Why are units of area inappropriate to measure volume? A) Units of area are too small to measure volumes. B) Units of area are too large to measure volumes. C) Area is a two-dimensional attribute and volume is a three-dimensional attribute. D) Area is a three-dimensional attribute and volume is a two-dimensional attribute.

2x/3=8

2x=24

x=12

It takes Molly 12 minues to run one mile.

First thing to do is solve the given equation for v

-11v-7 = 4

-11v = 4+7

-11v = 11

v = 11/(-11)

v = -1

Once we know this, we can use it to compute the following

7v-10 = 7*(-1) - 10 = -7 - 10 = -17

--------------------------------

Answer: -17

To prove that m

To prove that m<QPS = m<TPV, we need to use the given information and apply the congruent triangles theorem. Let's assume that <QPS = <TPV. From the given information, we can determine that <QPS = I and <TPV = V. Since the angles are congruent and the corresponding sides are proportional, we can conclude that m<QPS = m<TPV.

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Answer:

Water = 1/5 of the volume of the syrup

Step-by-.step explanation:

Suppose we had  1000 cm^3 of syrup  and the new volume after adding water is x cm^3.  Now the amount of sugar stays the same so we have the equation 35 * 1000 =  25 * x

x = (30 * 1000) / 25 =  30,000 / 25

= 1200 cm^3

So we need to add 200 cm^2 of water .

In general terms,  we need to add water which equals 1/5 of the volume of the syrup,

Answer:

2/3 < 4/5

Step-by-step explanation:

because:

2/3 = 0.666

4/5 = 0.8

Answer:

Correct choice is 4.

Step-by-step explanation:

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work, then he travels with speed

[tex]\dfrac{30}{58.2}=\dfrac{300}{582}=\dfrac{50}{97}\ \text{miles per minute}.[/tex]

If 1 mile = 5,280 feet, then his speed is

[tex]\dfrac{50}{97}\cdot 5280=\dfrac{264000}{97}\ \text{feet per minute}.[/tex]

Since 1 minute = 60 seconds, then his speed is

[tex]\dfrac{264000}{97\cdot 60}=\dfrac{4400}{97}\approx 45.36\ \text{feet per second}.[/tex]

Answer:

45.36 feet ps IS THE ANSWER AND NOW GO AND SOLVE IT

Answer:

Hello from MrBillDoesMath!

Answer:

p = 12

Discussion:

Assume we have a right trainload (looks like it but no angle indication given).  By the Pythagorean Theorem

p^2 + 5^2 = (p+1) ^ 2          =>

p^2 + 25 = p^2 + 2p + 1     =>

25 = 2p + 1                          =>         (subtract p^2 from both sides)

25 -1 = 2p                            =>         (subtract 1 from both sides)

24 = 2p =>

p = 24/2 = 12                       =>         (divide both sides by 2)

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer: (-5/4, 3/4) = (-1 1/4, 3/4)

Step-by-step explanation:

Left of y axis means x coordinate is negative

Above x axis means y coordinate is positive

Assume the vague description means there are 17 gridlines from -2 to 2,

-2.0, -1.75, -1.5, -1.25, -1.0, ..., 1.75, 2.0

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

[tex]f(x)=ax+b[/tex]

Where, a and b are positive numbers.

The given function is the slope intercept form of a linear function. Where a is the slope and b is y-intercept.

Since slope is positive therefore function approaches to infinity as x approaches to infinity and function approaches to negative infinity as x approaches to negative infinity.

It is also proved by using limits.

[tex]lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}(ax+b)[/tex]

Apply limits.

[tex]lim_{x\rightarrow \infty}f(x)=a(\infty)+b=\infty[/tex]

Similarly,

[tex]lim_{x\rightarrow -\infty}f(x)=lim_{x\rightarrow -\infty}(ax+b)[/tex]

Apply limits.

[tex]lim_{x\rightarrow -\infty}f(x)=a(-\infty)+b=-\infty[/tex]

Therefore option 2 is correct.

[tex]f(x)\rightarrow \infty \text{ as }x\rightarrow \infty[/tex]

[tex]f(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]

Answer:

(x, y ) = (3, 14 )

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

7x - 7 = 6x - 4 ( subtract 6x from both sides )

x - 7 = - 4 ( add 7 to both sides )

x = 3

substitute x = 3 into either of the 2 equations for y

using y = 6x - 4 = (6 × 3 ) - 4 = 18 - 4 = 14

solution is (3, 14 )

It is 2.5 not what the other dude said it was

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

x=216.2198187 mi

x=216.22 mi

The distance from the point P to the Earth’s horizon distance is approximately 216.22 mi.

To find the distance from the point P to the earth's horizon, we can use the concept of the earth's curvature.

The distance from the center of the earth to point P is the radius of the earth plus the distance from the center to the surface, which is 3959 + 3964.9 = 7923.9 miles.

The distance to the horizon can be found using the formula for the horizon distance, which is approximately equal to the square root of two times the product of the earth's radius and the total distance from P to the surface of the earth.

So, x = sqrt(2 * 3959 * 7923.9) = 216.22 mi.

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The probable question may be:

In the Earth center the radius of the earth is 3959 mi

P is a point outside the circle

the distance from center of the earth surface to point P is 3964.9 mi  and the distance to the earth’s horizon from point P is x ?

Find x

Answer:

9

Step-by-step explanation:

135 / 15

ΔAED is the equilateral triangle. Therefore AH is a height of this triangle.

The formula of a height of an equilateral triangle:

[tex]h=\dfrac{a\sqrt3}{2}[/tex]

We have a = 5. Substitute:

[tex]\boxed{AH=\dfrac{5\sqrt3}{2}}[/tex]

You can use the Pythagorean theorem.

[tex]EH^2+AH^2=AE^2\\\\\left(\dfrac{5}{2}\right)^2+AH^2=5^2\\\\\dfrac{25}{4}+AH^2=25\\\\AH^2=25-\dfrac{25}{4}\\\\AH^2=\dfrac{100}{4}-\dfrac{25}{4}\\\\AH^2=\dfrac{75}{4}\to AH=\sqrt{\dfrac{75}{4}}\\\\AH=\dfrac{\sqrt{75}}{\sqrt4}\\\\AH=\dfrac{\sqrt{25\cdot3}}{2}\\\\\boxed{AH=\dfrac{5\sqrt3}{2}}[/tex]

If Circle A has a radius with the length of 5 units then the  exact length of the apothem is 5√3/2

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Circle A has a radius with the length of 5 units.

We have to find the length of apothem

The formula of a height of an equilateral triangle

h=a√3/2

We have a = 5. Substitute:

h=5√3/2

Apply Pythagorean theorem.

(5/2)²+AH²=5²

25/4+AH²=25

AH²=25-25/4

AH²=75/4

Take square root on both sides

AH=5√3/2

Hence, if Circle A has a radius with the length of 5 units then the  exact length of the apothem is 5√3/2

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The answer is $18,673.25

The limit of any constant function is the value of the constant, so the limit is just 5.

For this case we have that by definition:

The limit of a constant function of the form [tex]y = f (x)[/tex], where [tex]f (x) = c[/tex], is the same constant, whatever the value to which the limit tends.

Thus, the limit of "5" when x tends to "2", results in "5".

Answer:

5

Option A

Answer:

for imagine math it is the top left corner choice that says 1 with two lines coming from it and then a 2 and 3 from each line and so on until 6

Step-by-step explanation:

On Imagine math, It is the very first choice, with the 1 at the top and then the 2 and the 3, then the 4 and 5 and 6. Hope this helped!

Step-by-step explanation:

Answer:

Red grapefruit costs more per pound.

Step-by-step explanation:

Red grapefruit

y =2x

This is in the form y= mx+b  where m is the slope and b is the y intercept

The cost per pound is the slope, which is 2

The cost per pound is $2

Pink grapefruit

We need to find the slope

We have 2 points (0,0) and  (4,4)

m = (y2-y1)/(x2-x1)

   = (4-0)/(4-0)

   =4/4

  = 1

The slope is 1

The cost per pound is $1

Answer:

The red grapefruit.

Step-by-step explanation:

Let's think for a moment about what the equation [tex]y=2x[/tex] represents. For any value of x, our y is going to be double that. What do our y and our x represent, then? We're told that y represents the cost of the red grapefruit, and that x is the weight of that grapefruit in pounds. What our equation then tells us is that the cost (in dollars) of red grapefruit is always twice as much as its weight.

What about the pink grapefruit? Instead of an equation, we're given a line on a coordinate grid. Let's see if we can find a pattern here. The y axis is still cost, and the x axis is still weight. We see at the very beginning that when x = 0, y = 0 too. Finding a few more points, we can see that when x = 1, y = 1; when x = 2, y = 2; and when x = 3, y = 3. This pattern continues, and we can capture it with the equation [tex]y=x[/tex].

Comparing the two equations [tex]y=2x[/tex] (red grapefruit) and [tex]y=x[/tex](pink grapefruit) we can see that the cost of red grapefruit grows twice as fast as pink grapefruit. To see which one costs more per pound, we can simply set x = 1 to find that red grapefruit costs [tex]y=2(1)=\$2[/tex] per pound, while pink grapefruit costs [tex]y=\$1[/tex] per pound, and since [tex]\$2>\$1[/tex], the red grapefruit costs more.

Answer:

15/64 = 23.4 %

Step-by-step explanation:

Let's consider the first two selections. Let's call B the case in which she extracts a boy and G the case in whish she extracts a girl.

For each selection, the probabilty of event B (selecting a boy) is

[tex]P(B)=\frac{12}{32}=\frac{3}{8}[/tex]

While the probability of event G (selecting a girl) is

[tex]P(G)=\frac{20}{32}=\frac{5}{8}[/tex]

We are asked to find the probability that the first two events are B and then G:

[tex]P(B,G)[/tex]

In the first two selections, we have 4 possible combinations:

BB, BG, GB, GG

The probability for each combination is given by:

[tex]P(BB)=P(B)\cdot P(B) = \frac{3}{8}\cdot \frac{3}{8}=\frac{9}{64}=14.1 \%[/tex]

[tex]P(BG)=P(B)\cdot P(G) = \frac{3}{8}\cdot \frac{5}{8}=\frac{15}{64}=23.4 \%[/tex]

[tex]P(GB)=P(G)\cdot P(B) = \frac{5}{8}\cdot \frac{3}{8}=\frac{15}{64}=23.4 \%[/tex]

[tex]P(GG)=P(G)\cdot P(G) = \frac{5}{8}\cdot \frac{5}{8}=\frac{25}{64}=39.1 \%[/tex]

The second one is the probability we are searching for, so the probability that she will select a boy first and then a girl is 15/64, or 23.4%.

Answer:

k=3

Step-by-step explanation:

Given equation is

[tex]x^2+y^2 -6y-12=0[/tex]

First we move -12 to the other side by adding 12 on both sides

[tex]x^2+y^2 -6y =12[/tex]

We apply completing the square method to get square form (y-k)^2

Lets take coefficient of y and then divide it by 2

-6 divide by 2  is -3

Then we square it (-3)^2 = 9

We add 9 on both sides

[tex]x^2+y^2 -6y + 9=12+9[/tex]

[tex]x^2+(y^2 -6y + 9)=21[/tex]

Now we factor,  y^2 - 6y +9 is (y-3)(y-3)= (y-3)^2

[tex]x^2+(y-3)^3=21[/tex]

Now we compare with x^2 + (y-k)^2 = 21 and find the value of k

The value of k = 3

Answer:

The answer is C.

Step-by-step explanation:

A. name of ray

B. name of line

C. name of line segment

D. length of segment

Answer:

B is the answer

Step-by-step explanation:

0.80 per ounce

1.25 ounces

Answer: y = 8ˣ

Step-by-step explanation:

y = bˣ  substitute the coordinate (1, 8) for x and y and solve for b:

8 = b¹  ⇒ 8 = b

**********************************************************************************

Answer: [tex]P = 10e^{.22t}[/tex], 1964

Step-by-step explanation:

[tex]P = P_{0}e^{kt}[/tex]

   = [tex]10e^{.22t}[/tex]

   = [tex]10e^{.22(24)}[/tex]

   = 1964

********************************************************************************

Answer: 10,147.47 ; 29,881.05

Step-by-step explanation:

[tex]A = Pe^{rt}[/tex]

   = [tex]9000e^{.06(2)}[/tex]

   = 10,147.47

[tex]A = Pe^{rt}[/tex]

   = [tex]9000e^{.06(20)}[/tex]

   = 29,881.05

Answer: (a) 5

Step-by-step explanation:

[tex]\lim_{x \to 2} 5[/tex] means what is the y-value when x = 2 .

The given equation is: y = 5 so the y-value is 5 for all values of x

Answer: (c) 13

Step-by-step explanation:

f(x) = x² + 5x

f'(x) = 2x + 5

f'(4) = 2(4) + 5

      = 8 + 5

      = 13

Answer: (c) 2

Step-by-step explanation:

The question is asking what the y-value is when x = -2.  The graph shows that the coordinate (-2, 2) is on the curve. So, when x = -2, y = 2.

Answer:

lim x→2   5     =5

The slope is 13

lim x→-2   x^2 -2  =2

Step-by-step explanation:

lim x→2   5     =5

The limit of a constant is the constant

f(x) = x^2 +5x

We need to take the derivative

f'(x) = 2x+5

Then evaluate the derivative at x=4  (4,36)

f'(4) = 2*4 +5

     = 8+5

    = 13

The slope is 13

lim x→-2   x^2 -2  =2

Looking at the graph, the value of the function at -2  is about 2

We can also calculate it   (-2)^2 -2 =  4-2 = 2

Answer:

Step-by-step explanation:

all you have to is 8x12 multiplied by 2 since there is 2 rooms which is 192

Answer:

16

Step-by-step explanation:

the 9 parts of the ratio is equivalent to 72 books

divide number of books by 9 to find one part of the ratio

[tex]\frac{72}{9}[/tex] = 8 ← 1 part of the ratio

2 parts = 2 × 8 = 16 ← number of bookmarks sold