Which kinematics equation is a quadratic equation?

By dividing the percentage of community fitness group members who run and play a sport (36%) by those who run for exercise (40%), we find that 90% of the members who run for exercise also play a sport.

To determine the percentage of community fitness group members who run for exercise and also play a sport, we can use the information provided. The question states that 40% of members run for exercise and 36% of members run and play a sport. To find what percentage of members who run also play a sport, we need to find the proportion of runners who are also sport players.

To do this, we divide the percentage of members who run and play a sport by the percentage who only run:

Percentage of runners who also play a sport = (Percentage of members who run and play a sport) / (Percentage of members who run for exercise)

So,

Percentage of runners who also play a sport = 36% / 40% = 0.9

We then multiply by 100 to convert this to a percentage:

0.9 × 100 = 90%.

Therefore, 90% of the members who run for exercise also play a sport.

Answer:

The sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.

Step-by-step explanation:

The given expression is

[tex]3n+3[/tex]

For n=1,

[tex]3(1)+3=6[/tex]

For n=2,

[tex]3(2)+3=9[/tex]

For n=3,

[tex]3(3)+3=12[/tex]

The required AP is

[tex]6, 9, 12, ...[/tex]

Here first term is 6 and common difference is 3.

The sum of n terms of an AP is

[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]

[tex]S_{13}=\frac{13}{2}[2(6)+(13-1)(3)][/tex]

[tex]S_{13}=\frac{13}{2}[12+36][/tex]

[tex]S_{13}=312[/tex]

Therefore the sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.

total hours = 200+50 = 250

 50 were overtime

50/250=0.20 = 20% of the hours were overtime

The exact value of cos 75 is (√6 - √2)/4 or 0.2588190.

Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.

We have to find the exact value of cos 75.

So, The value of cos 75 degrees in decimal is 0.258819045.

Then,

cos 75°

= cos (1.3089)

= (√6 - √2)/4 or 0.2588190

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Answer:

Volume of pyramid B is three times bigger than the volume of pyramid A

Step-by-step explanation:

We are given that:

The volume for 3-D pyramid A is 300 cm³ .

and the volume for 3-D pyramid B is 900 cm³.

We have to tell how many times bigger is volume of pyramid B than volume of pyramid A.

volume of 3-D pyramid B= 900 cm³

                                        = 3×300 cm³

                                       = 3×volume of 3-D pyramid A

Hence, Volume of pyramid B is three times bigger than the volume of pyramid A

Answer:

Step-by-step explanation: 3%

Answer:

A.Sides.

Step-by-step explanation:

The central angle is the angle made by any arc at the center of the circle.Central angle is formed by two rays from the centre which cuts the circle at two points .The part of the two rays which lie inside the circle is the radius of the circle .

We say :

The sides of a central angle are two radii of the circle.

Answer:graphong, substitution, addition

Step-by-step explanation:

The height of the face is 60 inch.

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

As  1inch = 1ft,

then to find out how many inches is  George Washington’s face.

As there are 12inch in a foot

=12*5

=60inches

Thus , his face is 60ft tall.

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The given Quadratic equation is

[tex]4x^2- 8x - 13 = 0\\\\4(x^2-  2 x - \frac{13}{4}) = 0\\\\ (x-1)^2-1^2- \frac{13}{4}=0\\\\ (x-1)^2=\frac{\sqrt{17}}{4}\\\\ x-1=\pm\frac{\sqrt{17}}{4}\\\\ x=1 +\frac{\sqrt{17}}{4} \text{or}     x=1-\frac{\sqrt{17}}{4}[/tex]

These are the steps to determine the roots as well as solve the quadratic equation.

You can find the mistake by looking at the procedure of solving the quadratic equation by completing the square solved above.

Answer:

step 3

Step-by-step explanation:

To find the perimeter of the regular octagon, set the expressions for the sides equal to each other to find the value of x, substitute this value into either of the expressions for the sides to find the side length, and finally multiply the side length by 8.

In mathematics, a regular polygon is a polygon that is equilateral and equiangular. In this case, you have an octagon, which means it has 8 equal sides. If one side is defined as 4/3x - 1/3 and another side is defined as x+7, since it's a regular octagon, all sides must be equal. Therefore, to find the perimeter of the octagon, you need to set the two expressions for the sides equal to each other to find the value of x, and then substitute the value of x into either of the expressions for the sides. Multiply this side length by 8 to get the perimeter.

Here are the steps:

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In a regular polygon, all sides and angles are equal. Given a regular octagon with two sides expressed as 4/3x - 1/3 and x+7, the expressions should be equal since all sides are equal in a regular polygon. Having found x, you can multiply by 8 to find the perimeter of the octagon.

Thus, If a polygon is regular, this means all of its sides have the same length. If we're given that one side of the regular octagon is 4/3x - 1/3 and another side is x+7, these two expressions should be equal to each other since it's a regular polygon. This gives us an equation:

4/3x - 1/3 = x + 7

Solving for 'x' will give us the length of one side of the regular polygon. Once you have the length of each side, you can find the perimeter of the regular octagon by multiplying this length by 8 (since an octagon has 8 sides).

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Answer:

.13 or 13%

Step-by-step explanation:

P = area of shaded region/area of entire board

Entire area:    3.14 * (11 * 11) = 379.94

shaded area: 3.14 * (4 *4) = 50.24

p = 50.24/379.94 = .13 or 13%

Answer:

0.8 P

Step-by-step explanation:

Let the origional price of P

A discount of 20% is given on the item

The price of item=[P(100-d)]÷100

The price of the item= [tex]\frac{p(100-20)}{100}[/tex]

The price of the item= [tex]\frac{p(80)}{100}[/tex]

The price of the item= 0.8 P

If the discount 20% is given on origional price of the item, than the price will be 0.8 P

Hence, the correct answer is 0.8 P

The total amount for the investment is approximately $4062.65.

To calculate the total amount for an investment of $1,250 invested at 9.6% for 12 years and compounded continuously, we can use the formula A = P * e^(rt), where A is the total amount, P is the principal amount, e is the base of the natural logarithm, r is the annual interest rate, and t is the number of years. Plugging in the values, we have A = 1250 * e^(0.096 * 12). Using a calculator, we find that A is approximately $4062.65.

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

The polynomial [tex]2x^{4}[/tex] + 14x³ - 35x² has one possible positive real zero according to Descartes' Rule of Signs. We observe one change of sign in the coefficients. Thus, there is a maximum of one positive real root.

Determining the Number of Possible Positive Real Zeros:

To determine the number of possible positive real zeros of the polynomial  [tex]2x^{4}[/tex] + 14x³ - 35x², we can use Descartes' Rule of Signs. This rule helps us to count the number of sign changes in the polynomial and thus infer the number of positive real roots.

First, let's observe the original polynomial:

[tex]2x^{4}[/tex] + 14x³ - 35x²

We examine the coefficients: 2, 14, and -35. By running our eye across these coefficients:

The polynomial has one sign change. According to Descartes' Rule of Signs, there is a maximum of one positive real root.

Therefore, the number of possible positive real zeros of the polynomial  [tex]2x^{4}[/tex] + 14x³ - 35x² is one.