28 (y - 1/7) = 28y - ?Rewrite, using the distributive property

Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:

y=in ×-3

it's the answer

Answer:

0.84 miles

Step-by-step explanation:

80% is the same as 0.8, so 0.8*4.2=3.36. This means he has completed 3.36 miles. So, to find how much he has left, subtract. 4.2-3.36=0.84. Therefore, he has 0.84 miles left in his hike.

Answer: 0.84 miles

Step-by-step explanation:

80% is the same as 0.8, so 0.8*4.2=3.36. This means he has completed 3.36 miles. So, to find how much he has left, subtract. 4.2-3.36=0.84. Therefore, he has 0.84 miles left in his hike.

On solving the provided question, we got to know that - the  cost of common equity is 11.84

Equity in mathematics education is defined by the National Council of Teachers of Mathematics as high standards and rewarding opportunities for everyone, addressing disparities to assist all kids learn mathematics, and making sure that all classrooms have resources and support for students.

here, the above question we have  -

D0 = $0.85;

P0 = $22.80;

g = 7.00%

  = 700

Answer is  -  The  cost of common equity is 11.84

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Answer:

6/12 snow

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Calculate the unit price of $ per ounce of the 4 options to find the smallest

$2 / 4 = .50 per ounce

4.25 /8 = .53

6/12 = .50

6.75/18 = .375 per ounce   <=====cheapest

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

Step-by-step explanation:

slope intercept: y = mx + b

where m is the slope and b is the y-intercept

Equation: y = -3x + 4

Since y-intercept is given, then we have the first point of the line as (0,4)

Let's find the value of x when y is 0

y = -3x + 4

0 = -3x + 4

3x = 4

x = 4/3

(4/3,0) ---second point

Since there are two points/coordinates already then we can now plot/graph.

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

7/22

Step-by-step explanation:

From the question given above, the following data were:

Drama n(D) = 25

Sport n(S) = 140

Both drama and sport n(DnS) = 60

Not in drama or sport n(DnS)ᶜ = 105

Total or sample space n(S) = 330

Probability of not in drama or sport P(DnS)ᶜ =?

The probability that the student chosen is not in drama or sport can be obtained as follow:

P(DnS)ᶜ = n(DnS)ᶜ / nS

P(DnS)ᶜ = 105 / 330

Express the above to its lowest terms

P(DnS)ᶜ = 7/22

Therefore, the probability that the student chosen is not in drama or sport is 7/22

Answer:

32/5

Hope you have a good day, Loves!~ <3

Answer: 6u2/5 or 6 2/5

Step-by-step explanation:

The solution is

a) The number is 6

b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

a)

Let the equation be represented as A

Now , the value of A is

Let the number be = n

A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18

Substituting the values in the equation , we get

2/5 ( n + 24 ) = 5n - 18

On simplifying the equation , we get

Multiply by 5 on both sides of the equation , we get

2 ( n + 24 ) = 25n - 90

2n + 48 = 25n - 90

Subtracting 2n on both sides of the equation , we get

23n - 90 = 48

Adding 90 on both sides of the equation , we get

23n = 138

Divide by 23 on both sides of the equation , we get

n = 6

Therefore , the number is 6

b)

The equation of parabola is given as

y = x² + 4x + 96

Now , the equation can be simplified as

y = (x + 2)² + 92

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Substituting the values in the equation , we get

The vertex of the parabola is P ( -2 , 92 )

The y intercept of the parabola is ( 0 , 96 )

The axis of symmetry of parabola is x = -2

Hence , the equation of parabola is y = (x + 2)² + 92

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The second decile of the given data set, "24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51"  is 24.

To find the second decile of a data set, we first need to arrange the data in order from lowest to highest, that is :

⇒ 14, 24, 24, 25, 26, 28, 34, 40, 45, 51, 58, 64

The second decile represents the value that divides the data into two parts, where 20% of the data is below the value and 80% of the data is above the value.

Since there are 12 data points in this set,

So, 20% of the data is equal to 0.2 × 12 = 2.4.

Since we cannot have a fractional data point, we round up to 3.

So, the second decile is the third value in the ordered data set.

which is 24.

Therefore, The second decile is 24.

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Let f be a scalar field and F a vector field.

a) False-  can not take the curl of a scalar field.

b)True- it is a  vector fields.

c)True- it is a  scalar fields.

d)True- it is a vector fields.

e)False-  can not take grad of a vector field.

f)True- vector fields.

g)True- - scalar fields.

h)False-  can not take div of a scalar field.

i)True- - scalar fields.

j)False-  can not take div of a scalar field.

k)False-  can not cross product a vector with a scalar.

l)True- vector fields.

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Answer:

always

Step-by-step explanation:

Step-by-step explanation:

We can simplify the given expression using the rules of absolute values:

l-80-20l – 100 + l-100l

= -(20l + 80) - 100 + 100 (since |x| = -x when x is negative)

= -20l - 80

= -20(l + 4)

Therefore, the simplified expression is -20(l + 4).

Answer:

100

Step-by-step explanation:

\( | - 80 - 20| - 100 + | - 100| \\ = | - 100| - 100 + | - 100| \\ = 100 - 100 + | - 100| \\ = | - 100| \\ = \boxed{100}\)

____________

hope it helps!

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer: x^2 -x-6

Step-by-step explanation:

Mat

The product of  (x + 2)(x - 3) is x² - x - 6

"It is a mathematical statement which consists of constants, variables and mathematical operations."

For given question,

We have been given an algebraic expression (x + 2)(x - 3)

We need to find the product of (x + 2)(x - 3).

(x + 2)(x - 3)

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

= x² - 3x + 2x - 6

= x² - x - 6

Therefore, the product of  (x + 2)(x - 3) is x² - x - 6

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The factors of the original expression, u and v to produce a sum of simpler terms, the derivative of y with respect to x is: y' = -2x⁴ - x² - 10x + 15

Given the expression y = (3 - x²) (x³ - 5x + 5),

We need to find the derivative of y with respect to x.

We can find y' using two methods:

Method 1: Applying the Product RuleIf y = uv, then we know that y' = u'v + uv'Applying this formula to the given expression, We get:

y = (3 - x²) (x³ - 5x + 5)u = (3 - x²) and v = (x³ - 5x + 5)

Differentiating u and v, we get:u' = -2x and v' = 3x² - 5

Substituting these values into the formula for y', we get:

y' = u'v + uv' = (-2x) (x³ - 5x + 5) + (3 - x²) (3x² - 5)

Simplifying this expression, we get:

y' = -2x⁴ + 10x² - 10x - 3x² + 15 = -2x⁴ - x² - 10x + 15

Method 2: Multiplying the Factors to Produce a Sum of Simpler Terms to Differentiate

Expanding the given expression, we get:

y = 3x³ - 15x + 15 - x⁵ + 5x³ - 5x - 3x² + 15x² - 15x

Differentiating this expression, we get: y' = 9x² - 15 + 0 - 5x⁴ + 15x² - 5 - 6x + 30x - 15

Simplifying this expression, we get:

y' = -2x⁴ - x² - 10x + 15

Therefore, the derivative of y with respect to x is:y' = -2x⁴ - x² - 10x + 15

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The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer:

1. 195

2. 1875

3. 23460

4. 4690

5. 574

6. 1810

7. 82278

8. 41448

(Can you please give me brainliest?)

Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000

Answer:192.53

Step-by-step explanation:

       You just Add:

$82.53+$110.00=192.53

Your answer is: 192.53

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

Answer:

A=$79

Step-by-step explanation:

47+B=A=47+32=79

Answer: x=1.686377,−1.686377

Step-by-step explanation:

9x6=207

Step 1: Divide both sides by 9.

9x6/9=207/9

x6=23

Step 2: Take root.

x=±(23)(16)

x=1.686377,−1.686377

Answer:

option B or 40%

Step-by-step explanation:

Well if 14/35 of the class is male. You divide 14 by 35. And after using calculator I see the answer is 40% of the class is male.

Thank