7, 13, 19
Find the 32nd term

Answer:

x = ± 4i

Step-by-step explanation:

x^2 + 19 = 3

Subtract 19 from each side

x^2 +19-19 = 3-19

x^2 = -16

Take the square root of each side

sqrt(x^2) = sqrt(-16)

x = sqrt(-1*16)

x =sqrt(-1) * sqrt(16)

We know that the square root of -1 is the imaginary number i

x = ± 4i

We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things

Where , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;

[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]

Now , coming back on the question ;

We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;

[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]

[tex]{: \implies \quad \sf D=36-72}[/tex]

[tex]{: \implies \quad \sf D=-18}[/tex]

As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]

[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]

Answer:

81

Step-by-step explanation:

Answer:

#15: y = -5x -4

#16: y = 2/5x -4

Step-by-step explanation:

Lets start with #15:

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx -4

Pick another point and substitute its x and y values in this equation.

I chose (-1,1) and substituted as 1 = m(-1) -4

Isolate m:

1 + 4 = -m - 4 + 4

5 = -m

m = -5

The Equation in Slope Intercept Form is y = -5x -4

Let's do #16.

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx - 4

Pick another point and substitute its x and y values in this equation.

I used Fractional Points as Whole ones were not seen.

I chose (5/2,-3) and substituted as -3 = m(5/2) - 4

Isolate m:

-3 + 4 = 5m/2 - 4 + 4

1= 5m/2

m=2/5

The Equation in Slope Intercept Form is y = 2/5x - 4

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

           -Aadi x

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

Answer:

Step-by-step explanation:

84/100 = x/125

x = 105 points

Answer:

y=+|x-3|

Step-by-step explanation:

We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.

Answer:

fam good luck

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

10 km

Step-by-step explanation:

total no of km covered=400

total no of trips=40

distance in each trip= 400/40

=10km

Answer:

the answer is 24x⁴

first you multiply 6 by 4,

next you multiply X² by x², which really means you add the numbers on top of the variable

Answer: -324.4

Step-by-step explanation:

Answer:

A1-60x+460

A2-50x+530

B-60x7+460

50x7+530

Step-by-step explanation:

A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.

B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.

Answer:

8.3

Step-by-step explanation:

To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.

(73)≈1.2741

Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.

1.2741(6.48)≈8.3

Therefore, our arc length is about 8.3 inches.

I hope this helps!

( not my answer, i saw this question posted somewhere else and it was already answered :)

The length of arc PS is 8.3 inches.

Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.

i.e.

(73)≈1.2741

Now, we know our arc length is equivalent to about 1.2741 radians.

Let's multiply this by our radius.

1.2741(6.48)

≈8.3

Learn more: brainly.com/question/16911495

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

Harold tilted the 5 foot fridge, so the slanting height = 5 feet

The tilted refrigerator makes the height 4 feet from the floor.

From the diagram,

The three sides of the triangle according to Pythagoras theorem are

Hypotenuse side, h = 5 feet

Opposite side, o = 4 feet

Let a be the adjacent side.

By Pythagoras theorem,

[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]

⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]

⇒ [tex]a^{2} = 25-16[/tex]

⇒ [tex]a=\sqrt{9}[/tex]

⇒ [tex]a=3[/tex]

Thus the trigonometric ratio cosine of the angle is

[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]

⇒ [tex]cos \theta =\frac{3}{5}[/tex]

Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

Learn more about trigonometry here

https://brainly.com/question/16965914

#SPJ2

Answer:

First box: 12.56, second box: 12.56

Step-by-step explanation:

We know the volume (v) is 25.12

We know the base's area (b) is 12.56 (from the statement supplied)

Answer:

D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I believe its c I've done this last semester

4    

4*4 = [tex]\sqrt{x}[/tex]16                        not sure how it gets negative

Answer:

6x3

Step-by-step explanation:

....................

Answer:

I posted it above!!!

Step-by-step explanation:

hoped I helped:)

Answer:

x=5.12

Step-by-step explanation:

35.16= 4.44+6x

30.72=6x

5.12=x

x=5.12

Hope this helps :)

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

  2x -2x +y = 3 -2x

  y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

Answer:

I beleive is is -2% because 5 is 2 more than 3

so then 5-2=3

Answer:

Error Is 100(2/3) 66.7%