Can you guys help me please

Answer:

y=-5/2x+(Any number)

Step-by-step explanation:

First, find the slope of that line

3+2=5

-5+7=2

5/2 is the slope

Perpendicular lines have the slope that is opposite and a fliped sign

This means that the slope should be -2/5

The equation of the line would be y=-5/2x+(Any number)

Answer:

three plus x?

Step-by-step explanation:

Answer:

three plus ex

Answer:

The solutions to the equation \(\( \frac{2x}{x+5} = \frac{3}{2x-3} \)\) are:

1. \(\( x = \frac{9}{8} - \frac{\sqrt{321}}{8} \)\)

2. \(\( x = \frac{9}{8} + \frac{\sqrt{321}}{8} \)\)

Step-by-step explanation:

1. Cross-multiply: Cross-multiplication is a method used to eliminate the fraction from an equation. It involves multiplying both sides of the equation by the denominators of the fractions. In this case, we multiply both sides by \(\((x+5)\) and \((2x-3)\)\) to get rid of the fractions.

  So, we get: \(\(2x * (2x - 3) = 3 * (x + 5)\)\)

2. Expand: Next, we expand both sides of the equation:

\(\(4x^2 - 6x = 3x + 15\)\)

3. Rearrange: We then rearrange the equation to bring all terms to one side, which gives us a quadratic equation:

\(\(4x^2 - 6x - 3x - 15 = 0\)\)

  Simplifying, we get:

\(\(4x^2 - 9x - 15 = 0\)\)

4. Solve the quadratic equation: We can solve this quadratic equation using the quadratic formula \(\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)\), where \(\(a = 4\), \(b = -9\)\), and \(\(c = -15\)\).

  Substituting these values into the formula, we get:

 \(\(x = \frac{9 \pm \sqrt{(-9)^2 - 4*4*(-15)}}{2*4}\)\)

  Simplifying further, we get:

\(\(x = \frac{9 \pm \sqrt{321}}{8}\)\)

So, the solutions to the equation are \(\(x = \frac{9}{8} - \frac{\sqrt{321}}{8}\)\) and \(\(x = \frac{9}{8} + \frac{\sqrt{321}}{8}\)\).

Remember, these solutions are valid as long as \(\(x \neq -5\)\) and \(\(x \neq \frac{3}{2}\)\) to avoid division by zero in the original equation.

The mean number of miles the hiker walked for the 6 days was 6.5 miles.

To calculate the mean or average of a set of numbers, we add up all the numbers and then divide the sum by the number of items in the set. In this case, we have the number of miles the hiker walked on each of the six days. To find the total number of miles the hiker walked, we simply add up all the numbers

8 + 5 + 7 + 2 + 9 + 8 = 39

Next, we divide the total number of miles by the number of days (which is 6) to get the average or mean number of miles the hiker walked per day:

Mean number of miles = Total number of miles / Number of days

= 39 / 6

= 6.5

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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The volume of the remaining oil after evaporation will be 5×10³ cm³. It can be calculated from drops per cubic meter, volume fraction and number of drops used.

The volume of oil that is remaining after evaporation can be calculated using the equation,

V = Xv × N/Nv

Xv is the volume fraction

N is the number of drops used

Nv is the drops per cubic centimeter.

V = 0.05 × 10/100 = 5× 10³

So the volume after evaporation will be 5×10³ cm³.

Oleic acid is used instead of water because, oleic acid will have a density similar to oil used. So calibrating using oleic acid will give accurate results compared to water. Thickness of the oil can be calculated by dividing the surface area from the volume.

So the volume of remaining oil will be 5×10³ cm³.

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Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

Even integers are multiple of 2 and differ by 2.

Thus,

as quadrilaterals have 4 sides

let the length of those sides be

2x , 2x + 2 , 2x+4, 2x+6

given that their sum is 36 inches

thus

lets take sum of assumed sides

2x + 2x + 2 + 2x+4 +  2x+6 = 36

=> 8x + 12 = 36

=> 8x = 36 - 12 = 24

=> x = 24/8 = 3

Thus,

sides are

2x = 2*3 = 6

2x + 2 = 6 +2 = 8

2x + 4 = 6 + 4 = 10

2x + 6 = 6 + 6 = 12

Thus,

length of longest side is 12 inches.

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

your answer would be 121

Step-by-step explanation:

put the equation as 100(1+10/100)^2

100(11/10)^2

100(121/100)

cancel 100 on both sides

and your final answer would be 121 :)

Answer:

Step-by-step explanation:

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by.  In this problem, a = 12000 and b=2, since it doubles each time.

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Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

The length and width of the rectangle with area of 960 cm² are 47.3 cm and 20.3 cm respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and parallel to each other.

The area of the rectangle is 960 square centimetres. The ratio of the length to the width is 7:3. Therefore, the length and the width of the rectangle can be found as follows:

Therefore,

area of a rectangle = lw

where

Hence,

960 = lw

Let 3x be the width; then length must be 7x. Area = the product 21x² = 960 cm².

Therefore,

21x² = 960

x² = 960 / 21

x² = 45.7

x = √45.7

x = 6.76

Therefore,

length = 7(6.76) = 47.3 cm

width = 3(6.76) = 20.28 cm

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Answer:

1) 24:32

2) 12:16

3) 6:8

4) 3:4

*Explanation:*

1) Just what the text said

2) 24 and 32 get divided by 2

3) 24 and 32 get divided by 4

4) 24 and 32 get divided by 8

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:-3.5

Step-by-step explanation:

zeros of  y = 2x^2 - x - 21 means in there y=0,

so, and one of them (for example x1=3)

\(2x^{2} -x-21=0\\\)

with Vieta theorem,

x1+x2=-p=x/2

x1*x2=q=-21/2

3*x2=-21/2

x2=-7/2

x2=-3.5

Answer: The value of the other zero for the eq y=2x²-x-21 is -5/2.

Step-by-step explanation:

For a quadratic equation, we can find the sum of the zeros by dividing the coefficient of the linear term by the coefficient of the quadratic term (with the opposite sign).

In the given equation,

coefficient of the quadratic term = 2

coefficient of linear term = -1

∴ Sum of zeros= (-(-1))/2 = 1/2

Since one of the zeros is 3

∴ THE OTHER ZERO = Sum of zeros - Known zero = 1/2 - 3 = -5/2

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Given the simple interest rate, the amount deposited in the savings account, and the interest earned, the true statements are:

The total savings from simple interest that a person gets from an investment can be calculated by the formula:
Savings = P ( 1 + rt)

Where:

P = Initial payment

r = simple interest rate

t = time in years

The initial payment (P) is given as $100 because the initial payment is the same as the first amount deposited.

The simple interest rate (r ) is 3.2%, and the time in years (t) is 4 years.

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The pole is 34.93 feet tall. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is the branch of mathematics that focuses on the study of the sides, angles, and connections of the right-angle triangle.

We are given that Leon is standing 67 feet from a telephone pole. Leon's angle of sight up to the bird is 24° and his eyes are 5.1 feet above the ground.

From this, a figure is obtained which is attached below.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan θ = x/67

Here, θ = 24°

So,

⇒tan 24° = x/67

⇒x = 67 tan 24°

⇒x = 67 * 0.4452

⇒x ≈ 29.83

The height of the pole = 29.83 + 5.1 = 34.93 feet

Hence, the pole is 34.93 feet tall.

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The series converges for all x, the radius of convergence is infinite, and the interval of convergence is (-∞, +∞).

To find the radius of convergence and interval of convergence of the series Σ \((-1)^(^n^+^1^) * (2n-1)^2 * (x-1)^n\), we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1.

Let's apply the ratio test to our series:

lim┬(n→∞)⁡〖|(a_(n+1))/(a_n)|= lim┬(n→∞)⁡[|\((2(n+1)-1)^2 * (x-1)^(^n^+^1^)|/|((2n-1)^2 * (x-1)^n)\)|] 〗

Simplifying the expression:

lim┬(n→∞)⁡[|\((2n+1)^2 * (x-1)/(2n-1)^2\)|]

Taking the absolute value and simplifying further:

lim┬(n→∞)⁡[|\((2n+1)^2/(2n-1)^2\)| * |x-1|]

The limit of the ratio depends on the value of x. We can observe that as n approaches infinity, the absolute value of the ratio of consecutive terms approaches 1, regardless of the value of x. Therefore, the series converges for all values of x.

Since the series converges for all x, the radius of convergence is infinite, and the interval of convergence is (-∞, +∞).

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Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

Answer:

I won't tell you the answer but if you read the solution, you would understand it.

Step-by-step explanation:

81^3/4 is basically 3 times the fourth root of 81. What number multiplies 4 times to make 81? Then multiply that by 3.

Now we have the cube root of 27. If you have a fractional exponent with no numerator, that just means square root, cube root, fourth root.

Eg. the exponent 1/4 would just mean fourth root

Eg. The exponent 1/2 would just mean square root

The cube root of 27 is 3.

The denominator is 3 times 2 to the third power.

PEMDAS

Order of Operations tells us we do exponents first so 2 to the third power is 8 and multiply by that 3.

You have all the information you need. Now just use your arithmetic skills! Let me know if you need more help.

Considering the given data, 10 of the next 20 shirts sold would be expected to be green.

Based on the information provided, the proportion of green shirts among the 12 shirts sold is 6/12 = 0.5, or 50%. This means that half of the shirts sold were green in color. If this proportion holds true for the next 20 shirts sold, it is expected that half of the shirts to be green. That is,

( 20*0.5 = 10 shirts )

Therefore based on this data, it is supposed that 10 of the next 20 shirts sold would be green.

"

Correct question:

A T-shirt was on the boardwalk recently sold 6 green shirts and 6 shirts in another color. Considering this data, how many of the next 20 shirts old would you expect to be green?

"

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An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

C.KM = 15

D.KL = 17

F.Perimeter or triangle JKL = 50

Step-by-step explanation:

just finished the test

Answer:

D, 9^4 * 8^4

Step-by-step explanation:

The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.

I confirmed D is right on a calculator also.

Answer:

D

Step-by-step explanation: