\(if \: a \: - \frac{1}{a} = 3 \: prove \: that \: (a + \frac{1}{a} ) {}^{2} = 13 \)
..................​

Answer:

what question is this

please explain more

Step-by-step explanation:

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

to know more about slope , visit:

https://brainly.com/question/16949303

#SPJ1                                

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

For similar question on gross salary.

https://brainly.com/question/28905653  

#SPJ8

Answer:

x = 1

y = 7

Step-by-step explanation:

Two equations, two unknowns. We know that y = 7x so we can substitute that into the first equation to get:

\(-5+2\left(7x\right)=9\)

\(-5+14x=9\)

\(14x=14\)

This gives us x = 1.

Now plug this bag into either equation to find y, I will use the second since it's easier:

y = 7(1) = 7

The marked angle is at point J;

Thus the angles can be named from point I or point K as;

Naming the angle from point I, it is called;

Also,

Naming the angle from point K, it is called;

Thus, the angles are;

Answer:

2/3 c please give me brainliest

Step-by-step explanation:

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

More can be learned about piecewise functions at https://brainly.com/question/30348444

#SPJ1

From the given picture we can see

A small rectangle with a side of length 6 cm

The corresponding side of the large rectangle is 21 cm

To find the scale factor of enlargement we will divide 21 by 6

Part A:

The answer is 3.5

To find the missing side of the small rectangle we will use the scale factor with the corresponding side of the large rectangle which is 52.5 cm

By using the cross-multiplication

Divide both sides by 3.5

Part B:

The missing side in the small rectangle is 15 cm

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

D. S’ is the result of switching coordinates of S.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90°  counterclockwise about the origin, the new point is A'(-y, x).

Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90°  counterclockwise about the origin, the new point is at  S'(y, x). S’ is the result of switching coordinates of S

Answer:

E = 108

Step-by-step explanation:

E = 3 * \(6^{2}\)

= 108

Answer:

e=mc^2 if m=3 and c=6

e=3(\(6^2\))

e=3\((36)\)

e=108

Step-by-step explanation:

hope this helps have a good rest of your day/afternoon :) ❤

Answer:

-7

Step-by-step explanation:

Answer:

7i

Step-by-step explanation:

the square root of 49 is 7

i equals -1

7 squared times -1 equals -49

Answer:

walmart:1645.66 target:2096.07

Step-by-step explanation:

walmart:1538/100 × 107= 1645.66

target:1923/100 × 109= 2096.07

i think this is the ans but im not very sure

Answer:

180° - (61° + 61°) = 58°

Step-by-step explanation:

we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED

Step-by-step explanation:

there is a nice formula for the height in a right-angled triangle :

h = sqrt(p×q)

h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.

so, in our case

x = sqrt(25×144) = 5×12 = 60

Answer:

The fulton county has fewer pitches.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that;

the following procedure for accomplishing our task are:

1. Flip the coin.

2. Flip the coin again.

From here will know that the coin is first flipped twice

3. If both flips land on heads or both land on tails, it implies that we return to step 1 to start again. this makes the flip to be insignificant since both flips land on heads or both land on tails

But if the outcomes of the two flip are different i.e they did not land on both heads or both did not land on tails , then we will consider such an outcome.

Let the probability of head = p

so P(head) = p

the probability of tail be = (1 - p)

This kind of probability follows a conditional distribution and the probability  of getting heads is :

\(P( \{Tails, Heads\})|\{Tails, Heads,( Heads ,Tails)\})\)

\(= \dfrac{P( \{Tails, Heads\}) \cap \{Tails, Heads,( Heads ,Tails)\})}{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)

\(= \dfrac{P( \{Tails, Heads\}) }{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)

\(= \dfrac{P( \{Tails, Heads\}) } { {P( Tails, Heads) +P( Heads ,Tails)}}\)

\(=\dfrac{(1-p)*p}{(1-p)*p+p*(1-p)}\)

\(=\dfrac{(1-p)*p}{2(1-p)*p}\)

\(=\dfrac{1}{2}\)

Thus; the probability of getting heads is \(\dfrac{1}{2}\) which typically implies that the coin is fair

(b) Could we use a simpler procedure that continues to flip the coin until the last two flips are different and then lets the result be the outcome of the final flip?

For a fair coin (0<p<1) , it's certain that both heads and tails at the end of the flip.

The procedure that is talked about in (b) illustrates that the procedure gives head if and only if the first flip comes out tail with probability 1 - p.

Likewise , the procedure gives tail if and and only if the first flip comes out head with probability of  p.

In essence, NO, procedure (b) does not give a fair coin flip outcome.

The formula (ff/fm) for the relationship between fiber load and matrix load is correct.

The load transfers from the matrix to the fiber and vice versa happen through the fiber-matrix interfacial region, which is a crucial component of composites. The majority of authors are in favor of weak interfaces as a way to boost fracture toughness. Crack-bridging and fiber pullout are given the toughening designation.

But, Vm=Am/Ac,

which, upon rearrangement gives Ac/Am=1 /Vim  

 . Also, from Equation 16.10a,Ec=EmVm+EfVf, which, when substituted for Ec   into the previous expression, yields Ff Fm=EmVm+EfVfEmVm-1=EmVm+EfVf-EmVmEmVm=EfVfEmVm

The formula (ff/fm) for the relationship between fiber load and matrix load is correct.

To know more about fiber load of matrix visit:-

https://brainly.com/question/15060817

#SPJ4

Step-by-step explanation:

length of each rectangle= 9 1/14=127/14

breadth of each rectangle=5=4 1/2= 9/2

so perimeter of 1 rectangle= 2(l+r)

=2(127/14+ 9/2)

=2(127+63)/14

=2×190/14

=190/7

=27.14 feet

so total length of fencing= 4×27.14

=108.57 feet

hope you understand the solution and good luck!!

Answer:

15

Step-by-step explanation:

The answer is 15!

I've taken the test. Hope this helps

Answer:

(9,9)

Step-by-step explanation:

Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).

To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.

This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.

The x values are 4 and 14. The midpoint is

14-4=10

10/2=5 (the midpoint is 5 away from each reference point)

4+5=9

The midpoint is 9 for the x values. This means the x-value for the point is 9.

Repeat for y-values:

10-8=2

2/2=1

8+1=9

The midpoint is 9, therefore it has the y coordinate of 9.

Therefore the coordinates for the point are (9,9).

Hope this helped!

Answer:

21.4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

delta math told me! :)

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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

Answer:

C.

Step-by-step explanation:

4x+12

Given:

The expression is ___-(-5) = -7.

The objective is to find the missing value using number line.

Consider the missing value as x.

Now, the expression can be rearranged as,

So, we have to solve -7-5 on number line, which means starting from -7 subtract 5 in the number line.

Hence, the missing value is -12.

The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11

From the question, we have the following parameters that can be used in our computation:

f(s) = 3s^3 + 2s

Differentiate the function

So, we have

f'(s) = 9s^2 + 2

When the values are evaluated, we have

f(-4) = 9(-4)^2 + 2 = 146

f(-1) = 9(-1)^2 + 2 = 11

Hence, the values are 146 and 11

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

This question is solved using the conditional probability concept.

Using this concept, we find that:

First, the concept is presented.

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(A|B) = \frac{P(A \cap B)}{P(B)}\)

In which

P(A|B) is the probability of event A happening, given that B happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(B) is the probability of B happening.

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

Question a:

For relation with the formula presented above, I will change events A and B.

Event A: Person is infected.

Event B: Positive test.

Probability of a positive test:

Thus:

\(P(B) = 0.85\frac{1}{300} + 0.05\frac{299}{300} = \frac{0.85\times1 + 0.05\times299}{300} = 0.0527\)

Probability of a positive test and the person is infected.

85% = 0.85 out of 1/300. Thus:

\(P(A \cap B) = \frac{0.85}{300} = 0.0028\)

Desired probability:

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.0028}{0.0527} = 0.053\)

0.053*100% = 5.3%, thus:

P(AIB)= 5.3%

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

Question b:

Event A: Does not have the virus

Event B: Test negative.

Probability of a negative test:

Thus:

\(P(B) = 0.15\frac{1}{300} + 0.95\frac{299}{300} = \frac{0.15\times1 + 0.95\times299}{300} = 0.9473\)

Probability of a negative test and the person is not infected.

0.95 out of 299/300

Thus:

\(P(A \cap B) = \frac{0.95\times299}{300} = 0.9468\)

Desired probability:

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.9468}{0.9473} = 0.999\)

0.999*100% = 99.9%, so:

P(A'|B') = 99.9%

A similar question can be found at https://brainly.com/question/24275491

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1