What’s is the answer

The x-intercept of the equation 70x - 12y = 350 is (5, 0).

The x-intercept of an equation is where a line crosses the x-axis. The x-intercept of an equation is the value of x when y equals to zero.

Therefore, let's find the x-intercept of the equation as follows:

70x - 12y = 350

Hence,

12y = 70x - 350

Let's substitute y = 0 in the equation

12(0) = 70x - 350

70x = 350

divide both sides by 70

x = 350 / 70

x = 5

Therefore, the x-intercept is (5, 0)

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No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.

While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.

Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.

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The cot's diagonal distance from corner to corner is approximately 6.95 feet. (option 1)

To find the diagonal distance, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the shorter sides) is equal to the square of the length of the hypotenuse (the longest side).

In this case, the cot forms a right triangle with sides of length 6 feet and 3.5 feet. We can find the length of the diagonal (the hypotenuse) using the formula:

d = √(6² + 3.5²)

d ≈ √(36 + 12.25)

d ≈ √48.25

d ≈ 6.95 feet (rounded to the nearest hundredth)

Therefore, the cot's diagonal distance from corner to corner is approximately 6.95 feet.

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Complete Question:

Suppose a homeless shelter provides meals and sleeping cots to those in need. A rectangular cot measures 6 feet long by 3 ½ feet wide. Find the cot's diagonal distance from corner to corner. Round your answer to the nearest hundredth foot.

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

since there is a ratio of 3:1 we add the 3 together to get 4.

then we divide the 16 by 4 which will give you the number of strawberries which is 4

then, we multiply 4 by 3 and you will get the number of blueberries which is 12

A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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That the constant of integration C cancels out when we evaluate the definite integral, so we do not need to include it in the final answer.

We can evaluate the definite integral using the power rule of integration, which states that

∫ \(x^n dx = (x^(n+1))/(n+1) + C\)

where C is the constant of integration.

So, for the given definite integral, we have:

∫ \((1/(5^(50)x^3)) dx\)

\(= (-1/2) * (1/(5^(50))) * (1/x^2) + C\)

Evaluating this from x = 1 to x = 1/5, we get:

\(= (-1/2) * (1/(5^(50))) * (1/(1/5)^2) - (-1/2) * (1/(5^(50))) * (1/1^2)\)

\(= (-1/2) * (5^2) * (5^(50)) + (1/2) * (5^(50))\)

\(= - (1/2) * (5^(52)) + (1/2) * (5^(50))\)

\(= (1/2) * (5^(50)) * (1 - 5^2)\)

\(= (1/2) * (5^(50)) * (-24)\)

\(= -12 * (5^(50))\)

So, the value of the definite integral is \(-12 * (5^(50))\). Note that the constant of integration C cancels out when we evaluate the definite integral, so we do not need to include it in the final answer.

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Answer:

Option C is the correct option.

Step-by-step explanation:

A set of equations is given below:

Equation H: y = -x + 2

Equation J: y = 3x - 4

We need to determine the step to solve the equations.

We can place value of y from Equation H into Equation J

i.e

-x+2=3x-4

So, Option C is the correct option.

Answer:

C

Step-by-step explanation:

it is a constant function

The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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Answer:

27

Step-by-step explanation:

Answer:

In Total: 27,300 Thousand's: 27,000's

Step-by-step explanation:

26000 + 1300 = 27,300

(I may be wrong)

Answer:

P=p1+p2+p3+p4

P1=4*a=4*8=24

P2=a+b+c=6+10+8=24

P3=2*a+2*b=2*10+2*20=60=P4

P=24+24+60+60=160cm

9514 1404 393

Answer:

  y = -4/5x +3/5

Step-by-step explanation:

The 2-point form of the equation for a line can be useful.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -(-1))/(-3 -2)(x -2) -1

  y = 4/(-5)(x -2) -1

  y = -4/5x +8/5 -1

  y = -4/5x +3/5

Answer:

4.5 gallons

Step-by-step explanation:

180/40=4.5

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

Katie is studying the polynomial  and determines the polynomial has three real roots. Do you agree or disagree with Katie's statement? Explain your reasoning.

the complete question is

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. Do you agree or disagree with Katies statement? Explain your reasoning.

Write properties of function:

x intercept/zero: \(x_{1}\) = 3/2 ; \(x_{2}\) = 4 ; \(x_{3}\) = -\(\sqrt{3}\) ;  \(x_{4}\) = \(\sqrt{3}\)

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

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Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

The inference that can be made from the dot plot is the range of each round is the same.

A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.

Range is the difference between the largest number and smallest number.

Range of round 1 = 8 - 5 = 3

Range of round 2 = 9 - 6 = 3

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

This is because the number of pounds can take on an infinite number of values within a range.

The following table shows a series of experiments and associated random variables:ExperimentRandom Variable (x)Values

Continuous or Discrete

a. Take a 15-question examinationNumber of questions answered correctlyDiscreteb. Observe cars arriving at a tollbooth for 1 hourNumber of cars arriving at tollboothDiscretec. Audit 50 tax returnsNumber of returns containing errorsDiscreted. Observe an employee's workNumber of nonproductive hours in a nine-hour workdayDiscretee. Weigh a shipment of goodsNumber of poundsContinuous

The random variable in experiment a is discrete. This is because the number of questions answered correctly can only take on a finite number of values.The random variable in experiment b is also discrete. This is because the number of cars arriving at the tollbooth can only take on a finite number of values.The random variable in experiment c is also discrete. This is because the number of returns containing errors can only take on a finite number of values.The random variable in experiment d is discrete. This is because the number of nonproductive hours in a nine-hour workday can only take on a finite number of values.The random variable in experiment e is continuous.

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a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

We have the following information available from the question is:

An odd integer is an integer that can be expressed as 2k+1 , where k is an integer.

An even integer is an integer that can be expressed as 2k , where k is an integer.

Now, According to the question:

To prove the each statement:

a. The sum of an odd and an even integer is odd:

Let the odd integer = 3

Let the even integer = 2

Adding the both odd and even integers.

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

Let the first odd integer = 3

Let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

Let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

Let the first odd integer = 3

Let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

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The given question is incomplete, complete question is:

About Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1 , where k is an integer. An even integer is an integer that can be expressed as 2k , where k is an integer. Prove each of the following statements using a direct proof.

a. The sum of an odd and an even integer is odd.

b. The sum of two odd integers is an even integer.

c. The square of an odd integer is an odd integer.

d. The product of two odd integers is an odd integer.

To calculate the energy change associated with an electron transitioning from the n = 4 energy level to the n = 2 energy level, we can use the equation for the energy of an electron in an atom, which is given by:

Where E_n is the energy of the electron in the nth energy level, and eV is the unit of energy called the electronvolt.

Substituting the values of n = 4 and n = 2 into this equation gives us:

The energy change associated with the transition from n = 4 to n = 2 is given by

To convert this energy change from electronvolts to joules, we can use the fact that 1 eV is equal to 1.602176634 x 10^-19 joules.

Multiplying -2.55 eV by this conversion factor gives us an energy change of -2.55 eV * 1.602176634 x 10^-19 joules/eV = -4.13 x 10^-18 joules.

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Answer:

55 cm

Step-by-step explanation:

height = 4895/89 = 55 cm

Answer:

c:10

Step-by-step explanation:

7^2+ \(\sqrt{74} ^{2}\) = \(x^{2}\)

\(x^{2}\) = 25

x =5 (but that is only 1/2 of the length you are looking for

5*2 = 10

In a sample of 8 years, the mean number of years that the mango tree does not give fruit is 4.96, the variance is 1.87, and the standard deviation is 1.37.

The mean, variance, and standard deviation for the number of years that a mango tree does not bear fruit in a sample of 8 different years, given a 38% chance of bearing fruit in a given year, can be calculated using probability theory and statistical formulas.

To begin, we can find the probability of the mango tree not bearing fruit in a given year, which is 1 - 0.38 = 0.62. Using this probability, we can construct a binomial distribution with n = 8 trials and p = 0.62 probability of success (not bearing fruit). The mean (expected value) of the distribution is given by μ = np = 8 x 0.62 = 4.96.

The variance of the distribution is given by the formula σ^2 = np(1-p), which in this case equals 8 x 0.62 x 0.38 = 1.87. Finally, the standard deviation of the distribution is the square root of the variance, which equals sqrt(1.87) = 1.37.

Therefore, the mean number of years that the mango tree does not bear fruit in a sample of 8 years is 4.96, the variance is 1.87, and the standard deviation is 1.37. This means that we can expect the mango tree to bear fruit approximately 3 times in the sample of 8 years.

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Answer:

A

Step-by-step explanation:

divide 1125 by 30

hope this helps

Answer:

A 37.5

Step-by-step explanation:

Divide 1125yards by 30minutes

The triangles ∆ABC and ∆ADC are similar triangles, and:

m∠BAC = m∠DAC = 70°

m∠ACB = 20°

CB = CD = 12

AB = DA = 7

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

Considering the angles of the right triangle ACD;

m∠DAC = 180° - (90 + 20)°

m∠DAC = 70°

The angle m∠BAC corresponds to m∠DAC so;

m∠BAC = m∠DAC = 70°

The angle m∠ACB corresponds to m∠ACD so;

m∠ACB = m∠ACD = 20°

The side AB corresponds to side DA hence;

5x - 3 = 3x + 1

5x - 3x = 1 + 3 {collect like terms}

2x = 4

x = 4/2

x = 2

AB = 5(2) - 3 = 7

AB = DA = 7

In conclusion, since the triangles ∆ABC and ∆ADC are similar triangles, then:

m∠BAC = m∠DAC = 70°

m∠ACB = 20°

CB = CD = 12

AB = DA = 7

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Answer:

300mL of water 900mL of acid

The length of the hypotenuse in this right-angled triangle is 26mm.

To find the length of the hypotenuse in a right-angled triangle with two given lengths of 10mm and 24mm, you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Hence,

1: Label the given sides. Let a = 10mm and b = 24mm. Let c be the length of the hypotenuse.

2: Apply the Pythagorean theorem, which is a^2 + b^2 = c^2.

3: Substitute the given values:

(10mm)^2 + (24mm)^2 = c^2.

4: Calculate the squares:

100 + 576 = c^2.

5: Add the values:

676 = c^2.

6: Find the square root of 676 to get the value of c:

c = √676 = 26mm.

So, the length of the hypotenuse is 26mm.

Note: The question is incomplete. The complete question probably is: In a right-angled triangle, the two lengths are given as 10mm and 24mm. What is the length of hypotenuse.

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Michael is 33 years old and Brandon is 21 years old.

To find the current age of Michael and Brandon, we can use the information given in the problem to set up and solve a system of equations.

Let x be Brandon's current age, and y be Michael's current age.

From the problem, we know the following:

Michael is 12 years older than Brandon: y = x + 12

Seventeen years ago, Michael was 4 times as old as Brandon: y - 17 = 4(x - 17)

We can substitute the first equation into the second equation to eliminate y:

y - 17 = 4(x - 17)

x + 12 - 17 = 4(x - 17)

x - 5 = 4x - 68

3x = 63

x = 21

So, Brandon's current age is 21 years old.

We can use this information to find Michael's current age:

y = x + 12

y = 21 + 12

y = 33

So, Michael's current age is 33 years old.

Simultaneous equations are a set of two or more equations that contain the same variables. These equations must be solved together, or "simultaneously," in order to find the values of the variables. Solving simultaneous equations involves finding values for the variables that will make all the equations true at the same time.

The goal of solving a system of simultaneous equations is to find the values of the variables that satisfy all the equations in the system. The solution of the system of equations is the set of values that satisfy all the equations in the system.

In short, simultaneous equations are a set of two or more equations that contain the same variables. Solving simultaneous equations is to find the values of the variables that satisfy all the equations in the system. There are different methods to solve simultaneous equations such as substitution, elimination, and graphing.

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