The temperature in a town is 36.6F during the day and -12.6F at night what is the temperature change from day to night
The temperature changes by 49.2F from day to night. You calculate this by subtracting the night temperature from the day temperature and remembering to treat subtraction of a negative as addition.
Explanation:The subject of your question is the calculation of temperature change, which is a simple subtraction problem in mathematics. Given a temperature of 36.6F during the day and a temperature of -12.6F at night, you can find the temperature change by subtracting the night temperature from the day temperature.
So, it will be 36.6F - (-12.6F) equals 49.2F. It's important to note here that subtracting a negative number is the same as adding a positive number which is why we add 12.6F instead of subtracting it.
This means, the temperature changes by 49.2F from day to night.
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A group of students is counting the number of plastic bags placed in a landfill during a single day .What are the students doing?
A)collecting data
B)Drawing a conclusion
C)Stating a problem
D)Making a hypothesis
Answer:
A
Step-by-step explanation:
∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 .
What is the value of x?
Answer: 11
Step-by-step explanation:
We are given that ∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 .
We know that vertical angles are congruent, then their measures must be equal.
i.e. if ∠E and ∠F are vertical angles.
⇒ m∠E=m∠F
[tex]\Rightarrow\ 5x+10=7x-12[/tex] [Substitute the measures of ∠E and ∠F]
Subtract 5x from both sides , we get
[tex]10=2x-12[/tex]
Add 12 on both sides , we get
[tex]22=2x[/tex]
Divide both sides by 2 , we get
[tex]11=x[/tex] or x=11
Hence, the value of x= 11
1. A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work. (Will get brainiest if you show all work)
So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked
We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200
so now we have to solve for h (number of hours worked):
15h =< 200
(divide both sides by 15)
h =< 13 1/3
So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.
Hope this helps! :)
Eli took the fleet of 8 vans for oil changes. All of the vans needed windshield wipers which cost $24 per van. The total bill was $432. Write an equation to find out what oil change cost . Solve the equation
Convert 30 feet per second to miles per minute.
5280 ft = 1 mi
Round to the nearest hundredth.
We know that:
1 mile = 5280 ft
1 minute = 60 sec
Therefore to convert this we simply use the conversion factors:
(30 ft / s) * (60 s / 1 min) * (1 mi / 5280 ft) = 0.34 mi / min
So we got 0.34 miles per minute.
find the slope and y-intercept of the line that is parallel to y=-x-1 and passes through the point (5,-5)
Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure of each angle.
The measure of the smaller angle is 77 degrees, and the measure of the larger angle is 103 degrees.
Explanation:Let's represent the measure of the smaller angle as x degrees. Since the measure of one angle is 26 degrees greater than the other angle, the measure of the larger angle can be represented as x + 26 degrees.
According to the definition of a linear pair, the sum of the measures of two angles forming a linear pair is always 180 degrees. So we can write the equation:
x + (x + 26) = 180
Solving this equation, we get: 2x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
Therefore, the smaller angle measures 77 degrees and the larger angle measures 77 + 26 = 103 degrees.
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Long division 112 divided by 10 please show working out
On a farm, there are 20 fewer cows than twice the number of pigs. If there are 50 cows, how many pigs are there? Write a two step equation to model the scenario and answer it.
When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?
Sari has 3 times as many pencils as sam.together they have 28 pencils how many more pencils does sari have
Name two congruent angles that measure 15
A national achievement test is administered annually to 3rd graders. the test has a mean score of 100 and a standard deviation of 15. if jane's z-score is 1.20, what was her score on the test?
Answer:
118.
Step-by-step explanation:
To find Jane's score on the national achievement test with a given mean of 100 and standard deviation of 15, we calculate it using her z-score of 1.20 to get her score of 118.
Explanation:The question asks: A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test.
To find Jane score on the test, we use the formula for calculating scores from z-scores: Score = Mean + (Z-score × Standard Deviation).
Given that the mean is 100 and the standard deviation is 15, and Jane's z-score is 1.20, we can calculate her score as follows:
Score = 100 + (1.20 × 15)Score = 100 + 18Score = 118Therefore, Jane's score on the national achievement test was 118.
Suppose that there are three astronauts outside a spaceship and they decide to play catch. all the astronauts weigh the same on earth and are equally strong. the first astronaut throws the second one toward the third one and the game begins. describe the motion of the astronauts as the game proceeds. how long will the game last?
Which expression is equal to 2−√ 32 ?
8i√2
−8√2
8√2i
−8i√2
Answer:
A. [tex]8i\sqrt{2}[/tex]
Step-by-step explanation:
We have been given a radical expression [tex]2\sqrt{-32}[/tex]. We are asked to find equivalent expression to our given expression.
Using radical rule [tex]\sqrt{-a}=\sqrt{-1}\cdot \sqrt{a}[/tex], we can write [tex]\sqrt{-32}[/tex] as product of [tex]\sqrt{-1}\cdot\sqrt{32}[/tex].
[tex]2\sqrt{-32}=2\cdot \sqrt{-1}\cdot\sqrt{32}[/tex]
Substitute [tex]\sqrt{-1}=i[/tex]:
[tex]2\sqrt{-32}=2i\cdot\sqrt{32}[/tex]
[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 16}[/tex]
[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 4^2}[/tex]
[tex]2\sqrt{-32}=2*4i\cdot\sqrt{2}[/tex]
[tex]2\sqrt{-32}=8i\sqrt{2}[/tex]
Therefore, the equivalent expression would be [tex]8i\sqrt{2}[/tex].
The expression which is equal to 2√-32 is; 8i√2
According to the question, we have been given the radical expression; 2√-32
First, the expression can be evaluated as follows;
=2√-32= 2√-1 × 32We must recall that, In complex numbers, √-1 = i.
= 2i√32= 2i√16 ×2= 8i√2Therefore, the expression which is equal to 2√- 32 is:. 8i√2
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round to the nearest tenth.
Write the equation of a line that has a slope 1/3 and y-intercept 4.
In slope-intercept form, y = (1/3)x + 4 can be used to represent the equation of a line with a slope of 1/3 and a y-intercept of 4.
Explanation:In mathematics particularly in algebra, the equation of a line is usually formulated in the slope-intercept form, which is y = mx + b. Where m is the slope of the line and b is the y-intercept. For a line with a slope of 1/3 and y-intercept of 4, you would substitute 1/3 for m and 4 for b. Therefore, the equation of the line would be y = (1/3)x + 4
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Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How long will it take her to save enough money to buy the bike?
Imagine that last night you saw the star betelgeuse just starting to rise on your eastern horizon at 7:15 pm. at 7:15 pm tonight, will betelgeuse be above, below, or exactly on your eastern horizon?
Final answer:
Betelgeuse will be either just above the horizon or at virtually the same position on the eastern horizon at 7:15 pm the next day, as stars like Betelgeuse rise in the east and set in the west, completing a rotation around the celestial sphere in about 24 hours.
Explanation:
The question pertains to the observation of the star Betelgeuse and its position relative to the horizon at a specific time from one day to the next. Since most stars rise in the east and set in the west, completing one full rotation around the celestial sphere in approximately 24 hours, we can infer that Betelgeuse will follow a similar path. However, due to Earth's rotation, any given star will appear to rise and set four minutes earlier each night, due to the Earth’s orbit around the Sun completing an extra degree each day. This might suggest that Betelgeuse would be slightly above the horizon at 7:15 pm the following night. Yet, the student should be aware that this four-minute difference can be negligible, and for practical observing purposes, Betelgeuse will be seen rising at virtually the same time, hence nearly at the same position on the horizon.
ax+2xy=14 solving for y
Answer:
[tex]y=\dfrac{14-Ax}{2x}[/tex]
Step-by-step explanation:
The given expression is :
[tex]Ax+2xy=14[/tex].............(1)
We need to find the value of y. Subtracting "Ax" on both sides of equation (1) as :
[tex]Ax-Ax+2xy=14-ax[/tex]
[tex]2xy=14-Ax[/tex]
Dividing both sides of above equation by "2x" as :
[tex]\dfrac{2xy}{2x}=\dfrac{14-Ax}{2x}[/tex]
[tex]y=\dfrac{14-Ax}{2x}[/tex]
So, the value of y is, [tex]y=\dfrac{14-Ax}{2x}[/tex]. Hence, this is the required solution.
Please help with this question: A brick company guarantees to fill a contractor's order to within 5% accuracy. A contractor orders 1,500 bricks. Please write and solve an absolute-value equation to find the maximum and minimum number of bricks guaranteed.
Given: f(x)=x²-3 and g(x)=x+1. What is the composite function gOf?
1. x²+2x-2
2. x²+2x-2
3. x²-2
For two given functions f(x) and g(x), the composite function
(g ° f)(x) is: g(f(x))
Here we will find that the correct option is the last one:
(g°f)(x) = x²-2
To get this, we know that:
g(x) = x + 1
f(x) = x² - 3
Then:
(g°f)(x) = g(f(x))
So here we just need to evaluate g(x) in f(x):
g(f(x)) = f(x) + 1 = ( x² - 3) + 1 = x² - 3 + 1 = x² - 2
Then the correct option is 3:
(g°f)(x) = x²-2
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Which is the best estimate of -14 1/9 (-2 9/10)
Simplify square root of 5 plus the square root of 125 plus 25. I don't understand. Can someone please help me?
Andreas invested $1000 in savings account. After 4 years, the account had earned a total of $112 simple interest without any additional deposits. What was his interest rate.
What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics
Answer: The correct option is (D) [tex]9x^2-12y^2-11x.[/tex]
Step-by-step explanation: We are given to find the following sum of the polynomials :
[tex]S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.
The sum of the polynomials in (i) is as follows :
[tex]S\\\\=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9y^2-4x+x^2-3y^2-7x\\\\=(8+1)x^2-(9+3)y^2-(4+7)x\\\\=9x^2-12y^2-11x.[/tex]
Thus, the required sum of the polynomials is [tex]9x^2-12y^2-11x.[/tex]
Option (D) is CORRECT.
A builder wants to build a diagonal beam across a decorative window. If the window is 3 feet by 5 feet, then to the nearest hundredth, how long is the diagonal?
Answer:
12 square feet
Step-by-step explanation:
Kim has small wooden cube shaped blocks. To make the next size cube, she needs 8 blocks. Write a sequence to show the number of blocks needed for each increasingly larger cube. Include at least 6 terms in the sequence.
How do I find the domain of a function
The domain of a function is the set of all possible input values that can be inserted into the function. The domain can be numerical or non-numerical, depending on what the function describes.
Explanation:In mathematics, finding the domain of a function involves identifying all possible values that can be inserted into the function. A function's domain can be a set of numerical values or a set of non-numerical values.
For example, if we have a function based on majors at a university, the domain could take form as X = {English, Mathematics, ...}, i.e., a list of all the majors offered at the university, plus undeclared, which are all possible inputs into the function.
Similarly, if we have a random variable X = hair color, then the domain of X would include all possible hair colors.
If the function is based on numerical variables, such as a Quadratic Function, the domain would be the set of all real numbers. For instance, the domain of Y = {0, 1, 2, ...} consists of the integers from zero up to a certain limit. Generally, the domain of a function is the set of all possible input values that will produce a value in the function.
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