Type the correct answer in the box. Write your answer as a whole number. The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is . Reset Next

Answer:

\( log_{2}(x) + log_{2}(y) + log_{2}(z)\)

Step-by-step explanation:

\(5 log_{2}(xyz)^{ \frac{1}{5} } \\ \\ = 5 \times \frac{1}{5} log_{2}(xyz) \\ \\ = log_{2}(xyz) \\ \\ = log_{2}(x) + log_{2}(y) + log_{2}(z)\)

Answer:

-2, -1, 0, 1, 2,

Step-by-step explanation

Divide the whole thing by 4.

You will have -2 \(\leq\) n < 3

The only values that fit range from -2 to 2.

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.

Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.

When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.

The limit is set at five.

All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)

The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"

π + √40

= 3.1416 + 6.3245

= 9.4661 ≈ 9.47

Value is therefore 9.47.

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Take a picture of the graph then re- upload the question with the same words from this one. without it i cannot solve the problem and the whole math equation relies on that graph which isn't here  

The cost if a client earns $1500 the first month is;  $36875

The formula for the equation of a straight line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

We are told that a job hotline service charges $25 plus a 4% commission, c, on the first month of earnings.

First month total charge;

T = $25 + 0.04c

We are told that the client earns $1500. Thus;

1500 = 25 + 0.04c

c = (1500 - 25)/0.04

c = $36875

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-Answer:-10

Step-by-step explanation:

Answer:

6.7 x 105 = 703.5

2.3 x 102 = 234.6

703.5 - 234.6 = 468.9

Step-by-step explanation:

Using only 32 cents and 20 cent stamps Charlie put 3 dollars and 36 cents on a package he sent to his sister. He used 8- 32 cent stamps and 4-20 cent stamps.

Let x = Number of 20c stamps.

So, 2x = Number of 32c stamps.

20(x) + 32(2x) = 336

20x + 64x = 336

84x = 336

x = 4 (20c stamps)

2x = 8 (32c stamps).

Verify:

4 x 20 = 80 cents

8 x 32 = 256 cents

80+256 = $3.36.

Therefore, Charlie used 4 - 20 cent stamps and 8 - 32 cent stamps to sent the package to his sister.

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Answer:

48

Step-by-step explanation:

4x1/3=4/3

4/3x(-8)=-32/3

-32/3x9=-288/3

-288/3x(-1/2)=288/6

288/6=48

Answer:

48

Step-by-step explanation:

4 x 1/3 x -8 x 9 x -1/2 = 4 x 1 x -4 x 3 x -1 = -16 x 3 x-1 = -48 x -1 = 48

Answer:

s = p - q - 1

Step-by-step explanation:

q + 1 + s = p  Subtract q and 1 from both sides

q -q +1 - 1 + s = p - q -1

s = p - q - 1

Helping in the name of Jesus.

Answer:

The answer is 5 divided by 8, or answer A.

Answer:

Answer A, because 5 divided by 8 is the same as 5/8

Step-by-step explanation:

Answer:

x = t+ka/k

Step-by-step explanation:

First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division

Then you open the brackets which makes x-a = t/k

Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k

Answer:

x = \(\frac{t+ka}{k}\)

Step-by-step explanation:

k(x - a) = t ← distribute parenthesis on the left side by k )

kx - ka = t ( add ka to both sides )

kx = t + ka ( divide both sides by k )

x = \(\frac{t+ka}{k}\)

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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Answer: For 6 cups of gravy, Yolanda will have 36 servings of potatoes

Step-by-step explanation:

Step 1

Since  Yolanda has a  1/6-cup of ladle for one full serving

Then for every serving the 1/6- cup ladle  is used and can be expressed as

1 serving  =1/6-cup of ladle

Step 2--- Solving

Serving of potatoes for  1 cup is

1 serving  =1/6 cup of ladle

?? servings=1 cup of ladle ( cross multiply)

=  1 x 6/1 =  6 servings

Therefore  6 cups of gravy =  6 servings x 6 = 36 servings of potatoes

Therefore , the solution of the given problem of expressions comes out to be x = 1.0730 is roughly the answer to the equation 10*e(³ˣ) = 250.

When variables are shifting, estimates should be created that mix joining, disabling, and instead of randomly  dividing. They could answer a puzzle collectively, offer some information, and instead software. Formulas, elements, and mathematical operations like addition, subtraction, grouping, and combination are all found in a statement of truth. Words and sentences can both be evaluated and analysed.

Here,

In order to find x in the equation 10*e(3x) = 250, we can start by dividing both parts by 10 to isolate the exponential term:

=> e³ˣ = 25

The exponential can then be removed by taking the natural logarithm (ln) of both sides:

=> ln(e(³ˣ) = ln(25)

We can simplify the left half by using the fact that ln(ey) = y:

=> 3x = ln(25)

By multiplying both parts by 3, we can finally find the value of x:

=>x = (1/3) * ln(25)

We can use a computer to determine that the value of ln(25) is roughly 3.2189. Therefore:

=> x ≈ (1/3) * 3.2189

=> x ≈ 1.0730

So x = 1.0730 is roughly the answer to the equation 10*e(³ˣ) = 250.

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If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.

The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.

A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.

Then the torque that the magnetic field exerts on the coil will be

The torque is given as

\(\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}\)

The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have

\(\rm \tau = I AB \sin \theta\)

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0

Then we have

\(\rm \tau = I AB \sin 0\\\\\tau = 0\)

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Answer: x = -8

Step-by-step explanation:

Move all terms that don't contain x to the right side and then solve

Answer:

Step-by-step explanation:

Answer:

n+2 represemts the number of sides in the polygon for the nth member of the sequence

Therefore , the solution of the given problem of area comes out to be  40000 is the number of squares cut into 1 cm².

A decent indicator of its size overall is its surface area. The environment is considered when calculating a right triangle's squared. Everything's overall size is determined by its surface area. The amount of water on the inside of a cuboid is equal to the sum of volumes on each of its six horizontal sides. To determine the box's dimensions, use the formula below: The region in 2lh, 2lw, or 2hw is identical (SA). The overall area of the flexible shape represents the area.

Here,

Given :

=> 4 m² is the area of square.

and to find the value of number of squares cut into 1 cm²

Thus , 4 m² into cm² is :

=> 4 * 100 * 100

=> 40000 cm²

thus , the number of squares cut into 1 cm²

=> 40000/1

=> 40000

So ,40000 is the number of squares cut into 1 cm².

Therefore , the solution of the given problem of area comes out to be  40000 is the number of squares cut into 1 cm².

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Answer:

Just put each factor = 0 and get the answer

2x-7 = 0

x = 7/2

7x + 2 = 0

x = -2/7

Thus answer is first option

Answer:

x = 7/2  This is a zero of the polynomial

x = -2/7  This is the other zero

Step-by-step explanation:

This quadratic function is the product of two linear factors.  Set each of these factors = to zero and solve each resulting equation for x:

2x - 7 = 0 => 2x = 7  =>  x = 7/2  This is a zero of the polynomial.

7x + 2 = 0 =>  7x = -2  =>  x = -2/7  This is the other zero.

Answer:

1. (C) Distributive property | 2. (A) Associative property | 3. (D) Simplify

Step-by-step explanation:

Here's my attempt:

Reason 1:

The first reason is (C) distributive property of multiplication because you're taking the previous step and spreading it out (distributing it). Here's an example of the distributive property of multiplication:

3(4+7) = 3*4+3*7=12+21=33

This will be the same as solving 3(4+7) using PEMDAS

In this step, you're spreading out the problem the same way as the example shown is doing.

Reason 2:

The second reason is (A) the associative property of multiplication. The associative property of multiplication says that changing the grouping of the numbers in a multiplication problem doesn't change the product.

Here's an example:

(6*7)*8 = 6*(7*8)

This way, the step groups together two pairs of factors to solve the last step without changing the product.

Reason 3:

The final reason is (D) Simplify because the step doesn't use the commutative property of multiplication. Why not? Because the commutative property of multiplication states that changing the order of factors in a multiplication problem doesn't change the product (note that this is different than the associative property of multiplication). Instead, the last step just simplifies the problem.

Hopefully, you read through my explanation, and it helped. Have a good day :D

The table shows the multiplication of two linear expressions. Select the correct reason for each step.

Reason 1:

✔ distributive property

Reason 2:

✔ commutative property of multiplication

Reason 3:

✔ associative property of multiplication

Reason 4:

✔ simplify

The three different ways are:

The greatest common divisor (GCD) of 3 and 4 is 1, which can be expressed as a linear combination of 3 and 4 in multiple ways. The above expressions are three examples of how 1 can be represented as a linear combination of 3 and 4.

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.The GCD of two or more integers can be found using various algorithms, such as the Euclidean algorithm, the binary GCD algorithm, and the extended Euclidean algorithm.

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Answer:

5200

Step-by-step explanation:

99.6 can be rounded to 100.

100*52 is 5200

Answer:

5200.

Step-by-step explanation:

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

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The real root of the given equation using the fixed-point method is \(3.427\), the Newton-Raphson method is \(3.427\) and secant method is \(3.427\) respectively.

\(\textbf{Given equation:}\)

The given equation is \(f(x) = x^3 - 6x^2 + 11x - 6.1\).

\(\textbf{a. Fixed Point method:}\)

Using the formula \(X_n = g(X_{n-1})\), where \(g(x)\) is a suitable function of \(x\) chosen so that \(f(x) = 0\) can be written as \(x = g(x)\). We will choose \(g(x) = (6x^2 - 11x + 6.1)^{\frac{1}{3}}\) as the value of \(g(x)\).

Thus, we have:

\(X_0 = 3.5\),

\(X_1 = (6(3.5)^2 - 11(3.5) + 6.1)^{\frac{1}{3}} \approx 3.476\),

\(X_2 = (6(3.476)^2 - 11(3.476) + 6.1)^{\frac{1}{3}} \approx 3.449\),

\(X_3 = (6(3.449)^2 - 11(3.449) + 6.1)^{\frac{1}{3}} \approx 3.427\).

\(\textbf{b. Newton Raphson method:}\)

Using the formula \(X_{n+1} = X_n - \frac{f(X_n)}{f'(X_n)}\), where \(f'(X_n)\) is the derivative of \(f(x)\) at \(X_n\). We choose \(f'(x) = 3x^2 - 12x + 11\) as the value of \(f'(x)\).

Thus, we have:

\(X_0 = 3.5\),

\(X_1 = X_0 - \frac{f(X_0)}{f'(X_0)} = 3.5 - \frac{f(3.5)}{f'(3.5)} \approx 3.430\),

\(X_2 = X_1 - \frac{f(X_1)}{f'(X_1)} = 3.430 - \frac{f(3.430)}{f'(3.430)} \approx 3.427\),

\(X_3 = X_2 - \frac{f(X_2)}{f'(X_2)} = 3.427 - \frac{f(3.427)}{f'(3.427)} \approx 3.427\).

\(\textbf{c. Secant method:}\)

Using the formula \(X_{n+1} = X_n - \frac{f(X_n)(X_n - X_{n-1})}{f(X_n) - f(X_{n-1})}\), where \(X_n\) and \(X_{n-1}\) are two initial approximations. We choose \(X_n = 3.5\) and \(X_{n-1} = 2.5\) as the initial values, as they are close to the root of the equation \(f(x) = 0\).

Thus, we have:

\(X_0 = 2.5\),

\(X_1 = 3.5\),

\(X_2 = X_1 - \frac{f(X_1)(X_1 - X_0)}{f(X_1) - f(X_0)} = 3.5 - \frac{f(3.5)(3.5 - 2.5)}{f(3.5) - f(2.5)} \approx 3.434\),

\(X_3 = X_2 - \frac{f(X_2)(X_2 - X_1)}{f(X_2) - f(X_1)} = 3.434 - \frac{f(3.434)(3.434 - 3.5)}{f(3.434) - f(3.5)} \approx 3.427\).

Thus, the real root of the given equation using the fixed-point method is \(3.427\), the Newton-Raphson method is \(3.427\) and secant method is \(3.427\) respectively.

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Answer:

There is no affirmative formula, but this is the basics

Step-by-step explanation:

DDM Formula=

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.

The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.

The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.

The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.

Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.

In linear equation,the number of customers who will pay by debit card will be 88.97.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Known as a linear equation, this type of equation has a highest power of one for each variable.

Last week there were

87 + 24 + 7 = 118 customers.

That means that the fraction of the customers, who paid by debit card, was

7/118  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 7/118 if customers use credit cards

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 7 / 118 = 88.97

Therefore the number of customers who will pay by debit card will be 88.97.

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A real-world example of how piecewise functions can be used is in:

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5