A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight? Use 3.14 for pi.

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

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Answer:

The area of the warehouse B is 1150 square feet.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:

[tex]A_{A} = x\cdot y[/tex] (1)

[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)

Where:

[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.

[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.

If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:

[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]

[tex]A_{B} = 1150\,ft^{2}[/tex]

The area of the warehouse B is 1150 square feet.

Responda:

1075 tijolos

Explicação passo a passo:

Dado que:

Número de tijolos produzidos Mensalmente = 5.000 tijolos

A quantidade de tijolos produzidos por licença = 3925

O número de tijolos que ainda faltam no valor mensal desejado:

Quantidade de produção mensal - quantidade produzida por licença

5000 - 3925 = 1075 tijolos

The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

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problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number

problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3

problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2

Answer:

No

Step-by-step explanation:

Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.

hope this helps!!!

Answer:

16

Step-by-step explanation:

Set up the equation: g/2 = 8

We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).

End up with: g = 16

Hope this helps :)

Answer:

50

15 * 6 = 90

140 - 90

Answer:

8/32;

Step-by-step explanation:

8/32 is equivalent to 1/4 which percentage is 25

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

Answer:

266.24 Ounces

Step-by-step explanation:

By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:

y = -3.84(x) + 320

By using this equation we will then add the 14 days as x to get

y = -3.84(14) + 320

y = -53.76 + 320

y = 266.24

Answer:

The second one, the third one.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8.180

9.34.44

10. 885.6

Answer:

[tex]x=-1.25y-3.75[/tex]

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

Answer:

1.22%

Step-by-step explanation:

150 x 1.22 = 183

Answer:

35.6

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Answer:

3/20 m²

Step-by-step explanation:

Here is the complete and clear question :

Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?

Characteristics of a rectangle

Area of a rectangle = length x breadth

Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²

Answer:

5:15 pm

Step-by-step explanation:

Hope this helps!

Answer:

i B-elive it is B XD

Step-by-step explanation:

Answer:

D. y=-4x+24

Step-by-step explanation:

1.4x+y=4

y=-4x+4

2.4=-4(5)+a

4=-20+a

a=24

3.y=-4x+24

-

Answer:

1. (2,3)

2. (7,-2)

3. (-4,-1)

4. No solutions

Step-by-step explanation:

Solve using substitution or elimination.

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

Answer:

None of the given functions

Step-by-step explanation:

Given

[tex]A)\ f(x) = 3x + 7[/tex]

[tex]B)\ f(x) = x^3 - 2x^2 +x - 5[/tex]

[tex]C)\ f(x)=2x - 3[/tex]

[tex]D)\ f(x)=x^2 - 7x + 4[/tex]

Required

Which do not have set of real numbers as its domain

If a function has no root and no denominator, then the domain of such function is a set of all real numbers

The given functions (a) to (d) do not have square roots and do not have denominators.

Hence, all functions have the set of real numbers as their domain

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

Answer: $400,000

Step-by-step explanation:

Let the salesperson's total amount of sales, in dollars, for this year be represented by x.

Therefore, 60% of x = $240,000

60/100 × x = $240,000.

0.6 × x = $240,000..

x = $240000 / 0.6

x = $400,000

Therefore, the salesperson's total amount of sales, for this year is $400,000.

Answer:

sure.

Step-by-step explanation:

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