which linear equation represents a line with a slope of 9494 and a y-y-intercept of 0?

Answer:

The total price that Shai must pay is $62.66. This includes the $25 for the haircut, the $30 for the shave, the $3.56 in state sales tax, and the $4.10 in tip.

Answer:

c. 74.42

Step-by-step explanation:

!! calculate the cost of both services, add the percentage of the sales tax then the tip!

Infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.

If no feasible solution could be created, or if no solution exists that fulfills all of the criteria, then a linear program is infeasible.

Thus, infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.

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The solution to this system of equations is (3,1,-2) which are represented by matrix.

This system of equations can be represented by the augmented matrix:

[tex]\begin{bmatrix}100 & -3 & 0 \\010 & 0 & 1 \\001 & 0 & -2\end{bmatrix}[/tex]

The augmented matrix can be transformed into an upper triangular matrix using row operations:

[tex]\begin{bmatrix}100 & -3 & 0 \\000 & 3 & 1 \\000 & 0 & -2\end{bmatrix}[/tex]

Now, we can use back substitution to solve for the unknowns.

From the bottom row, we can see that z = -2.

From the second row, we can see that y = 1.

Using the top row and the values for y and z, we can solve for x:

100x - 3(1) + 0(-2) = 0

100x - 3 + 0 = 0

100x = 3

x = 3

Thus, the solution to this system of equations is (3,1,-2).

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A. The fastest bird is the spin-tailed swift and the slowest bird is the mallard.

B. the dive speed of the peregrine falcon is faster than any other birds given in the question.

What is speed?

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Here, we have

A.  the speed of a spin-tailed swift is 2843.2m/min.

We have to convert the speed to m/sec.

From above we know that,

1 min = 60 sec

2843.2 m/min = 2843.2m/1minm

2843.2/60 = 47.386m/sec

2843.2 m/min = 47.386m/sec            

The speed of a spur-winged goose is 129.1ft/sec.

We have to convert the speed to m/sec.
From above we know that,

1ft = 0.3048m

129.1ft/sec = 129.1/1sec

129.1ft/sec = 39.349m/sec

Hence, from the above, we can say that the fastest bird is the spin-tailed swift and the slowest bird is the mallard.

B. From part (a) we get,

The speed of the different birds in m/sec is given below:

Spine tailed swift

2843.2m/min = 47.386m/sec

Spur-winged goose

129.1ft/sec = 39.349m/sec

Eider duck

31.3m/sec

Mallard

65mi/h = 29.051m/sec

The dive speed of the peregrine falcon is

322km/h = 322km/1h

              = 322(1000)m/1(3600)sec

             = 89.444m/sec

Hence, the dive speed of the peregrine falcon is faster than any other bird given in the question.

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Answer:

I’m fat

Step-by-step explanation:

eat food, then sleep

With fraction calculation we know that 1 1/2 cups of 1/3 cup is needed in order to make a 1/2 cup.

In order to figure out the amount of 1/3 cup needed to fill a 1/2 cup, we will calculate the fraction with the following fraction division:

1/2 ÷ 1/3

To calculate a fraction division we will need to multiply the first fraction with the inverse of the second fraction and we will get the following calculation:

1/2 × 3/1 = 3/2 = 1 1/2

Therefore to fill a 1/2 cup we will then need 3/2 cups or 1 1/2 cups of a 1/3 cup.

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Answer:

BRO IS GERMAN LOL

Step-by-step explanation:

Answer:

496 + 2 (115) = 496 + 230

Step-by-step explanation:

The standard deviation uses the mean, which is 496 in this example. About 95% of the data falls withinTWO standard deviations from the mean. Double 115 and you get 230.

Answer is 496 + 2 (115) = 496 + 230

The unit rate for the ratio 100 points/ 4 games is 25 points per game

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

Ratio = 100 points/ 4 games

The unit rate is simply the value of the above ratio

However, with a denominator of 1

This means that we evaluate the quotient in the above expression

So, we have the following representation

Ratio = 25 points/ 1 game

Express as unit rate

Unit rate = 25 points per game

Hence, the unit rate is 25 points per game

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The number of tropical fish that this fish tank hold is 5  fish

Given that,

The volume of the fish tank determines how many tropical fish can be kept in an aquarium. The fish tank's inside measures 22 cm, 42 cm, and 50 cm. Water volume needed per fish is 10,000 cubic centimeters.

Dimensions of fish tank :

Length = 22 cm

Width = 42 cm

Height = 50 cm

Volume of fish tank = length x breadth x height

                                = 22 * 42 * 50

                                = 46200 cm³

Each fish requires​ 10,000 cubic centimeters of water.

So, tank will hold number of fishes = 46200 / 10000

                                                          = 4.62

Hence tank will hold 5 fish.

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The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2. the curvature of r(t) at the point (7,1,1), r(t)=<7t,t2,t3> is √14/√490.

The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2.

We are given the point (7,1,1) which is the same as t=1.

Therefore, we can substitute t=1 into the function r(t) to obtain r(1) =<7,1,1>.

From this, we can calculate the derivatives r' and r'' of the function r(t) at the point (7,1,1).

r' = <7,2,3>

r'' = <0,2,6>

Then, we can calculate the curvature κ using the equation κ = |r' × r''|/|r'|3.

κ = |<7,2,3> × <0,2,6>|/|<7,2,3>|3

= |<0,-14,18>|/|<7,2,3>|3

= √14/√490

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Answer:

j

Step-by-step explanation:

Answer:

the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.

Step-by-step explanation:

To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the given equations to eliminate the variable x.

The given equations are 8x - 6y = -20 and -8x + 4y = 24. We can add these equations by aligning the like terms and then combining them. This gives us:

8x - 6y = -20

-8x + 4y = 24

-16x + 8y = -20 + 24

-16x + 8y = 4

Dividing both sides of the equation by 8, we get:

-2x + y = 1/2

Therefore, the solution to the system of equations is x = -1/2 and y = 1/2.

We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -1/2 and y = 1/2 into the first equation, we get:

8(-1/2) - 6(1/2) = -20

-4 - 3 = -20

-7 = -20

This is not a true statement, so our solution is not correct.

One mistake we made was adding the equations instead of subtracting them. If we subtract the second equation from the first equation, we get:

8x - 6y = -20

-8x + 4y = 24

8x - 6y - (-8x + 4y) = -20 - 24

2x - 2y = -44

Dividing both sides of the equation by 2, we get:

x - y = -22

Therefore, the solution to the system of equations is x = -22 and y = -22.

We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -22 and y = -22 into the first equation, we get:

8(-22) - 6(-22) = -20

-176 + 132 = -20

-44 = -20

This is a true statement, so our solution is correct. Similarly, plugging x = -22 and y = -22 into the second equation, we get:

-8(-22) + 4(-22) = 24

176 - 88 = 24

88 = 24

This is also a true statement, so our solution is correct. Therefore, the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.

The surface area of the square base pyramid of slight height 6 inches is 36 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To calculate the surface area of the square base pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the surface area is 36 in².

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Answer:

64

Step-by-step explanation:

The expression into an equivalent form 6(0.7y+0.8z)−4z−6(−0.1z−0.6y) would be; 7.8y + 1.4z

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need the expression into an equivalent form;

6(0.7y+0.8z)−4z−6(−0.1z−0.6y)

This expression could also be given by;

6(0.7y+0.8z)−4z−6(−0.1z−0.6y)

Now, we know that:

4.2y + 4.8z - 4z + 0.6z + 3.6y

Now

7.8y + 1.4z

Hence, the expression into an equivalent form 6(0.7y+0.8z)−4z−6(−0.1z−0.6y) would be; 7.8y + 1.4z

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Sales probability, or sales forecasting, is a process where a company attempts to predict its sales in the future.

Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days

(1 - P(A))*(1 - P(B))* (1 - P(C))* (1 - P(D))* (1 - P(E))

= (1 - 0.15)*(1 - 0.10)*(1 - 0.20)*(1 - 0.20)*(1 - 0.60)

= 0.85* 0.90*0.80*0.80*0.40 = 0.19584

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Answer:

Step-by-step explanation:

Stop Cheating.

Answer: 994 mm^2

Step-by-step explanation:

Let's calculate the surface area of both the triangular surfaces. To find the area of a triangle, we multiply the base by the height and divide by 2. The height is 12 and the base is 33. (12*33)/2 = 198. Since there are two triangular surfaces, we have 198 * 2 = 396 mm^2.

Now we can calculate the base surface, which is 7 * 33 = 231 mm^2 (width times length is the formula for calculating area of a rectangle).

The rectangular surface to the left of the diagram is 16 * 12 = 192 mm^2.

The rectangular surface to the right of the diagram is 25 * 7 = 175 mm^2.

Now we add up all our values: 396 + 231 + 192 + 175 = 994 mm^2.

The number of insects in the fourth generation is 506.25

This is a type of function that are of 3 main parts

the starting or initial value, base function and the exponents

Considering the given problem,  

the starting = 100

the base = 1.5

the exponents = number of generation = x

The function is written as f(x) = starting (base) ˣ

substituting the values

f(x) = 100 (1.5)⁴

= 506.25

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The area of the new rectangular bedroom represented by A'B'C'D 330.75 square feet.

We have that the dimensions of the bedroom on the drawing represented by ABCD are 4.5 inches by 6 inches, using a scale factor of 1 inch = 3.5 feet, we will have the dimensions of the new rectangular bedroom A'B'C'D as;

4.5 × 3.5 feet = 15.75 feet by

6 × 3.5 feet = 21 feet

area the new rectangular bedroom A'B'C'D = 15.75 × 21 square feet

area the new rectangular bedroom A'B'C'D = 330.75 square feet.

Therefore, 330.75 square feet is the area of the new rectangular bedroom represented by A'B'C'D.

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the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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The solution to the expression 4+(−634) is -630

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

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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Step-by-step explanation:

Just write the number in the numerator place.

[tex] \frac{51}{} [/tex]

and then check the decimal point means how many number before is the point.

e. g. here is two numbers.

Then write 1 and 0 in the place of denominator.

Note: write 0 that times in which the decimal point is before the number.

[tex] \frac{51}{100} [/tex]

and at last simplify the fraction. if possible here is not. it is the simplest form of the fraction.

hope understand

The inequality of |-3| > -3 is true.

Inequalities are of two types, > and <. The > sign means that left hand side is greater than the right hand side, while the < sign means that the left hand side is less than than the right hand side.

Any expression between the modulus sign | | indicates that the expression will be positive even if it is negative. For example, |-2| = 2.

Using this property of absolute sign,

= |-3| > -3

= 3 > -3

3 is greater than -3. Hence, the statement is true.

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Answer: A

Step-by-step explanation:

For II,  when the numerator is expanded, it contains terms of ab and a^2 which makes it a quadratic function, not an algebraic function.

For III, tricky one. The a can be cancelled out in the numerator and denominator and the resulting fraction is (b-3)/3. However, this can be further simplified to 1/3b - 1, which makes it not an algebraic fraction anymore.

The value of θ is 45 degrees as sin45° is equal to 1/√2.

Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.

Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.

Given, 2sin²θ = 1

solving the equation

      sin²θ = 1/2

     sinθ = 1/√2

we know sin45° has a specific value 1/√2

   sinθ = sin 45°

now, θ = 45°

hence, the solution is θ = 45 degrees.

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The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 [tex]\leq[/tex] x [tex]\leq[/tex] 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Answer: 119/6

Step-by-step explanation:

-3 1/2 can be written as -7/2

-5 2/3 can be written as -17/3

-7/2 times -17/3 = 119/ 6

-2.05 is the critical value for the left-tailed test .

What is critical z value?

The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.

                               With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.

                      You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.

Given that,

α = 0.02.

left tailed test

Zα = 0.02 = -2.05

critical value = -2.05

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The classification of each pair of angles is given below.

What is an angle?

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Corresponding angle = figure 3 and figure 5

Alternate interior angle = figure 4

Alternate exterior angle = figure 1

None of these = figure 2

Hence, these are the required answer.

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