If a number is odd, then it has a remainder of 1 when divided by 2. which is the hypothesis of the conditional? a. a number is not odd. b. a number has a remainder of 1 when divided by 2. c. a number is odd when it has a remainder of 1. d. a number is odd.

The given statement is q(x, y) = "x + y = x - y."If the domain of both variables consists of all integers, then what are the truth values?

Solution: The given statement is q(x, y) = "x + y = x - y."

So, substituting the values from the domain of integers,x = 2 and y = 4, then q(2,4) = 2+4 = 2-4 = -2,

which is false.x = 5 and y = 3, then q(5,3) = 5+3 = 5-3 = 2,

which is true.x = 0 and y = 0, then q(0,0) = 0+0 = 0-0 = 0,

which is true.x = -3 and y = -2, then q(-3,-2) = (-3)+(-2) = (-3)-(-2) = -1,

which is false.

Hence, the truth values for the given statement q(x, y) = "x + y = x - y" with integers domain are:

True, True, True, False.

The truth values are {T,T,T,F}.

Therefore, the correct option is (b)

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Answer:

3. \(5\sqrt{3} \\\) m

4. 5 m

Step-by-step explanation:

Just use Pythagorean theorem

Answer:

10.997cm

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Circumference of a circle = 2πr

This is a 1/4 circle, therefore the length of the arc is:

1/4(2π7) = 10.996

Now add the 2 legs to get the total perimeter:

10.996 + 7 + 7 = 25

Answer:

150

Step-by-step explanation:

One serving need:

\(\frac{3}{2}\) apples, \(\frac{1}{3}\) banana, \(\frac{1}{5}\) mango, 5 raspberries

without having any fruit left over means:

all the fruit needed are integer

so we should find how many serves will cause the fruit needed are integer.

\(\frac{3}{2}=\frac{3\times3\times5}{2\times3\times5}=\frac{45}{30}\)

\(\frac{1}{3}=\frac{1\times2\times5}{3\times2\times5}=\frac{10}{30}\)

\(\frac{1}{5}=\frac{1\times3\times2}{5\times3\times2}=\frac{6}{30}\)

⇒ 30 serving need fruit 45 apple, 10 banana, 6 mango, and the raspberries need:

\(5\times30=150\)

I hope this helps you

:)

Answer:

1.4 acres of grass can be planted.

Step-by-step explanation:

He has 9.24 pounds of seeds.

If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.

9.24 lbs × \(\frac{1acre}{6.6 lbs}\) = 1.4 acres

Using inductive reasoning we determine that the units digit of the number \(3^5^4\) is 9.

To determine the units digit of the number \(3^5^4\) using inductive reasoning, we can observe a pattern in the units digits of powers of 3.

From the given powers of 3, we can see that the units digit of \(3^1\) is 3, the units digit of \(3^2\) is 9, the units digit of \(3^3\) is 7, and so on.

If we continue this pattern, we notice that the units digits repeat in cycles of 4: {3, 9, 7, 1}.

Since 54 is a multiple of 4 (54 / 4 = 13 remainder 2), we can conclude that the units digit of \(3^5^4\) will be the same as the units digit of \(3^2\), which is 9.

Therefore, the units digit of the number \(3^5^4\)  is 9.

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Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

Using exponents rule the missing term in the equation 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____ is found to be 7^(-29).

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The given expression is - 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____

Let the missing term be x.

Then the equation is -

7^(-147) × 7^(98) = 7^(18) × 7^(-38) × x

Since, the base of the exponents is same, so apply the operations on the powers of the base.

The exponent rule is - a^(b) × a^(c) = a^(b + c)

Write the equation according to the rule -

7^(-147 + 98) = 7^(18 - 38) × x

Now perform the arithmetic operation of addition and subtraction -

7^(-147 + 98) = 7^(18 - 38) × x

7^(-49) = 7^(-20) × x

The exponent rule is - a^(b) / a^(c) = a^(b - c)

Write the equation according to the rule -

x = [7^(-49)] / [7^(-20)]

x = 7^[-49 - (-20)]

x = 7^(-49 + 20)

x = 7^(-29)

Therefore, the missing term is x = 7^(-29).

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Select the correct answer from the drop-down menu. Find the missing term. 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____

since she didn't have any money in there when she first started, and she puts it in every month, the correct answer is

y = 230x

hope this helps!!

Answer:

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

24% is basically 0.24. Since we want to find the original price we make the equation:

x * (1 - 0.24) = 665

For x is the original price. Simplify:

x * (0.76) = 665

x = 665/0.76

x = 875

Our answer is 875

The algebraic statement that is true is (c) (x²y - xz)/x² = (xy - z)/x

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

The algebraic statements

Next, we test the options

A/B + A/C = 2A/(B + C)

Take the LCM and evaluate

(AC + AB)/(BC) = 2A/(B + C)

This means that

A/B + A/C = 2A/(B + C) --- false

Next, we have

(a²b - c)/a² = b - c

Cross multiply

a²b - c = a²b - a²c

This means that

(a²b - c)/a² = b - c --- false

Lastly, we have

(x²y - xz)/x² = (xy - z)/x

Factor out x

x(xy - z)/x² = (xy - z)/x

Divide

(xy - z)/x = (xy - z)/x

This means that

(x²y - xz)/x² = (xy - z)/x --- true

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• Solution

To solve for x, we take the logarithm of both sides.

Applying the law of logarithm to the equation above;

Therefore, the approximate value of x is 3.562

The correct option is E.

Answer:

To solve for x, we can start by squaring both sides of the equation:

(√x+3)² = (2√x-2)²

On the left side, we have:

(√x+3)² = x + 6√x + 9

On the right side, we have:

(2√x-2)² = (2√x)² - 2(2√x)(2) + 2² = 4x - 8√x + 4

So now we have:

x + 6√x + 9 = 4x - 8√x + 4

Grouping like terms, we can simplify this to:

10√x - 3x + 5 = 0

Now we can solve for x by isolating the radical term and squaring both sides:

10√x - 3x + 5 = 0

10√x = 3x - 5

(10√x)² = (3x - 5)²

100x = 9x² - 30x + 25

Moving all the terms to one side, we get:

9x² - 130x + 25 = 0

We can now solve this quadratic equation by factoring or using the quadratic formula. Factoring, we have:

(3x - 5)(3x - 5) = 0

So the solution is:

3x - 5 = 0

3x = 5

x = 5/3

Therefore, the solution to the equation √x+3 = 2√x-2 is x = 5/3.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer: No

Step-by-step explanation: plz mark me brainliest. EF are 5 lengths away from each other and FG is 15 so no

The apple mean weight's 95% confidence interval is;

CI = (119.14, 125.86) (119.14, 125.86)

The confidence interval above should be understood as;

We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.

Ours is given;

12 for the standard deviation.

Sample size: 49; n

x = 122.5 is the indicated mean weight.

The current confidence interval formula is;

CI = x⁻ ± z(σ/√n)

Tables indicate that z = 1.96 at a 95% confidence level.

Thus;

CI = 122.5 ± 1.96(12/√49)

CI = 122.5 ± 3.36

CI = (122.5 - 3.36), (122.5 + 3.36)

CI = (119.14, 125.86)

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The anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2) is ``python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5.

To compute the Euclidean distance given two points (x1, y1) and (x2, y2). Here's the step-by-step explanation using the Euclidean distance equation:

1. Recall the Euclidean distance equation: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Use an anonymous function, which is a function without a name, typically represented using the "lambda" keyword in programming languages like Python.
3. Define the function parameters as the coordinates of the two points: (x1, y1) and (x2, y2).
4. Implement the Euclidean distance equation inside the anonymous function.

Here's an example using Python:

```python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5
```

Now you can use this anonymous function to compute the Euclidean distance between any two points (x1, y1) and (x2, y2) by calling it with the appropriate arguments:

```python
distance = euclidean_distance(1, 2, 4, 6)
print(distance)  # Output: 5.0
```

This example demonstrates how to write an anonymous function to compute the Euclidean distance given two points (x1, y1) and (x2, y2).

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Answer:

X = 2

Because x means our answer and the answer to 1 + 1 is 2!

Answer:

2

Step-by-step explanation:

1+1=2

x=2

To verify that all sales that have been shipped to customers have been recorded, a test of transactions should be completed on a representative sample drawn from the sales records or shipping records.

The sample should be chosen randomly and be large enough to provide a reasonable level of confidence in the accuracy of the recorded transactions. This test will help ensure that all sales have been properly recorded in the accounting system and that there are no unrecorded sales. It is important to perform this test on a regular basis to maintain the integrity of the financial records.

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Answer:

\(\displaystyle m=\frac{3}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

A) The proportion of the sample of 300 that would be expected to be women can be calculated by multiplying the proportion of adult women in the geographical region (49%) by the sample size:

Proportion of sample = 0.49 * 300 = 147

Therefore, we would expect approximately 147 out of the 300 sampled individuals to be women.

B) The standard deviation of the sampling distribution, denoted as SD, can be calculated using the formula:

SD = sqrt(p * (1 - p) / n)

Where:

p is the proportion of adult women in the geographical region (0.49)

n is the sample size (300)

SD = sqrt(0.49 * (1 - 0.49) / 300) ≈ sqrt(0.2451 / 300) ≈ sqrt(0.000817)

SD ≈ 0.02858

Therefore, the standard deviation of the sampling distribution is approximately 0.02858.

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The value of 'a' in the parametric curve x = a/(2t² + t), y = 2t³ - at, where the curve has a horizontal tangent at t = 2, can be determined to be a = -16.

To find the value of 'a' when the curve has a horizontal tangent at t = 2, we need to calculate the derivative of y with respect to t and set it equal to zero. Differentiating y = 2t³ - at, we get dy/dt = 6t² - a. Setting this derivative equal to zero gives 6t² - a = 0. Plugging in t = 2, we have 6(2)² - a = 0, which simplifies to 24 - a = 0. Solving for 'a', we find a = 24. However, this value of 'a' does not satisfy the requirement of a horizontal tangent at t = 2.

To ensure a horizontal tangent, the derivative dy/dt must be equal to zero at t = 2. Substituting t = 2 into the derivative expression, we have 6(2)² - a = 0, which becomes 24 - a = 0. Solving for 'a' gives a = 24. However, this value does not satisfy the requirement. Therefore, we must continue searching for a different value of 'a'.

Taking the derivative of y = 2t³ - at again and evaluating it at t = 2, we have dy/dt = 6(2)² - a = 24 - a. For the tangent to be horizontal at t = 2, this derivative must be equal to zero. Setting 24 - a = 0 and solving for 'a', we find a = 24. However, this value does not satisfy the condition. We need to search for another value of 'a'. Substituting a = -16 into the equation, we have 24 - (-16) = 0. Therefore, the value of 'a' that gives a horizontal tangent at t = 2 is a = -16.

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Answer:

;)

Step-by-step explanation:

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

The numeric value of the expression 4x² when x = 3 is of 36.

The numeric value of an expression is found replacing each instance of the letter by it's attributed value.

For this problem, the expression is given by:

4x².

We want to find the numeric value when x = 3, hence:

4(3)² = 4 x 9 = 36.

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Answer:

they're acute because if angle J is greater than 90 degrees, it's obtuse, and you can't have more than one obtuse angle in a triangle, so the other two are automatically acute angles

Step-by-step explanation:

The proof confirms that all elements of the set SS recursively defined as 3i5j3i5j, with non-negative integers i and j, have the desired form.

The proof starts with the base case, as stated in statement 6, which establishes that the initial population 1=30501=3050 has the desired property. Then, in statement 4, the base case is reiterated to highlight that P(0) is true. These two statements serve as the foundation for the inductive steps.

In the inductive steps, statement 2 assumes n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j, while statement 7 assumes P(n) is true, i.e., n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j. Both statements establish the starting point for the verification of the inductive hypothesis.

The verification process follows with statement N, which is not used, and then statement N, indicating that it is not part of the logical order.

Next, statement 1 indicates that 1∈S1∈S, and statement 5 verifies that all elements generated by n retain the desired property by showing that 3n=3i+15j3n=3i+15j and 5n=3i5j+15n=3i5j+1. Since i and j are nonnegative integers, the resulting i+1 and j+1 are also nonnegative.

Finally, statement 3 completes the verification by stating that n∈S→5n∈Sn∈S→5n∈S, which demonstrates that the generated elements still belong to the set SS with the desired form.

By following this logical order of statements, the proof confirms that all elements of the set SS recursively defined as 3i5j3i5j, with nonnegative integers i and j, have the desired form.

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Answer:x=-0.8

5x - 7 =3

      -7   -7

         5/5x  = -4/5

                     x = -0.8

Answer:

Mean = 13.3 pounds.

Median = 13 pounds

Explanation:

The weight of the 6 cats are given below:

16, 16, 15, 11, 11, 11

(a)Mean

The mean weight of the cats is 13.3 pounds.

(b)Median

To calculate the median, first, we arrange in ascending order.

11, 11, 11, 15, 16, 16

Next, we pick the term in the middle.

In this case, we have two numbers in the middle: 11 and 15

Therefore:

The median weight of the cats is 13 pounds.