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Find the lateral area of this cone.
Round to the nearest tenth.

Answer:

We are talking about Complex numbers.

Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have

[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]

A complex number is a number of the form [tex]a+bi[/tex]

as [tex]i^2=-1[/tex]

Answer:

9

Step-by-step explanation:

There are 5 data points.  To find the mean, we add the data and divide by 5

(5+8+11+7+?) /5 = 8

Multiply each side by 5

(5+8+11+7+?) /5 *5 = 8*5

(5+8+11+7+?)  = 40

Combine like terms

? + 31 = 40

Subtract 31 from each side

? +31-31 = 40-31

? = 9

The missing number is 9

Answer:

x= 3 +√509/10

Or

x= 3 - √509/10

Step-by-step explanation:

Given:

5x2-3x = 25

Using completing the square method of solving quadratic equation

Step 1: Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.

Take (1/2) of (3/5)

1/2 × 3/5

= 3/10

Square 3/10

We have, 9/100

We have,

5(x^2 - 3x/5 + 9/100) = 25 + 9/100

Step 3: Simplify

x^2 - (3/5)x + 9/100 = 25 + 9/100

5(x^2 - 3x/5 + 9/100) = 5 + 9/20

Step 4:

factor the right side

(x - 3/10)^2 = 509/100

Take both roots

√ (x - 3/10)^2 = √509/100

x - 3/10 = ±√ [509/100]

x = [ 3 ±√509 ] / 10

x= 3+√509/10

Or

x= 3 - √509/10

Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

Answer:

p=1                                  p = -5/3

Step-by-step explanation:

1-|3p+1|=-3

Subtract 1 from each side

1-|3p+1| -1=-3-1

-|3p+1|=-4

Divide by -1

|3p+1|=4

The absolute value has two solutions one positive and one negative

3p+1 = 4            3p+1 = -4

Subtract 1 from each side

3p+1-1 = 4-1            3p+1-1 = -4-1

3p = 3                         3p = -5

Divide by 3

3p/3 = 3/3                    3p/3 = -5/3

p=1                                  p = -5/3

Answer:

p=-5/3,1

Step-by-step explanation:

Subtract 11 from both sides.

-|3p+1|=-3-1

−∣3p+1∣=−3−1

2 Simplify  -3-1−3−1  to  -4−4.

-|3p+1|=-4

−∣3p+1∣=−4

3 Multiply both sides by -1−1.

|3p+1|=4

∣3p+1∣=4

4 Break down the problem into these 2 equations.

3p+1=4

3p+1=4

-(3p+1)=4

−(3p+1)=4

5 Solve the 1st equation: 3p+1=43p+1=4.

p=1

p=1

6 Solve the 2nd equation: -(3p+1)=4−(3p+1)=4.

p=-\frac{5}{3}

p=−  

3

5

​

7 Collect all solutions.

p=-\frac{5}{3},1

p=−  

3

5

​

,1

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

Answer:

This is a geometric sequence with a common ratio of -4

Step-by-step explanation:

Take the second term and divide by the first term

-4/1 = -4

Take the third term and divide by the second term

16/-4 = -4

Take the fourth term and divide by the third

-64/16 = -4

This is a geometric sequence with a common ratio of -4

Answer:

C. Two lines are perpendicular if they have opposite slopes

Step-by-step explanation:

Hey there!

Well 2 lines that are perpendicylar have reciprocal slopes for example,

2 and 1/2 are 2 slopes that are perpendicular.

Hope this helps :)

Answer:

1. [tex](A,B) = (3,-2)[/tex]

2. The values of t are: -3, -1

Step-by-step explanation:

Given

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

[tex]|t| = 2t + 3[/tex]

Required

Solve for the unknown

Solving [tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

Take LCM

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}[/tex]

Expand the denominator

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}[/tex]

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}[/tex]

Both denominators are equal; So, they can cancel out

[tex]x + 7 = A(x+1) + B(x-2)[/tex]

Expand the expression on the right hand side

[tex]x + 7 = Ax + A + Bx - 2B[/tex]

Collect and Group Like Terms

[tex]x + 7 = (Ax + Bx) + (A - 2B)[/tex]

[tex]x + 7 = (A + B)x + (A - 2B)[/tex]

By Direct comparison of the left hand side with the right hand side

[tex](A + B)x = x[/tex]

[tex]A - 2B = 7[/tex]

Divide both sides by x in [tex](A + B)x = x[/tex]

[tex]A + B = 1[/tex]

Make A the subject of formula

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]A - 2B = 7[/tex]

[tex]1 - B - 2B = 7[/tex]

[tex]1 - 3B = 7[/tex]

Subtract 1 from both sides

[tex]1 - 1 - 3B = 7 - 1[/tex]

[tex]-3B = 6[/tex]

Divide both sides by -3

[tex]B = -2[/tex]

Substitute -2 for B in [tex]A = 1 - B[/tex]

[tex]A = 1 - (-2)[/tex]

[tex]A = 1 + 2[/tex]

[tex]A = 3[/tex]

Hence;

[tex](A,B) = (3,-2)[/tex]

Solving [tex]|t| = 2t + 3[/tex]

Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

[tex]t = 2t + 3[/tex]    and   [tex]-t = 2t + 3[/tex]

Solving [tex]t = 2t + 3[/tex]

Make t the subject of formula

[tex]t - 2t = 3[/tex]

[tex]-t = 3[/tex]

Multiply both sides by -1

[tex]t = -3[/tex]

Solving [tex]-t = 2t + 3[/tex]

Make t the subject of formula

[tex]-t - 2t = 3[/tex]

[tex]-3t = 3[/tex]

Divide both sides by -3

[tex]t = -1[/tex]

Hence, the values of t are: -3, -1

Answer:

132

Step-by-step explanation:

If US bisects the angle then

BUS = SUL

2x+10 = 3x-18

Subtract 2x from each side

2x+10 -2x = 3x-18-2x

10 = x-18

Add 18 to each side

10+18 =x

28 =x

We want to find BUL

BUL = BUS + SUL

      2x+10 + 3x-18

     5x-8

    5*28 -8

   140-8

   132

Answer:

m<BUL=132

Step-by-step explanation:

Since US bisects <BUL, we know that <BUS ≅ <SUL

This is based on the angle bisector definition.

Hence, we can set up an equation to solve for x.

<BUS≅<SUL

2x+10=3x-18

Subtract 10 from both sides

2x+10-10=3x-18-10

2x=3x-28

Subtract 3x from both sides

2x-3x=3x-3x-28

-x=-28

Divide both sides by -1

x=28

m<BUL is the sum of m<BUS and m<SUL

m<BUL=m<BUS+m<SUL

m<BUS=2x+10

m<SUL=3x-18

Plug it in

m<BUL=2x+10+3x-18

Combine like terms

m<BUL=5x-8

Plug in 28 for x

m<BUL=5(28)-8

m<BUL=140-8

m<BUL=132

Answer:

-9x + y = 43

Step-by-step explanation:

We can put the equation into y = mx + b form first, then change it to Ax + By = C

First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)

(-2 - 7) / (-5 + 4)

-9/-1 = 9

We can put this into the equation y = mx + b, along with another point, to find b:

y = mx + b

7 = 9(-4) + b

7 = -36 + b

43 = b

Now, we know the equation will be y = 9x + 43, and we can rearrange this:

Subtract 9x from both sides:

-9x + y = 43 will be the equation of the line

Answer:

[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^4-5x^2-14=0[/tex]

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]u^2-5x-14=0[/tex]

Now we can solve normally. Factor:

[tex](u-7)(u+2)=0[/tex]

Zero Product Property:

[tex]u=7\text{ or } u=-2[/tex]

Back-substitute:

[tex]x^2=7\text{ and } x^2=-2[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]

Therefore, our solutions are:

[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]

Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50

Step-by-step explanation:

Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32

Answer:

$51.32

The amount of sales tax for the bill if the rate is 7% will be $3.36.

The quantity of anything is stated as though it were a fraction of a hundred.

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.

The cost of the pizza and soft drinks before sales tax and tip was $47.96.

Then the amount of sales tax for the bill if the rate is 7% will be

⇒ $47.96 x 0.07

⇒ $3.36

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

Brainilest Appreciated.

Answer:

Step-by-step explanation:

To do this you would simplify both sides.

For the first one:

             [tex]7x+3<-4[/tex]

             [tex]7x<-7[/tex]        (subtract 3 from both sides)

              [tex]x<-1[/tex]         (divide 7 from both sides)

and for the second one:

              [tex]2x-3\geq 9[/tex]

               [tex]2x\geq 12[/tex]        (add 3 to both sides)

              [tex]x\geq 6[/tex]             (divide 2 from both sides)

When you graph these they will look like these pictures    

Answer:

[tex]x<-1[/tex] and [tex]x\geq6[/tex]

Step-by-step explanation:

[tex]\bf 7x+3<-4[/tex]

You must subtract 3 from both sides.

[tex]7x+3-3<-4-3\\[/tex]

After subtracting, we got

[tex]7x<-7[/tex]

Let's make it into a fraction and divide

[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]

Now we got the answer

[tex]x<-1[/tex]

[tex]\bf 2x-3\geq 9[/tex]

You must add 3 to both sides.

[tex]2x-3+3\geq 9+3[/tex]

After adding, we got

[tex]2x\geq 12[/tex]

Let's make it into a fraction and divide

[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]

Now we got the answer

[tex]x\geq 6[/tex]

Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

Answer:

Geometery is used everywhere you go. Construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming virtual reality creation, and etc. It has given us what we have today and why we have everything today. Without geometry to help us how would construction know how to build the bridge so it won't fall. It benefits us in ways people don't expect but everyone should learn it so we can recognize the importance of math to the real world. Stuff wasn't just created it was hard work and dedication which led to the great feeling of accomplishment!

Step-by-step explanation:

Not plagiarized so go ahead and use it.

Answer:

Step-by-step explanation:

The rule for the sequence is

[tex]A(n) = 5. {2}^{x - 1} [/tex]

where x is the number of terms

For the first term

x = 1

That's

[tex]A(1) = 5. {2}^{1 - 1} [/tex]

[tex]A(1) = 5. {2}^{0} [/tex]

A(1) = 5(1)

For the fourth term

x = 4

[tex]A(4) = 5. {2}^{4 - 1} [/tex]

[tex]A(4) = 5. {2}^{3} [/tex]

A(4) = 5(8)

For the eighth term

x = 8

[tex]A(8) = 5. {2}^{8 - 1} [/tex]

[tex]A(8 ) = 5. {2}^{7} [/tex]

A(8) = 5(128)

Hope this helps you

Answer:

The first option.

Step-by-step explanation:

The first term of the sequence would be...

A(1) = -5 * 2^(1 - 1)

= -5 * 2^0

= -5 * 1

= -5

The fourth would be...

A(4) = -5 * 2^(4 - 1)

= -5 * 2^3

= -5 * 8

= -40

The eighth would be...

A(8) = -5 * 2^(8 - 1)

= -5 * 2^7

= -5 * 128

= -640

So, the correct answer is the first option.

Hope this helps!

Answer:

[tex]93\frac{1}{3}[/tex] [tex]yd^{3}[/tex]

Step-by-step explanation:

The volume of a pyramid is:

[tex]V=\frac{lwh}{3}[/tex] (basically saying that you multiply the length, width, and the height together and then you divide that by 3)

Now, let's do the first part.

8 × 5 × 7 = 280

Now, let's divide.

280 ÷ 3 = 93 1/3

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

errror

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

A negative value would mean it is below sea level. A positive value would be above sea level.

-8 is 8 feet below sea level

+107 is 107 feet above sea level.

The answer Is:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

Answer:

Step-by-step explanation:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.  

Answer:

The cost might be or would be$53.00

Answer:

A. 24+24+120+160+200

Step-by-step explanation:

Surface area of the triangular prism= addition of the area of each shape that forms the prism

There are two triangles

Area of a triangle=1/2*base*height

=1/2*8*6

=1/2*48

=24

Area of two triangles=24+24

There are 3 rectangles with different dimensions

Back rectangle=length×width

=20×6

=120

Bottom rectangle=length ×width

=20x8

=160

Top rectangle=length × width

=20×10

=200

Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle

=24+24+120+160+200

Answer:

h(3)=20

Step-by-step explanation:

h(3)=h(3-2)*h(3-1)=h(1)*h(2)=-10*-2=20

Answer:

20

Step-by-step explanation:

h(1) = -10

h(2) = -2

h(n) = h(n-2) * h(n-1)

Let n=3

h(3) = h(3-2) * h(3-1)

      = h(1) * h(2)

       = -10 * -2

       = 20

Answer:

but i didn't understand the root 5 with b on the question

On a graph, points are grouped closely together to form a line and decrease.

====================================

Explanation:

Negative association is where the points decrease as you move from left to right. In other words, you move downhill as you move from left to right. There could be random upward bumps here and there, but overall the general trend is down.

Linear association is when the points are close to the same straight line, known as the regression line.

When points have strong negative linear association, we combine the two ideas mentioned above. The points are close to the same straight line and this line has a negative slope. The correlation coefficient r is close to r = -1.

Choice C is a close answer, but choice D is the better answer due to the "to form a line". If all points are on the same straight line, then r = -1 exactly and we have the strongest possible negative correlation.

The strongest negative linear association is depicted by the graph where points are grouped closely together to form a line and decrease.

Therefore, a graph with closely grouped points which forms a line and decreases infers a strong negative linear association.

Learn more :https://brainly.com/question/18405415