2 GEOMTERY QUESTIONS

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

[tex]V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s[/tex]

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

Answer:

7 = 3t + 1

t = 6

....................

7 = 3t - 2t + 3

t = 4

Answer:

C . y= 5x -18

Step-by-step explanation:

[tex](5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)[/tex]

Plug in the values into the following equation

[tex] \frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3} [/tex]

Cross Multiply

[tex]3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75[/tex]

Collect like terms and simplify

[tex]3y = 15x - 75 + 21 \\ 3y = 15x - 54[/tex]

Divide through by 3

[tex] \frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18[/tex]

Steps to solve:

3^2 • 3^-8 • 3^0

~Apple exponent rule [ a^b * a^c = a^b+c ]

3^2-8+0

~Simplify

3^-6

~Use exponent rule [ a^-b = 1/a^b ]

1/3^6

~Simplify

1/729

Best of Luck!

Answer:

3^-6 which equals 1/3^6

Step-by-step explanation:

all you do is add the exponents.

3^0 is equal to 0 so that one doesn't matter, you just cross it out.

now you're left with 3^2x3^-8

so add 2+(-8) which is -6 so the answer is: 3^-6

since the exponent is negative, you put a 1 above the problem, making it a fraction: 1/3^-6

Answer:

Yes

Step-by-step explanation:

Yes, 80 can be written in the form a / b where a and b are integers. In this case, a = 80 and b = 1. Plus, 80 itself is an integer and all integers are rational numbers.

Answer:

x < - 3

Step-by-step explanation:

Given the interval (- ∞, - 3 )

The parenthesis on both ends indicates that x cannot equal the end values.

Thus

x < - 3 represents the interval

Answer:

A and D.

Step-by-step explanation:

4 is an integer which is a whole number.

3.2 is a decimal, so it is not a whole number.

4/7 is a fraction that cannot be simplified.

8/4 is a fraction that can be simplified to give 2, a whole number.

Answer:

157

Step-by-step explanation:

Answer:

(a) The next 3 terms in the sequence are 17, -31, and 65

(b) The 3 terms that came before -7 are 2, -1, and 5

Step-by-step explanation:

a. To determine the next 3 terms in the sequence after -7,

From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.

Then, for the next number after -7, we will get

-7 × -2 = 14; 14 + 3 = 17

For the second number after -7, we will get

17 × -2 = -34; -34 + 3 = -31

For the third number after -7, we will get

-31 × -2 = 62; 62 + 3 = 65

Hence, the next 3 terms are 17, -31, and 65

(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2

Hence, the previous number to -7 (that is, the third term in the sequence)

-7 -3 = -10; -10 ÷ -2 = 5

Then, the second term will be

5 - 3 = 2; 2 ÷ -2 = -1

and the first term will be

-1 -3 = -4; -4 ÷ -2 = 2

Hence, the 3 terms that came before -7 are 2, -1, and 5

Step two is wrong, the answer would have been 9 instead of 8.

Answer:

Step 2 is incorrect

Step-by-step explanation:

8d = 72

Divide each side by 8

8d/8 = 72/8

d = 9

Step 2 is incorrect

.Answer: When we find the product of any two polynomials, we just multiply each term of the first polynomial by each term of the second polynomial then simplify. When we find the product of two binomials, we can use a technique known as the FOIL method. FOIL is an acronym which stands for First, Outside, Inside and Last.

Step-by-step explanation:

Answer:

$4501

Step-by-step explanation:

Since we are already given the amount gained in 4 years, we simply need to subtract the same amount to find the balance 4 years ago.

4709-208=4501

$4501

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

m∠JKL = m∠JMK + m∠KML

Since, m∠KML + m∠HML = 180° [Linear pair of the angles]

m∠HML = 180° - m∠KML

              = 180° - 132°

              = 48°

Therefore, m∠JML = 41° + 48°

                               = 89°

Since measure of angle JML is less than 90°, by definition of an acute angle it will be an acute angle.

Option (2) will be the answer.

Answer:

The answer is acute bru

Step-by-step explanation:

Answer:

The answer should be  x ≤ 5

Answer:

its 15 to 82

Step-by-step explanation:

add 67 and 15 to get 77 add 5

Answer:

15:82

Step-by-step explanation:

15:(67+15)  [Because ratio of the number of sundaes without nuts to the total number of sundaes]

=>15:82

Answer:

50.27

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

[tex]r = 4 \\ \pi = 3.14 \\ area = \pi {r}^{2} [/tex]

Input the values into the equation

[tex]3.14 \times {4}^{2} \\ = 3.14 \times 16 \\ = 50.24[/tex]

Answer:

The measure of the three angles are;

The first angle is 62°

The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B  therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

Answer:

A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.

Step-by-step explanation:

[tex]\bf Step-by-step~explanation:[/tex]

Remember: In math, a plane is a flat, two-dimensional surface that stretches infinitely far in all directions.

An example of a plane would be the photo below.

The purple rectangle is one plane, and the brown one is another one. If there are points there, then they would be on both planes if the points lie exactly on the intersection between the two planes.

We label planes when they have a letter (K, M, etc.), or if there are three non - collinear points on one plane, we take those letters and make them into the plane's name. (ex: Plane AGE, QDE, etc.)

Answer:

Step-by-step explanation:

5x - 17 + 3x - 11 = 180

8x - 28 = 180

8x = 208

x = 26

Answer:

The answer would be x=26

Step-by-step explanation:

A conditional statement (also called an If-Then Statement) is a statement with a hypothesis followed by a conclusion. ... The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.

Answer:

Hay 403 chicas que disfrutan las matemáticas en este colegio.

Step-by-step explanation:

Podemos obtener las siguientes pistas tras una lectura cuidadosa del enunciado:

1) Existen 627 alumnos entre hombres y mujeres en el colegio.

2) La cantidad de chicas es el duplo de la cantidad de chicos.

3) Solo a 15 chicas les disgusta las matemáticas.

Matemáticamente hablando, podemos construir las siguientes tres fórmulas:

[tex]x+y = 627[/tex] (1)

[tex]y = 2\cdot x[/tex] (2)

[tex]m = y - 15[/tex] (3)

Donde:

[tex]x[/tex] - Cantidad de chicos en el colegio, adimensional.

[tex]y[/tex] - Cantidad de chicas en el colegio, adimensional.

[tex]m[/tex] - Cantidad de chicas que disfrutan de las matemáticas en el colegio, adimensional.

Al eliminarse [tex]y[/tex] en (1), se puede hallar la cantidad de chicos en el colegio:

[tex]x + 2\cdot x = 627[/tex]

[tex]3\cdot x = 627[/tex]

[tex]x = 209[/tex]

Hay 209 chicos en el colegio.

Por (2) podemos determinar la cantidad de chicas:

[tex]y = 2\cdot (209)[/tex]

[tex]y = 418[/tex]

Hay 418 chicas en el colegio.

Finalmente, se calcula la cantidad de chicas del colegio que disfrutan las matemáticas por (3):

[tex]m = 418-15[/tex]

[tex]m = 403[/tex]

Hay 403 chicas que disfrutan las matemáticas en este colegio.

Answer:

(6+5)+9=20

Step-by-step explanation:

Answer:

Number of hot chocolate = 250

Number of coffee = 25

Step-by-step explanation:

Given:

Total income = $200 = 20,000 cents

Number of total item sell = 275

Amount of each hot chocolate = 75 cents

Amount of each coffee = 50 cents

Find:

Number of each drink sold

Computation:

Assume

Number of hot chocolate = x

Number of coffee = 275 - x

So,

Total income = [Number of hot chocolate][Amount of each hot chocolate] + [Number of coffee][Amount of each coffee]

20,000 = [x][75] + [275-x][50]

20,000 = 75x + 13,750 - 50x

x = 250

Number of hot chocolate = 250

Number of coffee = 275 - 250

Number of coffee = 25

Answer: 250 Hot chocolates 25 Coffee

Step-by-step explanation:

Answer,

The answer should be

B

Answer:

Figure A i don't know

Step-by-step explanation:

Answer:

the answer is A. Figure A

Answer:

its a yes i think

Step-by-step explanation:

the value is probably

Answer:

substitute 8 into x =(8-2)2

(6)2=12

Answer:

r^14

multiply r^5xr^9 by adding the exponents

Answer:

I think its 22/25 , 0.8888, and then 8/9

Step-by-step explanation:

first convert them to decimals

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