Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.

Answer:

The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.

The ferryman should transport the goat first, then return alone to bring the wolf, leaving the goat on the right bank. Finally, he should transport the cabbage and leave it with the wolf.

In order to solve this puzzle, the ferryman must make a series of careful moves to ensure the safety of the wolf, goat, and cabbage. The first step is to transport the goat to the right bank, leaving it there. The ferryman then returns to the left bank alone.

He takes the wolf across the river, but before leaving it on the right bank, he brings the goat back to the left bank. Now, the goat and cabbage are on the same side, while the wolf remains on the right bank.

The ferryman transports the cabbage to the right bank, leaving it there, and then returns alone to the left bank. Finally, he takes the goat across the river one last time, completing the puzzle. This sequence of moves ensures that the wolf and goat are never left alone together, nor are the goat and cabbage.

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Answer:

=======================================================

Explanation:

Refer to the diagram below.

Angle JKP is marked in red, and it's 67 degrees.

Angle PKL is marked in green, and it's right next to angle JKP. The two angles combine to form a straight line. This means the angle measures add to 180.

So,

(angleJKP) + (anglePKL) = 180

anglePKL = 180 - (angleJKP)

anglePKL = 180 - (67)

anglePKL = 113

--------------------

Angle MKL is a right angle, aka 90 degree angle. This is indicated by the square marker in the diagram.

Subtract this from the angle PKL we just found. This will get us the measure of angle PKM

anglePKM = anglePKL - angleMKL

anglePKM = 113 - 90

anglePKM = 23

This is congruent to angle NKO because angles PKM and NKO are vertical angles. Vertical angles are always congruent.

Therefore, angleNKO = 23.

--------------------

Another approach you could take is to see that angles JKP and LKO are vertical angles. So angleLKO = 67.

Then notice how,

angleLKO+angleNKO = 90

angleNKO = 90-angleKLO

angleNKO = 90-67

angleNKO = 23

Answer:

1. 17.25 meters or 15m 2.25cm

Step-by-step explanation:

2. 9:17 p.m.

4. 15 degrees celsius

5. 0.261111111 kilograms or 261.111111 grams

6. May 27

8. Rs 48

sorry i couldn't answer all of it

The publication of three major books on race in chronological order, from earliest to most recent is:

Chronological order is the listing, description, or discussion of when events occurred in relation to time. Essentially, it is similar to looking at a chronology to see what happened initially and what happened after that. For example, if teachers asked their pupils to recount their first day of school, they would expect students to begin by waking up that morning and getting ready. If pupils begin from the time they enter the school, significant information is lost and the listener may become confused due to a lack of knowledge.

Helping pupils grasp what chronological order is and how to use the skill correctly can benefit students ranging from kindergarten to collegiate levels. The concept may appear simple, yet failing to master chronological sequence can cause kids to struggle academically and lack a solid educational foundation.

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The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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Answer:

x = 4

Step-by-step explanation:

Given

\(\frac{x-2}{4}\) = \(\frac{3x-7}{10}\) ( cross- multiply )

4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )

12x - 28 = 10x - 20 ( subtract 10x from both sides )

2x - 28 = - 20 ( add 28 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

Therefore, the resulting expression after factoring the polynomial 26r³s - 52r⁵ - 39r²s⁴ is option d: 13r²(2rs - 4r³ + 3s⁴).

To factor the expression 26r³s - 52r⁵ - 39r²s⁴, we can first identify the common factors among the terms. In this case, the greatest common factor (GCF) is 13r².

We can factor out the GCF from each term:

26r³s / (13r²) = 2rs

-52r⁵ / (13r²) = -4r³

-39r²s⁴ / (13r²) = -3s⁴

After factoring out the GCF, we obtain 13r²(2rs - 4r³ - 3s⁴).

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If the function f be defined by f(x) =5x – 2a, then the value of a is 5.

Let the function f be defined by f(x) =5x – 2a

The value of f(10)

f(x) =5x – 2a

f(10) = 5(10) - 2a

f(10) = 50 - 2a

The value of f(10)

f(x) =5x – 2a

f(5) = 5(5) - 2a

f(5) = 25 -2a

f (10) + f (5) = 55,

50 - 2a + 25 - 2a = 55

-4a = 55 - 75

4a = 20

a = 5

Therefore, if the function f be defined by f(x) =5x – 2a, then the value of a is 5.

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The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

the Palo Duro Canyon is found in the Great Plains of Texas.

Answer:

texas

Step-by-step explanation:

texas

In order to solve the equation 14(x + 12) = 2, we need to follow the order of operations which is also known as PEMDAS which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. Let's solve the equation below step by step;

First of all, let us get rid of the parenthesis by multiplying 14 by each of the terms inside of the parenthesis;14(x + 12) = 2 Distribute 14 to both x and 12.14x + 168 = 2 Combine like terms.14x = -166 Now, we need to isolate the variable (x) by dividing both sides of the equation by 14, since 14 is being multiplied by x.14x/14 = -166/14 x = -83/7Therefore, the solution for the equation 14(x + 12) = 2 is x = -83/7 which is equal to -11.86 (rounded to the nearest two decimal places).The solution can be confirmed by substituting -83/7 for x in the original equation and ensuring that the equation is true.

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Answer:

\(\frac{1}{8}\)

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or \(\frac{1}{2}\)

So to get the probability for the three flips just do:

\((\frac{1}{2}) ^{3}\)  or \(\frac{1}{2}\) × \(\frac{1}{2}\) × \(\frac{1}{2}\)

Either way you solve it the answer is \(\frac{1}{8}\)

Answer:

B. Right angles

Step-by-step explanation:

When perpendicular lines intersect, they create 90° angles (aka right angles)

Answer:

I think the answer is 73

The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Answer:

-9

It is -9 because 45/5 is 9 and it keepthe negative sign

Answer:

-9

Step-by-step explanation:

- and + is -

45/5=9

but it's -

So -9

Answer:

36%

Step-by-step explanation:

Answer:

The right answer is Option D: \(y = -\frac{2}{3}x+\frac{3}{2}\)

Step-by-step explanation:

Given that initial value of 3/2 and rate of change is -2/3

The given functions can be observed and it can be concluded that the functions are in the form

\(y = mx+c\)

Here m is the slope which is also called rate of change and c is the y-intercept.

The y-intercept is the initial value when input is zero.

So we have to look for a function that has 3/2 in place of c and -2/3 in place of m.

From the given options,

\(y = -\frac{2}{3}x+\frac{3}{2}\) is the matching function

Hence,

The right answer is Option D: \(y = -\frac{2}{3}x+\frac{3}{2}\)

The slope of the tangent line to y=f(x)g(x) at the point where x=4 is 36.

Dionysus is working on a question that asks him to find the slope of the tangent line to y=f(x)g(x) at the point where x=4. He was given the following information:- The slope of the tangent line to y=f(x) at the point (4,7) is −3. This means f(4)=7 and f ′(4)=−3.-

The slope of the tangent line to y=g(x) at the point (4,2) is 6. This means g(4)=2 and g ′(4)=6.The formula for finding the derivative of the product of two functions is:(f(x)g(x))' = f'(x)g(x) + f(x)g'(x)

Dionysus enters into Achieve: The slope of the tangent line to y=f(x)g(x) at the point where x=4 is f′(4)g′(4)=−3⋅6=−18.

However, this solution is wrong.

Explanation of the Error: The product rule has two terms, and Dionysus only considered one of them.

Therefore, the correct answer will be f(4)g′(4) + f′(4)g(4) which is equal to 7(6) + (-3)(2) = 42 - 6 = 36.

Therefore, the slope of the tangent line to y=f(x)g(x) at the point where x=4 is 36.

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The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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Answer: 100 times

Step-by-step explanation:

The cube is numbered 1 to 6. That is, 1, 2, 3, 4, 5, 6. That means there are 6 possible outcomes for each toss. But there are 2 outcomes we want, 5 and 6 (greater than 4).

So, for each toss, there is a probability of 2/6 = 1/3 that this will occur.

With 300 tosses, we can say that this will probably happen 300 times. This means that it will happen

1/3 * 300 times = 100 times.

Therefore, we can predict we will get a 5 or 6 about 100 times.

first ,length(l)=14 feet,

bredth(b)=6feet.

now, perimeter = 2(l+b)

=2(14+6)

= 2×20

= 40 feeet

Hope this helps you....

Answer:

B.

3/2; −3

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x  . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  ( 3 /2 , 0 )  

y-intercept(s):  ( 0 , − 3 )

Answer:

To simplify the expression 5x * 3x, you can multiply the coefficients (numbers) together and then multiply the variables together.

The coefficient of 5x is 5, and the coefficient of 3x is 3. Multiplying them gives us 5 * 3 = 15.

The variable x is being multiplied by x, so we can combine the variables by adding their exponents. The exponent of x is 1, and when multiplied by x (which has an exponent of 1), we get x^1 * x^1 = x^(1+1) = x^2.

Putting it all together, 5x * 3x simplifies to 15x^2.