Write the polynomial in standard form.
( look at photo )

[tex]-4x-4y = 24~~...(i)\\\\3x +10 = y~~....(ii)\\\\\text{Substitute}~ y = 3x +10~ \text{in eq (i):}\\\\-4x -4(3x+10) = 24\\\\\implies -4x -12x -40=24\\\\\implies -16x =24+40\\\\\implies -16x = 64\\\\\implies x =- \dfrac{64}{16}\\\\\implies x = -4\\\\\text{Substitute}~ x = -4 ~ \text{in equation (ii) to find y:} \\\\y=3(-4) +10 = -12 +10 = -2\\\\\text{Hence,}~(x,y) = (-4,-2)[/tex]

passenger cars = 36

total no. of cars = 36 + 8 = 44

hope it helps...!!!

Answer:

y-6=(3/2)(x+6)

Step-by-step explanation:

Given:

Point-Slope:

[tex]\displaystyle \large{y-y_1=m(x-x_1)}[/tex]

Substitute m = 3/2, x1 = -6 and y1 = 6:

[tex]\displaystyle \large{y-6=\dfrac{3}{2}[x-(-6)]}\\\displaystyle \large{y-6=\dfrac{3}{2}(x+6)}[/tex]

Therefore, the equation is y-6=3/2(x+6)

Answer:

The answer is equal to -23.

Step-by-step explanation:

Please refer to the attachment below; I had issues posting the answer.

[tex]\sqrt{75x^2 y}\\\\=\sqrt{75} \cdot x\sqrt y\\\\=\sqrt{25 \times 3} \cdot x\sqrt y\\\\=5\sqrt 3 \cdot x \sqrt y[/tex]

The right triangle with sides 29m, 49.5m and 57.4 m has the value of cot  φ as 1.707

A right angle triangle has one of its angles as 90 degrees.

Therefore, it has an opposite, adjacent and hypotenuse side depending on the angle.

oposite side = 29 m

adjacent side = 49.5 m

hypotenuse side = 57.4 m

Therefore,

cot φ = 1 / tan φ

Hence,

tan φ = opposite / adjacent

Therefore,

cot φ = adjacent / opposite

cot φ = 49.5 / 29

cot φ = 1.70689655172

cot  φ =  1.707

learn more on right triangle here: https://brainly.com/question/14615710

Answer:

1-C; 2-D.

Step-by-step explanation:

0) the common formula is:

area=π*r²;

1) according to the formula above the area of the sector C. doubles (increases by a factor two);

2) according to the formula the area of the sector D. quadruples (increases by a factor four).

Answer:

George : Carl : Alex = 1 : 12 : 4

Step-by-step explanation:

let a = Alex's age in years

let g = George's age in years

let c = Carl's age in years

Given:

⇒ a = 12 + g

⇒ g = a - 12

Given:

⇒ c = 3a

Given:

⇒ a + g + c = 68

Substitute the first two equations in the last equation and solve for a:

⇒ a + (a - 12) + 3a = 68

⇒ 5a - 12 = 68

⇒ 5a = 80

⇒ a = 16

Substitute the found value of a into the other equations to find g and c:

⇒ g = 16 - 12 = 4

⇒ c = 3(16) = 48

Therefore:

Ratio

George : Carl : Alex = 4 : 48 : 16

Reduce by dividing by 4 → 1 : 12 : 4

Answer:

i got you explain

Step-by-step explanation:

Two rational numbers between -2 and 2 are : 0 and 1.

or The two rational no are -1 and +1

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

→ first rational number

[tex] \tt{⇒ \frac{ ( { \cancel{-2}}+{ \cancel 2)}} {\cancel{2}}} \\ \\ \tt{⇒ \frac{ 0}{2} }\\ \\ \tt{⇒0} [/tex]

[tex] \pink{ \rule{60mm}{2.2pt}}[/tex]

→ Second rational number

[tex]\\ \tt{⇒ \frac{(-2+0)}{2}} \\ \\ \tt{⇒ \frac{ \cancel{-2}}{ \cancel{2}} }\\ \\ \tt{⇒-1} [/tex]

[tex]\rule{70mm}{3.9pt}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

4/12  2/3 5/6 5/6

Step-by-step explanation:

The volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.

Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.

The volume of the sphere can be given as,

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Here, (r) is the radius of the sphere.

The radius of the large sphere is times longer than the radius of the small sphere. Here in the attached image,

The ratio of the volume of the large sphere to the volume of the small sphere is,

[tex]\dfrac{V_l}{V_s}=\dfrac{\dfrac{4}{3}\pi (18.6)^3}{\dfrac{4}{3}\pi (6.2)^3}\\\dfrac{V_l}{V_s}=\dfrac{18.6\times18.6\times18.6}{6.2\times6.2\times6.2}\\\dfrac{V_l}{V_s}=\dfrac{1}{27}[/tex]

Thus, the volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.

Learn more about the volume of sphere here;

https://brainly.com/question/22807400

Answer:

1/27

Step-by-step explanation:

Answer:

1. 27.5

2.32.5

3.30

6.22.5

11. 17.5

16.12.5

21. 7.5

7.27.5

12.22.5

17.17.5

22.12.5

8.25

13.20

18.15

23.10

Answer: C) (12, -14)

Step-by-step explanation:

I am going to solve by elimination.

Start by subtracting one equation from the other

[tex]y=-x-2\\-(y=-\frac{1}{2} x-8)\\0=-\frac{1}{2} x+6[/tex]

Now solve for x

[tex]0=-\frac{1}{2} x+6\\0-6=-\frac{1}{2} x+6-6\\-6=-\frac{1}{2} x\\(-6)(-2)=(-2)(-\frac{1}{2} x)\\12=x[/tex]

Now sub in x into one of the equations to find the value of y

[tex]y=-(12)-2\\y=-14[/tex]

Answer:

Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.

vertex: (2, –3); focus: (–1, –3)

Step-by-step explanation:

Answer:

16π

Step-by-step explanation:

Given:

[tex]\text{Radius of circle}: 4 \ \text{m}[/tex]

Formula:

[tex]\text{Area of circle} = \pi r^{2}[/tex]

Replace the radius in the formula:

[tex]\implies \text{Area of circle} = \pi (4)^{2}[/tex]

Evaluate the area:

[tex]\implies \text{Area of circle} = \pi (4)(4)[/tex]

[tex]\implies \text{Area of circle} = 16\pi[/tex]

Since the question says to determine the area in terms of π, the final answer is 16π.

Answer:

The first one is blinded. I didn't get the other one though. The one that says "neither the subjects nor the researchers" is wrong.

Step-by-step explanation:

I use Plato.

The experiment is blindeded because the scientist know which treatment group each subject is in.

Experiment is the scientific approach to determine the properties of some sample by doing some research on it eg. By adding another material, or determination of hypothesis.

Hypothesis is the assumption which is made under some evidence which can be proceed further verification or by doing experiment on it.

From the question it is clear that the scientist wants to meassure the effect of apple cider vinegar subject on the blood sugar level.

So here the effect of apple cider vinegar subject on the blood sugar level is hypothesis.

From 200 randomly choosen young groups one half have taken apple cider where other half have taken placebo in order to clarify and study which group has taken which treatment and their effect in their blood sugar level.

Learn more about experiment

Here : https://brainly.com/question/5397388

#SPJ2

Answer: 0 17.251 = -7.25

0 17.251 = 17.251

Step-by-step explanation:

make sense

Answer

The area will be 484 square centimeters.

Answer:

Step-by-step explanation:

Answer:

The answer is c3 or c x 3.

Step-by-step explanation:

Because the product in math is multiplication, the product of c and 3 would be c x 3.

Answer:

c)

Step-by-step explanation:

Answer:

The surface area of a figure is the sum of all the sides that consist of it.

Let's first find the base's area, using the formula for the area of a rectangle, L · W:

9(6)

= 54 is the area of the base.

Now let's find the entire front side of this figure's area and double it so we get both the areas of the front and back side (using the formula for the area of a rectangle):

4(9)[bottom front rectangle] + 4(5)[upper front rectangle]

36 + 20

= 56, now double that area to get the area of both the front and back side:

56(2)

= 112 is the area of both the entire front and back side of this figure.

Now let's figure out the area of the right whole side of this figure then double it so we get both the areas for the left and right sides.

But, if we look at the middle rectangle to the right and left sides, we can see that there is no value, so let's find the value first.

The total length across the figure is 9 inches.

And we are given that the rectangle above intersects with the total length, so let's exclude that from 9 inches.

9 - 4 = 5, so now the total length of the two rectangles beside the above rectangle is 5.

But we want to find the value of one side, so divide 5 by 2.

5/2 = 2.5 inches.

Now let's find the whole entire area of the right side to this figure.

5(6)[upper right rectangle] + 2.5(5)[flat middle right rectangle] + 6(4)[bottom right rectangle)

30 + 12.5 + 24

= 66.5, now double that area to get both the area of the right and left side.

66.5(2)

= 133, is the area of both the right and left side of this entire figure.

Finally, we add all those areas together to get the surface area:-

54 + 112 + 133

= 299 inches is the surface area for this figure.

Answer:The surface area of a figure is the sum of all the sides that consist of it.

Let's first find the base's area, using the formula for the area of a rectangle, L · W:

9(6)

= 54 is the area of the base.

Now let's find the entire front side of this figure's area and double it so we get both the areas of the front and back side (using the formula for the area of a rectangle):

4(9)[bottom front rectangle] + 4(5)[upper front rectangle]

36 + 20

= 56, now double that area to get the area of both the front and back side:

56(2)

= 112 is the area of both the entire front and back side of this figure.

Now let's figure out the area of the right whole side of this figure then double it so we get both the areas for the left and right sides.

But, if we look at the middle rectangle to the right and left sides, we can see that there is no value, so let's find the value first.

The total length across the figure is 9 inches.

And we are given that the rectangle above intersects with the total length, so let's exclude that from 9 inches.

9 - 4 = 5, so now the total length of the two rectangles beside the above rectangle is 5.

But we want to find the value of one side, so divide 5 by 2.

5/2 = 2.5 inches.

Now let's find the whole entire area of the right side to this figure.

5(6)[upper right rectangle] + 2.5(5)[flat middle right rectangle] + 6(4)[bottom right rectangle)

30 + 12.5 + 24

= 66.5, now double that area to get both the area of the right and left side.

66.5(2)

= 133, is the area of both the right and left side of this entire figure.

Finally, we add all those areas together to get the surface area:-

54 + 112 + 133

= 299 inches is the surface area for this figure.

Step-by-step explanation:

Answer:

1%

NO Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is 2 away from 0

Answer:

lawer, Police officer criminal justice

The total amount of deduction in percentage is 22%. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The total amount of deductions from an employee’s gross pay is $83.20. if the gross pay is $378.18.

Then the percentage will be given as

[tex]\rm P = \dfrac{83.20}{378.18}\times 100\\\\P = 0.220 \ or \ 22\%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

3.5555555555556

Step-by-step explanation:

you cannot find the Mean Absolute Deviation of one number. This answer is the data set 2, 9, and 0. 3.5555555555556 is the Mean Absolute Deviation of 2, 9, 0.