Answer:
T(3) = -23°C
Step-by-step explanation:
Constant Rate of Change
Given an initial condition of a variable T, To and a constant rate of change m, it's possible to write a model to predict the value of T in time t:
[tex]T(t)=T_o+mt[/tex]
The initial temperature the scientist measures of a chemical solution is To=-14.06°C.
It's known the temperature decreases at a constant rate of -2.9°C each hour, thus the model is:
[tex]T(t)=-14.06-2.9t[/tex]
Evaluating at t=3 hours:
[tex]T(3)=-14.06-2.9\cdot 3[/tex]
[tex]T(3)=-14.06-8.7[/tex]
T(3) = -22.76°C
Rounding to the nearest whole degree:
T(3) = -23°C
ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage
Answer:
70%
Step-by-step explanation:
(56/80) * 100
0.7 * 100
70%
PLEASE HELP DUE TODAY TOOOO!!!!
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation:
The graph of which of the following equations contains the points (2,3) and (3,2)
Answer:
[tex] y = 5 - x [/tex]
Step-by-step explanation:
The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.
Slope of the line running through (2, 3) and (3, 2):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1 [/tex].
Slope (m) = -1.
The equation, [tex] y = 5 - x [/tex] , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is [tex] y = 5 - x [/tex].
can you explain this question please
Answer:
B
Step-by-step explanation:
θ and B are corresponding angles
Each is in the same position ( upper right hand corner ) in its group of four angles.
HELP I DON'T WANNA GET THIS ONE WRONG
Which letter has rotational symmetry?
A. Q
B. H
C. G
D. A
Answer: (B). H
Step-by-step explanation:
Got it ?
The equation of a horizontal line through (5,2) in slope-intercept form ?
Answer:
y=2 is the correct answer:)
Step-by-step explanation:
Graph this function using intercepts:
18x–42y=1,260
Answer: 260 on graph
Step-by-step explanation: 18x - 42y = 1
Nina works at Sweet Smoothies. She uses 3/4 of a cup of crushed ice in each smoothie. When Nina starts her
shift, there are 24 cups of crushed ice in the ice maker. How many smoothies can she make with thatice
Answer:
32
Step-by-step explanation:
solve for x for both of these plssss i need help
Answer:
top one is -7
bottom one is -3
Step-by-step explanation:
3. Fiona opened a retirement account that has an annual yield of 6%. She is planning on retiring in 20 years. How much must she deposit into that account each year so that she can have a total of $600,000 by the time she retires?
Fiona must deposit $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The present value of an annuity is:
PV = PMT x [(1 - (1 + r)⁻ⁿ) / r]
Where PV is the present value,
PMT is the periodic payment
r is the interest rate per period (6% per year), and
n is the number of periods (20 years).
We want to find PMT, so we can rearrange the formula to solve for it:
PMT = PV x [r / (1 - (1 + r)⁻ⁿ)]
We know that PV is $600,000, r is 6% or 0.06, and n is 20.
Plugging these values into the formula, we get:
PMT = $600,000 x [0.06 / (1 - (1 + 0.06)⁻²⁰)]
PMT ≈ $18,277.65
Therefore, Fiona must deposit $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.
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A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.
Answer:
Step-by-step explanation:
3 chaperones for every 24 students or 3:24
so that would be 1 chaperone for every 8 students
Explain the meaning of the point (1,1.5) in terms of the situation.
Answer:
there will be 1.5 table spoons of olive oil for every 1 tablespoon of vineagar
Step-by-step explanation:
IK this is simple math but I need help.
Answer:
C
Step-by-step explanation:
[tex]60*2 = 120[/tex]
[tex]60*3=180[/tex]
[tex]60*4=240[/tex]
Solve for x.
Please.
distribute -4(5x ²-2x).
Answer:
-20x^2+8x
Step-by-step explanation:
That is -20x squared by the way
You’re welcome :)
Which mixed number is equivalent to twenty nine thirds?
Answer:
9 2/3
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
9 2/3
Yesterday, between noon and midnight, the temperature went down by 32.1°F. If the temperature was -6.6°F at midnight, what was it at noon?
Answer:
25.5°F
Step-by-step explanation:
²3¹¹2.¹1
6.6 - Bold means that its supposed to have a strikethrough 2 5.5 meaning the number is being cancelled
just take 6.6 away from 32.1
What is the first step to evaluate 33 + 46 – 14?
Answer:
You would add 33 and 46 together to get 79.
Then you would do 79-14 and get 65 as the total answer
Step-by-step explanation:
Answer:
Addition
Step-by-step explanation:
You use Order of Operations or PEMDAS (parenthesis, exponents, multiplication, division (left to right), addition, subtraction (left to right)).
Someone please answer its due by midnight
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.
I hope this helps :)
YOU GET BRAINLIEST IF CORRECT!!!!!
It's really easy to solve this problem all you have to do is long division with 4,274 and 51.
4,274 divided by 51 is = to 83 but it still has decimals leftovers meaning there would be a remainder and since we already found out 81 is part of the answer we know it won't be 91 and it has to be 83 with a remainder!
Someone plz help me
Round each of these numbers to the degree of accuracy shown in the brackets
a) 4865
(Nearest ten)
Answer:
irst, 4865 rounded to the nearest ten is:
4870
Step-by-step explanation:
Here we will tell you what 4865 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 4865.
When rounding to the nearest ten, like we did with 4865 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
A chair cost $250 last year and $175 this year by what percent did the price decrease?
Answer:
I believe it is 50% decreased, not sure
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
in order to find the percentage of the price decrease,we must find the difference between the prices
250-175=75
the price has dropped 75$
to find the percentage, we do 75/250
which can be simplified to 3/10 or 30%
We can check this by finding 30% of 250 which is 75
75=75
Find the Slope and Y Intercept of the equation of a line: y = 14x + 21.
Write your answer without using variables, decimals, or exponents.
Heather needs to buy some pencils . Brand A has a pack of 24 pencils for $4.48 . Brand B has a pack of 36 pencils for $6.24
PLZ PLZ PLZ help will give brainliest!
Answer:kenny didnt find the real factor next to y and x and he swerved past the axis
Step-by-step explanation:
B. Solve the problem:
Mrs. Reyna is planning to fence her vacant lot for a parking space. The desired length of the lot is 6 m longer than its width. What will be the possible dimensions of the rectangular parking space if it should be less than 40m2?
(Hint: length x width = Area of rectangle)
Answer:
Step-by-step explanation:
Given
Area of the rectangle =Length × width
Given
The desired length of the lot is 6 m longer than its width, then L = 6+W
A = LW
40 = (6+W)W
40= 6W+W²
W²+6W -40 = 0
W²+10W-4W-40 = 0
W(w+10)-4(w+10) = 0
W+10 = 0 and w-4 = 4
W = -10 and w = 4
Width can't be negative
W = 4m
Since L = 6+w
L = 6+4
L = 10m
Hence the possible dimension s 4m by 10m
In how many ways could 10 people be seated at a rectangular table if the two hosts should not sit
together? Show work.
Answer:
ok
Step-by-step explanation:
Answer:
9 ways.
Step-by-step explanation:
Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12
Find the GCF for the pair 4, 49.