Answer:
Step-by-step explanation:
\((1)\ x^2=10^2+7^2\\ \\ x^2=149\\ x=\sqrt{149}\\ \\ x\approx 12.2\\ \\ (2)\ x^2=21^2-19^2\\ \\ x^2=80\\ \\ x=\sqrt{80}\\ \\ x\approx 8.9\\ \\ (3)\ obtuse\\ \\ (4)\ sin24=\frac{x}{9}\\ \\ x=9sin24\\ \\ x\approx 3.7\)
Exercice 3-(4 pts): Enchaînements d'opérations, simplification de fractions et nombres relatifs. Recopier chaque expression, calculer en rédigeant en colonne, étape par étape. Pour les expressions A, B et C, donnez le résultat sous la forme d'une fraction irréductible. A=4+3x6 48
D = (7 + 3) - 9×2
B = 4x3+6 48 (4 + 3) x 6 ÷ 48
E = (-5+3-4)-(-4+6) × 2
C= (4+3)×6 ÷ 48
Answer:
Step-by-step explanation:
A = 4 + 3x6/48
A = 4 + 18/48
A = 4 + 3/8
A = (4*8+3)/8
A = 35/8
D = (7+3)-9x2
D = 10-18
D = -8
B = (4x3+6)/48
B = (12+6)/48
B = 18/48
B = 3/8
(4+3)x6÷48
7x6÷48
42÷48
7/8
E = (-5+3-4)-(-4+6)x2
E = (-6)-(-8)
E = 2
Therefore, the results are:
A = 35/8
D = -8
B = 3/8
E = 2
marcus is testing a hair sample from the telogen stage. what is likely to be true about this sample?
When Marcus tests a hair sample from the telogen stage. The result likely to be true about this sample is there will be a nuclear DNA present.
DNA (Deoxyribonucleic acid) is a polymer comprised of two polynucleotide chains that loop around each other to form a double helix having genetic instructions for the development, functioning, growth and reproduction of all known organisms and many viruses. DNA and ribonucleic acid both are nucleic acids.
Moreover, DNA is the information molecule. It holds the instructions for creating other large molecules, called proteins. These instructions are kept inside each of our cells, distributed among 46 long structures called chromosomes.
Hence, DNA is made of chemical structures called nucleotides. These structures are made of three parts: a sugar group, a phosphate group, and one of four types of nitrogen bases.
Hence the correct option is c.
--The given question is incomplete, the complete question is
''Marcus is testing a hair sample from the telogen stage. What is likely to be TRUE about this sample?
A. There will be several medullas present.
B. There will be mitochondrial DNA present.
C. There will be nuclear DNA present.
D. There will be very little DNA present."--
To know more about DNA, here
https://brainly.com/question/14315652
#SPJ4
let ⊂ , ⊂ be any two disjoint events such that: P() = 0.4, P( ∪ ) = 0.7. Find: ) P( c). ii) P( c ), iii)probability that exactly one of the events A,B occurs
The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:
i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.
Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.
ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.
Therefore, P(Bᶜ) = P(A) = 0.4.
iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).
Since A and B are disjoint, P(A ∩ B) = 0.
Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.
To summarize:
i) P(Aᶜ) = 0.6
ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.
To learn more about Probability visit:
brainly.com/question/30034780
#SPJ11
I need help, I'll give Brainest
Answer:
it should be cost, because when there is more quantity of something there will be less price.
If a car travels at a uniform speed at 72 kilometers per hour, how many kilometers does it travel in 15
minutes?
Answer:
18 kilometres
Step-by-step explanation:
Speed of the car is 72 kilometres per hour
means the car runs 72 kilometers within 60 minutes
so, the car will travel in 15 mins,
72×15/60
= 72/4 = 18 kilometres
Question 5 please someone solve its functions and composite functions
The value of kˣ for the exponential function is \(27^{(1/x)}.\)
What is the value of kˣ?We can use the properties of exponents to solve this problem and determine the value of kˣ.
To find the value of h(3x), we can use the property that \((a^b)^c = a^{bc}\) for any real numbers a, b, and c. This is shown in the solution below.
h(3x) = 3³ˣ (since h(x) = 3ˣ)
= (3³)ˣ
= 27ˣ
Therefore, we have:
kˣ = 27ˣ
To find the value of kˣ, we can take the x-th root of both sides:
\(k = 27^{(1/x)}\)
So, the value of kˣ is \(27^{(1/x)}\).
Learn more about exponential functions here: https://brainly.com/question/30127596
#SPJ1
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
Know more about quadratic expression here:
https://brainly.com/question/31368124
#SPJ11
at sunrise donuts you can buy 6 donuts and two kolaches for $8.84 . one kolache and 4 donuts would cost $5.36. what is the price for one donut?
The price of one donuts, if you can buy 6 donuts and two kolaches for $8.84 and one kolache and 4 donuts would cost $5.36 is $0.94.
Let's represent the price of one donut with "d" and the price of one kolache with "k". Then we can write two equations based on the information given:
6d + 2k = 8.84 (equation 1)
4d + 1k = 5.36 (equation 2)
We can use equation 2 to solve for k:
k = 5.36 - 4d
Now we can substitute this expression for k into equation 1:
6d + 2(5.36 - 4d) = 8.84
Simplifying and solving for d:
6d + 10.72 - 8d = 8.84
2d = 1.88
d = 0.94
Therefore, the price for one donut is $0.94.
To learn more about price : https://brainly.com/question/19104371
#SPJ11
2g-h/f=5 solve for g
HELP ME PLEASEEEEEEEEEEEE
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
A car is traveling down a highway at a constant speed, described by the equationd=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.
How many miles does the car travel in 1.5 hours?
Answer:
97.5 miles
Step-by-step explanation:
you would take 65 and multiply by 1.5
Last year, there were 123 pies baked for the bake sale. This year, there were b pies baked. Using b, write an expression for the total number of pies baked in the two years.
Suppose we have 4 email messages. We have also classified 3 messages as normal and 1 as spam. Use Naïve Bayes multinomial to answer the question that follows. Use alpha=1 to avoid zero probabilities.
Message Content Classification
1 Chinese Beijing Chinese Normal
2 Chinese Chinese Shanghai Normal
3 Chinese Macao Normal
4 Tokyo Japan Chinese Spam
Round your answer to the nearest ten thousand
P(Tokyo | Spam)
Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
Learn more about probabilities: brainly.com/question/13604758
#SPJ11
Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
Learn more about probabilities: brainly.com/question/13604758
#SPJ11
ASAP help me with this question
the equation of the line is y = 3x - 5
Answer:
WOOF WOOF
Step-by-step explanation:
i love getting extra points :)
a swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its deepest point. a cross-section is shown in the figure. if the pool is being filled at a rate of 0.9 ft 3 /min , how fast is the water level rising when the depth at the deepest point is 5 ft ? (round your answer to five decimal places.)
The water level is rising at a rate of 0.0075 ft/min when the depth at the deepest point is 5 ft.
Let's call the depth at the deepest point of the pool "y" and the volume of
the water in the pool "V".
We want to find the rate at which the water level is rising, which is the
rate of change of "y" with respect to time.
We know the rate at which the pool is being filled, which is 0.9 ft3/min,
and we can find the rate at which the volume of the water is increasing
using the formula for the volume of a rectangular prism:
V = lwh
where l is the length, w is the width, and h is the height.
Since the pool is not rectangular, we can find the volume of the water as
a function of "y" using similar triangles:
h/y = (9 - 3)/(40 - 20) = 0.3
where h is the height of the pool at the deepest point. Solving for h, we get:
h = 0.3y
Substituting this expression for h into the formula for the volume, we get:
V = lw(3 + 0.6y)
Taking the derivative with respect to time, we get:
dV/dt = lw(0.6 dy/dt)
Now we need to find the values of l and w. The width is given as 20 ft,
and the length is a function of "y":
l = 40 - 2(40 - y) = 2y
Substituting these values into the expression for dV/dt, we get:
dV/dt = 40y(0.6 dy/dt)
Finally, we can find the rate at which the water level is rising when y = 5 ft
by plugging in the values:
0.9 = 40(5)(0.6 dy/dt)
Solving for dy/dt, we get:
dy/dt = 0.9/(4050.6) = 0.0075 ft/min
for such more question on rate
https://brainly.com/question/28105962
#SPJ11
A city wide soccer club has a phone tree to keep members informed of cancellations due to bad weather. At the first stage of the calling process, 2 leaders are informed. In stage 2, each person who was informed in stage 1 calls 3 players who are not informed. In stage 3, each person who was informed in stage 2 calls 3 players who are not informed. This pattern repeats and ends after stage 5. The number of players informed at each stage, P, is a function of the stage number X
The evaluation of the function with which the number of players leading and informed can be found, is prevented as follows;
(a) The stage of the information
(d) The number of leaders and players informed
(c) The function using function notation is P(x) = 2 × 3⁽ˣ⁻¹⁾
(d) We can say that the number of players and leaders depend on the stage of the information
(e) The statement P(4) = 54 indicates that in stage 4, 54 people are informed
(f) Domain; [1 , ∞)
Range; [2, ∞)
(g) The shape of the graph is the curved shape of an exponential function un which the asymptote is an horizontal line
What is an exponential function?An exponential function is a function in which the argument is an index of a constant of the form f(x) = a·bˣ
(a) The independent variable is the input variable, which is the stage of the calling process
(b) Dependent variable is the output variable, which is the number of leaders and players who are informed
(c) The specified function that represents the number of players who are informed, is presented as follows;
P = 2 × 3ˣ⁻¹
Where;
P = The number of players informed
x = The of information of the players
Expressing the above function using function notation, we get;
P(x) = 2 × 3ˣ⁻¹
(d) We can say that the number of players and leaders informed is a function of the stage of the information
(e) The meaning of the equation P(4) = 54 is that at stage 4, the number of layers and leaders informed is 54
(f) The domain of the function P(x) = 2 × 3ˣ⁻¹ is the set of all positive integers equal to or larger than 1 or Z⁺ {1, 2, 3, ...}
The range of the function is the set of integers, such that 2 ≤ x ≤ ∞
(g) Please find attached the graph of the function created with MS Excel
The attached graph of the function indicates that the shape of the graph is the graph of an exponential function, which is non linear and has a horizontal asymptote , but does not have a vertical asymptote.
Learn more on the graph of a function here: https://brainly.com/question/16944741
#SPJ1
what value of x is quadrilateral CDEF a parallelogram
Answer:
x = 2
Step-by-step explanation:
CDEF is a parallelogram.
CE and FD are its diagonals.
Diagonals of a parallelogram bisects each other.
Therefore,
10x - 5 = 4x + 7
10x - 4x = 7 + 5
6x = 12
x = 12/6
x = 2
Thus, for x = 2, CDEF is a parallelogram.
In the quadrilateral CDEF, the value of x is 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Quadrilateral CDEF is a parallelogram.
Here, CE and FD are its diagonals.
We know that;
Diagonals of a parallelogram bisects each other.
Therefore, We can formulate;
⇒ 4x + 7 = 10x - 5
Solve for x as;
⇒ 7 + 5 = 10x - 4x
⇒ 12 = 6x
⇒ x = 12/6
⇒ x = 2
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Im so lost like i just learned this ;-;
Answer:
The opposite of -3 5/8 is on the right (or opposite) side of zero on the number line as -3 5/8. The opposite of 4 2/9 is on the left (or opposite) side of zero on the number line as 4 2/9.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
If you want four 2 in. platys, seven 1 in. guppies, and a 3 in. loach, what is the smallest capacity tank you can buy?
Answer:
168 cubic inches
Step-by-step explanation:
The parameters given are:
four 2 in. platys, seven 1 in. guppies, and a 3 in. loach,
Four 2 inches platys = 4 × 2 = 8 inches
Seven 1 inches guppies = 7 × 1 = 7 inches
A 3 inches leach = 3 inches
The smallest capacity tank you can buy will be
V = 8 × 7 × 3
V = 168 cubic inches
Therefore, the smallest capacity of tank you can buy is 168 cubic inches
Answer: 22 Gallons
Step-by-step explanation:
Enter the equation for the graph.
Answer:
The answer on Acellus is y=1 cos(3)
Step-by-step explanation:
subtract and simplify 5 6/9 - 2 1/3
Answer:
Your answer should be 3 1/3
Step-by-step explanation:
:)
What is the volume of the prism ???
work out the sum of 1/5 , 3/4 and 1/2 give the answer as a mixed number and in it's simplest form
Answer
it's 1 9/20. hope this helps :)
10 points!! Will mark brainliest!!! Please help me I don’t understand this very well
Answer:
9?
Step-by-step explanation:
find dy/dx. x = t sin(t), y = t2 + 8t
find dy/dx
x= t sin(t); (Given in the question)
y= t²+8t; (Given in the question)
then, x= t sin(t)
dx/dt = sin t + t cos t ;
y= t²+8t
dy/dt = 2t + 8;
then, dy/dx = dy/dt x dx/dt
dy/dx = (2t+8)/(sin t + t cos t)
dy/dx = 2(t+4)/(sin t + t cos t)
Learn more about derivative at:
brainly.com/question/23847661
#SPJ4
Given vector u = ⟨−3,−2⟩ and v = ⟨1,−5⟩,determine the value of u - 2v in component form.
The component form of the linear combination of the two vectors is u - 2v = < -5, 20>
How to find the vector u - 2v?Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:
u - 2v
To do that we just add the correspondent components, then we get:
u - 2v = <-3, -2> - 2*<1, -5>
= <-3, -2> - <2*1, 2*-5>
= <-3, -2> - <2, -10>
= < -3 - 2, -2 -(-10)>
= < -5, 20>
That is the component form of the linear combination.
Learn more about vector on:
https://brainly.com/question/25705666
#SPJ1
find x for 14x+17=2(x+3)^2-5
The values of x will be 2 and -1.
Given that:-
\(14x+17=2(x+3)^2-5\)
We have to find the value of x.
As it is a quadratic equation, there will be two values of x.
Opening the bracket and solving the equation further, we get,
\(14x+17=2(x^2+9+6x) -5\\14x+17 = 2x^2 +18+12x-5\\2x^2-2x-4 = 0\\2(x^2-x-2) =0\\x^2-x-2 = 0\)
Using middle-term split theorem to solve the quadratic equation, we get,
\(x^2-x-2 = 0\\x^2+x-2x-2=0\\\)
x(x + 1) - 2(x + 1) = 0
(x + 1)(x - 2) = 0
Hence, either x + 1 = 0 or x - 2 = 0 or both of them are 0.
x + 1 = 0
x = -1
and,
x - 2 = 0
x = 2
Hence, the values of x are 2 and -1.
To learn more about quadratic equation, here:-
https://brainly.com/question/17177510
#SPJ1
If f(x) = 3x +7, find
Answer:
I think your answer will be 21 cause you timeing the 3 by 7
Which equation represents the graph? a graph of a line that passes through the points 0 comma negative 2 and 3 comma negative 1
Pls help
Brenna is making brownies. She wants to make an extra pan for her grandparents, so she is doubling the recipe. If the original recipe calls for n units of an ingredient, she uses 2n units for her doubled recipe. The original recipe calls for 1.5 teaspoons of vanilla extract.
How much vanilla extract should Brenna use in her doubled recipe?
Answer:1.5 x 2=3 teaspoons vanilla
Step-by-step explanation: simply double the 1.5 teaspoons which is 3 teaspoons of vanilla