Solve this equation for k.

3 − 3k + 7k = 5b

Enter the correct answer in the box.

Answer:

The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4

Step-by-step explanation:

Answer:

-4 < x ≤ 1.5

Step-by-step explanation:

First we will need to determine what signs to use for our inequality:

According to the picture, we have one of each

So we need to write an equality for each point and then combine them

The first inequality will be x > -4 because here the shading is "pointing" to the right just as the inequality sign >

The second inequality will be x ≤ 1.5 because here the shading is "pointing" to the left just as the inequality sign ≤

Now to combine, we arrange the two number values that we have from least to greatest with the smallest number being on the leftmost side of the inequality and the larger number being on the rightmost side of the inequality.

Then we put x in the middle and add the signs that we have

So our complete inequality will read -4 < x ≤ 1.5

Answer: 0.007

Step-by-step explanation:

Suppose that you have a ticket.

We have 3 prizes, and 300 tickets.

After the first tiket is drawn, someone win a prize, so now we have 299 tikets left and 2 prizes left.

Then, for the next draw, you have p = 1/299 of wining a prize.

If you did not win there, the probability for the third price is p = 1/298 (because there are 2 less tickets now)

Then the probability of winning at least one prize is:

P = 1/299 + 1/298 = 0.007

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

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The value of the variable x is 22

First, we need to know the scale factor of the measurement.

The scale factor is described as the size measurement for which a shape is being enlarged or reduces.

The formula for scale factor is expressed as;

Scale factor= Dimension of new object/dimension of the original object

Now, substitute the values, we have;

Scale factor = 38/15.2

Divide the values, we get;

Scale factor = 2. 5

Then, to determine the value of x, we have;

x = 55/2.5

Divide the values, we get;

x = 22

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Answer:

$36.65

Step-by-step explanation:

You change 78% to .78 and multiply that by $46.99 and get 36.65.

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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The rate of change in elevation will be:

R = -225m/10s = -22.5 m/s

The airplaen descends at a rate of 22.5 meters per second.

The rate in change of the elevation will be given by the quotient between the change in elevation and the time in which that change happens.

Here we know that the airplane descended 225 meters, so the change in elevation is:

C = -225m

And that change happens in 10 seconds, so the rate of change in elevation will be:

R = -225m/10s = -22.5 m/s

The airplane descends at a rate of 22.5 meters per second.

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Answer:B

Step-by-step explanation:the slope is 1/4, and it crosses the y axis at -2.

\(\cos 30^{\circ}=\frac{6\sqrt{3}}{x}\\\\\frac{\sqrt{3}}{2}=\frac{6\sqrt{3}}{x}\\\\\frac{1}{2}=\frac{6}{x}\\\\\boxed{x=12}\)

The shared side has length \(6\) by the Pythagorean theorem. Thus,

\(y=\sqrt{10^2 -6^2} \implies \boxed{y=8}\)

Answer:

x=2, y=1

Step-by-step explanation:

Given:

y=6x-11

-2x-3y=-7

Substitute y in 2nd equation:

-2x-3y=-7

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-40

x=2

Substitute x in 1st equation:

y=6x-11

y=6(2)-11

y=12-11

y=1

Answer: (2, 1)

Step-by-step explanation:

y=6x-11...(1)

-2x-3y=-7...(2)

Subsitute (1) into (2)

-2x-3y=-7

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x=-40

x=2

Subsitute x=2 into (1)

y=6x-11

y=6(2)-11

y=1

Therefore, the solution of the system is the ordered pair (2, 1)

Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

We are given that:

- Random variable Q is used to represent the number of students who go to a certain teachers office hour each day.

-The standard deviation of Q is 2.2.

Now, standard deviation in relation to mean is defined as the statistic that measures the dispersion of a set of data relative to its mean.

Applying that definition to the question means that the number of students on the average varies from the mean by 2.2.

Thus, option A is correct.

Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

I second the person below me i got it right on asigmnemnt  

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Answer:

5.47% of the total variation between the two variables can be explained by the regression line.

Step-by-step explanation:

Given :

R value = 0.234

The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.

However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².

R² value is Obtained by taking the squared of the correlation Coefficient

Hence,

R² = 0.234² = 0.054756

R² = 0.05476 * 100% = 5.4756%

Hence, R² = 5.48%

This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.

Answer:

like

Step-by-step explanation:

Answer:

A) From the origin, move left 5 units and up 1.

Step-by-step explanation:

You have to start with x, which is -5.To get to a negative on the x axis, you need to move 5 spaces to the left. Then the y, which is 1. To get to 1 on the y-axis, you need to go up 1 space. Therefore, the answer is A.

-Leafie

Answer:

6

Step-by-step explanation:

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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Answer:

Check attachment.

Step-by-step explanation:

I graphed it.

Combinations, as a mathematical term, can be used in various real-world situations, like:

In Mathematics, we use combination when we are choosing things from a larger set of data without caring about the order of arrangement.

For instance, if you want to choose two out of three objects A, B, and C, the combinations would be (A, B), (A, C), and (B, C).

Thus, combinations can be used in gaming, data analysis, manufacturing, etc.

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The value of the range of the exponential function f(x) = 2ˣ + 25 is,

⇒ (25, ∞ )

We have to given that;

the exponential function is,

⇒ f(x) = 2ˣ + 25

Now, We can formulate;

The range of the function is,

⇒ y ∈ (25, +∞)

Hence, The value of the range of the exponential function f(x) = 2ˣ + 25 is,

⇒ (25, ∞ )

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The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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Answer:

Its option D. 9

mark me as brainlist

The answer is

\( \frac{55}{12} \)

and in mix fraction it will be

\(4 \frac{7}{12} \)

and in decimal form,

\(4.583333\)

\(answer \: = 4 \frac{7}{12} \)

5⅚ - 1¼ =

35/6 - 5/4 =

140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12

Answer:5.4

Step-by-step explanation:

Answer:   Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)

Step-by-step explanation:

Given: Width of pencil box = \(5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}\)

Width of seven pencils = \(2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}\)

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\(\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}\)

Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil = (Width of seven pencils ) ÷ 7

\(=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)