In triangle abc, point d is on side ac, ab=bd=dc=12 inches, and measurement of angle bdc= 2 times the measurement of angle abd. find ac

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Answer:

The surface area of given sphere is \(2304 \pi\)

Step-by-step explanation:

Radius of sphere = 24 unit

We are supposed to find surface area of a sphere

Surface area of sphere =\(4 \pi r^2\)

Surface area of given sphere = \(4 \pi (24)^2\)

We are asked to leave the answer in pi

Surface area of given sphere = \(2304 \pi\)

Hence The surface area of given sphere is \(2304 \pi\)

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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Answer:

I believe that it is the first one.

I hope this helps!

Answer: the awnser is 0 jk its not

Step-by-step explanation:

i just want point repete dkmkmkrfnjrjnnfrfr

Answer:

Yes, it can make a right triangle.

Step-by-step explanation:

We can use the Pythagorean Theorem to determine if the sides make a right triangle.

\(a^2+b^2=c^2\)

We are given the side lengths: 5cm, 13cm, and 12 cm.

13cm is the longest, so it would be 'c'.

5cm and 12cm will be 'a' and 'b'.

Let 5 be 'a', 12 be 'b', and 13 be 'c':

\(5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}\)

5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.

is the sign that you mean ÷ ?

if so:

-3×7÷5×1/7

= -21÷5×1/7

=-21/5 × 1/7

= (-21×1) / (5×7)

= -21/35

=-3/5

=-0.6

For the graphed function we have:

Remember that for a function y = f(x) we define the domain as the set of the inputs (the ones in the horizontal axis) and the range as the set of the outputs (the ones in the vertical axis).

By looking at the horizontal axis, we can see that the graph extends (and keeps extending, this is why we have arrows) in both directions, so the domain is the set of all the real numbers.

While the range has a maximum, which is -2, then the range is:

R = (-∞, -2]

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Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:

E 1 inch

A proportion is a fraction of a total amount.

In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:

6 x 1.25 = 7.5 inches

Then the height of the icing between the layers is of:

13.5 - 7.5 = 6 inches

Six layers, hence each icing is of:

6/6 = 1 inch

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Answer:Slope=-240.000/2.000=-120.000

Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    120*x+y-(1200)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   120x+y-1200  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

x = 90°

2x = 180°

Step-by-step explanation:

angle VTS= angle TSR (alternate angle)

now in ∆TRS,

2x + x + x = 360° (angle sum property of ∆)

4x = 360°

x = 90°

The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50%  the data.

In order o find  range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning  the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate  the raw scores that concerning  the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.

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The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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To calculate the income Alice will receive in her first year of retirement, we need to consider her pension fund, the state pension, and the annuity rates.

Given: Alice's salary: £55,000

Her contributions to the pension scheme: 8% of salary

Employer contributions and tax relief: 4% of salary

Retirement age: 66

State pension: £9,000 per year

First, let's calculate Alice's pension fund. She has been in the scheme from age 35 to 66, which is a total of 31 years. During this period, she has made contributions of 8% of her salary, topped up by 4% from the employer and tax relief. So, her annual contributions are (8% + 4%) of £55,000 = £5,500.

Her total pension fund would be £5,500 x 31 = £170,500.

Next, let's consider the annuity rates. Annuity rates determine the income that can be purchased with the pension fund. The rates vary based on factors such as age, gender, and prevailing market conditions.

Using the annuity rates, Alice can calculate the income she will receive from her pension fund. Let's assume the annuity rate is 5% per year. So, the income from her pension fund would be £170,500 x 5% = £8,525.

Finally, we add the state pension to calculate Alice's total income in her first year of retirement:

Total income = Pension fund income + State pension

Total income = £8,525 + £9,000 = £17,525.

Therefore, Alice will receive £17,525 as her income in the first year of retirement.

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Step-by-step explanation:

the slope of a line is always the factor of x in the equation. in our case here : 5/8.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -8/5.

Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

Answer:

y = -2x + 11

Step-by-step explanation:

If you already have the slope, all you need to do is find the y-intercept.

y = -2x + b

1 = -2(5) + b

1 = -10 + b

11 = b

The equation is y = -2x + 11

Answer:

3/10

Step-by-step explanation:

mom = 35 when girl is born

girl = 0 when born

after 15 year

mom = 35 + 15 = 50

girl = 0 + 15 = 15

fraction = girl / mom = 15/50 = 3/10

Answer:

3/10 or 30%

Step-by-step explanation:

So the mom was 35 when she had her kid. When the kid is 15, that would make the mom 50 (35+15).

Then just divide! The term "fraction" is just a confusing term that most of the time means to divide.

15/50 is 3/10. If you want it as a percentage, then multiply the whole thing by 10/10, which gives you 30/100, or 30% of her mom's age. Hope this helped!

Answer: two angles have the same measure if only and only if they are congruent

explanation:

A true biconditional statement is true both "forward" and backward". All definitions can be written as true biconditional statements.

Answer:

13/20 of a mile

Step-by-step explanation:

2/5 x 4 = 8/20

1/4 x 5 = 5/20

8/20 + 5/20 = 13/20

Let's begin by listing out the given information:

scale factor = 4.99

This means that the shape was enlarged by 4.99 to obtain a new shape

The formula for the area of a cylinder is given by:

Area factor = 24.90 (2 decimal places)

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

we have

1 cubic meter = 1000 L

x cubic meter = 415 L

then:

The volume of a cube with length x is:

answer: The smallest possible inside length of the tank is 0.746 m

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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Answer:

1) The multiplicative inverse of \(8\) is \(\frac{1}{8}\).

2) The multiplicative inverse of \(8\cdot h - 40\) is \(\frac{1}{8\cdot h - 40}\).

Step-by-step explanation:

Mathematically, let \(w\) and \(v\) real numbers. \(w\) is the multiplicative inverse if and only if \(v\cdot w = 1\). Now we proceed to determine the multiplicative inverse of each number:

1) \(v = 8\)

(i) \(v\cdot w = 1\) Definition of multiplicative inverse

(ii) \(v = 8\) Given

(iii) \(8\cdot w = 1\) (ii) in (i)

(iv) \(w\cdot (8\cdot 8^{-1}) = 8^{-1}\cdot 1\) Compatibility with multiplication/Associative and commutative properties

(v) \(w = 8^{-1}\) Existence of multiplicative inverse/Modulative property

(vi) \(w = \frac{1}{8}\) Definition of division/Result

The multiplicative inverse of \(8\) is \(\frac{1}{8}\).

2) \(v = 8\cdot h - 40\)

(i) \(v\cdot w = 1\) Definition of multiplicative inverse

(ii) \(v = 8\cdot h - 40\) Given

(iii) \((8\cdot h - 40)\cdot w = 1\) (ii) in (i)

(iv) \(w\cdot [(8\cdot h - 40)\cdot (8\cdot h-40)^{-1}] = (8\cdot h - 40)^{-1}\cdot 1\) Compatibility with multiplication/Associative and commutative properties

(v) \(w = (8\cdot h-40)^{-1}\) Existence of multiplicative inverse/Modulative property

(vi) \(w = \frac{1}{8\cdot h-40}\) Definition of division/Result

The multiplicative inverse of \(8\cdot h - 40\) is \(\frac{1}{8\cdot h - 40}\).

Answer:

y = 3x/2 + 6

Step-by-step explanation:

Find the equation of the line perpendicular to the line 2x + 3y = 5 passing through the point (−2,3).

The equation of the line in the slope-intercept form is y = 5/3 − 2x/3.

The slope of the perpendicular line is negative inverse: m = 3/2.

So, the equation of the perpendicular line is y = 3x/2 + a.

To find a, we use the fact that the line should pass through the given point:

3 = (3/2) ⋅ (−2) + a.

Thus, a = 6.

Therefore, the equation of the line is y = 3x/2 + 6.

Answer: y = 3x/2 + 6

Answer:

because if you divide or multiply it makes that negative or multiple sign bigger so it would flip

Step-by-step explanation:

:)

Answer:

  x = 9

Step-by-step explanation:

You want the value of x that satisfies 6/40 = x/60.

This equation can be solved in one step: multiply by the inverse of the coefficient of x.

The coefficient of x is 1/60. Its inverse is 60/1 = 60. Multiplying the equation by 60 gives ...

  60(6/40) = 60(x/60)

  360/40 = x

  9 = x

__

Additional comment

Often, you will be advised to "cross multiply" as the first step in solving a proportion. Doing this would give you ...

  6(60) = 40(x)

Now, you would need to divide by the coefficient of x (or multiply by its inverse).

  6(60)/40 = (40x)/40

  360/40 = x = 9

This accomplishes in two steps what we did above in one step.