I need help with this problem. I started it but I got to a point where it seemed wrong so I just can't figure out what I did wrong.

Answer:

15.05

Step-by-step explanation:

8.6 is 100% of 8.6.

To increase it by 75%, you'll end up with 175% of 8.6

175% of 8.6 =

= 1.75 * 8.6

= 15.05

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

hhiuhdhdbbduwhebbdbnosjwbbsundnks

Step-by-step explanation:

Answer:x=9

Step-by-step explanation:

3x-20 is proportional to 56 by 1/8, exactly as the left side is. (I don’t remember the name of the theorem but you can look it up online.) Because of this you can determine that 3x-20 is 7, so 3x=27 and x=9.

It is possible to find the value of S20 by applying arithmetic progression. similar by applying the sum formula.

Formula is used to determine S20.

First term (a) here equals 32, and common difference (d) is equal to 2.9

Sn = n/2 × ( 2a + (n-1) × d)

S20 = 20/2 × ( 2×32 + ( 20 - 1 ) × 2.9 )

S20 = 20/2 × ( 64 + (19 × 2.9) )

S20 = 20/2 × ( 64 + 55.1 )

S20 = 20/2 × 119.1

S20 = 1191

Therefore, value of S20 is 1191

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Answer:

Step-by-step explanation:

\(s_{n}=\frac{n}{2} [2a+(n-1)d]\\s_{20}=\frac{20}{2} [2 \times 32+(20-1)\times 2.9]\\=10[64+19\times 2.9]\\=640+551\\=1191\)

Answer:

40

Step-by-step explanation:

This answer is the closest when it comes to 3,844 divided by 75.

Answer:

its 4

Step-by-step explanation:

because i did it

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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The magnitude of vector is 8.24 and angle is 75.9638.

What is vector?

A vector could be a amount that not solely describes the magnitude however additionally describes the movement of an object or the position of an object with reference to another purpose or object.

Main body:

we know that the magnitude of vector is found out by,

| u | = \(\sqrt{i^{2}+j^{2} }\)

so here , u = 2i + 8j

|u| = \(\sqrt{2^{2} +8^{2} }\)

|u| = \(\sqrt{68}\)

|u| = 8.24

now to find the direction , angle

tan∅ = j/k

tan∅ = 8/2

∅ = tan⁻¹ (4)

∅ = 75.9638°

Hence , direction angle of the following vector is ∅ = 75.9638°

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Answer:

1.35

2.54

3.32

4.64

5.121

6.70

Answer:

1: 35

2: 54

3: 32

5: 64

6: 121

7: 70

Step-by-step explanation:

1: 180-(110+35)

2: 180-(74+52)

3: 180-(58+90)

5: 180-(52+64)

6: 180-(36+23)

7: 180-(56+54)

Answer:

it is a) the magician

Step-by-step explanation:

comment if its wrong mark me brainlest if it is right

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

30.39in^2 (^2 means squared)

Step-by-step explanation:

3 x 3 = 9in^2

3.1 x 6.9 =21.39in^2

9 + 21.39 = 30.39in^2

Answer:

go on cymath it helps alot with solving slopes

Step-by-step explanation:

The value of the 3 × f( - 4 ) - 3 × g( - 2 ) is 40

Given the following expression 3 × f( - 4 ) - 3 × g( - 2 ), to find the required values, we can assume that;

f( - 4 ) = 15

g( - 2 ) = 5

Substitute the given parameters into the expression to have:

3 × f(- 4 ) - 3 × g(- 2) = 3 × 15 - 3 × 5

= 45 - 5

= 40

Hence the value of the 3 × f( - 4) - 3 × g( - 2) is 40

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Answer:​

The correct answer is No.

Choosing between the critical value method or the P-value method does not affect one's conclusion because both methods look at the probability of the test​ statistic's and its level of significance .

Given the methodology utilized by both methods, they usually arrive at the same conclusion.

Cheers!

The expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A mathematical expression shows the value of something by combining numbers, variables, and operators. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

From the information, Maria bought 5 tickets for $20 each. Each ticket had a $2 fee.

The expression that can be used to illustrate this will be:

C = (5 × $20) + ($2 × 5)

where C = Total cost

C = $100 + $10

C = $110

Therefore the expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Having solved by the Completing the Square method, c is given as:
c= ± [√229/3] + 2/3 or in decimal form:
c = 5.71091531; -4.37758198

One way for locating the roots of a quadratic equation is to complete the square method.

We must turn the provided equation into a perfect square using this approach.

The quadratic formula may also be used to get the roots of a quadratic problem.

Step 1: First re-arrange all nonzero terms to the left side of the equation:

c² - (4c/3) - 25 = 0

Step 2: Identify the Coefficients:

a = 1;

b= -4/3

c = -25

Let us move -25 to the right-hand side:

x² - 1.33x = 25

Now, take divide the coefficient of x by 2 and square it:

(-1.33/2)2 = -0.6652 = 0.44

Add this number to both sides of the equation:

x² - 1.33x + 0.44 = 25 + 0.44

Let us simplify the right-hand side:

x² - 1.33x + 0.44 = 25.44

After some slight rewriting:

x² - 2*0.665x + 0.44 = 25.44

To the left hand-side we apply the formula:

p2 - 2pq + q2=(p - q)2

with p = x and q = 0.665:

(x - 0.665)2 = 25.44

Take the square root of both sides:

x - 0.665 = ± √25.44

and so

x = 0.665 ± √25.44

which gives

x = 0.665 ±5.04

Finally, we have

c = 5.71091531; or -4.37758198

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Answer:

  3.48%

Step-by-step explanation:

Interest rate is the one variable in the amortization formula that cannot be solved for directly. An iterative or graphical approach is needed. There is no formula. Financial calculators, financial apps, and spreadsheets are all able to do this calculation.

__

In the attached, we have used a graphing calculator to find the value of interest rate (in %) that makes the loan payment be $200 for a loan of $11,000. It shows us the rate is 3.48%. (A financial calculator confirms this value.) The x-intercept in the graph is the interest rate that makes the difference between the payment and $200 be zero. In our formula for the payment, we have used t for years. 60 monthly payments is 5 years.

Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

Answer:

So essentially, you are trying to find what the overall whole is based off of a number that is the percent of the number. In order to do this, you must turn your percentage into a fraction over 100. You are going to then create the number that is a percentage of another number into a fraction over "x". Cross multiply the two fractions. Since there is an "x", count is as a zero. Now, create a fraction with the numerator as the number you just got from multiplying, and the denominator as the number you have to refer to as the percent of the whole. Since fraction is division, divide the two numbers and you get your answer. Sorry if this is so complex I tried to simplify it as best as I could

Step-by-step explanation:

Example: 8 is 80% of what number?

80% to 80/100

8 to 8/x

*cross multiply*

80x/80 = 800/80

800 divided by 80 is 10.

so, 8 is 80% percent of 10.

Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

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Answer:

180

Step-by-step explanation:

volume= (6*5)/2*12 =180 in

a) The values of c and d are 7 and 58.

b) The coordinates of the turning point of the curve y = -x² - 14x + 9 is,

⇒ (- 7, 58)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The expression is,

⇒ - x² - 14x + 9

Now, Simplify the expression to change in the form of -(x + c)² + d as;

⇒ - x² - 14x + 9

⇒ - (x² + 14x) + 9

⇒ - (x² + 14x) - 49 + 49 + 9

⇒ - (x² + 14x + 49) + 49 + 9

⇒ - (x + 7)² + 58

By comparing, we get;

The values of c and d are,

⇒ c = 7

⇒ d = 58

And. To find the coordinates of the turning point of the curve

y = -x² - 14x + 9, we can differentiate it with respect to x and equate it to zero.

⇒ y = -x² - 14x + 9

⇒ dy/dx = - 2x - 14 = 0

⇒ - 2x = 14

⇒ x = - 7

And,

⇒ y = -x² - 14x + 9

⇒ y = - (-7)² - 14×- 7 + 9

⇒ y = - 49 + 98 + 9

⇒ y = 58

Thus, The coordinates of the turning point of the curve y = -x² - 14x + 9 is,

⇒ (- 7, 58)

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Answer:

\({ \rm{5 \div \sqrt{5} }} \\ \\ { \rm{ = \frac{5}{ \sqrt{5} } }}\)

• By rationalizing:

\({ \rm{ = \frac{5 \times \sqrt{5} }{ \sqrt{5} \times \sqrt{5} } }} \\ \\ = { \rm{ \frac{5 \sqrt{5} }{5} }} \\ \\ = \sqrt{5} \)

The result of the simplification of the quotient; 5÷√5 is; √5

The given quotient is;

Hence, to simplify we can multiply both the number and denominator by; √5 so that we have;

Recall, √5 ×√5 = 5.

Hence, we have; (5√5)/5 = √5

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The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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