Answer:
0 and -1
Step-by-step explanation:
The polynomial remainder theorem states that if [tex]P(x)[/tex] is divided by [tex]x-a[/tex], then the remainder is [tex]P(a)[/tex].
Question 1:
[tex]P(1)=0[/tex]
Question 2:
[tex]P(-2)=1[/tex]
I'm. not the best at finding angles sadly
Answer:
obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000
PLZ HELP ASAP I WILL MARK BRANLIEST!!!
Answer:
Top left
Step-by-step explanation:
It’s the only one with a data point very far from the rest
Answer:
its diff for all of is but it deff right
Step-by-step explanation:
k12 right
In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 l/h. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 4 h. You can assume that the initial concentration of solids in the tank
Answer:
[tex]Concentration = 8.26kg/m^3[/tex]
Step-by-step explanation:
Given
[tex]V = 440000L[/tex] --- volume of tank
[tex]m = 10,000 kg[/tex] --- solid mass
[tex]r = 40000L/hr[/tex] --- outflow rate
Required
Determine the concentration at the end of 4 hours
First, calculate the amount of liquid that has been replaced at the end of the 4 hours.
[tex]Amount = r * Time[/tex]
[tex]Amount = 40000L/hr * 4hr[/tex]
[tex]Amount = 40000L * 4[/tex]
[tex]Amount = 160000L[/tex]
This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced
Calculate the ratio of the liquid replaced.
[tex]Ratio = \frac{Amount}{Volume}[/tex]
[tex]Ratio = \frac{160000L}{440000L}[/tex]
[tex]Ratio = \frac{16}{44}[/tex]
[tex]Ratio = \frac{4}{11}[/tex]
Next, calculate the amount of solid left.
[tex]Amount (Solid)= Ratio * m[/tex]
[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]
[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]
[tex]Amount (Solid)= 3636kg[/tex]
Lastly, the concentration is calculated as:
[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]
[tex]Concentration = \frac{3636kg}{440000L}[/tex]
Convert L to cubic meters
[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]
[tex]Concentration = \frac{3636kg}{440m^3}[/tex]
[tex]Concentration = 8.26kg/m^3[/tex]
3.
Andre and Molly have a tree fort that consists of two rectangular rooms,
The upper level has a length of 5 feet, a width of 3 feet, and a helght
of 6 feet. The lower level has a length of 6 feet, a width of 5 feet, and a
height of 8 feet.
What is the combined volume of the two levels of the tree fort?
33 cubic feet
150 cubic feet
240 cubic feet
330 cubic feet
Help!
Answer:
330 cubic feet
Step-by-step explanation:
The formula for Volume is L (length) x W (width) x H (Hight)
So all we have to do is multiply the numbers for each floor and then add them together.
5 x 3 = 15 15 x 6 = 90
6 x 5 = 30 30 x 8 = 240
240 + 90 = 330
Now add you cubic feet since volume is cubed.
330 cubed feet
Thus, your answer is 330 cubed feet.
Hope this helps! :)
What is 5% as a fraction?
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.
plz anser will give branlist
Answer:
A
Step-by-step explanation:
First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
The students in a typing class have a mean typing rate of 38.2 words per minute. Five randomly selected students have typing rates of 32, 28, 41, 38, and 45 words per minute.
What is the value of μ and x¯ ?
μ = 38.2 wpm, x¯ = 38.0 wpm
μ = 36.8 wpm, x¯ = 38.2 wpm
μ = 38.2 wpm, x¯ = 36.8 wpm
μ = 38.0 wpm, x¯ = 38.2 wpm
Answer:
µ = 38.2 wpm, = 36.8 wpm
michelle has four credit cards with the balances and interest rates listed below. She wants to pay off her credit cards one at a time, based on the interest rate. In which order should Michelle pay off her credit cards
Answer:
3,2,1,4
Step-by-step explanation:
Use the distance that these 9 students skimmer cars traveled in inches to calculate the MIDDLE 50%
468, 376, 540, 198, 230, 531, 281, 426, 346
a. 458 - 353.3
b. 255.5 - 499.5
c. 281 - 468
d. 230 - 531
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
Which of the following describes a triangle that has two angles with measures 30 degrees and 50 degrees?
A) acute
B) equilateral
C) obtuse
E) right
I think that C is the correct answer
Answer:
C. obtuse is absolutely right
help plssssssssssssssssss
what is 0.065 rounded to the nearest tenths?
please help :)
Answer:
Step-by-step explanation:
0.1 ;-;
Please help me with this ASAP Don’t ANSWER With links please ****
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
Find P (Horse Female) Hint: P(A and B)
P(B)
Animals on Farm
Male. Female
Cow 1. 5 6
Sheep 4 3 7 [?]
Horse 2 214
Chicken 2
3
8
14. 26
-13 15
Piel 5
=========================================================
Explanation:
The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.
There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13
Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.
P (Horse | Female) = 1/13
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What is conditional probability?"It is the probability of an event occurring given that another event has already occurred."
Formula for conditional probability:The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
We need to find P (Horse | Female)
From given table we can observe that there are 40 animals on farm.
⇒ n(S) = 40
First we find the probability of female animals on farm.
⇒ number of female animals = 26
Using the formula of probability,
⇒ P(Female) = n(Female)/n(S)
⇒ P(Female) = 26/40
First we find the probability of female horse [P(Horse and Female)] animals on farm.
⇒ n(Horse and Female) = 2
Using the formula of probability,
⇒ P(Horse and Female) = n(Horse and Female) / n(S)
⇒ P(Horse and Female) = 2/40
Using the formula of conditional probability,
⇒ P (Horse | Female) = P (Horse and Female) / P(Female)
⇒ P (Horse | Female) = (2/40) / (26/40)
⇒ P (Horse | Female) = 2/26
⇒ P (Horse | Female) = 1/13
Therefore, P (Horse | Female) = 1/13
Learn more about probability here:
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5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
https://brainly.com/question/17161065
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
help please i am confused
Answer:
-50
Step-by-step explanation:
Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
Which images below are scalene triangles?
Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Triangles C and D are scalene triangles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle A has three sides each measuring 7 units.
Triangle B has two sides that are equal in length, and the base is longer than the two sides.
Triangle C has no sides of equal length.
Triangle D has sides of length seven, three, and six.
Now, We know that;
A scalene triangle have different sides.
Hence, Triangles C and D are scalene triangles.
Thus, We get;
Triangles C and D are scalene triangles.
Learn more about the triangle visit;
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A group of people move a large box that weighs 90 Newtons, 10 meters in 20 seconds, how much power was used?
Answer:
P = 45 W
Step-by-step explanation:
Given that,
The weight of a box, W = 90 N
Distance moved, d = 10 m
Time, t = 20 s
We need to find the amount of power used. The rate of doing work is called power It can be calculated as the formula,
[tex]P=\dfrac{W}{t}\\\\P=\dfrac{Fd}{t}\\\\P=\dfrac{90\times 10}{20}\\\\P=45\ W[/tex]
So, 45 W of power was used.
someone plzz help mee!!!!
Answer:
-4 is the opposite of -1/4
BODMAS QUESTIONS
10-4×0+3÷3
Answer: 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
quería saber el problema este q no me se la respuesta
3 1/4+3/8equals to what?
Answer:
6 5/8
Step-by-step explanation:
Answer:
it equals 29/8 you can also write it as 3 5/8
Step-by-step explanation:
first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps
so, this is in math and, I NEED HELP!!!!!. could you first multiply the width by the height? Explain.
Answer:
Explain what?? May I ask
What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3
answer d
Step-by-step explanation:
because I learned this
Answer: 144 pi units^3
Step-by-step explanation:
Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.