Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
6 ounces butter
5 ounces sugar
7 ounces of flour
3 eggs
2 teaspoons (tsps) baking powder

Answer:

V= 11*8*5

V= 88*5

V= 440 cm3

Answer:

4 boxes and 13 donuts in each box

Step-by-step explanation:

$20÷5= 4 boxes

52÷4= 13 donuts

Answer: 260

Step-by-step explanation:

$5 per doughnut box

52 x 5 = 260

value of x in given exponential equation is  =  1

In, mathematics a exponential function or equation is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the logarithm function can be written as  \(a^x\) .

where, a is the base of function

           x is the expression

Mathematically, if  \(log_aN = x\) is an logarithmic function then, this can be converted to exponential function as  \(a^x = N\).

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

Some important formulas of exponents :

According to given statement,

4^3x = 64

=> 4^3x = 4³

=> 3x = 3

=> x = 1

Thus solution for this equation is x =1.

To know more about exponential equations, visit :

https://brainly.com/question/28278137

#SPJ4

25 degrees is the measure of angle x from the rectangle.

The given figure is a triangle and each of the triangle is isosceles is nature that is the base angles are equal.

In order to determine the value of x, we will use the expression below:

x + x + (180 - 50) = 180

x + x + 130 = 180

Simplify to have:

2x + 130 = 180

Subtract 140 from both sides

2x = 180 - 130

2x = 50

x = 50/2

x = 25 degrees

Hence the measure of the angle x from the diagram is 25 degrees.

Learn more on angle in a triangle here: https://brainly.com/question/25215131

#SPJ1

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

The Discrete Fourier Transform (DFT) of the given sequence, X(n) = 8(n) + 28(n-2) + 38(n-3), can be computed using the Decimation-in-Time Fast Fourier Transform (DIT-FFT) algorithm.

The DIT-FFT algorithm is a widely used method for efficiently computing the DFT of a sequence. It involves breaking down the DFT computation into smaller sub-problems, known as butterfly operations, and recursively applying them. The DIT-FFT algorithm has a complexity of O(N log N), where N is the length of the sequence.

To apply the DIT-FFT to the given sequence, we first need to ensure that the sequence is of length N = 3 or a power of 2. In this case, we have X(n) = 8(n) + 28(n-2) + 38(n-3). The sequence has a length of 3, so we can directly calculate its DFT without any further decomposition.

The DFT of X(n) can be expressed as X(k) = Σ[x(n) * exp(-j2πnk/N)], where k represents the frequency index ranging from 0 to N-1, n represents the time index, and N is the length of the sequence. By substituting the values of X(n) = 8(n) + 28(n-2) + 38(n-3) into the equation and performing the calculations, we can obtain the DFT values X(k) for the given sequence.

The DIT-FFT algorithm can be applied to find the DFT of the given sequence X(n) = 8(n) + 28(n-2) + 38(n-3). The DFT provides the frequency domain representation of the sequence, revealing the magnitude and phase information at different frequencies.

Learn more about domain here:

https://brainly.com/question/30133157

#SPJ11

The step of the five-step model of decision-making that includes studying the positives and negatives of a list of possible solutions to a problem is rate alternatives on the basis of decision criteria (option d).

In this step, after generating multiple alternatives (step a) and identifying and weighing decision criteria (step b), the focus shifts to evaluating each alternative. The decision criteria are used as a framework to assess the alternatives and determine their strengths and weaknesses. This involves studying the positives and negatives of each alternative in relation to the established criteria.

By examining the alternatives based on the decision criteria, decision-makers can gain a comprehensive understanding of the potential outcomes and consequences associated with each option. This analysis allows for an informed comparison of the alternatives, facilitating the selection of the most suitable solution.

Once the alternatives have been rated and evaluated in light of the decision criteria, decision-makers can proceed to the subsequent steps of the model, such as choosing, implementing, and evaluating the best alternative (step c). The correct option is d.

To know more about decision-making:

https://brainly.com/question/31651118

#SPJ4

The complete question is:

Which step of the five-step model of decision-making includes studying the positives and negatives of a list of possible solutions to a problem?

a. generate multiple alternatives

b. identify and weigh decision criteria

c. choose, implement, and evaluate the best alternative

d. rate alternatives on the basis of decision criteria

In the case of John, he typically receives account statements from bias bank on a monthly basis.

Therefore, the correct option is C. Monthly.

An account statement is a record of all transactions that have occurred in a customer's account over a given period. Bank accounts, credit card accounts, investment accounts, and other financial accounts all have account statements. The frequency with which customers receive these statements varies depending on the financial institution and the type of account.

An account statement is a useful tool for monitoring account activity and verifying transactions.

It provides information about transactions, such as the date, amount, and description of each transaction, as well as the account balance at the end of the period.

To know more about the word amount, visits :

https://brainly.com/question/32453941

#SPJ11

17:2

girls to boys

hope this helps u :)

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

To know  more about minimum visit:

brainly.com/question/21426575

#SPJ11

If both the radius and height of a cylinder are doubled, the new volume will be eight times the original volume. This is because volume is calculated by multiplying the area of the base (πr²) by the height (h). When the radius is doubled, the new base area is four times larger (2r)² = 4r².

When the height is doubled, the new height is also twice as large. So, the new volume can be calculated as follows:

New Volume = π(2r)² x 2h
New Volume = 4πr² x 2h
New Volume = 8πr²h

Therefore, the new volume will be eight times the original volume when both the radius and height of a cylinder are doubled.

To know more about Radius visit :

https://brainly.com/question/14618066

#SPJ11

Answer:

in every question you should subtract the given value by 180

Basic fact:

angles on a straight line always add up to 180 degrees

Step-by-step explanation:

Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

3.0

Step-by-step explanation:

bcbcbbcbc

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

To know more about satisfies visit-

brainly.com/question/16993710

#SPJ11

By definition of logarithm the value of \($3log _2(9n)\) exists

\($ 6(log _2(3) +3 log _2(n))\).

A logarithm exists as an amount that conveys power to a specified number contains to be raised to create the assigned number.

From the definition of a logarithm, we get

aˣ = b exists the same as x = logₐb

Given: \($3log _2(9n)\)

Simplifying \($log _2(9n) = 2log _2(3) + log _2(n)\)

\($= 3(2log _2(3) + log _2(n))\)

Expanding the equation, we get

\($3(2log _2(3) + log _2(n))\)

\($= 6(log _2(3) +3 log _2(n))\)

\($= 6(log _2(3) +3 log _2(n))\)

Therefore, the value of \($3log _2(9n)\) exists \($ 6(log _2(3) +3 log _2(n))\).

To learn more about logarithm refer to:

https://brainly.com/question/1807994

#SPJ9

Answer:

Step-by-step explanation:

Lets say each ride is r

2.00r + 5.00 = 19.00

The answer is B and D. I hope this helps, have a good day!

Answer:90

Step-by-step explanation:

Answer:

90 Students

Step-by-step explanation:

First do 45 divided by 100 to get 0.45

Secondly do 0.45 times 200 to get 90

Answer:

- 20x² + 26x + 8

Step-by-step explanation:

Given

4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4

= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms

= - 20x² + 26x + 8

Answer:

2x+3-1

Step-by-step explanation:

hope this helps :)

Answer:

Hypotenuse would be 14

Step-by-step explanation:

1.) The total number of ways in which the books can be arranged so that mathematics and physics cannot touch = 478,961,280.

2.) The total number of ways the books can be arranged when math and physics books touch = 479,001,600

Permutation is defined as the expression that shows how objects can be arranged in a definite order.

The total number of mathematics books = 5

The total number of astronomy books = 4

The total number of physics = 3

The total number of books that the student has in possession = 5+4+3 = 12.

The arrangement of the books so that math and physics cannot touch = 12!-8!

= 479001600 - 40320

= 478,961,280

The arrangement of the books so that math and physics can touch = 12! = 479,001,600

Learn more about permutation here:

https://brainly.com/question/27839247

#SPJ1

Answer:

( 7 , 8 )  

Step-by-step explanation:

Janet can simplify and solve the resulting equation to find the Value(s) of y.(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

To solve the equation y + y^2 - 5 / (y^2 - 1) = y^2 + y + 2 / (y + 1), Janet needs to get rid of the denominators in order to simplify the equation and solve for y. One way to do this is by multiplying both sides of the equation by the common denominator of all the fractions involved.

In this case, the common denominator is (y^2 - 1)(y + 1). So, Janet should multiply both sides of the equation by (y^2 - 1)(y + 1) to eliminate the denominators.

Multiplying both sides by (y^2 - 1)(y + 1) yields:

(y^2 - 1)(y + 1) * (y + y^2 - 5) / (y^2 - 1) = (y^2 - 1)(y + 1) * (y^2 + y + 2) / (y + 1)

By multiplying, we cancel out the denominators:

(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

Now, Janet can simplify and solve the resulting equation to find the value(s) of y.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

Answer two 20p coins make 40p

Step-by-step explanation:

Answer:

20 number of 20p makes £4.

Step-by-step explanation:

Let the number of 20p be x

Therefore,

                \(x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20\)

The least number of pages Yao must read per hour to finish reading the book is 26 pages per hour. which is the correct answer would be an option (B)

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Calculate the total number of hours Yao has left to finish reading the book by subtracting the number of hours he has already spent reading from the total number of hours he has available:

8 hours - 1 hour = 7 hours.

The number of pages Yao has left to read : 300 pages - 120 pages = 180 pages.

The number of pages Yao must read: 180 pages / 7 hours = 25.7 pages/hour.

Round up the number of pages Yao must read per hour to the nearest whole number. The least number of pages Yao must read per hour is 26 pages/hour.

Therefore, the minimum number of pages Yao must read each hour to finish the book is 26 pages per hour.

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ2