Proof practice for geometry!
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Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Answer:

the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

Step-by-step explanation:

Given that:

the population of this area P was 918,100

and the population was increasing at roughly 9300 people per year i.e DP/DT = 9300

The average annual income I was $29,001 per capita

and this average was increasing at about $1400 per year

i.e DI/DT = 1400

Using the Produle rule;

the rate at which total personal income was rising in the area in 1999 can be calculate as:

DC/DT = P(DI/DT)+I(DP/DT)

DC/DT = 918100(1400)+29001(9300)

DC/DT = 1.28534×10⁹ + 269709300

DC/DT = 1.5550493×10⁹

Thus; the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

Answer: Substraction property

Step-by-step explanation:

-94=12n+2

12n+2=-94

12n+2-2=-94-2

12n=-96

\(\frac{12n}{12}=\frac{-96}{12}\)

n=-8

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

21 meters and 29 meters

Step-by-step explanation:

x + (x + 8) = 50

2x + 8 = 50

2xc = 42

x = 21

x + 8 = 29

Corresponding angles are angles on the same side of the line and same location of another line.

From the figure, angle 3 and angle 8 are corresponding angles.

The answer is angle 8

Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.

Answer:

a

Step-by-step explanation:

The formula to calculate simple interest is:

I = P * r * t

Where:

I = Interest

P = Principal amount

r = Rate of interest

t = Time period

Given:

Principal amount (P) = $1,700

Rate of interest (r) = 8% per annum

Time period (t) = 4 years

Using the formula of simple interest:

I = P * r * t

I = 1,700 * 0.08 * 4

I = $544

Therefore, the total interest on a 4-year term loan of $1,700 with a simple annual interest rate of 8% is $544.

Answer: A. $544

An inequality to determine at what times the car will be ahead of the truck is; 63x > 55x + 30

The graph of the inequality is attached and the solution is (3.75, 236.25).

We are told that;

x represent the number of hours that the car and truck travel

The truck is traveling at an average rate of 55 mph. Thus, the expression 55x represents the distance the truck travels in x hours.

The car is traveling at a rate of 63 mph. Thus, the expression 63x represents the distance the car travels in x hours.

In the beginning, the truck was 30 miles ahead of the car. So, we need to solve the inequality:

63x > 55x + 30

Use technology to graph y = 63x and y = 55x + 30 gives us;

The intersection point is (3.75, 236.25)

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Answer:

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

The 98% confidence interval estimating the difference in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain is given by:

(-2.5, 5.1).

For each sample, the mean and the standard error are given as follows:

Hence the mean and the standard error of the distribution of differences is given as follows:

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm ts\)

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 72 + 65 - 2 = 135 df, is t = 2.35.

Then the bounds of the interval are:

The missing information is given by the image shown at the end of the answer.

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The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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Answer:

.92

Step-by-step explanation:

multiplication

Answer:

j

Step-by-step explanation:

Answer:

the answer is -5

Step-by-step explanation:

Answer:

y=-2/3x+5

Step-by-step explanation:

2x+3y=3

3y=-2x+3

y=-2/3x+1

*input the point given)

-1=-2/3(-6)+1

5

hope this helped!!

Answer:hope this helps

Step-by-step explanation:

Answer:

7xy

Step-by-step explanation:

multiply the outside of the brackets by the inside so it is 7xy

Answer:

Step-by-step explanation:

47,57,68

adding 1 to the next number and so on

plus 4, plus 5, plus 6 and so on

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

The number of outcomes that are even are 2, 4, and 6. The total number of rolls is 40 so, 0.6 is the experimental probability of rolling an even number.

Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).

The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.

(a) The number of outcomes that are even are 2, 4, and 6. The total number of rolls is 40. Thus, the following is the experimental likelihood of rolling an even number:

P(even) = (number of even outcomes)/(total number of rolls)

= (7+6+11)/40

= 24/40

= 0.6

Hence, 0.6 is the experimental probability of rolling an even number.

(b) The probability of rolling an even number is 1/2, assuming the cube is fair, since there are three even outcomes (2, 4, and 6) out of a total of six possible outcomes.

Therefore, the theoretical probability of rolling an even number is 1/2.

(c) The statement that is true is:

The experimental probability and the theoretical probability are close, but they are not equal.

(d) The experimental and theoretical probabilities do not have to be equal. The experimental probability is based on actual data, while the theoretical probability is based on assumptions about the probability of each outcome. The experimental probability should, however, get closer to the theoretical probability as the number of trials rises.

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Answer:

4 1/2 x 1/2

9/2 x 1/2 = 9/4

9/4 = 2 1/4

Step-by-step explanation:

Option A) and C) are the correct option which is the remote interior angles of ∠1 are ∠4 and ∠6.

Remote interior angles are the angles that are inside the given triangle and opposite from the exterior angle.

According to the given question we have been given that the ∠1 is an exterior angle and an exterior angle has two remote interior angles.

Thus from the figure we can see that opposite of ∠1 is the vertex with angle ∠4 and ∠6.

Hence the remote interior angles of ∠1 are ∠4 and ∠6. That is option A) and C) is the correct option.

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Answer:

2

Step-by-step explanation:

4/2=2