is the area of this trapezoid?
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
HAiiiiiiii help T-T...
it will be helpful
Answer:
The popsicle stick is 11 and 6/10 inches and 4.9 centimeters.
The pencil is 7 and 3/10 inches and 2.14 centimeters.
The paperclip is 6 and 3/10 inches and 2.8 centimeters.
Step-by-step explanation:
Just look at where the red dotted lines are
hope this helps
The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500