What is a solution of a system of linear equations in three variables?

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

A= 180-41=  

A= 139 degrees

B= 180-41

B = 139 degrees

Step-by-step explanation:

On a straight line its 180 degrees

A is separating a straight line with a 41-degree angle so.  

A= 180-41  

A= 139 degrees

B is also separating a straight line with a 41-degree angle so.

B= 180-41

B = 139 degrees

Answer:

Hi

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

16.5 minutes

Step-by-step explanation:

2508/152 = 16.5

Check: 152 x 16.5 = 2508

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

9514 1404 393

Answer:

 2×10¹

Step-by-step explanation:

For division, mantissas divide, and exponents subtract.

Answer:

2*10^1

Step-by-step explanation:

Process

When you divide powers, they can be subtracted -- numerator - denominator in powers

The numbers divide the way you normally would if the question is 6/3 = 2

Numerator power = 3

denominator power = 2

Solution

6*10^3/ 3*10^2 = (6/3) * 10^(3 -2) = 2 * 10^1 = 20

20 = 2 * 10^1

Answer:

72

Step-by-step explanation:

-4 times 2 is -8.  -8 times -9 is 72 because the two negatives cancel each other out.

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer:

Pythagorean Theorem: a squared + b squared = c squared

Pythagorean Theorem: implies in every single triangle

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

Car travels at 60 miles/1 hour

1 hour has 60 minutes

Car travels at 60 miles/60 minutes, which can be reduced to 1 mile/1 minute

In 2 minutues, the car travels two miles

The only set of side lengths that can form a triangle is 9, 4, 8.

Option A is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if each of the given sets of side lengths satisfies this condition:

A.

9, 4, 8

9 + 4 > 8 ✓

9 + 8 > 4 ✓

4 + 8 > 9 ✓

All three inequalities are true, so these side lengths can form a triangle.

B.

14, 7, 6

14 + 7 > 6 ✓

14 + 6 > 7 ✓

7 + 6 > 14 ✗

The last inequality is false, so these side lengths cannot form a triangle.

C.

3, 8, 1

3 + 8 > 1 ✓

3 + 1 > 8 ✗

8 + 1 > 3 ✓

The second inequality is false, so these side lengths cannot form a triangle.

Therefore,

The only set of side lengths that can form a triangle is A. 9, 4, 8.

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Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

Hii!

___________________________________________________________

Answer:

Step-by-step explanation:

To solve the inequality, we will divide both sides by -3. Upon doing this we obtain

\(\boldsymbol{x > -18}\)

NB: The sign of the inequality changes every time we divide, or multiply, both sides by a negative number.

NB2: The x's greater than -18 (like -17, -16, etc.) will satisfy this inequality and make it a true statement.

--

Hope that this helped! Best wishes.

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The appropriate test statistic is approximately 1.89.

To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.

The test statistic can be calculated using the following formula:

\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)

where:

mean1 and mean2 are the sample means of the two populations,

s1 and s2 are the sample standard deviations of the two populations,

n1 and n2 are the sample sizes of the two populations,

Given the following information:

For population 1 (20 to 29-year-old drivers):

Sample mean (mean1) = $4586

Sample standard deviation (s1) = $2302

Sample size (n1) = 40

For population 2 (30 to 49-year-old drivers):

Sample mean (mean2) = $3669

Sample standard deviation (s2) = $2029

Sample size (n2) = 40

Calculate the test statistic (t):

\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)

Calculating this expression:

t ≈ 917 / √(132360.1 + 102996.025)

t ≈ 917 / √(235356.125)

t ≈ 917 / 485.086

t ≈ 1.89

Therefore, the appropriate test statistic is approximately 1.89.

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Answer:

-(22) = -22

When there is no number given but a sign given in front of the brackets it means there is 1.

-(22) is the same as -1(22) = -22

Hope this helps, thank you :) !!

Answer:

90002

Step-by-step explanation:

because 72+ 826+288 is 90002

Answer:

A option is correct

Step-by-step explanation:

We know that one foot contain 12inches so 12 inches is equal to one foot

There are 36 inches is equivalent to 3 feet which scales is the correct answer would be option (E).

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We know that one foot contains 12 inches.

Therefore 12 inches equal one foot

According to option (E),

36 inches is equivalent to 3 feet.

Therefore, the correct answer would be an option (E).

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The opening balance is 100.00 A. Its placement on the credit side implies funds deposited before the statement period. The specific impact on Gloria's finances and the value of B are not provided.

Based on the provided information, let's address each question:

3.2.1 The opening balance is 100.00 A (currency is not specified). This amount represents the initial balance in the bank account before any transactions occur.

3.2.2 When the opening balance is on the credit side of the bank statement, it indicates that there were funds deposited or credited to the account before the statement period. In this case, the opening balance of 100.00 A suggests that there were funds deposited or credited into the account before the statement period began.

3.2.3 If Gloria decides to withdraw money at Capital Bank ATM, her account balance will decrease by the amount of the withdrawal. The specific amount of the withdrawal is not mentioned in the provided information, so we cannot determine the exact impact on her finances. However, it's important to note that ATM withdrawals may also incur transaction fees, which could further reduce her account balance.

3.2.4 Based on the information given, the value of B is not explicitly provided. It seems to be missing or not specified in the provided data. Without knowing the value of B, it is not possible to calculate it.

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Answer:

2.69 approximately 3

Step-by-step explanation:

53⁰+80⁰+A=180⁰(sum of angles on a triangle)

133⁰+A=180

A=180-133

A=47⁰

using sine rule

2/sin 47 = b/sin 80

b sin47 = 2 sin 80

b= 1.9696/0.7314

b=2.69 approximately 3

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

Answer:

1200 centimeters=12 meters

Step-by-step explanation:

100 centimeters in a meter

so

100x12=1200

9514 1404 393

Answer:

  3/11 were left

Step-by-step explanation:

A packet of oranges is 11/11. Subtracting 4/11 +4/11 = 8/11 from that leaves ...

  11/11 -8/11 = (11 -8)/11 = 3/11

3 elevenths were left.

Step 1: Calculate

We calculate the square root of 23 to be:

√23 = 4.79583152331272

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

4.79

Step 3: Round

Round 4.79 so you only have one digit after the decimal point to get the answer:

4.8

To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.

The square root of the number 23 is 4.8 after using the division method the answer is 23.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 23 which is a real number and positive number.

As we know we can find the square root of a positive numbers only, the square root of a nagative number cannot exist

The square root of the number 23 = √23

The sign √ is a radical sign.

After using the division method;

√23 = 4.7958

After reducing the number up to two decimal places:

= 4.79

Rounding the above number to the tenth:

= 4.79 ≈ 4.8

4.8x4.8 = 23.04 ≈ 23

Thus, the square root of the number 23 is 4.8 after using the division method the answer is 23.

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A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.

B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.

It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.

A. By evaluation; using the Distributive property; we have;

3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.

Also; 5(m - 2) = 5m - 10.

Therefore, the two expressions are equivalent.

B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.

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The difference between the basketball team's and the football team's overall maximum points is 7,440.

A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games

We learn the following from the issue:

F = (1/2)B

We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:

B/2 - F/2 = 20

Substituting F = (1/2)B, we get:

B/2 - (1/2)B/2 = 20

Simplifying, we get:

B/4 = 20

Multiplying both sides by 4, we get:

B = 80

Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.

The difference between 8000 and 560 is:

8000 - 560 = 7440

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The measure of angle p using sine and cosine rule is 69.9°.

Given that, ∠POQ=111°, OP=5 units and PQ=9 units.

The cosine rule as a²=b²+c²−2bc cos A and b²=a²+c²−2ac cos B.

Now, from figure p²=5²+9²-2×5×9 cos 111°

⇒ p²=25 + 81 -2×5×9 cos 111°

⇒ p²=25 + 81 -90×(-0.35837)

⇒ p²= 106+32.2533

⇒ p²=138.2533

⇒ p=11.75

Now, using sine rule a/sin A = b/sin B = c/ sin C.

That is, 11.75/sin P = 9/sin 111°

⇒ 11.75/sin P = 9/sin 111°

⇒ 11.75/sin P = 9/0.93358

⇒ 11.75/sin P = 9.64

⇒ sin P =11.75/9.64

⇒ sin P =1.22

⇒p= 69.9°

Therefore, the measure of angle p using sine and cosine rule is 69.9°.

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Answer:

x=405

28.7

x=450

Step-by-step explanation:

Answer:

A = 3

B = -1

C = 5

Step-by-step explanation:

y - 7 = 3(x - 4)    Distribute the 3

y - 7 = 3x -12  subtract y from both sides

-7 = 3x -y -12  Add 12 to both sides

5 =3x -y  Flip the equation around the equal sign

3x -y = 5

The 3 is the A, -1 is the B and 5 is the C.

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Given:

Height of prism, h = 10 in

Width of prism, w = 3 in

Length of prism, L = 7 in

Let's find the lateral surface area of the rectangular prism.

To find the lateral surface area of the rectangular prism, aply the formula below:

Where P is the perimeter of the base.

h is the height of the prism.

To find the perimeter of the rectangular base, apply the perimeter of a rectangle formula:

P = 2w + 2L

Thus, we have:

Therefore, the lateral surface area of the given rectabgular prism is 200 square inches.

ANSWER:

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²