х – 4 = 1/3 (6x - 54)
Solve this equation for x.

Answer:

C. y = 11.76(0.7)×

Step-by-step explanation:

I calculated it logically

The exponential equation that models the data is  y = 16.8×1.7ˣ.

A relation is a function if it has only One y-value for each x-value.

y = a.rˣ is the exponential function.

We can see that the y-values are decreasing, which means that the growth factor must be between 0 and 1.

Additionally, we can divide the y-value for each x by the y-value for the previous x to get an estimate of the growth factor.

Using this method, we find that the growth factor is approximately 0.85, which means that a possible equation is y = a × 0.85ˣ.

To find the value of a, we can substitute one of the data points into the equation.

Lets use the point (-2, 24), we get:

24 = a × 0.85⁻²

a = 24 / 1.551

a = 15.456

Therefore, the exponential equation that models the data is  y = 16.8×1.7ˣ.

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The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.

Let us assume that, T = the total amount of time Bob spends in the hardware store.

Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1

Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1

Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods

Let us assume that,  T4 = the amount of time it takes for Bob to pay server 2 for his goods

So, the value of total time T will be

T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]

Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution

E[T2] = 6 min.

To find E[T3], the condition on the availability of server 2 after Bob is done with server 1

So, the value of E[T3] will be

E[T3] = E[T3 | Server 2 is free] P(​Server 2 is free) + E[T3 | Server 2 is not free] P(​Server 2 is not free)

= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)

\($$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$\)= 3(1/3) = 1 min. and E[T4] = 3 min.

So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]

or, E[T] = 6+6+1+3= 16 minutes

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Answer:

-4/3

Step-by-step explanation:

2(-2/3)

= -4/3

Answer:

\(( \frac{x}{y} ) \times t \\ \frac{ - 2}{3} \times 2 \\ = \frac{ - 4}{3} \)

Answer:

  4(1000) +11(100) + 24(10,000) +11(1000) = 256,100

Step-by-step explanation:

Maybe you want to add 4000 +1100 to 24(10,000) +11,000.

1 thousand = 10 hundreds, so 4000 = 40 hundreds

  4000 +1100 = (40 +11) hundreds = 51 hundreds

__

1 ten-thousand = 10 thousands, so 24(10,000) = 240 thousands

  24(10,000) +11,000 = (240 +11) thousands = 251 thousands

__

So, we want to add 251,000 and 51 hundreds. The latter can be considered to be 5000 +100, so we have ...

  251,000 +5100 = 251,000 +5,100 = (251 +5) thousands + 1 hundred

  = 256,100

Answer:

coffecient of y is -3

hope it helps you

Step-by-step explanation:

SOLUTION

Since the P-value is 0.026, and this value is less than 0.05 significant level, we have to accept the null hypothesis.

We only reject the null hypothesis when it is greater than 0.05

Therefore, the correct option is Accept the null hypothesis

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Answer:

A BD

Step-by-step explanation:

A diameter has to go through the center and reach the outside of the circle on both ends.

BOD is a diameter

We can call it

DB

Here, we are required to ind the value of d when h(d) = 10.3 as they are related by the function:

h (d) = 2d + 4.3.

The value of d when h (d) = 10.3 is; d = 3

From the function given; h (d) = 2d + 4.3

where, d = diameter of the pipe

and h = height of the water fountain.

Therefore, when h (d) = 10.3;. we have;

Consequently, the value of d when h(d) = 10.3 is;

3 inches.

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Answer:

a very weak relationship between cost and volume

Step-by-step explanation:

The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.

Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.

The Side-Angle-Side rule is the foundation for this query. The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.

According to this rule, the corresponding two angles of one triangle are congruent with the two angles of the other triangle. The side-angle-side postulate is the only congruence rule that can be applied as a result.

Here,

A=D and C=F in triangle ABC and triangle DEF.

We must choose a statement that prevents you from deducing that triangle ABC = triangle DEF.

The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.

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Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

Answer:

8.7

Step-by-step explanation:

Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.

The number of  mac and cheese Abdullah can buy for $20 is 8.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50.

Now, cost of 1 pound of mac and cheese =Total cost/Number of pounds of mac and cheese

= 7.50/3

= $2.50

Then, with $20 Abdullah can by =20/2.50

= 8

Therefore, the number of  mac and cheese Abdullah can buy for $20 is 8.

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Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf

Answer:

P [  x  >  508 ]  = 0,2

Step-by-step explanation:

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [ x ≤ 508 ]   =   ( 508 - 500 ) / 10

P [ x ≤ 508 ]   =  8/10

P [ x ≤ 508 ]   =  0,8

Then

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [  x  >  508 ]  = 1 - 0,8

P [  x  >  508 ]  = 0,2

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\(h(x) = 4 {x}^{2} + 4x + 1 \)

\(h(x) = ({2x + 1})^{2} \)

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The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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Answer:

angles 4 is 88 degrees

Angles 3 is 92 degrees

Step-by-step explanation:

all 3 of angles of a triangle equal 180

47+45=92

180-92=88

Angles 4 is 88 degrees

Now since 3 is on a flat plane next to 4 we subtract 88 from 180 to find angle 3

180-88=92

92 degrees is angle 3

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

\(3\frac{4}{5}\)

Answer:

loser you called me a bad word so now I'm taking points

Step-by-step explanation:

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

Answer:

The answer is 40 because you have a ratio of 4:1 (16:4). If you multiply by ten, it becomes 40:10.

Step-by-step explanation:

Answer:

30 red and 20 yellow as 9 bead and 6 bead is the ratio of 3:2 50 in the ratio of 3:2 is 30=red and 20=yellow

Step-by-step explanation:

Answer:

The first table because the y side is increasing at the same rate . the rate is 4

Answer:

The first discount of 50% means Jason paid 50/100 x £88 = £44 for the jacket.

Then, the second discount of 25% means he paid 75/100 x £44 = £33 for the jacket.

Therefore, the final sale price that Jason paid for the jacket was £33.

In a right triangle, the ratio of the opposite side of one angle to the hypotenuse is called sine.

In this problem the side JK is the opposite side of angle JLK whose value is 63 degrees. The hypotenuse is JL whose value is 8.

So the sine ratio of angle JLK would be

sin L=JK/JL

Substituting the numerical values,

sin 63°=JK/8

This implies JK=sin 63°×8 from wich we will get the value of JK

So, this equation sin 63°=JK/8 will let us solve for jk and the answer is the third one.

Answer:

C

Step-by-step explanation: