an object is dropped from the too of a tower with a height of 1120 feet. neglecting air resistance, the height of the object at a time t seconds is given by the polynomial

Given the position function s(t), you can get the acceleration function by differentiating s twice:

velocity = s'(t) = -5 sin(t ) + 3 cos(3t )

acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )

Then when t = π, the particle's acceleration is

s''(π) = -5 cos(π) - 9 sin(3π)

… = -5 • (-1) - 9 • 0 = 5

Answer:

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Step-by-step explanation:

D = -6.1, E = 9, F = 17.7

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Answer:

Las longitudes solicitadas en yardas son:

Step-by-step explanation:

Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:

Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:

Si:

Entonces:

Cancelamos metros y obtenemos:

En este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:

Si:

Entonces:

Cuando se cancelan los metros se obtiene:

Así, el trayecto B en yardas corresponde a 20.231785 yardas.

Answer:

The correct option is;

c. Q(5, -2), S(-3, 4)

Step-by-step explanation:

In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign

Therefore, we have

The coordinate of the preimage before the reflection across the x-axis = (x, y)

The coordinate of the image after the reflection across the x-axis = (x, -y)

Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)

Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).

The correct option is therefore, Q(5, -2), S(-3, 4).

Interest from first account is :

[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]

Interest form second account is :

[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]

So, total interest is :

[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]

Therefore, total interest is $77.877 .

Answer:

The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Let's consider dividing the unit fraction 1/3 by the whole number 2:

= 1/3 ÷ 2

= 1/3 x 1/2

= 1/6

We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.

This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.

This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.

In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.

This relationship holds true for any unit fraction and any whole number greater than 1.

The resulting quotient will always be smaller than the original unit fraction being divided.

Thus,

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

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Answer:

5n + 60

Step-by-step explanation:

5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60

Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

If you would like to know what percent of 48 is 12, you can calculate this using the following steps:

x% of 48 is 12

x% * 48 = 12

x/100 * 48 = 12      /*100/48

x = 12 * 100 / 48

x = 25%

The correct result would be C. 25%.

Answer:

3(3x−2)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2

Answer:

x = 3b - 4a

Step-by-step explanation:

Given

4a + x = 3b ( isolate x on the left side by subtracting 4a from both sides )

x = 3b - 4a

Answer:

Step-by-step explanation:

AOB=180°

ZOB =c=31°

XOY=b= 40°

AOY= a+b =24+40  = 64°

YOZ =180-a-b -c=180-24-40-31=85°

Hope this helpsxx

Answer:

number b

Step-by-step explanation:

thuy should have written the ratio as 30/39

Answer:A= 1,2 B=1,2 C=-9,10

Step-by-step explanation:

For A=

To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)

For B=

translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)

For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)

Answer:

X=0

Step-by-step explanation:

3x-12=2x-12

3x-2x= -12+12

x=0

Answer:

Brian thought that x 5 0 means that there is no solution

to the equation.

Step-by-step explanation:

Answer:

[tex]y = 1/3x-2[/tex]

Step-by-step explanation:

General line equation:

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

Or

[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]

where a is the slope and b is vertical displacement.

For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.

By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,

[tex]y = 1/3x - 2[/tex]

Answer:

(A) First table

___________

Input: 6, 9, 12

Output: 8, 12, 16

Step-by-step explanation:

To determine whether or not a function is a direct variation, x and y must divide evenly and have a constant factor or factor that stays the same.

B and C don't divide evenly so those are already wrong, and D is wrong because x and y do not divide by the same factor every time.

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

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Answer:

49z - 7

Step-by-step explanation:

like term are having same variable and power.

By these explanation 34z+15z are added and -7 is keep as it is

Answer:

57

Step-by-step explanation:

first do what is in the brackets then the parentheses, then multiply the 3

Answer:57

Step-by-step explanation:

Answer:

m + 10/100(m)

Step-by-step explanation:

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

Answer:

24 cm

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

there is a website where you can make triangles and that would get it 4 u

Step-by-step explanation:

Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

Answer:2+n

Step-by-step explanation:

1. distribute parentheses

=-(-2)-(-n)

2.apply minus-plus rules

=2+n

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed