Simplify the expression

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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An convenient to make measurements in centimeters and grams  summary the conversions to 5t units are (a) 0.78 cm ≈ 0.078 5t units,(b) 126.2 s ≈ 126.2 5t units,(c) 42.4 cm³≈ 0.0424 t³,(d) 75.7 g/cm³≈ 75.7 t²

To convert the given measurements to 5t units,  to establish the conversion factors between centimeters/grams and 5t units.

1 t = 10 cm (since 1 meter = 100 cm and 1 meter = 10 t)

1 t = 1 kg (since 1 kg = 1000 g and 1 kg = 1 t)

Now, let's convert each measurement to 5t units:

(a) 0.78 cm:

To convert from centimeters to 5t units, we divide by 10 since 1 t = 10 cm.

0.78 cm / 10 = 0.078 t

Therefore, 0.78 cm is approximately 0.078 5t units.

(b) 126.2 s:

Since no conversion factor is given, we assume that 1 second remains the same in both systems. Thus, 126.2 s remains the same in 5t units.

Therefore, 126.2 s is approximately 126.2 5t units.

(c) 42.4 cm^3:

To convert from cm³to 5t units, we need to consider the conversion for volume, which is (1 t)³ = 1 t³= 1000 cm³

42.4 cm³ / 1000 = 0.0424 t³

Therefore, 42.4 cm³is approximately 0.0424 t³ in 5t units.

(d) 75.7 g/cm³:

To convert from g/cm³ to 5t units, we need to consider both the conversion for mass and volume. We have 1 g = 1/1000 kg = 1/1000 t and 1 cm^3 = 1/1000 t³

75.7 g/cm³ × (1/1000 t / 1/1000 t³) = 75.7 t / t³ = 75.7 t²

Therefore, 75.7 g/cm³ is approximately 75.7 t² in 5t units.

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Answer:

where is the equal to sign????

A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2​

Answer:

3 ONE

IS IT RIGHT

The definite integral ∫(1/(\(x^2\) - 9)) dx from 0 to 18 can be evaluated by using partial fraction decomposition.

After decomposing the integrand, the integral simplifies to ∫(1/((x-3)(x+3))) dx.

Evaluating this integral from 0 to 18 yields the value \(x^2\) - 9.

To find the partial fraction decomposition of the integrand 1/(\(x^2\) - 9), we factor the denominator as (x - 3)(x + 3). The decomposition takes the form A/(x - 3) + B/(x + 3), where A and B are constants to be determined.

By finding a common denominator and equating the numerators, we have:

1 = A(x + 3) + B(x - 3)

Expanding and collecting like terms, we get:

1 = (A + B)x + (3A - 3B)

Equating the coefficients of x and the constant terms, we obtain the following system of equations:

A + B = 0

3A - 3B = 1

Solving this system, we find A = 1/6 and B = -1/6.

Now we can rewrite the integral as:

∫(1/(\(x^2\) - 9)) dx = ∫(1/(x - 3) - 1/(x + 3)) dx

Integrating each term separately, we get:

ln| x - 3| - ln| x + 3| + C

To evaluate the definite integral from 0 to 18, we substitute the limits into the expression:

ln|18 - 3| - ln|18 + 3| - ln|0 - 3| + ln|0 + 3|

= ln|15| - ln|21| - ln|-3| + ln|3|

= ln(15/21) - ln(3/3)

= ln(5/7)

Therefore, the value of the definite integral ∫(1/(\(x^2\) - 9)) dx from 0 to 18 is ln(5/7).

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Answer:

0.456 kg

Step-by-step explanation:

If E= Emily's homeroom class students, and S = Santiago's homeroom class students then

The acceleration of the car, which comes to a complete stop, is -0.42857 m/s².

The acceleration of the car can be found using the formula:

acceleration = (final velocity - initial velocity) / time.

In this case, the final velocity is 0 m/s, the initial velocity is 15 m/s, and the time is 35 seconds. Plugging these values into the formula gives:

acceleration = (0 - 15) / 35

acceleration = -15 / 35

acceleration = -0.42857 m/s²

Therefore, the car's acceleration is -0.42857 m/s². This means that the car is negatively accelerating, or decelerating, at a rate of 0.42857 m/s².´

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

53/36

Step-by-step explanation:

56/36 is already in it's simplest form

Answer:

1 17/36

Step-by-step explanation:

Turn each fraction into their LCD (least common denominator)

5/9 turns into 20/36

11/12 turns into 33/36

add 20 + 33 = 53

Keep denominator  53/36

53/36 simplified as mixed number =  1 17/36

Answer:

sam eg

Step-by-step explanation:

Answer:

I think it's 36 because the mean stayed the same when the person walked in the room so the logical inferance is that the person was 36.

Step-by-step explanation: Hope that helped you! (❁´◡`❁)

Answer:

About 60 sales.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Answer:

17.5%

Step-by-step explanation:

We know that there are 35 out of 200 allergic to peanut

So we take

35 divided by 200, then times 100% = 17.5%

So, 17.5  of children are allergic to peanut

Answer: $12,000

Step-by-step explanation:

Step 1: Calculate the discount amount

To find out how much John saved with a 20% discount, we need to multiply the original price of the car by the discount percentage as a decimal:

\(\large \textsf{Discount amount = 0.20 $\times$ \$15,000}\\ \\ \textsf{Discount amount = \$3,000}\)

Step 2: Calculate the new price after the discount

To find out how much John had to pay after the discount, we need to subtract the discount amount from the original price:

\(\large \textsf{New Price = Original Price - Discount Amount}\\ \\\textsf{New Price = \$15,000 - \$3,000}\\ \\\textsf{New Price = \$12,000}\)

Therefore, John had to pay $12,000 after getting a 20% discount on a car that originally cost $15,000.

________________________________________________________

We can check this by calculating the percentage of the new price compared to the original price:

\(\large\boxed{\begin{minipage}{8.5 cm}Percentage change = $\frac{\textsf{(Original Price - New Price}}{\textsf{Original Price}}$ $\times$ 100 \\ \\Percentage change = $\frac{\textsf{15000 - 12000}}{\textsf{15000}}$ $\times$ 100 \\ \\Percentage change = 0.20 $\times$ 100 \\ \\Percentage change = 20\%\end{minipage}}\)

This shows that the new price of $12,000 is 20% less than the original price of $15,000, confirming the discount amount.

________________________________________________________

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a) An equation to show the relationship between the number of gallons of gasoline and the distance driven is r = 25 mpg.

b) The total distance to be traveled using 6.3 gallons is 157.5 miles.

c) If the car is driven 14,000 miles in one year, the gallons of gasoline used would be 560 gallons.

d) If the gasoline costs $4.10 per gallons, the total cost of purchasing gasoline for the year is $2,296.

e) The miles per gallon is 25 mpg.

f) The gasoline cost per mile is $0.164.

Miles per gallon (MPG) shows the distance traveled by a vehicle, measured in miles, per gallon of gasoline.

The mpg is used to assess a vehicle's fuel efficiency.

a) The volume of the car's gas tank = 17 gallons

The distance on a single tank of gas = 425 miles

Let r = the rate of gasoline consumption per mile

An equation to show the relationship between the number of gallons of gasoline and the distance driven = 425/17 = 25 mpg

b) The number of gallons of gas in the tank = 6.3 gallons

The total distance to be traveled using 6.3 gallons = 157.5 miles (6.3 x 25)

c) If the car is driven 14,000 miles in one year, the gallons of gasoline used would be = 560 gallons (14,000/25).

d) The cost of gasoline per gallon = $4.10

The total cost of purchasing gasoline for the year = $2,296 ($4.10 x 560)

e) The miles per gallon = 25 mpg (14,000/560).

f) The gasoline cost per mile = $0.164 (560 x $4.10)/14,000

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Answer:

-7x + 2

Step-by-step explanation:

I believe this is the answer. When I see the word "than" I work backwards. So -7 times x plus 2.

The small angle approximation is also not applicable for gratings with a large number of lines per unit length, as the diffraction pattern becomes more complicated. In these cases, the full grating equation must be used to accurately describe the diffraction pattern.

The small angle approximation assumes that the angle of incidence of light is small relative to the spacing of the grating. However, this assumption may not hold for all gratings. In some cases, the spacing of the grating may be much smaller than the wavelength of light being diffracted, making the small angle approximation invalid.

This is because at larger angles of incidence, the diffraction pattern of the grating becomes more complex, and additional orders of diffraction emerge. These additional orders can lead to interference effects and other phenomena that are not accounted for by the small angle approximation.

In summary, the small angle approximation is a useful tool for analyzing the diffraction of light by gratings, but it has limitations and is not always applicable. For more accurate results, the full grating equation should be used.

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ASA means angle side angle. Hence two angles and the side in between them have to be congruent.

Ex: angle X = angle A, angle Y = angle B, and side XY = side AB

X=A

Y=B

Z=C

keep that in mind as you state the congruence. since Z=C and Y=B, side ZY would have to equal side CB, not a different side.

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

The answer is 2.

Step-by-step explanation:

You have to substitite x = -0.5 into the function :

f(x) = 2x + 3

f(-5) = 2(-0.5) + 3

f(-5) = 2

Answer:

2 pounds

Step-by-step explanation:

10-4-2.40=3.60

3.60/1.80= 2

Answer:

2 pounds

Step-by-step explanation:

Answer:

f(x)= -3x² - 12x - 5

Step-by-step explanation:

-3(x+2)² + 7

-3(x+2)(x+2) + 7

(-3x-6)(x+2) + 7

-3x² - 6x - 6x - 12 + 7

-3x² - 12x - 5

Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

it's going to be the first one, (x+7,-y)

Step-by-step explanation:

take one point, A for example and count how far it moved left and right. left is negative, right is positive, do the same for y

Answer:

d it should be outside the circle

Step-by-step explanation:Hope it helps!!

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