Solve
7) 6-4(6 n+7) ≥122

Answer:

240 mL

Step-by-step explanation:

60% of 400 is 240 mL! Your Welcome!

Answer:

the answer would be 240

Step-by-step explanation:

you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer

Answer:

Distributive property is one of them

Step-by-step explanation:

The number of gigabytes of data London can use while staying within her budget is 2.6 gigabyte.

Fixed cost is a cost that does not vary with the gigabyte used. It remains constant regardless of the amount of gigabyte used. The flat cost is an example of a fixed cost.

Variable cost is the cost that varies with the gigabyte used. Variable cost increases when gigabyte used increases. The $4 per month represents the variable cost.

Total cost is the sum of fixed cost / flat cost and the variable cost.

Total cost = flat cost + variable cost

Total cost = flat cost + (variable cost per unit x number of gigabyte used)

$54.40 = $44 + ($4 x g)

$54.40 = $44 + 4g

$54.40 - $44 = 4g

10.40 = 4g

g = 10.40 / 4

g = 2.6 gigabyte

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Answer:

yes, here is actual proof, I took a screenshot. But don't give me credit; give the other person credit, I probably would have gotten it wrong if it wasn't for them!

Step-by-step explanation:

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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One method of finishing the edge of a shirt sleeve is by using a hemming technique.

Hemming is a common and traditional method of finishing the edge of a shirt sleeve. It involves folding the raw edge of the fabric inward and stitching it down to create a neat and clean finish.

This can be done by hand or using a sewing machine depending on personal preference and skill level. Hemming not only gives the shirt sleeve a professional appearance but also helps prevent fraying and adds durability to the garment. It is a versatile and widely used technique in garment construction.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

Answer:

Keith solve the equation correctly

Step-by-step explanation:

x² + 17x + 72 = 12 ( subtract 12 from both sides )

x² + 17x + 60 = 0 ← in standard form

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 17)

The factors are + 12 and + 5 , since

12 × 5 = 60 and 12 + 5 = 17 , then

(x + 12)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x + 5 = 0 ⇒ x = - 5

The solutions of the equation are x = - 12, x = - 5

Answer:

71.75

Step-by-step explanation:

Base x height (hope this helped)

Answer:

3.9 pints

Step-by-step explanation:

Given:

Caroline uses 6.5 pints of blue paint and white paint to paint her bedroom walls.

2/5 of this amount is blue paint, and the rest is white paint.

To find :

How many pints of white paint did she use to paint her bedroom walls?

Solution:

Caroline uses pints of blue paint and white paint = 6.5                                                  

Amount of blue paint = 6.5 - 2.6 = 3.9 pints

Therefore, 3.9 pints of white paint she used to paint her bedroom walls.

Answer:

−  1049

Step-by-step explanation:

-13.62-(27.9)

primero haremos los paréntesis y después las demás multiplicaciones de izquierda a derecha.

-13.62-243

-806-243

Finalmente tenemos −  1049

Espero te ayude :)

Answer:

-41.52

Step-by-step explanation:

When you subtract from a negative, the answer will be smaller than the starting number:

Therefore, the answer is -41.52.

The values of a, b and c are given as follows:

\(a = 6\sqrt{3}\), b = 21, \(c = 6\sqrt{2}\)

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the length a, we have that it is opposite to an angle of 60º, while the adjacent length is of 6, hence:

\(\tan{60^\circ} = \frac{a}{6}\)

\(a = 6\sqrt{3}\)

Applying the 30-60-90 triangle theorem, the length b is given as follows:

b = 2 x 6

b = 12.

Length c is adjacent to an angle of 45º, while the hypotenuse is of 12 units, hence:

\(\cos{45^\circ} = \frac{c}{12}\)

\(c = 12 \times \frac{\sqrt{2}}{2}\)

\(c = 6\sqrt{2}\)

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Answer: I believe the answer is (A)  (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.

Answer:

ΔABC was reflected over both axes.

Step-by-step explanation:

ΔABC was reflected over both axes.

Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

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Answer:

PM is radius

NL is diameter

LM is chord

LJ is secant

NJ is tangent

N is point of tangency

P is center

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

uh

Step-by-step explanation:

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

The sum of 45 terms of the arithmetic progression whose sum of 18 th and 28 th terms is 36 is given by 810.

Let the first term of the arithmetic progression be A and the common difference for the same be D.

So 18th term of the progression is = A + (18 - 1) D = A + 17D

28th term of the progression is = A + (28 - 1) D = A + 27D

Given that the sum of the 18th and 18th terms of the progression is 36.

So, A + 17D + A + 27D = 36

2A + 44D = 26

So now the sum of 45 terms of the arithmetic progression is given by,

= 45/2 [2A + (45 - 1)D]

= 45/2 [2A + 44D]

= (45/2) * 36

= 45 * 18

= 810

Hence the sum of 45 terms of the arithmetic progression whose sum of 18 th and 28 th terms is 36 is given by 810.

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Answer:

Step-by-step explanation:

A

Answer:

Deborah is 27 years old and Syria is 31 years old.

Step-by-step explanation:

Let's say Deborah's age is x and Syria's age is y.

From the given information, we know that:

x + y = 58 (the sum of their ages is 58)

Also, the difference between their ages is 4, which means:

y - x = 4

We can use these two equations to find the values of x and y.

First, we'll solve for y:

y = x + 4

Substituting this value of y into the first equation:

x + (x + 4) = 58

Expanding the left-hand side:

2x + 4 = 58

Subtracting 4 from both sides:

2x = 54

Dividing both sides by 2:

x = 27

So Deborah is 27 years old and Syria is y = 27 + 4 = 31 years old.

Cramer's rule states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix, which in this case is 4, and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This allows us to solve for the variable y.

Cramer's Rule is a method used to solve systems of linear equations. It states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This gives us the solution for the variable y. To calculate the determinant of the coefficient matrix, we take the product of the diagonal elements and subtract the product of the elements that are not on the diagonal The determinant is calculated by taking the product of a and d, and then subtracting the product of b and c. Once we have the determinant of the coefficient matrix, we can calculate the determinants of each equation's corresponding matrix by replacing the y in the equation with 1 and the other coefficients with the original coefficients of the equation. We then divide each equation's determinant by the determinant of the coefficient matrix to solve for y. This method is useful as it allows us to solve a system of equations with multiple variables in a quick and efficient manner.

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3.5 to 2.167

2.80

Step-by-step explanation:

Answer:

\(A=A_0(0.971878)^t\)

Step-by-step explanation:

The half-life of Phosphorus-32 is approximately 24.3 days.

We have the equation:

\(\displaystyle A = A_0 (a)^t\)

And we would like to determine a.

First, since it is half-life, a=1/2.

Second, since the half-life for our element is 24.3 days, we need to substitute t for t/24.3. This yields:

\(\displaystyle A = A_0 (\frac{1}{2})^\frac{t}{24.3}\)

In this way, if t=24.3, then we would have one half-life.

We can rewrite our equation as:

\(\displaystyle A = A_0 (\frac{1}{2}^\frac{1}{24.3})^t\)

Approximate, rouding to six decimal places. So, our function is:

\(A=A_0(0.971878)^t\)

Therefore, our new a is:

\(a\approx0.971878\)

This will give the amount of Phosphorus-32 left after t days, giving the initial amount of A₀.