Find b: If a = 9 and c = 9
С
a
b

Answer:

400m³

Step-by-step explanation:

Multiply each section individually. First, multiply 8 x 5 x 4.  This gives you 160.  Now you multiply 5 x 12 x 4, which equals 240.

Now you add them together to get 400.

Answer:

  9.  9x -4y = -36

  10.  geometric; terms have a common ratio of 1/2. Never 0 or negative; 1/2 times a positive number is a positive number.

Step-by-step explanation:

You want the equation of the line with x-intercept (-4, 0) and y-intercept (0, 9), and you want to know if the sequence 40, 20, 10, 5, ... is arithmetic.

It is helpful to know a few different forms of the equation for a line. One of them is "intercept form," x/a +y/b = 1, where 'a' and 'b' are the x- and y-intercepts, respectively.

For intercepts (-4, 0) and (0, 9), the equation in this form is ...

  x/(-4) +y/9 = 1

Multiplying by -36 puts it in standard form:

  9x -4y = -36

(a) First differences of the sequence 40, 20, 10, 5 are ...

  -20, -10, -5 . . . . . not constant

Since the first differences are not constant this is not an arithmetic sequence.

Ratios of successive terms are ...

  20/40 = 10/20 = 5/10 = 1/2 . . . . . . constant

A sequence of terms with a common ratio is a geometric sequence. This sequence has a common ratio, so is geometric.

(b) The common ratio is 1/2, a positive number. The given terms of the sequence are positive numbers. Each successive term is 1/2 the previous term, so all terms will be positive—never 0 or negative. (The product of two positive numbers is always positive.)

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = [tex](1 - lm z)^{-1}[/tex] as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + [tex]2^{1/z}[/tex] as z approaches infinity does not exist. This is because as z approaches infinity, the term  [tex]2^{1/z}[/tex] approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of [tex]2^{1/z}[/tex] approaches 1, but if we approach infinity along the imaginary axis, the limit of [tex]2^{1/z}[/tex] approaches infinity. Therefore, the limit of f(z) does not exist.

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The distance from Megan to the point on the ground directly below the kite would be = 80yd

To calculate the distance, the Pythagorean formula should be used such as follows;

c² = a² + b²

a = 60yd

C= 100yd

b = ?

That is;

100² = 60² + b²

make b the subject of formula;

b² = 10,000 - 3600

b² = 6400

b= √6400

b = 80yd

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Difference of density per acre of wheat and corn = 105

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

Yield in 110 acre farm = 17,600 Bushes of corn

Yield in 250 acre farm = 13,750 Bushes of wheat

Find:

Difference of density per acre of wheat and corn

Computation:

Yield per acres Bushes of corn = 17,600 / 110

Yield per acres Bushes of corn = 160

Yield per acres Bushes of wheat = 13,750 / 250

Yield per acres Bushes of wheat = 55

Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat

Difference of density per acre of wheat and corn = 160 - 55

Difference of density per acre of wheat and corn = 105

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Answer:

17

Step-by-step explanation:

60=4d-8

We move all terms to the left:

60-(4d-8)=0

We get rid of parentheses

-4d+8+60=0

We add all the numbers together, and all the variables

-4d+68=0

We move all terms containing d to the left, all other terms to the right

-4d=-68

d=-68/-4

d=17

The solution to the inequality is any value of X that is less than or equal to -36

What is Inequality?

An inequality is a relationship that compares two numbers or other mathematical expressions that are not equal. It is most commonly used to compare the sizes of two numbers on a number line.

The inequality X/(-3) ≥ 12 can be solved as follows:

We begin by multiplying both sides of the inequality by -3, which will reverse the direction of the inequality since we are multiplying by a negative number. This gives:

X ≤ -36

Therefore, the solution to the inequality is any value of X that is less than or equal to -36.

In interval notation, we can write the solution as:

(-∞, -36]

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Therefore, the cylinder stretch in the new 6.00 m length of steel pipe is 0.094% of its original length, or about 5.64 mm.

The cylinder, which is frequently a three-dimensional solid, is one of the most primitive curved geometric forms. In simple geometry, it is known as a prismatic with a circular as its basis. The term "cylinder" is also used to refer to an infinitely curved surface in a number of modern domains of geometry and topology. A "cylinder" is a three-dimensional object made up of curved surfaces with round tops and bottoms.

Here,

The total weight supported by the new 6.00 m length of pipe is the weight of the pipe and drill bit beneath it, which is:

W = (20.0 kg/m)(3.00 km) + 100 kg

W = 60,100 kg

The equivalent diameter of the solid cylinder is 5.00 cm, or 0.05 m, so its radius is 0.025 m. The cross-sectional area of the steel pipe is therefore:

A = πr^2 = π(0.025 m)^2 = 0.0019635 m^2

The modulus of elasticity for steel is typically around 200 GPa (gigapascals), or 200,000,000 N/m^2. Using the formula for the stretch of a rod under tension, which is:

ΔL/L = F/(AE)

ΔL/L = (Wg)/(AE)

where g is the acceleration due to gravity (9.81 m/s^2).

Substituting the values we have calculated, we get:

ΔL/L = [(60,100 kg)(9.81 m/s^2)]/[(0.0019635 m^2)(200,000,000 N/m^2)]

ΔL/L = 0.0009397 or 0.094%

Therefore, the stretch in the new 6.00 m length of steel pipe is 0.094% of its original length, or about 5.64 mm.

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Answer:

The subtraction expression to determine the change in temperature is:

-11 °C - (-6 °C)

Simplifying the expression:

-11 °C + 6 °C

The change in temperature is -5 °C.

The percentage of amount paid toward principal is, 70.4%

And, the percentage of amount paid towards interest is,

⇒ 20.6%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

An individual borrowed $95,000 at an APR of 5%.

Hence,

The percentage of amount paid toward principal can be calculated as;

Percent amount = 95,000/(450 × 25 × 12) × 100

                         = 95,000 / 135,000 × 100

                         = 70.4%

Hence, And the percentage of amount paid towards interest will be:

⇒ 100% - 70.4%

⇒ 20.6%

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Answer:

Step-by-step explanation:

18% of $3200.80 = $576.144.

$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.

The missing term in the sequence 5, 11, 17, ?, 31, 41 is B. 23.

We have been given the series 5, 11, 17, ?, 31, 41. We need to find the missing number out of the given sequence.

Let us write the prime numbers upto 50.

2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47.

By looking into the above prime numbers we can make out our sequence. The series is formed by the alternate prime numbers. Thus we can complete the given sequence as,

5, 11, 17, 23, 31, 41.

Thus we got the missing number as 23 in the sequence 5, 11, 17, 23, 31, 41.

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Find the missing term in the sequence 5, 11, 17, ?, 31, 41.

Answer:

A scale factor of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?

The actual height of the statue is 252 feet (1.2 x 210).

Answer:

252

Step-by-step explanation:

Answer:

Step-by-step explanation:

here are the steps to solve this problem:

Draw a line segment MO and a point N on it, such that N is between M and O. Label the length of MN as 2x, the length of NO as x-2, and the length of MO as 2x-9.

Write the equation that relates the lengths of MN, NO, and MO. This equation is MO = MN + NO, since MO is the sum of MN and NO.

Substitute the given expressions for MN, NO, and MO into the equation from step 2. We get:

2x-9 = 2x + (x-2)

Simplify the equation by combining like terms. We get:

2x-9 = 3x-2

Bring all the x terms to one side of the equation and all the constant terms to the other side. We get:

-x = 7

Divide both sides of the equation by -1 to isolate x. We get:

x = -7

Check the solution by plugging it back into the original equation. We get:

2(-7)-9 = -23

2(-7) + (x-2) = -16

The two sides of the equation are not equal, so x = -7 is not a valid solution.

Recheck the original problem to see if there was an error in the given values, or if the problem was written incorrectly. We notice that the values of MN, NO, and MO are all positive, so x cannot be negative. Therefore, we assume that there was an error in the given solution for MO, and that it should be 2x+9 instead of 2x-9.

Rewrite the equation from step 2 with the corrected value for MO. We get:

2x+9 = 2x + (x-2)

Simplify the equation by combining like terms. We get:

2x+9 = 3x-2

Bring all the x terms to one side of the equation and all the constant terms to the other side. We get:

x = 11

Check the solution by plugging it back into the original equation. We get:

2(11) + (x-2) = 22 + 9 = 31

2(11) + (11-2) = 20 + 9 = 29

The two sides of the equation are not equal, so x = 11 is not a valid solution.

Recheck the original problem to make sure there are no other errors. We notice that the length of MN is given as 2x, but we haven't yet found the value of x. This means we need to solve the equation from step 11 for the value of 2x:

2x = 2(11) = 22

Therefore, the numerical length of MN is 22.

Answer: one

Step-by-step explanation:

The requried first year in which Nina sees that investment exceeded investment B is 5th year.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
According to the given data,
Equation models for the given condition are,
For investment A

y = 50(1.08)ˣ

For investment B
y = 60 + 3x

Where y is the total amount after x years of passing.

When plotting the graph of both equations we can see Investment A will surplus the graph of Investment B at x = 5.56

Thus, the requried first year in which Nina sees that investment exceeded investment B is 5th year.

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The numbers are written in their standard and scientific notations as follows. Fill in the missing values accordingly.

3.0 * 10⁴ = 3000

6.79 * 10⁻³ =  0.00679

0.0216 = 2.16 * 10⁻²

9.02 * 10⁷ = 90200000

1000000 = 10⁶

1.02 * 10⁻⁵ = 0.0000102

0.000723 = 7.23 * 10⁻⁴

9.99 * 10⁹ = 990000000

56000 = 5.6 * 10⁴

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It is also called standard form or standard index form e.g  1000000 = 10⁶ and 0.0001 = 10⁻⁴

3.0 * 10⁴ = 3.0 * 10000 = 3000

6.79 * 10⁻³ = 6.79 * 0.001 = 0.00679

0.0216 = 2.16 * 10⁻²

9.02 * 10⁷ = 9.02 * 10000000 =  90200000

1000000 = 10⁶

1.02 * 10⁻⁵ =  1.02 * 0.0001 = 0.0000102

0.000723 = 7.23 * 10⁻⁴

9.99 * 10⁹ = 990000000

56000 = 5.6 * 10⁴

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=9/2

According to me when you simplify these numbers on the calculator it gave me 9/2.

Problem: (3/2) + (3/2) + (3/2) = unknown value, times  (1/2)

Solution:

First, we can simplify the left side by adding the fractions:

(3/2) + (3/2) + (3/2) = 9/2

Next, we can divide both sides by (1/2) to solve for the unknown value:

(9/2) ÷ (1/2) = 9

Therefore, the answer is 9.

The reliability of experts who interpret lie detector tests in criminal investigations can be determined by analyzing the results of the random sample of 280 cases that were studied. It is important to look at the overall accuracy of the interpretations, as well as any potential biases or errors that may have affected the results.

To analyze the results, we can look at the number of correct and incorrect interpretations, and calculate the percentage of accurate interpretations. This will give us an overall measure of the reliability of the experts.

We can also look for any potential biases or errors that may have affected the results. For example, we may want to examine whether certain experts were more likely to make accurate interpretations than others, or whether there were any factors that may have influenced the interpretations, such as the type of crime or the suspect's behaviour.

Overall, the reliability of experts who interpret lie detector tests in criminal investigations can be determined by analyzing the results of a random sample of cases and looking for any potential biases or errors that may have affected the results. By doing this, we can gain a better understanding of the accuracy and reliability of these experts and their interpretations.

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The maximum height of the ball from the maximum compression of the spring is 13.39 m

Maximum height is the highest displacement of the object.

Since a spring of spring constant 504 N/m is compressed 7.66 cm by a ball of mass 11.2 g. If the ball is shot straight into the air, we desire the maximum height of the ball.

Using the law of conservation of energy, the elastic potential energy lost by the spring, E equals the gravitational potential energy gained by the ball, E'

So, E = E'

1/2kx² = mgh where

Making h subject of the formula, we have that

h = kx²/2mg

So, substituting the values of the variables into the equation, we have that

h = kx²/2mg

h = 504 N/m × (0.0766 m)²/(2 × 0.0112 kg × 9.8 m/s²)

= 504 N/m × 0.00586756 m²/(2 × 0.0112 kg × 9.8 m/s²)

= 2.95725024 Nm/(0.21952 kgm/s²)

= 13.47 m

So, the maximum height from the springs compression is H = h - x = 13.47 - 0.0766 m

= 13.3934 m

≅ 13.39 m

So, the maximum height is 13.39 m

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Based on the graph, we can see that the relationship between the number of stuffed animals and the number of action figures is proportional since the line passes through the origin (0, 0), which is a characteristic of proportional relationships.

Mathematical relationships between two variables that have a constant multiple of one another are known as proportional relationships. This implies that when one variable rises or falls by a particular factor, the other variable rises or falls by the same amount as well.

In other words, a straight line on a graph that runs through the origin (0, 0) can be used to illustrate a proportionate connection. This is due to the fact that they are proportional, therefore when one variable is equal to zero, the other variable must likewise be zero.

To graph the linear relationship between the number of stuffed animals, x, and the number of action figures, y, we can use the two given data points: (20, 15) and (60, 45).

First, we can find the slope of the line that passes through these two points using the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (20, 15) and (x2, y2) = (60, 45)

slope = (45 - 15) / (60 - 20) = 30 / 40 = 0.75

Next, we can use the point-slope form of the equation of a line to write the equation of the line that passes through the two points:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) = (20, 15)

y - 15 = 0.75(x - 20)

y - 15 = 0.75x - 15

y = 0.75x

Now we can graph the line by plotting the two given points and drawing a straight line passing through them:

Linear relationship graph

Based on the graph, we can see that the relationship between the number of stuffed animals and the number of action figures is proportional, since the line passes through the origin (0, 0), which is a characteristic of proportional relationships.

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The two numbers are 10 and 12

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

The two numbers that have their highest factor as 2 are 4 and 6, 6 and 8, 8 and 10 and 10 and 12.

The numbers above which have least common multiple of 60 are

multiple of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

multiple of 6; 6,12,18,24,30,36,42,48,54,60

multiple in of 10: 10,20,30,40,50,60

multiple of 12: 12,24,36,48,60.

The least common multiple of 6 and 10 is 30

but the least common multiple of 12 and 10 is 60

therefore the two numbers are 12 and 10.

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The value of s-r is 2

What is common ratio?

In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.

each term is equal to the sum of the two terms after it.

=> ar^n = ar^(n+1) +  ar^(n+2)

On dividing both the sides by ar^n and simplfying we get

r= 0.618

 sum of the series is:

s= a/(1-r) , a=first term

=> s= 1/(1-0.618 )

=> s= 2.618

s-r = 2.618  -  0.618  = 2

The value of s-r is 2

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Answer:

The result can be written as (a + 1)².

The number that should be added to complete the square of the expression 4x² - 8x is 1.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To complete the square of the expression 4x² - 8x, add a constant term that will make it a perfect square trinomial.

First, factor out the coefficient of the x² term -

4x² - 8x = 4(x² - 2x)

Next, add a constant term that will make the expression inside the parentheses a perfect square.

To do this, take half of the coefficient of the x term and square it.

Half of -2 is -1, and (-1)^2 is 1.

So add 1 to the expression inside the parentheses to make it a perfect square -

4x² - 8x + 1 = 4(x² - 2x + 1)

Simplify this expression by factoring the trinomial inside the parentheses -

4x² - 8x + 1 = 4(x - 1)²

Therefore, the number is 1.

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Answer: i beleive it is the CEO

Step-by-step explanation:

Answer:

the correct answer is C, the general ledger.

Step-by-step explanation:

When adjusting entries in accounting, an accountant will compare their analysis of the trial balance with the company's general ledger accounts. The general ledger is the master set of accounts that contains all the transactions of the company, including adjusting entries. Adjusting entries are made at the end of an accounting period to update the accounts and ensure that the financial statements accurately reflect the company's financial position and results of operations. These entries may involve accruals of revenue or expenses, prepayments, depreciation, or other adjustments. After making these entries, the accountant will compare the updated balances in the general ledger to the trial balance to ensure that they are accurate and balanced. Therefore, the correct answer is C, the general ledger.

The length of b = √36 = 6 cm.

Length is a measurement of size and it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept in mathematics, science and engineering and many others build it to used to calculate the dimensions of this area. And more it is also used to measure the time it takes to travel.


Triangle ABC is a right triangle with angle B = 90°.

If a = 8 cm and c = 10 cm, we can use the Pythagorean Theorem to find the missing length, b.

The Pythagorean Theorem states that a2 + b2 = c2.

Therefore, b2 = c2 – a2 = 102 – 82 = 100 – 64 = 36.

The length of b = √36 = 6 cm.
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Answer:

R

Step-by-step explanation:

-1 is exactly between 0 and -2, meaning that the answer is R.

R is the right answer