Solve for m.
m
15.02 = + 19.16
-4
m
Submit

Answer:

(3480 - 600)/2 = 1440cm

Step-by-step explanation:

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

r = 5 miles

Step-by-step explanation:

\(Radius (r) = ?\\Volume = 392.5\\Height (h) = 15\\ V = \frac{1}{3}*pi*r^{2} *h\\392.5= \frac{1}{3} * 3.14 *r^{2} *15\\392.5 * 3 = 1* 3.14 * r^{2} *15\\1,177.5 = 47.1r^{2} \\Divide - both - sides - of -the - equation by 47.1\\r^{2} = 25\\Square -root-both-side-to-eliminate-the-square\\\sqrt{r}^{2} =\sqrt{25} \\r = 5\\r =5 miles\)

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

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Answer:

4.75

Step-by-step explanation:

ABC is a 30-60-90 triangle. AB is the short leg that we are looking for. AC is the longer leg and it is 9.5. The short leg is half the length of the long leg, so AB = 4.75

Answer:

4.75

Step-by-step explanation:

ABC is a 30-60-90 triangle. AB is the short part that we are looking for. AC is a longer part and it is 9.5. The short part is half the length of the long leg, so AB = 4.75

the solution to the system of linear equations is:

(x1, x2, x3) = (2, 3, 1)

[  1  -2   4 |  0 ]

[ -1   1  -2 | -1 ]

[  1   3   1 |  2 ]

Applying Gaussian elimination:

Row2 = Row2 + Row1

Row3 = Row3 - Row1

[  1  -2   4 |  0 ]

[  0  -1   2 | -1 ]

[  0   5  -3 |  2 ]

Row3 = 5  Row2 + Row3

[  1  -2   4 |  0 ]

[  0  -1   2 | -1 ]

[  0   0   7 |  7 ]

Dividing Row3 by 7:

[  1  -2   4 |  0 ]

[  0  -1   2 | -1 ]

[  0   0   1 |  1 ]

```

Now, we'll perform back substitution:

From the last row, we can conclude that x3 = 1.

Substituting x3 = 1 into the second row equation:

-1x2 + 2(1) = -1

-1x2 + 2 = -1

-1x2 = -3

x2 = 3

Substituting x3 = 1 and x2 = 3 into the first row equation:

x1 - 2(3) + 4(1) = 0

x1 - 6 + 4 = 0

x1 = 2

Therefore, the solution to the system of linear equations is:

(x1, x2, x3) = (2, 3, 1)

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There are 45 possible 4-digit strings with exactly two zeros.

When solving for the number of 4-digit strings with exactly two zeros, there are different approaches to this problem.

One method is to use the combination formula or C(n,r), where n represents the total number of digits and r is the number of zeros to be chosen for the 4-digit string.

Combination formula

C(n,r) = n!/[r!(n - r)!]

Applying this formula, there are 10 digits to choose from and we want exactly two of them to be zeros, so r = 2.

We then substitute these values into the formula:

C(10,2) = 10!/[2!(10 - 2)!]C(10,2) = 45

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Answer:

B: f(x) = –7x2 – x + 2

Step-by-step explanation:

The biggest exponent in a quadratic function is a 2.

A. Is NOT the answer because it has an exponent of 3 (that's a cubic not a quadratic)

C. Is NOT the answer because it is linear, if you graph it, it's a line. The highest exponent is 1.

D. Is NOT the answer, because even though it shows a power of 2, the coefficient (the number next to it) is a zero, so that term would fall out of the equation and it would be linear like C.

So B: f(x) = –7x2 – x + 2 is your answer. Its highest exponent is two and if you graph it, it would make a parabola.

Answer:

C. y=x-6

Step-by-step explanation:

x is input

y is output

difference is subtraction

Answer:

C.y=x-6

Step-by-step explanation:

x is input

y is output

output = input - 6

y = x - 6

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

From the question, we have the following parameters that can be used in our computation:

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

The paintball will hit the disc after around 2.16 seconds.

To find the time it takes for the paintball to hit the disc, we need to find the common value of t when the height of the disc and the path of the paintball are equal.

Setting the two functions equal to each other, we get:\(5t^2 - (149/5)t + 1 = 0\).

Rearranging the equation, we have:\(5t^2 - (149/5)t + 1 = 0\).

This is a quadratic equation. By solving it using the quadratic formula, we find that t ≈ 2.16 seconds.

Therefore, it will take approximately 2.16 seconds for the paintball to hit the disc.

In conclusion, the paintball will hit the disc after around 2.16 seconds.

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The answer to the given question is option c) The blocks in this design are the four different litters.

In a block design, the experimental units are grouped into homogeneous sets or blocks based on one or more characteristics that are expected to affect the response variable. The purpose of blocking is to reduce the variability of the response variable by reducing the differences between the experimental units within each block. In this experiment, the four different litters are the blocks. The pigs within each litter are expected to be more similar to each other than to pigs from other litters, so the blocks will reduce the variability of the response variable (e.g. weight gain, feed consumption) by accounting for the differences between the litters. The three different dietary supplements are the treatments that are being compared, and the 24 identical pens are the locations where the treatments are applied.

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The second orthogonal vector b₂ is (5/2, -5/2, -1/2, 1/2). To find the orthogonal basis B for W using the Gram-Schmidt process, we start with the given vectors a₁ = (1, 1, 1, 1) and a₂ = (4, -1, 1, 2).

1. Normalize the first vector:

  b₁ = a₁ / ||a₁||, where ||a₁|| represents the magnitude or length of a₁.

  In this case, ||a₁|| = sqrt(1^2 + 1^2 + 1^2 + 1^2) = 2.

  So, b₁ = (1/2, 1/2, 1/2, 1/2).

2. Find the projection of the second vector a₂ onto the normalized first vector b₁:

  proj(b₁, a₂) = (b₁ · a₂) * b₁, where · represents the dot product.

  In this case, (b₁ · a₂) = (1/2)(4) + (1/2)(-1) + (1/2)(1) + (1/2)(2) = 3.

  Therefore, proj(b₁, a₂) = 3 * (1/2, 1/2, 1/2, 1/2) = (3/2, 3/2, 3/2, 3/2).

3. Subtract the projection from the second vector to obtain the second orthogonal vector:

  b₂ = a₂ - proj(b₁, a₂) = (4, -1, 1, 2) - (3/2, 3/2, 3/2, 3/2) = (5/2, -5/2, -1/2, 1/2).

Therefore, the second orthogonal vector b₂ is (5/2, -5/2, -1/2, 1/2).

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The distance from the chin to the forehead is 1.5 times the distance between the ears.

The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.

Calculation:-

We can express the given information as:9/6

9/6 = 1.5.

Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.

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The range of the function k(x)=(x+1)² is {1, 4, 9, 16, 25}.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are k(x)=(x+1)² and n(x)=(x-1)².

We know that, domain is set of x-coordinates and range is set of y-coordinates.

Substitute x=0,1, 2, 3, 4, 5,...in the function k(x)=(x+1)².

y=1, 4, 9, 16, 25

So, the range ={1, 4, 9, 16, 25}

Substitute x=0,1, 2, 3, 4, 5,...in the function n(x)=(x-1)².

y=1, 0, 1, 4, 9, 16

So, the range ={1, 0, 1, 4, 9, 16}

Therefore, the range of the function k(x)=(x+1)² is {1, 4, 9, 16, 25}.

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The amount of payment that Daniel has to pay is 1,092.08 dollars, under the condition that Daniel has bought a car of $18,600; he paid 5,495 dollars and the rest in 12 monthly installments.

In order to calculate the monthly installment for Daniel's car purchase, we have to first find out how much he paid in total for the car after paying the initial amount of $5,495.

Then, the total amount he paid for the car is 18,600 - 5,495

= $13,105

Now, we need to evaluate how much he paid monthly for the remaining amount of 13,105 dollars over the interval of 12 months.

We can perform the formula for calculating monthly installments

Monthly Installment = (Loan Amount + Total Interest) / (Loan Period x 12)

Then,

Loan Amount = $13,105

Loan Period = 12 months.

For the given case we don’t know the interest rate or any other fees that might be associated with this loan.

However, if we assume that there is no interest or fees associated with this loan, then the monthly installment will be

Monthly Installment = (Loan Amount) / (Loan Period x 12)

= (13,105) / (12 x 1)

= $1,092.08

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The complete question is

Daniel has bought a car whose value was 18,600 dollars at the time of purchase, he paid 5,495 dollars and the rest in 12 monthly installments, how much do I pay each month?

Answer:

5:3

Step-by-step explanation:

this is because 15:10 can be divided by 5 on each side

Answer:

2:3

Step-by-step explanation:

I hope this helps!

The variance of the return on a portfolio with many securities is more dependent on the covariances between the individual securities than on the variances of the individual securities.

The variance of a portfolio measures the variability or dispersion of the portfolio's returns. When a portfolio consists of multiple securities, the overall variance is influenced by the interrelationships among the returns of those individual securities.

The covariance between individual securities in a portfolio has a significant impact on the portfolio's variance.

The diversification benefits arise from the fact that covariances tend to offset each other, potentially leading to a lower overall portfolio variance compared to the sum of individual variances.

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Step 1: Find dy/dx

If xy = 36, then y = 36/x or y = 36 x^(-1).

dy/dx = -36/x^2

Step 2: evaluate dy/dx at (9,4).

dy/dx at (9,4) = -36/(9^2) = -4/9

Step 3: put together your equation in point-slope form:

y - 4 = -4/9(x-9)

or put that into slope-intercept form:

y = -4/9x +8

64 kilograms is equal to approximately 141 pounds. Kilograms and pounds are units of measurement for weight, with kilograms being part of the metric system and pounds part of the imperial system.

64 kilograms is a unit of weight that is part of the metric system. This unit of measurement is widely used around the world, particularly in scientific and medical applications. To convert kilograms to pounds, you can multiply the number of kilograms by 2.20462 which is conversion factor.

In this case, 64 kilograms is equal to approximately 141 pounds. Pounds, on the other hand, are part of the imperial system of units and are widely used in countries such as the United States. When converting between units of measurement, it is important to be precise and accurate to ensure that you obtain accurate results.

In many cases, you can use conversion tools such as calculators or charts to convert between units of measurement. However, it is also important to understand the basic conversion formulas so that you can perform the calculations manually if necessary.

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Answer:

There were 74 hot dogs and 117 sodas sold.

Step-by-step explanation:

The following equation describes the conditions of the question:

\(191=x+(x+43)\\191=2x+43\\\)

where x is the number of hot dogs sold.

Solve for x:

\(191=2x+43\\(191)-43=(2x+43)-43\\148=2x\\\frac{148}{2}=\frac{2x}{2}\\74=x\)

There were 74 hot dogs sold and (74+43) or 117 sodas sold.

Answer:

7 and 11

Step-by-step explanation:

Answer:

Its A And D Hope This Helps

a. In 2001, it has been calculated that the number of enrolled students that the school would have is given as 150.

b. In the academic year 2018, 468 thousand students are anticipated to enroll at the institution abroad.

The equation that would be used to get the value of the population has been given to us as follows,

y = 123.1(1.069)^x

We are to find x and use it to solve the equation.

X would be used to tell us the number of years that have passed or what lies as the difference.

in which x is the number of years that have changed.

x = 2001 - 1998 = 3

We have to input the value of x to get the value of y

y = 123.1(1.069)³

This gives us y = 150.4

Hence 150 students  would be enrolled.

b. We have to solve for the year 2018

Similarly, the difference between these years is given as:

x = 2018 - 1998 = 20

Put the value in the equation

y = 123.1 * (1.069)²⁰

Y is therefore  467.5

y ~ 468 thousand

Hence 468 are enrolled in this year.

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Answer:

y = 3x + 6

Step-by-step explanation:

Since the line is parallel, it has the same slope -- 3

y = 3x + b, sub point (1, 9)

9 = 3(1) + b

9 = 3 + b

b = 9 - 3

b = 6

y = 3x + b -- y = 3x + 6

Answer:

y = -x + 1

Step-by-step explanation:

Any point on an angle bisector has equal distance to both sides

Bisector line slope = rise/run = -1    (rise=run and moves from left to right)

equation: y = mx + b

y = -x+b

pass (2.-1)

-1 = -2 + b     B = 1

y = -x+1  

check: (y- -1)/(x-2) = -1

y+1 = -x+2

y = -x + 1