Write an inequality that represents the verbal expression.
3 more than a number tis greater than or equal to 21.

Answer:

∠ A ≈ 43.1°

Step-by-step explanation:

Using the Sine rule in Δ ABC , that is

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )

29 × sinA = 20 × sin82 ( divide both sides by 29 )

sinA = [tex]\frac{20sin82}{29}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )

Answer:

It would be 1%

Answer:

(a) 3, (b) 96, (c) No

Step-by-step explanation:

(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.

The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].

Let's use the quadratic formula to find q,

we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]

We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.

Hence, the answer of (a) is 3

(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.

(c) We want to find if there is an exact quantity that makes the TR exactly 1500.

We substitute TR = 1500,

[tex]1500 = 85q - 2q^2[/tex]

Use the quadratic formula again, and we will find that the answer is "undefined".

As a result, there is not output level in which the total revenue is exactly 1500.

Answer:

[tex]\sqrt{x-3} = 3[/tex]

Step-by-step explanation:

Answer: 1.5, 3.5, 4.5, 6.5, 8.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Given ,

Perimeter of square = 48 cm

In the question , it has been said that the square is cût into identical rectangles. Therefore ,

To find - Perimeter of each rectangle formed by cûtting the square into half.

[tex]\huge\red{ ★\:Aᥒsᥕᥱr -}[/tex]

[tex]\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}[/tex]

thus , as stated above ,

[tex]\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}[/tex]

Therefore ,

[tex]\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}[/tex]

hope helpful ~

Answer:

5 tables

Step-by-step explanation:

3 = 24

1 = 24 ÷ 3 = 8

40 chairs = 40 ÷ 8 = 5

Hope this helps!

Answer:

5 tables

Step-by-step explanation:

3 * 8 = 24

5 * 8 = 40

7 * 8 = 56

8 * 8 = 64

Answer:

Step-by-step explanation:

400

Answer:

its simple its 400

Step-by-step explanation:

Answer:

Governor of State A earns $181,955 and Govermoe of State B earns $128,410

Answer:

the governor of state B = $128,410

the governor of state A = $ 181,955

Step-by-step explanation:

Lets say that:

the governor of state B = x

the governor of state A = x+$53,545

x+x+$53,545=

2x+$53,545= $310,365

2x=$256,820

x=$128,410

the governor of state A = $128,410 +$53,545 = $ 181,955

Answer:

#2) 6,440 kilograms

The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and 1/3 meter deep then the mass of the steel beam is 6,440 kilograms Option b.

To find the mass of a steel beam.  

Let's start by defining the variables we have:

- The density of steel, denoted by "ρ" (rho), is given as 8,050 kilograms per cubic meter (kg/m³).

- The dimensions of the steel beam are:

 - Length (L) = 12 meters (m)

 - Width (W) = 1/5 meter (m)

 - Depth (D) = 1/3 meter (m)

We want to find the mass (m) of the steel beam. The mass of an object can be calculated using its density and volume:

M = ρ [tex]\times V[/tex]

Here, "V" represents the volume of the steel beam. The volume of a rectangular prism (like the steel beam) is calculated as:

[tex]\[ V = L \times W \times D \][/tex]

Substitute the given values:

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \, \text{m} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = \frac{12}{5} \times \frac{1}{3} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{12}{15} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{4}{5} \, \text{m}^3 \][/tex]

Now that we have the volume, we can find the mass of the steel beam using the given density:

[tex]\[ m = 8,050 \, \text{kg/m}^3 \times \frac{4}{5} \, \text{m}^3 \][/tex]

[tex]\[ m = \frac{8,050 \times 4}{5} \, \text{kg} \][/tex]

[tex]\[ m = \frac{32,200}{5} \, \text{kg} \][/tex]

[tex]\[ m = 6,440 \, \text{kg} \][/tex]

After performing the calculations, we find that the mass of the steel beam is 6,440 kilograms. Therefore, the correct answer is option Option b 6,440 kilograms.

To know more about Volume here

https://brainly.com/question/28058531

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Answer:

a. Function

b. Function

c. Not a function

Step-by-step explanation:

Here is a basic rule to determine if a relation is a function of not:

1. A function has only one exact y-value (range) assigned to each x-value (domain).

2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.

Bearing these in mind, let's label the given representation accordingly:

a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.

b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.

c. The table shows a repeating x-values. This is definitely not a function.

364=s+(s+18)

364-18=346

346/2=173

173+18=191

173=sanchez

191=washington

364=173+(173+18)

Answer:

[tex]V=186.1\ m^3[/tex]

Step-by-step explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:

[tex]\displaystyle V=\frac{A_b*H}{3}[/tex]

If the base is a square of side length L, then its area is:

[tex]A_b=L^2[/tex]

Thus, substituting the above equation in the first:

[tex]\displaystyle V=\frac{L^2*H}{3}[/tex]

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:

[tex]\displaystyle V=\frac{10.9^2*4.7}{3}[/tex]

[tex]\displaystyle V=\frac{558.407}{3}[/tex]

[tex]\boxed{V=186.1\ m^3}[/tex]

Answer:186.1

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Because two 9's cancel out each other so 9 is what is left.

Hope it helps!

Answer:

14

Step-by-step explanation:

14+(-9)=14-9=5-(-9)-5+9=14

Question:

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Answer:

l and m:

none of these

l and n:

skew

m and n:

perpendicular

Answer:

l and m:

✔ none of these

l and n:

✔ skew

m and n:

✔ perpendicular

Answer:

4 2/3

Step-by-step explanation:

First do:

5/3x14/5=

5x14

--------

3x5

=70/15

=4 2/3

Answer:

x = 6

Step-by-step explanation:

...

...

...

.....

..

Answer:

- 4, - 1, 2, 5

Step-by-step explanation:

To find the range, simply substitute each of the domains into the function to get the y-values.

f(-2) = 3(-2) + 2

      = - 6 + 2

      = - 4

f(- 1) = 3(-1) + 2

       = - 3 + 2

       = - 1

f(0) = 3(0) + 2

     = 0 + 2

     = 2

f(1) = 3(1) + 2

    = 3 + 2

    = 5

The range is - 4, -1, 2, 5.

Answer:

I think its B. y is all real numbers.

Step-by-step explanation:

Sorry if that is incorrect

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)

Answer:

A.) the addition property of equality and then the division property of equality

Step-by-step explanation:

Got It Right. Trust me

Answer:

Step-by-step explanation:

Max gross earning was:

Average per hour:

Answer:

33,39

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it pretty much self explanatory

Answer:

[tex]y = \frac{ - 67}{5} [/tex]

Step-by-step explanation:

[tex]y + \frac{2}{5} = - 13[/tex]

* Subtract 2/5 from both sides

[tex]y + \frac{2}{5} - \frac{2}{5 } = - 13 - \frac{2}{5} [/tex]

[tex]y = \frac{ - 67}{5} [/tex]

linear equation

hope it helps

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x      20   25   30      35   40  45 50

f(x) 0.05 0.2 0.25  0.15  0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

9000 + 4500 x n = 27000

4500 x n = 18000

n = 18000 : 4500

n = 4

4 months of work