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The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is

0.7⁴ = 0.2401

4 = [tex]log_{0.7} (0.2401)[/tex]

The exponential form of the logarithmic equation can be represented below:

Using logarithm rules,

logₐ b = x

Can be represented in exponential form as follows:

aˣ = b

Therefore,

4 = [tex]log_{0.7} (0.2401)[/tex]

using the logarithm rule described above can be represented in exponential form as follows:

0.7⁴ = 0.2401

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Answer:

0.7⁴ = 0.2401

Step-by-step explanation:

Step-by-step explanation:

Answer:

3279

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then

S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279

Answer:

[tex]- \frac{3}{5}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

m = slope = [tex]-\frac{3}{5}[/tex]

x = (x , y)

b = y-intercept = [tex]- \frac{7}{9}[/tex]

With this given information, your slope will be [tex]-\frac{3}{5}[/tex]

Answer:

-3/5

Step-by-step explanation:

The answer is -3/5 I think

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

Answer:

y = -20/5 or -4/1 + 20 for the equation

Answer:

3x - 5

Step-by-step explanation:

Answer:

26/3

Step-by-step explanation:

6 1/2 divided by 3/4 = 13/2 divided by 3/4

[tex]\frac{13}{2} / \frac{3}{4}\\[/tex]

[tex]=\frac{13}{2} * \frac{4}{3}[/tex]

=[tex]\frac{26}{3}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

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Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

Answer:

At the bottom of the text.

Step-by-step explanation:

The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).

1. 72° as well.

2. 180-70-70 = 40°

3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°

4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]

5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]

Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

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Step-by-step explanation:

Answer:

sorry I cannot understand that

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

Answer:

48x-8w+32

Step-by-step explanation:

Multiply -8 to every factor in the equation

(-8)(-6x) +(-8)w (-8)(-4)

48x -8w +32

Hope this helps :)

a) 2

b) 93

that's the answer

Answer:

1007721.54

Step-by-step explanation:

You first divide 10495 divide 530 which equals 19.8. Then you multply it by 48939 and get 969084.53. Then you add 38637 to 969084.53. Coulda just used a caculator.

Answer:

ion

Step-by-step explanation:srry

Answer:

B

Step-by-step explanation:

Edge 2021.

Answer:

9

Step-by-step explanation:

To calculate the value of x we must first understand the total value of all angles in a triangle.

Sum of all angles in a triangle = 180 degrees

That said, we need to write an equation for the total number of degrees in the triangle and solve for x

This will be as follows:

(13x+2)+(5x-7)+(3x-4)=180

The we combine the like terms. This will be as follows:

(13x+5x+3x)+(2-7-4)=180

Simplify further to get

21x-9=180

Simplify further by collecting all like terms on one side of the equal. This will entail the addition of 9 on each side of the equal sign as follows:

21x-9+9=180+9

you will find 21x=189

Simplify further by dividing both sides of the equal sign by 21 to solve for x

21x/21=189/21

Therefore x=9

Answer:

Step-by-step explanation:

Answer:

2 x 7

Step-by-step explanation:

4 x 7 = 28

Since you want doubled, we have to half to find start.

28/2 = 14

Only solid equation that equals 14 is 2 x 7

And since 4 is a double of 2, the answer checks out

The multiplication fact that can be doubled to find 4 x 7 is

2 x 7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 7 = 28

Now,

The multiplication of 2 x 7 = 14.

If 2 x 7 is double we get,

2 x (2 x 7) = 2 x 14 = 28

Thus,

The multiplication fact is 2 x 7.

Learn more about expressions here:

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Answer:

31800000

Step-by-step explanation:

Answer:

P and R

Step-by-step explanation:

P and R are similar because R is the same thing as P but 2 times bigger.

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation: