X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.
Answer:
answer is in the picture above
Answer:
remainder: 504
Step-by-step explanation:
x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)
a = -9
(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504 ... long division
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
One fourth of the 120 students took wood shop. How many students did not take wood shop?
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:
[tex]\frac{3}{4}(120)[/tex]
Find common factors between 4 and 120 to simplify, so 4.
[tex]\frac{3}{1} (30)[/tex]
Now multiple across to get 90.
Select the point that is a solution to the system of inequalities.
y< x2 + 3
y=x²-4
A. (-2,-4)
B. (0,4)
C. (1,2)
D. (4,0)
Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.
Answer and Step-by-step explanation:
[tex]\frac{2}{3}[/tex] × 12 can also be written as [tex]\frac{2 * 12 }{3}[/tex] because the 12 is multiplying the numerator of the fraction.
12 can also be written as [tex]\frac{12}{1}[/tex].
When we solve, this is what is happening:
[tex]\frac{2}{3}[/tex] × [tex]\frac{12}{1}[/tex]
The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.
#teamtrees #PAW (Plant And Water)
Answer:
I don't know, other than because it's the same thing and it just can.
Step-by-step explanation:
2 x 12 ÷ 3 is longer when written out but it is simpler to solve.
A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.
Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:
Late On-time
X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12−$12minus, dollar sign, 12 \$8$8dollar sign, 8
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90
Given that \mu_X=\$6μ
X
=$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_Xσ
X
sigma, start subscript, X, end subscript.
Round your answer to two decimal places.
\sigma_X=σ
X
=sigma, start subscript, X, end subscript, equals
dollars
The standard deviation for the given probability distribution is;
σₓ = $6
Probability Distribution
The image for the probability distribution is missing and so i have attached it.
We are given;
Expected Value which is the mean as;
µₓ = $6
Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;
Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36
Thus, standard deviation of the random X is;
σₓ = √36
σₓ = $6
Read more about probability distribution at; https://brainly.com/question/4630765
Please helppp!!!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
The perimeter is 27 km
The area is 21 km^2
Step-by-step explanation:
The perimeter of a triangle will just be all of the sides added up.
12 + 9 + 6 = 27 km
The area of a triangle is:
A = 1/2 * base * height
The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:
A = 1/2 * 6 * 7
A = 3 * 7
A = 21 km^2
Find an expression which represents the sum of (8x+10y) and (-4x-3y) in simplest form
Answer:
An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.
Step-by-step explanation:
Find the volume of the composite solid shown in figure
Answer:
113.14cm^3
36π cm^3
Step-by-step explanation:
the composite solid is made up of a cylinder and a hemisphere
volume of solid = volume of cylinder + volume of hemisphere
volume of a cylinder = nr^2h
n = 22/7
(22/7) x (3^2) x 2 = 56.57 cm^3
or in terms of pi = 18π
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x (3^3) = 56.57 cm^3
or in terms of pi = 18π
volume of solid = 56.57 cm^3 x 2 = 113.14cm^3
or 18π x 2 = 36π cm^3
56.57
The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?
Answer:
The wavelength of the second pitch is 12.23 feet.
Step-by-step explanation:
Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:
321 = 10.5
374 = X
374 x 10.5 / 321 = X
3927/321 = X
12.23 = X
Therefore, the wavelength of the second pitch is 12.23 feet.
which angle corresponds to <OJH
Answer:
line parallel to OJ or JH
When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply
Select the correct answer. Which of these is a key feature of an experimental study? A. The treatment in the experiment should be simple enough for each individual in the experimental group to understand. B. The treatment in the experiment must vary for each individual in the experimental group. C. The treatment in the experiment must be applied to each of the individuals in the experimental group. D. The treatment in the experiment should be short so that each individual is tested quickly.
Answer:
C. The treatment in the experiment must be applied to each of the individuals in the experimental group.
Step-by-step explanation:
Experimental studies are the studies in which the researcher introduced the intervention and the impact of the study. It usually randomized.
Moreover, it must be applied for each and every individual in the experimental group as the variables & conditions would be vary and the same would be applied so that the actual results may be concluded
Hence, the option c is correct
what are the lengths of side a and b
Answer:
solution given:
∆ABC is a right angled isosceles triangle
perpendicular [p]=base [b]=a=b
hypotenuse [h]=3ft
By using Pythagoras law
h²=p²+b²
3²=a²+a²
9=2a²
a=√(9/2)=[tex] \frac{3 \sqrt{2} }{2} [/tex]
so
a=b=[tex] \frac{3 \sqrt{2} }{2} [/tex]
A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.
Answer:
Private Jet = 181 mph Commercial Jet = 362 mph
Step-by-step explanation:
private jet travels distance D in 14 hours
commercial jet travels distance D in 7 hours
so commercial jet speed is twice the private jet
y = 2x
commercial jet speed = 3 · (private jet speed) - 181 mph
y = 3x - 181
2x = 3x - 181
2x - 3x = -181
-x = -181
x = 181
y = 2x
y = 362
362 = 3(181) - 181
What is the value of -2(x + 5)?
A. x + 10
B. x - 10
C. -2x - 2
D. -2x - 10
Answer:
D
Step-by-step explanation:
Use the distributive property to multiply both x and 5 by -2:
-2(x + 5) = -2x - 10
Answer:
[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex] - 2(x + 5) \\ = - 2x - 10[/tex]
✏ D. -2x - 10 is the correct answer.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
PLEASE HELP Find
y, such that ABC ~ DEF.
Answer:
[tex]y =12[/tex]
Step-by-step explanation:
Given
ABC similar to DEF
Required
Find y
To do this, we make use of the following equivalent ratios.
[tex]AB : AC = DE : DF[/tex]
Using the values in the attachment, we have:
[tex]9 : 18 = 6 : y[/tex]
Express as fraction
[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]
[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]
Solve for y
[tex]y = 6 * 2[/tex]
[tex]y =12[/tex]
Someone help me with the question please
Answer:
1. 1/6
2. 10/36
3. 1/12
Step-by-step explanation:
Answer:
What question do you need help with?
Step-by-step explanation:
The stadium has fixed expenses of $10,000 per event. Last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. According to the accountant, these events earned a total of $482,000 in revenue. What was the stadium's profit margin last month?
Answer:
267,500
Step-by-step explanation:
10,000 × 3 = 30,000
30,000 + 72,000 + 47,500 + 65,000 = 214,500
482,000 - 214,500 =267,500
The stadium's profit margin last month was 267,500 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that stadium has fixed expenses of $10,000 per event.
Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively
Thus,
10,000 × 3 = 30,000
Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500
According to the accountant, total amount these event earned ;
$482,000 in revenue.
So,
482,000 - 214,500 =267,500
Hence, the stadium's profit margin last month was 267,500 dollars.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ6
Given a polynomial f(x), if (x + 7) is a factor, what else must be true
Answer:
Step-by-step explanation:
at x = -7, the polynomail function f(x) has a zero (x-intercept)
Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero.
Answer:
[tex]\frac{x}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Required
Solve
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Change the division to multiplication
[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]
Apply difference of 2 squares
[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]
Cancel out x - 3
[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]
Factorize 9x + 27
[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]
Cancel out x + 3
[tex]\frac{1}{9} * \frac{x}{1}[/tex]
Finally, this gives:
[tex]\frac{x}{9}[/tex]
(3-97)(3+9)=
(Simplify your answer. Type your answer in the form a +bi.)
Answer:
-1128
Step-by-step explanation:
Can you guys help? Last one plzzzz
Answer:
Step-by-step explanation:
Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?
Answer:
123 inches³
Step-by-step explanation:
Hi there!
Objective: Find the volume of the cone
We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.
Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the cone and h is its height
Plug in the known information (r=3 and h=13)
[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]
Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.
I hope this helps!
The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)
A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32
Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)
a)
b)
c)
d)
e)
f)
Answer:
Step-by-step explanation:
a)
m = y2-y1 / x2-x1
P1 = (3,-4) as (x1,y1)
P2= (5,6) as (x2,y2)
m = 6-(-4) / 5 - 3)
m = 6+4 / 2
m = 10 / 2
m = 5
b)
m = y2-y1 / x2-x1
P1 = (5,-3) as (x1,y1)
P2= (5,6) as (x2,y2)
m= 6-(-3) / 5-5
m = 6+3 / 0 ( the world blows up when you divide by zero :0 undefined )
c)
m = y2-y1 / x2-x1
P1 = (1,-1) as (x1,y1)
P2= (8,-8) as (x2,y2)
m = -8-(-1) / 8-1
m = -8+1 / 7
m = -7 / 7
m = -1
d)
m = y2-y1 / x2-x1
P1 = (-2.8,2) as (x1,y1)
P2= (-1.2,2) as (x2,y2)
m = 2-2 / a number 0 because the numerator is 0 and there is a number in the denominator
e)
m = y2-y1 / x2-x1
P1 = (c,d) as (x1,y1)
P2= (e,f) as (x2,y2)
m = f-d / e-c that's all you can do until we're given those variables
f)
m = y2-y1 / x2-x1
P1 = (0,c) as (x1,y1)
P2= (d,0) as (x2,y2)
m = 0-c / d-0
m = -c /d
1. If the spinner below is spun once, find each
probability.
Answer:
I don't know what kind of questions is this but first you need to show your spinner
Plzz help!!!!
Which set of ordered pairs corresponds to the graph?
Answer:
Option 3rd is correct
Step-by-step explanation:
(1,-6),(2,-4),(2,-2),(4,-2),(6,0)
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?
Answer:
hm
Step-by-step explanation:
Answer:
N would represent days
Step-by-step explanation:
the question says at the end of the day
An elephant can travel 30 km in 2 hours. How fast is the elephant moving?