Which function does this graph represent ?

Answer:

8 feet = L

Step-by-step explanation:

The period T(in seconds) of a pendulum is given by T=2 pi root L over 32

T= 2π√(L/32)

where the L stands for Length(in feet) of the pendulum.

If π= 3.14, and the period is 3.14 seconds

Length will be

T= 2π√(L/32)

3.14= 2*(3.14)√(L/32)

(3.14/3.14)/2= √(L/32)

(1/2)²= L/32

1/4 = L/32

32/4= L

8 feet = L

Answer:

x = 36°

Step-by-step explanation:

The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:

5 * 2x = 360

10x = 360

x = 36°

The value of x in the Pentagon is 36.

Option D is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

The sum of the exterior angles of any polygon is 360 degrees.

Since a regular pentagon has 5 sides, the sum of its exterior angles is 360 degrees.

Each exterior angle of a regular pentagon has a measure of:

= 360 degrees / 5

= 72 degrees

We are given that one exterior angle of the pentagon has a measure of (2x) degrees.

2x = 72

Solving for x.

x = 36

Therefore,

The value of x is 36, and the measure of the given exterior angle.

= (2x)

= 72 degrees.

Thus,

The value of x is 36.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

Answer:

let me calculate it

Step-by-step explanation:

and then i will tell you if i can answer it

The points b, c, and a contains 3 planes.

Here,

Given that;

The figure is shown.

We have to find number of planes contains points b, c and a.

What is Planes?

Plane is a flat, two-dimensional surface that extends infinitely far.

Now,

The point b contain planes ABGD, ABCL and BLD.

The point c contain planes ACG, ABLC and CGDL.

The point a contain planes ACLB, ABDG and ACG.

Hence, The points b, c, and a contains three planes.

Learn more about the planes visit:

https://brainly.com/question/17354257

#SPJ2

Answer: 5

Step-by-step explanation:

First of all, keep in mind that absolute value of any real number (positive and negative) is always positive because it stands for the distance from zero, and distance will never be negative.

         i.e. |x|=x, |-x|=x

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

 |-9|-|-4|

=9-4

=5

Hope this helps!! :)

Answer:

[tex]\huge \boxed{5}[/tex]

Step-by-step explanation:

[tex]|-9|-|-4|[/tex]

Apply rule : [tex]|-a|=a[/tex]

[tex]9-4[/tex]

Subtract.

[tex]=5[/tex]

Answer:

Volume A = one third(Volume B)

Step-by-step explanation:

I just took the test

Answer:

Volume A = one third(Volume B)

Step-by-step explanattyy

Answer: 10 : 9

Step-by-step explanation:

GIVEN

20 girls tried out

18 boys tried out

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

The final ratio should be girl to boy

 girl to boy

=20 : 18

=10 : 9 ⇔ divide 2 on both sides (simplify the ratio)

Hope this helps!! :)

Please let me know if you have any question

Answer:

butterflies (b)=50

butterflies in 6 months =20/100×50=10+b =60

butterflies in 12 months =2(6months)

butterflies in 12 months= 120

The population of butterflies after 1 year is 72 butterflies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the present population of butterflies be A = 50 butterflies

The percentage increase after 6 months = 20 %

The population of butterflies after 6 months = present population of butterflies + percentage increase after 6 months

The population of butterflies after 6 months = 50 + ( 20/100 ) x 50

                                                                         = 50 + ( 0.2 x 50 )

                                                                         = 50 + 10

                                                                         = 60 butterflies

The population after 6 more months =  population of butterflies after 6 months + percentage increase after 6 months

The population after 6 more months =  60 + ( 20/100 ) x 60

                                                              = 60 + 0.2 x 60

                                                              = 60 + 12

                                                              = 72 butterflies

Hence , The population of butterflies after 1 year is 72 butterflies

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer: 0.1587

Step-by-step explanation:

Given : The weight load on an airplane pallet is normally distributed with a mean of 250 pounds and a standard deviation of 40 pounds.

i.e. [tex]\mu = 250[/tex] pounds

[tex]\sigma=40[/tex] pounds

Let x be the weight load on an airplane pallet.

Then, the probability that a randomly selected pallet will support more than 290 pounds will be :-

[tex]P(X>290)=P(\dfrac{X-\mu}{\sigma}>\dfrac{290-250}{40})\\\\=P(Z>1)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\\\\=1-0.8413\ \ \ \ [\text{by z-table}]\\\\=0.1587[/tex]

Hence, the required probability is 0.1587 .

Answer:

A e/f

Step-by-step explanation:

[tex]\frac{-e}{-f} = \frac{e}{f}[/tex]

Two negatives always equal one positive

Recall:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Positive = Positive

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

Answer: 20, -7, and -3

Step-by-step explanation:

`1.) 15 plus 8 is 23

23 minus 3 equals 20

2.) -25 plus 5 equals -20

-20 plus 13 is -7

3.) i can see the last one to show work

Answer: Hi!

Your answer is 5/9.

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 3, and get 24.

Then we multiply 1 by 9, and get 9.

Next we give both terms new denominators -- 9 × 3 = 27.

So now our fractions look like this:

24/27 - 9/27

Since our denominators match, we can subtract the numerators.

24 − 9 = 15

So the answer is:

15/27

(After you simplify it, it will be 5/9.)

Hope this helps!

The value of the expression "8/9 minus 1/3" is 5/9.

To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 9 and 3 is 9.

We can convert both fractions to have a denominator of 9:

(8/9) - (1/3)

Multiplying the numerator and denominator of the first fraction by 3, we get:

(8/9) - (1/3)

This gives us:

8/9 - 1/3

Since both fractions now have a common denominator of 27, we can subtract the numerators:

(8 - 3x 1) / 9

= (8-3)/9

= 5/9.

Therefore, 8/9 minus 1/3 is equal to 5/9.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ6

Answer: D

Step-by-step explanation:

Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.

To find the proper y value, we plug x into the equation.

y=-2x+5                                                 [plug in x=-1]

y=-2(-1)+5                                              [multiply -2 and -1]

y=2+5                                                    [add 2 and 5]

y=7

Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.

Answer:

I am pretty sure it is J

Step-by-step explanation:

128 divided by 16 equals 8

Answer:

F

8 ounce per serving

Step-by-step explanation:

128 ounce jug of iced tea.

label says = serves 16 people

therefore, the number of ounces per serving = 128 ounce / 16 serving

= 8 ounce per serving

so the answer is option F

Answer/Step-by-step explanation:

1. (7j³ - 2) + (5j³ - j - 3)

Open the parentheses

7j³ - 2 + 5j³ - j - 3

Collect like terms. Like terms are terms that have the same degree.

7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)

12j³ - j - 5 (this already in descending order)

2. (8a⁵ - 4) + (3a⁵ + a - 2)

Open parentheses

8a⁵ - 4 + 3a⁵ + a - 2

Collect like terms

8a⁵ + 3a⁵ + a - 4 - 2

12a⁵ + a - 6 (in ascending order from largest to smallest degree)

3. (6m² + 1) + (3a⁵ + a - 2)

6m² + 1 + 3a⁵ + a - 2

Collect like terms

6m² + 3a⁵ + a + 1 - 2

6m² + 3a⁵ + a - 1

Rearrange from largest to smallest degree

3a⁵ + 6m² + a - 1

4. (3m⁵ + 1) + (9m⁵ + 3m - 2)

3m⁵ + 1 + 9m⁵ + 3m - 2

Collect like terms

3m⁵ + 9m⁵ + 3m + 1 - 2

12m⁵ + 3m - 1

5. (- 5x² - x + 4) + (- 3x² - 5x + 2)

Open parentheses

-5x² - x + 4 - 3x² - 5x + 2

Collect like terms

-5x² - 3x² - x - 5x + 4 + 2

-8x² - 6x + 6

Answer: B) 0.28

Step-by-step explanation:

Given that:

Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18

                Overweight/Obese      Lean/Healthy               Total

Low          32                                   18                                 50

High         18                                    32                                50

Total         50                                   50                               100

the phi correlation coefficient is defined by Ф = √x²/n

where n = 100 ( total number of response )

x² = [(32×32 - 18×18)² × 100] / [50 × 50 × 50 × 50]

Ф = √ [(700)² x 100) / (50)⁴ × 100

Ф = 700 / 50²

Ф = 0.28

Therefore option B) is the correct answer

Answer:

A. 2(16 + 12)

Step-by-step explanation:

If we look at choice A, it says 2 times 16 + 12.

When we solve this, 2 × 16 = 32 + 2 × 12 = 24, we get 32 + 24 because we used the distributed property on answer A.

The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

Given that;

The expression is,

⇒ 32 + 24

Now,

The greatest common factor of 32 and 24 = 8

So, We can take 8 as common factor, we get;

⇒ 32 + 24

⇒ 8 x 4 + 8 x 3

⇒ 8 (4 + 3)

Thus, The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

Learn more about the distributive property visit:

https://brainly.com/question/2807928

#SPJ2

Hi

(-9+V) /8 = 3

-9/8 +V/8 = 24/8

 -9+V = 24

  V = 24+9

  V = 33

let's check :   -9+33 = 24    and 24/8 = 3

Answer:  (1) 26   (2) 1, 3, 25

Step-by-step explanation:

Let a, b, and c represent the three discs.

a + b + c + 12 + 9 = 50

a + b + c = 29

1) Since a, b, and c are all different numbers then the one possibility is:

a = 1, b = 2, --> c = 26

2) There are many different possibilities for creating a sum of three numbers whose total is 29.

One example is provided above in #1.

Here are few other examples:

1, 3, 25               2, 3, 24            3, 4, 19               4, 5, 20

1, 4, 24               2, 4, 23            3, 5, 18               4, 6, 19

1, 5, 23               2, 5, 22            3, 6, 17               4, 7, 18

Using a system of equations, it is found that:

[tex]x + y + z = 29[/tex]

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

[tex]x + y + z + t + w = 50[/tex]

[tex]x + y + z + 9 + 12 = 50[/tex]

[tex]x + y + z + 21 = 50[/tex]

[tex]x + y + z = 29[/tex]

[tex]x + y + z = 29[/tex]

A similar problem is given at https://brainly.com/question/17096268

Answer:

shifted horizontally to the right 4 units, then stretched vertically by a factor of "3" , and finally shifted vertically up 6 units.

Step-by-step explanation:

Given the function

[tex]f(x)=\frac{3}{x-4} +6[/tex]

we can say that its parent function

[tex]f(x)=\frac{1}{x}[/tex]

was:

shifted horizontally to the right 4 units (given by the 4 units subtracted from the variable x)

stretched vertically by a factor of "3"

and finally shifted vertically up 6 units.

Answer:

Select option D.

Step-by-step explanation:

Notice the input is n and the output is n+4. This simply means you add 4 to the input value. So,

-3 + 4 = 1

1 + 4 = 5

6 + 4 = 10

Cheers.

Answer:

D

Step-by-step explanation:

Triple means 3 times something. "Times" means multiplication and the "something" is h so the answer is 3 * h = 3h.

Answer:

H0:p= 0.80                 H1: p< 0.80  one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80                 H1: p< 0.80  one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237    q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value  does not fall in the critical region  we fail to reject the null hypothesis. There is not sufficient evidence to support  the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z <  -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005  Fail to reject H0.

Answer:

he interval itself is either correct in its estimate [i.e. the true parameter value is in ... year, and then interviews all students in that class, the sampling method is a ... If the target population is all U.S. adults, then a telephone directory would not

Step-by-step explanation:

Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

Answer:

Hey there!

The correct answer would be a line from the point (0, 0) to the point (4, 2).

Let me know if this helps :)

Answer:

140.8 football fields.

Step-by-step explanation:

8 miles = 8 * 1760 yard.

So the number of football fields that he ran

= (8 * 1760) / 100

= 8 * 17.6

= 140.8.

Answer:52

Step-by-step explanation:

How many times can 8 go into 4. 0 so how many times can 8 go into 41 without going over 41.

8 x 5 = 40

41 - 40 = 1

bring down the next number which is 6

16 how many times can 8 go into 16, 2.

8 x 2 = 16

16 - 16 = 0

Start with the first number inside the division bracket (4). Because 8 can't go into 4, include the second number in the division bracket (1). Because 8 can go into 41 with a whole number, put a 5 above the bracket and subtract the value of 5*8 from 41. You should get 1. Then, bring down the 6 to form 16. Because 8 can evenly go into 16 twice, put a 2 next to the 5 above the bracket. Multiply 2*8 and subtract the value from 16.