7. Which of the verbal descriptions best matches the function below?

f(x)=0.02x+150

Answer:

N: 30 B:150

Step-by-step explanation:

Supplementary angles add up to 180 meaning their equations must also add up to 180:

(3x + 18) + (2x + 142) = 180

Solve for x:

5x + 160 = 180

5x = 20

x = 4

Substitute 4 in all values of x to obtain the measure of the two angles:

N: 3(4) + 18 = 30

B: 2(4) + 142 = 150

The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

For the given data the table can be made as shown below. The marginal distribution of tenure in counts can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ1

Answer:

1/12  mile per minute

Step-by-step explanation:

1/4 mile in 3 minutes

 then miles per minute   is   1/4 mile / 3 min = 1/12  mile/min

Answer:

x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex]

and

3x + 4 = 0 ( subtract 4 from both sides )

3x = - 4 ( divide both sides by 3 )

x = - [tex]\frac{4}{3}[/tex]

So

And

An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,

m = (-2 - 0)/(0-4)

m = -2/-4

m=1/2

m = 0.5

The equation now in point slope form can be written as,

(y+2) = 0.5(x+0)

y+2=0.5x

Hence, the equation of the line in point-slope form is y+2=0.5x.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Answer: -8

Step-by-step explanation:

Answer:

7(w+13)=35

7w + 91 =35

7w=35-91

7w= -56

7w/7 = -56/7

w=-8

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

[tex]\boxed {24 cm^{2}}[/tex]

Step-by-step explanation:

Finding the smaller side :

⇒ P = 2(l + w)

⇒ 20 = 2(6 + w)

⇒ 6 + w = 10

⇒ w = 4 cm

Finding area :

⇒ 6 × 4

⇒ 24 cm²

Answer:

3x²

Step-by-step explanation:

1 triangle is 1/2x²

2 triangles are x²

rectangle below is 2 squares

rectangle below is 2x²

x² + 2x² = 3x²

Answer:

17 batches

Step-by-step explanation:

51/4 ÷ 3/4 = 51/4 x 4/3

                =17

Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

Answer:

first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;

[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]

next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰

Coplanar points are those that are all in the same PLANE. The other point that lies on line AC is B.

Collinear Points: Points are collinear if they are all in the same straight line.

Coplanar points: Coplanar points are those that are all in the same PLANE.

A.) Another way to label KF is F K.

B.) The other point that lies on line AC is B.

C.) Yes, Any two points can form a line, thus, A and D are colinear.

D.) Coplanar points are those points that lie in the same place. Although D and K lie on the same plane,j; the point E does not lie on the same plane. Thus, points E, D, and K are not coplanar points.

Learn more about Collinear Points and Coplanar points:

https://brainly.ph/question/13096098

#SPJ1

Answer:

(x+2)(x-3)(x+3) this is ans

Answer:

a. (x + 2)

Step-by-step explanation:

x^2(x + 2) - 9(x + 2)

(x + 2)(x^2 - 9)

(x + 2)(x - 3)(x + 3)

Therefore the answer is (x + 2)

Answer:

Eight days in total.

Step-by-step explanation:

If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)

The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)

Now,

5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)

=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7

= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³  - 10x² + 35x + 2x - 7

=  5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6

Learn more about this concept here:

https://brainly.com/question/11975127

#SPJ1

Answer:

[tex]\fbox {D. 10}[/tex]

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:

[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]

Our final answer is D. 10

Answer:

[tex]\fbox {B. Exponential Decay}[/tex]

Step-by-step explanation:

As the exponent is applied to a number less than 1, the future values of the function f(x) will become smaller and smaller. Hence, it represents exponential decay.

Answer: 43.5

Step-by-step explanation:

[tex]A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}[/tex]

The reduction in price that will be applied is $200.

From the given information, the price function will be:

P - 680/(680 - 660) = (Q - 70)/(70 - 75)

P = -4Q + 960

Revenue will be:

= Price × Quantity

= (-4Q + 960)Q

= 4Q² + 960Q

Differentiating this will be Q = 120

Price will be:

= (-4 × 120) + 960

= 480

The reduced price will be:

= 680 - 480

= 200

The maximum revenue will be:

= 480 × 120

= 57600

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer:

$46,819 is the average unemployed salary

Answer:

The answer is A

The missing length is 14 unit.

The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.

In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )

Here, The midsegment GH is given by 26.

One of the bases = 42

Let, another base be x

Then we have to use the formula of mid segment to find the another base of the trapezoid

∴ GH = 1/2 × (42+x)

⇒ 26 = 1/2 × (42+x)

⇒ 56 = 42+x

⇒ x = 56-42

⇒ x = 14

So, the missing length = 14 unit

Learn more about midsegment of trapezoid here :

https://brainly.com/question/22369849

#SPJ10

Answer:

please mark me as brainlest

The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let's consider the following trigonometric identity:

Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1

Each trigonometric function is cleared respectively in given parametric equations:

[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and  [tex]Sin\theta =\dfrac{y+1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]

Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

To know more about standard deviation follow

https://brainly.com/question/475676

#SPJ1

The measure of apothem is 1.75 cm.

The complete question is

The area of the regular octagon is 10.15 cm2.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

A polygon with eight sides , eight angles and eight vertices is called an octagon.

If a is the Side of the octagon.

10.15 = 2(1+√2) a²

a² = 10.15 / [2×(1+1.414)]

a² = 2.10

a = 1.45 cm

Therefore the side = 1.45 cm

A = 8 × (a × h)/2

If we consider  8 equilateral triangles with

a = face of octagon

h = Apothem of octagon

10.15 = 8 × (1.45 × h)/2

h = 10.15 /4/ 1.45

h = 1.75  cm

Therefore the measure of apothem is 1.75 cm.

To know more about Octagon

https://brainly.com/question/16543440

#SPJ1