A positive
B negative
C none
D multiple

Answer:

[tex]a^3 + 1 = 0[/tex]

Step-by-step explanation:

We start with the equation:

[tex]a + \frac{1}{a} = 1[/tex]

We want to find the value of:

[tex]a^3 + 1 =[/tex]

We can start with our previous equation and multiply both sides by a:

[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]

Now we can rewrite our initial expression as:

[tex]a = 1 - \frac{1}{a}[/tex]

Replacing that in the right side, we get:

[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]

Now again, let's multiply both sides by a

[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]

So we can conclude that:

[tex]a^3 + 1 = 0[/tex]

Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

Answer:

3.14 x 4 x 4

= 3.14 x 16

= 50.24

Answer:

50.24

Step-by-step explanation:

A=πr²

  = (3.14)(4)²

  = 50.24

Answer:

gyufigaruofhasidjfdskcm

Step-by-step explanation:

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

Answer:

Angle F

Step-by-step explanation:

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

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Answer:

Answer is 3 because

Step-by-step explanation:

a=2

20*2= 40

40-1 = 39

b = 13

so 39/13 = 3

Answer:

79 sq in

Step-by-step explanation:

cut it into separate shapes then add the areas of each individual

(4 x 3) + (13 x 4) + (3 x 5)

Answer:

x = 2

Step-by-step explanation:

In a vertical line, all x-coordinates are the same.

x = 2

Answer:

x =2

Step-by-step explanation:

A vertical line means the x value remains constant

The x value is 2

x =2

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

Answer:

It would be 9π

Step-by-step explanation:

(x-1)²π

(x-1)(2x-4)

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

[tex]y=6x-4[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]

Simplify:

[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]

And subtract one from both sides. Therefore, our equation is:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Answer:

91.7%

hope I helped

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is ≥

Answer:

165 cm

Step-by-step explanation:

We solve using the rule

Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl

Shadow of ruler = 20cm

Length of ruler = 30cm

Shadow of the girl = 110cm

Length of the girl = x

Hence:

20/30 = 110/x

Cross Multiply

20x = 30 × 110

x = 30 × 110/20

x = 165 cm

Therefore, Sierra(the girl) is 165cm tall

Answer:

120° = CAB

arc lenght = CÁB/ 360 × 2(pi)(4)

a/2pi(4) = CAB/360

8/3(pi)/2(pi)(4) × 360 = CÁB

120 = CAB

Answer:

120°

Step-by-step explanation:

that is the procedure above

Answer:

49

Step-by-step explanation:

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

Step-by-step explanation:

you must have written something wrong.

because given that information OB is not equal to OC.

but for example, OB = BC.

the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =

= sqrt(5² + 0²) = sqrt(25) = 5

the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =

= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)

so, OB is NOT the same as OC.

but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =

= sqrt(25) = 5

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]

Answer-

a. no

b. yes

c. no

Answer:

24

Step-by-step explanation:

15 - 3d

Let d = -3

15 - 3(-3)

Multiply

15 +9

Add

24

Answer:

24

Step-by-step explanation:

15 - 3d

* plug in -3 *

15 - 3(-3)

simplify -3(-3)

-3(-3) = + 9

add

15 + 9 = 24

Answer:

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

These are corresponding angles meaning they are equal to each other.

4x + 30 = 94

4x = 64

x = 16