The volume of a right rectangular solid is 384 ft3. Find the height of the solid, if the length is 3 times the width, and the height is twice the perimeter of the base.

Answer:

11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5

Step-by-step explanation:

11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-2\cdot x - 5\cdot y = -19[/tex]

[tex]2\cdot x +5\cdot y = 19[/tex]

[tex]5\cdot y = 19 - 2\cdot x[/tex]

[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]

The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]

[tex]m_{\perp} = \frac{5}{2}[/tex]

If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:

[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]

[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]

[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]

The right answer is D.

12) The function of the parallel line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\parallel}[/tex] - Slope, dimensionless.

Its slope is the slope of the given, which must be transformed into its explicitive form:

[tex]-8\cdot x + 5\cdot y = 89[/tex]

[tex]5\cdot y = 89 +8\cdot x[/tex]

[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]

The slope of the parallel line is [tex]\frac{8}{5}[/tex].

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:

[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]

[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]

The correct answer is B.

14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-5\cdot x +9\cdot y = 49[/tex]

[tex]9\cdot y = 49+5\cdot x[/tex]

[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]

The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]

[tex]m_{\perp} = -\frac{9}{5}[/tex]

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:

[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]

[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]

The correct answer is A.

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Answer:

A) $4.99b = $14.95

B) $4.99p = $c

C) $qd = $t

Step-by-step explanation:

A) We are told that cost of blueberries is $4.99 a pound.

Now, Diego buys b pounds of blueberries and pays $14.95.

Since 1 pound costs $4.99, then b pounds will cost $4.99b

Since he paid $14.95, then the equation is;

$4.99b = $14.95

B) We are told that cost of blueberries is $4.99 a pound.

Now, Jada buys p pounds of blueberries and pays $c.

Since 1 pound costs $4.99, then p pounds will cost $4.99p

Since he paid $c, then the equation is;

$4.99p = $c

C) We are told that cost of blueberries is $d a pound.

Now, Lin buys q pounds of blueberries and pays $t.

Since 1 pound costs $d, then q pounds will cost $qd

Since he paid $t, then the equation is;

$qd = $t

Answer:

9km

Step-by-step explanation:

If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).

This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).

Hope this helped!

Answer:

       B

Step-by-step explanation:

9 km

Answer:

x = 1/4x - 5

Step-by-step explanation:

Step 1: Translate from word to math

A number = x

five less = -5

one-fourth = 1/4

of itself = x

Step 2: Combine

x = 1/4x - 5

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

Answer:

R(-2,-1)

S(-1,-5)

T(2,-3)

Step-by-step explanation:

First, you flip all coordinates to their exact points, just of the other side of the y-axis.

Then, you just gotta graph it and rotate it 180* around the origin.

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

can I get brainliest

Answer:

0.32

Step-by-step explanation:

Its bigger because if you turn 1/4 into a fraction it's 0.25

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

Answer:

300 m^2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

Answer:

The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range

4 < 1/y < 8

Step-by-step explanation:

The given information are;

The range of values of y are 0.125 < y < 0.25, therefore, we have;

The boundaries of the function, y are 0.125 and 0.25

The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4

Therefore;

The limits of the inverse of the function y are ;

The inequality that represents 1/y is therefore;

1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8

The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;

4 < 1/y < 8.

Answer:

[tex]d=\sqrt{58}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the length of AB:

[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(7)^2+(3)^2}[/tex]

[tex]d=\sqrt{49+9}[/tex]

[tex]d=\sqrt{58}[/tex]

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]

Hence, the e=required probability is 0.9973 .

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:          

I used the protactor and  I aligned it agaist the problem. Hope this helps. :)  

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow  pointed onto the number.  I really don't think there is much to explain. If their is any confusion i will re-write it.

Answer:

the answer for this question is 110

Answer:

I'm not sure if this is what your looking for but the answer should be √11

Step-by-step explanation:

its in the picture....

please do give me brainliest if i was able to help you.

thank you and have a good day

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

Step-by-step explanation:

length(l)= 30cm

Breadth(b)=15cm

Area=l×b

=30×15

=450cm^2

it is 30 then 15 cm long its mean 45 answer

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

Answer:

15.1c + 6.4d - 11.5

Step-by-step explanation:

Given the following :

Lengths of the side of a triangle :

(6.4c-2.5) centimeters

(8.7c-7.8) centimeters

(6.4d-1.2) centimeters

Assume the sides Given are labeled A, B and C respectively,

The perimeter of a triangle is related vyvtge formula :

Perimeter = (A + B + C)

Perimeter = (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= 6.4c - 2.5 + 8.7c - 7.8 + 6.4d - 1.2

= 6.4c + 8.7c + 6.4d - 2.5 - 7.8 - 1.2

= 15.1c + 6.4d - 11.5

Answer

The answer is 0

Answer:

9.

Step-by-step explanation:

The square root of 81 is 9 so therefore the answer is 9.