Solve the equation. 4 2/5 + k = -3 2/11​

Given:

[tex]x=\log_{10}31,500[/tex]

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

[tex]x=\log_{10}31,500[/tex]

It can be written as

[tex]x=\log_{10}(2^23^25^37)[/tex]

[tex]x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)[/tex]     [tex][\because \log(ab)=\log a+\log b][/tex]

[tex]x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)[/tex]

[tex]x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451[/tex]

[tex]x=4.49835[/tex]

Clearly, the value of x lies between 4 and 5. So, [tex]x>4[/tex] and [tex]x<5[/tex].

Therefore, the correct options are C and D.

The true statements are: (c) x > 4 and (d). x < 5

The logarithmic expression is given as:

[tex]x = \log_{10}(31500)[/tex]

Express 31500 as a product of 100

[tex]x = \log_{10}(315 * 100)[/tex]

Apply the law of logarithm

[tex]x = \log_{10}(315) + \log_{10}(100)[/tex]

Evaluate log 100 base 10

[tex]x = \log_{10}(315) + 2[/tex]

Evaluate log 315 base 10

[tex]x = 2.50 + 2[/tex]

Add the expressions

[tex]x \approx 4.50[/tex]

4.5 is greater than 4 and less than 5

Hence, the true statements are: (c) x > 4 and (d). x < 5

Read more about logarithms at:

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Answer:

radius = 1.4

Step-by-step explanation:

The formula for circumference is as follows:

[tex]C = d\pi[/tex]

or

[tex]C = 2r\pi[/tex]

However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).

Anyhow, We would substitute like this:

[tex]8.8 = d\pi[/tex]

We know that pi, is going to be equal to: 3.14159

So we work from there...

[tex]8.8=d(3.14159)\\2.8011=d[/tex]

Diameter divided by 2 would be the radius, and thats:

1.4006

or 1.4

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Answer:

2

Step-by-step explanation:

5x10=50

5x2=10; 10x2=20

10x20=200

Answer:

36

Step-by-step explanation:

200×3×6/100 =36.is the ans

Answer:

5

Step-by-step explanation:

Answer:

80 TShirts in 20 minutes

Step-by-step explanation:

32/8 = 4 Tshirts in a minute

4 x 20 = 80 TShirts in 20 minutes

Answer:

y = -3/4x - 7

Step-by-step explanation:

Slope intercept:

y - y1 = m(x - x1)

y + 1 = -3/4(x + 8)

y + 1 = -3/4x - 6

y = -3/4x - 7

Answer: 150

Step-by-step explanation:

A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.

Since the total cost function is given as

TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q

Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

Answer:

8 triangles

Step-by-step explanation:

1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.

Answer:

two angles on the same position on different lines :)

Answer:

k = 4/25 or 0.16

Step-by-step explanation:

Given the following data;

y = 4/5

x = 5

To find the variation constant, k;

y is directly proportional to x

Mathematically, y = kx

Substituting into the formula, we have;

4/5 = k5

Cross-multiplying, we have;

4 = 25k

k = 4/25

Answer:

The answer is 6 and 1/12 yards :]

Answer:

0.78

Step-by-step explanation:

0.03*26=0.78 simple math lol

Answer:

4(6a+3b-10c)

Step-by-step explanation:

Answer and Step-by-step explanation:

All of the terms have a common factor of 4.

4(6a + 3b - 10c)

#teamtrees #PAW (Plant And Water)

Answer:

(-19/2, -5)

Step-by-step explanation:

Given the two equivalent equations

4x – 9y = 7 .... 1

–4x + 6y = 8 ....2

Adding both equations

-9y + 6y = 7+8

-3y = 15

y = -15/3

y = -5

Substitute y = -5 into 1

From 1; 4x - 9y = 7

4x - 9(-5) = 7

4x + 45 = 7

4x = 7 - 45

4x = -38

x = -38/4

x = -19/2

Hence the solution is (-19/2, -5)

Answer:

m = 0

Step-by-step explanation:

Let's figure out the change in x (the 'run') and the change in y (the 'rise').  Going from the first point to the second, we see that x increases by 3 and y stays the same.  Therefore we know that the line is a horizontal one with zero slope.

Answer:

square, triangle, trapezoid,rectangle

The Two-dimensional figures are square, triangle, rectangle, and trapezoid.

Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.

The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:

Learn more about two-dimensional, here:

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#SPJ2

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

Answer:

60

Step-by-step explanation:

if it has a square in the center of the angle it means it is 90 degrees

so a straight line adds up to 180b

90 +30+x=180

x=60

Answer:

The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].

0.4713 grams would remain in the tumor after 8.5 days.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance that decays, after t days, is given by:

[tex]A(t) = A(0)*(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A tumor is injected with 0.52 grams of Iodine-125.

This means that [tex]A(0) = 0.52[/tex]

After 1 day, the amount of Iodine-125 has decreased by 1.15%.

This means that [tex]r = 0.0115[/tex]

So

[tex]A(t) = A(0)*(1-r)^t[/tex]

[tex]A(t) = 0.52*(1-0.0115)^t[/tex]

[tex]A(t) = 0.52*(0.9885)^t[/tex]

Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

This is A(8.5).

[tex]A(t) = 0.52*(0.9885)^t[/tex]

[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]

0.4713 grams would remain in the tumor after 8.5 days.

Answer:

Second and third answer

Step-by-step explanation:

Correct :

Second : 30,31,32

this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.

Third : 30 , 29 , 28

Again same reason

Wrong :

First : 0

This is wrong because it would plug in as (0)(6) + 5 ≥10

solve it :

0*6 = 0 so

0+5 ≥10 , so i tis wrong

Last option : -30,-29,-28

This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.

Answer:

4,250.00

Step-by-step explanation:

Brainliest?

Answer:

$4,250.00 Answer choice C

Step-by-step explanation:

Just took the test!