Pls help I’m in a hurry please

Pls Help Im In A Hurry Please

Answers

Answer 1

(1) The probability of getting tails and a 3 is the probability of following the path T-3, which is 1/2 x 1/4 = 1/8.

(ii) The probability of getting heads and an even number is the probability of following the path H-2 or H-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.

(iii) The probability of not getting heads and an even number is the probability of following the paths T-2 or T-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.

Pls Help Im In A Hurry Please

Related Questions

9. Divide the following: please helppp

a.
x4 x3

b.
s3
s5

c.
z12
z10

Answers

Answer:

a. x

b. 1/s^2

c. z^2

Step-by-step explanation:

Name
Lars Torvall
Account Number
Date
15-Jan
28-Jan
3-Feb
15-Feb
15-Mar
10-Apr
15-Apr
1-May
15-May
15-Jun
15-Jul
Savings Account Statement
Beginning Date
Ending Date
Interest Earned This Period
Deposit
Interest
12-36-5000
Withdrawal
400.00
45.00
80.40
335.60
0.90
0.45
1.04
2.42
2.26
0.16
0.52
1.10
2.43
2.37
1/15/20-
7/15/20-
E
2
b.
Balance
503.27
549.17
630.02
631.06
633.48
235.74
C
d.
in $2 675

Answers

Daniel

Step-by-step explanation:

student of account

A package of 6 pairs of insulated gloves costs ​$34.14. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$5.69

Step-by-step explanation:

To find the unit price (price per pair) of the gloves, we need to divide the total cost by the number of pairs:

Unit price = Total cost / Number of pairs

In this case, the total cost is $34.14 and the number of pairs is 6, so:

Unit price = $34.14 / 6

Unit price = $5.69 (rounded to the nearest cent)

Therefore, the unit price of the pairs of insulated gloves is $5.69.

Answer

$5.69

Step-by-step explanation:

To find the unit price (price per pair) of the gloves, we need to divide the total cost by the number of pairs:
Unit price = Total cost / Number of pairs
In this case, the total cost is $34.14 and the number of pairs is 6, so:
Unit price = $34.14 / 6
Unit price = $5.69 (rounded to the nearest cent)
Therefore, the unit price of the pairs of insulated gloves is $5.69.

help me with this please hurry

Answers

The value of the system determinant is -2.

System of Equations

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. Or, applying a tool called determinant. Here, for solving this exercise you should apply the determinant since the question asks about its value. The example below shows the steps that you should do.

Example:

2x+y=10

-x-y=25

Firstly, you should identify the coefficients of the system.  The coefficients are the previous numbers before the each variable. Therefore, for the example, the coefficients are: 2, 1 ,-1 and -1.

After that, you should write these coefficients to form a matrix. See: [tex]\left[\begin{array}{ccc}2&1\\-1&-1\\\end{array}\right][/tex].

Finally, you have a matrix and you should calculate the determinant. The determinant is calculated as shown below.

[tex]|D|=\left[\begin{array}{ccc}a&b\\c&e\\\end{array}\right]\\ \\ |D|=a*e-b*c[/tex]

Now, you can get to solve the given exercise.

Identify the coefficients of the system equations.

         1,1,1,-1

Write a matrix with the coefficients of the system equations.

         [tex]\left[\begin{array}{ccc}1&1\\1&-1\\\end{array}\right][/tex]

Calculate the determinant.

       D= 1*(-1)-(1)*(1)

       D= -1-(1)

       D= -1-1=-2

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Find dy/dt at x=1 and y=x^2+3 if dx/dt=4

Answers

Using derivative of the function  dy/dt = 6.

How to find dy/dt at x = 1?

Differentiation involves finding the derivative of a function, which is a new function that describes the rate of change of the original function at each point.

Since we have x term and we are differentiating with respect to t, we need to apply the chain rule. This means we first differentiate with respect to x and then multiply by dx/dt. That is:

dy/dt = d[x² + 3]/dt

dy/dt = (2x) dx/dt

dy/dt = 2(1) + 4    (Since x=1 and dx/dt= 4)

dy/dt = 2 + 4

dy/dt = 6

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two step equations
find the value of the unknown variable in the equation

Answers

Answer:  it's T

Step-by-step explanation:

The perimeter of the rectangle shown below is 52 inches. The perimeter of the triangle shown below is 40 inches.

Answers

Answer: x = 2, y = 6

Step-by-step explanation:

For the rectangle:
x + 4y + x + 4y = 52

2x + 8y = 52

2x = 52 - 8y

x = (52 - 8y)/2

For the triangle:
3y + 3y + 2x = 40

6y + 2((52 - 8y)/2) = 40

6y + (52 - 8y) = 40

-2y = -12

y = 6

x = (52 - 8y)/2

x = (52 - 8(6))/2

x = (52 - 48)/2

x = 4/2

x = 2

MODELING REAL LIFE You ride your bicycle 40 meters. How many complete revolutions does the front wheel
make?
32.5 cm
The bicycle makes complete revolutions.

Answers

Answer:

19

Step-by-step explanation:

r = 32.5 cm

C = 2πr = 2(3.14159)(32.5 cm) = 204.20 cm

40 m = 40 m × (100 cm)/m = 4000 cm

4000 cm / 204.2 cm = 19.588

Answer: 19

Find the surface area of the prism. 9 in. 14 in. 3 in.
y'all I need help ASAP.​

Answers

Answer:

The surface area of rectangular prism is 390 in²

Step-by-step explanation:

As per given question we have provided that :

[tex]\star[/tex] Length of prism = 9 in [tex]\star[/tex] Width of prism = 3 in [tex]\star[/tex] Height of prism = 14 in

Here's the required formula to find the surface area of rectangular prism :

[tex]\star\boxed{\text{Area}=2(\text{lw}+\text{wh}+\text{lh})}[/tex]

[tex]\star[/tex] l = length[tex]\star[/tex] w = width[tex]\star[/tex] h = height

Substituting all the given values in the formula to find the surface area of rectangular prism :

[tex]\implies \text{Area}=2(\text{lw}+\text{wh}+\text{lh})[/tex]

[tex]\implies \text{Area}=2[(9\times3)+(3\times14)+(14\times9)][/tex]

[tex]\implies \text{Area}=2[(27)+(42)+(126)][/tex]

[tex]\implies \text{Area}=2[27+42+126][/tex]

[tex]\implies \text{Area}=2[69+126][/tex]

[tex]\implies \text{Area}=2[195][/tex]

[tex]\implies \text{Area}=2\times195[/tex]

[tex]\implies \text{Area}=390[/tex]

[tex]\star\boxed{\text{Area}=390 \ \text{in}^2}[/tex]

Hence, the surface area of rectangular prism is 390 in².

[tex]\rule{300}{1.5}[/tex]

compute each sum or differences
3/8 + 7/12

Answers

By finding a common denominator, we can rewrite the sum as:

3/8 + 7/12 = 9/24 + 14/24 = 23/24

How to find the sum between the two fractions?

Here we want to find the sum between two fractions that have different denominators.

To sum them, we need to find a common denominator, so we need to find a common multiple between 8 and 12.

We know that:

8*3 = 24

12*2 = 24

Then we can multiply and divide the first fraction by 3:

3/8*(3/3) = 9/24

7/12*(2/2) = 14/24

Then the sum will give:

9/24 + 14/24 = 23/24

That is the outcome.

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I need helppppppppp please help me ASAP

Answers

Answer:

b

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

here n = 5 , then

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the five interior angles and equate to 540

148 + 3x + 10 + x + 112 + 90 = 540

4x + 360 = 540 ( subtract 360 from both sides )

4x = 180 ( divide both sides by 4 )

x = 45

Then

∠ B = 3x + 10 = 3(45) + 10 = 135 + 10 = 145°

find the volume of a sphere with a circumference of 20pi

Answers

To find the volume of a sphere with a circumference of 20π, we first need to find its radius.

The formula for the circumference of a sphere is C = 2πr, where C is the circumference and r is the radius.

Therefore, we can rearrange this formula to solve for the radius:

r = C/(2π) = 20π/(2π) = 10

Now that we know the radius is 10, we can find the volume of the sphere using the formula:

V = (4/3)πr^3

Substituting r = 10 into this formula, we get:

V = (4/3)π(10)^3 = (4/3)π(1000) = 4000π/3

So, the volume of the sphere is 4000π/3, which is approximately equal to 4188.79 cubic units.

every water sample from a river has a 10% chance of containing a specified pollutant. suppose the samples are independent. a. compute the probability that 2 of the next 20 samples contain that pollutant. b. compute the probability that at least four of the next 20 samples contain the pollutant. c. compute the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant. d. compute the average number of samples (out of 20) that will contain the pollutant

Answers

The average number of samples (out of 20) that will contain the pollutant is 2.

a. Probability that 2 of the next 20 samples contain the pollutantTo calculate the probability that 2 of the next 20 samples contain the pollutant, we use the binomial distribution. We can use the formula below:P(X=k) = (nCk) pk(1-p)n-kwhere:n = 20, the number of samples; k = 2, the number of samples containing the pollutant; p = 0.10, the probability that a sample contains the pollutant; q = 1 - p = 0.90, the probability that a sample does not contain the pollutant.Using the above formula, we get:P(X=2) = (20C2) (0.10)2(0.90)18= (190) (0.01) (0.2066)≈ 0.3979Therefore, the probability that 2 of the next 20 samples contain the pollutant is approximately 0.3979.

b. Probability that at least four of the next 20 samples contain the pollutantTo calculate the probability that at least four of the next 20 samples contain the pollutant, we need to calculate the probability of P(X ≥ 4).We can use the complement of P(X < 4) and use the binomial distribution formula to calculate this. We get:P(X ≥ 4) = 1 - P(X < 4)P(X < 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3)P(X=0) = (20C0) (0.10)0(0.90)20= (1) (1) (0.1216)≈ 0.1216P(X=1) = (20C1) (0.10)1(0.90)19= (20) (0.10) (0.2296)≈ 0.4593P(X=2) = (20C2) (0.10)2(0.90)18= (190) (0.01) (0.2066)≈ 0.3979P(X=3) = (20C3) (0.10)3(0.90)17= (1140) (0.001) (0.2753)≈ 0.2059Therefore, P(X < 4) ≈ 0.1216 + 0.4593 + 0.3979 + 0.2059 ≈ 1.185P(X ≥ 4) = 1 - P(X < 4)≈ 1 - 1.185= -0.185This is not a valid probability. Therefore, we have made an error in our calculations, and the probability cannot be calculated using this method.

c. Probability that more than 2 and less than 7 of the next 20 samples contain the pollutant. To calculate the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant, we can use the binomial distribution formula again. We need to calculate P(3 ≤ X ≤ 6).We can use the formula:P(3 ≤ X ≤ 6) = P(X=3) + P(X=4) + P(X=5) + P(X=6)P(X=3) = (20C3) (0.10)3(0.90)17= (1140) (0.001) (0.2753)≈ 0.2059P(X=4) = (20C4) (0.10)4(0.90)16= (4845) (0.0001) (0.3112)≈ 0.1516P(X=5) = (20C5) (0.10)5(0.90)15= (15504) (0.00001) (0.3544)≈ 0.0583P(X=6) = (20C6) (0.10)6(0.90)14= (38760) (0.000001) (0.3919)≈ 0.0121Therefore,P(3 ≤ X ≤ 6) ≈ 0.2059 + 0.1516 + 0.0583 + 0.0121 ≈ 0.4279Therefore, the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant is approximately 0.4279.

d. Average number of samples (out of 20) that will contain the pollutantThe expected value or average number of samples that will contain the pollutant can be calculated using the following formula:E(X) = npwhere:n = 20, the number of samples; p = 0.10, the probability that a sample contains the pollutant.Using the above formula,E(X) = np= 20 (0.10)= 2.

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The federal deposit insurance corporation is an insurance agency supported by the nations government for up to what amount does the FDIC typically ensure a personal account in a commercial bank 

Answers

Answer:

Step-by-step explanation:

$250,000 per depositor per insured bank *fire emoji*

The centre of a circle is at point(0,0) and passes through (6,3). Work out the equation of the tangent to the circle at this point. Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.​

Answers

Answer:

[tex]y = -2x + 15[/tex]

Step-by-step explanation:

center of the circle C is at (0, 0).

let P be the point (6, 3),

There is a property of a circle,

line drawn from center of a circle to a point P (x, y) is perpendicular to the tangent at P.

see the attached figure

so basically we have to find the equation of line perpendicular to the line passing through (6, 3).

slope of line CP = 1/2

therefore the slope of perpendicular line = -2 (tangent at P)

It passes through (6, 3) (the point of tangency),

using the equation,

[tex]y_2 - y_1 = m(x_2 - x_1)[/tex]

[tex]y - 3 = -2(x - 6)[/tex]

[tex]y = -2x + 15[/tex]

Hopefully, this answer will help you!

at the mp donut hole factory, niraek, theo, and akshaj are coating spherical donut holes in powdered sugar. niraek's donut holes have radius $6$ mm, theo's donut holes have radius $8$ mm, and akshaj's donut holes have radius $10$ mm. all three workers coat the surface of the donut holes at the same rate and start at the same time. assuming that the powdered sugar coating has negligible thickness and is distributed equally on all donut holes, how many donut holes will niraek have covered by the first time all three workers finish their current donut hole at the same time?

Answers

Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.

The time it takes to coat a donut hole is directly proportional to the surface area of the donut hole.

The surface area of a sphere is given by the formula:

Surface Area = 4πr²

Here, r is the radius of the sphere.

Comparing the surface areas of the donut holes:

Niraek's donut hole: Surface Area = 4π(6²)

Theo's donut hole: Surface Area = 4π(8²)

Akshaj's donut hole: Surface Area = 4π(10²)

Now, let's find the LCM of the surface areas to determine the time it takes for all workers to finish:

LCM(144π, 256π, 400π) = 57600π mm²

This means that it will take the same amount of time for all three workers to finish their current donut holes when they have covered a total surface area of 57600π mm².

Number of donut holes = (Total surface area) / (Surface area of Niraek's donut hole)

= (57600π mm²) / (144π mm²)

= 57600 / 144

= 400

Therefore, Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.

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a subset of the integers 1, 2, . . . , 100 has the property that none of its members is 5 times another. what is the largest number of members such a subset can have

Answers

The largest number of members such a subset can have is 60.

Let's consider the numbers in the subset that are multiples of 5. If we have one of these multiples in the subset, then we cannot have any other multiple of that number in the subset, otherwise, one of them would be 5 times another.

So we can choose at most one number from each set of multiples of 5: either 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100.

This gives us a maximum of 20 numbers that we can choose from these sets.

Now we consider the remaining numbers from 1 to 100 that are not multiples of 5. Each of these numbers can be expressed as a product of a power of 2 and an odd number. For example, 33 = 2^0 x 33, 72 = 2^3 x 9.

If we choose any number that has a power of 2 greater than or equal to 3, then we cannot choose any other number that has the same odd factor, otherwise, one of them would be 5 times another. This is because any number with a power of 2 greater than or equal to 3 is a multiple of 8, and any multiple of 8 has a factor of 5.

So we can choose at most two numbers from each set of numbers that have the same odd factor: either 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, or 99.

This gives us a maximum of 2 x 20 = 40 numbers that we can choose from these sets.

Therefore, the largest number of members such a subset can have is 20 + 40 = 60.

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a 2 digit number with y ones and 3 ones more than ten

Answers

The two-digit number with a ones digit that is 3 more than its tens digit is 58.

What number does the description fit?

We know that a number is a two-digit number and the sum of its two digits is 13. Based on this, some possible numbers that fit this description are:

7 + 6 = 136 + 7 = 138 + 5 = 135 + 8 = 139 + 4 = 134+ 9 = 13

Moreover, we know that the ones digit is 3 more than the tens digit. Based on this principle, the number that fits the description is 58.

5 (3 more than 8 ) + 8 = 13

Note: This question is incomplete; here is the complete question:

I am 2 digit number. My ones digit is 3 more than my tens and the sum of my digit is 13. Who am I?

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Someone Please Solve For x

Answers

The numerical value of x is 23.

What is the numerical valie of x?

Vertical angles are simply angles that are opposite of each other when two straight lines crosses.

They are congruent, hence, they have the same angle measure.

From the diagram:

Angle A = ( 6x - 100 )°Angle B = ( x + 15 )°

Since the angles that are opposite of each other, they are vertical angles, meaning they are congruent.

Hence:

Angle A = Angle B

( 6x - 100 ) = ( x + 15 )

Solve for x

6x - x = 15 + 100

5x = 115

x = 115/5

x = 23

Therefore, x has a value of 23.

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What is the equivalent fraction of two ones and two hundredths

Answers

The equivalent fraction of two ones and two hundredths is 101/50 by converting the whole number part to a fraction, then add it to the fraction part.

Two ones and two hundredths can be represented as a mixed number, which is [tex]2 \frac{2}{100}[/tex].

To convert this mixed number to an equivalent fraction, we need to first convert the whole number part to a fraction by multiplying it by the denominator of the fraction part, and then adding the numerator of the fraction part. So, we have:

2 + 2/100 = (2 * 100 + 2) / 100 = 202/100

Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

202/100 = (2 * 101) / (2 * 50) = 101/50

Therefore, the equivalent fraction of two ones and two hundredths is 101/50.

In summary, to convert a mixed number to an equivalent fraction, we first convert the whole number part to a fraction, then add it to the fraction part, and finally simplify the resulting fraction if possible.

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A company earned a profit of $8.0 million each year for 3 consecutive years. For each of the next 2 years the company earned a profit of $9.0 million. For this 5-year period, what was the company's average yearly profit, in millions of dollars? F. 8.2 G. 8.25. H. 8.4, J. 8.5 K. 8.6​

Answers

Answer:

8.4

Step-by-step explanation:

8+8+8+9+9/5=

42/5=

=8.4

The company's average yearly profit, in millions of dollars, was $8.4 million.

The total profit earned by the company in the first 3 years is $8.0 million x 3 = $24.0 million.

In the following two years, the business will make a total profit of $9.0 million multiplied by two, or $18.0 million.

Therefore, the total profit earned by the company in the 5-year period is $24.0 million + $18.0 million = $42.0 million.

To find the average yearly profit, we divide the total profit by the number of years: $42.0 million / 5 = $8.4 million.

Therefore, the company's average yearly profit, in millions of dollars, was $8.4 million. The answer is (H) 8.4.

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d) Now let’s look at the annual premium. Let’s find the annual premium that would be deducted from your paycheck. You are paying 30% of your premium. • AAA+ Annual Deduction = 30% of premium = Weekly Deduction = your annual/52 = • Health Today Annual Deduction = Weekly Deduction = • Best Insurance Annual Deduction = Weekly Deduction =

Answers

Keep in mind that the numbers used in the example are arbitrary, and you will need to use the actual premium amounts to calculate the deductions

Hi! To find the annual premium deductions and weekly deductions for each insurance plan, follow these steps:

1. Calculate the annual deduction for each plan by multiplying the total annual premium by 30% (your contribution).
2. Calculate the weekly deduction by dividing the annual deduction by 52 (number of weeks in a year).

For example, if AAA+ annual premium is $1,000, Health Today annual premium is $1,200, and Best Insurance annual premium is $800:

AAA+ Annual Deduction = 30% of $1,000 = $300
Weekly Deduction = $300/52 ≈ $5.77

Health Today Annual Deduction = 30% of $1,200 = $360
Weekly Deduction = $360/52 ≈ $6.92

Best Insurance Annual Deduction = 30% of $800 = $240
Weekly Deduction = $240/52 ≈ $4.62

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To conserve energy a factory cut its use of electricity from 12,000 kilowatt-hours per month to 7000 kilowatt-hours per month. What was the percent decrease?​

Answers

Answer:

To find the percentage decrease, we need to calculate the difference between the initial and final values, divide that by the initial value, and then multiply by 100.

The initial use of electricity was 12,000 kilowatt-hours per month, and the final use was 7,000 kilowatt-hours per month. The difference is:

12,000 - 7,000 = 5,000

To find the percentage decrease, we divide the difference by the initial value:

5,000 / 12,000 = 0.4167

Finally, we multiply by 100 to get the percentage:

0.4167 * 100 = 41.67%

Therefore, the percentage decrease in electricity usage is 41.67%.

Select the correct answer.


The domain of function f is (, 6) U (6, ). The value of the function approaches as x approaches , and the value of the function approaches as x approaches. Which function could be function f?


A.


B.


C.


D

Answers

The possible function f(x) is C. [tex]f(x) = (x + 6)/(x - 6)[/tex] because C   satisfy the limit conditions as well.

To determine which function could be function f, we need to check if it satisfies the given domain and limit conditions.

First, let's check the domain.

Option A: The function is undefined at x = 6, but is defined for all other values of x. Therefore, the domain of f is (-∞, 6) U (6, ∞), as required.

Option B: The function is undefined at x = ±6, but is defined for all other values of x. Therefore, the domain of f is (-∞, -6) U (-6, 6) U (6, ∞), which is not the required domain.

Option C: The function is undefined at x = 6, but is defined for all other values of x. Therefore, the domain of f is (-∞, 6) U (6, ∞), as required.

Option D: The function is undefined at x = -6, but is defined for all other values of x. Therefore, the domain of f is (-∞, -6) U (-6, 6) U (6, ∞), which is not the required domain.

Therefore, options A and C are the only ones that satisfy the domain condition. Now let's check the limit conditions.

Option A:

[tex]\lim_{x \to -\infty} [(x^2 -36)/(x - 6)] = \lim_{x \to -\infty} [(x+6)(x-6)/(x-6)] \\= \lim_{x \to -\infty} [x+6] = -\infty[/tex]

[tex]\lim_{x \to \infty} [(x^2 -36)/(x - 6)] = \lim_{x \to \infty} [(x+6)(x-6)/(x-6)] \\= \lim_{x \to \infty} [x+6] = \infty[/tex]

Option C:

[tex]\lim_{x \to -\infty} [(x+6)/(x - 6)] = \lim_{x \to -\infty} [x/x] = -\infty[/tex]

[tex]\lim_{x \to \infty} [(x+6)/(x - 6)] = \lim_{x \to \infty} [x/x] = \infty[/tex]

Therefore, both options A and C satisfy the limit conditions as well.

Therefore, the possible function f is either A or C.

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The complete question is :

The domain of function f is (-∞, 6) U (6, ∞). The value of the function -∞ approaches as x approaches -∞ , and the value of the function approaches ∞ as x approaches ∞ . Which function could be function f?

A. [tex]f(x) = (x^2 -36)/(x - 6)[/tex]

B.[tex]f(x) = (x -6)/(x^2 - 36)[/tex]

C. [tex]f(x) = (x + 6)/(x - 6)[/tex]

D. [tex]f(x) = (x - 6)/(x + 6)[/tex]

In ΔKLM, m = 5.2 cm, k = 8.3 cm and ∠L=162°. Find ∠M, to the nearest 10th of a degree.

Answers

The measure of angle M in triangle KLM is approximately 47.3 degrees, to the nearest 10th of a degree.

Solving for nearest 10th of degree:

To find the measure of angle M in triangle KLM, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. The Law of Cosines states that:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c: length of the side opposite angle C, and a & b are the lengths of the other two sides.

In this case, we wish to find the measure of angle M, which will be opposite the side of length m. We are aware that the lengths of the other two sides, k and l, and measure of angle L. To find l, we use the Law of Cosines:

[tex]l^2 = k^2 + m^2 - 2km cos(L)[/tex]

Substituting:

[tex]l^2 = 8.3^2 + 5.2^2 - 2(8.3)(5.2) cos(162 degree)[/tex]

Solve for the l, we get:

l = 10.038 cm

We will use Law of Cosines again to find the measure of angle M:

cos(M) = [tex](k^2 + l^2 - m^2) / (2kl)[/tex]

Substituting:

cos(M) = [tex]([/tex][tex]8.3^2 + 10.038^2 - 5.2^2)[/tex] [tex]/ (2(8.3)(10.038))[/tex]

Simplifying:

cos(M) = 0.665

To get the measure of angle M, we take the inverse cosine:

M = 47.3°

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Use the information below to answer the question Diego rode his bicycle 12.6 miles in 1.5 hours. If Diego rides at the same average rate how many miles will he ride in 2.5 hours?

A.15.1
B.16.8
C.21.10
D.25.2​

Answers

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

what is unitary method ?

Mathematicians use the unitary technique to address proportional relationship issues involving two or more quantities. To answer problems involving rates, ratios, and proportions, it is frequently employed in academics and everyday life. With the unitary technique, the value with one unit is first determined, and the value of the desired amount of units is then determined using this value. The unitary technique can be used, for instance, to determine the price of 1 pen if the price of 4 pens is $8. Cost of 1 pen equals the sum of the costs of 4 other pens. One pen costs $8 plus $4. One pen costs $2.

given

Diego will cover 2.5 miles in that time, according to the following formula:

Rate times distance

Diego's bicycle travels at an average speed of:

Rate: Distance x Time

Hence, we may determine his rate as:

12.6 miles divided by 1.5 hours equals 8.4 miles per hour.

Now that we know this rate, we can calculate how far Diego will travel in 2.5 hours:

8.4 miles per hour divided by 2.5 hours equals 21 miles in the formula for distance.

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

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Robert gets a loan from his bank. He agrees to borrow £6 000 at a fixed annual simple interest rate of 7%. He also agrees to pay the loan back over a 10-year period. How much money in total will he have paid back at the end of the 10 years?​

Answers

Given:

Robert gets a loan from his bank he agrees to borrow £6000 at a fixed annual simple interest rate of 7% he also agrees to pay the money back over a 10 year period.

To Find:

How much money in total will he have paid back at the end of the 10 years?

Solution:

We know that,

[tex]\text{Simple interest}=\dfrac{\text{P}\times\text{R}\times\text{T}}{100}[/tex]

Here, we have

[tex]\text{Principle}=\£6000[/tex]

[tex]\text{Rate}=7\%[/tex]

[tex]\text{Time}=10\ \text{years}[/tex]

Substituting these values, we get

[tex]\text{SI} = \dfrac{6000\times7\times10}{100}[/tex]

  [tex]= \dfrac{420000}{100}[/tex]

  [tex]= 4200[/tex]

[tex]\text{Amount = Principal + Simple Interest}[/tex]

              [tex]= 6000 + 4200[/tex]

              [tex]= \£10200[/tex]

Hence, Robert would have paid back £10200 at the end of the 10 years.

By formula:-

SI= PTR/100

A=I+P

How do you do these step by step thank uu

Answers

Answer:

y = x + 3

Step-by-step explanation:

The question is y is 3 more than x.

We know that "more" means addition.

and since y is the greater number here, the answer would be y = x + 3!

Simple!

:)

a correlation coefficient of -1.0 indicates that there is no relationship between two variables. true false

Answers

Answer:

False. A correlation coefficient of -1 indicates a perfect negative correlation between two variables.

The amounts that two plumbers charge for their services are described.

The first plumber charges a fixed fee of $40 for house calls and $15 per hour of work.
The second plumber charges a fixed fee of $30 for house calls and $19 per hour of work.

For what number of hours of work do the first plumber and the second
plumber charge the same total amount?

PLEASE HELP ASAP!!!!!

Answers

Answer:

Step-by-step explanation: 160$

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