Please answer this question now

Answer:

Option B

Step-by-step explanation:

Hope it is right

The value of equation describes the line graphed is,

⇒ y = -1/5x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -4) and (5, -5).

Now,

Since, The equation of line passes through the points (0, -4) and (5, -5).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 5 - (-4)) / (5 - 0)

m = - 1 / 5

Thus, The equation of line with slope - 1/5 is,

⇒ y - (-4) = -1/5 (x - 0)

⇒ y + 4 = -1/5x

⇒ y = -1/5x - 4

Therefore, The equation of line passes through the points (0, -4) and

(5, -5). will be;

⇒ y = -1/5x - 4

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Answer:

4000 nm

Step-by-step explanation:

Conversion from meters to nanometers: 1 meter is 1(10⁹) nm

Step 1: Convert 0.000004 to scientific notation

0.000004 = 4(10⁻⁶)

Step 2: Convert by multiplication

4(10⁻⁶) x 1(10⁹) = 4000 nm

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

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

Answer:

Option C. 3077.2 mm³

Step-by-step explanation:

Data obtained from the question include the following:

Diameter (d) = 17 mm

Height (h) = 60 mm

Pi (π) = 3.14

Volume =?

Next, we shall determine the radius of the cone. This is illustrated below:

Diameter (d) = 17 mm

Radius (r) =.?

Radius (r) = diameter (d)/2

r = d/2

r = 14/2

r = 7 mm.

The radius therefore, is 7 mm.

To know how much frozen water

is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:

Height (h) = 60 mm

Pi (π) = 3.14

Radius (r) = 7 mm

Volume =..?

V = ⅓πr²h

V = ⅓ × 3.14 × 7² × 60

V = 3.14 × 49 × 20

V = 3077.2 mm³

Therefore, the amount of frozen water in the icicle is 3077.2 mm³

Answer:

C 3,077.2 mm

Step-by-step explanation:

Answer:

0.0015 km².

Step-by-step explanation:

It is given that a map is drawn to a scale of 1 cm to 250 cm.

[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]

[tex]1\ cm^2=62500\ cm^2[/tex]

It is given that an airport has an area of 240 cm² on the map. So, its actual area is

[tex]Area=240\times 62500\ cm^2[/tex]

[tex]Area=15000000\ cm^2[/tex]

[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]

[tex]Area=0.0015\ cm^2[/tex]        [tex][\because 1\ km^2=10000000000\ cm^2][/tex]

Therefore, the area of airport is 0.0015 km².

Answer:

[tex]\boxed{-432\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]

[tex]-432\sqrt{2}\sqrt{-1}[/tex]

[tex]-432\sqrt{2} i[/tex]

Answer: it’s d!

Step-by-step explanation:

Answer:

Triangle klm

Step-by-step explanation:

edg 2020

Hi,

[tex]y=5x^{2} +12x-2\\y=x(5x+12)-\frac{46}{5} \\y=5(x+\frac{6}{5} )^{2}-\frac{46}{5} \\[/tex]

Have a good day.

Answer:

6:00 p.m.

hope this helps :)

Answer:

Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet. ... If you are using a ruler with a centimeter (cm) scale, then your units are going to be in cm, and if you ... We have to do the same thing to volume like we did with the surface area.

:)

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: [tex]\frac{19}{100}=\frac{x}{15000}[/tex], cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

Answer:

720 ways

Step-by-step explanation:

At first their are six books, that means that there are six different positions to put them. The first book to be placed would have 6 position, when the first book is placed, to place the second book there would be 5 position since one position has been used by the first book. After placing the second book, to place the third book there would 4 available position, and it follows this manner i.e for the fourth book 3 available position, for the fifth book 2 available position and for the sixth book, one available position.

Therefore the number of ways to arrange the books on the shelf from left to right = 6 × 5 × 4 × 3 × 2 × 1 = 6! = 720 ways

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

Answer:

(-19 , -7)

Step-by-step explanation:

y - x = 12

y + x = -25 we sum them to get

2y = -14 , y = -7

then we put -7 instead of y in any of the equations:

-7 - x = 12

-x = 19

x = -19,

finally (x , y) is (-19 , -7)

Answer:

<B = 32°

c = 9.43

Step-by-step explanation:

To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.

58° + 90° = 148°

180° - 148° = 32°

The measure of <B is 32°.

To find the length of side c, use the Pythagorean Theorem.

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

c = √89

c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)

The length of side c = 9.43.

Hope that helps.

Answer:

30°, 60° and 90°

Step-by-step explanation:

Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.

Note that a right angled triangle is made up of two acute angles and a right angled (90°)

Let's get one of the acute angles first

If Arccos (√3/2)=β

β = cos^-1 √3/2

β = 30°

This shows that one of the acute angles is 30°

To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.

90+30+x = 180

120+x = 180

x = 180-120

x = 60°

All the angle measurement for the right angled triangle are 30°, 60° and 90°

Answer: 3 x minus 3 + 4 = 2 minus x minus 3

              3 x + 1 = negative x minus 1

Step-by-step explanation:

             A and D. Edge 2020

The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.

Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.

The equation is the relationship between variables and represented as[tex]y = ax +b[/tex]  is an example of a polynomial equation.

Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
                  4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
               x = -1/2

Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.

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Answer:

5x-18 this angle is equal to 92

3x+22 this angle is equal to 88

angle a=88

angle b=92

Step-by-step explanation:

set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22

angle b will be equal to the angle 5x-18

Answer:

The value of x is22°, a is 88° and b is 92°.

Hope it helps..

Step-by-step explanation:

you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.

so to find x and y intercept

y=25x+3. to find x intercept designate y as zero

0=25x+3

-3=25x

x= -3/25. p( -3/25,0)

y=25x+3 to find y intercept designate x as zero

y=25(0)+3

y=3. p(0,3)

the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.

Answer:

25°

Step-by-step explanation:

Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:

∠DBC + ∠ABD = 180°

130 + ∠ABD  = 180°

∠ABD = 180° - 130°

∠ABD = 50°

∠ABD  is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).

The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW

Since E is the interior of ∠ABD, then:

∠ABD = ∠EBA + ∠DBE

But ∠EBA = ∠DBE

∠ABD = 2∠EBA

50 = 2∠EBA

∠EBA = 25°

Answer:

Answer:

y = -5x - 9.

Step-by-step explanation:

(-2, 1)

(0, -9)

(1 - -9) / (-2 - 0) = (1 + 9) / (-2) = 10 / (-2) = 5 / (-1) = -5

Since -5 is the slope, and the y-intercept is at (0, -9), we have an equation of y = -5x - 9.

Hope this helps!

Answer:

y=-5x-9

Step-by-step explanation:

Change in x = +2

Change in y=-10

-10/2=-5

m=-5

plug in an point

example:

1=-5(2)+B

B=-9

To check your answer:

y=-5x-9

plug in an point for x given on the chart:

-5(0)-9=-9

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Following are the description of the given points:

(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.  

(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.  

(c) its sample is objective to its everyone can enter the test in equal measure.

Answer:

p < 2

Step-by-step explanation:

9p + 23 < 41

p < 2

Answer:

p < 2

Step-by-step explanation:

9p + 23 < 41

9p < 18

p < 2

by bargaining with the owner, vying for discounts or insisting on multiple products for a complimentary value deal

Answer:

The Horizontal Asymptote is at x=3

Step-by-step explanation:

Here is a way to remember this

One way to remember this is the following pnemonic device: BOBO BOTN EATS DC

EABOBO -Exponents are bigger on bottom, y=0

EABOTN -Exponents are bigger on top, none

EATS DC - Exponents are the same, divide coefficients

3/x-2 the exponents are the same, divide leading coefficients

3/1 = 3 the horizontal asymtote is at x=3

Answer:

False

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by b )

[tex]\frac{2A}{b}[/tex] = h

Answer:

5

Step-by-step explanation:

The initial value is when x=0

When x=0, y =5

The initial value is 5

Answer:

803.84yd²

Step-by-step explanation:

Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]

We are given the radius of 8 yards.

Using 3.14 for pi:

[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]

The correct answer should be 803.84yd².

Brainilest Appreciated.

Answer:

803.84 yd^2

Step-by-step explanation:

4*3.14*8^2

12.56*64

803.84

brainliest pls

hope i helped

           -ZYLYNN

Answer:

3.

A. Y = 2x + 30  (red line)

B. Y=5x  (blue line)

C. Y=70  (green line)

From 0 to 10 days, choose option B (shown on graph)

From 10 to 20 days, choose option A (first option)

From 20 days and more, choose option C.

4.

surface area of label = 471.2 cm^2

Step-by-step explanation:

Q1718436 Math Camp

2. At Math Camp, students can either pack their own lunch every day or buy lunch at camp. If they want to buy lunch there are 3 options:  

Option A: they pay an initial fee of $30 and lunches cost $2 each  

Option B: shown on the graph  

Option C: they pay a flat fee of $70 which includes all lunches  

Write an equation for each option. (3 marks) Option A: Option B: Option C:  

A. Y = 2x + 30  (red line)

B. Y=5x  (blue line)

C. Y=70  (green line)

b) Describe under what conditions, a student should choose each option. (Hint: you may want to graph all 3 lines on the same axes) (4 marks)  

Choose Option A if: Choose Option B if: Choose Option C if:  

Least cost is what is below the lowest possible line for the number of days stayed.

From 0 to 10 days, choose option B (shown on graph)

From 10 to 20 days, choose option A (first option)

From 20 days and more, choose option C.

Note that for days 10 and 20, there are two choices each.

3.  

4. A Campbell’s Soup can is 15cm tall and has a radius of 5 cm. How much paper is needed to make the label (think about what the label covers)? (3 marks) How much soup can this hold? (1 cm3 = 1 mL) (3 marks)

The label only covers the curved surface.

Curved surface area  

= 2 pi * r * h

= 2 pi (5) * 15

= 150 pi

= 471.2 cm^2