If there are 14 people, and each person has 2 coins, there are ____ times as many coins as people.

\(\frac{1}{11}\), \(\frac{1}{9}\), \(\frac{1}{5}\)

The statement  "If gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, then gcd(a,c) ≠ 1." is false, and a counterexample is gcd(a) = 2, gcd(b) = 2, gcd(c) = 4. In this case, gcd(a,b) = gcd(b,c) = 2, but gcd(a,c) = 4, which contradicts the statement.

To prove that the given statement  "If gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, then gcd(a,c) ≠ 1." is false we can look at a counterexample:

Let a = 6, b = 4, and c = 9.

gcd(a,b) = gcd(6,4) = 2 (which is not 1)
gcd(b,c) = gcd(4,9) = 1 (which is 1)

Although gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, gcd(a,c) = gcd(6,9) = 3, which is not equal to 1. This counterexample shows that the statement is false.

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Answer:

65 degree angle but when straight 180 degree angle

Step-by-step explanation:

sry if wrong :)

Answer:

x = 200/3

Step-by-step explanation:

x/10 = 200/30

x × 30 = 200 × 10

30x = 2000

x = 2000 ÷ 30

x = 200/3

Thus, The value of x is 200/3

-TheUnknownScientist

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

Answer:

Triangle B

Step-by-step explanation:

It is possible to determine if a triangle contains a right angle using Pythagoras' theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

so when we look at triangle B if we squared and then added the two shorter sides 3/7 and 4/7 we get 25/49 which is the square of the longer side 5/7

so according to the Pythagoras theorem it's a right angle triangle

The critical z-value using a z-table or calculator:

Critical z-value = ±2.576.

What is null hypothesis's?

A null hypothesis is a statement or assumption that there is no significant difference or relationship between two or more variables or groups. In statistical hypothesis testing, the null hypothesis is usually denoted as H0 and is tested against an alternative hypothesis (Ha), which is the hypothesis that there is a significant difference or relationship between the variables or groups being studied.

According to the question:
(a) The null hypothesis is that there is no significant difference in the average amount of money spent per day between the two groups. The alternative hypothesis is that there is a significant difference in the average amount of money spent per day between the two groups.

Since we are not given any information about the direction of the difference, we will use a two-tailed test. The appropriate test to use in this situation is the two-sample t-test.

(b) To find the critical z-value, we first need to calculate the degrees of freedom for the test:

df = (n1 + n2 - 2) = (25 + 27 - 2) = 50

Using a significance level of 0.01, we find the critical z-value using a z-table or calculator:

Critical z-value = ±2.576

(c) To find the test value, we will first calculate the pooled standard deviation using the formula:

\(sp = \sqrt{((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)}\)

where s1 and s2 are the sample standard deviations and n1 and n2 are the sample sizes. Substituting the given values, we get:

\(sp = \sqrt{((24 * 5.3^2) + (26 * 6.8^2)) / 50} = 6.083\)

Next, we calculate the t-value using the formula:

\(t = (x1 - x2) / (sp * \sqrt{1/n1 + 1/n2})\)

where x1 and x2 are the sample means. Substituting the given values, we get:

\(t = (38.6 - 37.4) / (6.083 * \sqrt{1/25 + 1/27}) = 1.213\)

Since the absolute value of the test value is less than the critical z-value, we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant difference in the average amount of money spent per day between the two groups.

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The height of the baseball after 1.7 seconds is 18.85feet

Given the function for calculating the height of the baseball from the table expressed as:

\(y=\frac{1}{2}x + 18\) where:

In order to get the height of the baseball after 1.7 seconds, we will simply substitute x = 1.6 into the expression as shown:

\(y=\frac{1}{2}(1.7)+ 18\\y=0.85 + 18\\y= 18.85 feet\)

Hence the height of the baseball after 1.7 seconds is 18.85feet

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To answer that question we need to apply the equation for vertical shooting. This particular case implies in fact to steps

Solution is:

h = 40.085× t -  (1/2)× g× t²  equation for the path

h(₁,₇) = 21.66 f

The annexed table gives information to determine Vo ( initial speed of the ball)

h the path of the ball is:

h = V₀× t - (1/2)×g×t²        

Let´s take the second point of the table  ( 1 ; 24 )

Then  

h = 24   = V₀× (1) - (32.17)×(1)²/2

24 = V₀ - 16.085

V₀  = 40.085  ft/sec

With the value of V₀ we can get the curve (model of the movement)

h = 40.085× t -  (1/2)× g× t²    (1)

Now for t = 1.7 seconds, by substitution en equation (1)

h = 40.085× 1.7 - (1/2)× 32.17× (1.7)²

h = 21.66 f  ( which means the ball is already going down

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Answer:

The formula is \(a_n = 3n-2\)

The 14th term is 40, in other words, \(a_{14} = 40\)

========================================================

Explanation:

The given sequence is 1, 4, 7, 10, ...

Subtract each adjacent term:

This shows that each term is increasing by 3. This is the common difference, so d = 3.

The first term is \(a_1 = 1\)

The nth term of the arithmetic sequence is...

\(a_n = a_1 + d(n-1)\\\\a_n = 1 + 3(n-1)\\\\a_n = 1 + 3n-3\\\\a_n = 3n-2\\\\\)

As a check, let's plug in say n = 3 to find that:

\(a_n = 3n-2\\\\a_3 = 3(3)-2\\\\a_3 = 9-2\\\\a_3 = 7\\\\\)

The third term is 7, which matches with the sequence given to us. I'll let you confirm the other values.

-----------

We'll repeat this idea but now for n = 14 to find the 14th term of the sequence.

\(a_n = 3n-2\\\\a_{14} = 3(14)-2\\\\a_{14} = 42-2\\\\a_{14} = 40\\\\\)

The 14th term is 40.

You can make a table of values to help confirm the answer. In the first column you'll have the values of n (1,2,3,...) all the way up to 14. The second column will consist of the sequence 1, 4, 7, 10, ... each time going up by 3 until you reach the 14th term of 40.

Answer:

18.75

Step-by-step explanation:

25% of 75 =

0.25 x 75 =

18.75

Hope that helps!

Answer:

18.75

Step-by-step explanation: I don't really know what work to show it was all mental

Since t cannot be infinity in this case, we conclude that there is no maximum number of items that the worker can produce according to the function.

The number of items produced on the first day can be found by substituting t = 1 into the function P(t):

P(1) = 24 - 24e^(-0.3*1) = 13.24 (rounded to two decimal places)

To find the maximum number of items that the worker can produce, we can take the derivative of the function P(t) with respect to t and set it equal to zero:

P'(t) = 24e^(-0.3t)(0.3) = 7.2e^(-0.3t)

7.2e^(-0.3t) = 0

e^(-0.3t) = 0

t = infinity

However, we can see that as t approaches infinity, P(t) approaches 24. So, we can say that the worker can approach but never exceed 24 items.

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Answer:

Step-by-step explanation:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

1/3 x 3/4

Step-by-step explanation:

in this case, 3/4 is correct because it is 3 of 4 shaded.

hope this helps!

Hii! Its your friend Nat! :)

Known: 3/4 of the model is shaded, we are multiplying.

The model repersents 3/4

This is because only 3 out of 4 pieces are shaded in.

If all pieces were shaded it would be 4/4 or 1 whole.  

1/3 x 3/4  is 3/12

3/12 simplifed is 1/4

Hope dis helps!

Brainliest?

~Learning with  Natalia~

Answer:

24 kilograms of catfish

Step-by-step explanation:

Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.

The probability that the pirate misses the Captain's ship, but the Captain hits is 18/35.

Since we are interested in the probability of the pirate missing the Captain's ship and the Captain hitting

The probability of the pirate missing the Captain's ship is:

Probability = (Probability of pirate missing) * (Probability of Captain hitting)

           = (6/7) * (3/5)

           = 18/35

Therefore, the probability that the pirate misses the Captain's ship, but the Captain hits is 18/35.

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The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

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Answer:

lol i found it

Step-by-step explanation:

1200 is the value when rounded 1248 to nearest 100.

1200-48

The calculations provided yield the following results: [A] 1.77 x \(10^3\), [B] 68.022, and [C] 44.500.

[A] To solve (4.733x\(10^{-3}\)) * (6.43x\(10^5\)) / \((2.300x10^2)^2,\) we perform the operations following the order of operations (PEMDAS/BODMAS). First, we calculate the value inside the parentheses: \((2.300x10^2)^2\) = 2.300x\(10^2\) * 2.300x\(10^2\) = 5.290x\(10^4\). Then, we substitute the values and perform the remaining calculations: (4.733x\(10^{-3}\)) * (6.43x\(10^5\)) / 5.290x\(10^4\)= 3.029x\(10^3\) / 5.290x\(10^4\)= 5.722x\(10^{-2}\). Since the problem asks for the answer in significant figures, we need to round the result. The value 5.722x\(10^{-2}\) rounded to three significant figures is 1.77x\(10^3\).

[B] In the expression 62.400 + 17.222 - 11.6, we perform the addition and subtraction operations in order from left to right: 62.400 + 17.222 = 79.622, and then subtracting 11.6 from 79.622 gives us the result 68.022.

[C] To round 44.5 to the nearest thousandth, we look at the digit in the thousandths place (the third decimal place). Since the digit is 5, we round up the previous digit. Therefore, 44.5 rounded to the nearest thousandth is 44.500.

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Tori earns more money.

Given data :

Tori : $24/h; 150% OT

Calculate Tori's overtime (OT) pay

Convert OT rate to decimals --> 150% = 1.

Tori's OT wage is 1.5*$24 = $36

Tori worked for 20h OT. (60h-40h = 20h)

(Regular pay X regular hours worked) + (OT wage X OT hours worked)

= ($24 X 40h) + ($36 X 20h)

= $1680

Matias : 5% commission

Convert 5% to decimals --> 0.05

(Jewelry sold) X (commission rate)

= $21000 X 0.05

= $1050

Since $1680 > $1080, Tori earns more.

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Answer:

The average speed is 800 km/h

Step-by-step explanation:

The first thing to do here is to completely write the speed in hours.

We have 9 hours 45 minutes

45 minutes in hours is 45/60 = 3/4 = 0.75

So 9 hours 45 minutes = 9.75 hours

The average speed mathematically = Total distance/ Total time

That would be;

7800/9.75 = 800 km/h

Answer:

x plus 1

Step-by-step explanation:

Answer:

x+1

Step-by-step explanation:

if you simplify the equation, you will get x+1

first, you take the parentheses away.  The equation becomes

3x-2x-4+5

then you combine like terms

x+1

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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Answer:

4

Step-by-step explanation:

20x+160=10x+200

20x-10x=200-160

10x=40

x=4

Answer:

-8z+1

term:2

variable:z

coefficient:-8

constant:1

2

term:1

variable:nil

coefficient:nil

constant:2

y-7.7

term:2

variable:y

coefficient:nil

constant:-7.7

The solution is given below.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

now, we get,

-8z+1

term:2

variable: z

coefficient:-8

constant:1

again,

2

term:1

variable : nil

coefficient : nil

constant:2

now,

y-7.7

term:2

variable : y

coefficient : nil

constant:-7.7

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Question: Dentify the parts of the following algebraic expression.

-8z + 1

2

y - 7.7

Term:

Variable:

Coefficient:

Constant:

True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.

Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.

The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.

This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.

By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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