what fraction is shaded​

Answer:

Let x be your original weight.

The weight loss of 4-8 kg can be represented as a range: 4 kg ≤ x ≤ 8 kg.

We also know that this weight loss is equal to 6% of your original weight:

6% of x = 4 kg

To find the lower end of the range, we use 4 kg:

0.06 * x = 4 kg

Solving this equation for x:

x = 4 kg / 0.06

x ≈ 66.67 kg

Therefore, your original weight was approximately 66.67 kg.

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Answer:

7°F

Step-by-step explanation:

-9 - -2 = -7

Answer: 8

Step-by-step explanation:

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Without using a truth table:

(p ⇒ q) ∨ q   ⇔   (¬p ∨ q) ∨ q   ⇔   ¬p ∨ q   ⇔   p ⇒ q

With a table:

p   …   q   …   p ⇒ q   …   (p ⇒ q) ∨ q

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

The probability of choosing a three digit number whose sum is 3 is given by the equation P = 0.00666

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of three digits number be represented as n

Let the probability of choosing a three digit number whose sum is 3 be P

Now , the number of three digits number whose sum is 3 is given by set A

Set A = { 102 , 120 , 111 , 201 , 210 , 300 }

Now , the total number of 3 digits numbers is n = 900

So , the probability of choosing a three digit number whose sum is 3 P = number of three digits number whose sum is 3 / total number of 3 digits numbers

The probability P = 6/900

On simplifying the equation , we get

The probability P = 1/150

The probability P = 0.00666

Hence , the probability is P = 0.00666

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Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

\(8+z=?\) when z=5

\(8+5=13\)

Answer:

C, D and E are the correct statement

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Using the product rule, then (A) is the answer.

Answer:

C

Step-by-step explanation:

When you substitute the coordinate values into the equation, you should get an number that is equal on both sides. This occurs only in equation C.

Answer:

C,E and i would kinda think also B

but idk if u can choose three so yh

and i hope its right bc i remember doing this but my memory is vauge :)

Step-by-step explanation:

The multiplier effect refers to the theory that government spending intended to stimulate the economy causes increases in private spending that additionally stimulates the economy.In essence,the theory is that government spending gives households additional income, which leads to increased consumer spending.

I think the answer is $32.78

Step-by-step explanation:

which is required equation.

Answer:

42

Step-by-step explanation:

17 + 25 = 42

Answer:

\(w=\frac{3}{2} ,-1\)

Step-by-step explanation:

\(3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\\)

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

\(4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}\)

and the other case

\(4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1\)

This method is unlikely to give an accurate estimate of the percentage since it chooses only 5 customers from a small sample size, which may not be representative of the entire population of customers.

In statistical terms, the sample size of 5 is considered very small and may not be large enough to capture the variability in customers' preferences. A larger sample size would increase the precision and accuracy of the estimate of the percentage of customers who would buy a new flavor.

A small sample size may lead to unreliable estimates and may not be representative of the population, highlighting the importance of using appropriate sample sizes in statistical analysis.

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Answer:

Answer in explanation. Hope this helps!

Step-by-step explanation:

Starting the new year right, I'm taking the subway to work. It seems like a good day. I'm leaving a little earlier than I usually do. After all, if I could get a promotion, I would be able to properly provide for my family. When I get to work, I begin my day optimistically replying to emails. I like to include big words in the subject so that people know I'm taking the job seriously. I'm trying to make a change at work to make it easier at home.

Answer:

for finding the parallel line its y= 5x+6

Step-by-step explanation:

for the slope and y intercept its slope+5

y intercept its (0,8)

hopes this helps.

Answer:

1/2

Step-by-step explanation:

took test

Answer:

4/9

Step-by-step explanation:

um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one

If Latoya plans to drive more than 80 miles, she should choose Company A. If she plans to drive less than 80 miles, she should choose Company B.

To compare the costs of renting a truck from Company A and Company B, we need to consider the total cost for one day with each company.

For Company A, the cost is a flat fee of $127, regardless of the mileage.

For Company B, there is an initial fee of $55, and an additional charge of $0.90 per mile driven. Since we don't know the mileage, let's call it 'x'. So the cost for Company B is: $55 + $0.90x.

To determine which company is cheaper, we can set up an equation and solve for 'x'. We want to find the point where the costs are equal:

$127 = $55 + $0.90x

Now, let's solve for 'x':

$127 - $55 = $0.90x
$72 = $0.90x
$80 = x

So, if Latoya drives more than 80 miles, Company A will be cheaper. If she drives less than 80 miles, Company B will be cheaper.

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Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=17

Step-by-step explanation:

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer: The largest number of fence posts that can possibly be cut from the steel bar is 28

Step-by-step explanation:

To determine the largest number of fence posts that can possibly be cut from the steel bar, we first need to find the minimum and maximum lengths of the steel bar and fence posts based on their respective measurements.

Steel bar length: 15 m, correct to the nearest meter

Minimum length: 14.5 m (0.5 m less than 15 m)

Maximum length: 15.5 m (0.5 m more than 15 m)

Fence post length: 60 cm, correct to the nearest 10 centimeters

Minimum length: 55 cm (5 cm less than 60 cm)

Maximum length: 65 cm (5 cm more than 60 cm)

Now, we convert all measurements to the same unit (e.g., centimeters).

Minimum steel bar length: 14.5 m * 100 cm/m = 1450 cm

Maximum steel bar length: 15.5 m * 100 cm/m = 1550 cm

To maximize the number of fence posts that can be cut from the steel bar, we will use the maximum steel bar length and the minimum fence post length:

Number of fence posts = Maximum steel bar length / Minimum fence post length

Number of fence posts = 1550 cm / 55 cm ≈ 28.18

Since the number of fence posts must be a whole number, we round down to the nearest whole number: 28

Answer:

A, C, E, F

Step-by-step explanation:

Functions mean that each x-value can only go to one y-value, but the same x-value can't go to 2 different y-values.

Different x-values, such as x=-4 or x=5, CAN go to the same y-value as shown in C.

But for B, x=5 can't go to both y=0 and y=8

Answer:

It will take 39 minutes to get to work!

Step-by-step explanation:

t = 29/45 hours

= 29/45 x 60 minutes

= 39 minutes

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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