Two ratios equivalent to 2:9.

Answer:

\(36.35 - 2.41 \\ = 33.94\)

Answer:

33.94

Step-by-step explanation:

Just subtract 2.41 from 36.35 and you get the answer. Easy!

Answer:

x = 57.8°

explanation:

\(\sf sin(x)= \dfrac{opposite}{hypotensue}\)

\(\hookrightarrow \sf sin(x) = \dfrac{11}{13}\)

\(\hookrightarrow \sf x = sin^{-1}(\dfrac{11}{13} )\)

\(\hookrightarrow \sf x = 57.8\)

Answer:

57.8° (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio:

\(\mathsf{\sin(\theta)=\dfrac{O}{H}}\)

where:

Given:

\(\implies \mathsf{\sin(x)=\dfrac{11}{13}}\)

\(\implies \mathsf{x=\arcsin\dfrac{11}{13}}\)

\(\implies \mathsf{x=57.8 \textdegree \ (nearest \ tenth)}\)

The Dominated Strategies in the Chicken game are for Player 1 to choose Chicken and for Player 2 to choose Macho.

The Dominated Strategies in the Chicken game are the strategies that are always worse than another strategy, no matter what the other player does. In this case, the Dominated Strategy for Player 1 is to always choose Chicken, because it will always result in a lower payoff than choosing Macho. Similarly, the Dominated Strategy for Player 2 is to always choose Macho, because it will always result in a lower payoff than choosing Chicken.

In the matrix form, the Dominated Strategies can be seen as follows:

Player 2
Chicken | Macho
Player 1
Chicken | 0, 0 | -1, 1
Macho | 1, -1 | -100000, -100000

The Dominated Strategy for Player 1 is to choose Chicken, because it will always result in a lower payoff than choosing Macho (0 < 1 and -1 < -100000). The Dominated Strategy for Player 2 is to choose Macho, because it will always result in a lower payoff than choosing Chicken (1 < 0 and -100000 < -1).
Therefore, the Dominated Strategies in the Chicken game are for Player 1 to choose Chicken and for Player 2 to choose Macho.

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1.  You would need 48 scoops of powder to make a gallon of drink mix.

2. The actual width of the building is approximately 1,026.32 cm.

3. The actual distance between Terre Haute and St. Louis is approximately 166.48 miles.

1. To find out how much powder is needed to make a gallon of drink mix, we need to first determine the ratio of powder to water and then calculate the amount of powder required for one gallon.

The given ratio is 3 scoops of powder to 8 ounces of water. Since there are 128 ounces in a gallon, we can set up the following proportion:

3 scoops powder / 8 ounces water = x scoops powder / 128 ounces water

Cross-multiplying and solving for x, we get:

8x = 3 * 128

8x = 384

x = 384 / 8

x = 48

Therefore, you would need 48 scoops of powder to make a gallon of drink mix.

2. If the model of the building is 5 cm wide and the actual length of the building is 140.9 m, we can use the scale of the model to find the actual width of the building.

The scale is given as 5 cm represents 68.7 cm. Let's set up a proportion:

5 cm / 68.7 cm = x cm / 140.9 m

To convert 140.9 m to cm, we multiply by 100 (since there are 100 cm in a meter):

140.9 m * 100 = 14,090 cm

Now, we can solve for x:

(5 cm * 14,090 cm) / 68.7 cm = x cm

x = 1,026.32 cm

Therefore, the actual width of the building is approximately 1,026.32 cm.

3. To determine the actual distance between Terre Haute and St. Louis, given the map distance from Terre Haute to St. Louis is 1.9, we need to find the scale of the map.

The given map distance from Cincinnati to Terre Haute is 2.1, and the actual distance is 184 miles. Let's set up a proportion:

2.1 / 184 = 1.9 / x

Cross-multiplying and solving for x, we get:

2.1x = 1.9 * 184

2.1x = 349.6

x = 349.6 / 2.1

x ≈ 166.48

Therefore, the actual distance between Terre Haute and St. Louis is approximately 166.48 miles.

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Answer:

sqrt53

Step-by-step explanation:

So here I'm assuming you need to know the hypotenuse of the triangle. Since it is a right triangle, we are able to use Pythagorean's theorem which is a^2 + b^2 = c^2.

We can set a = 2, b = 7, and solve for c.

2^2 + 7^2 = c^2

4 + 49 = c^2

53 = c^2

c = sqrt53

Answer:

B. 5

Step-by-step explanation:

This table does not describe a linear relationship. This is because the table does not have a constant rate of change; between the first two points, the function changes by

(1/2 - 1/10)/(0--1) = (5/10 - 1/10)/(1) = 5/10 - 1/10 = 4/10 = 2/5

Between the second two points, the function changes by

(5/2-1/2)/(1-0) = (4/2)/1 = 4/2 = 2

Comparing the first two y-coordinates, we have 1/10 and 1/2 = 5/10. This is the result of multiplication by 5.

Comparing the second two y-coordinates, we have 1/2 and 5/2. This is the result of multiplication by 5.

Comparing the rest of the y-coordinates, we can see that each time, the y-coordinate is multiplied by 5. This means the rate of change is 5.

The age of Jeremy could be less than 22 years

From the question, we have the following parameters that can be used in our computation:

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

Answer:a

Step-by-step explanation:

x=8 +y3681

Answer:

c = 9

Step-by-step explanation:

2c - 5 = c + 4

Subtract c from both sides

c - 5 = 4

add 5 to both sides

c = 9

Hope this helps:)

Answer:

5.5

Step-by-step explanation:

It asks for just the Stevens family, so the first sentence is a trick.

Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.

Linda contributed $3,355.56 to social security in 2003.

The Social Security tax is a payroll tax that is deducted from employees' paychecks to help fund the Social Security program, which provides retirement, disability, and survivor benefits to eligible individuals.

The Social Security tax rate is typically 6.2% for employees and employers, and the maximum amount of taxable earnings is determined each year by the Social Security Administration (SSA).

In 2003, the maximum taxable earnings was $87,000. This means that any earnings above $87,000 were not subject to Social Security taxes.

To calculate Linda's contribution to social security in 2003, we will use the given social security tax rate of 6.2% and her income of $54,122.

Convert the tax rate percentage to a decimal by dividing by 100.
6.2% / 100 = 0.062

Multiply Linda's income by the decimal tax rate.
$54,122 * 0.062 = $3,355.56

Linda contributed $3,355.56 to social security in 2003.

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Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎

Answer:  7x²  - 14x

Steps: 7(-2x + x²)

Apply the distributive law [ a(b + c) = ab + ac ]:   7(-2x) + 7x²

Apply negative/positive rules:  -7 × 2x + 7x²

Simplify: 7x²  - 14x

Answer: 756: 1764

756 girls and 1,764 boys

Step-by-step explanation:

Girls to boys- 3:7

Total Students: 2,520

Using the information given, you will create an equation.

3x + 7x = 2,520

10x = 2,520

X = 252

Now you plug-in 252 for x in your ratio

X is the the number of people

3(252) : 7(252)

756: 1764

Now when you add these numbers, you get 2,520 which is the total number of students in all. This proves your answer to be correct.

Hope this helps!

The number of girls were in the class is 756 and the number of boys were in the class is 1764.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the number of girls to the number of boys was 3 to 7.

2,520 students were present

Now, 3+7 =10

Number of girls =3/10 ×2,520

= 756

So, the number of boys =2520-756

= 1764

Therefore, the number of girls were in the class is 756 and the number of boys were in the class is 1764.

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The solution to the given ordinary differential equation is\(\(y = -2x - \frac{2}{x} + Ce^{-\frac{1}{x}}.\)\)

To solve the given ordinary differential equation (ODE) \(\(\frac{dy}{dx} = \frac{y^2 + 2xy}{x^2}\)\), we can employ separation of variables.

Rearranging the equation, we have\(\(\frac{dy}{dx} = \frac{y^2}{x^2} + \frac{2y}{x}.\)\)

Next, we can separate the variables by multiplying both sides by\(\(x^2\)\)to get \(\(x^2 \frac{dy}{dx} = y^2 + 2xy.\)\)

We can rewrite this equation as\(\(x^2 \frac{dy}{dx} - y^2 - 2xy = 0.\)\)

Factoring out a \(\(y\)\) term, we have\(\(x^2 \frac{dy}{dx} - (y^2 + 2xy) = 0.\)\)

We can now rewrite this equation as\(\(x^2 \frac{dy}{dx} - y(y + 2x) = 0.\)\)

Separating the variables, we get \(\(\frac{dy}{y(y+2x)} = \frac{dx}{x^2}.\)\)

By integrating both sides, we obtain\(\(\ln|y| - \ln|y+2x| = -\frac{1}{x} + C.\)\)

Simplifying further, we have \(\(\ln\left|\frac{y}{y+2x}\right| = -\frac{1}{x} + C.\)\)

Exponentiating both sides, we get \(\(\frac{y}{y+2x} = e^{-\frac{1}{x}+C}.\)\)

Simplifying and rearranging, we arrive at the solution \(\(y = -2x - \frac{2}{x} + Ce^{-\frac{1}{x}}.\)\)

Therefore, the solution to the given ODE is \(\(y = -2x - \frac{2}{x} + Ce^{-\frac{1}{x}}.\)\)

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Answer: 0< x < 3

Step-by-step explanation:

Hope this helps!

Answer:

15

Step-by-step explanation:

1 package = 3 erasers

Therefore, 5 packages = 5 x 3 = 15 erasers

The all values have been obtained.

As per data function is:

f(x, y, z) = xe + 4z cos'(Inx)

To find: Directions in which f(x, y, z) increases and decreases most rapidly at P(1, In2, 1/2) and Rates of change in these directions.

Let's first calculate the gradient vector,

∇f(x, y, z) = ∂f/∂x i + ∂f/∂y j + ∂f/∂z k,

∂f/∂x = eˣ + 4z cos'(lnx) * 1/x

∂f/∂y = 0

∂f/∂z = 4cos'(lnx)

Rate of change of f(x, y, z) at P(1, In2, 1/2) in the direction of vector,

v = ai + bj + ck is given by

D_vf(P) = ∇f(P).v

Now we need to find a unit vector in the direction of increasing f(x, y, z) and another unit vector in the direction of decreasing f(x, y, z) most rapidly.

Let's find the unit vector in the direction of increasing f(x, y, z) by taking

v = ∇f/|∇f| and the unit vector in the direction of decreasing f(x, y, z) most rapidly by taking

v = -∇f/|∇f|.

For increasing:

|∇f| = √(eˣ + 4z cos'(lnx) * 1/x)² + 0² + 4²

     = √(e¹ + 4 * 1/2 * 1/1)² + 16

     = √45v1

     = (1/sqrt(45))(∂f/∂x i + ∂f/∂y j + ∂f/∂z k)

At P(1, In2, 1/2) is

v1 = (1/sqrt(45))(e¹ + 4 * 1/2 * 1/1 i + 0 j + 4 k)

   = (1/sqrt(45))(e + 4k)

For decreasing:

|∇f| = √(eˣ + 4z cos'(lnx) * 1/x)² + 0² + (-4)²

     = √(e¹ + 4 * 1/2 * 1/1)² + 16

     = √45v2

     = (-1/sqrt(45))(∂f/∂x i + ∂f/∂y j + ∂f/∂z k)

At P(1, In2, 1/2) is

v2 = (-1/sqrt(45))(e¹ + 4 * 1/2 * 1/1 i + 0 j + 4 k)

    = (-1/sqrt(45))(e + 4k)

Now, we need to find the rates of change in the directions v1 and v2. Rate of change of f(x, y, z) at P(1, In2, 1/2) in the direction of v1 is,

D_v1f(P) = ∇f(P).v1

             = (1/sqrt(45))(e + 4k).(e + 4k)

            = (1/sqrt(45))(e² + 16)

            = (1/sqrt(45))(e² + 16)

For the direction of v2,Rates of change of f(x, y, z) at P(1, In2, 1/2) in the direction of v2 is,

D_v2f(P) = ∇f(P).v2

              = (-1/sqrt(45))(e + 4k).(e + 4k)

              = (-1/sqrt(45))(e² + 16)

              = -(1/sqrt(45))(e² + 16)

Therefore, Direction of increasing is (1/sqrt(45))(e + 4k), direction of decreasing is (-1/sqrt(45))(e + 4k), rates of change in the direction of increasing is (1/sqrt(45))(e² + 16) and rates of change in the direction of decreasing is -(1/sqrt(45))(e² + 16).

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Answer:

P(person will vote for the Republican candidate|person is a Republican)

= number of people who will vote Republican and are Republicanstotal number of Republicans

= 142160=0.888

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trust bro

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

Answer:

The sale is 5% off.

Step-by-step explanation:

You need to find the percentage that deducts $1.25 from the regular price. I start with 5% and work my way up from there until I find the answer.

So, 5% of 25 = ?

5% * 25 = 1.25

You needed $1.25, 5% gives you that.

Therefore, the answer is 5%.

2x+4x+10=180°

⇔ 6x=170°

⇔x≈28,3°

⇒2x=28,3*2=56,6°

⇒4x+10=123,2°

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

r = \(\frac{-6}{7}\)

r = 1

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

...

Answer: Median!

Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

Answer:

Firstly arrange the numbers in order then cancel from the beginning numbers to end numbers then middle one is the answer

Answer:

30&110

55&85

70&70

Step-by-step explanation:

Answer BCE

Step-by-step explanation:

I'm just too smart

Answer:

There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets

Step-by-step explanation:

Let x represent the number of reserved tickets, y represent the number of field level tickets and z represent the number of box seat tickets.

Given that 10 total tickets were bought for $370, hence this can be represented by the equation:

20x + 50y + 100z = 370          (1)

x + y + z = 10        (2)

Also there was twice as many reserved tickets as field-level tickets. This can be represented by the equation:

x = 2y

x - 2y = 0             (3)

solving equations 1, 2, and 3 simultaneously gives:

x = 6, y = 3 and z = 1

There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets

Step-by-step explanation:

52 + 14 < 3x

66 < 3x

66/3 < x

22 < x

Answer:

x > 22

Step-by-step explanation:

52- 3x<-14

-3x < -14 -52

-3x < -66

x > 22