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4 years ago

HELP QUICKLY The graph shows the total number of hours Katrina worked over a 10-day period.

Mathematics

2 answers:

Marta_Voda [28]4 years ago

7 0

Answer:

Day 7 - 8

Step-by-step explanation:

We can calculate the maximum work she did in each interval by finding the difference between the y axis limits for each day.

This is also observed by the steepness of the graph, which is steepest for the interval between 7- 8 hours .

From day 1 to day 2 she worked 3 hours

From day 4 to 5 she worked 0 hours

From day 7 to 8 she worked 6 hours

From 9 to 10 she worked zero hours.

Hence, the maximum work she did was from day 7 to 8

<h3>Hope this helps</h3>

BigorU [14]4 years ago

3 0

Answer:

Option C From day 7 to day 8

Step-by-step explanation:

The given graph shows the total number of hours Katrina worked over the period of 10 days.

Now we will calculate the number of hours worked by Katrina for every given options in the question.

Option A - From day 1 to day 2

Katrina worked (6 - 3) = 3 hours

Option B - From day 4 to day 5

Katrina worked (12-12) = 0 hours between the period of 4 to 5 days

Option C - From day 7 to day 8

Katrina worked (18-12) = 6 hours

Option D - From day 9 to day 10

Katrina worked ( 18 - 18) = 0 hours so she took the rest.

According to this, options C represents the work done for maximum hours in one day interval.

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a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price

prohojiy [21]

The original price is $450.

<u>Step-by-step explanation:</u>

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D = $OP \times30/100$

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = $450

5 0

4 years ago

I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The

son4ous [18]

Answer:

x = 15 ft

y = 15 ft

A(max) = 225 ft²

Step-by-step explanation:

Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:

A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120

4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x

Area of the garden as a function of x is:

A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²

Taking derivatives on both sides of the equation

A´(x) = 30 - 2*x

A´(x) = 0 ⇒ 30 - 2*x = 0

2*x = 30

x = 30/2

x = 15 ft

And y = ( 30 - x )

y = 15 ft

A(max) = 15*15

A(max) = 225 ft²

8 0

4 years ago

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

Learn more about solutions to system of equations here:

brainly.com/question/14550337

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3 years ago

Devin is going to deposit $3,000 in an account that earns 3.5% interest for 10 years. How much more INTEREST will he earn if the

Andrews [41]

Answer:

the answer will be rs.1050as more interest

7 0

3 years ago

A motel rents double rooms at $34 per day and single rooms at $26 per day. If 26 rooms were rented one day for a total of $804,

lubasha [3.4K]

Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

34x + 26y = 804 - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

34(26 - y) + 26y = 804

884 - 34y + 26y = 804

- 34y + 26y = 804 - 884

- 8y = - 80

y = - 80/ - 8 = 10

x = 26 - y = 26 - 10

x = 16

5 0

3 years ago