Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

By following these steps, you can set up a linear program that will determine a feasible solution to a given system of equations and inequalities.

To set up a linear program to determine a feasible solution to a system of equations and inequalities, you need to follow these steps:
1. Define your variables: Start by identifying the variables in the system of equations and inequalities. Assign them letters, such as x, y, and z, to represent unknown values.
2. Write the objective function: Determine what you want to optimize or minimize in the system. This could be maximizing profit, minimizing costs, or achieving a certain goal. Translate this objective into an equation using the variables defined in step 1.
3. Formulate the constraints: Convert each equation and inequality in the system into linear constraints. Constraints restrict the feasible region where the variables can take values. For example, if you have an equation like 2x + 3y = 10, you can rewrite it as 2x + 3y ≤ 10 and 2x + 3y ≥ 10.
4. Specify the domain: Define the feasible domain for each variable. This could be based on physical constraints or limitations. For example, if x represents the number of units produced, it cannot be negative, so x ≥ 0.
5. Write the linear program: Combine the objective function and constraints to form the linear program. It should have the following general structure:
  - Maximize or minimize: [Objective Function]
  - Subject to: [Constraints]
  - Domain: [Variable Domains]
Remember, we are not solving the linear program at this point; we are only setting it up. This means we do not need to find numerical values for the variables or determine if a feasible solution exists.

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Answer:

7s

Step-by-step explanation:

17s-10=3(2s+1)

17s-10 = 7s

2s+1=3s

7s+3s=10

10-3=7s

Answer: B

Step-by-step explanation:

Since it's a rug, it's a covering so they want area of the circle

A=\(\pi r^{2}\)        

since the length of the of the room is 6.2. that is also the diameter of the circle.

The radius for the formula is half of the diameter.

r=3.1

A=\(\pi r^{2}\) = 3.14(3.1)²

=30.2

B

Answer: $3.60

Step-by-step explanation:

If you need 4.8 kilograms of potatoes and each kilograms costs $0.75, then we should multiply 0.75 by 4.8 to find the cost of 4.8 kilograms of potatoes.

4.8 x 0.75 = 3.6.

Therefore, the cost of 4.8 kilograms is $3.60 dollars. I hope this helps, and good luck!

Step-by-step explanation:

7a - 4b = 2b - 5a

7a + 5a = 2b + 4b

12a = 6b

a = 6b/12

a = b/2

a. The statement that the dot product is the only possible inner product in Rn is false. While the dot product is one example of an inner product, there are other inner products that can be defined in Rn. b. True. The projection is zero. c. The statement that it is possible to construct an inner product in the continuous function space using a definite integral is true

a. False. The dot product is a common inner product in Rn, but there are other inner products that can be defined. Also, the vectors (1,2,1) and (1,-1,1) are not orthonormal because their dot product is not zero and their magnitudes are not equal to 1.

b. True. The projection of a vector onto another vector is zero if they are orthogonal. Mathematically, proj_v1(v2) = 0 if (v1, v2) = 0, where (v1, v2) represents the inner product of vectors v1 and v2.

c. True. It is possible to construct an inner product in the continuous function space using a definite integral. One such inner product is defined as (f, g) = ∫_a^b f(x)g(x) dx, where f and g are continuous functions on the interval [a, b], and a and b are real numbers.

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Answer:

360 approx

Step-by-step explanation:

Given data

We want to find the total number of customers that bought gas

Let the total number of customers be x

So

72% of x = 259

let us solve for x

72/100*x= 259

0.72*x=259

x= 259/0.72

x= 359.72

Hence the actual number of customers is 360 approx

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) \(0.288 kg/liter\)

(b) \(0.061408 kg/liter\)

The mass of salt entering the tank per minute:

\(X= (0.2)( 5) = 1 kg/minute\)

The mass of salt exiting the tank per minute:

 \(\frac{5 * (5 + x)}{500}\)

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

\(\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}\)

The increase, in mass, Δ, after an increase in time, dt, is therefore;

\(\Delta = (x - 5 * (5 + x)/500)dt\)

Integrating with a graphing calculator, with limits 0 at 10, gives;  

\(\Delta = (99X - 5)/10\)

Substituting x = 1 gives:

\((99)( 1 - 5)/10 = 9.4 kg\)

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

\((5 + 9.4)/500 = (14.4)/500 = 0.288\)

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

\(\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt\)

Integrating with a graphing calculator, with limits 0 at 20, gives;

\(\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}\)

Where x = 1:

\(\Delta = 19.76(1) -3.456 = 16.304\)

The increase in mass after an increase in = 16.304 kg. The total mass:

\(16.304 + 14.4 = 30.704 kg\)

The concentration of the salt in the tank then becomes;

\(30.704/500 = 0.061408 kg/liter\)

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The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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Answer:

The answer is A pls mark me brainly

27.2 in.

Step-by-step explanation:

Using 2 pi r theta over 360°

Arc length =2/3 x pi x 13 in.

=27.227136 in.

The number of ways to select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents is: 277,200.

This can be calculated using the formula for combinations, which states that the number of ways to choose k objects from a set of n distinct objects is given by

nCk = n! / (k! * (n-k)!),

where ! denotes the factorial function.

In this case, we use this formula to calculate the number of ways to choose four Republicans from a group of 10, three Democrats from a group of 12, and two Independents from a group of 4.

We then multiply these values together to get the total number of possible committees:

(10C4) x (12C3) x (4C2) = 210 x 220 x 6 = 277,200

The final answer is 277,200.

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Answer:

show us a photo

Step-by-step explanation:

According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.

To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.

The general formula for exponential decay is given by:

A(t) = A₀ * e^(-rt),

where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.

In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).

We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:

0 = 300 * e^(-0.01481t).

To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:

ln(0) = ln(e^(-0.01481t)),

0 = -0.01481t.

To isolate t, we divide both sides by -0.01481:

0 / -0.01481 = t,

t = 0.

Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

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\(x-4~\geqslant~-1\implies x~\geqslant~-1+4\implies \boxed{x~\geqslant~3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{multiplying both sides by -5}}{-5(x)\underset{\stackrel{\uparrow }{notice}}{~\leqslant~}-5(3)}\implies -5x~\leqslant~-15\implies -5x= \begin{cases} -15 ~~ \textit{greatest value}\\ -16,-17,-18...-\infty \end{cases}\)

let's recall that for inequalities whenever we divide or multiply or exponentialize by a negative value, we must flip the inequality sign, notice, multiplying by -5, flipped it sideways.

Also let's recall that on the negative side of the number line, the closer to 0, the greater, thus -1 is much much greater than -1,000,000.

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

2 bottles

5 bottles

20 bottles

25 bottle

the is c 20 bottles          

Answer:

Step-by-step explanation:

a

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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If the number of children is reduced by 6 each will get 5 sweets

The calculation can be done simply by division

if each child receives 4 sweets then the number of sweet is

= 4 * 20

= 80 sweets

when the number of children is reduced by 6

= 20 - 6

= 14

the number of sweet after reduction

= 80/14

= 5 10/14

Hence each child will get 5 sweets and a remainder of 10 sweet

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The male literacy rate in chile is 97%.

The proportion of adults aged 15 and older with literacy, expressed as a percentage of the corresponding population generally or for a particular sex, in a given nation, territory, or geographic area at a specific time, usually in the middle of the year.

Reading and writing help develop abilities and support "lifelong learning."

A foundational requirement for a larger education is literacy and numeracy. Children who have trouble reading are more likely to leave school before finishing their basic education (sometimes as a result of linguistic challenges in the classroom).

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The male literacy rate in chile is 97%.

The definition of literacy rate

The proportion of adults aged 15 and older with literacy, expressed as a percentage of the corresponding population generally or for a particular sex, in a given nation, territory, or geographic area at a specific time, usually in the middle of the year.

What makes literacy crucial?

Reading and writing help develop abilities and support "lifelong learning."

A foundational requirement for a larger education is literacy and numeracy. Children who have trouble reading are more likely to leave school before finishing their basic education (sometimes as a result of linguistic challenges in the classroom).

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What is the male literacy rate in chile?

A. 85% B. 92% C. 97% D. 100%

Finding simple interest rate:

I = PRT    

I= interest

P= principal amount

R= rate

T= time

Equation:

I = PRT

I = (500)(0.06)(18)

I= 540

yes

Final Statements:

Therefore the interest rate is $540 after 18 months (answer is yes)

Reasoning: In this question it asked to determine whether the answer our friend provided was wrong or right using the information presented. In order to prove that they were correct I took the equation and checked it again myself and also looked for any errors that might of been there. Everything checked out including the rate which is where things are usually messed up considering it's a percentage.

Answer:

Step-by-step explanation:

Remark

I'm going to assume that the edges of the cubes are 1/2 inch on each side.

V = 1/2 * 1/2 * 1/2 = 1/8 cubic inches.

Volume of the box

V = L * w * h

Givens

L = 2 inches

w = 3.5 inches

h = 5.5 inches

Solution

V = L * w * h

V = 2 * 3.5 * 5.5

V = 38.5

1/8 has the decimal equivalent value of 0.125

Number of cubes needed = Volume of the box / volume of the cube

Number of cubes needed = 38.5 / 0.125

Number of cubes needed = 308