Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about -39°C. If the temperature of a block of mercury starts at -54°C and increases by 22°C, does the mercury melt?

Answer:

([tex]\frac{3}{5}[/tex] b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus

y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = [tex]\frac{3}{5}[/tex] b , thus

x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )

Answer:

( b, 0 )

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

Answer:

[tex]h=13\,\sqrt{3}[/tex]

[tex]x=52[/tex]

Step-by-step explanation:

Using the triangle formed in the far left, we can use the Pythagorean theorem to solve for h:

[tex]h^2+a^2=y^2\\h^2+39^2=(26\,\sqrt{3} )^2\\h^2=26^2\,(3)-39^2\\h^2=507\\h=\sqrt{507}\\h=13\,\sqrt{3}[/tex]

Now, using the right angle triangle on the right we solve for x:

[tex](x-a)^2+h^2=z^2\\(x-39)^2+507=26^2\\(x-39)^2=676-507\\(x-39)^2=169\\x-39=+/-13\\x=26\,\,\,or\,\,\,x=52[/tex]

since x has to be larger than "a" (39), we use the second answer:

[tex]x=52[/tex]

Answer:

-2

Step-by-step explanation:

The slope formula is

m = ( y-2-y1)/(x2-x1)

Using two points on the line  (0,4) and  (2,0)

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

   = -4/2

  =-2

Answer:

-2

Step-by-step explanation:

Slope is change in y over change in x

the change in y is -2 and the change in x is 1 so you do -2/1 and that as a whole number is -2.

Answer:

Explanation:

We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.

From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.

Hence, Given relation is not a function.

Hope this helps...

Good luck on your assignment...

Step-by-step explanation:

I believe the answer is

The fuction roughly matches the data

Answer:

The function fits very well

Step-by-step explanation:

The equation for the stats is

y=-0.039866x²+3.99375x-0.4785714

Answer:

i have a Similar question I’m stuck on, just remember z rule, vertically opposite etc.

Answer:

9m(n)^3 +14m(n)^2

Step-by-step explanation:

6m(n)^3 - m(n)^2 + 3m(n)^3 + 15m(n)^2

=> 6m(n)^3 + 3m(n)^3 + 15m(n)^2 - m(n)^2

=> 9m(n)^3 +14m(n)^2

Answer:

The correct option is;

Because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP

Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.

The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.

These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.

This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.

Read more about Congruent angles here https://brainly.com/question/1563325

#SPJ2

Answer:

1. f(-1) = -6

2. f(0) = -5

3. f(1) = -4

4. f(2) = -3

5. f(5) = 0

6. f(8) = 3

Step-by-step explanation:

1. f(-1)=-1-5=6

substitute the x value into the equation.

2. f(0)=0-5=-5

3. f(1)=1-5=-4

4.f(2)=2-5=-3

5. f(5)=5-5=0

6. f(8)=8-5=3

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Answer:

8 hopefully

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do [tex]\dfrac{1}{5}[/tex] of job = 2 hours

i.e. Time for complete job done alone by Kelly =[tex]5\times2=10\ hours[/tex]

Rest of work = [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job

[tex]\dfrac{4}{5}[/tex]  of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = [tex]3\times\dfrac{5}{4}=3.75\ hours[/tex]

Let t be the time taken by Annette to do job alone.

Then, as per situation

[tex]\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6[/tex]

hence, Annette will take 6 hours to do the entire job alone.

Answer:

3 seconds

Step-by-step explanation:

Given the function :

h(t) = 16t2 - 144.

h = height = 144 and t = time after t seconds the ball penny was dropped.

When the penny lands, h = 0

Therefore, our function becomes ;

16t2 - 144 = 0

The we can solve for t

16t^2 - 144 = 0

16t^2 = 144

Divide both sides by 16

(16t^2 / 16) = 144 / 16

t^2 = 9

Take the square root of both sides

t = 3

Therefore, the time between when the rock was dropped and when it landed is 3seconds

Answer:

t = 3 seconds

Step-by-step explanation:

Answer:

The average rate of change from x=-7 to x=-5 is -3

Step-by-step explanation:

In order to calculate average rate of change we would have to make the following calculation:

According to the given data we have the following:

x=-7 so, f(-7) is to be calculated in the graph y

x=-5 so, f(-5) is to be calculated in the graph y

Therefore, average rate of change=f(-5)-f(-7)/-5-(-7)

average rate of change=3-9/2

average rate of change=-6/2

average rate of change=-3

The average rate of change from x=-7 to x=-5 is -3

The average rate of change of a function is the unit change of the function.

The average rate of change from x = -7 to x = -5 is -3

The average rate of change is calculated as:

[tex]\mathbf{f'(x) = \frac{f(b) - f(a)}{b - a}}[/tex]

The interval is given as: x = -7 to x = -5.

This means that:

a = -5 and b = -7

So, we have:

[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-7 - -5}}[/tex]

This gives

[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-2}}[/tex]

From the graph

f(-7) = 9 and f(-5) = 3.

So, we have:

[tex]\mathbf{f'(x) = \frac{9 - 3}{-2}}[/tex]

Subtract

[tex]\mathbf{f'(x) = \frac{6}{-2}}[/tex]

Divide

[tex]\mathbf{f'(x) = -3}[/tex]

Hence, the average rate of change from x = -7 to x = -5 is -3

Read more about average rate of change at:

https://brainly.com/question/23715190

Answer:

8

Step-by-step explanation:

Let's denote the number of members ordered chicken a, the number of members ordered beef b.

We have:

a + b = 12 (total number of members is 12)

10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)

a + b = 12 => a = 12 - b

Substitute a into second equation, we have:

10(12 - b) + 14b = 136

=> 120 - 10b + 14b = 136

=> 4b = 16

=> b = 4

=> a = 12 - b = 12 - 4 = 8

=> Number of members ordered chicken: a = 8

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

Answer: E. 1.561.

Step-by-step explanation:

Given, Total choices for each question =4

Probability that a particular answer is correct : p = [tex]\dfrac{1}{4}=0.25[/tex]

Sample size : n= 13

Formula for standard deviation: [tex]\sigma=\sqrt{np(1-p)}[/tex]

Put all values, we get

[tex]\sigma=\sqrt{13(0.25)(1-0.25)}=\sqrt{13(0.25)(0.75)}[/tex]

[tex]\sigma=\sqrt{2.4375}\approx1.561[/tex]

Hence, the standard deviation is 1.561.

So, the correct option is E.

Answer:

$32

Step-by-step explanation:

the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.

Answer:

$32

Step-by-step explanation:

discount is $8

answer = no it does not measure a rate

Answer:

NO

Step-by-step explanation:

Percent is just a number out of 100

Answer:

Answer:

B. 259.8 u²

Step-by-step Explanation:

The area of a regular hexagon is given as:

[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]

[tex] Area = \frac{3\sqrt{3} }{2}* 10^{2} [/tex]

[tex] = \frac{3\sqrt{3} }{2}* 100 [/tex]

[tex] = \frac{3*1.7321 }{2}* 100 [/tex]

[tex] = \frac{5.1963 }{2}* 100 [/tex]

[tex] = \frac{519.63 }{2} [/tex]

[tex] Area = 259.815 [/tex]

The area of the regular hexagon ≈ 259.8 u²

Answer: Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r is the radius

Given, Diameter of Hernandez family's pizza = 20 inches

Radius = [tex]\dfrac{20}{2}[/tex] = 10 inches

Area of Hernandez family's pizza  = [tex]\pi (10)^2=100\pi \text{ in.}^2[/tex]

Since, they divide pizza into 15 pieces , area of each slice = [tex]\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2[/tex]

They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)

= [tex]12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2[/tex]

Diameter of Mullins family's pizza = 12 inches

Radius = [tex]\dfrac{12}{2}[/tex] = 6 inches

Area of Mullins family's pizza  = [tex]\pi (12)^2=144\pi \text{ in.}^2[/tex]

Since, they divide pizza into 8 pieces , area of each slice = [tex]\dfrac{144\pi}{8}=18\pi\text{ in.}^2[/tex]

They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)

= [tex]2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2[/tex]

Since, [tex]\dfrac{36\pi}{80\pi}=\dfrac{9}{20}[/tex]

Hence, Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Answer:

1. r = 2.82 cm

h = 5.6 cm

The maximum volume possible to the nearest 10 mL = 140 mL

2. Size side of square base of box is 5.64 cm

Height of box = 5.6 cm

The surface area of the box is 189.96 cm²

The volume of the box is 178.13 cm³

3.  The procedure for solving the problem was through noting that the shape of the cross-section of the pyramid is an isosceles triangle ans also that smallest possible box for the pretty perfume is one which fits the angle of inclination of the lid. This was found out by initially using the combined height of the perfume and the lid (placed to fit the spherical outline of the bottle) to calculate the dimensions of the pyramid, from which it was observed that the angle of inclination of the lid is larger than that of the calculated dimension, such that the lid outline would be visible and could eventually tear the perfume box  

With the inclination angle, β, which is the base angle of the isosceles triangle, the angle at the top of the pyramid cross-section is calculated and the following relations are used to calculate the triangular cross-section of the pyramid

h = a·cos(α/2)

b = 2·a·cos(β)

[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]

[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]

With the calculated dimensions, a, b, and h the area, A, of the square pyramid is calculated as 2×b×a + b² and the volume, V, as 1/3×b²×h

The attached diagram shows the the cross-section of the perfume in the pyramid box.

Step-by-step explanation:

1. The surface area of the cylinder = 2πr² + 2πrh = 150 cm².........(1)

The volume of the cylinder, V = πr²h = 100 mL = 100 cm³..............(2)

From equation (2), h = 100/(π·r²)

Substituting the value if h in equation (1), we have;

2πr² + 2πr100/(π·r²) = 150

2πr² + 200/r = 150

(2πr³ + 200)/r = 150

2πr³ + 200 = 150×r

2πr³ -150·r+ 200 = 0

150 = 2πr² + 2πrh

h = (150 - 2πr²)/(2πr)

h = (75- πr²)/(πr)

Substituting the value of h in the equation for the volume, we have;

V = πr²h =  πr²(75- πr²)/(πr)

V = 75·r - π·r³

At maximum volume, dV/dr = 0, we have

d(75·r - π·r³)/dr = 75 - 3·π·r²= 0

3·π·r²= 75

π·r² = 25

r = 5√π/π

h = (75- πr²)/(πr) = (75- π(5√π/π)²)/(π(5√π/π)) = (75 -25)/(5·√π)

h = 50/(5·√π)= 10·√π/π

The maximum volume = πr²h = π×25/π×10·√π/π =  250·√π/π = 141.05 cm³

The maximum volume possible = 141.05 cm³ = 141.05 mL

The maximum volume possible to the nearest 10 mL = 140 mL

The dimensions of the bottle are;

r = 2.82 cm

h = 5.6 cm

The surface area of the bottle = 2π(2.82)² + 2π×2.82 ×5.6 = 149.2 cm

2

Given that the cylindrical bottle has r = 2.82 cm and h = 5.6 cm, we have;

Size side of square base of box = 2 × 2.82 = 5.64 cm

Height of box = 5.6 cm

The surface area of the box = 2 × Area of base + 4 × Area of side

The surface area of the box = 2 *5.64^2 + 4 * 5.6 * 5.64 = 189.96 cm²

The volume of the box = Area of base × Height = 5.64^2*5.6 = 178.13 cm³

3. Diameter of spherical bottle = 7 cm = 2×r

Volume of the sphere  bottle = 4/3πr³ = 4/3*3.5^3*π = 343/6·π = 179.6 cm³

The surface area of the sphere  bottle = 4πr² = 4*(7/2)^2*π = 49·π = 156.94 cm²

3 i. The volume of a cone = 1/3πr²h = 1/3*(5/2)^2*4.5 = 9.385·π = 29.45 cm³

The  surface area of a cone = πrS

S = √(4.5^2 + (5/2)^2) = 5.15

The  surface area of a cone = π*2.5*5.15 = 40.43 cm²

3 ii. The depth of fitness of the lid on the bottle = 7/2 - √(7/2)^2 - 2.5^2) = 1.05

The total height of the spherical bottle with the conical lid = 7 + 4.5 - 1.05 = 10.45 cm

3 iii. Given that the box is shaped like a pyramid we have;

Width of the box at middle of the height of the spherical bottle = 7 cm

Height of the box = 10.45 cm

[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]

[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]

With the aid of a graphing calculator, the width of the square pyramid is found to be 12.12 cm

The volume = 1/3*12.12^2*10.45 = 511.68 cm²

The surface area = 2*12.12*√(12.12/2)^2 + 10.45^2) +12.12²= 439.7 cm²

The angle of inclination of the lid = tan⁻¹ (4.5/2.5) = 60.95°

The angle of inclination of the calculated box is tan⁻¹ (10.45/6.06) = 59.88

Since the lid is steeper, we make use of the angle of the lid

The base angles are thus = 60.95°

The angle at the top is thus 180 - 60.95*2 = 58.11°

Therefore, by the formula, we find that

a = 12.25 cm

b = 11.897 cm

h = a·cos(α/2)

h = 10.707 cm

The volume = 1/3*11.897^2*10.707 = 505.15 cm³

The surface area = 2*11.897*√(11.897/2)^2 + 10.707^2) +11.897²= 432.98 cm²

The angle at the top of the box = 2

Given that:

Then the maximum volume possible to the nearest 10 mL =

Given that:

Hence, the surface area of the box is

The volume of the box is :

This refers to the measure of the total area of an object.

The procedural method used to solve the problem was to identify the shape of the pyramid, then finding out the smallest possible box for the pretty perfume and then using the calculated dimensions, found the answers.

Read more about surface area here:
https://brainly.com/question/76387

Each tick on the graph represents a single unit.

Thus, counting the ticks, we see that the graph starts at x=2. We also see that the graph ends at x=5.

Thus, the domain is [tex]2 \leq x \leq 5[/tex]

Let me know if you need any clarifications, thanks!

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

Answer:

36 ft.

Step-by-step explanation:

11+11+7+7=

22+14= 36

Answer:

36 ft

Step-by-step explanation:

The rectangle's sides lengths are 7 ft and 11 ft, wich are the width and the length.

The formula of the perimeter is:

P= 2w+2L with w the width and L the length

P= 2*7+2*11

P= 14+22

P= 36 ft

The perileter is 36 ft

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

[tex]-16t^2<-64[/tex] then divide both sides by -16:

[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

Answer:

A on edg

Step-by-step explanation:

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation: