Simplify 2.19g + 0.59b + 1.49p

Answer:

1.5 is the number.

Explanation:

Let the number be 'n', this is 100% - original number.

When increased by 40%, 100% + 40% = 140%.

140% × n = 2.1

1.4n = 2.1

n = 2.1/1.4

n = 1.5

Hence, the original number is 1.5.

Answer:

c

Step-by-step explanation:

when there is subtraction you add the number with the variable on each side to get it by it's self

+515=y-5+5

20=y

Answer:

A. 10=y

B.-5=y

C.0=5y

D.15=20y

Step-by-step explanation:

Answer:

SP is Rs 800.

Step-by-step explanation:

MP = Rs 875

Discount = Rs 75

so

SP = MP - discount

= Rs 875 - Rs 75

= Rs 800

The given velocity components are:

u = 2xt - 3xyz + 4xyw = 3x - 5yzt + yz

To satisfy the continuity equation, the third velocity component must be of the form

v = -ux - wy

Thus,v = -2xt + 3xyz - 4xy (from u)v = -3x + 5yz t - yz (from w)

The third velocity component

v = -2xt + 3xyz - 4xy - 3x + 5yz t - yz

= -2xt + 3xyz - 4xy - 3x + 5yz (t - 1)

The velocity of the fluid particle is given by,

v = (u, v, w) = (2t, -2t + 3z, 3 - 5zt + y)at (1, 0, 1) and t = 1 (last digit),v = (2, -2, -2)

The acceleration of the fluid particle is given by,

a = (at, av, aw)

= (∂u/∂t, ∂v/∂t, ∂w/∂t)at (1, 0, 1) and t = 1 (last digit),a = (2, 3, -5)

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Answer:

i dot kniw

Step-by-step explanation:

Answer:

86° Fahrenheit

Step-by-step explanation:

F=1.8C + 32

C=30°

Plugging into the formula:

\(F=1.8*30+32\\F=54+32\\F=86\)

The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.

Answer:

86 degrees

Step-by-step explanation:

Answer:

5 days

Step-by-step explanation:

The question above is modeled by the equation :

150 − 8x = 170 − 12x.

After how many days will both have ye same amount :

Number of days = x

Collect like terms

-8x + 12x = 170 - 150

4x = 20

x = 20/4

x = 5 days

The boys will have the same amount in their account after 5 days.

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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Answer:

A cookie is $1.50.

Step-by-step explanation:

Variable x = cost of cookies

For each child means the 7 guests plus Mrs. Perkins' son which equals 8.

Set up an equation:

(2x)8 + (2.75)8 = 46

Use distributive property:

16x + 22 = 46

Isolate variable x by subtracting both sides by 22:

16x = 24

Isolate variable x by dividing both sides by 16

x = 1.5

Check your work:

2(1.5) × 8 + (2.75)8 = 46

3 × 8 + 22 = 46

24 + 22 = 46

46 = 46

Correct!

Answer: $1.50 per cookie

Step-by-step explanation:

We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.

Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)

2.75(8) = $22

Now take the total cost of 8 cupcakes and subtract it from the total.

46 - 22 =  $24

24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.

(2*8)X = 24

16x=24

x= $1.50

Check:

8[ (1)(2.75) + 2X ] = 46

8[ 2.75 + (2) (1.50) ] = 46

22 + 24 = 46

46 = 46

Answer: it is probaly is 1/5

Step-by-step explanation:

Answer:-6

Step-by-step explanation:maybe

New England should be proud of the town hall meeting form of government because it promotes civic engagement and ensures direct participation in decision-making processes.

The town hall meeting form of government is deeply rooted in the history and culture of New England. Christopher Collier, an esteemed historian, believes that this form of government holds significant value and should be a source of pride for the region.

At its core, the town hall meeting allows community members to come together in a direct and democratic setting to discuss and decide on local matters. It fosters civic engagement by providing a platform for individuals to voice their opinions, concerns, and ideas. The participatory nature of these meetings ensures that every citizen has the opportunity to actively contribute to the decision-making process.

Furthermore, the town hall meeting form of government promotes transparency and accountability. By gathering in a public forum, citizens can witness firsthand how decisions are made and hold their elected officials accountable for their actions. This open and inclusive process strengthens the bond between the government and the governed, creating a sense of shared responsibility and trust.

In addition, town hall meetings cultivate a strong sense of community and civic pride. These gatherings provide a space for residents to connect with one another, exchange information, and collaborate on local initiatives. By coming together as a community, New Englanders can collectively address challenges, celebrate achievements, and shape the future of their towns.

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Answer:

\(49x^{6}\)\(y^{8}\)

Step-by-step explanation:

1. Factor 2401 into its prime factors

          2401 = 74

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          2401 = 74

No factors remain inside the root!!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          49 = 72

At the end of this step the partly simplified SQRT looks like this:

        49√(x^12y^16)

2. Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) √(x8)=x4

    (3.2) √(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) √(x5)=x2•√(x)

    (4.2) √(x-7)=x-3•√(x-1)

Applying these rules to our case we find out that

     SQRT(x12y16) = x6y8

Combine both simplifications:

 sqrt (2401x12y16) =

       49x6y8

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In a forest 20% of mushrooms are red, 50% brown, and 30% white. a red mushroom is poisonous with a probability of 20%. a mushroom that is not red is poisonous with a probability of 5%. The probability that a poisonous mushroom in the forest is red is 14%

Probability that a mushroom is red is 20%. Therefore the probability that a mushroom is not red is 100% - 20% = 80%.

The probability that a mushroom is not red and poisonous is 5%. Therefore, the probability that a mushroom is red and poisonous is 20%.

The probability that a mushroom is brown and poisonous is 50% × 5% = 2.5%.

The probability that a mushroom is white and poisonous is 30% × 5% = 1.5%.

Therefore, the probability that a poisonous mushroom in the forest is red is given by;

P(Red/Poisonous) = P(Red) * P(Poisonous/Red) / P(Poisonous)

P(Red/Poisonous) = 20% * 20% / (20% * 20% + 80% * 5% + 2.5% + 1.5%)= 4% / 8% = 1/2 = 50/100 = 50% ∴ 14% ≈ 50%.

Hence, the probability that a poisonous mushroom in the forest is red is 14%.

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

\( x = \dfrac{\log 5}{\log 7} \)

Step-by-step explanation:

\( 7^{2x} - 4 \times 7^x = 5 \)

\( 7^{2x} - 4 \times 7^x - 5 = 0 \)

\( (7^x)^2 - 4(7^x) - 5 = 0 \)

This is a quadratic equation in 7^x.

Let u = 7^x.

Substitute u for 7^x to see the quadratic equation more clearly.

\( u^2 - 4u - 5 = 0 \)

Now we have a factorable quadratic equation in u.

\( (u - 5)(u + 1) = 0 \)

\( u - 5 = 0 \)  or  \( u + 1 = 0 \)

\( u = 5 \)  or \( u = -1 \)

Now substitute back 7^x for u.

\( 7^x = 5 \)  or  \( 7^x = -1 \)

\( 7^x = -1 \) does not have a real solution.

Continue solving \( 7^x = 5 \) for x.

Take log of both sides.

\( \log 7^x = \log 5 \)

\( x \log 7 = \log 5 \)

\( x = \dfrac{\log 5}{\log 7} \)

Answer:

\(x=\log_75\)

Step-by-step explanation:

Given equation:

\(7^{2x}-4 \cdot 7^x=5\)

\(\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:\)

\(\implies (7^x)^2-4 \cdot 7^x=5\)

Subtract 5 from both sides:

\(\implies (7^x)^2-4 \cdot 7^x-5=0\)

\(\textsf{Let \; $u = 7^x$}:\)

\(\implies u^2-4u-5=0\)

Factor the quadratic:

\(\implies u^2+u-5u-5=0\)

\(\implies u(u+1)-5(u+1)=0\)

\(\implies (u-5)(u+1)=0\)

Apply the zero-product property:

\(\implies u-5=0 \implies u=5\)

\(\implies u+1=0 \implies u=-1\)

\(\textsf{Substitute back in \; $u = 7^x$}:\)

\(\implies 7^x=5\)

\(\implies 7^x=-1 \quad \textsf{is not valid as $7^x > 0$}.\)

Therefore, the only valid solution is:

\(\implies 7^x=5\)

\(\textsf{Apply log law}: \quad a^c=b \iff \log_ab=c\)

\(\implies \log_75=x\)

\(\implies x=\log_75\)

Answer:So its simple just forget about the letters add the numbers then place the letter and x

Step-by-step explanation: ( Always Parentheses first) Then i think you divide it by the outside number

Answer:

in order of the picture:

18w+8                           -48x-24

16d+20                          -48p-18

6v-16                              25m-10

-24z+16                          -9n+36

10d-2                             -36k-36

-14j-10                             -9b+6

24j-9                               3v+5

-72v-16                             18h-72

-20f+32                           -7x+8

4p-6                                 45t+72

Step-by-step explanation:

Hope this helps.

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

In regression, the variable s represents the average distance that the observed values fall from the regression line

In this case, we have:

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

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Answer:

$6291.70

Step-by-step explanation:

You have the equation and a value to solve for. So, plug this in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = $6291.70.

Answer:

38.5

Step-by-step explanation:

Use the trapezoid area formula which is (a+b)h/2. We know that a=6, b=8 and h=5.5. Plugging it it to the formula, we get (6+8)*5.5/2 which is 38.5.

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Answer:

38.5 yd²

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

360 - 56 - 106 = 198 degrees

198 / 3 = 66 degrees per unit

angle f = 132 degrees

angle g = 66 degrees

The big-O notation for the growth rate of fines in East Overshoe is O(n), where n represents the number of days the fine goes unpaid.

In the given scenario, the fine increases by $1 for each day the fine goes unpaid. This means that the growth rate of the fine is directly proportional to the number of days. As the number of days increases, the fine increases linearly by $1 for each day.

The big-O notation is a notation used to describe the upper bound or worst-case scenario of the growth rate of a function or algorithm. In this case, the growth rate of the fine is linear because it increases by a constant amount ($1) for each day. Therefore, we can represent the growth rate as O(n), where n represents the number of days.

It's important to note that the big-O notation describes the upper bound of the growth rate and doesn't necessarily represent the exact growth rate in all cases. In this scenario, it assumes that the fine increases by $1 for each day, but there could be other factors or constraints that affect the actual growth rate. However, in terms of the fine amount alone, the growth rate can be described as O(n).

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Answer:

6 times means 6 multiplied by

The sum of a number and 2 means x + 2

x = number

(2+x) × 6

Assuming max value is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }.The function call max(4, 7) is a valid function call.

A valid function call for the given function would be:
max(4, 7)
Here's the step-by-step explanation:
1. The function definition is:
int max(int x, int y) {
 if (x > y){
   return x;
 } else {
   return y;
 }
}
2. In the function call, we need to provide two integer values as arguments to the function. For example, max(4, 7).
3. In this case, the first argument is 4 and the second argument is 7.
4. The function compares the two arguments using the if statement. Since 4 is greater than 7, the condition x > y is true.
5. As a result, the function returns the value of x, which is 4.
Therefore, the function call max(4, 7) is a valid function call.

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The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.

Here, we have,

In real world scenario it means how many laps they can complete per minute.

Let us consider the coordinate on the y-axis and the x-axis be ,

( x₁ , y₁ ) = ( 0, 24 )

( x₂ , y₂ ) = ( 6, 0)

The slope of a line represents the rate of change between two variables.

Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

        = ( 0 - 24 ) / ( 6 - 0 )

        = -4

Since the slope of the line is -4, this means that for every one minute that passes.

The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.

So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.

And that they will finish the race after 6 minutes when they have completed all 24 laps.

Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.

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Answer:

The slope of the line is -1/2, which means that the swimmer completes a lap in 1/2 of a minute

Step-by-step explanation:

The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.

a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).

(i) The free-body diagram of the car is as shown below;

(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.

Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.

Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.

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The required volume of the given composite space figure is 1512 \(cm^3\).

Given that, the rectangular pyramid fits exactly on top of a rectangular prism. The length of the prism is 18 cm, width is 6 cm and height is 9 cm. The length of the pyramid is 18 cm, width is 6 cm and height is 15 cm.

To find the volume of the composite figure formed by the rectangular pyramid on top of the prism, find the volume of prism and pyramid and then add it .

The volume of the prism is given by V1 = length × width × height.

The volume of the pyramid is given by V2 = length × width × height.

The volume of the composite figure is V = V1 +V2.

By using the given data and formula, find the volume of the prism,

Volume of prism V1 = length × width × height.

Volume of prism V1 = 18 × 6 × 9.

Thus, Volume of prism V1 = 972 \(cm^3\) .

By using the given data and formula, find the volume of the pyramid,

Volume of pyramid V2 = (length × width × height)/3.

Volume of pyramid V2 = (18 × 6 × 15)/3.

Thus, Volume of pyramid V2 =  1620/3= 540 \(cm^3\) .

By using above volumes, find the volume of the composite figure.

V = V1 +V2.

V = 972 + 540.

V = 1512 \(cm^3\) .

Hence, the required volume of the given composite space figure is

1512 \(cm^3\)

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Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15