Tim and Jim leave Chicago traveling in opposite

directions. Jim travels 65 mph and Tim travels

63 mph. In how many hours will they be 1056

miles apart?

The **formula **for time,** t = d/s** which means time exists equivalent to **distance **divided by speed.

The **times taken **to travel 441 miles apart exists 8.25 hours

Time can be defined as the **dimension **based on which the evolution of any system takes place. It can be measured in terms of seconds, minutes, hours, days, weeks, months, and years.

The **formula **for time,** t = d/s** which means time exists equivalent to distance divided by speed.

Given: Train running in the opposite direction

Speed of one train (S1) = 65 mph

Speed of one train (S2)= 63 mph

**Distance **to be covered = 1056 miles

Train exists running in the **opposite direction**, so their relative speed = (S1 + S2)

**Relative speed **= (65 + 63) = 128 mph

Now, time is taken to travel 1056 miles apart

**Time **= Distance / relative speed

Time = 1056/128 = 8.25 hours

Therefore, the **times taken **to travel 441 miles apart exists 8.25 hours

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Use the power reducing fabulous rewrite the identity in terms of the first power of cosine

The power reducing formula for the fourth power of the cosine function is:

[tex]\cos ^4\theta=\frac{3}{8}+\frac{1}{2}\cos (2\theta)+\frac{1}{8}\cos (4\theta)[/tex]Replace **θ=3x** to find the expression for **cos⁴(3x)** in terms of the first power of the cosine function:

**Therefore, the answer is:**

Use the second option to write this expression as input.

Ashley is a software saleswoman. Her monthly salary is $2200 plus an additional $40 for every copy of math is fun she sells. Let S represent her total salary (In dollars), and let N represent the number of copies of math is fun she sells. Write an equation relating S to N and then graph your equation using the axes below

The **equation **of S in terms of N is S(N) = 2200 + 40N

From the question, the given parameters are

Monthly salary = $2200

Additional earnings = $40 per copy of Math fun sold

The **equation** that relates S to N is then calculated as

Total = Monthly salary + Additional earnings x Number of copy of Math fun sold

Substitute the **known values **in the above equation

So, we have

S(N) = 2200 + 40N

So, the **equation **is S(N) = 2200 + 40N

See attachment for the **graph**

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Is this a function if so explain if not explain

Yes, this is a function because if you were to move a vertical line across the graph, it would touch the graph at only one point at a time.

Solve the inequality.

3x+6<3(x-7)

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3(x-7) } \end{gathered}$} }[/tex]

**Simplify both sides of the inequality.**

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }[/tex]

**Subtract 3x from both sides.**

**Subtract 6 from both sides.**

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }[/tex]

There are no solutions.Standard form: x ∈ ∅**Answer:**

0 < - 27

**Step-by-step explanation:**

1. Distribute

3x + 6 < 3(x-7)

3x + 6 < 3x - 21

2. Subtract 6 from both sides

3x + 6 < 3x - 21

3x + 6 - 6 < 3x - 21 - 6

3. Simplify

subtract

3x + 6 - 6 < 3x - 21 - 6

3x < 3x - 21 - 6

subtract

3x < 3x - 21 - 6

3x < 3x - 27

4. Subtract 3x from both sides

3x < 3x - 27

3x - 3x < 3x - 27 - 3x

5. Simplify

combine like terms

3x - 3x < 3x - 27 - 3x

0 < 3x - 27 - 3x

0 < 3x - 27 - 3x

0 < - 27

And that is how you get your answer

Question 3 options:

Premises:

If you have a cat, then it will chase mice.

You have a cat.

Conclusion:

Your cat will chase mice.

The Law of

The law of **mathematical logic** that was used to derive the given conclusion is; Law of **Syllogism**

The law of syllogism is defined as a type of **logical argument** using deductive reasoning.

Now, In **mathematical logic**, the Law of **Syllogism** states that if the following two statements are true:

(1) If d , then e .

(2) If e , then f .

Then we can derive a third true statement:

(3) If d , then f .

Now, applying that law to our question, we see that;

1) If you have a cat, then it will chase mice.

2) You have a cat.

Then we can derive a third true statement:

3) Your cat will chase mice.

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f(n) = 3 to the power of n

f(-1) =

The answer to the function as provided that f(n) = 3 to the power of n can thus, solving the **linear function** as n for -1 we get the answer.

A **function** in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's **domain **and **codomain**, respectively.

A statement, rule, or law that establishes a relationship between an **independent variable** and a dependent variable in mathematics (the dependent variable) is said as a function.

f[n]= [tex]3^n[/tex]

And find f(-1)

So put -1 in place of n

thus f[-1] = [tex]3^{-1[/tex]

=1/3

=0.33

In mathematics, functions exist everywhere, and they are crucial for constructing **physical links** in the sciences.

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4/x-2 + 3/x-3 = 5

X=

X=

Note: the answers have to be either integers or decimals

**Answer:**

x = 4 , x = 2.4

**Step-by-step explanation:**

[tex]\frac{4}{x-2}[/tex] + [tex]\frac{3}{x-3}[/tex] = 5

multiply through by (x - 2)(x - 3)

4(x - 3) + 3(x - 2) = 5(x - 2)(x - 3)

4x - 12 + 3x - 6 = 5(x² - 5x + 6)

7x - 18 = 5x² - 25x + 30 ( subtract 7x - 18 from both sides )

0 = 5x² - 32x + 48

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 48 = 240 and sum = - 32

the factors are - 20 and - 12

use these factors to split the x- term

0 = 5x² - 20x - 12x + 48 ( factor the first/second and third/fourth terms )

0 = 5x(x - 4) - 12(x - 4) ← factor out (x - 4) from each term

0 = (x - 4)(5x - 12)

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x - 12 = 0 ⇒ 5x = 12 ⇒ x = 2.4

2x+3x+4x=180 what’s x

[tex](2x + 3x + 4x) = 180 \\ 9x = 18 \\ \frac{9x}{9} = \frac{180}{9} \\ x = 20[/tex]

ATTACHED IS THE SOLUTION with the steps.

2x+3x+4x=180

x=20

Hope this helped!

x=20

Hope this helped!

34 is the product of gornan age and 2

**Answer:**

17 * 2= 34

therefore, 17 and 2 are the factors of 34

**Step-by-step explanation:**

(Geometry 1)

#14 please answer quickly❗️

P-x=n

X being the variable.

X being the variable.

Rewrite the following numbers as rational numbers in the form of p/q (where P and Q are integers and Q≠O) in there lowest terms:

a). 0.75

b). 0.12

c). 0.80

d).1.25

The **numbers** in the **rational form** ( in there lowest form) of p/q are

(a) 0.75 = 3/4

(b) 0.12 = 3/25

(c) 0.80 = 4/5

(d) 1.25 = 5/4

In the question ,

number in the **decimal form** are given , and we have to express them in the rational form that is p/q .

So ,the expressions in **rational form** and **lowest** form are

(a) 0.75 [tex]=[/tex] 75/100 = 3/4

(b) 0.12 [tex]=[/tex] 12/100 = 6/50 = 3/25

(c) 0.80 [tex]=[/tex] 80/100 = 8/10 = 4/5

(d) 1.25 [tex]=[/tex] 125/100 = 5/4

Therefore , The **numbers** in the **form of p/q **are (a) 0.75 = 3/4 , (b) 0.12 = 3/25 , (c) 0.80 = 4/5 , (d) 1.25 = 5/4 .

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Please help 20 points

I don't understand how I'm supposed to solve this I divided both sides and then multiplied but it says my answer is wrong

My teacher said to put 1 under 12

**Answer: 16**

**Step-by-step explanation: Solve for x**

** by simplifying both sides of the equation, then isolating the variable.**

**Answer: **

**x= 1/3**

**Step-by-step explanation:**

**1. Combine multiplied terms into a single fraction**

**2. Multiply all terms by the same value to eliminate fraction denominators**

**3. Cancel multiplied terms that are in the denominator**

**4. Divide both sides by the same factor**

**5. Simplify**

8% of us adults have blood type b-positive. suppose we take a random sample of 38 us adults. let x represent the number of adults (out of the sample of 38) with blood type b- positive. this situation can be modeled with a binomial random variable x. 4. calculate the mean of x. show all work and round your answer to two decimal places.

**Mean** of the number of adults (out of the **sample of 38**) with blood type b- positive (x) is 3.04

Let x be the **number of adults **out of 38 with blood type b-positive

Probability, p of adults with blood type b-positive=8%=0.08

Sample size, n=38

Using binomial random variable x binomial(n=38, p=0.08)

p(X=x)=[tex]\left \ ({{n} \atop {x}}) \right. p^{x} q^{n-x}[/tex], where x=0,1,2,3,.....n

Mean of x:

Mean of x=(probability of adults with blood type b-positive*sample size)

So, mean of x=p*n, where n=38, p=0.08

=0.08*38

=3.04

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if the base of a rectangle is 12cm and the area is 345 cm², what is the height of the rectangle

**Answer:** 28.75 cm

**Step-by-step explanation:**

Using the **formula** for the **area **of a **rectangle**, we can plug in our known values and **solve **for the **height**.

A = B * H

(345 cm²) = (12cm) * H

28.75 cm = H

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are the following solutions to the equation y=1/3x-2?

Answer: y-intercept (0,−2) and the slope is 1/3

Which of the following is a solution to the equation

2x² + 4x = 3 + 3x²

**Answer:**

x = 1 or x =3

**Step-by-step explanation:**

2x² + 4x = 3 + 3x²

2x²-3x²+4x -3 = 0

-x² + 4x -3 = 0

by calculator:

x = 1 or x =3

Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? 1 + 3 2 5 + | - 10 | ÷ 2 Step 1: = 1 + 3 2 5 + 10 ÷ 2 Step 2: = 1 + 9 5 + 10 ÷ 2 Step 3: = 10 5 + 10 ÷ 2 Step 4: = 2 + 10 ÷ 2 Step 5: = 12 ÷ 2 Step 6:

**Answer:**

step 1 is correct

**Step-by-step explanation:**

when you find the absolute value of a number i.e | | the result is always positive

eg |-20| = 20

step 1 is correct

WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.

**Answer: 2**

**Step-by-step explanation: 12 divided by 3 is 4 so 6 divided by 3 would be 2**

**⇒I will use the similarity theorem which works by proportion of sides in similar shapes.**

**⇒The side with magnitude 12 in the bigger triangle is proportional with the side with magnitude 4 in the smaller triangle**

**⇒The side with magnitude 6 in the bigger triangle is proportional with the side with magnitude x in the smaller triangle. The proportionality theorem allows us to equalize the proportions of the sides**

**⇒HOW? HERE it is the solution**

**⇒**[tex]\frac{12}{4} =\frac{6}{x} \\[/tex]

⇒[tex]12(x)=4(6)\\12x=24\\\frac{1x}{12} =\frac{24}{12} \\x=2[/tex]

**⇒I used cross multiplication**

Complete the tables of values for x+2y =7

Answers for the chart left to right

(-2, 4 1/2) (-1, 4) (0, 3 1/2) (1, 3) (2, 2 1/2) (3, 2)

Step by step

First I put our equation into y intercept form

2y = -1x + 7

Divide both sides by 2 to isolate y

2/2 y = -1/2x + 7/2

y = -1/2x + 3 1/2

Now we fill in your chart

From this we see the y intercept is at 3 1/2, so at (0, 3 1/2) is our coordinate on the y axis.

Enter this on your chart at 0x.

From here, we see our slope or rate of change is - 1/2 for every x value. So moving to the right from 0

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

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

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

Moving left from 0

3 1/2 - -1/2 = 4 (-1, 4)

4 - -1/2 = 4 1/2 (-2, 4 1/2)

Now you can graph your points

I did a graph for you as an example in the attachment

(-2, 4 1/2) (-1, 4) (0, 3 1/2) (1, 3) (2, 2 1/2) (3, 2)

Step by step

First I put our equation into y intercept form

2y = -1x + 7

Divide both sides by 2 to isolate y

2/2 y = -1/2x + 7/2

y = -1/2x + 3 1/2

Now we fill in your chart

From this we see the y intercept is at 3 1/2, so at (0, 3 1/2) is our coordinate on the y axis.

Enter this on your chart at 0x.

From here, we see our slope or rate of change is - 1/2 for every x value. So moving to the right from 0

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

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

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

Moving left from 0

3 1/2 - -1/2 = 4 (-1, 4)

4 - -1/2 = 4 1/2 (-2, 4 1/2)

Now you can graph your points

I did a graph for you as an example in the attachment

Which scatterplot would have a trend line with a negative slope?

On a graph, points are scattered all over the graph.

On a graph, points are grouped together and decrease.

On a graph, points are grouped together and increase.

**Answer:** B, the middle graph - "On a graph, points are grouped together and decrease."

**Step-by-step explanation:**

A **negative slope **means the** x-value **is going **down **as the **y-value increases**. The only option that consistently meets this criteria is B, "On a **graph**, **points **are grouped together and **decrease**."

**Answer:**

The **2nd** Graph aka **B**

**Step-by-step explanation:**

got it right on edge

Help me please will give brainlist

**Answer:**

1

5

**Step-by-step explanation:**

y = mx + b

b = -5 (the y-intercept)

m = 1/1 = 1

y = x - 5

What is the geometric definition of this angle?

**Answer: It is obtuse**

**Step-by-step explanation: the angle looks greater than 90 degrees :)**

Is x = 6 a solution to the equation 5(x - 3) = x + 13?Follow the steps to find out.1. Rewrite the equation 5(x - 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.Write your answer in the space below. 2. Simplify both sides. Show your work.Write your answer in the space below.3. Is x = 6 a solution to the equation? Why or why not? Write your answer in the space below.4. Find a value of x that is a solution to 5(x-3) = x + 13.Write your answer in the space below.

The given equation is

5(x - 3) = x + 13

We want to test if x = 6 is a solution. We would substitute x = 6 into the equation. We have

5(6 - 3) = 6 + 13?

5(3) = 6 + 13?

15 = 19?

Since both sides of the equation is not equal, then

**x = 6 is not a solution of the equation**

Name:Unit 4: Congruent TrianglesHomework 4: Congruent TrianglesDate:Per:** This is a 2-page document! **1. Write three valid congruency statements given the triangles below.тHDa)b)MD-Wc)Directions: Given the congruency statement, list all congruent angles and sides,2. ΔΑΒΕ ΔΜΝΡ3. AQRY AJLSAnglesSidesAnglesSidesWrite another valid congruency statement:Write another valid congruency statement:4. Given ASTU AKLM, complete each of the following statements.Ua) TITd) MALIST

Firstly, congruent angles are equal

The three statements are

1. Triangle PTW = Triangle HGD

2. Triangle WPT = Triangle DHG

3. Triangle TWP = Triangle GDH

From the figures, it was observed that they are similar

When you look at the figures very well

You will observed that Triangle PTW is Similar to triangle HGD

They both have similar properties

Anna model airplane, the scale is 5 cm equals 2 m. If the models wingspan is 28.5 centimeters camera what is the actual wingspan?

**Answer:**

11.4 m

**Step-by-step explanation:**

2m / 5 cm * 28.5 cm = 11.4 m

Help help help help please Heldon 30 Points

**Answer:Rotation then a translation**

**Step-by-step explanation: rotate 90 degrees clockwise around center J. Then translate 3 to the right, 2 down**

Why do you think 900km is less than the perimeter of the of Bhutan (about 1075km)?

**900km** is** less than the perimeter **of the of Bhutan about 1075km.

The complete length of a shape's boundary is referred to as the **perimeter** in **geometry**. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its **dimensions** are expressed in linear units like centimeters, meters, inches, and feet.

The length of a shape's outline is its **perimeter**. You must add the lengths of all four sides of a rectangle or square to determine its **perimeter**. In this instance, **x represents** the rectangle's length and y its width. The surface of a shape's area is measured.

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Write an expression that is equivalent to 3/4a + 2/3 - 1/2a - 1/3 + 1/2a

3/4a +1/3. Combine like terms

Kaia's mom is having triplets. Each baby could be either male or female.Which outcome would be included in the compound event "at least twomales"?

**MFM (option A)**

Outcome could be male or female

At least two male means the minimum of number of men that we would have in the sample space outcome is 2.

**The outcome that satisfies this are:**

MMM, MMF, MFM, FMM

**From the above, the one in the options is MFM (option A)**

can anyone help me with this

**Step-by-step explanation:**

Since area = 27cm²

area = 3 × (x + 4)

27 = 3(x + 4)

expand the right side

27 = 3x + 12

move 12 to the left side and subtract it with 27

15=3x

then divide both sides with 3

x=5

What is the best choice
-7 -6 -5 -4 -3 -2 ONO MN ++ HA -6-5-4-3-2-1 + 11 2 3 4 5 6 7 8 9 -2 -3 F-4 -5 -6 -7 -A + jo voo Alcon ixth If this is the graph of f(-x) = a +k, then : A. 0 < a < 1 B. a < 0 O c. a> 1 O D. K> 1
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Which of the following cells do not kill cells directly?
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Which statement best explains how the organization of the passage helps clarify the ideas expressed in the passage?Federal Duck StampWhen the explorers first set foot in North America, the land and skies teemed with an astonishing variety of wildlife. Within a few decades, these resources had been decimated. Millions of birds and other wildlife were killed, some species to the point of extinction. Market shooting to supply food to restaurants, bounty hunting and unregulated sport hunting, and collecting feathers for the fashion industry all contributed to the loss. Millions of acres of wetlands were drained to feed and house the everincreasing population, greatly reducing waterfowl breeding and nesting habitat. Mother Nature has taken her toll with devastating droughts and floods that affect bird migration rest areas and wintering grounds. And climate change has the potential to alter bird populations in North America; estimates are that more than 300 species will be driven to smaller spaces or forced to find new places to live, feed and breed over the next 65 years. As well as providing habitat for wildlife, wetlands help maintain ground water supplies, filter pollutants, store flood waters, provide nurseries for many food sources, and protect shorelines from erosion. These provide important benefits to neighboring human communities. By buying Federal Duck Stamps, you can make a difference by providing wildlife habitat in your own community.BORN IN THE DUST BOWL DAYSIn 1934, President Franklin D. Roosevelt signed the Migratory Bird Hunting Stamp Act (or Duck Stamp Act), and an increasingly concerned nation took firm action to stop the destruction of wetlands vital to the survival of migratory waterfowl. Under the act, all waterfowl hunters 16 years of age and over must annually buy and carry a Migratory Bird Hunting and Conservation Stamp better known today as a Federal Duck Stamp. Ninetyeight cents of every duck stamp dollar goes directly into the Migratory Bird Conservation Fund to purchase or lease wetlands and wildlife habitat for inclusion in the National Wildlife Refuge System. This ensures there will be land for wildlife and humans that will be protected for generations to come. Since 1934, some $800 million dollars has gone into that fund to protect more than 5.7 million acres of habitat. Little wonder the Federal Duck Stamp Program has been called one of the most successful conservation programs ever initiated. One of the reasons for the Duck Stamp's success is that anyone can buy the stamp, which can also be used as an annual "pass" to national wildlife refuges charging entrance fees.WHY BUY DUCK STAMPS?Conservationists buy duck stamps because they know that 98 percent of the cost goes directly to conserve wildlife habitat vital for many birds, fish, mammals and plants, and you and your family and future generations. This small investment brings longterm returns. Stamp collectors purchase the stamp as a collectible that increases in value. Hunters, who strongly advocated for the Duck Stamp's creation, willingly pay the stamp price to ensure the survival of our natural resources. And many hunters buy two duck stamps each year one for hunting and one as a collector's item and an additional contribution to conservation. The Federal Duck Stamp has evolved over its more than 80 years of existence. In recognition of the stamp's growing value as a conservation tool, its formal name was changed to the Migratory Bird Hunting and Conservation Stamp.A) It presents historical information in chronological order throughout the text.B) It includes rhetorical questions to introduce each of the passage's main ideas.C) It explains background information about an issue and then presents new facts.D) It provides an introduction and uses main headings to break down key ideas.
PLEASE HELP ASAP!!!!!!!
8.S-80ZX Dlo Please help HELP PLEASE
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