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Mazyrski [523]
3 years ago
6

What is 3/4 to the -2 power

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
Flip 3/4 and square
4/3 squared. Is = 16/9

Go
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A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed down
Jobisdone [24]

let's recall that d = rt, distance = rate * time.

he went upstream to a distance "d", got tired and came back to his starting point, so he rowed back a distance "d" exactly.

we know the rates, we also know the trip took 2 hours, let's say on the way over he took "t" hours to get there, on the way back he lasted then "2 - t" hours.

\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&d&2&t\\ Downstream&d&8&2-t \end{array}\qquad \qquad \begin{cases} d=2t\\\\ d=8(2-t) \end{cases}

\stackrel{\textit{substituting on the 2nd equation}}{2t=8(2-t)\implies 2t=16-8t}\implies 10t=16\implies t=\cfrac{16}{10}\implies t=\cfrac{8}{5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{d=2t}\implies d=2\left( \cfrac{8}{5} \right)\implies \stackrel{\textit{3 miles and 1056 feet}}{d=\cfrac{16}{5}\implies d=3\frac{1}{5}}

5 0
2 years ago
The data below represent a demand schedule.
ser-zykov [4K]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

  1. 5.50
  2. 2.25
  3. 1.17
  4. 0.63

<h3>What is the price elasticity of demand?</h3>

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

<h3>Part B.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

<h3>Part C.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

<h3>Part D.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: brainly.com/question/24384825

#SPJ1

3 0
2 years ago
What are the cons of graphing, elimination, and substitution?
rosijanka [135]

GRAPHING CONS

1) hard to graph by hand. Often you need a graphics calculator or a computer software like maple or matlab. Or the graph has to be given.

2) hard to tell the exact solution, just by observing point of intersection. for example if x = 2.8675, the viewer would say x= 3.

3) sometimes not easy to decide the axis window of y and x axis. For example if the solution is very large like x = 100000 and your graph ends at x = 100, you cannot see the solution

SUBSTITUTION CONS

1) Becomes tedious if a system has too many equations or variables

ELIMINATION PROS/CONS

1) basically same as substitution

4 0
3 years ago
Hans works as a tutor for $8 an hour and as a waiter for $10 an hour. This month, he worked a combined total of 97 hours at his
sashaice [31]

Answer:

he earned $97.02 in one month

Step-by-step explanation:

8 0
3 years ago
Pls help quick i need this
irina [24]

Answer:

See explanation

Step-by-step explanation:

Q1-5.

1. Plane parallel to WXT is ZYU.

2. Segments parallel to \overline {VU} are \overline {ZY}, \overline {WX} and \overline {ST}

3. Segments parallel to \overline {SW} are \overline {VZ}, \overline {YU} and \overline {XT}

4. Segments skew to \overline {}\overline {XY} are \overline {SV} and \overline {VZ} (not lie in the same plane and not parallel)

5. Segments skew to \overline {}\overline {VZ} are \overline {WX} and \overline {XT} (not lie in the same plane and not parallel)

Q6.

a. \angle 4 and \angle 10 are the same-side interior angles, transversal k

b. \angle 8 and \angle 11 are alternate exterior angles, transversal m

c. \angle 1 and \angle 4 do not form any pair of angles

d. \angle 2 and \angle 12 are the same-side exterior angles, transversal  k

e. \angle 5 and \angle 7 are corresponding angles, transversal  j

f. \angle 2 and \angle 13 are alternate interior angles, transversal l

Q7.

m\angle 1=m\angle 7=131^{\circ} (as vertical angle with angle 7)

m\angle 2=180^{\circ}-131^{\circ}=49^{\circ} (as supplementary angle with angle 1)

m\angle 8=49^{\circ} (as vertical angle with angle 2)

m\angle 3=m\angle 1=131^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal r)

m\angle 4=m\angle 2=49^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal r)

m\angle 5=m\angle 7=131^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal r)

m\angle 6=m\angle 8=49^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal r)

m\angle 10=m\angle 16=88^{\circ} (as vertical angle with angle 16)

m\angle 9=180^{\circ}-88^{\circ}=92^{\circ} (as supplementary angle with angle 16)

m\angle 15=92^{\circ} (as vertical angle with angle 9)

m\angle 14=m\angle 16=88^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal s)

m\angle 13=m\angle 15=92^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal s)

m\angle 12=m\angle 10=88^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal s)

m\angle 11=m\angle 9=92^{\circ} (as corresponding angles when parallel lines p and q are cut by transversal s)

Q8.

m\angle 7=m\angle 9=105^{\circ} (as vertical angles)

m\angle 8=180^{\circ}-105^{\circ}=75^{\circ} (as supplementary angle with angle 9)

m\angle 10=m\angle 8=75^{\circ} (as vertical angles)

m\angle 6=m\angle 8=75^{\circ} (as alternate interior angles when parallel lines a and b are cut by transversal c)

m\angle 1=180^{\circ}-75^{\circ}-63^{\circ}=42^{\circ} (by angle addition postulate)

m\angle 3=180^{\circ}-42^{\circ}-63^{\circ}=75^{\circ} (by angle addition postulate)

m\angle 4=m\angle 1=42^{\circ} (as vertical angles)

m\angle 5=m\angle 2=63^{\circ} (as vertical angles)

m\angle 11=m\angle 4=42^{\circ} (as alternate interior angles when parallel lines a and b are cut by transversal d)

m\angle 12=180^{\circ}-42^{\circ}=138^{\circ} (as supplementary angles)

m\angle 13=m\angle 11=42^{\circ} (as vertical angles)

m\angle 14=m\angle 12=138^{\circ} (as vertical angles)

3 0
3 years ago
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