Write the equation of the line that
passes through (0,5) and is parallel
to y = 3x - 7. Final equation should
be in slope intercept form.

Answer:

200

Step-by-step explanation:

192.84 to the nearest 100 is 200.

100, 150,192.84, 200, 250, 300

192.84 is closer to 200

Hope this helps!

The net change in velocity is -0.665s.

We have,

Initial time = 0.75 seconds.

Final time = 2.25 seconds.

Accelerations, A(t) = sin (t²/3)

Now, acceleration is the rate of change of velocity then

V(t) = d/dt a(t)

V(t) = d/dt (sin (t²/3))

V(t) = 2t/3 cos (t²/3)

Now, Substituting the time interval

V(t) = 2 x 2.25/ 3 sin (5.0625)/3 - 2 x 0.75/3 sin (0.5625/3)

V(t) = -0.665

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Answer:

i do not now the answer for 1 question but the answer for 2 question is

1.24/3 =.41      and       13.75/15=.91    interest the first month.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Given

Solving

Answer:

\(\dfrac{1}{12}\)

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

\(\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}\)

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.

Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.

From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;

c² = a²+b²

100²  = 96² +b²

b²  = 100²  - 96²

b²  = 10,000 - 9216

b²  = 784

b = √784

b = 28

Hence, the unknown length is 28.

To get tanB, we will use the SOH, CAH, TOA trigonometry identity

According to TOA, tan B = opposite/adjacent

tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)

Given b = 28 and a = 96

tan B = 28/96

tan B = 4*7/4*24

tan B = 7/24

Answer: 27

Step-by-step explanation:

The percentage of students at the school who describe their parents or guardians as "strict" is the key statistic. 2. A sample survey is the ideal research design for this project.

Since it would be impractical to poll all 1000 kids at the school, the students intend to collect data from a sample of students in order to concentrate on the strict guardians, which is a population parameter.

The sample proportion could be used by the students as a statistic to determine this population proportion. They can ask a sample of pupils drawn at random from the school whether they think their parents or guardians are "strict". The percentage of sample kids who respond "yes" can be used to approximate the percentage of school-wide students who view their parents or guardians as "strict". A statistic that offers an estimate of the population parameter of interest is the sample proportion.

Random sampling would be a suitable technique for generating a sample of 100 pupils. Each kid in the school might be given a number, and the pupils could then use a random number generator to choose 100 numbers from the list. The chosen students might then be contacted and asked to take part in the study. This technique lessens the possibility of bias in the sample selection process and aids in ensuring that the sample is representative of the population.

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T is a point in the line segment SU

SU = ST + TU

SU = 4x

ST = 2x + 6

TU = 4

\(4x =( 2x + 6 )+ 4 \\ 4x = 2x + 10 \\ 4x - 2x = 10 \\ 2x = 10 \\ x = \frac{10}{2} \\ \\ x = 5\)

x = 5

ST = 2x + 6 = (5×2) + 6

HOPE THIS WILL HELP....

Answer:

x=1  y=3

Step-by-step explanation:

y = 4x - 1

y = -3x + 6

Set the two equations to each other

4x - 1  = -3x + 6

Add 3x to each side

4x +3x - 1  = -3x+3x + 6

7x-1 =6

Add 1 to each side

7x-1+1 = 6+1

7x= 7

Divide each side by 7

7x/7 = 7/7

x=1

Now we can find y

y = 4x-1

y = 4(1)-1

y = 3

Answer:

-4

Step-by-step explanation:

move like terms to one side and simplify

Answer:

Hello! answer: 48

Step-by-step explanation:

× = 20 20 × 7 = 140 140 - 92 = 48 HOPE THAT HELPS!

so first you would do 3 divided by 18 which is 6 so you would just add 6 to 18 which is 24 so there is your first answer, then add 6 to that which is 30 that is your second answer and then add 6 to that which is 36 so there is your last one

The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

Answer:

68

Step-by-step explanation:

24+24=48

                =68

10+10=20

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

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The time taken to completely fill the pool is 5/4 hour

From the question, the given parameters are:

Time =3/4 hour

Size of the pool = 3/5

The time to fill the pool is then calculated as

Time = Given time/Proportion of the pool

Substitute the known values in the above equation

So, we have the following equation

Time = 3/4 hour ÷ 3/5

Express the quotient as product

So, we have the following equation

Time = 3/4 hour x 5/3

Evaluate the products

Time = 5/4 hour

Hence, the time taken is 5/4 hour

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Answer:

Step-by-step explanation:

2x + 4 = 6x + 2

Bringing like terms on one side

4 - 2 = 6x - 4x

2 = 2x

2/2 = x

1 = x

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Worker B appears to be more consistent in performance, while Worker B is more efficient from an overall point of view.

To determine who appears to be more consistent in performance, we need to compare the standard deviations of A and B. Both A and B have a standard deviation of 1.5 hours, which means that they have the same level of consistency in their performance.

To determine who is more efficient from an overall point of view, we need to compare the mean times of A and B. Worker B has a mean time of 4 hours, which is less than the mean time of Worker A (5 hours). This means that Worker B is more efficient than Worker A in completing the job from an overall point of view.

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Answer:

1944 Cars

Step-by-step explanation:

108 x 18=1944

We must first multiply 108 x 18. If it is asking to multiply the dependant variable 18 cars, we have to keep on multiplying 18, 108 times. So the answer is 1,944.

Answer: Diane's car for the FIRST one because the line/ "gas" goes down at a slower rate I'm going to take an estimated guess and say she will have 15 left. For the SECOND one, it will be 180, and Omar's car

Answer:

You're asked to find the cube root of 125.

That is,to cancel the power of y, you'd have to cube root both sides.

answer is 5

1) The next number in the series 99, 33, 11, 11/3, 11/9, . . . is 11/27

The correct answer is an option (c)

2)  In the given group the smallest amount is .18

1.

We have been given a sequence of numbers 99, 33, 11, 11/3, 11/9,. . .

We need to find the next number in given sequence .

We can observe that given series is geometric sequence with the first term a₁ = 99 and the common ratio r = 1/3

We know that the formula for the n-th term of gemetric sequence is:

an = a₁ × r^(n - 1)

For n = 6,

a₆ = 99 × (1/3)⁽⁶ ⁻ ¹⁾

a₆ = 99 × (1/3)⁵

a₆ = 11/27

Hence, the next number in the series is 11/27

2.

If we arrange the numbers in ascending order then it would be,

0.18, 0.59, 0.7, 3, 6, 15

So, the smallest amount is .18

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You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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Answer:

3x+2

Step-by-step explanation:

Answer:

Its C. or option 3

Step-by-step explanation:

Inequality: In mathematics, an inequality is a statement that compares two values, expressions, or quantities using a relation symbol such as "greater than" (>), "less than" (<), "greater than or equal to" (≥), "less than or equal to" (≤), or "not equal to" (≠). An inequality indicates that the values or expressions being compared are not equal.

Combining like terms: In algebra, combining like terms refers to the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Inverse operations to isolate: In algebra, inverse operations are operations that undo each other. For example, addition and subtraction are inverse operations, as are multiplication and division. To isolate a variable in an equation or inequality, you can use inverse operations to undo the operations that are being performed on the variable.

To solve the inequality -13x + 46 > -45, you need to isolate the variable (x) on one side of the inequality.

1. First, you can subtract 46 from both sides of the inequality to get:

\(-13x > -91\)

2. Then, divide both sides of the inequality by -13 (remember that when you divide or multiply by a negative number, you need to flip the inequality sign) to get:

\(x < 7\)

Therefore, the solution to the inequality is x < 7. To check, you can substitute any value less than 7 into the inequality to see if it's true. For example, if you plug in x = 5, you get:

\(-13(5) +46 > -45\)

\(-19 > -45\)

This is true, so x < 7 is indeed a valid solution to the inequality.