What is the slope of the line perpendicular to the line y = 3x+1

Answer:

[tex]P=\$40840[/tex]

Step-by-step explanation:[tex]I=840[/tex]

From the question we are told that:

Time interval [tex]t=50-40=>10years[/tex]

Annual contribution [tex]X= 4*1000=>\$4000[/tex]

Annual interest rate [tex]r=2.1\%[/tex]

Generally the 10 years interest I is mathematically given by

[tex]I=X*t*r[/tex]

[tex]I=4000*0.021*10[/tex]

[tex]I=840[/tex]

Generally the equation for  the future value of the investment [tex]P[/tex]  is mathematically given by

 [tex]P=X*t+840[/tex]

 [tex]P=(4000*10)+840[/tex]

 [tex]P=\$40840[/tex]

Answer: 1:1

Step-by-step explanation:

   We will write a ratio of ponies to goats;

ponies : goats

3 : 3

   Next, 3:3 can be simplified to 1:1. This gives us our fully reduced ratio.

The mean is lower than the mode which is lower than the median.

A skewed curve is a type of statistical distribution in which the data is unevenly distributed. It is often referred to as an asymmetric distribution, meaning that the two halves of the curve look different. Skewed curves can be either positively or negatively skewed, depending on which direction the data points are shifted. Positively skewed curves tend to have a long tail to the right, while negatively skewed curves have a long tail to the left. This type of distribution is commonly seen in real-world data, such as income or wealth distributions.

A negatively skewed curve is characterized by a tail on the negative side of the graph. This means that the data points have a higher probability of being lower than the mean. As such, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic average of all of the data points, the mode is the most frequent value, and the median is the midpoint of the data points.

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The value of r is 105 in this equation.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

In the quadratic formula, √r =[tex]\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6.

So √r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Hence, the value of r is 105 in this equation.

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We convert 10 pounds to Dollars and get 12.2 United states Dollars.

Exchange rate is the rate at which one currency can be exchanged to another currency. The rate represents the relative value of one currency against the currency from another country. Currency conversion means convert one currency to another at an exchange rate.

We can convert pound to dollar by using currency exchange rate determined by the world market. The exchange rate is vary depending on the current situation of two country in which currency is converted between. The rate may be differed from one day to another.

1 pound sterling = 1.22 United States Dollar

10-pound sterling = 12.2 US Dollars

1 pound sterling = 1.76 Australian Dollar

10-pound sterling = 17.6 Australian Dollars

1 pound sterling = 1.64 Canadian Dollar

10-pound sterling = 16.4 Canadian Dollars

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Answer:

167 feet

Step-by-step explanation:

Please see the attached image.

(90-42)°=48°

The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.

tan(48°)=x/150

x=tan(48°)*150

x≈167

Answer: 167 feet

The three combinations of pennies and quarters are:

A. 1,560 Pennies and 124 Quarters

B. 2,600 Pennies and 49 Quarters

C. 3,120 Pennies and 24 Quarters

The total value of the pennies and quarters is $62.00. This can be achieved with either 1,560 pennies and 124 quarters (1,560 x 0.01 + 124 x 0.25 = 62.00), 2,600 pennies and 49 quarters (2,600 x 0.01 + 49 x 0.25 = 62.00) or 3,120 pennies and 24 quarters (3,120 x 0.01 + 24 x 0.25 = 62.00).

To find the combinations of pennies and quarters that are worth $62.00, begin by finding the number of pennies that equal $

62.00. 62.00/0.01 = 6,200 pennies.

Next, subtract the value of the pennies from the total to find the value of the quarters.

62.00 - (6,200 x 0.01) = 24.00.

Divide the value of the quarters by 0.25 to find the number of quarters. 24.00/0.25 = 96 quarters.

To arrive at the three combinations

, 1,560 pennies and 124 quarters

(1,560 + 96 = 1,656, 1,656 x 0.01 + 124 x 0.25 = 62.00),

2,600 pennies and 49 quarters

(2,600 + 49 = 2,649, 2,649 x 0.01 + 49 x 0.25 = 62.00)

and

3,120 pennies and 24 quarters

(3,120 + 24 = 3,144, 3,144 x 0.01 + 24 x 0.25 = 62.00).

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Answer:

70 inches

Step-by-step explanation:

From the diagram attached,

Assuming the width, lenght and diagonal of the rectangle forms a right angle triangle.

Applying pythagoras theorem,

a² = b²+c²................... Equation 1

Where a = diagonal =  25 inches, b = width = 3x inches, c = length = 4x inches

Substitute these values into equation 1 and solve for x

25² = (4x)²+(3x)²

625 = 14x²+9x²

625 = 25x²

25x² = 625

x² = 625/25

x² = 25

x = √25

x = 5 inches.

Therefore,

Width(w) = 3×5 = 15 inches

Length(l) = 4×5 = 20 inches

Perimeter (P) = 2(l+b)

P = 2(15+20)

P = 2(35)

P = 70 inches

Hence the perimeter of the frame is 70 inches

As per the given equation the height of the cliff is 196.225 feet.

We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as [tex]d = kt^2[/tex] for some constant of proportionality k.

We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:

[tex]144.9 = k(3^2)[/tex]

k = 16.1

Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:

[tex]d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225[/tex]

So, the height of the cliff is 196.225 feet.

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Answer:

40%

Step-by-step explanation:

1 and 3/5 as a fraction is 8/5 which as a percent is 160%.

25% of 16 is 4

160%/4 = 40%

The probability of picking a yellow sweet tart three times in a row is 0

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here, There are  4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. P(yellow ball three times in a row) = 2/12 ×1/11 ×0/10

                                                                             = 0

Hence, The probability of picking a yellow sweet tart three times in a row is 0

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The unit price of the portion of the chicken will be $0.50.

To find the portion cost of the chicken, we need to know how much it costs per ounce, and then multiply that by the number of ounces in a serving.

We can begin by calculating the cost per ounce of chicken by dividing the cost per pound by the number of ounces in a pound:

$2 (cost per pound) ÷ 16 (ounces per pound) = $0.125 (cost per ounce)

Now that we know the cost per ounce, we can find the portion cost of the chicken by multiplying it by the number of ounces in a serving:

$0.125 (cost per ounce) × 4 (ounces per serving) = $0.50

So the portion cost of the chicken is $0.50 . So the answer is

C. $0.50.

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The complete question is-

The cost per pound of chicken is $2. Each serving of chicken is about 4 oz. What will be the portion cost of the chicken?

A. $0.75

B. $2

C. $0.50

D. $0.60

E. $1

Answer:

$28

Step-by-step explanation:

175%*16.00 = 175/100 * 16.00

Put it int he calculator to get 28 dollars

Answer:

Step-by-step explanation:

In addition and subtraction, the identity is 0. In multiplication and division, the identity is 1. That means that if 0 is added to or subtracted from n, then n remains the same. Also, if n is multiplied or divided by 1, then n remains the same  

ORRRRRRRRR

Five Properties of Addition

Closure property of Addition.

Commutative property of Addition.

Associative property of Addition.

Additive identity property of Addition.

Additive inverse property of Addition.

Answer:

x = - 7

Step-by-step explanation:

given that the 3 angles in the triangle are congruent, then the triangle is equilateral with the 3 sides congruent , then

x + 16 = 9 ( subtract 16 from both sides )

x = - 7

Answer:

x=-7

Step-by-step explanation:

The triangles sides are all the same in length, therefore, you need all the sides to be equal to 9.

-12+16=4   This addition problem does not equal to 9 so it is not correct.

-7+16=9     This is correct because -7+16 or 16-7 = 9.

-9+16=7    This addition problem does not equal to 9 so it is not correct.

-11+16=5    This addition problem does not equal to 9 so it is not correct.

So, x = -7.

The distance between points L and K is 4 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Given, Are two points L and K.

The coordinate points of L(- 2, 6) and K(- 2, 2).

Therefore, The distance between points L and K is,

[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].

[tex]|LK| = \sqrt{16}[/tex].

[tex]|LK| = 4[/tex].

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Answer:

d

Step-by-step explanation:

Answer:

answer is option A

Step-by-step explanation:

2x+6≤10or2x+8>20

2x≤10-6 or 2x>12

x≤4/2 or x>2/12

x≤2 or x>6

Answer:

Parallelograms have two symmetries but this kite had only one symmetry  

Define symmetry-The symmetry that a figure has if it can be divided by a line into two parts that are mirror images.

Observe my example why its not a parallelogram...

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Much would be appreciated <3

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples [tex]x < 20[/tex]

[tex]= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\[/tex]

P-value from Z-Table:

[tex]P(x < 20) = 0.042341[/tex]

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The Dual of Boolean Expression is defined as an expression that is obtained by interchanging the addition and multiplication and interchanging the 0's and 1's .

What is a Boolean Expression ?

The Boolean Expression is defined as an logical statement which results in the Boolean value which can either be True or False.

Sometimes, the synonyms is used to express statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. and also, 1 and 0 are used for digital circuits for True , False .

If in the Boolean expression , the addition and multiplication are interchanged and the binary 0 and 1 are also interchanged then the resulting expression will be called as a Dual Of Boolean Expression .

The given question is incomplete , the complete question is

What is Dual Boolean Expression ?

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The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

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Answer:

the answer is 64 dollars or pounds or whichever currency

Answer:

The bord game is 64$.

Step-by-step explanation:

80/10=8

8*(8-2)=

64$

Answer:

5.9 radian

Step-by-step explanation:

Applying,

S = 2πrФ/360°................. Equation 1

Where s = length of the arc, r = radius, Ф = angle.

make Ф the subject of the equation

Ф = 360S/(2πr)........... Equation 2

From the question,

Given: S = 30.3, r = 5.1

Constant: π = 3.14

Substitute into equation 2

Ф = (360×30.3)/(2×5.1×3.14)

Ф = 340.58°

Ф = (340.58×2×3.14)/360

Ф = 5.9 radian

Answer:

THE FIRST ONE

Step-by-step explanation:

9.6 quarts

First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer

Answer:

ocean crust is thinner

Step-by-step explanation:

Answer:

Oceanic crust is thinner  

hope this helped

Step-by-step explanation:

The probability that the annual cost will be 5 of the mean is 0.0912.

A method used by risk managers to predict upcoming events, like accidental and commercial losses. In order to determine a probability distribution that can be applied to forecast future losses, this procedure involves reviewing historical loss data.

X = Annual cost of medical care for dogs.

X~ Normal (μ = 200, σ = 60)

Sample size n = 16

We know that the sample mean Xbar has a normal distribution with mean = μ and sd = σ/√n

Xbar ~ Normal (μ’ = 200, σ’ = 60/√16 = 15)

Required probability -

P[Average cost of medical care for 16 sampled dogs is > 220]

= P[Xbar > 220]

= P[(Xbar-μ’)/σ’ > (220-200)/15]

= P[Z > 1.3333], Z is a standard normal variable.

= 1 - P[Z < 1.3333]

= 1 - 0.9087, from standard normal table.

= 0.0912

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The complete question is:

A veterinary association claims that the annual cost of medical care for dogs averages $200 with a standard deviation of $60, and for cats averages $240 with a standard deviation of $70. Assume the costs follow a normal distribution. What is the probability the average annual cost of medical care for 16 randomly chosen dogs is greater than $220.

The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The table is given in the question as follows:

x          y

0         -2

1         -3

2         0

3         3

4         6

5         9

We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5

As per the given table, the required AROC would be as:

⇒ (9 - 3)/(5-3)

⇒ 6/2

Apply the division operation, and we get

⇒ 3

Hence, the correct answer would be option (A).

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Answer:

48cm^2

Step-by-step explanation:

Rectangle=LxW

Triangle=bh/2

Rectangle: 10x4=40cm^2

Triangle: 4x4=16/2=8cm^2

40+8=48cm^2

Hope this helps :)