The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.

Captain Hook Get Injured from the previous battle with Peter.

It is required to how the Captain Hook Get Injured.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

Hook sits in his room, sick and injured from the previous battle with Peter. He is bothered by Smee hammering up a sign asking to not disturb the captain. But when Hook tries to attack Smee, he is accidentally smacked on the head with the hammer, causing him to briefly lose consciousness.

Therefore, Captain Hook Get Injured from the previous battle with Peter.

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Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

The probability that a randomly selected Christian living in the United States would identify as Catholic can be calculated by dividing the number of Catholics in the US by the total number of Christians in the US.

To do this calculation, we need to know the accurate data on the number of Catholics and the total number of Christians in the US. Let's assume that there are X Catholics and Y total Christians in the US.

The probability of a randomly selected Christian being Catholic would be:

P(Catholic) = X/Y

Without the accurate data on the number of Catholics and total Christians in the US, it is not possible to calculate the exact probability. However, if we assume that the data provided is accurate and stable, we can use the formula above to calculate the probability.

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Answer:

7$ dollars per hour

Step-by-step explanation:

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

Step-by-step explanation:

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

(0,-5)

2(0) - 5

y = -5 when x = 0

A two-sample t-test is the inferential statistical test that would be best suitable to this situation.

The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A t-test is a method for evaluating hypotheses that involve examining the means of one or more populations. A t-test can be used to determine if one group deviates from a predetermined value, whether two groups diverge from one another (an independent two-sample t-test), or whether paired measurements reveal a statistically significant difference.

According to the question, we can say

With 12 technicians each, there are two techniques. To put it another way, the sample sizes are really small. Aside from that, there is no connection between the two samples. A two-sample t-test should be used as a result.

Thus, a two-sample t-test is the inferential statistical test that would be best suitable to this situation.

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Answer:

Step-by-step explanation:

Prime factorize 12 , 28 , 21  and 16

12 = 2 * 2 * 3 = 2² * 3

28 = 2 * 2 * 7 = 2² *7

21 = 3 * 7

16 = 2 * 2 * 2 * 2 = 2⁴

\(\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}\)

Hint:

\(a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m\)

The area of the square is 144 \(cm^{2}\).

Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.

We know, both these perimeters are equal. Hence,

4x = 3(x+4)

To further simplify the above equation.

4x = 3x + 12

x = 12

Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:

Area = \((side)^{2}\)

Area = 12 * 12

Area = 144 \(cm^{2}\)

Hence, the Area of the Square is 144 \(cm^{2}\)

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The values of the sides are x₁ = 16. 79 and x₂ = 15. 44

It is important the following trigonometric identities and their ratios, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have;

Let's determine the hypotenuse side, we have;

sin 73. 5 = 16. 1/x₁

cross multiply the values, we get

x₁ = 16.1/0. 9588

x₁ = 16. 79

For the value of x₂, we have;

tan 42. 6 = x₂/16. 79

cross multiply, we have;

x₂ = 16. 79 × 0. 9195

multiply

x₂ = 15. 44

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To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.

The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.

1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).

124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).

7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).

Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.

To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.

Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.

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Answer:

2

:) hope it helped!

The height of the ball after 2 seconds is 100 feet.

A height function exists as a function that quantifies the intricacy of mathematical objects.  The height of an object, h(t), exists defined by the formula \(-16 t^{2}\) + vt + h.

Given: Let, the polynomial equation be \(-16 t^{2}\) + vt + h

h = 20 ft and v = 72 ft/s

y = \(-16 t^{2}\) + 72t + 20

To estimate the height of the ball after 2 seconds

substitute the value of t = 2, then

y = -16 \(\times\) 4 + 72 \(\times\) 2 + 20

= -64 + 144 + 20

= 100 feet

The height of the ball after 2 seconds is 100 feet.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Originally, Stefan how much spent in the bicycle and helmet is $247.5

information from the problem

Stefan sells Jin a bicycle for ​$147 and a helmet for ​$18

The total cost for Jin is 150​% of what Stefan spent originally to buy the bike and helmet

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

150%

= 150 / 100

= 1.5

Total amount Jin spent

= 147 + 18

= 165

Original amount spent by Stefan

The factor 1.5 of what Jin spent is calculated

= 1.5 * 165

= 247.5

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The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

Answer:

He would have 12 rows with 15 chairs in each row.

Step-by-step explanation:

180 divided by 18 is 10

10 plus 5 is 15

180 divided by 15 is 12.

The cost to send 130 text messages is:

We know that,

The total cost of sending 80 text messages =  $8.00

So, the cost of sending 1 text message = $8/80

=$0.1 per text message

The cost of sending 130 text messages = 130*$0.1

Therefore, the cost incurred to send 130 text messages = $13

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Answer:

x = 2

Step-by-step explanation:

Firstly, calculate the area of the rectangle with the formula:

Length x width = area

(x+6) * 3 = 3x + 18

The formula for the area of a triangle is:

\(\frac{1}{2} * b * h\)

We can plug the known variables into the equation and get:

\(\frac{1}{2} * 8 * (x+4)\)

4 * (x + 4)

4(x + 4)

4x + 16

As the two areas are the same:

4x + 16 = 3x + 18

Subtract 3x from both sides of the equation:

4x + 16 - 3x = 3x + 18 - 3x

x + 16 = 18

Subtract 16 from both sides of the equation:

x + 16 - 16 = 18 - 16

x = 2

Hope this helps!

Answer:

8

Step-by-step explanation:

Answer:

50 = 25% of 200

Step-by-step explanation:

I don't fully get what is being asked

Answer:

4d+13

Step-by-step explanation:

The simplified expression would be equal to 4d + 14.

We are given the expression as;

2d +17 – 3 – 2d + 4d

To simplify the expression 2d + 17 - 3 - 2d + 4d, we can combine like terms.

Starting with the terms containing the variable "d", we have 2d - 2d + 4d. Since 2d - 2d equals 0, we are left with 4d.

Next, we can combine the constant terms.

We have 17 - 3, which equals 14.

So, the simplified expression is 4d + 14.

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The appropriate conclusion is:

(1) P-value = 0.0099, There is sufficient evidence at the a=0.05 level of significance

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

The null hypothesis is that the proportion of Reed College students who graduate in two years is equal to 0.07, and the alternative hypothesis is that the proportion is greater than 0.07.

To determine the p-value, we can use a one-tailed z-test for the proportion.

The test statistic is calculated as:

z = (p - P) / √(P(1-P)/n)

where p is the sample proportion, P is the hypothesized proportion, and n is the sample size.

Plugging in the values, we get:

z = (12/90 - 0.07) / √(0.07 * 0.93 / 90) = 2.72

Using a z-table, we can find the area to the right of z = 2.72, which is approximately 0.003.

Since this is a one-tailed test, we multiply the area by 2 to get the p-value:

p-value = 0.006

The p-value is less than the significance level of 0.05, so we reject the null hypothesis.

Therefore, The appropriate conclusion is:

(1) P-value = 0.0099, There is sufficient evidence at the a=0.05 level of significance, to conclude that the proportion of Reed College students that will graduate in two years is greater than 0.07.

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The length of a typical house cat is 18.4 inches Since 1 inch = 2.54 cm, how many centimeters is this18.4 X 2.54  = 46.736 cm

Dimensional Transformation defined The identical characteristics of one unit of measurement are expressed by a unit conversion. For instance, time might be indicated in minutes rather than hours, and distance can be measured in kilometers, feet, or other length units instead of miles.

Measures are malleable. To overcome the issue, use fundamental conversion principles. From bigger to smaller units, multiply. Create bigger units by combining smaller ones. It truly is that simple!

The length of a typical house cat is 18.4 inches Since 1 inch = 2.54 cm, how many centimeters is this

18.4 X 2.54  = 46.736 cm

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