Which of the following is equal to 7 1/4?

Answer:

-1.4 m/sec  [backwards]

Step-by-step explanation:

The energy of the cannon moving should be equal to the energy contained in the cannonball.  Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]

Let x be the speed of the cannon.

Cannonball:  

KE = (1/2)m[tex]v^{2}[/tex]

KE = (1/2)(1kg)(45 m/sec)^2

KE = 22.5   kg*m/sec^2

Cannon:      [The cannon will have the reverse energy]

KE = - (1/2)m[tex]v^{2}[/tex]

22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2

22.5 kg*m/sec^2 = -(33.5 kg)x^2

x^2 = (33.5 kg)/(22.5 kg*m/sec^2)

x^2 = -1.4 m/sec  [backwards]

Answer:

84

Step-by-step explanation:

7 Sizes * 3 Lengths * 4 Colors = 84

The exact values of the remaining five trigonometric functions of theta are

Since tanθ = -√3.

The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

The next trigonometric function of θ is cotθ.

cotθ = 1/tanθ

= 1/-√3

= -1/√3.

Also, tan²θ + 1 = sec²θ

Substituting tanθ = -√3 into the equation, we have

(-√3)² + 1 = sec²θ

3 + 1 = sec²θ

sec²θ = 4

secθ = ±√4

secθ = ±2

Since θ is in the quadrant II,

secθ = -2

Also, cosθ = 1/secθ

= 1/-2

= -1/2

Also, cot²θ + 1 = cosec²θ

Substituting cotθ = -1/√3 into the equation, we have

(-1/√3)² + 1 = cosec²θ

1/3 + 1 = cosec²θ

cosec²θ = 4/3

cosecθ = ±√(4/3)

cosecθ = ±2/√3

Since θ is in the quadrant II,

cosecθ = +2/√3

Also, sinθ = 1/cosecθ

= 1/2/√3

= √3/2

So, the exact values of the remaining five trigonometric functions of theta are

Learn more about trigonometric functions here:

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Answer:

225 children tickets, 450 adult tickets and 500 student tickets were sold

x^2-10x+25

=x^2-5x-5x+25

x(x-5)-5(x-5)

=(x-5)(x-5)

x=5 , x=5

hope it's helpful to you

[tex]x^2 -10x +25\\\\=x^2 -2 \cdot 5 \cdot x +5^2\\\\=(x-5)^2\\\\=(x-5)(x-5)[/tex]

Answer:

9 kg per 3 weeks = 3 kg per week

Therefore, after 4 weeks it is (4 * 3) kilograms or 12 kilograms

Step-by-step explanation:

Answer:

The answer is 4.2,

Hope that helped. x

Step-by-step explanation:

3 x 7 (3*7) = 21

21 divided by 5 = 4.2.

Answer:

4.2

Step-by-step explanation:

Using PEMDAS,

We know that to solve (3*7) divided by 5, we will need to solve what is in the parenthesis.

So, we need to figure out what is 7*3, which is 21.

This is what we have right now:

21 divided by 5

The next step is dividing,

In the end, the answer is 4.2, hope this helped!

Answer:

x = 9

Step-by-step explanation:

75 - 6x = 4x - 15

We want to arrive at an answer that looks like

x = a number,

so we want x on the left side and numbers on the right side.

Remember that whichever operation we do to one side of the equation, we must do to both sides.

Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.

75 - 75 - 6x = 4x - 15 - 75

Simplify both sides.

-6x = 4x - 90

Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.

-6x - 4x = 4x - 4x - 90

Simplify both sides.

-10x = -90

We want x, but x is being multiplied by -10, so we divide both sides by -10.

[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]

Simplify both sides.

x = 9

Answer:

a-2=a-2

Step-by-step explanation:

Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.

Answer:

Step-by-step explanation:

Parentheses are missing in your problem statement if you intend to simplify ...

  [tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]

The "steps" are ...

Answer:

For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!

For part B

0.15 gallons=1.2 pints

Example: .15 x 4= .6

.6 x 2= 1.2 pints

1.2 x 20 seconds= 24 pints!

Hope this helps

Step-by-step explanation:

:)

Answer:

Part A: 52 oz

Part B: 24 pints

Step-by-step explanation:

Part A:

Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.

3 1/4 lb × 16 oz/lb =

= 13/4 × 16 oz

= 13 × 4 oz

= 52 oz

Answer: 52 oz

Part B:

We need to convert from gallons to pints.

1 gallon = 4 quarts

1 quart = 2 pints

That means that 1 gallon = 8 pints.

0.15 gallon/second × 8 pints/gallon =

= 1.2 pints/second

The tap dispenses 1.2 pints/second.

Now we calculate the number of pints dispensed in 20 seconds.

1.2 pints/second × 20 seconds = 24 pints

Answer: 24 pints

Answer:

The answer is going to be A

Step-by-step explanation:

Answer:

-20.54 C

Step-by-step explanation:

Form an equation

-12.94 C = initial temperature

changes -1.9 per hour = -1.9h

h = hour

x = temperature after 4 hours

-12.94 -1.9h = x

substitute 4 for "h"

-12.94-1.9(4) = x

x = -20.54C

Answer:

Step-by-step explanation:

Just multiply -1.9 by 4 then add it to 12.94

Answer:

First Option, log 3x is equivalent to the expression shown

Number 1.

[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,

[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]

Number 2

[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,

[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]

Answer:

Step-by-step explanation:

The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows

ΔPQR has:  PM is a median

So: MR = QM = 3 cm

ANSWER:  MR = 3 cm

Ok done. Thank to me :>

Answer:

d. 7, -14, 28, -56, 112

Step-by-step explanation:

f(2) = -2(7) = -14

f(3) = -2(-14) = 28

f(4) = -2(28) = -56

f(5) = -2(-56) = 112

Answer:

Ayo

Step-by-step explanation:

Thanks bro

The measure for angle W is 80 degree.

A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.

Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.

Given:

We have angles <X= 100, <Y = 130 and <Z= 66.

As, we know that in Trapezium the sum of adjacent angle is 180.

So, <X + <W = 180

100 + <W =180

<W= 180- 100

<W = 80 degree.

Learn more about Trapezium here:

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#SPJ2

Answer:

60

Step-by-step explanation:

Answer:

Image below!

Step-by-step explanation:

Plotting [tex]\underline{y=2x+3}[/tex]

Step 1: determine the y-intercept

[tex](0,3)[/tex]

Step 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)

Step 3: Go to the other side of the graph of the first point (y-intercept)

When you've completed this process, it should look like this:

ITS SQAURE 6

6 SQAURE OFTHE 6

Answer:

Step-by-step explanation:

65%

Step-by-step explanation:

Given: Full capacity= 200000 litres

          Amount of fuel used during flight= 130000 litres

Now, finding percentage of fuel used on the flight.

∴ Percentage of fuel used=  

Solving it, we will get  

∴ 65% of fuel capacity been used in this flight.

Answer:

65%.

Step-by-step explanation:

(130,000/200.000) * 100

= 0.65 * 100

= 65%.

Answer:

5 tacos for 2 guests would mean more for each person, while 2 tacos for 5 guests would mean less for each person

Answer:

kanye west

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

So the taken chocolate weight equals to the original 1 box of chocolate.

Thus there are 200 x 5 = 1000g.

The orginal chocolate has 1000g each.

Answer:

x

Step-by-step explanation:

Since the x- terms are opposites , that is 3x and - 3x , then when the 2 equations are added the x- term will be eliminated.

Using the t-distribution, it is found that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]

The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]

b) t = -1.47

c) 0.0878.

d) Do not reject the null hypothesis.

e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

Item a:

At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:

[tex]H_0: \mu \geq 60[/tex]

At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:

[tex]H_1: \mu < 60[/tex]

Item b:

We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:

[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]

[tex]t = -1.47[/tex]

Item c:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.

Item d:

The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.

Item e:

Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

A similar problem is given at brainly.com/question/24826023

Answer:

if you can only pick one it's e

Step-by-step explanation:

Im 90% sure a and c are both true answers while 70% sure that b and d are both true answers so unless someone says otherwise e is your best bet