If you run a 10 km race in 43 minutes 30 seconds, what is your average time per mile? What is your average speed in mph? Hint: there are 1.61 km in a mile.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x /2 −12=−14

1 /2 x+−12=−14

1/ 2 x−12=−14

Step 2: Add 12 to both sides.

1 /2 x−12+12=−14+12

1 /2 x=−2

Step 3: Multiply both sides by 2.

2*( 1 2 x)=(2)*(−2)

x = −4

Answer:

-1

Step-by-step explanation:

step 1: X/2-12=-14

step2 : X/2=-14+12

step3 : X/2=-2

step4 : X=-2/2

step5 : X=-1

Answer: The speed of car B is 6.44 m/s

Step-by-step explanation:

Let's define:

Sa = Speed of car A.

Sb = Speed of car B.

I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)

Then we can write the positions of each car as:

Pa(t) = Sa*t

Pb(t) = Sb*t + 174m.

We also know that Sa = 2*Sb.

And we know that at t= 27s, car A passes car B.

Then at t = 27s, the positions of both cars must be the same:

Pa(27s) = Pb(27s)

Sa*27s = Sb*27s + 174m.

Now we can replace Sa by 2*Sb (from the above equation)

2*Sb*27s = Sb*27s + 174m

Now we can solve this for Sb.

2*Sb*27s - Sb*27s = 174m

Sb*27s = 174m

Sb = 174m/27s = 6.44m/s.

The speed of car B is 6.44 m/s

I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?

Answer:

(2x⁴ + 3x² -7)

Step-by-step explanation:

Length is

It is to be divided by 3.

Note when dividing the polynomial by any value each of the terms is divides by same value:

Each piece is (2x⁴ + 3x² -7) meters long

20,194+9,283 - 372 = 29,105

Step-by-step explanation:

do 3 2/5 times by 7 to get ur answer

Answer: Yes She is correct

Step-by-step explanation:

Answer:

a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle

The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other

The advantage of the above definition are;

1) It is simply stated and therefore, will be easier to understand

2) It can be easily used to test the perpendicular relationship between two objects

Disadvantages

1) It gives limited description of the other characteristics of the line

2) It does not state if the lines extend past each other after the point at which they cross

b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles

The above definition is correct as it meets the condition of two lines to be perpendicular to each other

Advantages

1) It clearly describes the relationship between the lines and their appearance

2) It indicates that the sun of angles at the point of intersection is 360°

Disadvantage

1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point

c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself

The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line

Advantages

1) It defines the condition of perpendicularity without the requirement for measuring the angles

2) It states the symmetrical condition of perpendicular lines about the vertical axis

Disadvantages

1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.

Step-by-step explanation:

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

Answer:

in 9 hour 10 minutes the water level decreased = 5/12

in 550 minutes  the water level decreased = 5/12

in 60 minutes  the water level decreased = (5/12)/550*60

                                                                  = 1/22

Step-by-step explanation:

The rate of which water level decreases is 1/22 per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Between time interval 9 P.M. and 6:10 AM,

The water level in the swimming pool decreases by 5/12.

To find the rate of decreasing water,

Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.

Since, in 550 minutes the water level decreases by 5/12.

To find water level decreases in each hour,

Use ratio property,

550 minutes = 5/12 decreases

1 minutes = 5/12 x 1/550 decreases

60 minutes = (5/12) x (60 / 550)

                   = 1 / 22

In each hour the water level decreases by 1/22.

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Answer: he burned 9912 calories all last month

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]

Step-by-step explanation:

Area of a triangle ( A ) = 9.45 m²

Base of a triangle ( b ) = 2.65

Height of a triangle ( h ) = ?

Finding the height of a triangle

[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]

[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]

[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

a) The value in C22 is the amount of inventory Store B has of Product Y at the end of July. That value is the starting inventory, 476, less July sales, 87, so will be ...

  476 -87 = 389 = C22

__

b) The maximum possible sales of Product Z by Store A in July will be the amount they have in starting inventory, 376. Max(A31) = 376.

___

Additional comment

We have to assume that stores don't share inventory, and that there is no incoming product during the month.

Answer:

Cierra & Fionna

Step-by-step explanation:

Anything 0 and above would represent someone passing or getting it spot on. The negatives mean below the average of other students.

Answer: D. Lower interest rates to allow businesses to borrow more money

Step-by-step explanation:

just took the test

To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money.​ The correct option is A.

Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.

It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.

A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.

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Answer:

[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

Step-by-step explanation:

Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:

[tex]d_{T} = d_{A}-d_{S}[/tex]

Where:

[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.

[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.

If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:

[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]

[tex]d_{T} = 15211\,ft.[/tex]

The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

The algebraic equation represents the distance of the airplane with respect to the submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

And the distance between the two elevations is 15,211 feet.

Given that,

An airplane flies at an altitude of 14,690 ft,

While a submarine is submerged at a depth of 521 feet below the surface of the ocean.

We have to determine,

What is the difference between these two elevations?

According to the question,

Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.

And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.

Submerged at a depth of 521 feet below the surface of the ocean,

[tex]\rm x_s = -521 \ feet[/tex]

Therefore,

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]

Hence, The difference between these two elevations is 15,211 feet.

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Answer:

I dont know what to do... i know I keep bothering you, but you actually give me advice. My favorite advice youve given me was probably, so sus ;)

Step-by-step explanation:

That was an inside joke for anyone else who see this haha

9/26

2 8/9 = 26/9

Reciprocal of 16/9 is 9/26

Answer: 1,55

Step-by-step explanation:

3/4 - (- 4/5) = 3/4 + 4/5 =  (3x5)/20  + (4x4)/20 = 15/20  +  16/20 =  31/20 = 1,55

3/4 - (- 4/5)  = 3/4  +  4/5 = 0,75 + 0.8 = 1,55  

Answer: x = {-1, -3, 2}

Step-by-step explanation:

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |  ↓    1      3     -2      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |  ↓    -1     -1     6      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

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Answer:

P = 11,000(2)^t/11

Step-by-step explanation:

The formula is given as:

P = Po(2)^t/d

Where

Po = Initial population = 11,000

t = time in months

d = doubling time = 11 months

Hence,

P = 11,000(2)^t/11

Hence, the population of cats is given by the equation:

P = 11,000(2)^t/11

Answer:

[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]

Step-by-step explanation:

[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]

Answer:

Width = 132 feet, Length = 291 feet

Step-by-step explanation:

perimeter (P) = 846

let width(W) = x

length(L) = 159 feet more than width = 159 + W= 159 + x

P of a rectangle = 2*(L + W)

846 = 2*((159 + x) + x)

divide both side by 2

423 = (159 + x) + x

423 = 159 + 2x

rearranging

2x + 159 = 423

2x = 423 -159

2x = 264

divide both sides by 2

x = 132 feet

recall W = x and L = 159 + x

W = 132 feet

L = 159 + 132 = 291 feet

Answer:

1/1000 or 0.001.

Step-by-step explanation:

10 ^-3

= 1/10^3

= 1/1000.

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120