PLEASE HELP QUICK What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 + x - 72?

Answer:

72 \(ft^{2}\)

Step-by-step explanation: to find the area is length multiplied by width. plug 5 into the equations and you get (9)(8)=72. the unit is feet squared, so your answer is 72\(ft^{2}\)

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

\(\angle ATR\cong \angle ITB\)              [Common angles]

\(\angle ART\cong \angle IBT\)              [Corresponding angle]

\(\triangle ATR\sim \triangle ITB\)              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

\(\dfrac{AT}{IT}=\dfrac{AR}{IB}\)

\(\dfrac{x}{x+8}=\dfrac{12}{18}\)

\(\dfrac{x}{x+8}=\dfrac{2}{3}\)

On cross multiplication, we get

\(3(x)=2(x+8)\)

\(3x=2x+16\)

\(3x-2x=16\)

\(x=16\)

Therefore, the correct option is C.

For each given system, the frequency response, filter type, cutoff frequency, bandwidth (if applicable), and the output response to a specific input signal are analyzed.

1) The first system is a second-order system with a frequency response given by H(ω) = 2/(ω^2 - 6ω + 8), where ω represents the angular frequency. The system is a low-pass filter since it attenuates high-frequency components and passes low-frequency components. The cutoff frequency, at which the output is attenuated by 3 dB (half of its maximum value), can be found by solving ω^2 - 6ω + 8 = 1, which gives ω = 3 ± √7. Therefore, the cutoff frequency is approximately 3 + √7.

2) The second system has a similar frequency response as the first one, H(ω) = 2/(ω^2 - 6ω + 4), but without the constant input term. It is still a low-pass filter with the same cutoff frequency as the first system.

3) The third system is a second-order system with a frequency response given by H(ω) = 1/(ω^2 - 3ω + 6). This system is not explicitly classified as a low-pass or high-pass filter since its behavior depends on the input signal. The cutoff frequency can be found by solving ω^2 - 3ω + 6 = 1, which gives ω = 3 ± √2. Therefore, the cutoff frequency is approximately 3 + √2.

4) Since the given systems do not exhibit band-pass or stop-pass characteristics, the bandwidth is not applicable in this case.

5) To determine the output response to the given input signal ä(t) = 2 cos(2t+π) – sin(4t +5), the signal is multiplied by the frequency response of the respective system. The resulting output signal will be a new signal with the same frequency components as the input, but modified according to the frequency response of the system.

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Answer:

1111¹5&-78+&%%567;!9098888

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

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Answer:

6

Step-by-step explanation:

1)

-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]

2)

NOW, Simple simplify....

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer: 57920 per month

Step-by-step explanation: 905 x 64 = 57920

Answer:

B.3^9

Step-by-step explanation:

3^5•3^4=3^5+4=3^9

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

Step-by-step explanation:

Below are the steps to follow to find the slope of any line.

First you need to pick two points. I chose (2,24) and (4,48). (It does not mater what points you chose.)

Now follow the equation

Slope (m) = ΔY/ΔX

ΔY = 48 – 24 = 24

ΔX = 4 – 2 = 2

24/2 = 12

Then no mater what points you chose, 12 should be your final answer

The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

\(P(-2.17 < Z < 2.17)=0.97\)

Therefore the obtained probability for the z-score of 2.17 is 0.97.

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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The probability that at most 13 of the residers in the sample entered a jury process in the once 12 months is 0.000158.

A normal distribution, also known as a Gaussian distribution or bell wind, is a probability distribution that's symmetric and bell- shaped. It's characterized by its mean( μ) and standard divagation( σ).

Given

Sample size( n) = 500

Probability of an individual entering a jury process( p) = 15 = 0.15

We want to calculate the probability that at most 13 of the residers in the sample entered a jury process.

Let X be the arbitrary variable representing the number of residers who entered a jury process in the sample.

Using the binomial accretive distribution function( CDF), we can calculate the probability as follows

P( X ≤ 13 of n) = Σ( k = 0 to k = 0.13 n)( n C k)

Here, n = 500

p = 0.15

k = int(0.13 n)

So, binom.cdf( int(0.13 500), 500,0.15) ≈0.000158

Thus, The likelihood that 13% of the sample's residents received a jury summons in the previous year is 0.000158.

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The question attached here is seems to be incomplete, the complete question is

What proportion of US Residents receive a jury summons each year? A polling organization plans to survey a random sample of 500 US Residents to find out. Let be the proportion of residents in the sample who received a jury summons in the previous 12 months. According to the National Center for State Courts, 15 \% of US residents receive a jury summons each year. Suppose that this claim is true.

5. Calculate the probability that at most 13% of the residents in the sample received a jury summons in the past 12 months.

Answer:

B

Step-by-step explanation:

1. Notice all the LHS answers are (0,-6) so that's definitely an answer

2. Substitute out the y so 2nd equation becomes x-6=x^2-6; so x^2-x=0; therefore x=0 or x=1

3. x=1 so y=-5 and that's the second answer hence B

Answer:

The answer is B.

Step-by-step explanation:

hope this helps

The winner received 53 of the 75 votes in the student gov. election according to provided ratio.

What is ratio?

In arithmetic, a magnitude relation shows range times one number contains another.

Main body:

Because the ratio of students who voted for the winner compared to all students who voted is 0.70

we can rewrite this as:

0.70 = 70/100

And, because we know the total number of students who voted is 75 and if we call the number of students who voted for the winner s , we can then write this relationship and solve for s :

\(\frac{70}{100} = \frac{s}{75}\)

Multiplying both sides by 75.

75*\(\frac{70}{100} = \frac{s}{75}\)*75

s= 75*70/100

s = 5250/100

s = 52.5

s ≈ 53.

Hence ,The winner received 53 of the 75 votes.

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Answer:

Un modelo matemático es una representación simplificada, a través de ecuaciones, funciones o fórmulas matemáticas

Step-by-step explanation:

Answer:

1/10, 1/20, 12%, 0.15

Step-by-step explanation:

1/20=1÷20=0.05

12%= 12÷100=0.12

1/10= 1÷10= 0.01

Two uses of x0 to demonstrate its usefulness are Function return value and Zero-extension.

x0 (also known as xzero) is a special-purpose register in the RISC-V architecture that always stores the value 0. Despite its seemingly limited use, x0 plays an important role in the RISC-V instruction set architecture. Here are two uses of x0:

Function return value: In RISC-V, the return value of a function is typically stored in the register x0. By convention, a function returns 0 if it executes successfully, and a non-zero value if it encounters an error. By using x0 to store the return value, the CPU can quickly determine the status of the function without having to access memory.

Zero-extension: When performing arithmetic operations, it is often necessary to extend the width of a register from a smaller size to a larger size. For example, when adding two 32-bit values, the result may require more than 32 bits to store. The RISC-V instruction set includes a zero-extension instruction that allows the contents of a register to be extended to a larger size, with the high-order bits being set to 0. x0 can be used as the destination register for this instruction, allowing the contents of another register to be extended to a larger size and stored in x0.

By serving as a quick reference to 0, x0 can help reduce the number of instructions needed to execute a program and improve performance.

Therefore, Two uses of x0 to demonstrate its usefulness are Function return value and Zero-extension.

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Answer:

Below.

Step-by-step explanation:

The distributive property:

3(x + 4)

= 3*x + 3*4

= 3x + 12.

You are ' distributing 3 over the parentheses'

Answer: 6

Step-by-step explanation:

Just some simple ratios

P = Pizza People = Pl

P: Pl

2 : 9

x: 27

We want to find x.

Since 27/9 is equal to 3, we multiply 2 by 3 as well!

2x3=6, our desired amount.

Answer:

I think the answer is -4

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\((4-2)^{3} -3\times 4\)

First we subtract 2 from 4 to get 2.

\(2^{3} -3\times 4\)

Next we calculate 2 to the power of 3 and get 8.

\(8-3\times 4\)

Then we multiply 3 and 4 to get 12.

\(8-12\)

Lastly we Subtract 12 from 8 to get −4.

Answer:

$21.78

Step-by-step explanation:

We know that each pack of milk costs $3.96, so if we buy 5.5 of these, we will have to pay $3.96 5.5 times. In other words, we must multiply 3.96 by 5.5:

3.96 * 5.5 = 21.78

Thus, Mandy spends $21.78 in all.

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

The expression 5m + 5c represents the total amount earned by Bryan, where "m" is the number of lawns mowed and "c" is the number of cars washed.

To calculate the total amount earned by Bryan, we need to consider the earnings from both mowing lawns and washing cars.

The expression that represents the total earned by Bryan is given by:

E = (earnings from mowing lawns) + (earnings from washing cars)

Since Bryan earns $5.00 per lawn mowed and $5.00 per car wash, the expression can be written as:

E = 5m + 5c

Here, "m" represents the number of lawns mowed and "c" represents the number of cars washed.

To find the total earned, simply substitute the values of "m" and "c" into the expression and calculate the result. For example, if Bryan mows 3 lawns and washes 2 cars, the total earned would be:

E = 5(3) + 5(2)

= 15 + 10

= $25.00

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Answer:

Step-by-step explanation:

y=2/3x+4

Due to the constant value of 0 as well as the leading term 1, the provided polynomial function is a rational function.

An equation's function that only uses ou pas integer exponents or only nonzero multipliers of a variable, as in an equation, quadratic equation, etc., is said to have a polynomial function. A good example is the exponent of the polynomial 2x+5.

Here,

Exponents for the provided polynomial function are positive integers.

The exponent of the positive number 2x is 1.and is a real number with the exponent 5, respectively.

One of the parameters in the function is a real integer like 5, while another is 1.

As a result, the function is described by a polynomial.

It is polynomial because it has a degree of 5.

A polynomial is expressed in standard form by writing the terms in increasing order of words with lower exponents, starting with the term the with highest exponent.

The polynomial has the standard form f(x)=2x+ 1.

consisting of the leading phrase 1 and the constant 0.

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Answer:

A, 12c + 7b + 24

B, $69

Step-by-step explanation:

Please, read my picture Thanks! Also tell me if its right in the comment

4 * 12 + 3 * 7 + 24 = m

m represents how much money Marta spent

48 + 21 + 24 = m

69 + 24 = m

$93 = m

To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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