Given (x – 1)2 = 50, select the values of x.

x = –49

x = 51

x= 1 + 5 (2

x= 1 - 5 (2

Answer ran 2 3/4 miles in 1/3 of an hour

2 3/4 miles =11/4 miles in 1/3 of hour

11/4 miles divided by 1/3 hr

11/4 ÷ 1/3

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr

Answer: 9.22 meters long

Step-by-step explanation: I did the assignment

Answer:

The person above me is correct its 9.22 meters long

Step-by-step explanation:

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(5, 4 ) → (4, - 5 )

Answer:

(4,-5)

Step-by-step explanation:

Definition : Rotate around  the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)

P(5,4) the mage is x=4, y=-5

Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.

To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.

Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:

Amount to borrow = Total cost - $10.00

Amount to borrow = C - $10.00

By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.

Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.

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Answer:

See the attached worksheet

Step-by-step explanation:

The function is transformed by subtracting 3 from both the x and y values. I'm uncertain how this is expressed in a functional form.

Answer:

60 ft

Step-by-step explanation:

3 times 20 is 60 ft so there is your answer

Answer:

C

Step-by-step explanation:

Diameter is 3 feet, and the radius is half the diameter.

Circumference

Distance travelled in 20 rotations

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.

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The length of side of BC is determined as 10.0 m.

option C.

The length of side of BC is calculated from the sum of the length of OB and OC as presented by the diagram.

Congruent triangles are triangles that have the same shape and size, but may be oriented differently or positioned differently in space. In other words, two triangles are considered congruent if their corresponding sides and angles are equal in measure. When two triangles are congruent, they are essentially identical to each other, and they can be superimposed on each other by translations, rotations, and reflections.

if triangle AOB is congruent to triangle BDC, then we can assume the following;

length of side AB = OB = OC = 5 m

BC = 5 m + 5m = 10 m

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Answer: k = 84

Step-by-step explanation:

0.12k = 10.08

k = 84                       Divide 0.12 to both sides

Answer:

k=84

Step-by-step explanation:

The forecast for the first week in April is Option B, 217.33.

By using a three-week moving average to forecast the rate of new driver's license applications for the first week of April, means that we will average the rate of new driver's license applications over the last three weeks to forecast the rate for the next week.

Let's calculate the moving average for the first week of April.

Given weeks 2, 3, and 4 of March are 199, 215, and 212, respectively.

To find the three-week moving average, we add these three rates and divide by three:

(199 + 215 + 212) / 3 = 208.67

Therefore, the forecast for the rate of new driver's license applications for the first week of April using the three-week moving average is 208.67, rounded to two decimal places, the closest option to 208.67 is option B, which is 217.33.

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The mean of 13 words, median of 10 words, and standard deviation of 13.20 words give us an idea of the central tendency and variability of the number of words learned by the seven infants.

(a) Mean: The mean is the average of the values and can be calculated by adding all the values and dividing by the number of values. For the number of words learned by the seven infants, the mean can be calculated as follows:

mean = (10 + 12 + 8 + 0 + 3 + 40 + 18) / 7 = 91 / 7 = 13

So the mean number of words learned by the seven infants is 13 words.

(b) Median: The median is the middle value in a set of values. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values.

0, 3, 8, 10, 12, 18, 40

The median is 10 words.

(c) Standard Deviation: The standard deviation is a measure of the spread or variability of a set of values.

First, the deviations from the mean are calculated as follows:

10 - 13 = -3

12 - 13 = -1

8 - 13 = -5

0 - 13 = -13

3 - 13 = -10

40 - 13 = 27

18 - 13 = 5

Next, the squared deviations are calculated:

(-3)^2 = 9

(-1)^2 = 1

(-5)^2 = 25

(-13)^2 = 169

(-10)^2 = 100

27^2 = 729

5^2 = 25

The variance is then calculated as the average of the squared deviations, divided by the number of values (n - 1):

variance = (9 + 1 + 25 + 169 + 100 + 729 + 25) / (7 - 1) = 1058 / 6 = 176.33

Finally, the standard deviation is calculated as the square root of the variance:

standard deviation = sqrt(variance) = sqrt(176.33) = 13.20

(d) Explanation: The mean, median, and standard deviation are measures of the central tendency and variability of a set of values. The mean is the average of the values and gives an idea of the typical value.

In this case, The mean tells us that the typical number of words learned by the seven infants is 13 words, the median tells us that half of the infants learned more than 10 words and half of the infants learned less, and the standard deviation tells us that the values are spread out around the mean with a deviation of about 13 words.

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9A:

The problem says 35% of the 3560 applications are from boys who lived in other states.

This can be expressed as:

3560*35% = 3560*0.35 = 1246 applications.

9B:

The problem says applications to the university (3560 applications) represented 40% of all applications.

This can be expressed as:

3560 = 40% * A, where A = number of applications received in all.

To find how many applications received in all, just solve for A.

A = 3560 / 0.4 = 8900 applications.

The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.

Answer:

1.pi times the radius squared

2. 12

3. Yes

4. 8

5. a googol

Step-by-step explanation:

12

22/7 I believe is the closest fraction.

It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.

Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.

8

Based on the given conditions, formulate:

\(64/8\)

Calculate

\(\frac{64}{8}\)

Cross out the common factor

\(8\)

I can figure out the rest once I get back home. I'm sorry I ran out of time.

The statement "according to the Marine Corps' teachings regarding making decisions, it is time to act as soon as 50 percent of the information is gathered and 50 percent of the analysis is done" is FALSE.

In the Marine Corps, decision-making is guided by a structured process called the Marine Corps Planning Process (MCPP). The MCPP emphasizes thorough planning and analysis before taking action. It involves several steps, including the receipt of the mission, mission analysis, course of action development, course of action analysis, course of action comparison, course of action approval, and orders production. The Marine Corps teaches the importance of gathering as much relevant information as possible and conducting a comprehensive analysis to support effective decision-making. Rushing to act with only 50 percent of the information and analysis completed would not align with the Marine Corps' approach to decision-making.

The Marine Corps values the principle of "Commander's Intent," which emphasizes understanding the purpose and desired end state of a mission. This enables subordinates to make informed decisions within the overall intent even in the absence of detailed guidance. Overall, the Marine Corps places a strong emphasis on informed decision-making and taking action based on a well-developed understanding of the situation and analysis.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

hey. I wish I could help but even me I'm not good at it. my cousin usually helps me do it but he's not around I'm sorry say.

Based on the current population and the rate of decrease, the population in five years will be 88,529 people.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.

This can be found by the formula:

= Current population x ( 1 - rate%) ^ number of years

Given that,

Current population = 100,000, rate = 3%, number of years = 4

= 100,000 x \((1-3)^{4}\)

= 100,000 x 0.88529281

= 88,529 people

Hence, The population in five years will be 88,529 people.

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Answer:

x=0

Step-by-step explanation:

The equation of line is y = -4

Given the points:

(x₁, y₁) = (-1, -4)

(x₂, y₂) = ( 3, -4)

The slope-intercept form:

y = mx + b

Where, m is the slope and b is the y-intercept, that is (0, b)

The formula for slope:

m = (y₂ – y₁) / (x₂ – x₁)

We have given

x₁ = -1

x₂ = 3

y₁ = -4

y₂ = -4

So,

m = (-4 – (-4)) / (3 – (-1)) = (-4 + 4) / (3 + 1) = 0/4 = 0

Therefore we have the equation of the line as:

y = mx + b

-4 = 0(x) + b

-4 = 0 + b

b = -4

Therefore, the equation of line y = -4

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The maximum income the doctor can get in a day is $1280

Time required for routine office visits = 15 minutes

Time required for physical visits = 45 minutes

Maximum physical visits possible in a day = 10

Maximum routine visits possible in a day = 12

Available hours for appointment = 9 hours or 540 minutes

Cost of routine appointment = $60

Cost of physical appointment = $70

In order to maximize income, she should do maximum possible routine visits as it gives more return in less time and the remaining time can be used to do physical visits, therefore:

No. of routine visits the doctor should do = 12

Time consumed in 12 visits = 12*15 = 180 minutes

Time remaining = 360 minutes

No. of physical visits she should do = 8

Time consumed in 8 physical visits = 8*45 = 360 minutes

Total income the doctor will generate in a day  = 12*60 + 8*70

= 720 + 560 = $1280

Hence, the maximum income of the doctor will be $1280

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Two standard six-faced dice are rolled. Jean wins if the product of the two numbers rolled is odd or a multiple of three, otherwise Allen wins. The probability that Jean wins is 13/36.

To find the probability that Jean wins, we need to determine the number of favorable outcomes for Jean and divide it by the total number of possible outcomes.
Let's first consider the favorable outcomes for Jean.

We know that the product of two numbers is odd if and only if both numbers are odd.

So, Jean wins if both dice roll odd numbers.

There are three odd numbers on a standard six-faced die (1, 3, and 5), so the probability of rolling an odd number on one die is 3/6 or 1/2.
Next, let's consider the multiples of three.

There are two multiples of three on a standard six-faced die (3 and 6).

The probability of rolling a multiple of three on one die is 2/6 or 1/3.
To find the probability that Jean wins, we need to find the probability of both dice rolling odd numbers and the probability of both dice rolling multiples of three.

We can multiply these probabilities together since these events are independent.
Probability of rolling odd numbers: 1/2×1/2 = 1/4
Probability of rolling multiples of three: 1/3×1/3 = 1/9
Now, we can find the probability that Jean wins by adding the probabilities of both cases:
Probability that Jean wins = 1/4 + 1/9 = 13/36
Therefore, the probability that Jean wins is 13/36.

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As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest  number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Answer:

As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.

HCF:

The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).

Given,

The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.

Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.

Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.

Here we have given that there are 30 instruments and 18 flag bearers.

Now, we need to find the prime factorization of 30,

That is,

30 = 2 x 3 x5

Similarly, the prime factorization of 18 is

18 = 2 x 3 x 3

Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be

=> 2 x 3 = 6.

Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.

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Step-by-step explanation:

Answer:

\(y = \frac{1}{3}x + 3\)

Step-by-step explanation:

Parallel lines have same slope

y = 1/3x - 4

m =\(\frac{1}{3}\\\)    and the line passes through (-3, 2)

Equation: y - y₁ = m(x - x₁)

\(y - 2 = \frac{1}{3}(x - [-3])\\\\y -2 = \frac{1}{3}(x+3)\\\\\\y - 2 = \frac{1}{3}x+\frac{1}{3}*3\\\\y -2=\frac{1}{3}x +1\\\\y =\frac{1}{3}x + 1+2\\\\y = \frac{1}{3}x + 3\)

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

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The equation that represents the slope-intercept form of the given graph is y = x + 4.

The slope-intercept form of a linear equation is an equation that is written or expressed in the form y = mx + b. In this situation, m is the slope of the line, and b is the y-intercept, which is the point where the line crosses the y-axis.

Now, if we have two coordinate points, (-1,3), (0,4). We need to first determine the slope of the graph.

Slope = change in the y-axis/change in x-axis

Slope = y_2 - y_1/ x_2 - x_1

Slope = 4 - 3/ 0- - 1

Slope = 1/ 1

Slope = 1

y-intercept  = 4

Thus, in form of y = mx + b, the slope-intercept form of the linear equation can be written as y = x + 4

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Answer:

15 lawns

Step-by-step explanation:

The Xbox costs $400 and his parents gave him $100. He needs to earn $300 more. $20 each lawn so $100 for 5 lawns. 5 lawns times three.

Xbox cost =400

Daniel's money =100

Xbox cost - Daniel money=300

yard cost =20

therefore 400 -100 /20

Daniel's need 15 yards to get the xbox

The pair of rational numbers with their sum are matched.

The numbers in the form of p/q is called the rational number.

1. -2/a²b +2/ab² = ( -2ab² +2a²b) / a³b³

                          = 2(a-b)/a²b²

2. 1/2ab -1/4a²b² =( 4a²b² -2ab) / 8a³b³

                            = 2ab -1 /4a²b²

3. 2/a²b³ -2/ab = (2ab -2a²b³) / a³b⁴

                         = 2( 1- ab²) /a²b³

4. 1/ab³ -1/a²b = a²b - ab³ / a³b⁴

                       = (a - b²) / a²b³

Thus, all the rational numbers are matched with their sum.

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