Solve the exponential equation. 4x = 0.5 -2 -1 -1/2

Answer:

(1/6)^2

Step-by-step explanation:

We want to find the fraction that is equivalent to 1/36.

Let us look at each of them individually:

a. [tex](\frac{1}{108})^3 = \frac{1}{1259712}[/tex]

b. [tex](\frac{1}{9})^4 = \frac{1}{6561}[/tex]

c. [tex](\frac{1}{6})^2 = \frac{1}{36}[/tex]

d. [tex](\frac{1}{5})^2 = \frac{1}{25}[/tex]

Therefore, the correct answer is c.

Answer:

1/6 to the second power, which is the third option.

Step-by-step explanation:

I took the test.

Answer:

C =81.64 ft

Step-by-step explanation:

The diameter is 26

C = pi * d where d is the diameter

C = 3.14 *26

C =81.64 ft

Answer:

81.64 ft.

Step-by-step explanation:

Circumference = 2 x 3.14 x 13

Answer:

Range: 11

Median: 3

Step-by-step explanation:

2, 2, 2, 3, 3, 6, 13

Range: Highest value - Lowest value = final answer

Median: the middle number on the data set or the listed numbers.

Range: 13 - 2 = 11

Median: 3

Answer:

D. If I do not do my homework, then it will not snow.

Explanation:

An inverse of anything is the contrary or opposite of the given statement or idea or anything. And in a way, it is the same as the antonym, opposite or contradictory factor of the given point.

The given sentence/ proposition is-

if I do my homework, then it will snow.

In this sentence, the hypothesis of the homework getting done concludes that it will snow. So, for the inverse of this proposition, the positive nature of the sentence will be turned into a negative one.

Thus, the correct answer will be such that if the homework is not done, then it will also not snow. So, the correct answer is option D.

Answer: it’s D

Step-by-step explanation:

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

Explanation:

C is at (0,0). Ignore the other points.

Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.

Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"

So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.

All of this is shown in the diagram below.

Answer:

B

Step-by-step explanation:

b = number of blue bikes

9 = 9 red bikes

1. "The sum of," this tells us that the answer will be addition based. Based on this information we can solve the question as there is only one answer with an addition symbol (B)

Answer:

Length = 4 * 8 = 32

Area = width * length = 8 * 32 = 256 square inches

Step-by-step explanation:

Answer:

A =256 inches^2

Step-by-step explanation:

width = 8 inches

length = 4 w = 4*8 = 32

A = l*w

A = 32*8

A =256 inches^2

Answer:

Step-by-step explanation:

The probability will be number of Yellows divided by the total number of Marbles

Here there are 3 yellows and 11 marbles in total

The probability is

3/11

Don't mention it

Answer:

C. 22.28

Step-by-step explanation:

area of square is 4*4 =16

area of half of circle is

(Pi*r²)/2 = 3.14*4/2 = 6.28

16+6.28 = 22.28

Answer:

C. 22.28

Step-by-step explanation:

 4 x 4 = 16 (Pi x r²)/2 = 3.14 x 4/2 = 6.28

16 + 6.28 = 22.28

Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

[tex]tan(49)=\frac{18.5}{x}[/tex] and

[tex]x=\frac{18.5}{tan(49)}[/tex] and on your calculator in degree mode, you will find that

x = 16.08 m

Answer:

∠ECD  is 110°

Step-by-step explanation:

For a cyclic quadrilateral,

∠ABC + ∠AEC = 180°

Therefore ∠AEC = 180° - 45° = 135°

∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)

Therefore ∠CAE =  180 - 20 - 135 = 25°

∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)

∠CED + ∠AEC = 180°(Sum of angles on a straight line)

Therefore ∠CED + 135° = 180°

∠CED = 180° - 135° = 45°

∠ECD + ∠CED + ∠CDA = 180°

Therefore ∠ECD  = 180° - (∠CED + ∠CDA)

∠ECD  = 180° - (45° + 25°) = 110°

Therefore, ∠ECD  = 110°.

Step-by-step explanation:

h = 4(x+3y)+2

h = 4x + 12y + 2

4x = 14y

Answer:

(h-12y-2)/4

Step-by-step explanation:

h=4x+12y +2

h-12y-2=4x

x=(h-12y-2)/4

Answer:

73.3 years

Step-by-step explanation:

Use the Compound Amount formula:

A = P(1 + r/n)^(n*t)

Here A = 3P, r = 0.015, n = 12, and so we have:

3 = (1 + 0.015/12)^(12*t).  Find t (in years)

3 = (1.00125)^(12*t)

Take the log of both sides.  We get:

log 3 = (12*t)(log 1.00125), or  0.47712 = (12*t)(5.425*10^(-4)

                                                 0.47712

Solving this for t, we get   t = ---------------------------  =  73.3 years

                                                 (12)(5.425*10^(-4))

Answer:

the range of this function is c

it is on the right hand side

Answer:

Step-by-step explanation:

Think about how many boxes he had bought, which totals to over £80 which means he had received an 8 percent discount hope this is right

Answer:

+ closed

- closed

* closed

÷ not closed

Step-by-step explanation:

When you add integers, you will always get an integer so it is closed under addition

When you subtract integers, you will always get an integer so it is closed under subtraction

When you multiply integers, you will always get an integer so it is closed under multiplication

When you divide integers, you will not always get an integer so it is not closed under division

1/5 = .2 which is not an integer

Answer:

1. Yes

2. Yes

3. Yes

4. No

Step-by-step explanation:

The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.

The expression 9 − (-11) shows the difference of two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.

The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.

The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.

Answer:

20 degrees

I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.

Answer:

the standared deviation =2.87 so it is small

Step-by-step explanation:

to calculate the standard deviation of those numbers:

1- Work out the Mean (the simple average of the numbers)

(7+6+5+8+9+1+0+4+3+2)/10=4.5

Then for each number: subtract the Mean and square the result.

[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25

√8.25=2.87≅3

Answer:

A. Small

Step-by-step explanation:

Answer:

I think is -0.4375

Step-by-step explanation:

Answer:

It's (A) and (D) like the person in the comments said. (B) is wrong.

Step-by-step explanation:

Answer:

j2nds 3 rd

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

[tex]4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}[/tex]

Hope this helps!

Answer:

324

Step-by-step explanation:

If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324

Answer:

15r²-14r-8

Step-by-step explanation:

Use FOIL for this:

(5r+2)(3r-4)

First: 5r × 3r = 15r²

Outer: 5r × (-4) = -20r

Inner: 2 × 3r = 6r

Last: 2 × (-4) = -8

15r²-20r+6r-8=

15r²-14r-8

Answer:

Cosθ = 0.5145

Sinθ = 0.8575

Secθ = 1.9436

tanθ = 1.667

Step-by-step explanation:

From the figure attached,

Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.

If m∠PAB = θ

AB = [tex]\sqrt{(3)^{2}+(5)^{2}}[/tex]

     = [tex]\sqrt{34}[/tex]

     = 5.831

Then Cosθ = [tex]\frac{AB}{AP}[/tex] = [tex]\frac{3}{5.831}[/tex]

Cosθ = 0.5145

Sinθ = [tex]\frac{PB}{AP}[/tex]

Sinθ = [tex]\frac{5}{5.831}[/tex]

Sinθ = 0.8575

Secθ = [tex]\frac{1}{\text{Cos}\theta}[/tex]

Secθ = [tex]\frac{1}{0.5145}[/tex]

Secθ = 1.944

tanθ = [tex]\frac{PB}{AB}[/tex]

tanθ = [tex]\frac{5}{3}[/tex]

tanθ = 1.667

Answer:

The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to where B is the area of the base P is the perimeter of the base h is the height of the prism If the height is increased by 0.2 then The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)

Answer:

who even plays roblox anymore

Step-by-step explanation:

Answer:

w = 5 , w = -5

Step-by-step explanation:

w^2 = 25

Take the square root of  each side

sqrt(w^2) = ± sqrt(25)

w = ±5

Answer:-5 or 5

Step-by-step explanation: square root both sides, 5x5=25 and -5x-5 could equal 25

Answer:

V is inside the circle.

Step-by-step explanation:

We work out the radius of the circle which is the distance between K (0,0) and (6, -4).

Radius = √[(6 - 0)^2 + (-4 - 0)^2]

= √(16 + 36)

= √52.

Now find the distance of point V from K(0,0):

= √((√2-0)^2 + (-7-0)^2]

= √(2 + 49)

= √51.

This is less than the radius of the circle, so V lies inside it.

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

Answer:

-8

Step-by-step explanation:

47 = -7x -9

Add 9 to each side

47+9 = -7x-9+9

56 = -7x

divide each side by -7

56/-7 = -7x/-7

-8 = x