Lora's phone records data for screen time each week. Last week, she used 750 minutes. This week, lora used 495 screen time minutes on the phone. Calculate the percent decrease in screen time this week.

Answer: kindly check explanation

Step-by-step explanation:

Given the following statements :

A.) To find 49 times 73. I multiply 73 times 50 and take off one group of 73

To obtain the product of (49 and 73)

(73 * 50) - 73

3650 - 73

= 3577

B.) To find 15 times 16, I double 15 and halve 16 and then multiply

Double 15 = (15 * 2) = 30

Halve 16 = (16 / 2) = 8 ;

Then multiply:

(30 * 8) = 240

Similarly ;

(15 × 2) × (16 / 2) = 240

So ∠DFE≅ ∠GHE, the missing letter is E. To prove use ASA Congruence Theorem.

ASA congruence is a geometric congruence between two triangles that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent. The acronym ASA stands for "angle-side-angle."

∠DFE≅∠GHE; ∠F and ∠H are right angles. To prove that △DEF≅△GEH, we can use the statement: "If two angles of one triangle are congruent to two angles of another triangle, and the included side of one triangle is congruent to the included side of the other triangle, then the two triangles are congruent." This statement is known as the ASA Congruence Theorem.

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Answer:

150%

Step-by-step explanation:

Answer:

100 percent is the answer

The value of the fraction is 3/-2

A fraction can simply be described as the part of a whole variable, a whole number or a whole element.

The different types of fractions in mathematics are;

From the information given, we have that;

4/-2 - 3/-6

find the lowest common factor

12 - 3/-6

subtract the value, we get;

9/-6

Divide the values into simpler forms

3/-2

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Answer:

Step-by-step explanation:

We know that:

Use the given to find the missing function:

Answer:

\({ \rm{f(x) = 4 - {x}^{2} }}\)

\({ \rm{(f - g)(x) = - {x}^{2} + x + 2}}\)

- From functions;

\({ \boxed{ \tt{(f - g)(x) = f(x) - g(x)}}} \\ \\ { \rm{ - {x}^{2} + x + 2 = (4 - {x}^{2} ) - g(x) }} \\ \\ { \rm{g(x) = (4 - {x}^{2}) + {x}^{2} - x - 2 }} \\ \\ { \boxed{ \rm{g(x) = 2 - x}}}\)

The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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There is a 25% chance that a flight between New York City and Chicago will take between 97 and 98 minutes.

Since the time to fly between New York City and Chicago is uniformly distributed between 96 and 100 minutes, the probability of a flight being between any two times is proportional to the length of the time interval between those two times.

To find the probability that a flight is between 97 and 98 minutes, we need to calculate the length of the time interval between those two times, which is 1 minute.

Then, we divide the length of the interval by the length of the entire time range (100-96 = 4 minutes) to obtain the probability of a flight being between 97 and 98 minutes: Probability = 1 minute / 4 minutes = 0.25 or 25%.

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Answer:

x = 68°

Step-by-step explanation:

here it is of surely we're finding for x

The percent increase in enrollment = 115%

What is percentage ?

Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage.

To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.

Given,

Number of students in 2005 undergraduated = 1300 students

Number of students in 2018 undergraduated = 2800 students

Percentage increase in enrollment = Final - Initial/ Initial * 100

= 2800 - 1300/1300 * 100

= 1500/1300 * 100

= 1.1538 * 100

= 115.38 %

= 115 %

The percent increase in enrollment = 115%

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

Answer:

see below

Step-by-step explanation:

The absolute value is the distance from zero.

It is the non-negative quantity.

Answer:

4×3/4

Step-by-step explanation:

hope it helps!!!!

Answer:

\(\frac{3}{16}\)

Step-by-step explanation:

This can be changed into the following equation:

\(\frac{3}{4}\) ÷ 4 =

\(\frac{3}{4}\)÷\(\frac{4}{1}\)

Step 1 - Flip the second fraction so the numerator is the denominator:

\(\frac{4}{1}\) becomes \(\frac{1}{4}\)

Step 2 - Swap the division sign for the multiplication sign and multiply the two numerators together as well as the two denominators:

\(\frac{3}{4} * \frac{1}{4}\)

\(\frac{3 * 1}{4 * 4}\) = \(\frac{3}{16}\)

This cannot be simplified so the answer is:

\(\frac{3}{16}\)

Hope this helps!

Every second, the water level increases by 10 mm and this value also represents the slope

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The graph represents the given parameter

From the graph, we have the following points

(x, y) = (0, 0) and (1, 10)

The increase in height each second is then calculated as

Increase = (y2 - y1)/(x2 - x1)

This gives

Increase = (10 - 1)/(1 - 0)

Evaluate

Increase = 10

Hence. the increase in height each second is 10 mm

In (a), we have

The increase in height each second is 10 mm

The increase in height each second is also the slope of the graph

Hence, the slope of the graph is 10 mm

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The area of the polygon is approximately 497.41 square centimeters.

A polygon is a two-dimensional geometric shape that is made up of straight lines connected end to end to form a closed shape. A polygon must have at least three sides, and each side must intersect with exactly two other sides.

The exterior angle of a regular polygon is equal to 360 degrees divided by the number of sides. So, if the exterior angle is 20 degrees, the number of sides can be found by dividing 360 by 20, which gives us 18.

Each interior angle of a regular polygon can be found using the formula:

Interior angle = (n - 2) x 180 / n

where n is the number of sides. For an 18-sided polygon, the interior angle is:

(18 - 2) x 180 / 18 = 160 degrees

Apothem = (Side length) / (2 x tan(π/n))

where n is the number of sides. Plugging in the values, we get:

Apothem = (6) / (2 x tan(π/18)) = 6 / (2 x 0.32492) ≈ 9.2367 cm

Finally, we can use the formula for the area of a regular polygon:

Area = (1/2) x Apothem x Perimeter

where Perimeter is just the side length multiplied by the number of sides. Plugging in the values, we get:

Perimeter = Side length x Number of sides = 6 x 18 = 108 cm

Area = (1/2) x 9.2367 x 108 ≈ 497.41 cm²

Therefore, the area of the polygon is approximately 497.41 square centimeters.

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From the graph, we have the amount of water (in liters) on the y-axis and the time (in minutes) on the x-axis

a)

To obtain the amount of water at zero minutes, we will trace the y-value that corresponds with the value of zero on the x-axis: we will see this to be 270 liters

Therefore, at time zero minutes, the amount of water is 270 liters

b)

We will answer this by picking two points that lie along the straight line and calculate the slope. We pick the points:

We will proceed to calculate the slope as shown below:

The slope is -90 liters per minute.

The negative sign (-) means that as time increases, the amount of water in the aquarium decreases

The water decreases at a rate of 90 liters per minute

Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1

The appropriate safety stock level to achieve the desired service level is 5.95 gallons by using the ROP model.

The ROP model (Reorder Point model) is used to manage inventory by determining when to order more items. It is a method to ensure that inventory levels do not drop below a certain level. Safety stock is the amount of inventory kept above the expected demand level to compensate for variations in demand. The formula for the ROP model is ROP = d (L + Lead time), where d = demand rate, L = lead time, and Lead time = the number of days between placing an order and receiving it.

In this case, the demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal distribution with a mean of 21 gallons per week and a standard deviation of 3 gallons per week. Therefore, the demand rate (d) is 21 gallons per week. Lead time is 9 days, and the dairy is open seven days a week, so the Lead time is 9/7 weeks or approximately 1.29 weeks.

The new manager desires a service level of 90 percent. To calculate the safety stock, we need to use the formula:

Safety stock = z × σ × √(L + Lead time)

where z is the number of standard deviations required to achieve the desired service level, and σ is the standard deviation of the demand. Since the distribution is normal, we can use the Z-score formula to find the value of z. For a 90% service level, the Z-score is 1.28.

Therefore, Safety stock = 1.28 × 3 × √(1.29) = 5.95 gallons (rounded to two decimal places).

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Answer:

0

Step-by-step explanation:

Continuing from where Karissa stopped, solving for the value of x in the equation can be done as follows:

\(\frac{1}{2}x = \frac{-1}{2}x\)

\(\frac{x}{2} = \frac{-x}{2}\)

Cross multiply

2x = -2x

2x + 2x = 0

4x = 0

Divide both sides by 4

\(\frac{4x}{4} = \frac{0}{4}\)

x = 0

The value of x in the equation Karissa was solving is 0

- To solve for V21: v21 = (v13 - v23) / ((v13 * v23) / c^2 - 1)

- To solve for V13: V13 = (v23 * c^2) / v21

These formulas allow you to calculate V21 and V13 separately using the given values of v23, v21, v13, and the speed of light c.

Let's rearrange the formula step by step to solve for V21 and V13 separately.

The relativistic addition of velocities formula is given by:

v23 = (v21 + v13) / (1 + (v21 * v13) / c^2)

Step 1: Solve for V21

To solve for V21, we need to isolate it on one side of the equation. Let's start by multiplying both sides of the equation by (1 + (v21 * v13) / c^2):

v23 * (1 + (v21 * v13) / c^2) = v21 + v13

Step 2: Expand the left side of the equation:

v23 + (v21 * v13 * v23) / c^2 = v21 + v13

Step 3: Move the v21 term to the left side of the equation and the v13 term to the right side:

(v21 * v13 * v23) / c^2 - v21 = v13 - v23

Step 4: Factor out v21 on the left side:

v21 * ((v13 * v23) / c^2 - 1) = v13 - v23

Step 5: Divide both sides of the equation by ((v13 * v23) / c^2 - 1):

v21 = (v13 - v23) / ((v13 * v23) / c^2 - 1)

Now we have solved for V21.

Step 6: Solve for V13

To solve for V13, we need to rearrange the original equation and isolate V13 on one side:

v23 = v21 * V13 / c^2

Step 7: Multiply both sides of the equation by c^2:

v23 * c^2 = v21 * V13

Step 8: Divide both sides of the equation by v21:

V13 = (v23 * c^2) / v21

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The probability that a randomly chosen contestant has a brown beard and is only in the beard competition is 0.402. The correct answer is option (D) 0.402.

Let B denote the event that a contestant has a brown beard, and M denote the event that a contestant is only in the beard competition. We are given:

P(B) = 0.406

P(M) = 0.509

P(B U M) = 0.513

We want to find P(B ∩ M), the probability that a contestant has a brown beard and is only in the beard competition. We can use the formula:

P(B U M) = P(B) + P(M) - P(B ∩ M)

Rearranging and substituting the given values, we get:

P(B ∩ M) = P(B) + P(M) - P(B U M)

= 0.406 + 0.509 - 0.513

= 0.402

Therefore, the probability that a randomly chosen contestant has a brown beard and is only in the beard competition is 0.402.

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See full text below

POSSIBLE POINTS: 1

Trevor was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Trevor also noted the contestants were signed up for the mustache competition later in the day.

The probability that a contestant has a brown beard is 0.406, the probability that a contestant is only in the beard competition is 0.509, and the probability that a contestant has a brown beard or is only in the beard competition is 0.513.

What is the probability that a randomly chosen contestant has a brown beard and is only in the beard competition?

0.915

0.582

0.004

0.402

O 0.103

O 0.441

Answer:

x+131=180

then subtract 131

x=49

Answer:

I think it will be combined and simplified

Answer:

Simplified/combined

Explanation:

In order to simplify an algebraic expression you need to combine all of the like terms which have the same variables and powers.

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

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Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.