nombre decimal en fraction irréductible
0,04​

We will see that the parabola must open downwards, then the value of c must be negative, and thus, the correct option is A, c = -8.

The general quadratic equation is written as:

y = a*x^2 + b*x + c

Where a is the leading coefficient, and it defines if the parabola opens up or down, depending on its sign.

And we know that we have two real solutions, so the discriminant (4*a*c in the general equation) must be positive.

Then:

4*a*c> 0

Now, notice that the vertex of the parabola is above the x-axis, then the parabola only will intercept the x-axis if it opens downwards, then a must be negative.

Then the value of c also must be negative, due to the above inequality.

Then the only option that could be the value of c is option A, c = -8.

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Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

Answer:

In general, IBM MQ object names can be up to 48 characters long

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

132

Step-by-step explanation:

Given arithmetic series:

\(\displaystyle \sum^{12}_{k=1}(37-4k)\)

\(\textsf{Apply\:the\:Sum\:Rule}:\quad \displaystyle \sum a_n+b_n=\sum a_n+\sum b_n\)

\(\implies \displaystyle \sum^{12}_{k=1}37-\displaystyle \sum^{12}_{k=1}4k\)

\(\textsf{Apply\:the\:constant\:multiplication\:rule}:\quad \displaystyle \sum c\cdot a_n=c\cdot \sum a_n\)

\(\implies \displaystyle \sum^{12}_{k=1}37-\displaystyle 4\sum^{12}_{k=1}k\)

Therefore:

\(\implies 37 \cdot 12 - 4(1+2+3+4+5+6+7+8+9+10+11+12)\)

\(\implies 444 - 4(78)\)

\(\implies 444 - 312\)

\(\implies 132\)

Answer:

10 because if you multiply 500 by 3 you get 1500 and how many times doe 150 go into it...10 times doing it backwards is sometimes easier :)

Step-by-step explanation:

Answer:

150n÷3=500

150n÷3×3=500×3

150n=1,500

150n÷150=1,500÷150

n=10

Plzzzzz give me Brainliest!  

The solution to the system is x = 0, y =2, z = 5

Given the following system:

x+ 2y+z=9      -------- (1)

x- y+3z = 13    -------- (2)

2z = 10            -------- (3)

From (3):

2z = 10

z = 10/2 = 5

Put z = 5 into (1) and (2):

x+ 2y+z=9

x+ 2y+5 = 9

x +2y = 9-5

x +2y = 4     -------- (4)

x- y+3z = 13

x -y + 3(5) = 13

x-y + 15 = 13

x-y = 13 -15

x-y = -2     --------   (5)

Using elimination method on (4) and (5):

Subtracting (5) from (4):

x +2y = 4

x-y =   -2

3y = 6

y = 6/3 = 2

Put y = 2 into (4):    

x +2y = 4

x + 2(2) = 4

x + 4 = 4

x = 4-4 = 0

Therefore, the solution is x = 0, y =2, z = 5. The 3rd option is the answer.

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Answer:

x=20

Step-by-step explanation:

aro now if a I am rite but a try mai best

Answer:

-99232

Step-by-step explanation:

PEMDAS

Solve in the brackets/parenthesis and expand out

4*9=36*3=108-12=96

Now we have (96)*8-10^5

Next up is exponents so -10^5 is -100000

Next is multiplication so  (96)*8=768

Lastly is subtraction: 768-100000= -99232

Scientific notation of this answer is -9.9232*10^4 (depends which answer they are looking for)

The equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.

The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed using the equation:

v= √2gH tanh (√2gH/2L. T)

where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s).

To plot the velocity function f(H) versus H for H = 0 to 4 m, we can use MATLAB to create a script that uses the equation to calculate the velocity for each value of H. We can then plot the points on a graph, with H on the x-axis and v on the y-axis.

To determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe, we can use the LastNameBisect method with initial guesses of xl = 0 and xu = 4 m. This will use the equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.

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Answer:

24 minus 12 plus 6

Step-by-step explanation:

minus 12

Answer:

43 Degrees

Step-by-step explanation:

(3x + 16) + (6x + 1) + (82) = 180 Degrees

180 - 82 = 98 Degrees

(3x + 16) + (6x + 1) = 9x + 17

9x + 17 = 98

98 - 17 = 81

81 / 9 = 9

x = 9

6(9) + 1 = 55 Degrees

3(9) + 16 = 43 Degrees

55 + 43 + 82 = 180 Degrees

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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The probability of having no more than two errors in five pages, with an average error rate of one in every 500 words typeset and each page containing 300 words, can be calculated using the binomial distribution. The probability is approximately 0.9947, or 99.47%.

Let's calculate the probability step by step. The average error rate is given as one error in every 500 words typeset. Therefore, the probability of making an error on a single word is 1/500, and the probability of not making an error on a single word is 499/500.

Since each page contains 300 words, the probability of not making an error on a single page is \((499/500)^{({300)\), as the events are independent. The probability of making at least one error on a page is the complement of not making any errors, which is 1 -  \((499/500)^{({300)\).

Now, we need to calculate the probability of having no more than two errors in five pages. We can use the binomial distribution to find this probability. The formula for the binomial distribution is

P(X ≤ k) = ∑(i=0 to k) (n choose i) * p^i * (1-p)^(n-i), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose i) is the binomial coefficient.

In this case, n = 5 (number of pages), k = 2 (maximum number of errors), and p = 1 -  \((499/500)^{({300)\). By calculating the sum using the binomial distribution formula, we find that the probability of having no more than two errors in five pages is approximately 0.9947, or 99.47%.

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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The value of m is 1/3.

To solve the equation 9²m⁻¹ × 9⁵ = 9m², we can simplify the equation and solve for the value of m.

Let's simplify the equation step by step:

9²m⁻¹ × 9⁵ = 9m²

Expanding the exponents:

(9²)(9⁵)(m⁻¹) = 9m²

Simplifying the exponents:

9^(2+5)(m⁻¹) = 9m²

Using the property\(a^{(m+n)\)= \(a^m \times a^n\):

9^7(m⁻¹) = 9m²

Applying the power of 9⁷:

9m⁻¹ = 9m²

Dividing both sides by 9m⁻¹:

1 = 9m²/m⁻¹

Dividing with the same base and different exponents, we subtract the exponents:

1 = \(9m^{(2-(-1))\)

Simplifying the exponents:

1 = 9m³

Now, we can solve for m by isolating it on one side of the equation:

m³ = 1/9

Taking the cube root of both sides:

m = ∛(1/9)

The cube root of 1/9 is the same as raising 1/9 to the power of 1/3:

m = \((1/9)^{(1/3)\)

Simplifying the cube root:

m = 1/3

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Answer:

The bottom graph is the graph of that equation

Answer:

y-1=2/3(x-3)

y-1=2/3x-2

+1 both sides

y=2/3x-1

Answer:

Step-by-step explanation:

so have a nice night!

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

The solution to the given initial value problem is:

\(y(t) = 11(e^{(4t-12)} - e^{(-4t+12)}) - cos(4t)/2 + 11sin(4t)/2 + 22t sin(3t) + 2te^{(-4t)\)

To solve the given initial value problem using Laplace transforms, we will

first take the Laplace transform of both sides of the differential equation:

L(y''(t)) - 16L(y(t)) = 88L(t-3)

Using the Laplace transform property L(f'(t)) = sL(f(t)) - f(0), we can write:

\(s^2Y(s) - sy(0) - y'(0) - 16Y(s) = 88(e^{(-3s)}/s)\)

Substituting y(0) = -2 and y'(0) = 0, we get:

\(s^2Y(s) + 32Y(s) = 88(e^{(-3s)}/s) - 2s\)

Dividing both sides by \((s^2 + 16)\), we get:

\(Y(s) = [88e^{(-3s)}/(s^2 + 16)] - [2s/(s^2 + 16)]\)

We can simplify the first term using the Laplace transform of the function \(f(t-a) = e^{(-as)}F(s):\)

\(L(e^{(-3s)} \times cos(4t)) = (s+3)/(s^2 + 9)^2\)

Therefore, we can write:

\(L[88(t-3)] = 88L[t-3] = 88e^{(-3s)}/s\)

Substituting this in the expression for Y(s), we get:

\(Y(s) = [88e^{(-3s)}/(s^2 + 16)] - [2s/(s^2 + 16)] + [88/(s^2 + 9)^2]\)

Now we need to take the inverse Laplace transform of Y(s) to obtain y(t). To do this, we will use partial fraction decomposition for the first two terms:

\(Y(s) = [88e^{(-3s)}/(s^2 + 16)] - [2s/(s^2 + 16)] + [88/(s^2 + 9)^2]\)

\(= [11e^{(-3s)}/(s-4)] - [11e^{(-3s)}/(s+4)] - [s/(s^2 + 16)] + [22/(s^2 + 9)] - [2/(s+4)^2]\)

Taking the inverse Laplace transform of each term using standard Laplace transform pairs, we get:

\(y(t) = 11(e^{(4t-12)} - e^{(-4t+12)}) - cos(4t)/2 + 11sin(4t)/2 + 22t sin(3t) + 2te^{(-4t)\)

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Answer:

30

Step-by-step explanation:

ANSWER

The other two zeros are

• 3 + 2i

• 3 - 2i

EXPLANATION

If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,

Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,

So f(x) is,

To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,

In this case a = 1, b = -6 and c = 13,

Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.

In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,

And solve the square root,

We can distribute the denominator into the sum/subtraction,

And we get that the other two zeros are,

This agrees with the complex conjugate root theorem, which states that

Answer:

3h³ - h² - 10h

Step-by-step explanation:

(5h​³​​−8h)+(−2h​​³−h​²-2h)

= 5h³ - 8h - 2h³ - h² - 2h

= 3h³ - h² - 10h

So, the answer is  3h³ - h² - 10h

Answer:

--------------------------

Simplify the expression in below steps:

By the distributive property,

2 (√15 - 3√5)² = 2 (√15 - 3√5) (√15 - 3√5)

… = 2 ((√15)² + 2 (√15) (-3√5) + (-3√5)²)

In other words, we use the identity

(a + b)² = a² + 2ab + b²

with a = √15 and b = -3√5.

Then

2 (√15 - 3√5)² = 2 (15 - 6√(15•5) + 9•5)

… = 2 (15 - 6√(3•5²) + 9•5)

… = 2 (15 - 30√3 + 45)

… = 2 (60 - 30√3)

… = 120 - 60√3

Answer:

c

Step-by-step explanation:

square them both and add them then square root that answer

On solving the equation 2x+y=-4 and 43x-12y=-4 for y we get the value of y=-164/67 as the definition of solution of equation says "A solution to an equation is a number that can be plugged in for the variable to make a true number statement".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that cause all component equations to be satisfied or intersected are the solutions to systems of equations.

Here,

2x+y=-4

43x-12y=-4

43(2x+y=-4)

2(43x-12y=-4)

86x+43y=-172

86x-24y=-8

subtracting equation,

67y=-164

y=-164/67

As stated in the definition of equation solution, "A solution to an equation is a number that can be plugged in for the variable to make a true number statement," we arrive at the value of y=-164/67 after solving the equations 2x+y=-4 and 43x-12y=-4 for y.

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The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

Answer:

44.09

Step-by-step explanation:

37.18+50.84+44.25=132.27

132.27 divided by 3

Answer:

44.09

I would show my work but I realize it would take a long time and you said to "pls hurry!"

To prove that lines l and m are parallel, we need the information that the corresponding angles formed by the intersecting lines satisfy certain relationships. In this case, if the given conditions are true: <1 + <m = 180°, <5 = <m, <8m = <6 + <m, and <3 = 180° - <m, then we can conclude that lines l and m are parallel.

To determine if lines l and m are parallel, we need to examine the angles formed by the intersecting lines. The given conditions state that <1 + <m = 180°, <5 = <m, <8m = <6 + <m, and <3 = 180° - <m.

If we consider the angles formed by the intersection of lines l and m, we can see that <1 + <m = 180° implies that <1 and <m are supplementary angles. Similarly, <5 = <m indicates that <5 and <m are equal.

Furthermore, <8m = <6 + <m implies that <8m and <6 have a relationship with <m. Finally, <3 = 180° - <m indicates that <3 and <m are also supplementary angles.

Based on these relationships, if the given conditions are true, we can conclude that lines l and m are parallel. This is because the corresponding angles formed by the intersecting lines satisfy the necessary conditions for parallel lines.

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