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Answer:

the value of the expression is 22

Step-by-step explanation:

a2 + 12 + b

- input numbers..

(-2)2 + 12 + 14

-4 + 12 + 14

8 + 14

22

final answer 22

Answer:

18 (see picture for detailed explanation)

Step-by-step explanation:

Plato/Edmentum

The linear equations that relate the number of sales x for one week to the money earned are y=0.1x+200 and y=0.2x+150.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + By + C = 0. Here, A is a coefficient of x, B is a coefficient of y, x is a variable and C is a constant.

The number of sales is x and the amount of money earned is y.

The sale position pays $200/wk plus a 10% commission, so the equation representing this will be,

\(y=\frac{10}{100}x+200\\y=0.1x+200\\\).

The equation of other sales positions will be,

\(y=\frac{20}{100}x+150\\y=0.2x+150\)

Therefore, the linear equations that relate the number of sales x for one week to the money earned are y=0.1x+200 and y=0.2x+150.

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The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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Answer:

So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.

Let me know if you need more explaining, the picture might help.

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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\(\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)\)

Answer:

The correct Answer is 4:2:3

Step-by-step explanation:

ABC in the ratio 1 by 3 1/2 1/4 money is distributed ABC is equal to 2 by 3 egg be caused by a and c equal to 1 by 4 BC value a + b + c will be 7200

36 X + 1 by 4 X equal to 7203 B12 for dual is right down here now divide 12343 12 and 4 x is 144 Avenger 4 Hindi 2020 worldwide 6 then it will be 2 and 2 X 1 will be 2 + 12 and 72 value will be 9 x 12 equal to make a call to 7212 989 and

n7200 will be divided by 3 and answer will be 2424 4 will be 9696 amount of a 1 by X equal to 1 by 3 X 9600 equal to 3200 amount of the one my c equal to 1 by 6 multiply 9600 be 1602 14 x 9600 will be 2400

solution of this question

A polynomial is an algebraic expression of ordered addition, subtraction, and multiplication of variables, constants, and exponents. A polynomial can have more than one variable (x, y, z), constants (integers or fractions), and exponents (which can only be positive integers).

Then, let us see examples of what a polynomial is and is not:

• They are not polynomials

Because the variable cannot be in the denominator

Because the exponent is -2 and the exponents can only be 0,1,2, ..., etc.

Because the exponent cannot be a fraction

• They are polynomials

According to the above, the given expression is a polynomial because it is a sum of a variable with integer and positive exponents. Also, the variable is not in the denominator of any fraction.

• Now, according to the ,number of terms, in a polynomial, there are ,3 types of polynomials,. They are ,monomial, binomial and trinomial,. For example:

In this case, the given expression has two terms, and then it is a binomial.

Finally, the degree of a polynomial is the highest exponent value of any of its terms.

Therefore, the degree of the given polynomial is 4.

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

Answer:

I think. its below

Step-by-step explanation:

1 x 8 = 8

4 x 8 = 32

If Ann broke up a large array into two smaller arrays. The two smaller arrays show 1 X 8 and 4 X 8 then 40 is Anna started array.

Multiplication is a method of finding the product of two or more numbers

Given,

Ann broke up a large array into two smaller arrays.

Th first smaller array show  1 X 8

The second smaller array show  4 X 8.

First smaller array show  1 X 8

=8

Second smaller array show  4 X 8.

32

Now let us add both the arrays

32+8=40

Hence, 40 is the  large array that Ann started.

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The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.The correct answer is c.

The interest rate of a loan is one of the most important factors to consider when shopping around for loans because it directly affects the cost of borrowing money. The interest rate determines the percentage of the loan amount that the borrower will have to pay back to the lender as interest over the loan's term.

A higher interest rate means that borrowers will have to pay more in interest over the life of the loan, increasing the total cost of borrowing. Conversely, a lower interest rate will result in lower interest payments and a reduced overall cost of the loan.

For example, in the case of a mortgage, which is a long-term loan, even a small difference in the interest rate can have a significant impact on the total amount paid to the lender. Over the course of a 30-year mortgage, a higher interest rate could result in thousands of dollars in additional interest payments.

Therefore, it is important to compare and consider different loan offers to find the best interest rate available. This can help borrowers save money and make more informed decisions about their borrowing options. The correct answer is c.

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Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

70.2%

Step-by-step explanation:

Given data

Initial weight =172 pounds

Final weight = 185 pounds

% increase= Final - Initial / final  *100

% increase=185 - 172 / 185 *100

% increase= 13 / 185 *100

% increase=0.0702*100

% increase=70.2%

Hence the increase is 70.2%

Step-by-step explanation:

30×5/18

25/3

=8.33 m/s

!!!!!!!!!

Answer:

I think the answer is 8.33 (rounded to 2 decimal points)

Answer:

\(\angle AE = 32^{\circ}\)

\(\angle EAD = 212^{\circ}\)

\(\angle BE = 133^{\circ}\)

\(\angle BCE = 227^{\circ}\)

\(\angle AED = 180^{\circ}\)

\(\angle BD = 79^{\circ}\)

Step-by-step explanation:

The central angle of a circle is equal to 360º, whose formula in this case is:

\(\angle AB + \angle BC + \angle CD + \angle DE + \angle EA = 360^{\circ}\)

In addition, the following conditions are known from figure:

\(\angle BC = 47^{\circ}\), \(\angle DE = 148^{\circ}\)

\(\angle DE + \angle EA = 180^{\circ}\)

\(\angle CD + \angle DE = 180^{\circ}\)

\(\angle AB + \angle BC + \angle CD = 180^{\circ}\)

Now, the system of equations is now solved:

\(\angle EA = 180^{\circ}-\angle DE\)

\(\angle EA = 180^{\circ}-148^{\circ}\)

\(\angle EA = 32^{\circ}\)

\(\angle CD = 180^{\circ}-\angle DE\)

\(\angle CD = 180^{\circ}-148^{\circ}\)

\(\angle CD = 32^{\circ}\)

\(\angle AB = 180^{\circ} - \angle BC - \angle CD\)

\(\angle AB = 180^{\circ}-47^{\circ}-32^{\circ}\)

\(\angle AB = 101^{\circ}\)

The answers are described herein:

\(\angle AE = 32^{\circ}\)

\(\angle EAD = 212^{\circ}\)

\(\angle BE = 133^{\circ}\)

\(\angle BCE = 227^{\circ}\)

\(\angle AED = 180^{\circ}\)

\(\angle BD = 79^{\circ}\)

Answer:

is a measure of the average absolute distance between each data value and the mean of a data set.

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Answer:

Step-by-step explanation:

x-6y=4

To solve these equations, we can use the elimination method. We want to eliminate one of the variables, either x or y, by multiplying one of the equations by a constant so that the coefficients of one variable will be the same in both equations but with opposite signs. For example, we can multiply the first equation by 4 to get:

-20x - 24y = -128

Then we can add this equation to the second equation to eliminate y:

-20x - 24y + 4x - 6y = -128 + 4

Simplifying this equation gives:

-16x - 30y = -124

Now we can isolate one variable in terms of the other:

-16x - 30y = -124

-16x = 30y - 124

x = (30/(-16))y + (-124/(-16))

x = (-15/8)y + 31/2

We can substitute this expression for x into either of the original equations to solve for y. For example, substituting into the first equation gives:

-5((-15/8)y + 31/2) - 6y = -32

Multiplying by -8 to clear the fractions gives:

75y - 248 - 48y = 256

Simplifying and solving for y gives:

27y = 504

y = 18.67

Then we can substitute this value of y back into our expression for x to find:

x = (-15/8)(18.67) + 31/2

x = -12.25

Therefore, the solution to the system of equations is:

x = -12.25

y = 18.67

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer:

9m  +3

Step-by-step explanation:

6m-4+3m+7

Combine like terms

6m+3m    -4+7

9m  +3

Answer:

−3⋅(5m+7)

Step-by-step explanation:

Answer:

i think true

Step-by-step explanation:

Answer:

-2 - 24i

Step-by-step explanation:

a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

a + bi + 7 + 5  - 3i + 9i + 13i = 10 - 5i

                a + bi  + 12  + 19i = 10 - 5i

                         a + bi          = 10 - 5i - 12 - 9i

                                 a + bi = 10 - 12 - 5i - 9i

                                 a + bi = -2 - 24i

Answer:

0.44, or 8/18

Step-by-step explanation:

The probability of it being blue is 8/18 or 0.444... (0.44)

Step-by-step explanation:

2x + 3z = 17

3x + 4z = 24

FYI - this is not a situation, where I would choose the elimination method ("equation arithmetic") to solve the system of equations, because none of the terms is the same or numerically "compatible", so that I need to multiply only one equation with an integer before adding or subtracting the equations.

basically it is very similar to fraction arithmetic. but instead of bringing 2 fractions to the same denominator, we need to bring one of the terms to the same factor.

so, let's bring both equations to 6x terms (6 being the smallest common multiple of 2 and 3) and then subtract the second from the first equation :

6x + 9z = 51

- 6x + 8z = 48

----------------------

0 + z = 3

=> e.g. via the first original equation :

2x + 3×3 = 17

2x + 9 = 17

2x = 8

x = 4

Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

As shown in the figure :

The angle x is the exterior angle for the triangle BCD

So, the measure of the angle x = m ∠CBD + m ∠C

Given : m∠ CBD = 62 and m∠ C = 72

So,

So, the answer is option B. 134

9514 1404 393

Answer:

  a) v = 3i -6j

  b) v ≈ 6.708∠-63.43°

  c) w = -32.627i +15.214j

  d) v+w = -29.627i +9.214j = 31.027∠162.72°

Step-by-step explanation:

Most graphing calculators and many scientific calculators can do arithmetic with vectors, often in the form of complex numbers or arrays. Of course, the usual conversions can be used:

  (r; α) ⇒ (r·cos(α), r·sin(α))

  (x, y) ⇒ (√(x²+y²); atan2(x, y))

where atan2(x, y) is arctan(y/x) quadrant-adjusted for the signs of x and y

__

a) v = 3i -6j

b) v ≈ 6.708∠-63.43°

c) w = -32.627i +15.214j

d) v+w = -29.627i +9.214j = 31.027∠162.72°

__

The first attachment shows the vectors and their sum in component form as complex numbers. For your purpose, the translation is ...

  a +bi ⇒ ai +bj

The second attachment shows the vectors and their sum in polar form (magnitude and direction). I like the A∠B format. You may translate it to whatever form you need, for example, (A; B), A·cis(B), A(cos(B)i +sin(B)j), Ae^(iB), or any other. (The "semicolon format" is used by at least one app to distinguish between rectangular coordinates (a, b) and polar coordinates (A; B).) The angles here are in degrees (not radians), matching the form in the problem statement.