NEED HELP ASAP!

Dennis is driving down the East Coast of the United States. He starts in Boston, MA, and drives through Hartford, CT, which is approximately 101 miles away from Boston. He continues on from Hartford to Baltimore, MA.

Write an equation for the length of Dennis' trip in miles in terms of the hours it takes him to drive from Hartford to Baltimore and the speed he drives in miles per hour while driving from Hartford to Baltimore. Describe all variables used and what each coefficient means

Answers

Answer 1

The equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

How are time taken for travel, distance traveled, and the average speed are related?

We have this below shown relation between them

[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we take:

Distance from Hartford to Baltimore = d milesTime it takes for Dennis to drive from Hartford to Baltimore = t hoursAverage speed of Dennis in the considered drive = s miles per hour.

Then, we get:

[tex]s = \dfrac{d}{t}\\\\d = s \times t \: \rm miles[/tex]

Thus, the equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

Learn more about forming equations here:

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Related Questions

Which is true for
the vertex?
A. A vertex is any angle.
B. A vertex is the end point of a single line segment.
C. A vertex is a point that describes the corner or
intersection of an angle.

Answers

Answer:

C.

Step-by-step explanation:

It is the corner or a point where line segments meet.

Hi!

Your answer is C.

The vertex is the point where two different rays meet, forming an angle.

It can also simply be the point where 2 straight lines simply meet.

Option A is NOT correct because a vertex is not angle, it is a part of an angle.

Option B is NOT correct because, if there's only one segment, we cannot form a vertex.

See the image below for an example:

Marisa has 26 pokémon cards. Marisa claims that she will have 146 or more pokémon cards after she receives her shipment of 8 packs of cards. How many cards must be in each pack so that Marissa’s statement is true?

Answers

Answer:

26 + 8x.x = 15.

Step-by-step explanation:

Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.

So, we have to make a unknown value on 8.

8x.

Now, we have to find out that unknown value:

26 + 8x= 26 + 8(15)= 26 + 120= 146.x = 15.

There will be 15 cards in Marisa's 8 boxes.

please help
3a-10pts
3b-10pts
3c-10pts

Answers

answer

Solved 3a. (10 pts) fa? x2 arctan (3.c) dx = 3b. (10 pts)

Step-by-step explanation:

brainlist me

What’s ur opinion on that manga rate it out of 10

Answers

2/10 quit reading it after 1 minute

need some help with this question in the image

Cheers​

Answers

Step-by-step explanation:

a) 24.7×52.3=1291.81

On rounding off to 3 significant digits we get

1290

b)

[tex] \sqrt{ {42}^{2} - {28}^{2} } [/tex]

[tex] \sqrt{1764 -784 } = \sqrt{980} [/tex]

=31.304951

On rounding off to 5 significant figures we get

=31.305

c)

[tex] \sqrt[3]{78} = 4.27265[/tex]

On rounding off to 2 significant figures we get

=4.3

Hence required answers

a)1290

b)31.305

c)4.3

I hope it helped you

Can anyone solve this correctly?

Answers

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

Which algebraic expressions are binomials? Check all that apply

Answers

Answer:

Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.

Explanation:

A monomial is a constant, a variable, or the product of constants and variables.  A binomial is the sum or difference of two monomials.  

The first option, xy, is a monomial.  There is only one, so it is not a binomial.

The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.

The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.  

The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it).  This means it is a trinomial, not a binomial.

Answer: B, C, and E.

Step-by-step explanation:

Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.

:)

Pat, Jo, Al, and Dan are finalists in a talent contest. How many different ways can Pat, Jo, Al, and Dan finish in first, second, third, and fourth place in the contest?

23 ways
10 ways
24 ways
12 ways

Answers

Answer:

24 ways!

Step-by-step

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

What is permutations?

A permutations is "a mathematical calculations of the number of ways  a particular data can be arranged".

According to the question,

Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.

Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex]  where 'n' number of items set and 'x' is the item taken for Permutation.

In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.

First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position

Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!

= 1×2×3×4  =24 ways.

Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

Learn more about Permutation here

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anybody help me

explain how to do it if ya can

Answers

Multiply the lengths and widths of each shape.
2x3=6
2x9=18
6+18=24 square meters

Answer:

If the left side of the big rectangle is 2m then the right side should be the same. We have 4m

If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.

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

SMALL RECTANGLE

The left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.

The top is 3m so the bottom should also be 3m we now have 10m

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

ANSWER

If you add 10 + 22 you get 32. 32 is your answer :)

Step-by-step explanation:

What is plancks constant?what is it used for and where is it used?

Answers

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).

What is Plancks constant?

Planck's constant is the elementary quantum of action. Its unit  is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:

E = hf

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Answer:

Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.






Step-by-step explanation:

Have a great rest of your day
#TheWizzer

3Ix+5I=7

I= absoulute value symbol

Answers

Answer:

[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Step by step explanation:

[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Given: f(x)=x²+1 and f(g(x)) = 4x² + 4x +2. Find g(x).

Answers

Answer:

g(x)=2x+1

Step-by-step explanation:

(2x+1)^2+1=4x^2+4x+2

3*(2)=6+5 3*(2+5)
Please help

Answers

Answer:

6 = 413 is a not true statement

Step-by-step explanation:

I've attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

help asap please,i don’t get the question

Answers

Answer:

see below

Step-by-step explanation:

I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2  are equivalent

  Only the highlighted one is not equiv to the other three

Help Meeee Please. I don’t understand

Answers

i'm pretty sure it's A if not then definitely B

100 POINTS!!!!!!!!!! PLEASE HELP NEED THIS DONE AS SOON AS POSSIBLE ASAP

Answers

Answer:

20.28

Step-by-step explanation:

Triangles; 4

Area of 1 Triangle; 2

Rectangles; 8

Semi Circle; 6.28

Area in total; 20.28

Hope This Helps! :)

Step-by-step explanation:

Area of the rectangle: 4×2=8

Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29

Area of one triangle: 1/2×2×2= 2

Area of total figure: 8+6.29+2+2= 18.29

Hope this helps =)

What type of angle is shown below?
29°
O A. Obtuse
O B. Acute
O C. Right
O D. Straight
Help pls

Answers

The answer would be acute because it is an angle less than 90 degrees

Answer:

B. Acute

Step-by-step explanation:

Any angle less than 90 degrees is an acute angle. A 90-degree angle is a right angle, and is typically marked with a little box. Any angle more than 90 degrees and less than 180 degrees is an obtuse angle. A 180-degree angle is a straight angle and is basically just a line.

Since 29 degrees is less than 90 degrees, we know that the answer is B, an acute angle.

I hope this helps! Have a lovely day!! :)

(also, here is a picture of examples of the different angles)

write an approximate equation of the line of best fit, then predict the average temperature.

Answers

Answer:

[tex]\textsf{\sf(a)} \quad y=-\dfrac54x+\dfrac{205}{2}[/tex]

(b)  $46.25

Step-by-step explanation:

When adding a line of best fit, ensure that the number of points above and below the line is about equal.

See attachment for line of best fit.

Part (a)

From inspection of the graph, two points on the line are (10, 90) and (50, 40).  Therefore,

[tex]\textsf{let}\:(x_1,y_1)=(10,90)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(50,40)[/tex]

Calculating the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{40-90}{50-10}=-\dfrac54[/tex]

Using the point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies y-90=-\dfrac54(x-10)[/tex]

[tex]\implies y-90=-\dfrac54x+\dfrac{25}{2}[/tex]

[tex]\implies y=-\dfrac54x+\dfrac{205}{2}[/tex]

(where x is the average monthly temperature in °F and y is the monthly heating costs in dollars)

Part (b)

Substitute x = 45 into the equation found in part (a):

[tex]\implies -\dfrac54(45)+\dfrac{205}{2}=46.25[/tex]

Therefore, the monthly heating cost for a month with an average temperature of 45 °F is approximately $46.25

There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used?

Answers

Answer: 47 ream papers were used.

Step-by-step explanation:

23,500 divided by 5000 = 47

Hope it helps!

Phoebe works for a company that advertised an annual increase
of 5% to an employee's hourly pay. When Phoebe went to sign
her contract with the company, she noticed that her boss had
indicated that she would receive an annual increase of
$0.75 per hour. please help its for a test

Answers

Based on the annual percentage increase and the actual amount, the wage rate per hour at Phoebe's job is $15 per hour.

What is Phoebe paid per hour?

The company gives an increase of 5% on the hourly wage per hour and this amount comes out to be $0.75.

The wage rate per hour is therefore:

= Actual increase amount / Percentage increase

Solving gives:

= 0.75 / 5%
= $15 per hour

Find out more on wages per hour at https://brainly.com/question/25863464.

2. Find the sum of the geometric series.

Answers

Answer:

324

Step-by-step explanation:

** The attachment shows an arithmetic sequence **

Sum of Arithmetic Series formula

[tex]S_n=\dfrac12n(a+l)[/tex]

where:

a = initial terml = last term

[tex]a_n=2n-1[/tex]

[tex]\implies a_1=2(1)-1=1[/tex]

[tex]\implies a_{18}=2(18)-1=35[/tex]

[tex]\implies S_{18}=\dfrac12(18)(1+35)=324[/tex]

[tex]\\ \rm\Rrightarrow \sum^{18}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(18)-1[/tex]

a=2-1=1a_18=l=36-1=35

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n(a+l)}{2}[/tex]

[tex]\\ \rm\Rrightarrow S_n=\dfrac{18(1+35)}{2}=9(36)=324[/tex]

Find the sum of 6x^2+10x-16x 2 +10x−1 and -5x^2-2x+1−5x^2 −2x+1.

Answers

Answer:

-21x² + 8x + 2

Step-by-step explanation:

Addition of two polynomials:

Like terms have same variable with same power. Combine like terms.

(-16x² & -5x² are like terms ;  10x and (-2x) are like terms ;  (1 and 1 are constants)

-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1

                                                = -16x² - 5x² + 10x - 2x + 1 + 1

                                                 = -21x² + 8x + 2

[tex](6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x[/tex]

Which equation represents a line which is parallel to the line x-
8y = 48?

Answers

Answer:

y = 1/8x

Step-by-step explanation:

REMEBER: When the slopes are two lines are equal, they're parallel.

Given Equation:

x - 8y = 48 ---> This equation is in standard form.

⇒ -8y = -1x + 48

⇒ y = 1/8x + 6

As a result, the equation of the parallal line to the given equation x - 8y = 48 is:

⇒ y = 1/8x

Brian can't decide which of three shirts he should wear to a party he could closes eyes and randomly pick a shirt or he could put the three shirts in a bag and then remove one either way the selection is not random Brian may end up making a biased choice in this activity you will find the probability of event using a simulation. Can you use playing cards to simulate the situation? explain​

Answers

Answer:

Do know sorry I can help but maby

Neil and his mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Neil puts 3 water bottles into each kit they pack. In all, he packs 150 water bottles. Which equation can you use to find the number of emergency kits k Neil packs?

Answers

The number of emergency kits that Neil packed in total for the 150 bottles is gotten as; k = 50 kits.

How to create equations?

We are told that Neil puts 3 water bottles into each emergency kit packed.

Now, let the number of emergency kits be k.

Thus;

3k = 150

Division property of equality, we have;

3k/3 = 150/3

k = 50

Thus, the number of emergency kits that Neil packed is gotten as k = 50 kits.

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can someone please help me with #1, -a-b pleaseee

Answers

Answer:

A - Isosceles

B - 9

Step-by-step explanation:

(20x - 10)

factor out the 10 so now it is

10(2x - 1)

simplify 20x - 10

Saniya has 5 2/3 of fabric one fourth of fabric is green and 1/3 of remaining fabric is white how many feet of green fabric does she have how many feet of white fabric does she have

Answers

Green: 0.10 feet. White: 0.5 left

Which values of c will cause the quadratic equation -x^2+3x+c=0 to have no real number solutions? Check all that apply.

Answers

Taking into account the discriminant of a cuadratic function, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Discriminant of a cuadratic function

The function f(x) = ax²  + bx + c with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

Then:

If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.

Value of c

In this case, for the quadratic equation -x²+3x+c=0 you know:

a= -1b= 3c= c

If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0

Substituting the corresponding values, you  get:

3²- 4×(-1)×c < 0

Solving:

9 + 4×c < 0

4×c < -9

c< (-9)÷4

c< [tex]-\frac{9}{4}[/tex]

Finally, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Learn more about the discriminant of a cuadratic function:

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kindly answer this please​

Answers

Answer:

See below ~

Step-by-step explanation:

13.

∠2 and ∠5 are adjacent as they lie right next to ∠1C. Angles 2 & 5

14.

∠5 will form a linear pair as they add up to 180°C. Angle 5

15.

∠2 = 180° - 70° - 50°∠2 = 60°B. 60°

16.

A. ∠RVT and ∠RVU

Answer:

13. C. Angles 2 and 5, becuase adjacent means the angles are touching and right next to each other, and three is too far away and is not buffering up to angle 1.

14. That would be C. angle 5, because linear pair angles are angles that share a line and would add up to 180, in this case only angle 5 does that.

15. B. 60 degrees, to find out angle 2, you first need to know the information that a line=180 degrees, and all three angles share a single line being line TQ. so all you have to do, is add up the angles you know, so 70+50=120, and then subtract them by 180, giving you the remainder that is unkown, in this case being angle 2, so 180-120=60.

16. A. angles RVT and angle RVU, remember, ajacent angles are angles that share a side and buffer each other, in which angles RVT and RVU are the only ones that do that.

Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar. A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles. If 5 tiles are picked randomly, the probability that 3 are consonants and 2 are vowels is .

Answers

Answer:

its the only way to get the monkey out of the cage

Step-by-step explanation:

u gave to free the monkes

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