Help please.....its due today
Use the Rational Root Theorem to list all of the possible Rational Zeros of the following equation: t^(3)-13t^(2)+65t-105=0
The possible rational zeros of the the given equation are ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.
The given equation is (t)^3-13(t)^2+65t-105=0
According to Rational Root theorem, the possible rational zeros are the divisors of the constant term and leading coefficient that can be expressed in the form p/q.
The leading coefficient of the given equation = 1
It's divisors (q) = ±1
The constant term = 105
It's divisors (p) = ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105
The possible rational zeros of the given equation in the p/q form: ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.
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When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.
A. two eighths
B. six eighths
C. two sevenths
D. six sevenths
Probability is a metric used to express the possibility or chance that a particular event will occur. Two eighths of a vowel will be drawn at random. Option A is correct.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The formula for calculating probability is expressed as:
Probability = expected/total outcome
If the given a set of cards laying face down that spell P, E, R, C, E, N, T, S, then the total outcome is:
n(S) =8
If a vowel is selected randomly, hence the expected outcome is;
E = {E, E}
n(E) = 2
P(vowel) = 2/8
Hence the probability of randomly drawing a vowel is two eighths
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Answer: A: 2/8 (Two Eighths)
Step-by-step explanation:
One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a) Andrew did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded
Answer:
\(Probability = \frac{1}{792}\)
Step-by-step explanation:
Given
\(Questions = 12\)
\(Selection = 5\)
Required
Probability of grading the selected 5 by Andrew
First, we need to determine the total number of selections.
This is calculated as: \(^{12}C_{5}\)
Solving further:
\(^{12}C_{5} = \frac{12!}{(12-5)!5!}\)
\(^{12}C_{5} = \frac{12!}{7!5!}\)
\(^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}\)
\(^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}\)
\(^{12}C_{5} = \frac{95040}{120}\)
\(^{12}C_{5} =792\)
There is only 1 for Andrew's question selection.
So, the required probability is:
\(Probability = \frac{1}{792}\)
1.A bag contains five black and six white balls.
What is the probability of picking a white ball
is it the possible answers
a.1/11
b.6/11
c.1/5
d.5/11
2. 15 road and 25 black balls in a bag.
What is the probability of selecting a black ball from the ball?
is there possible answers
a. 1/25
b.1/5
c.3/8
d.5/8
Answer:
Step-by-step explanation:
no. of black balls = 5
no. of white balls = 6
total no. of balls = 5 + 6 = 11
The probability of picking a white ball = 6/11
no. of red balls = 15
no. of black balls = 25
total no. of balls = 15 + 25 = 40
The probability of selecting a black ball = 25/40
by simplifying,
25/40 = 5/8
hope this helps
plz mark as brianliest!!!!!!!
some paint has spilled on a 8x8 chess board. is it possible that the number of stained cells is 17 less than the number of the unstained cells? why or why not?
Answer:
Impossible
Step-by-step explanation:
Use a calculator to evaluate the expression.
log 94.4
Answer:
1.97497
Step-by-step explanation:
Using my calculator, I just put in log(94.4).
Find two consecutive integers whose sum is 901.
the answer is :
x+1 and x+2
Answer:
900+1=901
Step-by-step explanation:
If I worked from 2:30pm to 7:00pm. How many hours did work?
Answer:
4.5 hours
Step-by-step explanation:
fbdjdbercyTxxivdu
Answer:
Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.
Frosty lost the magic numbers from his hat. Help him find the numbers so his hat can be magical again in time for the party
The question is an illustration of an equilateral triangle.
From the complete question, the complete side of the triangle contains the following numbers:
1, 6 and 2.
The sum of these numbers represent the side length
\(Length = 1 + 6 + 2\)
\(Length = 9\)
On the base of the triangle, the numbers are 1 and 3.
So, the number that completes these set of numbers is 5.
This is so because, 5 added to the sum of 1 and 3 is 9
Lastly, the numbers on the last side of the triangle are 2 and 3.
So, the number that completes these set is 4.
This is so because, 4 added to the sum of 2 and 3 is 9
See attachment for the complete diagram
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What is the surface of a area of the square 10m 10m 8m
Answer: The area is (800)
Step-by-step explanation: (10x 10= 100)
(100 x 8= 800)
FINAL ANSWER: 800m
~ i really hope this is correct, have a gr8 day/night my friend!~
Enter the exact values of the trigonometric ratios in the boxes.
sin 45°
cos 30
tan 60
=
The required value of trigonometric ratios is,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
We know that,
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Therefore,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
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WILL MARK BRAINLEST!!!!!!!
A large farm has 75 Acres of wheat in 62.5 acres of corn, The farm can harvest the wheat from 12 acres and the corn from 10 acres per day and how many days will all the of the fields be Harvest
7 Days It will take a week aka 7 days
I’m going to continue using up all my points
if you want brainliest, answer at least one of these questions:
What is the most embarrassing thing you’ve done in your life?
or
What is your favorite animal? (If you don’t have one, say your favorite foods or color)
Answer:
My favorite color is purple (any shade of purple) My favorite animal is between birds and dogs. Have an amazing day!
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Find the measure of TU
A. 8
B. 12
C. 14
D. 11
Answer:
D. 11
Step-by-step explanation:
First apply the secant-secant theorem to find the value of x.
Thus,
VU(TU + VU) = VW(BW + VW) (secant-secant theorem)
Substitute
(7)(x + 4 + 7) = (9)(-2 + x + 9)
7(x + 11) = 9(7 + x)
7x + 77 = 63 + 9x
Collect like terms
7x - 9x = 63 - 77
-2x = -14
Divide both sides by -2
x = 7
✔️Find TU
TU = x + 4
Substitute get value of x
TU = 7 + 4 = 11
Answer:
11
Step-by-step explanation:
If p. 2 + 2 =4
What is p?
2 + 2 4
2 + 2 = 4
2 X 2 4
2 X 2 = 4
Answer:
2 + 2 = 4
Step-by-step explanation:
Answer:
2 + 2 = 4
Step-by-step explanation:
this took me hours to figure out
IXL Help Fast Please !
Answer:
y=-2x
Step-by-step explanation:
2=-2(-1)
2=2
Sorry for late response
Can someone please help
Let f be defined as shown.
What is f^-1 (-9)
Explanation:
The inverse undoes whatever f(x) does. So if the input is x = -8 leads to the output y = -9, then the inverse reverses the process. Effectively, the input and output swap. It's essentially asking the question "if f(x) = -9, then what is the value of x?". In this case, the answer would be x = -8
Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book
Step-by-step explanation:
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
if it is -2°F outside and the temperature it will drop 10°F in the next 5 hour,how cold will it get ?
Answer:
it will be -12 F
Step-by-step explanation:
IT is already -2 F so if you add -2 + -10= -12
HELP QUICK
For each statement about owners of equity in a business, select True or False.
Give an example of a unit rate that you have seen or used in your life recently.
The examples of unit rate are given below and this can be determined by using the definition of unit rate.
The unit rate is nothing but a ratio that represents the rate of something per unit.
Examples --
1) A car is driving at a speed of 50 kilometers per hour. The 50 km/hr represents the unit rate.
2) The cost of the potatoes is $2 per pound. The $2/pound represents the unit rate.
3) The density of a substance is 4 Kg per liter. The 4kg/lt represents the unit rate.
compare1/2 with 3/4 using (<>=)
Answer: 3/4 is greater than 1/2
>
Step-by-step explanation:
Pablo shares 525 cupcakes in the ratio of 3:4 between his
bakery and a supermarket
How many cupcakes does the supermarket get?
Cara made a scale drawing of a house and its lot. The scale she used was 1 millimeter : 9 meters. If the front patio is 2 millimeters wide in the drawing, how wide is the actual patio?
The required actual width of the patio is 18,000 meters.
How to find the actual width of patio?Given that the scale used by Cara in her drawing is 1 millimeter : 9 meters, we can use this information to find the actual width of the patio.
Let's denote the width of the patio in the actual scale as "x" meters.
According to the scale, 1 millimeter in the drawing represents 9 meters in actuality. So, if the width of the patio in the drawing is 2 millimeters, we can set up the following proportion:
\($\frac{1 \text{ millimeter}}{9 \text{ meters}} = \frac{2 \text{ millimeters}}{x \text{ meters}}$\)
Cross-multiplying, we get:
\($1 \text{ millimeter} \cdot x \text{ meters} = 9 \text{ meters} \cdot 2 \text{ millimeters}$\)
Simplifying, we get:
\($x = \frac{9 \text{ meters} \cdot 2 \text{ millimeters}}{1 \text{ millimeter}}$\)
Since 1 millimeter is equivalent to 0.001 meters, we can convert the units:
\($x = \frac{9 \text{ meters} \cdot 2 \text{ millimeters}}{0.001 \text{ meters}}$\)
\($x = \frac{18 \text{ meters}}{0.001}$\)
\($x = 18,000 \text{ meters}$\)
So, the actual width of the patio is 18,000 meters.
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A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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what is 6 and 1/3 -m the answer is three but im are trying to find out what m is
According to the given equation, the value of m is 3.33.
The given expression is -
\(6\frac{1}{3}-m=3\) ----- (1)
We have to find out the value of m.
From equation (1), we have
\(6\frac{1}{3}-m=3\\= > \frac{19}{3}-m=3\\ = > \frac{19-3m}{m}=3\\ = > 19-3m=3m\\= > 6m=19\\= > m= 3.33\)
Thus, solving the given equation, we find out that the value of m is 3.33.
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Can someone help me with his I will mark u brilliant
Answer: 1260 books
Step-by-step explanation:
2/5=0.4
19000x0.4=7600
12500x0.4=5000
7600+5000=12600
1/10=0.1
12600x0.1 = 1260
/Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)