Mathematics High School

How far does a bus travel in 2.5 hours at 65mph?

Answers

Answer 1
The answer is =

162.5 miles
Answer 2
Since in one hour the bus travels 65 miles, you can multiply 2.5 hours by 65 and get your answer, 162.5

Related Questions

Simplify the ratio 30 ml: 45 ml

Answers

In order  to simplify a ratio you divide the two number with the greatest common factor(GCF). 

In the ratio 30 ml :45 ml the GCF is 15
making the  simplified ratio to be 2 ml:3 ml

PLEASE HURRY
Line segment CT contains the point C(−2, 5) and a midpoint at A(1, −3). What is the location of endpoint T? T(4, −11) T(3, −8) T(5, −1) T(−0.5, 1)

Answers

Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C

Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8

Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)

The coordinate for point T would be (4, -11)

Describe the graph of the function at its roots.

f(x) = (x − 2)3(x + 6)2(x + 12)

At x = 2, the graph the x–axis.
A) Crosses
B) Touches

Answers

answers:

Describe the graph of the function at its roots.

f(x) = (x − 2)3(x + 6)2(x + 12)

At x = 2, the graph crosses the x–axis.

At x = −6, the graph touches the x–axis.

At x = −12, the graph crosses the x–axis.

The required solution of the given function, at x = 2 the graph crosses the x-axis.

Given that,
The graph of the function at its roots. f(x) = (x − 2)³(x + 6)²(x + 12)
To discuss At x = 2, the graph is the x-axis.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The graph of the given function f(x) = (x − 2)³(x + 6)²(x + 12) is show,
From the graph, it is found that at x = 2, the graph passes through the x-axis.

Thus, the required solution of the given function, at x = 2 the graph crosses the x-axis.

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A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.



What is the maximum area that can be enclosed by the fencing?

Enter your answer in the box.


ft²

Answers

Let
y------> the length of the rectangle
x-----> the width of the rectangle

we know that
perimeter of the rectangle=2*[x+y]

Since the barn is used as one of the sides (let's say y) we can subtract y
we don't need fencing for this side
That makes the perimeter 2x + y
Since we have 300 feet of fencing
we set these equal:
 2x + y = 300-------> y=(300-2x)------> equation 1

area of the rectangle=x*y
substitute the equation 1 in the area formula
Area=[(300-2x)]*x-----> Area=(-2x²)+300x

This is a quadratic equation
Since the leading coefficient is negative (-2) we know it opens downward 
We are looking for the x-coordinate of the highest point called the vertex

using a graph tool
see the attached figure

the vertex is the point (75,11250)
that means for x=75 (width of the rectangle)

the area is 11250 ft²

the answer is
the maximum area that can be enclosed by the fencing is 11250 ft²


Answer:

The Answer is 11250 ft~

Step-by-step explanation:

I did the test and got it correct

Consuela and her three friends order 2 pizzas. Consuela cuts each pizza into 8 equal slices. She saves 2 slices of pizza for her older brother, Then she and her friends share the rest of the pizza, each eating the same number of slices. What fraction of the 2 pizzas is left over?

Answers

Let
x-------------->  the number of slices eating by Consuela  and her three friends

we know that
[total slices]=8*2=16 slices
[slices of pizza for her older brother]=2
x=16-2=14 slides
Consuela and her friends share the rest of the pizza, each eating the same number of slices---------> 14/4= 3.5 slides of pizza each  (this part is not necessary, but it is shown in a didactic way)

the question is 
What fraction of the 2 pizzas is left over?
[slices of pizza for her older brother]/[total slices]=2/16=1/8

the answer is (1/8)

Final answer:

To find the fraction of the 2 pizzas left over, calculate the total slices consumed and subtract from the total. Consuela and her friends ate 14 slices out of 16, leaving 2/16 or 1/8 of the 2 pizzas left over.

Explanation:

Consuela and her friends ordered 2 pizzas, each cut into 8 slices. Consuela saved 2 slices, then shared the rest equally. Each person ate 2 slices.

To find out what fraction of the 2 pizzas is left over, calculate the total slices consumed and subtract from the total.

Each pizza had 8 slices, so 2 pizzas have 16 slices in total.Consuela saved 2 slices, so she and her friends ate 14 slices in total.Thus, the fraction of the 2 pizzas left over is 2/16 or 1/8.

.help thanks please :)

Answers

the first one, bc=ef

PLZ HELP ME!!A dilation has center (0, 0). Find the image of the point A (-4, 6) for the scale factor 4.5.
A' =
A- (‑18, 27)
B-(0.5, 10.5)
C-(10.5, 0.5)
D-(27, ‑18)

Answers

The only selection that has the coordinates of point A multiplied by 4.5 is

Selection A (-18, 27).

Why are epidemics and pandemics a relatively recent phenomenon in human history?

Answers

For the greater part of man's opportunity on earth, populaces were little, scattered, and subordinate after chasing and assembling. Those infectious diseases that influenced people were either the consequence of unplanned contamination by zoonoses or lethargic contaminations that maybe had developed with people from their primate precursors. It was just because of the rural upheaval 6,000 to 8,000 years back and the resulting development of inactive populaces sufficiently substantial to help microorganisms particularly subordinate upon human has that epidemics and pandemics seem to have moved toward becoming piece of man's life (Cockburn 1963)

If you were offered a job would you choose the one with the pay increase according to an arithmetic sequence formula or a geometric sequence formula? Justify your response.

Answers

I believe it would be the one with the Geometric sequence formula

Final answer:

For maximizing earning potential over time, a geometric sequence salary increase is typically more beneficial due to exponential growth, while an arithmetic sequence offers steady, predictable increases that may appeal to those who value consistency.

Explanation:

If offered a job with a salary increase tied to either an arithmetic sequence or a geometric sequence, the preferable option typically depends on the long-term financial goals and growth potential you are looking for. An arithmetic sequence will give you steady, predictable increases. However, a geometric sequence formula will often result in larger increases over time, especially if the ratio is 2 or more. Due to the exponential nature of a geometric sequence, your salary could grow significantly faster than with an arithmetic sequence. For example, if you start with a salary of $50,000, and the arithmetic sequence increase is $1,000 each year, after five years you would be earning $55,000. On the other hand, for a geometric sequence with a modest ratio of 1.05 (5% increase each year), you would start at the same $50,000 but after five years be earning approximately $63,814.

Considering this, if your primary goal is to maximize earning potential over time, the geometric sequence would be the more appealing option. However, if you value consistency and predictability in pay increases, or if the progression starts very low, an arithmetic sequence might be more in line with your personal financial planning.

Find the value of x. Round the answer to the nearest tenth, if needed.


A.
5.3
B.
15.9
C.
31.7
D.
48.1

Answers

I believe the answer is B

Use the clues to find the mystery number.
It is greater than 37,493.
It is less than 37,503.
It is an even number.
The value of the mystery number rounded to the nearest ten is less than the mystery number.
The value of the mystery number rounded to the nearest thousand is greater than the mystery number.

The mystery number is

Answers

the number is 37,500

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal length is (x + 4) feet, which function can be used to find the shorter side of her lawn?
a.] [tex]s(x)= \sqrt{2x+7} [/tex]
b.] [tex]s(x)= \sqrt{2 x^{2} +14x+25} [/tex]
c.] [tex]s(x)= \sqrt{x^{2} +7x+12} [/tex]
d.] [tex]s(x)= {x^{2} +7x+12} [/tex]

Answers

the answer is the option A

let 
y--------------- > short side 
applying the Pythagorean theorem
(x+4)²=y²+(x+3)²
y²=(x+4)²-(x+3)²-------> x²+8x+16-x²-6x-9=2x+7
y=√(2x+7)

Let us try and solve it analytically. We have that the side=x+3  together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that [tex](x+4)^2=(x+3)^2+s^2[/tex]. This yields [tex]s^2+x^2+6x+9=x^2+8x+16[/tex]
which yields s^2=2x+7, hence a) is the correct answer.

True or false All equilateral triangles are isosceles

Answers

Answer:

  TRUE

Step-by-step explanation:

When all sides are the same length, at least one pair of sides is the same length.

Answer:

the answer is true

Step-by-step explanation:

What is the length of the base of a right triangle with an area of 20 m² and a height of 4 m? A.5 m B.10 m C.80 m D.160 m

Answers

to find the length, follow the equation l(w) = a

l or b = length or base
w or h = width or height
a = area

b x h = a
b x (4) = 20
4b = 20
4b/.4 = 20/4
b = 20/4
b = 5

A. 5m is your answer

hope this helps

Energy resources that exist in limited amounts and, once used, cannot be replaced except over the course of millions of years are called_____energy resources

Answers

They're called nonrenewable energy resources. Hope this helps ^^

Answer: Non- renewable

The energy is derived from various sources on the basis of origin the energy can be derived from the renewable and non-renewable sources of energy. Renewable sources are those, which are abundantly available in nature and they can be replenished after a single use. For example, sunlight energy, wind energy, tidal energy, geothermal energy. But non- renewable sources are those which are available in limited amount hence, are expensive and cannot be replenished once they are used. For example fossil fuels such as coal, petroleum and natural gas. These are the resources which takes millions of years for their formation. Their genesis takes place inside the earth's geosphere under high heat and pressure conditions and by the action of the soil microbes acting upon the dead remains of plants and animals.

On the basis of the above description, energy resources that exist in limited amounts and, once used, cannot be replaced except over the course of millions of years are called non- renewable resources energy resources

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to ? 37 97 126 606

Answers

Answer:

37

Step-by-step explanation:

its 37

The value of a composite function (f•g)(x) at x = 10 is 37 if the function f(x) = x² + 1 and g(x) =x - 4 option (A) 37 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

If f(x) = x² + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?

3797126606

We have a function:

f(x) = x² + 1

g(x) =x - 4

Plug x = 10 in the function g(x)

g(10) = 10- 4

g(10) = 6


Plug the above value in the function f(x)

(f•g)(10) = f(g(10)) = (6)² + 1

(f•g)(10)  = 36 + 1

(f•g)(10)  = 37

Thus, the value of a composite function (f•g)(x) at x = 10 is 37 if the function f(x) = x² + 1 and g(x) =x - 4 option (A) 37 is correct.

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PLEASE help will mark brainliest algebra 2 . ... show your work

Answers

3(x-2) = x + 4 ...............given
3x - 6= x + 4 .................distributive property
2x - 6 = 4 ......................addition property of equality
2x = 10 .........................addition property of equality
x = 5 ..............................division property of equality

Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.

Answers

pi/4 radians  
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
 sqrt(2) = 1/x
 x*sqrt(2) = 1
 x = 1/sqrt(2)
 Let's multiply both numerator and denominator by sqrt(2), so
 x = sqrt(2)/2 
 And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
 45 * (2*pi)/360 = 90*pi/360 = pi/4 
 So your answer is pi/4 radians.

Factor this expression completely and then place the factors in the proper location on the grid. Note:
Place factors alphabetically in the grid! mn - 4 m - 5 n + 20

Answers

First we are going to group the terms that contains the common factor [tex]m[/tex] in one parenthesis, and the other ones in another parenthesis:
[tex]mn-4m-5n+20[/tex]
[tex](mn-4m)-(5n+20)[/tex]
Notice that our the terms in our first parenthesis have a common factor [tex]m[/tex], and the terms in our second one have the common factor [tex]5[/tex]. Lets factor those out:
[tex]m(n-4)-5(n-4)[/tex]
Now we have a common factor [tex](n-4)[/tex] in both terms, so we can factor those out as well:
[tex](n-4)(m-5)[/tex]

We can conclude that the completely factored expression ordered alphabetically is [tex](m-5)(n-4)[/tex].

What’s the answer to this problem???

Answers

rewrite the equation into slope intercept form:
8y = -5x+16

divide everything by 8 to get just y
y = -5/8x+2

 the slope = -5/8

PLZZ HELP ME I WILL GIVE YOU THE BRAINLESS PERSON I GIVE YOU 12PTS

Please describe in detail using your vocabulary terms, directions, and the number of steps to explain how the pre-image became the image in this picture. Type your answer in a word document and upload it to this dropbox for me to grade. (5 pts)

Answers

From the pre-image, the pentagon is reflected across the Y axis. From the second pentagon that was reflected across the Y axis is another reflection across the X axis.

A reflection across an axis is when the image is flipped over that axis that is mentioned. This is happening two times starting with the original. First it crosses the Y axis which will be flipping it to the left. The X values in the original ordered pair would all be the opposite of the original.

Then it is reflected across the X axis which would be flipping it down. This time the y values end of the ordered pair would all be the opposite from the previous figure.
Final answer:

The pre-image becomes the image in a picture through transformations such as translation, rotation, reflection, or dilation.

Explanation:

The pre-image is the original figure before any transformations. The image is the new figure after a transformation has been applied to the pre-image. In this picture, the pre-image became the image through translation, rotation, reflection, or dilation.

Translation: The pre-image is moved in a specific direction without changing its shape or size.Rotation: The pre-image is turned around a fixed point by a certain angle.Reflection: The pre-image is flipped across a line to create the image.Dilation: The pre-image is either enlarged or reduced in size.

By applying one or more of these transformations to the pre-image, it can become the image in the picture.

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How to tell if a scatter plot is positive or negative or no ttend?

Answers

If the dots are going to the right, it's positive. If they're going to the left, they're negative.
And if the dots are both sides, there is no trend.

helppppppppppppppppppppppppppppppp

Answers

We write the expression:
 ((2 ^ (1/2)) * (2 ^ (3/4))) ^ 2
 We use for this case the properties of lso exponents:
 ((2 ^ (1/2)) * (2 ^ (3/4))) ^ 2
 ((2 ^ (2/2)) * (2 ^ (6/4)))
 ((2 ^ (1)) * (2 ^ (3/2)))
 ((2 ^ (1 + 3/2))
 ((2 ^ (5/2))
 answer:
 ((2 ^ (5/2))
 option 2

PLEASE HELP
I WILL GIVE BRAINILEST

Daniel, a 37-year-old male, bought a $160,000, 10-year life insurance policy. What is Daniel’s annual premium? Use the table.
$611.20
$728.00
$1268.80
$1652.80

Answers

Firstly, you need to identify which parts of the table you should look at:
Male, 35-39, 10-year
The figure in this category shows $4.55, telling us that the annual premium per $1000 of coverage is $4.55.
Daniel bought $160,000 worth of life insurance, so that is 160 one-thousands.
So, we multiply the annual premium per $1000 ($4.55 as identified) by 160 to give us our answer:
4.55×160= $728
Therefore, the answer is $728

Answer:

the answer is b 728

Step-by-step explanation:

Rowan raised $640 In a charity walk last year.this year he raised 15% more than he raised last year. How much money did Rowan raise this year?

Answers

Compute 115% of $640

1.15 × $640 = $736

$394.63781 Round to the nearest dollar

Answers

Hello,

Here is your answer:

The proper answer to your question is "$390.00

Here is how:

394.63781=$390

Your answer is $390!

If you need anymore help feel free to ask me!

Hope this helps!
$395 would be your answer
.6 is higher than .4 so the dollar amount would go up one.
hope this helps

El Generico public high school got a new flagpole. But they completely forgot to buy a cord and NO ONE knows how tall the flagpole is! To find out, they decided to use similar figures! As the sun was setting, Bob the janitor set up a 5-foot stick next to the flagpole and compared shadows. The 5-foot stick cast an 8-foot shadow. The shadow of the flagpole was 32-feet long.

Use rules of similar polygons to figure out how tall the flagpole is!

Answers

According to the rule of similar polygons the ratio of corresponding sides of two polygons will be the same. So in this case the ratio of original length and shadow of a stick and ratio of length of flagpole and its shadow will be the same.

Length of Stick = 5 feet
Shadow of Stick = 8 feet
Shadow of flagpole = 32 feet
Length of flagpole = x = ? 

Using rule of similar polygon we can write,

[tex] \frac{5}{8}= \frac{x}{32} \\ \\ \frac{5}{8}*32=x \\ \\ x=20 [/tex]

Therefore, the length of flagpole will be 20 feet.



You are reducing a map of dimensions 2 ft by 3 ft to fit on a piece of paper 8 in. by 10 in. what are the dimensions of the largest possible map that can fit on the page?

Answers

Answer:

The dimensions of the largest possible map that can fit on the page are 10 inches by [tex]6\frac{2}{3}[/tex] inches.

Step-by-step explanation:

You are reducing a map of dimensions 2 ft by 3 ft

Lets change them to inches.

1 foot = 12 inches

So, 2 feet = [tex]2\times12=24[/tex] inches

3 feet = [tex]3\times12=36[/tex] inches

So, dimensions are : 24 inches x 36 inches

[tex]\frac{24}{36}=\frac{2}{3}[/tex]

Since 10 inch will be the longer side, we can find the shorter side by :

[tex]\frac{x}{10}=\frac{2}{3}[/tex]

[tex]3x=20[/tex]

[tex]x=\frac{20}{3}[/tex]

or [tex]x=6\frac{2}{3}[/tex] inches

So, the dimensions of the largest possible map that can fit on the page are 10 inches by [tex]6\frac{2}{3}[/tex] inches.

The dimension of the largest possible map which can fit on the paper can be used is [tex] 6\frac{2}{3} \: inches \: by \: 10 \: inches [/tex]

Map dimension = 2 feets by 3 feets

Area of paper = 8in by 10in

Converting the map dimension to inches :

1 feet = 12 inches

2 feets = 2 × 12 = 24 inches

3 feets = 3 × 12 = 36 inches

Scale factor = 24 / 36 = 2/3

Longer side of the paper = 10 inches

Using the scale to obtain the length of the shorter side :

2/3 = x/10

Cross multiply

3x = 2 × 10

3x = 20

x = (20 ÷ 3)

x = 6 2/3 inches

The dimension of the largest possible map would be [tex] 6\frac{2}{3} \: inches \: by \: 10 \: inches [/tex]

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Given: line segment AB is 10 inches long. Find the length of A'B' if AB is dilated to form A'B' with a scale factor of 1 2 . A) 1 2 inches B) 5 inches C) 10 inches D) 20 inches

Answers

ANSWER

[tex]|A'B'| = 5 \: units[/tex]



EXPLANATION

The formula for calculating the scale factor is


[tex]k = \frac{image \: length}{object \: length} [/tex]
Or

[tex]k = \frac{ |A'B'| }{ |AB|} [/tex]




Where k is the scale factor.



We were given
[tex] |A'B'|=10[/tex]


This is the image length.


We substitute the scale factor and the image length in to the formula to get,



[tex] \frac{1}{2} = \frac{ |A'B'| }{ 10} [/tex]
Multiply both sides by 10 to get,



[tex] \frac{1}{2}\times 10= |A'B'|[/tex]



[tex]|A'B'| = 5 \: units[/tex]

Answer:

Option (b) is correct.

The length of  A'B'  is 5 inches.

Step-by-step explanation:

Given : line segment AB is 10 inches long. AB is dilated to form A'B' with a scale factor of [tex]\frac{1}{2}[/tex]

we have to find the length of  A'B'

Dilation of a figure is the increase or decrease in the length of the figure by a fixed scaling factor.  if scaling factor is greater than 1 , then figure size increases, and if  scaling factor is less than 1 , then figure size decreases.

Here, scaling factor is  [tex]\frac{1}{2}[/tex] which less than 1 , so line segment A'B' decreases.

New image = scaling factor × original image

that is A'B' = [tex]\frac{1}{2}\times 10=5[/tex]

Thus, the length of  A'B'  is 5 inches.

Option (b) is correct.

You bought 8 gumdrops for 2¢ apiece. For the same amount of money, how many gumdrops can you buy at 8¢ apiece? gumdrops

Answers

Final answer:

You can buy 32 gumdrops at 8¢ apiece for the same amount of money as buying 8 gumdrops at 2¢ apiece.

Explanation:

To find out how many gumdrops you can buy at 8¢ apiece for the same amount of money as buying 8 gumdrops at 2¢ apiece, you need to compare the prices and calculate the equivalent quantity. Since the prices are different, you can set up a proportion to solve the problem:



2¢ / 8 = 8¢ / x



By cross-multiplying, you get:



2 * x = 8 * 8



Now, solve for x to find the number of gumdrops you can buy at 8¢ apiece:



x = (8 * 8) / 2



x = 32



Therefore, you can buy 32 gumdrops at 8¢ apiece for the same amount of money as buying 8 gumdrops at 2¢ apiece.

Final answer:

To find out how many gumdrops you can buy at 8¢ apiece for the same amount of money you spent on 8 gumdrops at 2¢ apiece, divide the total amount of money by the new price.

Explanation:

To find out how many gumdrops you can buy at 8¢ apiece for the same amount of money you spent on 8 gumdrops at 2¢ apiece, divide the total amount of money by the new price:

Total amount of money = 8 gumdrops x 2¢ apiece = 16¢

Number of gumdrops you can buy at 8¢ apiece = Total amount of money / 8¢

Number of gumdrops you can buy = 16¢ / 8¢ = 2 gumdrops

So, for the same amount of money, you can buy 2 gumdrops at 8¢ apiece.

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