A recipe calls for 1 cup of milk for every 4 cups of flour. Write the linear equation that describes this relationship.

Answer:

Step-by-step explanation:

m= 3/1

Answer: 3

Step-by-step explanation: This equation is written in y = mx + b form.

In this form, the m is the slope and the b is the y-intercept.

Take a look below.

So the slope of this line is 3.

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

As the side length increases by 1, the area does not increase or decrease by an equal amount.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

As shown in the graph, the area values are not constantly increasing or decreasing, at 2 values of side length, area is same, at the side length= 9 inches, there is no area at all..

So,  

As the side length increases by 1, the area does not increase or decrease by an equal amount.

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Answer:

1, 2, 5, and 10

Step-by-step explanation:

Factors for 20 are:

1, 2, 4, 5, 10, 20

Factors for 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The answer is 50 grams of salt in the tank at all times.

To find the number of grams of salt in the tank at time t, we need to use the formula:

a(t) = a(0) + (r - p) * t

where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.

In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:

a(t) = 50 + 0 * t
a(t) = 50 grams

This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.

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Answer:

Step-by-step explanation:

??

Answer:

the way your question is worded she did not lose any weight. she actually gained 44.21 lbs.

(if you meant 177.67 last month and 133.46 this month, then she would have lost 44.21 lbs.)

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

Answer: x = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.

Answer:

* 5 oy

*25 puan

* takip

Step-by-step explanation:

Cevap( A)

Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

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After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).

Step-by-step explanation:

Factoring and multiplying polynomials are basically inverse operations. Factoring is the process of breaking down a polynomial expression into its constituent factors, while multiplying polynomials involves combining two or more polynomial expressions into one polynomial.

Let's take two polynomials, (x + 2) and (x - 3), and multiply them together:

(x + 2) * (x - 3)

To do this we can use the distributive property. Applying this property to our example, we get:

(x + 2) * (x - 3) = x * (x - 3) + 2 * (x - 3)

Now, we just simplify each term:

x * (x - 3) = x^2 - 3x

2 * (x - 3) = 2x - 6

Combining these simplified terms, we get:

(x + 2) * (x - 3) = x^2 - 3x + 2x - 6

(x + 2) * (x - 3) = x^2 - x - 6

Now, if we reverse the process and try to factor the polynomial x^2 - x - 6, we want to express it as a product of two or more simpler polynomials.

In this case, we can factor it as:

x^2 - x - 6 = (x - 3) * (x + 2)

Here we can see that factoring and multiplying polynomials are related operations. Factoring breaks down a polynomial into simpler factors, while multiplying polynomials combines factors to form a more complex polynomial. Hope this helped a bit :)

For a $985,000 house with a 30-year mortgage and a 4% interest rate, the monthly mortgage payment would be approximately $4,688.77.



To calculate the monthly mortgage payment for a 30-year mortgage with an interest rate of 4% and a house cost of $985,000, we need to use the formula for the monthly payment on a fixed-rate mortgage. The formula is as follows:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal amount (cost of the house)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of monthly payments (number of years multiplied by 12)

Let's calculate it:

Principal amount (P) = $985,000

Annual interest rate = 4%

Monthly interest rate (r) = 4% / 100 / 12 = 0.00333

Number of years (n) = 30

Total number of monthly payments = n * 12 = 30 * 12 = 360

Plugging in these values into the formula:

M = 985,000 * (0.00333 * (1 + 0.00333)^360) / ((1 + 0.00333)^360 - 1)

Using a calculator, we find that the monthly mortgage payment (M) is approximately $4,688.77.

Therefore, the monthly mortgage payment for a 30-year mortgage with an interest rate of 4% on a house costing $985,000 would be approximately $4,688.77.

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a. The three by three matrix E13 will add row 3 to row 1 is \(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

b. The matrix adds row 1 to row 3 and at the same time row 3 to row 1 is \(\left[\begin{array}{ccc}2&0&0\\0&2&0\\0&0&2\end{array}\right]\)

c. The matrix adds row 1 to row 3 and then adds row 3 to row 1 \(\left[\begin{array}{ccc}0&0&2\\0&2&0\\2&0&0\end{array}\right]\)

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. In linear algebra, matrices are used to represent and manipulate systems of linear equations.

A. In order to find a 3x3 matrix that adds row 3 to row 1, we can create an identity matrix and replace one of its rows with the sum of row 1 and row 3. An identity matrix is a square matrix with 1's along its main diagonal and 0's everywhere else.

Let I be a 3x3 identity matrix:

\(= > \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, let's replace row 1 of the identity matrix with the sum of row 1 and row 3:

\(= > \left[\begin{array}{ccc}1&0&0\\0&1&0\\1&1&1\end{array}\right]\)

B. To find a matrix that adds row 1 to row 3 and row 3 to row 1 simultaneously, we can use the matrix E13 found in part A and multiply it with itself:

\(= > \left[\begin{array}{ccc}2&0&0\\0&2&0\\0&0&2\end{array}\right]\)

C. To find a matrix that adds row 1 to row 3 and then adds row 3 to row 1, we can use the matrices E13 and E31, where E31 is a 3x3 matrix that adds row 1 to row 3:

\(= > \left[\begin{array}{ccc}0&0&1\\0&1&0\\1&0&0\end{array}\right]\)

Now, let's multiply E13 with E31:

\(= > \left[\begin{array}{ccc}0&0&2\\0&2&0\\2&0&0\end{array}\right]\)

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The best  that describes the geometric figure is a line segment.

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.

If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.

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Answer:

Given :

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.

The fifth partial sum represents the sum of the first 5 terms in the sequence.

What is the partial sum of sequence?

The partial sum of a sequence gives the sum of the first n terms in the sequence.

Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.

The given geometric sequence :

$400, $420, $441, $463, and $486.

The fifth partial sum of the above sequence will be :

$400+ $420+ $441+$463+$486=$2210

Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.

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The rate of decomposition as per half life is 0.0000545 M.

what is half life?

Drug concentration decreases from 0.002M to 0.001M in 24 hours.

Again, Drug concentration decreases from 0.001M to 0.0005 M in subsequent 24 hours.

Therefore, t(1/2) = 24 hours

K= 0.693/t(1/2) = 0.693/24 = 0.028775 per hour.

K= 2.303/t Log (No/Nt)

Log(No/Nt) =Kt/2.303 =0.05015

No/Nt= Antilog (0.05015) = 1.1224

Nt= No/1.1224 = (0.0017818 M

Rate of decomposition as per half life is calculated as

(No-Nt)/t = 0.0000545 M

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The equation for the red graph is , y = f(x +4) , Option D is the right answer.

A function is a mathematical statement that relates an independent variable and a dependent variable .

It is given that y = f(x)

It can be seen from the graph that the vertex is moved 4 units to the right ,

Which means the equation for the red graph is

y = f(x +4)

Therefore , Option D is the right answer.

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Answer:

The slope of the perpendicular line is \(-\frac{6}{5}\)

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ The equation of the given line is 10x - 12y = -24

→ We need to form this equation as the form above to find m

→ Subtract 10x from both sides

∵ 10x - 10x - 12y = -24 - 10x

∴ - 12y = -24 - 10x

→ Divide both sides by -12

∴ \(\frac{-12y}{-12}=\frac{-24}{-12}-\frac{10}{-12} x\)

∴ y = 2 - (\(\frac{-5}{6}\)) x

→ Remember that (-)(-) = (+)

∴ y = 2 + \(\frac{5}{6}\) x

∵ y = m x + b

∴ m =  \(\frac{5}{6}\)

∴ The slope of the given line is  \(\frac{5}{6}\)

→ To find the slope of the perpendicular line reciprocal it and change

  its sign

∵ The reciprocal of  \(\frac{5}{6}\)  is  \(\frac{6}{5}\)

→ Change its sign from + to -

∴ The slope of the perpendicular line is   \(-\frac{6}{5}\)

The slope of the line perpendicular to the line whose equation is

10x - 12y = -24 is - 6 / 5

The slope intercept form is represented as follows;

y = mx + b

where

m = slope

b = y-intercept

Therefore,

10x  - 12y = -24

10x + 24 = 12y

12y = 10x + 24

divide through by 12

12y / 12 = 10 / 12 x + 24 / 12

y = 5 / 6 x + 2

The slope of this equation is 5/6.

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 5/6 = -1

m₁ = - 6 / 5

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Answer:

60%

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

2^(n+1) is the explicit form

Answer:

Step-by-step explanation:

The tripping force is applied at a height of 24 inches.

To solve this problem, we can use the principle of moments, which states that the sum of the moments of the forces acting on an object must be zero for the object to be in equilibrium.

In this case, the weight of the block exerts a force downward, and the tripping force exerts a force upward. Let's call the height at which the tripping force is applied "h".

The moment of the weight about the base of the block is:

25 pounds x (1/2) x 12 inches = 150 inch-pounds

The moment of the tripping force about the base of the block is:

12.5 pounds x (h - 12 inches)

Since the block is in equilibrium, these two moments must be equal. So we can set them equal to each other and solve for h:

150 inch-pounds = 12.5 pounds x (h - 12 inches)

12 inches = h - 12 inches

h = 24 inches

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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