Find an ordered pair (x, y) that is a solution to the equation.
2x- y=6
(x, y) = (__,__)

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer:

5² +5²=20

Step-by-step explanation:

x=20

ok hello my name is Santiago i am fron Colombia

The area of the triangle is approximately 27.71 square units.

We can use the formula for the area of a triangle given two sides and the included angle:

Area = 1/2 * |u| * |v| * sin(theta)

where |u| and |v| are the magnitudes of the vectors, and theta is the angle between them.

First, we can find the magnitude of each vector:

Next, we can find the vector difference ~u - ~v:

~u - ~v = (3-6, 3-0, 3-6) = (-3, 3, -3)

Then, we can find the magnitude of ~u - ~v:

|~u - ~v| = √((-3)² + 3² + (-3)²) = 3√(2)

Now, we can find the angle between ~u and ~v using the dot product:

theta \(= cos^{-1(2\sqrt(6))}\) ≈ 30.96 degrees

Finally, we can plug in the values to find the area:

Therefor, the area is ≈ 27.71 square units.

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Answer:

answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

1

2

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:

r

=

1

2

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of

a

1

=

200

and

r

=

1

2

.

a

n

=

(

200

)

⋅

(

1

2

)

n

−

1

Simplify the expression.

Tap for more steps...

a

n

=

200

⋅

1

2

n

−

1

Combine

200

and

1

2

n

−

1

.

a

n

=

200

2

n

−

1

The common ratio is 1/2.

Given that

The sequence 200, 100, 50, 25.

The common ratio is determined by dividing the second term by the first term.

\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\)

Here, the second term is 100 and the first term is 200.

Then,

The common ratio is;

\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}\)

\(\rm Common \ ratio = \dfrac{1}{2}\)

The common ratio between third term 50 and second term 100 is;

\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}\)

Hence, the common ratio is 1/2.

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Answer: Assume p to be the number of players, then, the equation which describes this problem is,

844.50+ 68 p = 1592.50844.50+68p=1592.50

68 p = 74868p=748

p = 11p=11.

The number of players, the team can bring to the tournament are 11.

Step-by-step explanation:

Answer: They can bring 11 players to the tournament.

Step-by-step explanation:

$1592.50 - $844.50= $748

Divide $748 by $68, then you will get 11. And 11 will be the answer.

The final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

\(\sum_{i =1}^{n}x_{i}\)  follows an approximately normal distribution with a mean \(n\mu\) and standard deviation \(\sqrt{n }\sigma\)

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

\(Y = \sum_{i =1}^{10}x_{i}\)

Distribution of Y is normal with,

Mean = \(\mu _{y}=10*4 = 40\) and standard deviation \(= \sigma _{y}=\sqrt{10}*0.75 = 2.3717\)

a)

P( Y < 42.5 )

Using normal distribution formmula,

\(f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

=NORMDIST( x, mean, SD , 1 )      

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 )  = 0.8541

b)

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

\(f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

P( Y < 40.5 )  =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165  = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

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Answer:

1/2

Step-by-step explanation:

First, convert 1 1/3 to improper fraction:

1 1/3 = 4/3

Second, make denominator the same by multiplying 4/3 by 2/2:

4/3 * 2/2 = 8/6

Third, subtract:

8/6 - 5/6 = 3/6

Fourth, simplify:

3/6 = 1/2

The correct answer for the difference between \(1\dfrac{1}{3}\)  and \(\dfrac{5}{6}\)  is  \(\dfrac{1}{2}\) .

Given expression:

\(1\dfrac{1}{3} - \dfrac{5}{6}\)

convert \(1\dfrac{1}{3}\)  to an improper fraction:

\(1\dfrac{1}{3} = \dfrac{3*1 + 1}{3}\)

= \(\dfrac{4}{3}\)

Now, the expression becomes:

\(\dfrac{4}{3} - \dfrac{5}{6}\)

To subtract these fractions,

The common denominator is 6.

Rewrite the fractions with the common denominator:

\(\dfrac{4}{3}*\dfrac{2}{2}\)

= \(\dfrac{8}{6}\)

The expression becomes:

\(\dfrac{8}{6} - \dfrac{5}{6}\)

Subtract, the numerators while keeping the common denominator:

= \(\dfrac{8-5}{6}\)

= \(\dfrac{3}{6}\)

Divide  numerator and denominator by greatest common factor (which is 3):

3 ÷ 3 = 1

6 ÷ 3 = 2

= \(\dfrac{1}{2}\)

The correct answer is for \(1\dfrac{1}{3} - \dfrac{5}{6}\)   is  \(\dfrac{1}{2}\).

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If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.

To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.

Degree of Polynomials:

If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.

Limits:

Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.

Infinity:

If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.

By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.

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Answer:

Total different numbers = 400

Step-by-step explanation:

Assume;

Smallest number bigger than 7999( multiple of 5) = 8,000

largest 4 digit number multiple of 5) = 9,995

Computation:

a = 8,000

d = 5

an = 9,995

an = a + (n-1)d

9,995 = 8,000 + (n-1)5

1,995 = (n-1)5

399 = n-1

n = 400

Total different numbers = 400

Using the symmetry property of the graph of y = f(x) with respect to the line x = -3, we can find another value for the function. Since f(-1) = -2, the corresponding point on the other side of the line x = -3 is (-5, -2), implying that f(-5) = -2.

Given that the graph of y = f(x) is symmetric with respect to the line x = -3, we know that if a point (a, b) lies on the graph, then the point (-6 - a, b) also lies on the graph. This symmetry property allows us to find another value for the function.

Given that f(-1) = -2, we can determine the corresponding point on the other side of the line x = -3 by mirroring the given point. The x-coordinate of the mirrored point is obtained by subtracting the x-coordinate of the given point from -6. In this case, -6 - (-1) = -5. So, the mirrored point is (-5, -2), and we can conclude that f(-5) = -2.

In conclusion, by utilizing the symmetry property of the graph with respect to the line x = -3, we find that f(-5) = -2.

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Answer:

Step-by-step explanation:

The correct statement that describes the graph of y = f(x − 7) + 3 is:

D. It is the graph of f translated 3 units up and 7 units to the right.

Explanation:

Starting with the original function f(x) = 3√x, the given transformation y = f(x − 7) + 3 indicates that the graph has undergone two transformations: a horizontal translation (shifting) of 7 units to the right and a vertical translation of 3 units up.

The function f(x − 7) represents a horizontal translation of 7 units to the right, moving the entire graph horizontally. Then, adding +3 to the function results in a vertical translation of 3 units up.

Therefore, the correct statement is that the graph of y = f(x − 7) + 3 is the graph of f translated 3 units up and 7 units to the right.

Answer:

2,400

Step-by-step explanation:

if you buy an item at $3000 with 20% discount, you will pay 3000 - 600 = 2400 dollars.  

i hope it helps :)

The location of point G on the given number line is 4.

Given that, partitions the directed line segment from F to D into an 8:5 ratio.

A measureable path between two points is referred to as a line segment. Line segments can make up the sides of any polygon because they have a set length.

Since, the line is 13 units and 8:5 is 13 parts each proportion is 1 unit.

Which means 8 parts and 5 parts are on the line.

So, 8+(-4)

= 8-4

= 4

Therefore, the location of point G on the given number line is 4.

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

Step-by-step explanation:

\(10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001\)

Answer: 0.00001

\(10^{-5}\) = \(\frac{1}{10^{-5} }\) = 1 over 100,000.

100,000 = 0.00001

Hope this helps you!

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

Step-by-step explanation:

The height of the Eiffel Tower was halved repeatedly to make a model around 30 cm. We know that 30 cm = 0.3 meters.

We can set up an equation:

324m / 2^n = 0.3m

We can solve for n by logarithm base 2:

n = log(324/0.3) / log(2)

n = log(1080) / log(2)

n ≈ 10.6

The height of the Eiffel Tower was divided by 2^10.6, which is not a whole number.

It means that the height of Eiffel Tower was divided by a number that is between 10 and 11 times by 2.

The algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

The statement is given as:

the difference of 27 and 5​

Difference means minus.

The minus sign is represented as -

This means that the statement given as: the difference of 27 and 5​

Can be represented as

27 minus 5

So, have

27 - 5

Hence, the algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

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Answer:

-18 that is the answer I don't know if it can help but that is the answer that I get is -18

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

Answer:

1 = Yes

2 = No

3 = No

4 = Yes

5 = Yes

6 = Yes

7 = No

8 = No

9 = Yes

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer: f(0)= 4

Step-by-step explanation:

First you need to plug 0 in for x

f (x)=-x+4 -> f(0)= -(0)+4

next solve:

f(0)= -(0)+4

0*-1 = 0

f(0)= 4

The correct answer is  f(0)= 4.

Hope this helps!

The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

The equation is given below.

10000 = 8000(1 + .04t)

Where 't' represents the number of years. Then solve the equation for 't', then we have

10000 = 8000(1 + 0.04t)

1.25 = 1 + 0.04t

0.04t = 0.25

t = 0.25 / 0.04

t = 6.25 years

The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.

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Answer:y - 4 = 2/5(x + 2)

Step-by-step explanation:

Mark me brainliest

Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°

We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...

9*6/2*2=54

Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...

7*5*2=70

The last part is the rectangle on the bottom with area...

9*5=45

Now we just need to add them all together...

54+70+45=124+45=169

I hope this helped you, if you have any questions about this solution just ask me in the comments :)

Answer:

223cm

Step-by-step explanation:

First you want to figure out how many faces the 3D shape has.

This has 5 faces.

Then you find the area of each face.

The front face has an area of 54cm because the length is 6cm and the width is 9cm.

Area = Length x Width

The back face will always have the same area as the front.

54cm + 54cm = 108cm (Front and Back Face)

Now the right side and left side.

The width of the side is 5cm and length is 7cm.

7cm • 5cm = 35cm

Just like the front and back, the right and left side will have the same area.

35cm + 35cm = 70cm

Now the last part.

There is no top face since this is a 3D triangle and not a square and rectangle etc.

So, you don't add it two times like the others.

The bottom's width is 5cm and the length is 9cm

5cm • 9cm = 45cm

Now you add all of it up together to find the surface area.

108cm + 70cm + 45cm = 223cm

Hope this helps dude

Answer:

4y4 the 1st one

may this help you