PLEASE HELP ASAP!!!!!!!!!!!!! WITH STEPS PLEASEEEEEE!!!!!!!!!!!!!
Given f(x) = x2 + 4x − 1, describe the new function g(x) = f(x + 4)

Sarah has hopped for 160ft when Will finished the race.

What is basic arithmetic?

Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.

For Will

5 × 40

= 200 feet

For Sarah

4 × 40

= 160 ft

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Answer:

option a is the right answer .

Step-by-step explanation:

Cos theta = B/h = 8/21

theta = 67.6 °

Step-by-step explanation:

imagine the triangle being flipped upwards around DE, so that F is on top instead of on the bottom.

then you see clearly that

DF (21) is the radius of the trigonometric circle,

DE is cos(angle D)×radius,

EF (8) is sin(angle D)×radius.

so,

8 = sin(angle D)×21

sin(angle D) = 8/21 = 0.380952381...

angle D = 22.39268781...° ≈ 22.4°

and so, something is wrong with your problem definition.

the answer options seem to aim for angle F, for which EF (8) is the cosine × radius.

but for angle D EF is clearly the sine × radius.

and for answer option b (20.9°) EF would have to be about 7.5 units long (with the radius DF still being 21). that is all too much off.

your teacher made a mistake. send him/ her my regards.

Answer:

14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

To compare numbers this way, we divide.

(1.76 × 10^1) / (8 × 10^-1) =

= 1.76/8 × 10^1 / 10^-1

= 0.22 × 10^(1 - (-1))

= 0.22 × 10^2

= 22

If the remaining balance for 48 months with an APR of 4.5%. the monthly payment that Jenna pays is: $595.17.

Using this formula to determine the monthly payment

P = A ×r × ( 1 +r)^n  ÷( 1+ r)^n -1

Where:

P = Principal = ?

A = Amount = $29,000 × ( 1- .10) = 26,100

r = Interest rate = 4.5% / 12 = 0.00375

n = number of months = 48 months

Let plug in the formula

P = 26,100 × 0.00375 × ( 1+ 0.00375)^ 48 ÷ ( 1+ 0.00375)^ 48 -1

P = 26,100 × 0.00375 × ( 1.00375)^ 48 ÷ ( 1.00375)^ 48 -1

P = 26,100 × 0.00375 × 1.196814377  ÷  1.196814377 -1

P = 26,100 × 0.00375 × 1.196814377  ÷  0.196814377

P = $117.1382456  ÷  0.196814377

P = $595.17

Therefore $595.17 is the monthly payment.

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Answer:

Given equation is, x+3y=6

To determine whether each order pair is a solution of the equation

(3,1)

we have that, when x=3 we get y=1

Let us check this in the equation.

Put x=3, we get

Hence (3,1) is the solution of the equation.

(6,0)

Put x=6, we get,

Hence (6,0) is the solution of the equation.

(-2,2/3)

Put x=-2, we get,

Hence (-2,2/3) is not the solution of the equation.

ANSWER:

STEP-BY-STEP EXPLANATION:

In this case, we can make a proportion, since we know the time when there are 5 people, we need to know the time when there are two people

solving for x:

Answer:

The three correct corresponding pairs that gives the same area are;

The areas are the same in each case because the product of each pair is the same.

Explanation:

Given the base and height pairs in the question.

Let us use the corresponding pairs that gives the same area.

Firstly, for the first pair;

Secondly, the second pair is;

Thirdly, the third pair;

Therefore, the three correct corresponding pairs that gives the same area are;

The areas are the same in each case because the product of each pair is the same.

The total money spent on fruits is $7.03

While at  the fruit stand, Ramon bought the following fruits,

3 pounds of apples that cost $0.89 per pound

4 cantaloupes that each cost $1.09

So, the total amount he spent on the materials he bought without including taxes is,

Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )

                                = 2.67 + 4.36

                                = 7.03

The total money spent on fruits is $7.03

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Answer:

1) multiply and divide by 2 on right hand side

2) multiply by 24 on both sides ( LHS and RHS)

3) divide by -1 on both sides so that negative sign on RHS will be cancelled

Deterministic.

The relationship between the variables is deterministic. A deterministic relationship refers to a relationship in which the dependent variable does not depend on other elements (variables) other than the independent element classified in the relationship. The independent variable (element) in the relationship possesses an exact value. Hence deterministic relationship is also named as the exact relationship between variables.

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By solving matrices  we get,

[tex]A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.

Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.

Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.  

When solving by using the matrices solving method we get

[tex]A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\[/tex]

[tex]C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right][/tex]

[tex]A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

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The two triangles are not similar to each other.

The perimeter of the triangle is the sum of the lengths of all its sides.

The angle of triangle = 62

The two equal angles = [4(x +2)] and (5x - 7)

According to the question,

The Perimeter of triangle are;

[4(x +2)] + (5x - 7) + 62 = 180

4x + 8 + 5x - 7 + 62 = 180

9x + 63 = 180

9x = 117

x = 13

The other triangle is

6x + 62 + 6x + 6 = 180

12x + 68 = 180

12x = 112

x = 9.33

Hence, the two triangles are not similar to each other.

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Answer: Plugging in -1 for n.

Step-by-step explanation:

Equation:

(n+1) / n

Given the equation above what can we plug in for n to make the equation less than or equal to 1?

(-1 + 1) / -1 = 0/-1 = 0

Inputting negative one will cause the statement to be false.

Answer:

11n

Step-by-step explanation:

If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.

The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.

For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Mathematically, the above statement is expressed as follows:

W = (F cos θ) d = F. d

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We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:

Since the vertical line touches the graph in two axes this means that the given graph is not a function.

The total cost for 8 hours of work is $425.

The total cost for 10 hours of work is $525.

The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.

Cost = fixed charge + variable charge

C = $25 + $50h

The total cost for 8 hours

$25 + $50(8)

$25 + $400

= $425.

The total cost for 10 hours

$25 + $50(10)

$25 + $500

$525.

The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.

Based on the information, we want to arrange the numbers from the greatest to the least.

In this case, it will be illustrated thus:

-2.1

-1 5/6 = -1.83

-1 2/3 = -1.67

-2.2

This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.

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Answer:

The exact answer would be:

[tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]  an approximate answer to the nearest whole number would be 7

Step-by-step explanation:

To find the missing side we would use the Pythagorean Theorem.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] =[tex]c^{2}[/tex]

[tex]\sqrt{7} ^{2}[/tex] + [tex]b^{2}[/tex] = [tex]\sqrt{46} ^{2}[/tex]

7 + [tex]b^{2}[/tex] = 46  Subtract 7 from both sides

[tex]b^{2}[/tex] = 39

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{39}[/tex]

b = [tex]\sqrt{39}[/tex]

The perimeter, the distance around the triangle, is [tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]

Solution:

Let each cubic block be represented with x

Let each spherical block be represented with y

Let each cylindrical block be represented with z

For A,

3x + y = 2y + z

For B,

3x = 5y

For c,

We want to find 3x + 3y

From

3x + y = 2y + z

3x +y -2y =z

3x-y = z-----------------------(m)

From B,

3x = 5y

Substitute 3x = 5y into (m) above

3x-y = z

5y-y = z

4y = z----------------------------------(b)

From C,

3x + 3y = 5y + 3y = 8y

3x + 3y = 2(4y)

3x + 3y = 2z

Recall, z = cylindrical block

The two blocks that will balance C is cylindrical block

You have the following equation:

y = 1/2 x

In order to determine what is the constant of proportionality, consider the general fom of proportional relatioship, given by:

y = kx

by comparing the previous equation with y=1/2x, you can notice that k=1/2. Then, the constant of proportionality is k = 1/2

A. 1/2

If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The  rate that  the turtle is crawling in miles per hour is:  0.2 miles /hour .

Given data:

1/2 of an hour  =  1/20 of a mile

Now let determine the unit rate

Unit rate that the turtle is crawling is: (1/20)/(1/2)

Hence,

Unit rate  = (1/20)×(2/1)

Unit rate  = 2/20 miles/hour

Unit rate = 0.2 miles /hour

Therefore the rate is 0.2 miles per hour.

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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

A turtle is trained by Tanya,

For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.

We need to find at what rate the turtle is travelling per hour.

Let x be the distance travelled by turtle in hour.

1/20/1/2=x/1

Apply cross multiplication

x/2=1/20

x=2/20

x=0.1 miles / hour

Hence 0.1 miles per hour is the turtle travelling per hour.

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This is Geometric progression G P

The next three terms are;

64,128,256

Answer:

Step-by-step explanation:

A' = (1, 3)

B' = (0, 6)

C' = (-3, 5)

D' = (-2, 2)

ANSWER:

139 square yards

STEP-BY-STEP EXPLANATION:

We have that the formula for the surface area of a triangular prism is the following:

Where p, is the perimeter is the base and h is the height, while b is the area of the base, we replace and calculate the area like this:

The area is 139 square yards

Answer:

See below

Step-by-step explanation:

3 / (6i)    =   3 / (6 * sqrt(-1) )

To rationalize the denominator , multiply both top and bottom of the fraction by   ( 6i)

=  18i / ( 6i * 6i)   = 18i / (36 i^2 ) = 18 i / (-36 ) = - i/2