Solve each equation. Round to four decimal places.
e^x=8

Answers:  x = 1 and y = -1

Explanation:

Start where your teacher left off, which is -3y = 3.

We solve for y by dividing both sides by -3

That turns -3y = 3 into y = -1

Then we use this y value to find x

x - 5y = 6

x - 5(-1) = 6

x + 5 = 6

x = 6-5

x = 1

The solution is (x,y) = (1, -1)

Answer:

-1,1

Step-by-step explanation:

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

          = 9² + 2(2)

          = 81 + 4

          = 85

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

Answer:

Date                  Account Title                                              Debit             Credit

XX-XX-XXX      Sales returns and Allowances              Rs. 5,000

                        Accounts receivable - M Center                                   Rs. 5,000  

                         Inventory                                                Rs. 5,000

                         Cost of Goods sold                                                        Rs. 5,000

Answer:

d

Step-by-step explanation:

Answer:

The quotient is 10x+16

The remainder is 28x²+10x+22

Step-by-step explanation:

Solution,

                              ___________________________

x^3 - 3x^2 + x - 2 ]    10x^4 - 14x^3 -  10x^2 +  6x  -  10   [ 10x + 16

                                 10x^4 - 30x^3 + 10x^2 -  20x

                                              16x^3   -  20x^2 + 26x  - 10

                                              16x^3  -  48x^2 + 16 x   - 32

                                                            28x^2  +  10x  + 22

Answer:

The quotient is 10x+16

The remainder is 28x²+10x+22

Step-by-step explanation:

Answer:

f(-5) = 7

Step-by-step explanation:

f(-5) means find the y value when x = -5

y = 7 when x = -5

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

Answer:

5!= 120

13!= 6227020800

12!/6!= 665280

10!/7! 3!= 120

5(4!)= 120

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Starting with the original equation:

[tex]\sqrt{1-3x} =x+3[/tex]

Squaring both sides to remove the root, and expanding the right side:

[tex]1-3x=(x+3)(x+3)[/tex]

Multiplying the right side:

[tex]1-3x=x^{2} +6x+9[/tex]

Combine like terms:

[tex]x^{2} +9x+8[/tex]

Factor:

(x+8)(x+1)

If x+8=0, then x= -8

If x+1=0, then x=-1

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

Answer:

Last year sales increased by 200%. This year sales decreased by 50%.

Step-by-step explanation:

Answer:

17253.52

Step-by-step explanation:

100-9.5=90.5

19064.67*0.905=17253.52

The radius of the steering wheel is 10 inches.

A circle is the defined as a closed, two-dimensional curved shape in the geometry. Every point on the circle is equal distance from a certain point known as the centre of circle. A circle is a two-dimensional form that is measured in terms of radius.

Circumference of a circle is defined as perimeter of circle is defined as the enclosing boundary of a curved geometrical figure called a circle. It is the product of π and its diameter.

Circumference (C) = π × d , where d is the diameter of a circle.

Given data as :

Circumference of a steering wheel of a car = 20π inches

Circumference(C) =  20π inches

Substitute the value of c in formula of Circumference :

20π = π × d      [ diameter(d) = 2 radius(r) ]

20π = π × 2 r

Divided by 2π both the sides

10 =  r

r = 10

r = 10 inches

Hence, the radius of the steering wheel is 10 inches.

Learn more about Circumference of a circle here :

https://brainly.com/question/17357009

#SPJ5

Question seems to be incomplete the correct question would be

The circumference of a steering wheel of a car is 20π  inches. What is the radius of

the steering wheel?

Answer:

x=2 is the answer

Step-by-step explanation:

Hi there!

1. Trigonometric Ratio

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

3. Using Cosine Ratio

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

Answer:

4 cans of paint

Step-by-step explanation:

Take the area of the wall and divide by the area that the can of pain will cover

10.37 / 3.1

3.34516129 cans

We need to round up to make sure we buy enough cans of paint

4 cans of paint

We can take area as,

Area = A

The required formula is,

→ A of wall ÷ A that paint's can will cover

Then find the no. of cans of paint that are needed to paint the wall.

Now use the formula,

→ A of wall ÷ A that paint's can will cover

→ 10.37 ÷ 3.1

→ 3.34516129032

→ 4 cans (by nearest value)

Hence, we need 4 cans to paint the wall.

Answer:

not a factorable number i think

Step-by-step explanation:

Given:

The x- intercepts of a parabola are (0,-6) and (0,4).

The parabola crosses the y- axis at -120.

Lucas said that an equation for the parabola is [tex]y=5x^2+10x-120[/tex] and that the coordinates of the vertex are (-1, -125).

To find:

Whether Lucas is correct or not.

Solution:

The x- intercepts of a parabola are (0,-6) and (0,4). It means (x+6) and (x-4) are the factors of the equation of the parabola.

[tex]y=a(x+6)(x-4)[/tex]             ...(i)

The parabola crosses the y- axis at -120. It means the equation of the parabola must be true for (0,-120).

[tex]-120=a(0+6)(0-4)[/tex]

[tex]-120=a(6)(-4)[/tex]

[tex]-120=-24a[/tex]

Divide both sides by -24.

[tex]\dfrac{-120}{-24}=a[/tex]

[tex]5=a[/tex]

Substituting [tex]a=5[/tex] in (i), we get

[tex]y=5(x+6)(x-4)[/tex]

[tex]y=5(x^2+6x-4x-24)[/tex]

[tex]y=5(x^2+2x-24)[/tex]

[tex]y=5x^2+10x-120[/tex]

So, the equation of the parabola is [tex]y=5x^2+10x-120[/tex].

The vertex of a parabola [tex]f(x)=ax^2+bx+c[/tex] is:

[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]

In the equation of the parabola, [tex]a=5,b=10,c=-120[/tex].

[tex]-\dfrac{b}{2a}=-\dfrac{10}{2(5)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{10}{10}[/tex]

[tex]-\dfrac{b}{2a}=-1[/tex]

Putting [tex]x=-1[/tex] in the equation of the parabola, we get

[tex]y=5(-1)^2+10(-1)-120[/tex]

[tex]y=5-10-120[/tex]

[tex]y=-125[/tex]

So, the vertex of the parabola is at point (-1,-125).

Therefore, Lucas is correct.

Answer:

x=44°..

Step-by-step explanation:

Answer:

the value of x is 44 i hope it will help you

Answer:

Option A, $65,280

Step-by-step explanation:

The volume of the tank is,

12×20×15+40×(50-15)×12

= 3600+16800

=20400 cubic meters

For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,

20400×$3.20

= $65,280

Answered by GAUTHMATH

13% of 11900 films are action films =1547 films.

Answer:

[tex]{ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films[/tex]

Answer:

53.13 degrees

Step-by-step explanation:

In order to use sin we have to use the opposite side over the hypotenuse.

[tex]\frac{4}{5}[/tex] in this case

sin(A) =  [tex]\frac{4}{5}[/tex]

[tex]A = sin^{-1} \frac{4}{5}[/tex]

Plugging this into the calculator you get about 53.13 degrees

Answer:

12.

Step-by-step explanation:

6x10 = 60.

60 divided by 12 =5.

Answer:

12

Step-by-step explanation:

5x = 60

x  = 12

Step-by-step explanation:

The correct answer is f(x)=3^(x+3)

3:8

The ratio of small circle

12:32

If we divide both of them by 4 we get 3:8

Answer:

1 = Input G

2 = Input F

3 = Input H

Step-by-step explanation: