12x + 10 = px + 10
In the given equation, p is a constant. if the equation has exactly one solution, which of the following could NOT be a value of p?
A. 10
B. 11
C. 12
D. 13

pls show work I’m stuck on this question I need help

Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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Answer:

Step-by-step explanation: yes

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

Answer:   6  1/8

Step-by-step explanation:

Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:

1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8

then find a common denominator (so make everything over 8)

1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8    =      41/8

when you divide this, you will get 5 1/8

since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.

So, Emma had 6 1/8 ft string originally

For the given data, we will arrange the income per year from the least to the greatest then we will graph the income per year as (x) and saving per year as (y)

The following table represents the given data:

Now, we will graph the equation that represents the table

The general equation has the form: y = m * x + b

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

The value of (b) = the value of (y) when (x = 0)

So, b = -500

The equation of the line will be:

The graph of the table will be as shown in the following picture:

We will find the saving when x = $12,500

So, y = 0.1 * 12500 - 500 = 750

Answer:

15 !!!!

thanks for the points

Answer:

15 lol

Step-by-step explanation:

The fraction 1/4b + 1/4 = -1/2 is simplified to b = -12/4

A fraction can be defined as the part of a whole variable, or number.

The types of fractions are;

From the information given, we have that;

1/4b + 1/4 = -1/2

Now, collect iike terms

1/4b = -1/2 - 1/4

find the lowest common denominator

1/4b = -2 -1 /4

Add the numerators

1/4b = -3/4

Now, divide both sides by the coefficient of b

b = -3/4 × 4/1

Multiply the values

b =-12/4

Hence, the value is - 12/4

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Answer:

the firdst image in the uper left corner

Step-by-step explanation:

The formula in finding the distance between two points is given below:

\(\\\)

Cheers!

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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Answer:

$1,025.52

Step-by-step explanation:

Annual Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+r\right)^{t} $}\)

where:

Given:

Substitute the given values into the formula and solve for P:

\(\implies \sf 3900=P(1+0.16)^9\)

\(\implies \sf 3900=P(1.16)^9\)

\(\implies \sf P=\dfrac{3900}{(1.16)^9}\)

\(\implies \sf P=\dfrac{3900}{3.802961...}\)

\(\implies \sf P=1025.51662...\)

Therefore, you would need to invest $1,025.52.

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The vectors u, v, and w are linearly independent if and only if k ≠ -8.

To understand why, let's consider the determinant of the matrix formed by these vectors:

| -4   -3    -4   |

| -3   -3    -11+k |

| 5    -11+k  7    |

If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:

(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]

= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)

= -4k^2 + 80k - 484

To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:

-4k^2 + 80k - 484 = 0

Simplifying further, we get:

k^2 - 20k + 121 = 0

Factoring this equation, we have:

(k - 11)^2 = 0

Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.

In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.

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Answer:

Step-by-step explanation:

Parent graph: f(x) = ax²  and vertex (h, k) means the vertex form of a parabola that has the same shape: f(x) = a(x - h)² + k  

f(x) = x²        ⇒     a = 1

vertex: (5, 4)   ⇒   h = 5,   k = 4

Vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 and the vertex (5, 4):

                                                        f(x) = (x - 5)² + 4

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

x-intercept = 3, 0

y-intercept = 0, -4

Step-by-step explanation:

Answer:

The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20

Step-by-step explanation:

Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.

Hoped this help :)

Answer: 1-) is A plans 1 and 3

ANS 2 IS C plans 3

Step-by-step explanation:

Answer: x is the variable

Step-by-step explanation:

Anytime you see a letter in an expression it is a variable. Remember this, this is incredibly important. Good luck!

Answer:

10x-3140

Step-by-step explanation:

Multiply 785 and 4 (because it comes first in Order of Operations) and combine the two terms that have x in them.

Hope this helps :)

A. The equations to model the population of each town are as follows

Pa(t) = 4600 × \(e^{(0.06t)}\)  and Pb(t) = 10300 × \(e^{(-0.04t)}\)

B. The two towns will have the same population at 8.06 years. They would have 7461 people.

We can represent the population of each town as an exponential growth or decay equation.

(Pa), it is growing at 6% per year from an initial population of 4600.

P = P0 × \(e^{(rt)}\),. ⇒ Pa(t) = 4600 ×\(e^{(0.06t)}\)

the second town (Pb), it is declining at 4% per year from an initial population of 10300.

Pb(t) = 10300×\(e^{(-0.04t)}\)

when the towns will have the same population, we set Pa(t) = Pb(t)

4600 ×\(e^{(0.06t)}\) = 10300×\(e^{(-0.04t)}\)

ln(4600 ×\(e^{(0.06t)}\)) = ln(10300×\(e^{(-0.04t)}\) )

This simplifies to:

ln(4600) + 0.06t = ln(10300) - 0.04t

Combine the t terms

0.06t + 0.04t = ln(10300) - ln(4600)

0.10t = ln(10300/4600)

Now solve for t:

t = 10 × ln(10300/4600)

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e) (i) The equation representing the perimeter of the rectangular school ground is 2 \(\times\) (Length + Breadth) = 220 m.

(ii) If the length of the ground is 60 m, the breadth of the ground would be 50 m.

f) The information provided is insufficient to determine the breadth of the rectangular garden.

e) (i) To represent the perimeter of a rectangular school ground, we can use the formula:

Perimeter = 2 \(\times\) (Length + Breadth)

Let's assume "L" represents the length of the ground, and "B" represents the breadth of the ground.

Therefore, the equation for the perimeter of the school ground is:

Perimeter = 2 \(\times\) (L + B)

(ii) If the length of the ground is given as 60 m, we can substitute this value into the equation and solve for the breadth.

The equation becomes:

220 = 2 \(\times\) (60 + B)

Simplifying the equation further, we have:

220 = 120 + 2B

Subtracting 120 from both sides of the equation, we get:

220 - 120 = 2B

100 = 2B

Dividing both sides of the equation by 2, we find:

B = 50

Therefore, if the length of the ground is 60 m, the breadth of the ground would be 50 m.

f) Using a similar approach, we can solve for the breadth of the rectangular garden.

Let's assume the length of the garden is represented by "L" and the breadth by "B."

The formula for the perimeter of a rectangle is:

Perimeter = 2 \(\times\) (Length + Breadth)

Substituting the given value into the equation, we have:

120 = 2 (L + B)

Simplifying further, we get:

120 = 2L + 2B

Dividing both sides of the equation by 2, we have:

60 = L + B

To solve for one variable, we need more information.

Without additional details about the length or breadth, we cannot determine the specific values of L or B.

In summary, the perimeter of the rectangular garden is given as 120 m, but without more information, we cannot find the exact values of the length and breadth.

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the likelihood that the sample proportion of family units investing more than $125 a week is between 0.24 and 0.41 is 0.841 or generally 84.1% 

From the given data, the sample size given in the problem is  149. 

and the population extent of families investing more than $125 a week on foodstuffs is 0.36.

Now, we have to find the likelihood that the sample proportion of families investing more than $125 a week on basic supplies is between 0.24 and 0.41.

The standard blunder(error) of the sample extent (proportion) can be calculated utilizing the taking after equation:

SE (sample extent) = √[(p*(1-p))/n].

Where,

p is the population proportion

n is the sample estimate.

SE = √[(0.36*(1-0.36))/149]

SE = 0.049.

Able to utilize the standard typical distribution to discover the likelihood. We have to standardize the test extent utilizing the taking after equation:

z = (p - P) / SE

Where P is the population extent,

p is the sample extent (proportion)

and SE is the standard error.

For p = 0.24, z = (0.24 - 0.36) / 0.049 = -2.45

For p = 0.41, z = (0.41 - 0.36) / 0.049 = 1.02

with the help of a standard ordinary table or a calculator, be ready to discover the probabilities related to these z-scores:

P(z < -2.45) = 0.007

P(z < 1.02) = 0.848

Hence, the likelihood that the sample extent (proportion)  of family units investing more than $125 a week is between 0.24 and 0.41 is:

P(-2.45 < z < 1.02)

= P(z < 1.02) - P(z < -2.45)

= 0.848 - 0.007

= 0.841

Therefore P(-2.45 < z < 1.02) = 0.841 or roughly 84.1% 

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To round a number to the nearest 100, one look at the tens digit. If the tens digit is 5 or more, round up. If the tens digit is 4 or less, round down.

To round a number to the nearest hundred, you can divide the number by 100, round the result to the nearest integer, and then multiply the result by 100. For example, to round 345 to the nearest hundred, you can divide 345 by 100 to get 3.45, round 3.45 to 3, and then multiply 3 by 100 to get 300. Therefore, 345 rounded to the nearest hundred is 300.

Here are some more examples:

478 rounded to the nearest hundred is 500

391 rounded to the nearest hundred is 400

622 rounded to the nearest hundred is 600

719 rounded to the nearest hundred is 700

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Complete question

How can you round off numbers rounded to the nearest hundred?

Minimum Increment operations to make Array unique

The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .

ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.

Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.

When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.

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Any graph that has a horizontal line at a period stays constant for a while.

In all cases, the function is moving right. If the function is moving right but the vertical axis remains constant, forming an horizontal line, the function is constant for that period.

Hence the graph in this problem shows that the height stays constant for a while because it has a horizontal line.

(the problem is incomplete as the graph is not given, but the explanation for a constant function is always this).

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Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.

3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:

3x + 2y = 2.85   (1)

4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:

4x + 5y = 5.41   (2)

Solving equation 1 and 2 simultaneously gives:

x = 0.49, y = 0.69

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

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Answer:

I think it’s best to ask your teacher

Step-by-step explanation:

Sorry I needed the points

Here are the correct matches between the algorithms and their complexity: Linear search: O(n).

Linear search is an algorithm that sequentially checks each element in a list until a match is found. It has a time complexity of O(n) because in the worst case scenario, it may need to iterate through all n elements in the list. Binary search: O(log n). Binary search is an algorithm that divides a sorted list in half repeatedly until the target element is found. It has a time complexity of O(log n) because with each iteration, the search space is halved, resulting in a logarithmic growth rate. Bubble sort: O(n^2). Bubble sort is a simple sorting algorithm that repeatedly swaps adjacent elements if they are in the wrong order. It has a time complexity of O(n^2) because it needs to iterate through the list multiple times and compare each pair of elements. Insertion sort: O(n^2). Insertion sort is an algorithm that builds a sorted list by repeatedly inserting elements into the appropriate position. It has a time complexity of O(n^2) because in the worst case, each element may need to be compared and shifted multiple times to find its correct position.

Remember that big O notation represents the upper bound of an algorithm's time complexity, indicating how the runtime grows as the input size increases. These complexities provide insights into the efficiency and scalability of the algorithms in different scenarios.

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