The coordinates of the endpoints of MP are M(-3,-2) and P(-2,3). which measurement is closest to the length of MP in units
A 7.1 units
B 5 units
C 4.5 units
D 10 units

Answer:

the answer would be 1 and 1/3

The yearly insurance fee is paid for a house valued at 4,500 naira if the fee is 1/8 of it's value is 562.5.

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

Now, according to the question;

The initial value of the house is 4,500.

The insurance fee is 1/8 of 4,500.

1/8 in percentage is;

= (1/8)×100

= 12.5

Now, calculate the 12.5 of 4,500.

= (12.5×4,500)/100

= 562.5

Therefore, the insurance fee paid for the house is 562.5.

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Answer:

The answer is 35.

Step-by-step explanation:

The given polynomial is p(x) = 5x² -4x + 2 we substitute x = 3 in the polynomial:

p(3) = 5(3)² -4(3) + 2 = 5×9 - 12 + 2 = 45 - 12 + 2 = 47 - 12 = 35

Hence, p(3) =35

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

Answer:

4.6 and 3.5 and 3.6.

Step-by-step explanation:

Because they have to be in a range between 3.7 and 4.3.

Answer:

You don't have any numbers in the question so this isn't possible to be answered. Feel free to add the numbers under this comment, if you still need help.

Answer:

16 is the correct answer

A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest is the men in the village.  

the relevant population data are the heights of all men in the village, and the population parameter of interest is the average height of all men in the village there are 780 men in the village, and the sum of their heights is 4,617.6 feet. Therefore, the average height of all the men in the village is:

Average Height = Sum of Heights / Number of Men

Average Height = 4,617.6 feet / 780 min

Average Height = 5.92 feet

Instead of measuring the heights of all the village men, the researcher measured the heights of 13 village men and calculated the average to estimate the average height of all the village men. The sample for his estimation is the 13 village men, the relevant sample data are their heights, and the sample statistic is the average height of the 13 village men If the sum of the heights of the 13 village men is 79.3 feet, their average height is:

Average Height (sample) = Sum of Heights (sample) / Number of Men (sample)

Average Height (sample) = 79.3 feet / 13 min

Average Height (sample) = 6.10 feet.

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Answer:

B

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x           Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20                    Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x \((1+r/m)^{mt}\)

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x\((1+0.06/12)^{1x12}\)

                                   = $2972.70

The Future value in 1.5 years=2800x\((1+0.06/12)^{1.5x12}\)

                                       = $3063.00

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We were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of the columns of a. 2 4 3 2 1 3 5 can be written as 2a1 + 2a2 + 0a3.

To determine whether a given vector is in the span of columns of a matrix, we need to check whether that vector can be expressed as a linear combination of the columns of the matrix.

Let's assume that matrix a has the following columns:

a = [ 1 2 3

2 4 3

3 6 5

4 8 7 ]

For the first vector, 2 4 1 2 3 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 1 2 3 3 5 = 2a1 + 2a2 - 2a3

Therefore, the first vector is in the span of the columns of a.

For the second vector, 2 4 3 2 1 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 3 2 1 3 5 = 2a1 + 2a2 + 0a3

Therefore, the second vector is also in the span of the columns of a.

In both cases, we were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of columns of a.

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The example of 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx is reflection Ab.

Matrices, the plural form of matrix, are the groupings of numbers, variables, symbols, or phrases in a rectangular table with varying rows and columns. These are rectangular arrays with specified operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, whereas the vertical elements are referred to as columns.

Let,

\(B = \left[\begin{array}{cc}0&1\\1&0&0&0\end{array}\right] , A = \left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right]\)

Then,

\(AB =\left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right] \left[\begin{array}{cc}0&1&1&0&0&0\\\end{array}\right] \\\\AB = \left[\begin{array}{cc}0&1&1&0\\\end{array}\right]\)

Therefore, Ab is reflection about y = x .

As U = Bx and T∘U    

A matrix is a rectangular array of integers, variables, symbols, or expressions that are defined for subtraction, addition, and multiplication operations. The number of rows and columns in a matrix determines its size (also known as the order of the matrix).          

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The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.

In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.

According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.

Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.

The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.

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Null hypothesis : \(H_{0} : p=0.25\)

Alternative hypothesis : \(H_{a};p\neq 0.25\)

Given : A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 159 yellow peas.

i.e. p=159/429=0.3706

For 95% level of confidence interval , significance level :

Critical value of z =\(Z_{a/2}\)=1.96

Confidence interval for population proportion :

p±\(Z_{a/2}\)\(\sqrt{\frac{p(1-p)}{n} }\)

=0.37±(1.96)\(\sqrt{0.37(1-0.37)/429\)

=0.37±0.045687

=0.37±0.05

(0.32, 0.12)

Since 0.25 is not contained in the confidence interval , it means is not reasonable that the true proportion is 0.25 (25%).

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Answer:

Step-by-step explanation:

In the function call, the argument tax_percentage is assigned the value of 0.07.

In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.

The function split_check is being called with the following arguments:

60.52 as the amount of the check

5 as the number of people to split the check among

0.07 as the tax percentage

0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)

Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.

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Answer:

0.94s+1.65

Step-by-step explanation:

0.075*22+0.075*1.25s

0.075*22 is 1.65

0.075*1.25s is 0.9375 but rounded to the nearest hundreth so 0.94.

Our final expression is 0.94s+1.65

Hope this helps :)

The strongest influence on your behavior of taking home company supplies is the norm of social conformity within the workplace.

Social conformity refers to the tendency of individuals to adjust their behavior, thoughts, and actions to match the perceived norms of a particular social group. In the workplace, employees often observe the behavior of their peers and conform to their actions to fit in and be accepted.

When you witness your fellow employees regularly taking home company supplies, it creates a perceived norm that this behavior is acceptable or tolerated within the organization.

As a result, you may feel compelled to engage in similar behavior to conform and avoid standing out or facing social disapproval. The influence of social conformity can be strong, leading individuals to adopt behaviors they may otherwise consider wrong or unethical.

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that the statistic being collected is the mean difference in scores from the beginning and the end of the semester.

In this scenario, the fourth grade class is given a standardized math test at the beginning and end of the semester. The scores from both tests are compared, and the difference between the two scores is calculated for each student. The mean difference in scores is then considered as a statistic to evaluate the overall progress of the class.

Mean difference is a statistical measure that represents the average difference between two sets of data. It is calculated by subtracting the mean of one set from the mean of the other set and then dividing the result by the number of data points.

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Answer:

54 marbles

Step-by-step explanation:

7+2=9(amount Eric had in all)

9×6=54

so in all, he bought 54 marbles which he shared among his friends and brother.

ANS:54 marbles

The value p = 1/2 + √(3)/2 does give us exactly one point with a gradient of zero.

A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It takes the following form:

ax² + bx + c = 0

To find the value of p for which the graph of f has exactly one point with a gradient of zero, we need to find the derivative of f(x) and set it equal to zero.

First, we can simplify f(x) by factoring out 4x:

f(x) = 4x(x + p/(4x+4))

Now, we can find the derivative of f(x):

f'(x) = 4(x + p/(4x+4)) + 4x(1 - p/(4x+4)²)

To find the point(s) where f'(x) = 0, we set it equal to zero and solve for x:

4(x + p/(4x+4)) + 4x(1 - p/(4x+4)²) = 0

Simplifying and multiplying through by (4x+4)²:

16x³ + 32px² + 16px - 16p = 0

Dividing through by 16x:

x² + 2px + p - 1 = 0

Now, we can use the discriminant of this quadratic equation to determine the value of p that gives exactly one point with a gradient of zero. The discriminant is:

b² - 4ac = (2p)² - 4(1)(p-1) = 4p² - 4p + 4 = 4(p² - p + 1)

For the graph of f to have exactly one point with a gradient of zero, the discriminant must be equal to zero, because that means there is only one value of x that satisfies f'(x) = 0. So, we set the discriminant equal to zero and solve for p:

4(p² - p + 1) = 0

p² - p + 1 = 0

Using the quadratic formula:

p = (1 ± √(1 - 4))/2 = 1/2 ± √(3)/2

So, the two possible values of p for which the graph of f has exactly one point with a gradient of zero are:

p = 1/2 + √3)/2

p = 1/2 - √(3)/2

Note that we should check that these values of p actually give us a point with a gradient of zero. If we substitute each value of p back into the derivative f'(x), we get:

When p = 1/2 + √(3)/2:

f'(x) = 4(x + (1/2 + √(3)/2)/(4x+4)) + 4x(1 - (1/2 + √(3)/2)/(4x+4)²)

Simplifying, we get:

f'(x) = (16x³ - 8x² + (4√(3) - 4)x + 4√(3) - 4)/(4(x+1)²(x+1+√(3)))

We can see that the denominator is always positive, so the gradient of f can only be zero when the numerator is zero. To find the value of x that satisfies this, we need to solve the cubic equation:

16x³ - 8x² + (4√(3) - 4)x + 4√(3) - 4 = 0

Using numerical methods, we find that there is only one real root, which is approximately x = 0.265. Therefore, the value p = 1/2 + √(3)/2 does give us exactly one point with a gradient of zero.

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The estimated radius of the circular object with an area of 40 cm² is 3.57 cm

To find the inverse function r(A), we can start by setting A = πr² and solving for r:

A = πr²

A/π = r²

r = √(A/π)

Therefore, the inverse function is r(A) = √(A/π).

To estimate the radius of a circular object with an area of 40 cm², we can simply substitute A = 40 cm² into the inverse function:

r(40) = √(40/π) ≈ 3.57 cm

Therefore, the estimated radius of the circular object with an area of 40 cm² is approximately 3.57 cm

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The open sentence has integers that are true: (a) |n - 2| = 3, (b) 2n² – 5n + 2 = 0, (c) n² > 0, (e) |Inl + In - 1| + In - 2| = 3 and (d) n³ = 2n is false.

To determine the true value of open sentences involving integers, we can use the concept of substitution. We substitute each possible integer value into the open sentence and determine whether the resulting statement is true or false.

(a) For the first function substitute -1 and 5 into the expression |n-2|=3 and find that both result in a true statement.

The open sentence P(n): |n-2| = 3 is true for n = -1 and n = 5.

(b) For the second function substitute 1/2 and 2 into the expression 2n² - 5n + 2 = 0 and find that both result in a true statement.

The open sentence P2(n): 2n² - 5n + 2 = 0 is true for n = 1/2 and n = 2.

(c) Third function is a universally true statement, as n² is always positive for any integer except n = 0.

The open sentence P3(n): n² > 0 is true for all integers n except for n = 0.

(d) For the fourth function substitute 2 into the expression n³ = 2n and find that it results in a true statement.

The open sentence P4(n): n³ = 2n is true for n = 2 and false for all other integers.

(e) For the fifth function we need to consider several cases depending on the sign of Inl + In-1 and In-2. By systematically considering each case and the corresponding value of n, we find that the statement is true only for n = 2, 3, and 4.

The open sentence Ps(n): |Inl + In - 1| + |In - 2| = 3 is true for n = 2, 3 and 4.

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Answer: what does this say please help

Step-by-step explanation:

Answer:

(1,-3)

Step-by-step explanation:

Hi there! :)

Answer:

\(\huge\boxed{D, x -4}\)

---- Starting with: ----

x² - 10x + 24

Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.

By guessing and checking, we get the numbers -6 and -4. Put these into factors:

(x - 6)(x - 4)

Therefore, a binomial present in factored form is D. x - 4

Answer:

12 kilometers per minute

Step-by-step explanation:

48/4 = 12