Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.

Answer:

y-int: -9, slope: 3/5

Step-by-step explanation:

Answer:

The constant term represents the initial velocity of the object

Explanation:

If we have an equation with the form:

y = a + bx

Where a is a constant term, we can identify a as the initial value of y or the value of y when x is equal to 0.

So, in this case, if the expression 15 + 5x represents the velocity of an object, we can say that the constant term 15 represents the initial velocity of the object or the velocity of the object at 0 seconds.

Answer:

you see

Step-by-step explanation:

Answer:

Among the given, the set of side measurements (5, 11, 8) could be used to form a triangle.

Step-by-step explanation:

As we know,

For forming a triangle, "The sum of the length of any two sides of a triangle is greater than the length of the third side."

The side opposite the largest angle of a triangle is the largest side. Any exterior angle of the triangle is equal to the sum of its interior opposite angles.

Now taking the value given in the option:

We have the first set of values: 12, 23, 7

As here, let us assume that, a = 12, b = 23, c = 7

So, for the formation of triangle a + b > c

So, 12 + 7 = 19 < 23

Hence, this set of values can't form a triangle.

We have the second set of values: 10, 7, 2

As here, let us assume that, a = 7, b = 2, c = 10

So, for the formation of triangle a + b > c

So, 7 + 2 = 9 < 10

Hence, this set of values can't form a triangle.

We have the third set of values: 8, 3, 11

As here, let us assume that, a = 8, b = 3, c = 11

So, for the formation of triangle a + b > c

So, 8 + 3 = 11 < 11

Hence, this set of values can't form a triangle.

We have the fourth set of values: 5, 11, 8

As here, let us assume that, a = 5, b = 8, c = 11

So, for the formation of triangle a + b > c

So, 5 + 8 = 13 > 11

Hence, this set of values can form a triangle.

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Answer:260000

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

Side length of each square is 1 unit.

So, sum of the lengths of all the border edges = 14 units

Thus, the Perimeter of the figure = 14 units

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Answer:

The answer should be 63.

Step-by-step explanation:

I'm not really sure because in order to find the area of the figure, you have to find the length of one of the sides and then multiply this by itself to find the area. I wouldn't be the first person to trust so for someone else to answer.

Answer:

\(base = \sqrt{ {9}^{2} - {8}^{2} } = \sqrt{17} \: in\\ area = area \: of \: triangle \: + \: area \: of \: trapezium \\ area = ( \frac{1}{2} \times base \times height) + ( \frac{1}{2} \times height(a + b)) \\ area =( \frac{1}{2} \times \sqrt{17} \times 8) + ( \frac{1}{2} \times 8 \times ((7 - \sqrt{17} ) + 7) \\area = 56 \: sq \: inches\)

Answer:

The value of x would be 104 degrees.

Answer:

75435912

Step-by-step explanation:

1495486+73940426

= 75435912

Answer:

75,435,912

Step-by-step explanation:

=> 1495486 + 73940426

Using Calculator

=> 75,435,912

The only equivalent expression is option (a) \(7^x\).

What is expression ?

An expression in mathematics is a group of symbols that represent a statistical correlation or quantity, such as integers, variables, and operators. It may contain exponents, logarithms, and trigonometric functions in addition to mathematical operations like addition, multiplication, multiplication, and division. It may also contain constants, variables, and functions. Expressions can be used in a variety of subjects, including mathematics, calculus, geometry, and statistics, to represent mathematical models, resolve equations, and carry out calculations.

To find equivalent expressions for\(21^x/3^x\), we can try to simplify the expression using exponent rules.

21 can be factored as 7*3, so we can write:

\(21^x/3^x = (7 × 3)^x/3^x = 7^x × 3^x/3^x = 7^x\)

Therefore, we can see that option (a) 7^x is equivalent to the given expression.

To check the other options:

b) \((7/3)^x\) = \((7^x)/(3^x)\) which is not equivalent to the given expression.

c) \(3^(2x+1)\) can be written as \(3^(2x)\) × \(3^1\) = \((3^2)^x\) × 3 = \(9^x\) × 3 which is not equivalent to the given expression.

d) \(7^(x-1)\) can be written as \(7^x/7\) which is not equivalent to the given expression.

e) \((3/7)^x\) is not equivalent to the given expression.

Therefore, the only equivalent expression is option (a) \(7^x\).

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The complete question is:

Which expressions are equivalent to \(21^x/3^x\)? Check all that apply.

a) \(7^x\)

b) \((7/3)^x\)

c) \(3^(2x+1)\)

d) \(7^(x-1)\)

e) \((3/7)^x\)

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

-2

Step-by-step explanation:

12-14=-2. -2+ 14=12

Answer:

-2

Step-by-step explanation:

12-14 is -2

I hopeeeee this answer helps u but u can really use a calculator bro

Answer:

12+12=24 1/2 a dozen=6, 12+12+6=30 pencils

Step-by-step explanation:

hope this helps lol have a good day

Using the Pythagorean theorem, the missing sides are:

1. 5

2. 13

3. √15

4. 3

The Pythagorean theorem is given as: c² = a² + b², where c is the longest side and a and b are the other two legs.

1. Missing side = √(3² + 4²) [Pythagorean theorem]

Missing side = 5

2. Missing side = √(12² + 5²) [Pythagorean theorem]

Missing side = 13

3. Missing side = √(4² - 1²) [Pythagorean theorem]

Missing side = √15

4. Missing side = √((√10)² - 1²) [Pythagorean theorem]

Missing side = √(10 - 1) = √9

Missing side = 3

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\( \frac{4}{3y} = 48 \\ \)

Inverse both sides

\( \frac{3y}{4} = \frac{1}{48} \\ \)

Multiply both sides by 4

\(4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\ \)

\(3y = \frac{4}{48} \\ \)

\(3y = \frac{4 \times 1}{4 \times 12} \\ \)

\(3y = \frac{1}{12} \\ \)

Divide both sides by 3

\(3y \div 3 = \frac{1}{12} \div 3 \\ \)

\(y = \frac{1}{12} \times \frac{1}{3} \\ \)

\(y = \frac{1}{36} \\ \)

_____________________________________________

\( \frac{4}{3} y = 48 \\ \)

Multiply both sides by the 3

\( 3 \times \frac{4}{3} y = 3 \times 48 \\ \)

\(4y = 3 \times 48\)

Divide both sides by 4

\(4y \div 4 = 3 \times 48 \div 4\)

\(y = \frac{48 \times 3}{4} \\ \)

\(y = \frac{4 \times 12 \times 3}{4 \times 1} \\ \)

\(y = 12 \times 3\)

\(y = 36\)

f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The coordinates of (1/2, y), and the trigonometric ratios of tangents, indicates;

y = [√3]/[7]

The trigonometric ratios expresses the relationships between the angles of a right triangle and two of the sides of the right triangle.

The x-value of the point in the diagram = (1/2)

The length of the radius of the unit circle, r = 1

Therefore; x/r = cos(θ)

Therefore; cos(θ) = (1/2)/1 = (1/2)

Therefore, θ = arccos(1/2) = 60°

The trigonometric ratio SOH CAH TOA, of tangents indicates;

tan(θ) = Opposite/Adjacent

Therefore;

tan(60°) = y/(1/2) = √3

y = (1/2) × √3

y = (√3)/2

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With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.

What is Matrix?

a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

Solution:

Recall the angular momentum algebra:

[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy

Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for

Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:

hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii

where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator

given above, we find:

hi | [Jx, Jz] | ji = −i~ hi | Jy | ji

where

hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)

                      = − hj | [Jx, Jz] | ii

       hi | Jy | ji = − hj | Jy | ii

Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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The equation that models the path of the football released from the given position is h(t) = -10 + 25.37t - 16.1t².

The initial velocity of the ball is determined by applying third kinematic equation as shown below;

Vf² = V₀² - 2gh

0 = V₀² - 2gh

V₀² = 2gh

V₀ = √(2gh)

V₀ = √(2 x 32.17 x 10)

V₀ = 25.37 ft/s

The equation of the ball's motion can be modelled as follows;

h = V₀t - ¹/₂gt²

10 = 25.37t - ¹/₂(32.17)t²

10 = 25.37t - 16.1t²

h(t) = -10 + 25.37t - 16.1t²

Thus, the equation that models the path of the football at any given position is h(t) = -10 + 25.37t - 16.1t².

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Answer:

AE = 12 in.

CE = 12 in.

Answer: Let's call the bill before the tip "x".

The tip was 20.7% of the bill, so the amount of the tip can be expressed as:

tip = 0.207 * x

The total bill, including the tip, was $31.09, so we can write an equation to represent this:

x + tip = 31.09

Substituting the expression for the tip into this equation, we get:

x + 0.207x = 31.09

Expanding and solving for x, we get:

1.207x = 31.09

x = 31.09 / 1.207

x = 25.76

So the bill before adding the tip was $25.76.

Step-by-step explanation:

Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, Where the base of these triangles are same

And also given that the two angles are the same.

Since,

Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Thus, the third angle is also equal

From AAS:

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,

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