PLEASE ANSWER IF YOU CAN!
The table shows the lowest temperatures of several cities.
(a) Plot and label the temperature of each city on a vertical number line.
(b) Calculate the temperature difference between each pair of cities. Organize your results in a table.
Answers
Part B:
Smithon to Hedgeborough: 2.5
Smithon to East Bunting: 3
Hedgeborough to East Bunting: -0.6
Related Questions
Estimated tax on tires that cost $498 with a 6.25% sales tax
Answers
0.0625($498) = answer
Pre-Cal Help!! (Image Attached)
Answers
Check the picture.
For the moment let [tex]\displaystyle{ \cos\theta= \frac{8}{17} [/tex] (we make it positive since we are modeling using a triangle.)
Using the Pythagorean theorem, the length of the side opposite to angle [tex]\theta[/tex] is found to be 15 units.
We can see that the sine of theta is [tex]\displaystyle{ \sin\theta= \frac{opposite \ side}{hypotenuse}= \frac{15}{17} [/tex].
In the third quadrant, both sine and cosine of an angle are negative, so the actual values of the sine and cosine of theta are, eventually:
[tex]\displaystyle{ \sin\theta=- \frac{15}{17} [/tex], [tex]\displaystyle{ \cos\theta=- \frac{8}{17} [/tex].
Recall the double-angle identities (formulas):
[tex]\sin 2\theta=2\sin\theta\cos\theta[/tex], [tex]\cos2\theta=cos^2(\theta)-sin^2(\theta)[/tex].
Using these identities and the ratios found above, we have:
[tex]\displaystyle{ \cos2\theta=cos^2(\theta)-sin^2(\theta)=(- \frac{8}{17})^2-(- \frac{15}{17})^2=\frac{64}{289}-\frac{225}{289}=\frac{-161}{289}[/tex]
Similarly, applying the double angle formula for the sine we have:
[tex]\displaystyle{ \sin 2\theta=2\sin\theta\cos\theta=2\cdot(- \frac{8}{17})(- \frac{15}{17})=\frac{240}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= \frac{\sin 2\theta}{\cos 2\theta}= \frac{\frac{240}{289}}{\frac{-161}{289}}= -\frac{240}{161} [/tex]
Answer:
[tex]\displaystyle{\cos2\theta=\frac{-161}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= -\frac{240}{161}[/tex]
Write each number in standard form
9.03 x 10²
7.89 x 10³
4.115 x 10⁵
Answers
7.89x1000
4.115x100000
Nina wants to download games for her video game console. Older games cost $500 points and new releases cost 2000 points. Nina has 20,000 points to use. The equation 500a+2000b=20,000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads one new game? Four games?
Answers
(20000-2000)/500=36
(20000-8000)/500=24
A rectangular swimming pool has a volume of 2160 cubic feet. Water is being added to pool at a rate of about 20 cubic feet per minute. Use an equation in point-slope form to determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool. Use the fact that 1 cubic foot of space holds about 7.5 gallons of water.
Answers
-> there is already 160 cubic ft. of water
y=20x+160
-> this is the equation
2160=20x+160
2000=20x
100=x
you need 100 cubic ft. more to finish filling the pool
Write two expressions that represent 3/12
Answers
Translate the expression into a word phrase. k + 12 A. a number less than 12 B. 12 more than a number C. the product of a number and 12 D. the quotient of a number and 12 im sucky ;-;
Answers
when you use the word "more than" it means addition. when you use the word "less than" it means subtraction. when you use the word "product of" it means multiplication. when you use "quotient of" it mean division.
hope that helps, God bless!
The amount or money you earn at your job varies directly with the number of hours you work. How many hours will you need to work to earn $145 if you earn $21.75 for 3 hours?
Answers
If money you earn at your job varies directly with the number of hours you work. Then 20 hours will you need to work to earn $145 if you earn $21.75 for 3 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Amount or money you earn at your job varies directly with the number of hours you work
One can earn $21.75 for 3 hours
We need to find how many hours taken to earn $145.
To find this we form an equation.
Let x be the number of hours to earn 145
21.75/3=145/x
Apply cross multiplication
21.75x=3×145
21.75x=435
Divide both sides by 21.75
x=20
Hence, it took 20 hours to earn $145.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
Evaluate (1/4)^—2-(5^0x 2)x1^-1
Answers
Also, your x 2 should be written x^2 (the square of x).
But maybe that's not what you meant!
Your apparent use of "x" to indicate "multiply" makes things harder and more confusing. Please use " * " ONLY to denote multiplication.
Let's try again. Here's what I think I see:
(1/4)^(-2) - 1*2*1^(-1) and here is the evaluation:
16 - 2 = 32
Practice typing in expressions like these and then try to get some critique from your teacher regarding where you are correct and where you are not.
Ninety-one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach link correct?
Answers
Answer: he is not right
what is the absolute value of -5
Answers
Answer: +5
Explanation: When a problem is asking us to find the absolute value of a number, it's really asking us how far is that number from zero.
So the absolute value of -5 is really asking us
how far is -5 away from zero on a number line.
I have drawn a number line below and you can see that -5
is 5 units to the left of zero which means its 5 units from zero.
So the absolute value of -5 is +5.
the value of 9 in 901,532 is how many times the value of the 9 in 157,900?
Answers
the value of 9 in 157,900 = 900
to find out how many times greater, we must divide
900,000 / 900 = 1000
so it is 1000 times greater <==
what property allows you to conclude that 5x+7x=12x
Answers
Hope this helps
the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value
Answers
Simplify 4x^2+36/4x multiply 1/5x
Answers
------------
5
29x^2 / 5
NEED HELP ASAP THANKS
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
x = __________________ ft
Numerical Answers Expected! Answer for Blank 1:
Answers
Area of rectangle is : length × width
Area of triangle : 1/2 × base × height
So...
6x + (1/2 × 4 × 6) = 150
6x + 12 = 150
6x = 138
x = 23
The maximum length of the base of the rectangle he can build is 23 feet.
the question is in the picture below
Answers
A change in x of 2 from one row to the next gives a change in y of 6. For example, changing x from -3 to -1 gives a change in y from -8 to -2. Then the slope is
... slope = ∆y/∆x = 6/2 = 3 . . . . . the coefficient of x
Now, you can pick any row of the table to determine what the intercept value must be. For example, choosing x = 1, we have
... 4 = 3×1 + intercept
... 1 = intercept . . . . . . . subtract 3 from both sides of the equation
Now, you know your equation is
... y = 3x + 1
_____
Since this is a linear equation, the y-intercept at x=0 will be halfway betweeen the value of y at x=-1 and the value of y at x=1. That is (-2+4)/2 = 1, in agreement with our calculation above.
What comes next simplify 31/50,17/25,37/50,4/5,...
Answers
43/50
31/50=0,62
17/25=0,68(0,06 more)
37/50=0,74(0,06 more)
4/5=0,8(0,06 more)
43/50=0,86(0,06 more)
Next decimal should be 0,86
You need to find a fraction from the decimal 0,86
0,86=86/100=43/50
Ryan made 3/4 of a gallon of lemonade. Each glass holds 1/8 of a gallon of lemonade. How many glasses can Ryan fill?
Answers
3/4=6/8
1/8= one glass
So since there is 6/8 of a gallon, there would be 6 glasses.
6 Glasses Ryan can made.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ryan made 3/4 of a gallon of lemonade.
Each glass holds 1/8 of a gallon of lemonade.
so, the number of glasses of Ryan made
= (3/4)/ (1/8)
= 3/4 x 8
= 3 x 2
= 6
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ6
Which number is not in scientific notation? 1.10 ⋅ 103 4.0 ⋅ 1016 7.03 ⋅ 10−2 350 ⋅ 102
Answers
Order the numbers from least to greatest. 2.1,−6/10,−9/4,−0.75, 5/3
Answers
-9/4, -0.75, -6/10, 5/3, 2.1
This is because -9/4 is equivalent to -2 1/4, which is less than all of the other numbers. -6/10 (-0.6) is greater than -0.75. 5/3 is less than 2, so it is not greater than 2.1.
if fifty cents is divided equally among three friends there will be some cents left how many cents will be left
Answers
This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)
50/3=16.6667
We have to round down in order to get a whole number: 16
16*3=48
50-48=2
If 50 cents is divided equally among three friends, each would get 16 cents and there would be 2 cents left over.
Hope this helps.
-Benjamin
Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1
Answers
= 6x(3x - 2) - 1(3x - 2)
= (6x - 1)(3x - 2)
The answer is a) 3x - 2
The expression (3x - 2) is a factor of the given expression 18x² - 12x - 3x + 2. The correct answer would be an option (A).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
18x² - 12x - 3x + 2
We have to determine the factor of the given expression.
As per the question, we have
18x² - 12x - 3x + 2
Factor out the above expression, and we get
6x(3x - 2) - 1(3x - 2)
(6x - 1)(3x - 2)
Thus, the expression (3x - 2) is a factor of the given expression.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ6
original price: $325.50; Markdown; 15%
Answers
325.5 - 48.825 = 276.68 (rounded)
The Markdown price is $276.67
Hope this helps!
42 students and 6 faculty members at Byrd Middle school chose to retake their school pics .these #'s represent 1/12 of the students and 1/6 of the fuculty .what is the combined # of students and faculty members
Answers
Let s = # of students and f = # of faculty. We want to find s + f.
(1/12)s = 42. Mult. both sides by 12, we get s = 504.
(1/6)f = 6. Mult. both sides by 6, we get f = 36.
Then the total # of faculty and students combined is 504+36 = 540 (ans.)
How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)
Answers
2000
x
3
-6000 1/4 of 2000= 500 6000
+
500
________________
6500Lbs
Answer:
The correct answer is C ( 5500 )
Step-by-step explanation:
I pressed that on my test it was correct and the only options were
(A) 4075 ^_______________ \
(B) 5000 /
(C) 5505 <------------------------------------------------------ /
(D) 5575
THAT IS THE CORRECT ANSWER
(5 x 8) x (5 x 8) = ___ squared
Answers
40×40
1,600
What is 69,000 rounded to the nearest hundred
Answers
Hope this Helps
What is 69,000 rounded to the nearest hundred?
To round to the nearest hundred, you need to know whether the number next to hundred's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.
69,000 → The number 0 is in the hundred's place. Zero has no value so thus you will be rounding down.
69,000 ≈ 69,000.
Hope I helped (:
Have a great day!
A number is42,300 when you multiplied by 10. Find the product of this number and 500
Answers
I need to know how to write this as a decimal with all the steps and everything plzz