Rewrite the following polynomial in standard form.

Answer:

y=5(cos 28)

Step-by-step explanation:

since the angle theta is given as 28°

the hypotenuse is given as 5

y is the adjacent

cos theta=adjacent/hypotenuse

cos28=y/5

y=5×cos28

y=5(cos 28)

Answer:

13.5

Step-by-step explanation:

Simply, multiply 75x0.18 = 13.5

0.18 (being the percentage)

if the percentage tipped was 8% then you would multiply 75 by 0.08

Answer: 4,000

Step-by-step explanation:

Answer: I'm assuming that there were multiple choices provided for this question.. but just to help you, when a number is within the absolute value, it changes any number to a positive:

|-2.6| = 2.6

So any number higher than that work for this question :-)

Answer:

Step-by-step explanation:

Let the height is x, the the base is 4/7x.

Their sum is 110 cm:

The base is:

The area of the triangle is:

Area of the square:

Side of the square:

Perimeter of the square:

The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.

8x² + 16x + 3 = 0

8x² + 16x = -3

8(x² + 2x) = -3

8(x² + 2x + 1) = -3 + 8

8(x² + 1) = 5

(x² + 1) = 5/8

(x + 1) = ± √5/8

x = -1 ± √5/8

Therefore,

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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1. 12

2. 28

3. 44

This is because when you multiply 4. It also increases the number when you multiply 7.

Answer:

Multiply the first numbers by three and then keep multiplying :)

Step-by-step explanation:

Answer: -1 Is the answer.

Answer:

I think is higher

Step-by-step explanation:

Answer:

Step-by-step explanation:

x  = 52° + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )

x = 142°

Both of you are correct because using either way can solve the equation for the value of x.

In the case of solving for x in  2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.

Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :

Multiplying :

2/5 x = 14

5 / 2 x 2 / 5 x = 14 x 5 / 2

x = 35

Dividing :

2/5 x = 14

2 / 5 x / 2 / 5 = 14 / 2 / 5

x = 35

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1.14 kg  is the total weight of the rocks, in kilograms.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

2 such rocks weigh 20 ounces each.

i.e. weight of 2 rocks = 20*2

                                  =40 ounces

now,

a kilogram is 35.2 ounces

the total weight of the rocks, in kilograms = 40/35.2

                                                                       =1.14 kg.

Hence, 1.14 kg  is the total weight of the rocks, in kilograms.

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Answer:

x = 51

Step-by-step explanation:

These angles equal each other because they're vertical angles so:

2x + 8 = 110

2x = 110 - 8

2x = 102

x = 51

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Step-by-step explanation:

if that is truly the full problem description, then we have

10x - x + 5 = 41

=>

9x = 36

our simply

x = 4

so, I am not sure, what your teacher wants to see as result.

there is an infinite number of equations I could find, all with the solution x = 4.

Answer: B

Step-by-step explanation:

Process of elimination:

A: 1 or 2 is 2 favorable outcomes

2/6 or 1/3

one third of 300 is 100, not 50

B: 2, 4, and 6 are even numbers (3 favorable outcomes)

3/6 or 1/2

1/2 of 300 is 150

I say the answer is B. Sorry if I’m wrong.

Answer:

$6.80

Step-by-step explanation:

$8.16 ÷ 12 = $0.68

$0.68 x 10 = $6.80

The normal vector to the plane x + 3y + z = 5 is n = (1, 3, 1). The line we want is parallel to this normal vector.

Scale this normal vector by any real number t to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:

(1, 0, 6) + (1, 3, 1)t = (1 + t, 3t, 6 + t)

This is the vector equation; getting the parametric form is just a matter of delineating

x(t) = 1 + t

y(t) = 3t

z(t) = 6 + t

The vector equation for the line through the point (1,0,6) and perpendicular to the plane x+3y+z=5 is v =(1+t)i + (3t)j + (6+t)k

The parametric equations for the line through the point (1,0,6) and perpendicular to the plane x+3y+z=5

The parametric equation of a line through the point A(x, y, z) perpendicular to the plane ax+by+cz= d is expressed generally as:

A + vt where:

A = (x, y, z)

v = (a, b, c) (normal vector)

This can then be expressed as:

s = A + vt

s = (x, y, z) + (a, b, c)t

Given the point

(x, y, z) = (1,0,6)

(a, b, c) = (1, 3, 1)

Substitute the given coordinate into the equation above:

s = (1,0,6) + (1, 3, 1)t

s = (1+t) + (0+3t) + (6+t)

The parametric equations from the equation above are:

x(t) = 1+t

y(t) = 3t

z(t) = 6+t

The vector equation will be expressed as v = xi + yj + zk

v =(1+t)i + (3t)j + (6+t)k

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Answer:

your answers are C and D

Step-by-step explanation:

hope it helps have a nice day

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. The correct options are C and D.

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. There are several trigonometric identities relating to the side length and angle of a triangle.

Given a few trigonometric equations and it is needed to check which equation is an identity. Since Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. Therefore, the equations that are identities are,

C.)

sin²x + cos²x = 1

sin²x = 1 - cos²x

D.)

sec²x - tan²x = 1

sec²x - 1 = tan²x

tan²x = sec²x - 1

Hence, the correct options are C and D.

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Answer:

A the answer is a

Step-by-step explanation:

it's corn a beautiful thing for me it has the juice

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Question:

Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

A. 12^4 B. 12^18 C. 12^35 D. 12^216

Answer:

\(12^{18}\)

Step-by-step explanation:

Given

\(12^3 . 12^9 . 12^4 . 12^2\)

Required

Determine the equivalent

Applying law of indices, we have:

\(12^{3 + 9 + 4 + 2}\)

\(12^{18}\)

Hence:

\(12^3 . 12^9 . 12^4 . 12^2 = 12^{18\)

Answer:

(-3,2)

Step-by-step explanation:

Answer:

-3×0 - 2 × y = -4

-2 × y = -4

y = -4/-2

y = 2

In total, the number of greetings will be 1159.

Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.

The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.

The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.

The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.

In total, the number of greetings will be 38 + 760 + 361 = 1159.

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Answer:

936 cubic feet

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the volume of the prism next to the pyramid, we need to determine its height. Since the prism has the same base area as the pyramid, we can infer that its height is also the same as the height of the pyramid.

Given that the volume of the pyramid is 312 cubic feet, we can use the formula for the volume of a pyramid:

Volume = (1/3) * Base Area * Height

Let's assume the base area of both the pyramid and the prism is represented by "A" and the height is represented by "h".

For the pyramid:

Volume of pyramid = (1/3) * A * h_p

Given that the volume of the pyramid is 312 cubic feet:

312 = (1/3) * A * h_p

Simplifying the equation, we have:

936 = A * h_p

Now, since the prism has the same base area and height, we can use the same values for "A" and "h_p" to find the volume of the prism.

Volume of prism = A * h_p

Substituting the known values, we have:

Volume of prism = 936 cubic feet

Therefore, the volume of the prism next to the pyramid is 936 cubic feet. This is because the prism has the same base area and height as the pyramid, so their volumes will be equal.

Answer:

C. The probability of choosing a blue marble after a red marble has been removed is 0.6.

Step-by-step explanation:

P(B|A)

P(B|A) states the probability of event B happening, given that event A has happened.

In this question:

Event A: First marble is red.

Event B: Second marble is blue.

P(B|A) = 0.6

This means that the probability that the second marble is blue, considering that the first marble was red, is of 0.6, and thus, the correct answer is given by option C.

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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9514 1404 393

Answer:

Step-by-step explanation:

You can say lots of things about the y-values of these functions. A couple of observations are listed above. In addition, we can say the y-values of g(x) will be greater than those of f(x) for x-values not equal or between the x-values where the y-values are the same.

Answer:

• g(x) has the smallest possible y-value.

• The minimum y value of g(x) is -3.

Step-by-step explanation:

Ap3x