would appreciate getting the answer

Answer:

13

Step-by-step explanation:

-3-10, or 10+3 is equal to 13

Answer:

13

Step-by-step explanation:

-3+13=10

The equation would be 5(x + 3) = 45

To solve:

1) Distribute 5 to x and then 5 to 3

2) That gives you this equation: 5x + 15 = 45

3) Then subtract 15 from both sides

4) You should get this: 5x = 30

5) Then divide 5/5 and 30/5 to isolate the x

6) The answer should be: x = 6

Have a good day/night :)

The length and width of a rectangle that maximises the enclosed area are 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

As we know that the perimeter of rectangle

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

From the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, the length and width of a rectangle that maximises the enclosed area are 800 yards. 640,000 square yards is the maximum area.

To learn more about perimeter and area of rectangle link is here

brainly.com/question/16572231

#SPJ1

(-π/2 , π/2) is the restricted domain on the tangent function that allows us to build the arctangent (inverse tangent) function.

As, we know that the Tangent function is neither an One-One nor Onto function. So, the domain should be restricted to obtain the inverse function of the Tangent function.

Domain of the tangent function be, R - {(2n+1)π/2}

Range of the tangent function be, R

Now, to build the inverse tangent function we have to restrict the domain so that, the function will be one-one and onto both.

So, the restricted domain be (-π/2 , π/2).

In the domain (-π/2 , π/2), the tangent function is one-one and onto both and hence, we can build the inverse tangent function i.e. arctangent.

So, (-π/2 , π/2) is the restricted domain on the tangent function that allows us to build the arctangent (inverse tangent) function.

Learn more about Trigonometric Functions here https://brainly.com/question/25618616

#SPJ4

Answer:10.3

Step-by-step explanation:

16(5h-29)=360

80h-464=360

80h-464+464=360+464

80h/80=824/80

h=10.3

The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.

The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:

3 + x = 27

3 + x -3 = 27 - 3

x = 24

Similarly,

x + 6 – 6 = 5 – 6

x = -1

Learn more about Subtraction property of equality:

https://brainly.com/question/1601404

#SPJ4

Answer:

3+x=27

✔ subtraction property of equality with 3

x/6 = 5

✔ multiplication property of equality with 6

Step-by-step explanation:

Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The table is given below.

Number of Days Rented               Rental Cost ($)

                   1                                          12

                  2                                          17

                  3                                          22

                  4                                          27

At x = 1, the value of y is 12.

12 = m + c                      ...1

At x = 2, the value of y is 17.

17 = 2m + c                      ...2

Subtraction equation 1 from equation 1, then we have

2m - m = 17 - 12

m = 5

Then the value of 'c' is given as,

17 = 2 x 5 + c

17 = 10 + c

c = 7

Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:

11

Step-by-step explanation:

Distance formula is square root of (x2-x1)^2+(y2-y1)^2

square root of (6-(-5))^2+(7-7)^2

square root of (11)^2+(0)^2

square root of 121+0

square root of 121

11

distance is 11

The set of values for Rents lesser than $700. So, rent 700 <y<0

learn more about hypothesis click here:

https://brainly.com/question/606806

#SPJ4

The state population as a single-digit time power of 10 is approximately 4 × 10⁷.

Calculations are made easier and more realistic when a number is estimated, which is a plausible estimation of its true value.

To estimate something is to approximate it as accurately as possible.

To acquire a quick and approximate response is obtained by rounding down the values used in the computation.

Given the state estimated population = 38,332,521

Divide and multiply by 10

So,

= 3,833,252.1 × 10¹

= 383,325.21 × 10²

So, similarly, we can write

= 3.8332521 × 10⁷

So, we can write the state population as approximately 4 × 10⁷

To know more about estimation, visit:

https://brainly.com/question/222440

#SPJ1

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180°

∠ B + 72° + 36° = 180°

∠ B + 108° = 180° ( subtract 108° from both sides )

∠ B = 72°

Then

∠ B = ∠ C = 72°

this means the 2 base angles in Δ ABC are congruent , then the triangle is isosceles with the 2 legs being congruent , that is

AB = AC

Answer:

3/5

Step-by-step explanation:

Given problem,

→ (1/10) + (1/2)

Let's solve the problem,

→ (1/10) + (1/2)

→ (1/10) + (5/10)

→ 6/10

→ 3/5 {simplest form}

Thus, answer is 3/5.

The rate at which length of shadow of person changing is 3 ft /sec.

H = Height of streetlight; 16 ft

h = Height of man; 6 ft

x = Length of man's shadow.

s = Distance from streetlight to man.

Using the similarities of the triangles.

H/h = (s + x)/x

Hx = h(s + x)

Differentiate with respect to 't' on both sides.

H(dx/dt) = h(ds/dt + dx/dt)

Put the values.

16(dx/dt) = 6(5 + dx/dt)

16(dx/dt) = 30 + 5dx/dt

10dx/dt = 30

dx/dt = 3 ft /sec

Thus, the rate at which length of shadow of person changing is 3 ft /sec.

To know more about the time rate, here

https://brainly.com/question/119866

#SPJ4

The correct table is :

x   g(x)

1   -10

2   -12

3   -14

Given, f(x) = x+4

and g(x) = -2.f(x)

we check for x = 1

f(x) = 1+4

= 5

now g(x) = -2.f(x)

= -2(5)

= -10

for x=2

f(x) = 2+4

= 6

now g(x) = -2.f(x)

= -2(6)

= -12

for x=3

f(x) = 3+4

= 7

now g(x) = -2.f(x)

= -2(7)

= -14

Hence we get the required values.

Learn more about Functions here:

brainly.com/question/25638609

#SPJ9

Answer:

C

Step-by-step explanation:

see the other dudes answer im jus making it easier to see and select for kids who have to hide the fact that they're cheating on their FLVS

The height of the building after using proportion is  110.5 ft.

What is proportion ?

The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.

Here House height = 13ft

Shadow of the house height = 20 ft

Shadow of the building height = 170ft

Noe using proportion ,

=> [tex]\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}[/tex]

=> [tex]\frac{13}{20} = \frac{x}{170}[/tex]

=> x=[tex]\frac{13*170}{20}[/tex] =110.5 ft.

Hence the height of the building is 110.5 ft tall.

To learn more about proportion refer the below link

https://brainly.com/question/1496357

#SPJ4

The image of (-1,7) after a reflection over the line y = x is (7, -1).

What is a line of reflection?

When reflecting a figure in a line or a point, the image and preimage coincide. A reflection converts each point in a figure from a point to an image via a set line. The reflection line is the name given to the fixed line.

Here, we have

Image : (-1.7)

Now,

Reflect over the line y = x:

When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.

Thus, the point (-1,7) maps to the point (7,-1) when reflected over y=x.

Hence, The image of (-1,7) after a reflection over the line y = x is (7, -1).

To learn more about reflection from the given link

https://brainly.com/question/20623256

#SPJ13

Answer:

Range:  [tex]\text{y} \ge 0[/tex]

Domain: [tex]\text{x} \ge 0[/tex]

Both involve "greater than or equal to 0".

==============================================

Explanation:

The domain is the set of allowed inputs (x). The smallest input allowed in this case is x = 0, as it corresponds to the left-most point (0,0) on the blue graph. There is no largest x value since it stretches forever to the right.

Either x = 0 or x > 0 which condenses to [tex]\text{x} \ge 0[/tex] and this is the domain as an inequality.

--------

The range will have us look at the possible y values or possible outputs. We have y = 0 as the smallest output possible, which corresponds to the lowest point (0,0).

There is no largest y value since the blue graph goes forever upward.

Either y = 0 or y > 0 to give us the range of [tex]\text{y} \ge 0[/tex]

Answer:

4 to 7 percent.

Step-by-step explanation:

We use the traditional oil-to-vinegar ratio: three parts oil to one part vinegar/acid, but this ratio can vary depending on your choice of vinegar/acid and personal taste. The less acidic the vinegar/acid, the less oil you need. It's all about balance!

Answer:

18$

Step-by-step explanation:

this is so i can reach twenty characters.

The two trains will pass each other after 7 hours.

Both trains need to cover a distance of 525 miles before they cross each other.

We know, d = s × t

where d ⇒ total distance travelled

s ⇒ speed of the train

t ⇒ time taken for both trains to meet

For train A,

s = 30 miles per hour

Distance covered by train A in t hours = 30 × t

For train B,

s = 45 miles per hour

Distance covered by train B in t hours = 45 × t

As the total distance is 525 miles,

30t + 45t = 525

75t = 525

t = 7 hours

Hence, the trains will pass each other after 7 hours.

Learn more about speed, distance and time:

brainly.com/question/29341186

The answers are as follows -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

Given are the following relations -

3y = x

{(2,6),(3,9),(5,15)}

{(1,16),(2,8),(4,4)}

We can write -

x = 3y

as

y = (1/3)x

m = 1/3

Relation 3y=x represents direct variation.

For the relation - {(2,6),(3,9),(5,15)}, we can write -

We can write it as -

y = 3x

Relation {(2,6),(3,9),(5,15)} represents direct variation.

For the relation - {(1,16),(2,8),(4,4)} , as [x] increases, [y] decreases, so it is a inverse relation.

Therefore -

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

The number of hours it is suggested to study is 8.5 hours using the concept of the equation.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equations. The value of an unknown variable, or unknown quantity, can be determined by solving equations.

Given,

The given linear equation P = 6.31H + 41.5, is used to predict the points earned P.

Also P = 95,

Now, we will find the value of H by using LHS=RHS

95 = 6.31H+41.5

Subtract 41.5 from both sides,

53.5 = 6.31H

Now, divide both sides by 6.31,

8.5 = H

Therefore, the number of hours it is suggested to study is 8.5 hours.

To know more about linear equations, visit:

https://brainly.com/question/24267899

#SPJ1

The value of  g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex]). The correct option is (C).

Given,

In the question:

f(x) = [tex]x^{2}[/tex]

To find the value of g(x)

To see the graph and analysis

Now, According to the question:

We know that:

g(x) = k f(x) = k[tex]x^{2}[/tex]

In the graph, The value are given as:

Plug (4,1) into g(x):

1 = k. [tex]4^2[/tex]

k = 1/16

=> g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex])

Hence, The value of  g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex]). The correct option is (C).

Learn more about Graph at:

https://brainly.com/question/17267403

#SPJ1

Answer:

3/2x

Step-by-step explanation:

Answer:

it is 18 mile

Step-by-step explanation:

12mile = 60 min

x = 90 min

we cris cross the equation and

we found x=18 mile

The length of the rectangular area is 800 yards and width is 800 yards

The perimeter of the rectangular area = 3200 yards

The perimeter of the rectangle = 2 (l + w)

Then the equation will be

2(l + w) = 3200

l + w = 3200 / 2

l + w = 1600 yards

w = 1600 - l

The area of the rectangular area = l × w

= l(1600 - l)

Since the area is maximizing the the rate of change of area will be zero

l × w = 0

1600 - 2l = 0

2l = 1600

l = 1600/2

l = 800 yards

Then

w = 1600 - l

Substitute the value of l in the equation

w = 1600 - 800

w = 800 yards

Hence, the length of the rectangular area is 800 yards and width is 800 yards

Learn more about area here

brainly.com/question/8663941

#SPJ1

The expression -9(1/2x-3) is -9/2x + 27.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

-9(1/2x-3)

Now, solving the above expression as

-9 x 1/2x= -9/2x

-9(-3)= +27

So,  -9(1/2x-3) = -9/2x + 27

Hence, the expression is -9/2x + 27.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

The number of solutions each polynomial has is 1, 5 and 3

In mathematics, a polynomial is an equation made up of coefficients and indeterminates, sometimes referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be used to solve it. An example of a polynomial with one undetermined x is x2 4x + 7.

Polynomials are often employed in both mathematics and science. In fundamental chemistry and physics, economics, and social science, for example, they are used to define polynomial functions. They are also employed in calculus and numerical analysis to approximate other functions. From straightforward word problems to intricate scientific conundrums, polynomial equations are utilized to represent a broad variety of topics. polynomials' usage in complex maths.

The number of solutions of a polynomial is equal to the highest degree of the polynomial.

So,

1) y = -6x -9

Has 1 solution as highest degree = 1

2) y = 2x⁵-x⁴ +2x³-6x²+2x+4

Has 5 solutions as highest  degree = 5

3) y = -4x³-10x² +7x+5

Has 3 solutions as highest  degree = 3

To know more about polynomials, visit:

https://brainly.com/question/11536910

#SPJ13

AREA OF A SQUARE= LENGTH* LENGTH

16900= L²

TAKE THE SQUARE ROOTS OF BOTH SIDES

√16900 =√L²

L= 130

THEREFORE THE LENGTH OF THE FIELD IS 130cm.

Answer:

Step-by-step explanation:

its a square so choose the yellow square.