Find the value of the logarithm.
logg1

Answer:

21

Step-by-step explanation:

what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or

Answer:

253.75

Step-by-step explanation:

Total height of the cylinder is  8 ft . Since the tank holds 580 gallons when filled to capacity so in 1 ft height there will be  \frac{580}{8}  gallons oil when filled to capacity .

The point (\(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .

The Coordinate plane can be defined as a 2 D plane formed by the intersection of two line ,

where the horizontal line is called x axis and

the vertical line is called y axis .

In the question ,

the point is given

the point is  (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\) )

writing the mixed fraction  in decimal form , we get

x coordinate = \(-3\frac{1}{2}\) ⇒ -(3*2+1)/2 = -7/2 = -3.5

y coordinate = \(-1\frac{1}{4}\) ⇒ -(1*4+1)/4 = -5/4 = -1.25

So, the point to be plotted on the coordinate plane becomes (-3.5,-1.25)

the points plotted are shown in the figure below .

Therefore , the point ( \(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .

The given question is incomplete , the complete question is

Where is (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\)  ) on the coordinate plane?

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Mean uses \(\frac{17}{18}\) inches of chalk

What is algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

She used \(\frac{1}{3}\) of a piece of chalk that was originally \(2\frac{5}{6}\)  inches long.

Now, we have to find how many inches of chalk did she use

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mean uses 17/18 inches of chalk.

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The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Step-by-step explanation:

\( \frac{2}{3} \times \frac{99}{1} = 66 \: kg\)

Answer:

(it has two solutions)

I hope this helps!

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

226.19 inches

Step-by-step explanation:

I'm pretty sure that's the answer

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

The unit rate from the graph is given by the slope of the straight line graph

To find the slope, we need two pick any two points on the line, say

We pick the points (0,0) and (4, 240)

Therefore the unit rate from the graph is 60miles per hour

we can take the square root of both sides to solve for v: v = ±\(\sqrt[2]{v^{2} }\)Therefore, the solutions for v are v = +|v| and v = -|v|.

An equation is a mathematical statement that two expressions are equal. It usually contains variables, which are symbols representing unknown values, and coefficients, which are numerical or constant values. The goal of an equation is to find the value(s) of the variable(s) that make the equation true. Equations can be written in various forms, such as linear, quadratic, polynomial, exponential, or trigonometric equations.

Given by the question.

I assume you meant to write the equation as follows:

5\(v^{2}\) - 3\(v^{2}\)= 2\(v^{2}\)

To solve for v, we can simplify the equation by combining the like terms on the left-hand side:

2\(v^{2}\)=2*v*v

Now we can divide both sides by 2:

\(2v^{2}\)=v*v=\(v^{2}\)

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ANSWER

The interest rate is 150%

EXPLANATION:

Given that;

The initial amount is $5000

The total amount $20, 000 after 2 years

Total period of the investment is 2 years

To find the interest rate, follow the steps below

1. Find the interest on the investment after two years

In the given data,

The initial amount (principal) is $5000

The total amount after 2 years is $20, 000

Recall that,

Total amount = Interest + principal

20, 000 = interest + 5000

subtract 5000 from both sides of the equation

20, 000 - 5,000 = interest + 5000 - 5000

15,000 = interest

Therefore, the interest on the investment after 2 years is $15, 000

Step 2; Find the interest rate using the simple interest formula

Where

I is the interest

P is the principal

R is the interest rate

T is the time of the investment

Therefore, the interest rate is 150%

Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

Part a: p gets closer to 0, the number of T-shirt purchased increases.

Part b: p gets larger, the number of T-shirt purchases decreases: so it is a decreasing function.

For the given function;

The relation of the number of T-shirt and the price of the T-shirt are given by the function; n(p) = 800/p.

The graph of the function is given as; y = n(p)

From, the graph it is clear that when, the value on x axis increases, the value on y-axis decreases.

Thus, the function is decreasing function.

Part a: p gets closer to 0,

Now, when, p gets closer to 0, the number of T-shirt purchased increases as the there is a reduction of the price of T-shirt.

Part b: p gets larger.

When p gets larger, the number of T-shirt purchased decreases, as there is a increase in the price of the T-shirt.

Thus, the T-shirt purchased will be reduced.

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Answer:

12, 23, 67, 0 is the answer

Answer:

a or b

Step-by-step explanation:

we have you find the answer and an integer in a set of number or its opposites

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

Step-by-step explanation:

Use the formula for the cos of an angle:

\(cos\theta=\frac{adj}{hyp}\)  where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:

\(.33=\frac{4}{hyp}\)

Solve that equation for hyp to get:

\(hyp=\frac{4}{.33}\)

Dividing that gives us that hyp (aka "c") = 12.121212...

c ≈ 12.12 (approximate value of side c in the right triangle).

Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

In this case, cos B = 0.33.

We are given the length of the adjacent side, a, which is 4 units.

Use the equation cos B = a/c and rearrange it to solve for c:

cos B = a/c

Multiply both sides by c: c * cos B = a

Divide both sides by cos B: c = a / cos B

Substitute the values we have: c = 4 / 0.33.

Calculate the value of c using a calculator or by performing the division:

c ≈ 12.12.

Therefore, the length of side c in the right triangle is approximately 12.12 units.

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Answer:

The answer is in the photo

Hope i helped. :)

Btw it was cut off

Step-by-step explanation:

The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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Answer: D

Step-by-step explanation:

Answer:

H0 : μD = μN

H0 : μD > μN

Test statistic = 2.192

Pvalue = 0.017

there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

Step-by-step explanation:

Given the data:

n1 = 22 ; x1 = 52.1 ; s1 = 45.1

n2 = 22 ; x2 = 27.1 ; s2 = 26.4

H0 : μD = μN

H0 : μD > μN

The test statistic :

(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))

Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)

Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]

Sp = 36.952469

Test statistic :

(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))

25 ÷ (36.952469 * 0.3086066)

25 ÷ 11.4037758196954

Test statistic = 2.192

Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192

Pvalue = 0.017

α = 0.05

Pvalue < α

Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option (1).

Planes S contains points B and F.

False.

(Point B lies on plane S and point F lies on plane R)

Option (2).

The line containing points A and B lie on the plane T.

True.

(points A and B lie on plane T)

Option (3).

Line v intersects lines x and y at the same plane.

False.

Option (4).

Line z intersects plane S at point C.

True.

Option (5).

Planes R and T intersect at line y.

True.

Answer:its b d e

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 198.416

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

{0, 1}

Step-by-step explanation:

Solving for 'x' in the inequality:

\(7x+3<17\\7x+3-3<17-3 \leftarrow \text{Subtraction Property of Equality}\\7x<14\\7x/7<14/7 \leftarrow \text{Division Property of Equality}\\\boxed{x<2}\)

X's value has to be less than two to make the inequality true. So, {0, 1} should be the correct answer.

Answer:

I took the quiz and the answer is B

Step-by-step explanation: