Which of the following. Best describes the solution to the system of equations below?

Answer:

thank u for points

Answer:

okay sure lol

Step-by-step explanation:

The triangle with a base of 8 feet and a height of 6 feet has an area of 48 square feet.

The formula to calculate the area of a triangle is given by the equation: Area = (1/2) * base * height. We can use this formula to calculate the areas of the given triangles.

a) Triangle with base: 8 feet, height: 6 feet:

Area = (1/2) * 8 feet * 6 feet = 24 square feet.

b) Triangle with base: 16 feet, height: 6 feet:

Area = (1/2) * 16 feet * 6 feet = 48 square feet.

c) Triangle with base: 12 feet, height: 4 feet:

Area = (1/2) * 12 feet * 4 feet = 24 square feet.

d) Triangle with base: 12 feet, height: 8 feet:

Area = (1/2) * 12 feet * 8 feet = 48 square feet.

e) Triangle with base: 2 feet, height: 24 feet:

Area = (1/2) * 2 feet * 24 feet = 24 square feet.

From the calculations, we can see that only triangles b) and d) have an area of 48 square feet. Therefore, the correct answer is b) the triangle with a base of 16 feet and a height of 6 feet.

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Answer:

Step-by-step explanation:

Abcd

Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

Answer:

A because it has the same value of the b but B is not the same value as A so their for it is A and A has the same value as The equivalence in the story Anna has 225 runners to give water bottles to

For 225 runners, bottled water will cost $236.25, and jugs of water with cups will cost $265. For 275 runners, bottled water will cost $288.75, and jugs of water with cups will cost $275.

In order to find out how much each option would cost for 225 runners and 275 runners respectively, we need to substitute the number of runners (r) into the given equations. For bottled water, the equation is c = 1.05r, and for jugs of water with cups, the equation is c = 0.2r + 220.

a. If there are 225 runners:

b. If there are 275 runners:

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Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

The general formula to solve this problem is the following:

Where, 200,000 is the money inherited, H is the cost of building the house and I is the money invested.

In order to find the amount of money invested, we need to use, the simple interest formula. The simple interest formula is the following:

where,

A is the amount earn, $8400 in this case

I is the amount invested,

r is the interest rate and

t is time, 1 year in this case

For this example, since the investment was divided in two parts, there are two values for r, therefore the formula to find 'I' will be the following:

now, let's solve for I . I will show you the steps

Therefore, the value invested was 60,000

If I = 60,000, then the value to build the house is $140,000

the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.

To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.

In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.

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Answer:

x=16.5

Step-by-step explanation:

12.7 + 3.8 = x - 3.8 + 3.8

16.5 = x

Answer:

x = 16.5

Step-by-step explanation:

In this equation, we're trying to figure out the value of x, or what it's equivalent to in this particular situation. Let's look at what we have right now:

12.7 = x - 3.8

How can we get x by itself? Well, the thing that immediately comes to my mind is adding 3.8 to both sides. This will isolate x and help is figure out what it's equal to. So, we start out with:

12.7 = x - 3.8

...and then we add 3.8 to both sides to get:

16.5 = x

And that's the value of x. We can check our answer by replacing x with 16.5 and seeing if both sides of the equation are equivalent:

12.7 = 16.5 - 3.8?

12.7 = 12.7

So, we're correct. If you need any more help, let me know! :)

The results of the experiment are likely to be invalid mostly because the treatment group and control group were not the same size.

In an experiment, the treatment group are those groups that receives the test drug or the group that the researcher manipulates or changes. It is also called an independent variable.

The control in an experiment is defined as the group in an experiment that remains unaffected by other variables and are not given the testing drug.

From the given experiment, the number of volunteers selected are 60 with 40 men and 20 women.

The result of the experiment is likely going to be invalid since the number of control group and treatment group are not the same which should be.

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Answer:

(4,30)

Step-by-step explanation:

3x+y=42

y=8x-2

3x+8x-2=42

11x-2=42

+2 +2

11x=44

÷11 +11

x=4

So, Yanika is approximately 29.1 feet from the screen. So, the height of the top of the screen in terms of x is 11.4x + 171.2.

An angle is a geometric figure that is formed by two rays or line segments that share a common endpoint called a vertex. The rays or line segments are referred to as the sides or legs of the angle. Angles are measured in degrees or radians and are used to measure the amount of rotation or turn between two intersecting lines or objects.

Here,

a. Let h be the height of the screen. Then we have:

tan(30) = h/(x+15) and tan(45) = h/x

Solving for h in each equation:

h = (x+15)tan(30) and h = xtan(45)

Since both expressions equal h, we can set them equal to each other and solve for x:

(x+15)tan(30) = xtan(45)

x(tan(45)-tan(30)) = 15tan(30)

x = 15tan(30)/(tan(45)-tan(30))

x ≈ 14.1

So, the height of the top of the screen in terms of x is:

h = (x+15)tan(30) ≈ 11.4x + 171.2

b. We already found x in part (a), so we can simply add 15 to get:

x + 15 ≈ 29.1

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Answer:

2

Step-by-step explanation:

to solve this equation you must find what you multiply A to to equal A'

you can solve this by dividing 18 by 9

18 / 9 = 2

that is your answer

Answer:

Step-by-step explanation:

The visitor might be exactly 54 inches or above 54 inches.

To solve the first equation, f(x) = x^2 - 7x^2 + 2x + 9 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, the equation is x^2 - 7x^2 + 2x + 9 = 0, so a = 1, b = -7, and c = 2.

Plugging in these values into the quadratic formula, we have:

x = (-(-7) ± √((-7)^2 - 4(1)(2))) / (2(1))

Simplifying further:

x = (7 ± √(49 - 8)) / 2

x = (7 ± √41) / 2

Now, let's approximate the roots up to 4 significant digits:

x ≈ (7 + √41) / 2 ≈ 6.7053

x ≈ (7 - √41) / 2 ≈ 1.3259

Therefore, the roots of the equation f(x) = 0 are approximately x = 6.7053 and x = 1.3259.

For the second equation, x^2 + 2x + 4 = 0, we can also use the quadratic formula. In this case, a = 1, b = 2, and c = 4.

Applying the quadratic formula:

x = (-2 ± √(2^2 - 4(1)(4))) / (2(1))

x = (-2 ± √(4 - 16)) / 2

x = (-2 ± √(-12)) / 2

Since the term under the square root is negative, we have complex roots. Simplifying further:

x = (-2 ± √(12)i) / 2

x = -1 ± √3i

Therefore, the roots of the equation x^2 + 2x + 4 = 0 are approximately x = -1 + √3i and x = -1 - √3i.

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Answer:

The slope is −4 . The equation is in slope-intercept form, y=mx+c , where m is the

Step-by-step explanation:

thanks me

Answer:

182 songs

Step-by-step explanation:

Given :

Celtic Thunder albums = 5

Irish Tenor albums = 3

Frank Patterson album = 6

Number of songs per album = 12

Number of repeat songs = 14

Total number of songs in playlist :

(Σ(Number of albums * number of songs ​per album)) + number of repeat songs

(12 * 5) + (12 * 3) + (12 * 6) + 14

60 + 36 + 72 + 14 = 182 songs

Independent probability is used to calculate the probability of getting five hits in a game. The probability of hitting in each at-bat is 0.352, resulting in a probability of 0.8%. The assumption is that the second at-bat is independent of the first. The probability of not getting any hits in all five at-bats is 0.648, resulting in a probability of 7.4%. The probability of getting at least one hit is 92.6%, with a probability of 0.074.

a) The type of probability shown in this situation is called independent probability.

b)Probability of getting 5 hits in tonight's game: Since there are five times at-bat and each of them is independent of each other, we can use the multiplication rule of independent probabilities.

The probability of hitting in each at-bat is 0.352,

then the probability of getting five hits is given as:0.352 × 0.352 × 0.352 × 0.352 × 0.352 ≈ 0.008 or 0.8%

c) The assumption is that his second at-bat is independent of his first at-bat.

d) Probability of not getting any hits in the game:

The probability of not hitting in each at-bat is 1 − 0.352

= 0.648.

Then, the probability of not getting any hit in all five at-bats is:0.648 × 0.648 × 0.648 × 0.648 × 0.648 ≈ 0.074 or 7.4% (rounded to three decimal places).

e) Probability of getting at least one hit in the game: If the probability of not getting any hit is 0.074, then the probability of getting at least one hit is the complement of the probability of getting no hits.

P(at least one hit) = 1 − P(no hits)

= 1 − 0.074

= 0.926 or 92.6% (rounded to three decimal places).

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Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

The electric field vector in this region is calculated to be:

E = (Ex, Ey, Ez) = (-?y^2z - 4y, -?2xyz - 4x, -?xy^2)

The electric field in this region is given by the negative of the gradient of the electric potential. The gradient of V = ?xy2 z + 4xy can be found by taking the partial derivatives with respect to x, y, and z. Taking the partial derivatives we have:

∂V/∂x = ?2xyz + 4xy
∂V/∂y = ?x2yz + 4xz
∂V/∂z = ?x2y2 + 4xy

Therefore, the electric field in this region is given by:

E = -(∂V/∂x, ∂V/∂y, ∂V/∂z) = (-?2xyz - 4xy, -?x2yz - 4xz, -?x2y2 - 4xy)

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The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

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The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

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Jasmine can run in one hour is 7.25 miles.

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Jasmine can run 4\(\frac{5}{6}\) miles in \(\frac{2}{3}\) of an hour.

\(\frac{2}{3}\) of an hour = 4\(\frac{5}{6}\) miles

                     = \(\frac{29}{6}\) miles

By using unitary method we will find the value of an hour.

1 hour = \(\frac{\frac{29}{6} }{\frac{2}{3} }\)

          =  \(\frac{29}{6}\) × \(\frac{3}{2}\)

          = \(\frac{29}{4}\)

1 hour  = 7.25 miles

Hence, Jasmine can run in one hour is 7.25 miles.

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Answer:

We are required to write an inequality for the expression and also solve it

The number y is at least 10.9

let

the unknown number = y

The sum of a number y and 6.2 = y + 6.2

y + 6.2 ≤ -4.7

y ≤ -4.7 - 6.2

y ≤ 10.9

Step-by-step explanation:

You can't, the only factor in both is 1

1(a^4 + 4b^4)

Hope this helps!

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is \(\sqrt{2^5}\).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as follows:-

\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)

Therefore the correct answer is option B which is \(\sqrt{2^5}\).

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A graph of four points with integer coordinates that are each 3 units away from (2, 3) is shown in the image attached below.

In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N).

Where:

In order to write an equation that models the four points with integer coordinates that are each 3 units away from (2, 3), we would have to apply a set of translation to f(x) by 3 units:

A (5, 3)

B (-1, 3)

C (2, 6)

D (2, 0)

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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