What’s the square root of 8
(20 points)

The value of x and y in the equation are 1 and 4 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 , 4x − 4y = 4.

7x-3y=-5 equation 1

3x+2y=11 equation 2

using elimination method, we multiply the coefficient of x by both equations

21x- 9y = -15 equation 3

21x +14y = 77 equation 4

subtract equation 3 from 4

23y = 92

y = 92/23

y = 4

substitute 4 for y in equation 1

7x -3(4) = -5

7x -12 = -5

7x = -5+12

7x = 7

x= 7/7= 1

therefore the value of x and y are 1 and 4 respectively

learn more about Simultaneous equations from

https://brainly.com/question/16863577

#SPJ1

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

Answer:

The other angle is 100

Step-by-step explanation:

A straight line is 180, and if one angle is 80, then 180-80=100, giving you your answer. ^^

Answer:

i think the answer will be 180-80?

Answer:

its 1/2 and 8

Step-by-step explanation:

got it right

Answer:

f(-6)= -8

Step-by-step explanation:

just look at where x is -6 and y is -8 so f(-6) is -8

Hopes this helps please mark brainliest

Answer:

rain gauges

Step-by-step explanation:

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³

Answer:

x=2.2

Step-by-step explanation:

55x - 67 = 54

-> 55x = 54+67

-> 55x = 121

-> x=121/55

-> 2.2

Answer:

1. B

2. A

3. B

4. ???

5. A

6 ???

7. I can't see it

Step-by-step explanation:

Answer: g = -7 / 3√3 or -4.04

Step-by-step explanation:

In this case, we can solve for g by dividing both sides of the equation by 3√3. This gives us:

g * 3√3 / 3√3 = -7 / 3√3

Since 3√3 / 3√3 = 1, this simplifies to:

g = -7 / 3√3

Therefore, the value of g is -7 / 3√3.

To prove that △FGE ~ △IJH by the SAS (Side-Angle-Side) similarity theorem, we need additional information. The given information states that segment FG is congruent to segment JI, segment IF is congruent to segment JF, and segment GE is congruent to segment IH. However, this information alone is not sufficient to prove similarity.

In order to establish similarity using the SAS similarity theorem, we need to show that the corresponding angles of the triangles are congruent as well. Therefore, we need to know the measure of at least one angle in each triangle, in addition to the given congruent sides.

For example, if we are given that angle F is congruent to angle J and angle G is congruent to angle H, along with the given congruent sides, we can apply the SAS similarity theorem to prove the similarity of △FGE and △IJH.

So, the missing information required to prove the similarity of the triangles is the congruence of at least one angle in each triangle.

To know more about congruence visit-

brainly.com/question/26080113

#SPJ11

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

Learn more about fraction here:

https://brainly.com/question/28699958

#SPJ1

The piece-wise function f(t) in terms of a unit step function. b) Compute its Laplace transform L{f(t)} = 12/s + 3 * [e^(-4s) * (1/s^2) * (1 - e^(-4s)) - e^(-6s) * (1/s^2) * (1 - e^(-6s))] + 18 * e^(-6s) * (1/s^2)

To rewrite the piece-wise function f(t) in terms of a unit step function, we can use the unit step function u(t). The unit step function is defined as follows:

u(t) = 0, t < 0

u(t) = 1, t ≥ 0

Now let's rewrite the piece-wise function f(t) using the unit step function:

f(t) = 12u(t) + 3t[u(t-4) - u(t-6)] + 18u(t-6)

Here's the breakdown of the expression:

- The first term, 12u(t), represents the value 12 for t greater than or equal to 0.

- The second term, 3t[u(t-4) - u(t-6)], represents the linear function 3t for t between 4 and 6, where the unit step function u(t-4) - u(t-6) ensures that the function is zero outside that interval.

- The third term, 18u(t-6), represents the value 18 for t greater than or equal to 6.

Now, let's compute the Laplace transform of f(t). The Laplace transform is denoted by L{ } and is defined as:

L{f(t)} = ∫[0, ∞] f(t)e^(-st) dt,

where s is the complex frequency parameter.

Applying the Laplace transform to the expression of f(t), we have:

L{f(t)} = 12L{u(t)} + 3L{t[u(t-4) - u(t-6)]} + 18L{u(t-6)}

The Laplace transform of the unit step function u(t) is given by:

L{u(t)} = 1/s.

To find the Laplace transform of the term 3t[u(t-4) - u(t-6)], we can use the time-shifting property of the Laplace transform, which states that:

L{t^n * f(t-a)} = e^(-as) * F(s),

where F(s) is the Laplace transform of f(t).

Applying this property, we obtain:

L{t[u(t-4) - u(t-6)]} = e^(-4s) * L{t*u(t-4)} - e^(-6s) * L{t*u(t-6)}.

The Laplace transform of t*u(t-a) is given by:

L{t*u(t-a)} = (1/s^2) * (1 - e^(-as)).

Therefore, we have:

L{t[u(t-4) - u(t-6)]} = e^(-4s) * (1/s^2) * (1 - e^(-4s)) - e^(-6s) * (1/s^2) * (1 - e^(-6s)).

Finally, substituting these results into the Laplace transform expression, we obtain the Laplace transform of f(t):

L{f(t)} = 12/s + 3 * [e^(-4s) * (1/s^2) * (1 - e^(-4s)) - e^(-6s) * (1/s^2) * (1 - e^(-6s))] + 18 * e^(-6s) * (1/s^2).

Please note that the Laplace transform depends on the specific values of s, so further simplification or evaluation of the expression may be required depending on the desired form of the Laplace transform.

To learn more about "Laplace transform" refer here:

https://brainly.com/question/29583725

#SPJ11

Answer:

706060061

Step-by-step explanation:

hope this helps :D

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

In that week, her earnings would be

= $220 + 5% * $12,650

= $220 + $632.50

= $852.50

Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

Step-by-step explanation:

c, an angle measuring -110

an angle measuring 470 degrees

Answer:

-8/3

Step-by-step explanation:

To solve for x-intercept, we set y as 0.

0 = 3x + 8

-8 = 3x

-8/3 = x

The x-intercept of the line is -8/3.

Answer:

Brainliest!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:  For this question, we need to make a table first.

For which we'll assume values of x and y.

Let the value of x be 0 then y will be 5

if value of x=3 then y=6

hence, we arrive at two points that are satisfying the equation.

Kindly refer to the attachment

another question about similar fashion has been solved on this link:

equation question-https://brainly.com/question/13841596

Answer:

CMU+the curcumin of three is Fournes

Step-by-step explanation:

The values of function being changed according to the recursive formulae  a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b)  f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

Let's find the values of f(1), f(2), f(3), f(4), and f(5) for each of the given recursive definitions:

(a) f(n+1) = -2f(n)

Using this recursive formula, we can calculate the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

Therefore, f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96.

(b) f(n+1) = 3f(n) + 7

Using this recursive formula, we can calculate the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 9 + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 48 + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 165 + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 516 + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1569 + 7 = 1576

Therefore, f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576.

(c) f(n+1) = f(n)² – 2f(n) – 2

Using this recursive formula, we can calculate the values as follows:

f(1) = f(0)²  - 2f(0) - 2 = 3²  - 2(3) - 2 = 9 - 6 - 2 = 1

f(2) = f(1)²  - 2f(1) - 2 = 1²  - 2(1) - 2 = 1 - 2 - 2 = -3

f(3) = f(2)²  - 2f(2) - 2 = (-3)²  - 2(-3) - 2 = 9 + 6 - 2 = 13

f(4) = f(3)²  - 2f(3) - 2 = 13²  - 2(13) - 2 = 169 - 26 - 2 = 141

f(5) = f(4)²  - 2f(4) - 2 = 141²  - 2(141) - 2 = 19881 - 282 - 2 = 19597

Therefore, f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

Therefore, The values of function being changed according to thr recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b)  f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

To know more about recursive formula check the below link:

https://brainly.com/question/30977517

#SPJ4

After executing this code, the object "stats" will contain the vector of odd numbers: 21, 23, 25, 27, 29.

To assign a vector of odd numbers between 20 and 30 to an object called "stats" in a programming language like R, you can use the following code:

stats <- seq(21, 29, 2)

Here's how this code works:

seq() is a function in R used to generate a sequence of numbers.

We specify the starting point as 21 (the first odd number between 20 and 30).

The endpoint is set to 29 (the last odd number between 20 and 30).

The third argument, 2, indicates the step size. By setting it as 2, we ensure that only odd numbers are included in the sequence.

The resulting sequence of odd numbers between 20 and 30 is then assigned to the object called "stats" using the assignment operator <-.

After executing this code, the object "stats" will contain the vector of odd numbers: 21, 23, 25, 27, 29.

Learn more about vector here

https://brainly.com/question/15519257

#SPJ11

Answer:\(2x^{3} mr^{2}\)

Step-by-step explanation:

2 * xxx * m * rr

2 \(x^{3}\) m \(r^{2}\)

This is because \(x^{3}\) is the same as multiplying x by its self, three times. The same goes for variables m and r.

Answer:

282.5 hours

Step-by-step explanation:

14 books needs 113 hours

35 books needs x hours

x=(35×113)/14 = 3955/14 = 282.5 hours

Answer:

3 1/5

Step-by-step explanation:

k12 quiz 1.13

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

To know more about number visit:

brainly.com/question/3589540

#SPJ11

Answer:

We will transform the equation to the vertex form:

y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =

= ( x + 4 )² - 4

Vertex form is: y = a ( x - k )² + h

Vertex coordinates are: ( - 4, - 4 ).

Step-by-step explanation: