Answer:
66.69
Step-by-step explanation:
You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 97 degrees during the day and the average daily temperature first occurs at 10 AM. How many hours after midnight, to two decimal places, does the temperature first reach 82 degrees?
Answer: After about 9.03 hours the temperature first reach 82 degrees.
Step-by-step explanation:
The sinusoidal function is given by :
[tex]y=A\sin[\omega(x-\alpha)]+C[/tex]
where, A = amplitude; [tex]\omega=\dfrac{2\pi}{period}[/tex] , α= phase shift on the Y-axis and C = midline.
As per given,
Average daily temperature= [tex]C=\dfrac{73+97}{2}=85[/tex] [midline is average of upper and lower limit.]
A= 97-85 = 12
Phase shift: [tex]\alpha=10[/tex]
Period = 24 hours;
[tex]\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}[/tex]
Substitute all values in sinusoidal function, we get
[tex]y=12\sin[\dfrac{\pi}{12}(x-10)]+85[/tex]
Put y= 82, we get
[tex]82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03[/tex]
Hence, After about 9.03 hours the temperature first reach 82 degrees.
Find the slope of the line
Answer:
C. -3/4
Step-by-step explanation:
The Slope is always rise over run or
rise
___
run
so with X you rise up 3 and Y, you run down 4 so the slope is C.
-3/4
Please help asap. Thank you!
Answer:
number 2
Step-by-step explanation:
tell me the answer after you finshe
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{2}{3.25}=\frac{x}{6.5}[/tex]
Wriye the equation Y=-4/5x-6
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = − 5Y/4 − 15/2
can someone help me !?
Three consecutive integers are n, n, +1 and n+2. 4 times the sum of the least and greatest integers is 12 less than three times the least integer. What is the least integer?
Answer:
The smallest integer is -4.
Step-by-step explanation:
4(n + n+2) = 3*n - 12 Combine the left
4(2n + 2) = 3n- 12 Remove the brackets
8n + 8 = 3n - 12 Subtract 3n from both sides
8n-3n + 8 = 3n-3n - 12 Combine
5n + 8 = - 12 Subtract 8 from both sides
5n = - 12 - 8
5n = - 20 Divide by 5
5n/5 = -20/5
n = - 4
n + 1 = -3
n + 2 = - 2
Choose the graph of this equation.
y=−3/2x−2
Answer:
The correct answer choice is letter C.
The graph C represents the equation [tex]y = -\frac{3}{2}x - 2[/tex] , option C is correct.
The equation [tex]y = -\frac{3}{2}x - 2[/tex] represents a linear equation in slope-intercept form, where the coefficient of x is [tex]\frac{-3}{2}[/tex]and the y-intercept is -2.
Based on this equation, we can determine the characteristics of the graph:
The slope of [tex]-\frac{3}{2}[/tex] indicates that the graph has a negative slope, meaning it is a line that slopes downward as you move from left to right.
The y-intercept of -2 indicates that the line intersects the y-axis at the point (0, -2).
The graph in C represents all these characteristics.
Hence, the graph C represents the equation [tex]y =- \frac{3}{2}x - 2[/tex]
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3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
Which expression represents the perimeter of the rectangle shown below
Answer:
D. 2x² + 10x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = x² + 3x - 2
Width = 2x + 1
Perimeter = 2(x² + 3x - 2 + 2x + 1)
Perimeter = 2(x² + 5x - 1)
Perimeter = 2(x²) + 2(5x) - 2(1)
Perimeter = 2x² + 10x - 2
I need help!!
what order do these go it?
Answer:
1) y = 3/4x -3/2
2) y = -4/3x + 2
3) y = 4/3x + 2
4) y = -3/4x - 3/2
Step-by-step explanation:
f(2)=3x^2-6x+2
I need help!!!
Answer:
2
Step-by-step explanation:
substitute x by the value in the function, here its f(2) so
3(2)^2 - 6(2)+2
= 12 - 14 = 2
Colette has multiple sources of credit card debt and wants to combine her payments and lower her overall interest rate. Which type of loan
would be the best for her to inquire about?
the answer is consolidation loan
Answer:
A. consolidation loan
Step-by-step explanation:PLATO
what is the true solution to In 20+ In 5= 2 In x
Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible write no and make a sketch demonstrating why it isn’t possible
Answer: No, it is not possible to form a triangle with these side lengths.
The sketch is provided below
==========================================================
Explanation:
The triangle inequality theorem says that the sum of any two sides must be larger than the third side.
But notice that 5+6 = 11 which is not larger than 12.
I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.
The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.
The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.
No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.
Therefore, a triangle cannot be formed with these side lengths.
To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.
Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.
You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.
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What's the slope and y-intercept?
Help please!!
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:40%
Step-by-step explanation:
Expand the following by using distributive property 6(-3w+1/3)
Answer:
-18w+2
Step-by-step explanation:
Answer:
-18w + 2
Step-by-step explanation:
6(-3w+1/3) = 6(-3w) + 6(1/3) = (6 × -3w) + (6 × 1/3) = -18w + 2
At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.
9514 1404 393
Answer:
$28.40
Step-by-step explanation:
Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.
3c +4b = 18.60
2c +2j = 12.34
c = 2b
Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.
2c = 4b
3c +2c = 18.60
c = 18.60/5 = 3.72
Doubling the second equation almost gives us the purchase we want.
2(2c +2j) = 2(12.34)
4c +4j = 24.68
Adding one more cake to this give the desired purchase:
(4c +4j) +c = 24.68 +3.72
5c +4j = 28.40
The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.
10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
Kayla hikes 25 meters in 13.7 seconds. Which of the following closest to how far she will hike in 6 minutes, if she maintains the same pace
Answer:
197.28 meters in 6 minutes
Step-by-step explanation:
13.7 seconds ÷ 25 meters = 0.548 meters in 1 second
6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)
0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Question:
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Answer:
200 miles x 2 = 400 miles in September 400 x 2 = 800 in october
-5n - 2 =38.... how dobi solve this problem and show my work
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
Can anyone help me on my slope maze for algebra class
Answer:
see attached
Step-by-step explanation:
Solved in attachment
8 1/3 divided by 5 5/7
In simplest form
Answer:
35/24
Step-by-step explanation:
8 1/3= 25/3 5 5/7= 40/7
(25/3) divided by (40/7) is equal to (25/3) x (7/40) using Keep Change Flip (KCF) where you keep the initial value, switch the sign from dividing to multiplying, and then flip the other value. Then, multiply across to get 175/120 which simplifies to 35/24.
an = 5 +0.2(n - 1)
Write the explicit formula in a function form
Answer: [tex]f(n) =f(1)+0.2(n-1)[/tex]
Step-by-step explanation:
Given: [tex]a_n=5+0.2(n-1)[/tex]
It is the formula of nth term [tex][a_n=a+(n-1)d][/tex] in Arithmetic progression
where 5 = First term
0.2 = common difference
To write first term , we use f(1).
nth term will be
[tex]f(n) =f(1)+0.2(n-1)[/tex]
Hence, the function form : [tex]f(n) =f(1)+0.2(n-1)[/tex]
Which is true of the graph?
A.
The graph has no y-intercept.
B.
The graph of the line is y = 100x.
C.
Miles walked and Calories burned are in a proportional relationship.
D.
The more Lonnie walks the faster she goes.
Answer:
the answer is D. Miles walked and calories burned are in a proportional relationship
Which equation applies the associative property of multiplication? (−1/2⋅4/7)+(−1/2⋅2/3)=−1/2⋅(4/7+2/3) (−9/4⋅3/2)⋅(6/3⋅5/7)=−9/4⋅(3/2⋅6/3)⋅5/7 −6/5−(5/3−1/4)=(−6/5−5/3)−1/4 8/9⋅7/4⋅(−5/8)=8/9⋅(−5/8)⋅7/4
Answer:
8/9⋅(−5/8)⋅7/4
Step-by-step explanation:
7.0 is ten times as much as
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
how do you write -5 1/100 as a decimal?
Answer:
The answer is -5.01
Answer: my friend I gotchu
Step-by-step explanation:
-5 would convert into -5.
1/100 = 0.01
so together it would be
-5.01