Can someone answer this please?

The product of 669 and 83 is 55,527

In order to find the product of 669 and 83, we can use the distributive law as shown:

(669)(83)

= (600 + 60 + 9)(80 + 3)

= (600*80) + (600 * 3) + (60*80) + (60*3)+ (9*80) + 9(3)

= 48000 + 1800 + 4800 + 180 + 720 + 27

= 55,527

Hence the product of 669 and 83 is 55,527

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(a) the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01

(b) the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51

(a) To calculate the present value of $28,500 due 9 periods from now, discounted at 9%, we can use the present value formula:

Present Value = Future Value / (1 + Interest Rate)^Number of Periods

Plugging in the values, we have:

Present Value = $28,500 / (1 + 0.09)^9

Calculating this expression gives us:

Present Value = $28,500 / 1.9487179487

Present Value ≈ $14,656.01

Therefore, the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01.

(b) To calculate the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, we can use the present value of an annuity formula:

Present Value = Cash Flow * (1 - (1 + Interest Rate)^(-Number of Periods)) / Interest Rate

Plugging in the values, we have:

Present Value = $28,500 * (1 - (1 + 0.09)^(-6)) / 0.09

Calculating this expression gives us:

Present Value ≈ $132,937.51

Therefore, the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51.

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Answer:

x=75

Step-by-step explanation:

Answer:

x=-75

Step-by-step explanation:

Hope this helps.

An equation of the plane through the point (-1, -5, 1) and perpendicular to the vector (5, 4, 2) can be -4x + 5y - 2z = 11.

First, the normal vector of the plane must be determined. The vector perpendicular to the given vector (5, 4, 2) is (-4, 5, -2).

Now, the equation of the plane can be determined using the given point and the normal vector. The standard form of the equation of a plane is Ax + By + Cz = D.

We can use the point (-1, -5, 1) and the normal vector (-4, 5, -2) to calculate the values of A, B, C, and D in the equation. To do this, we can use the point-normal form of the equation of a plane.

The point-normal form is (x - x1) × nx + (y - y1) × ny + (z - z1) × nz = 0. We can plug in the point and normal vector values into this equation to calculate A, B, C, and D.

Therefore, the equation of the plane is -4x + 5y - 2z = 11.

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Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

Edge2020

The value of (3 + x) / (x + 3) = 1

The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ - 1 (x - 3)

The value of (3 - x) / (x - 3) = - 1

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

⇒ (3 + x) / (x + 3) and (3 - x) / (x - 3)

Now, We can solve as;

The value of (3 + x) / (x + 3) is,

⇒ (3 + x) / (x + 3) = (x + 3) / (x + 3)

                          = 1

And, The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ (3 - x) = - 1 (x - 3)

And, The value of (3 - x) / (x - 3) is,

⇒ (3 - x) / (x - 3) = - (x - 3) / (x - 3)

                        = - 1

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Step-by-step explanation:

y = mx + b, where m is the line's slope and b is the y-intercept.

We have m = -1. When x = -1, y = 2/3.

=> (2/3) = (-1)(-1) + b, b = 2/3 - 1 = -1/3.

Hence the value of b is -1/3.

In terms of the calculation, the answer is 39/4 in improper fraction.

An improper fraction has a denominator that is greater than or equal to the numerator. Based on the numerator and denominator values, proper fractions and improper fractions are the two main types of fractions in mathematics.

A mixed fraction is a fraction formed by combining a natural number and a proper fraction. It is a shortened version of an improper fraction.

The given equation is \(3\frac{1}{4}\) + \(6\frac{1}{2}\) .

Taking 4 as LCM from the above equation.

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13/4) + (13/2)

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13+26)/4

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = 39/4

Now, since the solution must be proffered in an improper fraction.

Therefore, the obtained improper fraction is 39/4.

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Answer:

  A.  -5

Step-by-step explanation:

You want the slope of a graphed line that crosses grid points (0, 2) and (1, -3).

The sign of the slope is positive if the line goes up to the right. This line goes down to the right, so the sign of its slope is negative. (Eliminates choices C and D)

The magnitude of the slope is the ratio of vertical distance to horizontal distance between two points. This line drops 5 vertical squares for each square to the right, so its slope is ...

  rise/run = -5/1 = -5

The slope is best represented by -5.

__

Additional comment

From a point on the line that is a crossing of grid lines, if the line crosses the next vertical grid line before it crosses the next horizontal grid line, the magnitude of its slope is less than 1.

Here, the line crosses several horizontal grid lines before it crosses another vertical grid line, so its slope has a magnitude greater than 1. When the choice is between -5 and -1/5, the larger magnitude number is -5.

From two points on the line, you can find the slope using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -2)/(1 -0) = -5/1 = -5 . . . . . . using points (0, 2) and (1, -3)

Answer:

25%

Step-by-step explanation:

The formula for finding change over time

P= N-O/O times 100

P= percent

N= new value (for this problem 40)

O= old value (for this problem 32)

100 to get the percentage

First, subtract 32 from 40 to get 8.

Then, divide 8 by 32 to get 0.25

Lastly multiply by 100 to get 25 which is your percentage of change

Answer:

$90

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 2000 × 0.09 × 0.5 = 90

I = $ 90.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 9% per year

for 0.5 years is $ 90.00.

Answer: im guessing  68.50 kg (y = –133.18 + 115.91 × 1.74 m).

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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The percent changes that we need to write in the table are, in order from top to bottom:

To find the percent change, we need to use the formula:

P = 100%*(final population - initial population)/initial population.

For the first case, we have:

initial population = 111

final population = 128

Then:

P = 100%*(128 - 111)/111 = 15.32%

For the second case we have:

initial population = 128

final population = 117

P = 100%*(117 - 128)/128 = -8.6%

For the last case:

initial population = 117

final population = 147

then:

P = 100%*(147 - 117)/117 = 25.64%

These are the percent changes.

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Answer:

So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,

5x+10+6x-41=90

11x-31=90

11x=31+90

11x=121

x=121/11

x=11

Answer:

1391/6 and 1505/6

Step-by-step explanation:

Let x be truck's speed and x+19 be car's speed. Since they are going opposite, we can set up an equation: 3(2x+19)=1448. x= 1391/6

Step-by-step explanation:

sin^2thita+cosec^2thita. = 1,

it have nothing to do with the given values!

Answer:

7

Step-by-step explanation:

using the identities

• (sinΘ + cosecΘ)² = sin²Θ + 2sinΘcosecΘ + cosec²Θ

• cosecΘ = \(\frac{1}{sin0}\)

then

2sinΘcosecΘ = sinΘ × \(\frac{1}{sin0}\) = 1

Hence

sin²Θ + 2sinΘcosecΘ + cosec²Θ = (sinΘ + cosecΘ)² = 3² = 9

sin²Θ + 2 + cosec²Θ = 9 ( subtract 2 from both sides )

sin²Θ + cosec²Θ = 7

In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.

In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.

We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.

How to solve?

For 8 men in a line: 8! = 40320  

In order to separate 2 women, we have to choose 5 out of 9

C(9,5) = 9! / 5!4! = 126

Random place 5 women in the 5 chosen places: 5! = 120

Total ways= 40320 * 126 * 120 = 609638400

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I think it would be ef because they are across from each other.

Answer:

lineAF, CE, EF

Step-by-step explanation:

Every line except AB, because a line don't curve.

Hope u understood.

Please mark as brainliest

Thank You

Based on the frequency distribution, the above question's response is 11. The answer is option (B).

The number of observations that fall into each category can be counted using a frequency distribution, which divides the data into intervals or categories. By displaying how frequently each category occurs, it summarises the data.

Using the \(2^k > n\) rule, where n is the total number of data points, is as follows: \(2^k > 2000\)

If we take the logarithm base 2 of both sides, we obtain:

k > log₂(2000)

k > 10.965784

Since k must be an integer, we can round up to the next integer to get:

k = 11

If we take the logarithm base 2 of both sides, we obtain:

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

the measurements must be incorrect because when you solve it, it is obvious that 6x is not a 90 degree angle and 3x is not 45 degrees.

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Ques5) x value is 20 because 3x+6x=180

=>9x=180

=> x=180/9

=> x=20

Ques6) 6x= 6*x which is equal to 6*20=120

Ques7) 3x=3*x which is equal to 3*20=60

This is correct because 120+20=180 which is a straight angle given in the question. Hope this helped, Thank you.

Answer:

5.8cm < 580mm

Step-by-step explanation:

Since 1mm=0.1cm, then 580mm=58cm which is bigger than 5.8cm, so therefore 5.8cm < 580mm

Answer: 5.8cm < 580mm

Its really easy if you think about it for a second.

The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)

In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:

Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN

Therefore, the maximum strut load is 70.87 kN.

The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.

The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.

The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.

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The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.

To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.

The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :

\((0.473)^4 = 0.049\)

Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.

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Answer:

D

Step-by-step explanation:

Hope I helped

Answer:

c

Step-by-step explanation:

The circumference should equal c = 2π × 8 cm = 50.265 cm . The area should equal A = π × (8 cm)² = 201.06 cm² . To check your results, input the 8 cm diameter in the calculator. The results should also be 50.265 cm and 201.06 cm². which is closest to c

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation: