The period T(In seconds) of a pendulum is given by T=2PI(Square root of L/32) Where L stands for length (in feet) of the pendulum If pi =3.14 and the period is 6.28 what is the length

Given:

If the given triangles are similar.

The corresponding angles should be congruent.

Both triangles have the same angle 105 degrees.

The second angle is 31 degrees and q.

If triangles are similar then the value of q is 31 degrees.

Given

Find

Interpret the values of a and b , also annual percent increase

Explanation

As the general form of growth exponential function is in the form of

where a is the inital value

t is the time

b= 1+r = where r is the rate of growth

so , in given situation

a represents the number of referrals it received at the start of the model; and b represents the growth factor of the number of referrals

option 4 is the correct one.

now we have to find the annual percent increase

for this we have to find the final referrels after 1 years.

for this put t = 2in given equation

annual percent increase =

Final Answer

Therefore , the correct option is d .

the annual percent increase is 125%

Solving the equation for r:

With the first equations, we can establish some limits for V:

With the lowest value for r (r=0):

With the highest value for r (r=9.5x10^-3)

According to the radius range, velocity can be between 0 and 3.61x10^-2

It is also necessary to check the domain of the function considering it is a square root. The argument of an square root cannot be less than 0. Then:

This is the same limit for velocity obtained before. Then, we can say for velocity that:

5 + 8h

h= number of hours

Replace h by 5 and solve

5 + 8(5)

5 +40

45

She will charge $45

I am going to graph the situation on an external graphing utility and show you the answer, it will take a

minute, stay with me.

So the equation of the line is.

The blue line passes through the points

(-2.6, 1) and (-1.4, 2.5)

I will label the coordinates as follows for reference:

Step 1: Find the slope of the blue line

The slope between two points is calculated with the formula:

We substitute the values and we get that the slope of the blue line is:

The slope m of the blue line is 1.25.

step 2: With that slope, calculate b (the intercept of the blue line with the y axis).

For this we use the point - slope equation:

Where we will use the sane x1 and x2 as in the previous step, so we get

We compare this with the slope-intercept equation

And we can see that the incercept b is 4.25

step 3: Find the value of c.

to find the value of c, we need to know at which point the blue line crosses the x axis.

Since we already have the equation of the blue line y=1.25x+4.25, and the line crosses the x axis at y=0, we substitute this to find the x value that is equal to c:

The blue line crosses the x axis at (-3.4,0), thus we can conclude that

Step 4: Define the two point where the orange line passes through.

We know from the picture that the orange line passes through (c,0) and (0,-b)

Since we have the values of c = -3.4 and b=4.25, we can say that the orange line passes through (-3.4, 0) and (0, -4.25)

Step 5: Calculate the slope of the orange line.

the orange line passes through (-3.4, 0) and (0, -4.25), so we define:

Step-by-step explanation:

right, M = ((xa + xb)/2, (ya + yb)/2) = (3.5, 3.5)

the line through O and M (I assume we need the slope-intercept form) is in general

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, our 2 points : (0, 0) and (3.5, 3.5).

x changes by +3.5 (from 0 to 3.5).

y changes by +3.5 (from 0 to 3.5).

so, the slope "a" is +3.5/+3.5 = 1.

the point (0, 0) gives us "b" (the y-value when x = 0) directly : 0.

so, the line equation is

y = x

4) For every 1 unit that x increases, y will increase by 2 units.​

1) For the function y=5/3x +1/2

If we remember that "rise over run" mnemonics, that'll make it easier to memorize it.

2) Plotting the graph of this function. Look at point A (1,2)

Counting from bottom to up (2 units "rise" on the y-axis, point A is 1 unit to right "run". So, For every 1 unit that x increases, y will increase by 2 units.​

An item is regularly priced at $35.

Cost price of item = $35

Lena bought it on sale for 20% off the regular price

i.e. 20% of 35 is off in the item of cost $35

So, The amount Leena will paid = $35- 20% of 35

So, Leena will pay $28

Answer: $28

Answer: B

Step-by-step explanation:

For the set of ordered pairs to be a function, each x-value has to correspond to only one y-value.

In option A, the x-value of -27 corresponds to both -13 and -12.

In option C, the x-value of 1 corresponds to -1, -27, -26, and -17.

In option D, the x-value of 81 corresponds to both 1 and -1.

The error is that there is no proportional relationship between the ratios which is corrected and can be described as a linear relationship with the help of the equation y = m + 1.

So, the ratios we have:

Then, performing:

Hence, ratios of 1:2 and 2:3 are not equal.

Therefore, the error is that the relationship between the given ratios is not proportional.

As can be seen, each ratio has a difference of 1, that is:

Therefore, when one variable changes by 1, the other variable only changes by a constant value (y = x = c).

The equation has the following form:

Where y stands for the water solution and x for the vinegar component.

Therefore, the error is that there is no proportional relationship between the ratios which is corrected and can be described as a linear relationship with the help of the equation y = m + 1.

Know more about the proportional relationship here:

https://brainly.com/question/12242745

#SPJ13

Given:

To find:

Draw a graph of a line that is perpendicular to the given line and passing through a given point.

Explanation:

As we know that relation between two slopes of perpendicular slopes of lines:

Slope of given line y = 4x + 1 is:

So, the slope of line perpendicular to given line is:

Also, so line equation that is perpendicular to given line is:

Also, the required line is passing thorugh given point (2, 3), i.e.,

So, line equation that is perpendicular to given line is:

The required graph of line is:

Answer:

-45 is an integer

√100 = 10 is a whole number

√89 is an irrational number-root

4.919191... is a rational decimal

-2/5 is a rational number-ratio

.12112111211112... is an irrational decimal

Finnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answers:

=======================================================

Explanation:

Let's say the claim is [tex]\text{x}^2 \ge \text{x}[/tex] true for any real number x. It certainly works for things like x = 5 and x = 27.

A counter-example to show this isn't true is to use x = 0.5

So,

[tex]\text{x}^2 \ge \text{x}\\\\0.5^2 \ge 0.5\\\\0.25 \ge 0.5\\\\[/tex]

The last statement is false, which thereby proves the original claim doesn't work for x = 0.5; by extension, the overall claim of that inequality working for any real number is false.

As you can see, all we need is one counter-example to contradict the claim to prove it false.

Unfortunately one single example is not enough evidence to prove a claim true. Think of it like saying "it's much easier to knock down a sand castle than to build it up".

Instead, we need to use a set of clearly laid out statements and reasons based on previously established theorems.

For the intersection operation we have to look what elements both sets have in common, in this case both E and L has the number 8. Then the second answer is:

Now, the union operation adds the all elements into a single set without repetition, in this case the first answer is:

We are given an arithmetic progression and are requested to find the 100th term of the progression. We need to find the value of x from the question by equating differences.

Now we will find the actual value of our terms.

Common difference, d = 5

Lastly, we employ our AP formula to find the 100th term.

The 100th term is 497

we have

F(x) = x3 + 3x2 - 9x+5

solve by graphing

using a graphing tool

the figure in the attached image

REmember that the zeros

please wait a minute

the roots are -5 and 1

therefore

answer option C and F

To determine statements that are correct, we proceed as follows:

Step 1: We recall the definition of an "equilateral" triangle

An equilateral triangle is one which"

- has all its sides equal to each other

- has all its internal angles equal to 60 degrees each

From the above definition, it can be concluded that

(A) Angles B and C are 60 degrees is a true statement

Step 2: We solve the triangle for x, as follows:

Now, consider the left right-triangle:

Now, we apply the sine trigonometric ratio to obtain the value of x,

Answer:

y - 4 = [tex]\frac{11}{2}[/tex] ( x - 3 )

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~

( 3 , 4 )

( 1 , - 7 )

m = [tex]\frac{-7-4}{1-3}[/tex] = [tex]\frac{-11}{-2}[/tex] = [tex]\frac{11}{2}[/tex]

y - 4 = [tex]\frac{11}{2}[/tex] ( x - 3 )

From the problem statement, we can draw the triangle shows below:

H is the height of the building we will solve for.

Shown below >>>

Firs we need to find the equation of the line

x= clothing donations (pounds)

y= Amount earned (dollars)

We have the next points

(0,0)

(100,400)

We will calculate the slope

Therefore the equation is

y=4x

then if x=2200

y=4(2200)

y=8800

Answer:

Explanation;

Here, we want to get the length of AD

From the information given:

Thus, mathematically:

Now, we can get AD

We simply substitute for the value of x

We have that as:

A negative linear relationship occurs when for increasing x values, the values of y are decreasing.

Observing the graphs, we can see a positive linear relationship for graphs A and C (x - increases, y - increases).

For Graph D, we can observe no correlation.

For graph B, we can observe a negative linear relationship (x - increases, y - decreases).

Answer: Graph B

To find:

Which theorem used to prove that both triangles are congruent.

Solution:

It is given that both triangles are right triangles. So, each one of the corresponding angles is 90 degrees.

angle M is given 73 degrees and angle V is given 73 degrees. So, we can see that two pairs of angles are equal in triangle.

Thus, AA similarity postulate can be use to prove that both triangles are congruent.

Thus, option C is correct.

If Smith uses both medications, then its dosage is the sum of each.

The total dosage of the medication would be 49 ml if he got both medications.

The circles in option B and D has their centers in the second quadrant

Here, we want to know which of the circles have their centers in the second quadrant

Generally, the equation of a circle can be represented as;

where (h,k) represents the center of the circle

Now, let us get the center of each of the circles;

A. (4,-3)

b. (-1,7)

C.(5,6)

D. (-2,5)

The second quadrant has its coordinates in the form (-x,y)

Out of all the options, the option that fits these quadrant is the second and fourth

So the circles in option B and D has its center in the second

ANSWER

P(AuB) = 0.23

STEP-BY-STEP EXPLANATION:

Given information

P(A) = 0.2

P(B) = 0.1

P(AnB) = 0.07

What is P(AUB)

The next step is to substitute the above data into the formula

Given data:

The given equation of the line is y= -4x + 2​.

Substitute 0 for x in the given equation.

Substitute 1 for x in the given equation.

Thus, option (D) is correct.

Given the Addition:

You can find the sum as follows:

1. Covert the Mixed Number to an Improper Fraction:

- Multiply the Whole Number part by the denominator of the fraction.

- Add the result to the numerator.

- The denominator does not change.

Then:

2. Rewrite the Addition:

3. Since the denominators are equal, you only need to add the numerators:

4. Simplifying the fraction, you get:

Hence, the answer is: