he highest elevation in a country is a​ mountain, with an altitude of 14,309feet. The lowest elevation in the country is a​ valley, with an altitude of 288 feet below sea level.

Answer:

          2

a =  -  ------

         15

Step-by-step explanation:

15 a = -2  (divide 15 on each side)

15a           2

-----  =  - ------

15            15

          2

a =  -  ------

         15

Answer:

11.

Step-by-step explanation:

1011 is a number in binary.

To convert 1011 from base 2 to base 10...

1(2^3) + 0(2^2) + 1(2^1) + 1(2^0)

= 1(8) + 0 + 1(2) + 1(1)

= 8 + 2 + 1

= 11

Hope this helps!

Answer:

18 seconds

Step-by-step explanation:

Given the equation for height as a function of time expressed as

h(t) = -16t² - initial height, if initial height is 5,184ft, the expression will become;

h(t) = -16t² - 5,184

t is  time in seconds

h(t) is height in feet

The height of the rope on the ground is zero. In order to calculate the amount of seconds it will take the  piece of rope to hit the ground, we will substitute h(t) = 0 into the modeled equation as shown:

Since the body falls downwards (negative direction), initial height = -5184 ft

h(t) = -16t² - -(5,184)

0 = -16t² + 5,184

0+16t² = 5184

16t² = 5184

16t²/16 = 5184/16

t² = 324

t = √324

t = 18 seconds

Hence, it will take the rope 18seconds to hit the ground.

Answer:18 seconds

Step-by-step explanation:just did the assignment

Answer: 5/33

Step-by-step explanation: There are 12 fruits and 5 are oranges.

If you draw an orange, then there are 11 fruits and 4 oranges. (5/12)x(4/11)=20/132 or 5/33 in simplest form.

Answer:

On average the size of the area of the forest burnt down every minute is 10117.14 m²

Step-by-step explanation:

The given parameters are;

The rate consumption of forest land by the fire = 25200 acres/week

Therefore, we have;

The number of minutes in one week = 60 × 24 × 7 = 10080 minutes

Therefore;

The rate consumption of forest land by the fire per minute = 25200/10080 acres/minute = 2.5 acres/minute

The number of square meters in one acre is given as follows;

1 acre = 4,046.856 m²

Therefore;

2.5 acres/minute = (2.5 × 4,046.856 m²/(1 acre)) acres/minute = 10117.14 m²/minute

Which give;

The rate consumption of forest land by the fire= 10117.14 m²/minute.

The rate of the fire consumption of the forest is 10117.14 m²/minute.

Answer:

D. 9 forks and 6 spoons

Step-by-step explanation:

Let's calculate how many forks and spoons were made.  We need to guess a pair of variable values that will add up to $24.60.  We'll do this by substituting all the possible pairs in:

Here's the pair for A:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 10)]

= [$14.40 + $14]

= $28.40

Is $28.40 equal to $24.60? No, this is not correct.

Here's the pair for B:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 8)]

= [$14.40 + $10.80]

= $25.20

Is $25.20 equal to $24.60? No, this is not correct.

Here's the pair for C:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 9)]

= [$16.20 + $12.60]

= $28.80

Is $28.80 equal to $24.60? No, this is not correct.

Here's the pair for D:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 6)]

= [$16.20 + $8.40]

= $24.60

Is $24.60 equal to $24.60? Yes, this is correct.

Therefore, we know the answer is (D) 9 forks and 6 spoons

We can also check by substituting these values to find the amount Trevon's Custom Kitchen Supplies earned last April:

[($4.60 * a) + ($5.40 * b)]

= [($4.60 * 9) + ($5.40 * 6)]

= [$41.40 + $32.40]

= $73.80

This is equal to the amount of money earned last April.

I hope this helps! Tell me if I'm wrong, please!

Answer:

[see below]

Step-by-step explanation:

[tex]7(1/8)+7(1/13)\\\\\text{Add Whole Numbers: }\\\\7 + 7 = 14\\\\\text {Add fractions: }\\\\ (1/8)+(1/13)\\\\LCM (8, 13): 104\\\\(13/104)+(8/104)\\\\(21/104)\\\\\\\text{Combine: }\\\\14 + (21/104)\\\\\boxed{14\frac{21}{104}}[/tex]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

                  [tex]\boxed {14\frac{35}{104}}[/tex]

Step 1 : Solving the fraction parts.

[tex]\frac{71}{8} + \frac{71}{13} = ?[/tex]

Find the LCD of 71/8 and 71/13 and rewrite to solve with the equivalent fractions.

LCD = 104

[tex]\frac{923}{104} + \frac{568}{104} = \frac{1491}{104}[/tex]

Simplifying the fraction part, 1491/104,

[tex]\frac{1491}{104} = 14\frac{35}{104}[/tex]

____________________

Solution by Formulas

____________________

Using the given fractions

[tex]\frac{71}{8} + \frac{71}{13}[/tex]

Applying the fractions formula for addition,

[tex]= \frac{(71 . 13) + ( 71 . 8 ) }{8 . 13}[/tex]

[tex]= \frac{923 . 568}{104}[/tex]

[tex]= \frac{1491}{104}[/tex]

Simplifying 1491/104, the answer is:

[tex]\boxed {14\frac{35}{104}}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point. Start at the origin.  Move 3 units right Move 6 units up Plot a point there.

Step-by-step explanation:

To plot the point, start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given point is  (3, 6).

The coordinate plane to plot the point (3, 6) is shown below.

To plot the graph of point (3, 6) on coordinate plane,

Start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

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Answer:

The local maximum and minimum values are:

Local maximum

[tex]g(0) = 0[/tex]

Local minima

[tex]g(5.118) = -350.90[/tex]

[tex]g(-1.368) = -9.90[/tex]

Step-by-step explanation:

Let be [tex]g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}[/tex]. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

[tex]g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)[/tex]

Then, first and second derivatives of the function are, respectively:

First derivative

[tex]g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)[/tex]

[tex]g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}[/tex]

[tex]g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x[/tex]

[tex]g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)[/tex]

Second derivative

[tex]g''(x) = 12\cdot x^{2}-30\cdot x -28[/tex]

Now, let equalize the first derivative to solve and solve the resulting equation:

[tex]x\cdot (4\cdot x^{2}-15\cdot x -28) = 0[/tex]

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

[tex]x\cdot (x-5.118)\cdot (x+1.368) = 0[/tex]

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

[tex]g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28[/tex]

[tex]g''(0) = -28[/tex]

This value leads to a local maximum.

x = 5.118

[tex]g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28[/tex]

[tex]g''(5.118) = 132.787[/tex]

This value leads to a local minimum.

x = -1.368

[tex]g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28[/tex]

[tex]g''(-1.368) = 35.497[/tex]

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

[tex]g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}[/tex]

[tex]g(0) = 0[/tex]

Local minima

[tex]g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}[/tex]

[tex]g(5.118) = -350.90[/tex]

[tex]g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}[/tex]

[tex]g(-1.368) = -9.90[/tex]

Answer:

Add -28 and -7 (2nd operation)

Step-by-step explanation:

42-(28+7)+111

Step 1: Remove the brackets

42-28-7-11

Step 2: Add 42 and 111( 1st operation ) you can also rewrite to avoid confusion

42+111-28-7

= 153-28-7

Step 3: Add -28 and -7 (2nd operation)

153-28-7

=153-35

Step 4 : Subtract

153-35

=118

Answer:

Is b

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2/3=8/x+6

Using cross products

2 * (x+6) = 3*8

2(x+6) = 24

Divide by 2

x+6 =12

Subtract 6

x = 6

Answer:

C

Step-by-step explanation:

Since he writes 120 words in 3 minutes, we know that Tom will write 120 / 3 = 40 words in 1 minute, therefore the ratio is 40 : 1. It's not 1 : 40 because the question is asking for the ratio of words typed to minutes, not minutes to words typed.

Answer:

22 is the avrage rate of elavation change in feet per second if a sumbarine dives 440 feet in 20 seconds

-22 is the avrage temature change in degrees

440 is the avrage distance in miles

2.20 is the boys height if that makes sense

Step-by-step explanation:

if it dosent make sent om sorry

Answer:

( -1, 15/2) or ( -1, 7 1/2)

Step-by-step explanation:

Formula: ( (x1 + x2)/2, (y1 + y2)/2 )

1. ( (-4 +6)/2, (8 + 7)/2 ) Plug in

2. ( -2/2, 15/2) Add/Subtract

3. ( -1, 15/2) or ( -1, 7 1/2) Divide

Answer:

Coordinates of the midpoint are: (1, 7.5)

Step-by-step explanation:

Find the distance between the x-values of the given points,and the distance between the y-values of them:

distance between 7 and 8 (y-values of N and A respectively) is: 8-7 = 1

then half of that is 0.5, therefore, the midpoint should have for y value the value of the minimum between 7 and 8 (7)  plus 0.5, that is, the y-value of the midpoint is: 7.5

Now for the x-value of the midpoint we do something similar:

The distance between 6 and -4 (x-values of B and A respectively) is: 10 units, half of this is 5, and therefore, the x-value of the midpoint should be at the minimum of those two values (-4) plus 5 units, that is: -4 + 5 = 1

Coordinates of the midpoint are: (1, 7.5)

Answer:

answer is on the sheet photo

Step-by-step explanation:

y is the number of gallons left in the tank.

x is the number of hours you have been driving

Rate of consumption of gas

= (18 - y / x)

= 5 / 3 gallon per hour

= 6.309 L / hr

The rate at which your truck is using gas is 5/3 gallons per hour.

The rate at which your truck is using gas is calculated as follows;

Given that after 6 hours of driving, you have 8 gallons left in the tank, we can set up the following equation using the two given data points:

(Initial gallons - Remaining gallons) / (Initial time - Time elapsed) = (Change in gallons) / (Change in time)

The equation becomes;

Rate = (18 gallons - 8 gallons) / (6 hours - 0 hours)

Rate = (18 - 8) / 6

Simplifying this equation, we get:

Rate = 10 / 6

Rate = 5 / 3

Therefore, the rate at which your truck is using gas is 5/3 gallons per hour.

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Answer :

[tex] {ab}^{3} [/tex]

The correct answer is C. $ 9.38

Explanation:

The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:

1. Write the amounts given

[tex]\frac{1}{4}[/tex]  of [tex]88[/tex]

2. Divide the number by the denominator (bottom number) and then multiply by the numerator

[tex]88[/tex] ÷ [tex]4 = 22[/tex]

[tex]22 x 1 = 22[/tex]

This means the discount was  $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)

1.  Write the values

66 = 100 (66 represents the total or 100%)

x   =  7 (7% is the value you want to know and the x represents the value is not known)

2. Cross multiply

x 100 = 462

3. Find x

x = 462 ÷ 100

x = 4. 62 ( value of taxes)

Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38

Answer:

A taxi travels at a constant speed of 50 miles per hour.

Hope this helps!

Answer:

5.1 cm² approximately

Step-by-step explanation:

A lighter= Area inscribed -1/2r² sin80°

A lighter=π r² (80°/360°) -1/2(5 cm)² sin 80°

A lighter=π(5cm)² (80°/360°) -1/2(5 cm)² sin 80°

A lighter=3.14*25cm²(80°/360°) - 12.5cm² sin 80°

A lighter=17.444…cm² - 12.31009... cm²

A lighter=5.13cm² approximately

Answer:    =approx 5.13  cm²

Step-by-step explanation:

Lets find the area of the region that is blue ( dark blue+light blue)

S= pi*r^2/360*80=pi*25*2/9=pi*50/9

The lighter region' s area is the S- S(triangle marked with dark blue)

The area of this triangle is r^2*sin(80°)/2= 25*sin(80°)/2=

=12.5*sin(80°)

So the required area  Sreg= pi*50/9-12.5*sin(80°)=

= approx 3.14*50/9-12.5*0.985=approx 5.13  cm²

Answer:

(1, -6)

Step-by-step explanation:

the layout of your question is kind of confusing, but i'm guessing this is the system of equations

x = -y - 5

-3x + 7y = -45

plug in x to the second equation

-3(-y - 5) + 7y = -45

distribute

3y + 15 + 7y = -45

combine like terms

10y = - 60

divide by 10

y = -6

plug y into first equation

x = -(-6) - 5

x = 6 - 5

x = 1

Answer:

It removes the repeating part of the decimal from the equation.

Step-by-step explanation:

Described here is the process of converting the repeating decimal fraction into fraction in the form of p/q

1) --------------

2) --------------

3) --------------

So the purpose of step 3 here is to remove the repeating part of the decimal from the equation

Correct option is the first one.

Answer:

multiply by 2

Step-by-step explanation:

5x2=10

10x2=20

Answer:

multiplying by 2 ........

Answer:

V(x) = l*w*x  - 2*l*x² - 2*w*x² + 4*x³

Step-by-step explanation:

The volume of any box is:

a * b * h       where a is the length, b is the wide and h is the height

Assuming we have cardboard of dimensions: l * w

l - 2*x  will be length  of the box and  

w - 2*x will be wide of the box

h  =  x the height, then:

V(x) = ( l  -  2*x  ) *  (  w  -  2*x ) * x

V(x) = [ ( l*w - 2*l*x - 2*w*x + 4*x² ] * x

V(x) = l*w*x  - 2*l*x² - 2*w*x² + 4*x³

Answer:

$42

Step-by-step explanation:

Original price: $56

Discount: 25%

A discount of 25% means that the discount is 25% of the price of the item, so you need to subtract 25% of the price of the item from the original price of the item.

Let's find an expression for the amount of the discount.

25% of $56 = 25% * $56 = 0.25 * $56

The amount of discount is 0.25 * $56.

Now we subtract that amount form the original price of $56.

$56 - 0.25 * $56 = $56 - $14 = $42

Answer: The boots cost $42 on sale.

Answer:

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{3r - 6}[/tex]

▪️If there is a common factor in each term of an expression, the common factor can be taken as the factor with the remaining terms.

Here, taking 3 common

[tex] \sf{3(r - 2)}[/tex]

Hope I helped!

Best regards!!

Answer: 3(r - 2)

Step-by-step explanation: First, determine the Greatest Common Factor between the different terms in the polynomial.

The Greatest Common Factor between 3r and 6 is 3.

So a 3 factors out.

Inside the parenthses, we are left with each term divided by 3.

So we have 3(r - 2) as our final answer.

Answer:

Step-by-step explanation:

Definitely not.  -35 degrees is far below freezing (+32 degrees).  On the other hand, +35 degrees is very warm indeed.

No, the temperature of 35 degrees Fahrenheit is not as cold as a temperature of -35 degrees Fahrenheit.

We have temperature in degrees Fahrenheit.

We have to investigate - " Is a temperature of 35 degrees Fahrenheit as cold as a temperature of -35 degrees Fahrenheit ".

The formula is -

(°F − 32) × 5/9 = °C

According to the question -

Assume that -

A = 35°F = 1667 °C

B = -35°F = -37.2222 °C

The temperature 35°F represents very very high temperature (hot) whereas the  temperature  -35°F represents very very low temperature (cold).

Hence, No, the temperature of 35 degrees Fahrenheit is not as cold as a temperature of -35 degrees Fahrenheit.

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Answer:

63%

Step-by-step explanation:

Given the following :

Average cholesterol level or mean (m) = 194

Standard deviation (sd) = 15

what percentage of children have a cholesterol level lower than 199?

P(X < 199)

Assume a normal distribution :

Find the z-score :

Z = (score - mean) / standard deviation

Score = 199

Z = (199 - 194) / 15

Z = 5 / 15

Z - score = 0.3333

P(Z < 0.33) :

Using the z - table ; 0.33 = 0.6293

P(Z < 0.33) = 0.6293

0.6293 * 100% = 62.93%

= 63% (nearest whole percent)