Solve for x.

x³ = 216

Enter your answer in the box.

x =

[tex]x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle[/tex]

different approach:

[tex]x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0[/tex]

see attachment

[tex]x\in\langle-4,4\rangle[/tex]

[tex]~~~~~~x^2 \leq 16\\\\\implies -\sqrt{16} \leq x\leq \sqrt{16}\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4][/tex]

The correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

The complete figure is attached with the answer below.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

In the given figure of option A, we can see that the hypotenuse is 6.7 and the base is 4.3 and the angle between both the sides is x. Now we will calculate the angle of cosine x.

Cos(x)= Base / Hypotenuse

Cos(x) = ( 4.3 / 6.7 )

(x) = Cos⁻¹ ( 4.3 / 6.7)

Therefore the correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

The answer is A

Step-by-step explanation:

Just took the test

There was a missing data point in the Homework Grade.  So I put a 74 to get 8 data points on each variable.

Put these data points in Excel.  In the Data Analysis tab, scroll down and click on Regression.  Input Y range for Test Grade and Input X range for Homework Grade.

y = -0.4x + 98.3

correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

When you increase your homework score by 1 point, you lose 0.4 points on your test.

-0.4x + 98.3 = 74

→  -0.4x = -24.3  

→  x = 60.75 ≈ 61

A student will earn a 61 on his/her homework if he/she earns a 74 on an exam.

To learn more about the correlation visit:

https://brainly.com/question/4219149

#SPJ1

Answer:

135 degrees

Step-by-step explanation:

Just took the test...

Answer:

135 degrees

Step-by-step explanation:

180 (n - 2)

180 (8 - 2)

180(6)

1080 divided by 8

135 is your answer.

Step-by-step explanation:

log(79) = 1.897627091... ≈ 1.90

Step-by-step explanation:

the angle CDB is the supplementary angle to 9x+10 (angle ADC).

that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.

and then, the sum of all angles in a triangle is always 180°.

so,

CDB + (4x + 10) + 50 = 180

CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x

therefore,

(170 - 9x) + (4x + 10) + 50 = 180

170 - 9x + 4x + 10 + 50 = 180

-5x = -50

5x = 50

x = 10

angle CDB = 170 - 9x = 170 - 90 = 80°

Answer:

The question was most likely asking for exponential form.(The list shows questions 16 through 20, not 1 through 5.)

Answer:

B

Step-by-step explanation:

a difference of cubes factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

given

p³ - 343q³

= p³ - (7q)³ ← a difference of cubes , then

= (p - 7q)(p² + 7pq + 49q²) ← in factored form

Answer:

the value of cos 0 is 7

Step-by-step explanation:

because you have to times it twice

Answer:

Between 0 and 1

Step-by-step explanation:

Cos Θ is the x coordinate of the unit circle. The points of that circle in quadrant IV have an x coordinate of 0≤x≤1.

The rectangle and the translated rectangle have been plot and the image is attached.

A rectangle is a polygon with four sides , opposites sides of the polygon are equal and parallel.

To draw a Rectangle having vertices A(1,1), B (1,5), C(5,5) and D (5,1).

and a rectangle with translation (2,1)

After translation the new points are

A(3,2) ,B (3,6) , C(7,6) , D(7,2)

The rectangle and the translated rectangle have been plot and the image is attached.

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ1

(1) The missing term in the sequence, a₁₂  = 0.8.

(2) The missing term in the sequence, a₈ = 102.5.

(3) The missing term in the sequence, a₈ = 111.

(4) The missing term in the sequence, a₁₂ = -19.

(5) The missing term in the sequence, a₁₂ = 94.

(6)  The missing term in the sequence, a₆ = 40.

(7)  The missing term in the sequence, a₃₆ = -52.

(8)  The missing term in the sequence, a₂₁ = -58.

The missing term in the sequence is determined as follows;

Tₙ = a + (n - 1)d

T₄ = a + 3d

18.4 = a + 3d  ---(1)

T₅ = a + 4d

16.2 = a + 4d  ---(2)

subtract (1) from (2)

-2.2 = d

18.4 = a + 3(-2.2)

a = 25

a₁₂  = a + 11d

a₁₂  = 25 + 11(-2.2)

a₁₂  = 0.8

a₂ = a + d

57.5 = a + d -- (1)

a₅ = a + 4d

80 = a + 4d  --- (2)

solve (1) and (2)

d = 7.5

a = 50

a₈ =  a + 7d

a₈ = 50 + 7(7.5)

a₈ = 102.5

a₁₀ = a + 9d

141 = a + 9d --- (1)

a₁₃ = a + 12d

186 = a + 12d --- (2)

Subtract (1) from (2)

d = 15

a = 6

a₈ = a + 7d

a₈ = 6 + 7(15)

a₈ = 111

a₂₂ = a + 21d

-49 = a + 21d ---- (1)

a₂₅ = a + 24d

-58 = a + 24d --- (2)

subtract (1) from (2)

d = -3

a = 14

a₁₂ = a + 11d

a₁₂ = 14 + 11(-3)

a₁₂ = -19

a₄ = a + 3d

-2 = a + 3d --- (1)

a₈ = a + 7d

46 = a + 7d ---- (2)

Subtract (1) from (2)

d = 12

a = -38

a₁₂ = a + 11d

a₁₂ = -38 + 11(12)

a₁₂ = 94

a₉ = a + 8d

64 = a + 8d --- (1)

a₁₂ = a + 11d

88 = a + 11d --- (2)

Subtract (1) from (2)

d = 8

a = 0

a₆ = a + 5d

a₆ = 0 + 5(8)

a₆ = 40

a₂₀ = a + 19d

-4 = a + 19d ---- (1)

a₂₃ = a + 22d

-13 = a + 22d --- (2)

Subtract (1) from (2)

d = -3

a = 53

a₃₆ = a + 35d

a₃₆ = 53 + 35(-3)

a₃₆ = -52

a₂₈ = a + 27d

5 = a + 27d ---- (1)

a₃₃ = a + 32d

50 = a + 32d --- (2)

Subtract (1) from (2)

d = 9

a = -238

a₂₁ = a + 20d

a₂₁ = -238 + 20(9)

a₂₁ = -58

Learn more about arithmetic progression here: https://brainly.com/question/6561461

#SPJ1

Cooper ran 286 miles in 21 weeks.

Answer:

The answer is in the picture.

Step-by-step explanation:

By hand, you can factor it. I did it on a website called Cymath.

Answer:

3x(y - 3)(y + 1)

Step-by-step explanation:

Factor 3x out of 3xy^2

Factor 3x out of -6xy

Factor 3x out of -9x

Factor 3x out of 3x(y^2)+3x(-2y)

Factor 3x out of 3x(y^2-2y) + 3x(-3)

Answer:

Step-by-step explanation:

13 and 36 have no common factor except 1.

Perhaps you meant that the 13 should be 12. In that case

GCF

The greatest common factor is 2 * 2 * 3

If there is a number that is not bolded, it is what is left behind inside the backets the distributive property creates.

Answer: 12(1 + 3)

Note: the 1 is part of the answer inside the brackets when one of the numbers inside the brackets and the GCF are the same

By using the motion equations, we conclude that she will make the goal.

First, we know that the goal is 20ft away, and the position in x is given by:

[tex]x = 28*cos(58)*t[/tex]

Let's find the time in which the ball will travel these 20 ft.

[tex]20 = 28*cos(58)*t[/tex]

[tex](20)/(28*cos(58)) = t = 1.35[/tex]

So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.

The height equation is:

[tex]y = -16*t^2 +28*sin(58)*t[/tex]

Evaluating in t = 1.35 we get:

[tex]y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9[/tex]

And the goal is 5ft tall, so we can conclude that she will make the goal.

If you want to learn more about motion equations:

https://brainly.com/question/19365526

#SPJ1

Answer:

The answer is C

Step-by-step explanation:

good job on quiz i got a 15/15 but keep up 3´5

Answer:

i got a 0/15 i didnt do it

Step-by-step explanation:

0000.7 C

Answer:

10^(-5)

Step-by-step explanation:

1 x 10^(-5)

I hope it helps u dear! ^_^

We can conclude that the function evaluated in x = 5 is equal to 2.3150

Here we have the function:

[tex]f(x) = \frac{20}{5 + 6e^{-0.1x}}[/tex]

And we want to evaluate in x = 5, this just means to replace the x by a 5 in the given function:

We can evaluate this with a calculator (as doing it by hand is kinda hard), we will get:

[tex]f(5) = \frac{20}{5 + 6e^{-0.1*5}} = 2.3150[/tex]

So we can conclude that the function evaluated in x = 5 is equal to 2.3150.

If you want to learn more about evaluations:

https://brainly.com/question/4344214

#SPJ1

Answer: [tex]45\sin 40^{\circ} \approx 28.925[/tex] km

Step-by-step explanation:

[tex]\sin 40^{\circ}=\frac{x}{45} \\ \\ x=45 \sin 40^{\circ} \approx 28.925[/tex]

The height of point P above the level of point Q is given by trigonometric relations h = 34.7 km

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let's call the height of point P above the level of point Q as h.

We know that the angle of elevation of point P from point Q is 40°, which means that the angle between the horizontal line passing through Q and the line segment connecting Q and P is 40°.

We also know that PQ = 45 km, which represents the distance between Q and P.

Using trigonometry, we can set up the following equation:

tan(40°) = h / 45

Solving for h, we get:

h = 45 x tan(40°) ≈ 34.7 km

Therefore, point P is approximately 34.7 km above the level of point Q

Hence , the height is h = 34.7 km

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

Answer:

8

Step-by-step explanation:

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 easily get rid of all the even numbers except 2 and then look at the numbers to see if they can be divisible by anything but 1 and its self. then you will get the answers 2, 3, 5, 7, 11, 13, 17, and 19

Answer:

= 3x⁵ + 3x³ - 18x

Step-by-step explanation:

(3x³ + 9x)(x²-2)

= 3x³ * x² + 3x³ * -2 + 9x * x² + 9x * -2

= 3x⁵ - 6x³ + 9x³ - 18x

= 3x⁵ + 3x³ - 18x

Answer:

a=3=8

Step-by-step explanation:

there is none

The construction forms a diagram consisting of a circle, two tangents, and a central angle EAD as shown in the attached figure.

Construction is a topic that requires drawing a required shape, line, and figure with constructing tools. The appropriate steps should be taken so as to complete the required figure.

In the given question, the circumference of the required circle passes through points A and C. And the radius of the circle with center B is 4 units so its diameter is 8 units. Then joining the points D and E to A, creates a central angle EAD.

Following the appropriate steps, the required diagram for the construction is as given in the attachment to this question.

For more clarifications, visit: https://brainly.in › question › 7722330

Based on the operations and their times, the capacity of this process is 10 per hour and the action that would yield the greatest increase would be 2. increase operation 2 by 14%.

The capacity of the process is the least operation time in the process which is 10/ hr.

Check all the alternatives given. The alternative with the lowest capacity is best.

Increase operation 1 by 12%:

= 11 x (1 + 12%)

= 12.32 per hour

Increase operation 2 by 14%:

= 10 x (1 + 14%)

= 11.4 per hour

Increase operation 3 by 10%:

= 12 x (1 + 10%)

= 13.2 per hour

The best alternative is therefore to increase operation 2 by 14%.

Find out more on process capacity at https://brainly.com/question/20396505.

#SPJ1

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7[/tex]

Answer:

Answer is 7% sales Tax

Step-by-step explanation:

I first like to take one percent of the original value, in this case 1% of 600 is 6 dollars. I then multiply 6 by the number needed to get to 642, which is 107- you will always then subtract 100 from this number and you get 7%. This should work for other problems as well. This is probably not the best explanation btw

Answer:

d

Step-by-step explanation:

I will answer this will within a few minutes

Answer:

67 m/s

Step-by-step explanation:

Formula for range :

Solving with the given values :

Answer:

[tex]\sf u=67\:ms^{-1}[/tex]

Step-by-step explanation:

Assuming the distance traveled is the horizontal distance.

Horizontal Range Formula

[tex]\sf R=\dfrac{u^2 \sin 2\theta}{g}[/tex]

where:

Given:

Substituting the given values into the formula and solving for u:

[tex]\implies \sf 400=\dfrac{u^2 \sin 60^{\circ}}{9.8}[/tex]

[tex]\implies \sf 3920=u^2 \sin 60^{\circ}[/tex]

[tex]\implies \sf 3920=\left(\dfrac{\sqrt{3}}{2}\right)u^2[/tex]

[tex]\implies \sf u^2=\dfrac{7840}{\sqrt{3}}[/tex]

[tex]\implies \sf u=\sqrt{\left(\dfrac{7840}{\sqrt{3}} \right) }[/tex]

[tex]\implies \sf u=67.2787196...[/tex]

[tex]\implies \sf u=67\:ms^{-1}\:(nearest\:whole\:number)[/tex]

Answer:

2|10

5|5

1

Prime factors of 10 are 2*5

The number that has the greatest value is 245

The numbers are given as:

0.095, 1.24, 1.215 and 245

Rearrange the numbers in ascending order

0.095, 1.215, 1.24 and 245

The last number on the list is the greatest

Hence, the number that has the greatest value is 245

Read more about sorting at:

https://brainly.com/question/6032811

#SPJ1