Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15

Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

Answer:

\(\mu=-4\)

Step-by-step explanation:

We know that \(\overline{PR} \perp \overline{QR}\).

Since \(\overline{PR}\) is horizontal, \(\overline{QR}\) is vertical. Therefore, \(\mu=-4\).

System of inequalities that represents this scenario is 7x + 11y ≥ 700 (the total amount of merchandise sold must be at least $700) y ≥ 50 (at least 50 coffee mugs must be sold)

Dominique is selling merchandise for a school fundraiser. To meet her goals, she must sell at least $700 worth of merchandise, including at least 50 coffee mugs.

Let x be the number of calendars sold and y be the number of coffee mugs sold. The revenue from selling x calendars and y coffee mugs can be calculated as follows:

Revenue = (Price per calendar) x (Number of calendars sold) + (Price per coffee mug) x (Number of coffee mugs sold)

Given that calendars are being sold for $7 each and coffee mugs are being sold for $11 each, the revenue equation can be expressed as:

Revenue = 7x + 11y

To meet the fundraising goal of selling at least $700 worth of merchandise, the total revenue generated from the sale of calendars and coffee mugs must be at least $700. Hence, we can express this as the inequality:

7x + 11y ≥ 700

In addition, Dominique must sell at least 50 coffee mugs. This can be expressed as the inequality:

y ≥ 50

Combining both inequalities, we get the system of inequalities:

7x + 11y ≥ 700 and y ≥ 50

This system of inequalities represents the scenario where Dominique must sell at least $700 worth of merchandise, including at least 50 coffee mugs. The first inequality ensures that the total revenue generated from the sale of calendars and coffee mugs meets the fundraising goal, while the second inequality ensures that at least 50 coffee mugs are sold.

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Answer:

yes

Step-by-step explanation:

a^2 + b^2 = c^2

so

32^2 + 60^2 = 68^2

1024 + 3600 = 4624

The distance that the tip of the base ball travels is 214 inches.

Given that Kyle is practicing his baseball swing

He made an arc with radius of 48 inches

We have to find the distance the tip of the base ball travels

Radius = 48 in and θ = 255 degrees

Arc length = θ/360 × 2πr

=255/360 ×2×3.14×48

=76867.2/360

=213.52 inches

=214 inches

Hence, the distance that the tip of the base ball travels is 214 inches.

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Answer:

-2x =14y=16x-4

No Solution

Step-by-step explanation:

Sorry there is no solution found

Maybe you asked if it was all real numbers, no solution and and etc. The answer would be no solution

Answer:

C

Step-by-step explanation

the weather usually gets colder in the winter and people usually decorate for Christmas late fall and early winter.

therefore, if there is snow on the ground and Christmas lights on houses its most likely winter.

The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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Answer:

6250

Step-by-step explanation:

Hope the answer is correct.

The one-sample t-test with a significance level of 5% fails to reject the null hypothesis that the mean survival time for all bronchial cancer patients who receive that treatment is equal to 90 days, and the P-value is 0.0974.

To determine whether the average survival time for all bronchial cancer patients who receive that treatment is different from 90 days, we can perform a one-sample t-test. The null hypothesis is that the mean survival time is equal to 90 days, and the alternative hypothesis is that the mean survival time is different from 90 days.

We can use the following formula to calculate the t-statistic:

\($t = \frac{\bar{x} - \mu}{s/\sqrt{n}}$\)

Substituting the given values, we get:

t = (111.3 - 90) / (62.9 / √12) = 1.83

Using a t-distribution table with 11 degrees of freedom, and a significance level of 5%, we find the critical values to be ±2.201.

Since the calculated t-value of 1.83 falls within the range of -2.201 to +2.201, we fail to reject the null hypothesis. This means that we do not have sufficient evidence to conclude that the average survival time for all bronchial cancer patients who receive that treatment is different from 90 days.

To find the P-value using a calculator, we can use the t-distribution with 11 degrees of freedom and calculate the probability of getting a t-value greater than 1.83 or less than -1.83 (since it is a two-tailed test). The P-value turns out to be 0.0974. Rounded to the nearest 4th decimal digit, the P-value is 0.0974.

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Complete question:

Twelve bronchial cancer patients who received a certain treatment had an average survival time of 111.3 days with a standard deviation of 62.9 days. Can we conclude from this that the average survival time for all bronchial cancer patients who receive that treatment will be different from 90 days? We will use a 5% significance level. Do the T-test on your calculator and enter the P-value below. Enter it as a decimal (not a percentage), and round it to the nearest 4th decimal digit.

Step-by-step explanation:

vector equals to 5 times 3 times 5 times 7 times 6 times 8 equals 260 ÷ 5454 equals 2 over 1,000 to 0.554

Answer:

this is a required answer.

Answer:

Not sure

Step-by-step explanation:

a) q= sin d

Angle is represented by d, and value is represented by q.

b) p = tan1 c

Angle is represented by c, and value is represented by p.

c) arccos n = ν

Angle is represented by n, and value is represented by v.

Given that,

We have to find the variables that indicate the angle and the value of the trigonometric function in each of the following equations.

In the following three equations:

(a) q = sin d;

(b) p = tan1 c; and

(c) arccos n = ν,

We know that,

a) q= sin d

Angle is represented by d, and value is represented by q.

b) p = tan1 c

Angle is represented by c, and value is represented by p.

c) arccos n = ν

Angle is represented by n, and value is represented by v.

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Answer:

Step-by-step explanation:

Two angles are complementary if their sum is equal to 90 degrees. So, we can write an equation:

4x + 14 + 3x - 15 = 90

Simplifying and solving for x, we get:

7x - 1 = 90

7x = 91

x = 13

Now, we can use x to find the measures of the two angles:

The first angle is 4x + 14 = 4(13) + 14 = 66 degrees.

The second angle is 3x - 15 = 3(13) - 15 = 24 degrees.

Therefore, the measures of the two angles are 66 degrees and 24 degrees.

We know that after 10 years, the laptop computer will be worth $100 or less. The smallest possible whole number answer is 10.

Assuming the missing value in the question is the purchase price of the laptop, let's call it "x".

According to the given information, the value of the laptop after one year will be 0.8x (80% of its value the year before).

Similarly, after two years, the value will be (0.8x) x 0.8 = 0.64x (64% of its value the year before).

We can continue this pattern and create an equation:

0.8^n x = 100

where n is the number of years it takes for the laptop to be worth $100 or less.

To solve for n, we can divide both sides by x and take the logarithm base 0.8:

log(100/x) / log(0.8) = n

Using a calculator, we get n = 10.

Therefore, after 10 years, the laptop computer will be worth $100 or less. The smallest possible whole number answer is 10.

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Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

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The solution set is n ≥ 4.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

We have the inequality,

4n -1  ≥ 15

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

4n - 1 +1  ≥ 15 +1

4n ≥ 16

n ≥ 4.

And N = 3, inequality does not hold.

Therefore, The solution set is n ≥ 4.

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Answer:

25(7)=175

Step-by-step explanation:

hope this help :3

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

:)

Answer:

\(\theta=79.98^{\circ}\)

Step-by-step explanation:

Given that,

The area of sector, A = 17.45 cm²

Radius, r = 5 cm

We need to find the angle in the given sector. The area of a sector is given by :

\(A=\dfrac{\theta}{360}\times \pi r^2\)

Where

\(\theta\) is the angle of sector

\(\theta=\dfrac{360\times A}{\pi r^2}\\\\\theta=\dfrac{360\times 17.45}{\pi \times (5)^2}\\\\\theta=79.98^{\circ}\)

So, the angle of sector is \(79.98^{\circ}\).

Answer:

Step-by-step explanation:

C

Answer:

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

Step-by-step explanation:

Given the following :

Let x = ball's actual air pressure

_________avg Recommended psi ___tolerance

Soccer ball____ 12. 05 ____________+3.55

Basketball _____8. 00_____________+0.5

Volleyball _____ 4.44 _____________ + 0.18

Actual air pressure = | average recommended psi + tolerance |

Hence ;

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

Answer:

$13.50 Per Hour

Step-by-step explanation:

We find the unit rate by dividing it to the number of hours at work

$54/4 = $13.50

The answer will be $13.50 per hour

Answer:

You earn $ 13.5 in an hour

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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To find the distance the pilot is from his starting position, we can break down the problem into two components the horizontal distance covered during the course correction. As a result, total distance is 460 + 460 × 0.9397 ≈ 460 + 432.662 ≈ 892.66 miles.

First, let's calculate the distance covered in the initial straight path. Since the pilot flies for 4 hours at a constant speed of 115 miles per hour, the horizontal distance covered can be found using the formula: distance = speed × time. Thus, the distance covered in the initial straight path is 115 × 4 = 460 miles.

Next, let's calculate the distance covered during the course correction. The pilot makes a course correction of 20° to the right of his original course and flies for 4 hours. We can use trigonometry to calculate the horizontal distance covered.

The horizontal distance can be found using the formula: distance = speed × time × cosine(angle). In this case, the speed is still 115 miles per hour, the time is 4 hours, and the angle is 20°. Thus, the distance covered during the course correction is 115 × 4 × cos(20°) = 460 × cos(20°) miles.

To find the total distance from the starting position, we need to sum the distance covered in the initial straight path and the distance covered during the course correction. So the total distance is 460 + 460 × cos(20°) miles.

Now, we can calculate the final answer by plugging in the values. Using a calculator, we find that cos(20°) is approximately 0.9397. Therefore, the total distance is 460 + 460 × 0.9397 ≈ 460 + 432.662 ≈ 892.66 miles. Rounding to the nearest mile, the pilot is approximately 893 miles from his starting position.

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The true statement is option (A) The equation |-x - 4| = 8 will have two solution

Consider each statement

All the statements are absolute value equation

Part A

|-x-4| = 8

We can write it in two way

-x - 4 = 8

- x = 12

x = -12

Then,

-(-x-4) = 8

x+4 = 8

x = 4

It has two solution

Part B

3. 4|0. 5x - 42. 1| = -20. 6

Divide both side by 3.4

|0.5x - 42.1| = -103/17

Absolute value cannot be negative

The equation has no solution

Part C

|1/2x - 3/4| = 0

1/2x - 3/4 = 0

1/2x = 3/4

x = 3/4 ÷ 1/2

x = 3/2

The equation has one solution

Part D

|2x - 10| = -20

Absolute value cannot be negative

This equation has no solution

Part E

|0. 5x - 0. 75| 4. 6 = 0. 25

Divide both side by 4.6

|0.5x - 0.75| = 5/92

The equation divided into two

0.5x - 0.75 = 5/92

x = 37/23

0.5x - 0.75 = -5/92

x = 32/23

The equation has two solution

Part F

|1/8x - 1| = 5

1/8x - 1 = 5

x = 48

1/8x - 1 = -5

x = -32

The equation has two solution

Therefore, the equation |-x - 4| = 8 will have two solution is true

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