The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
To answer the question, we need to know what a regression model is
What is a regression model?A regression model is an equation or model that shows if there is a relationship between two variables.
Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.
Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.
Average number of sunlight hours in JuneSo, y = -2.8sin(0.65x + 120.2) + 12.2
y = -2.8sin(0.65(6) + 120.2) + 12.2
y = -2.8sin(3.9 + 120.2) + 12.2
y = -2.8sin(124.1) + 12.2
y = -2.8(0.8281) + 12.2
y = -2.32 + 12.2
y = 9.88
y ≅ 9.9
So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
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Harry charges $4 to babysit for the first hour. For each additional hour, he charges
50% more than he did for the previous hour. How much money in total would Harry
earn for 4 hours of babysitting?
Please help me quick i will mark you as brainliest when i get the chance or if possible
Harry would earn total money equal to $32.50 babysitting.
Since Harry charges 50% more for each additional hour as he did for the previous hour, then
he charges 1.5 or 3/2 times as much as he did for the previous hour.
What is the charge?Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.
Harry charges $4 for the first hour.
Harry then charges
3/2 × $4 = $6 for the second hour.
Harry then charges 3
3/2 × $6 = $9 for the third hour.
Harry then charges 3
3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.
Therefore, for 4 hours of babysitting
Harry would earn $4 + $6 + $9 + $13.50 = $32.50.
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Drag values to complete each equation.
y5y3−(y−2)4
=
(y−2)4+y3y5
For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.
What is integer exponent?Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.
We have:
[tex]=\rm y^5y^3-(y^{-2})^4[/tex]
[tex]= \rm y^{5+3}-(y^{-2\times4})[/tex]
[tex]= \rm y^{8}-(y^{-8})[/tex]
[tex]= \rm y^{8}-\dfrac{1}{y^{8}}[/tex]
[tex]\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}[/tex]
Similarly,
[tex]\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}[/tex]
Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.
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12-1/2(x-3)=1/4(2x+1)-10
Answer: x=23.25
Step-by-step explanation:
12-1/2(x-3)=1/4(2x+1)-10
4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4
48-2(x-3)=(2x+1)-40
48-2x+6=2x+1-40
48+6+40-1=2x+2x
93=4x
x=23.25
Louise spins the spinner twice. which probabilities are correct? check all that apply. p(both green) = one-sixteenth p(both blue) = one-fourth p(first green and then blue) = one-sixth p(first orange and then blue) = one-eighth p(first orange and then green) = one-fourth
Answer: P(both green)=1/16
P(both blue)=1/4
P(first orange and then blue)=1/8
Step-by-step explanation:
Answer:A, B, and D
Step-by-step explanation:
The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?
To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3. 2g of AlCl3 contains 9.034*10^21 molecules.
Number of Molecules in 2g of AlCl3The molar mass of AlCl3 is given as 133.34g/mol
Data;
mass = 2gmolar mass = 133.34g/molUsing the mole concept, we can equate the molar mass to the number of molecules present in the entity.
[tex]133.34g = 6.023*10^2^3[/tex]
If we equate this
[tex]133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules[/tex]
From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.
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In a bag, there are cards numbered from 21 to 30. Let:
Event A be selecting an odd card
Event B be selecting a card greater than 28.
What is the P(A ∪ B)?
A. 0.70
B. 0.50
C. 0.10
D. 0.60
Answer:
BStep-by-step explanation:
that's the answer correct me if im wrong52. What is the 275th digit after the decimal point in the
repeating decimal 0.6295 ?
F. 0
G. 2
H. 5
J. 6
K. 9
The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
What is decimal?Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.
It is given that [tex]0.6295[/tex] is a repeating decimal.
i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,
So, divide [tex]275[/tex] by [tex]4[/tex],
We get,
[tex]=\frac{275}{4}[/tex]
We get, [tex]68[/tex] and [tex]3[/tex] as remainder.
So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.
i.e. [tex]275th[/tex] number will be [tex]9[/tex].
Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
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what would Z equal to 13(z + 16) = 949
13(z+16) = 949
z+16 = 949 : 13 = 73
z = 73 - 16 = 57
Recheck : 13 x (57+16) = 13 x 73 = 949.
Divide 4,671 divided by8
Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
Pls just give coordinates i will give brainliest
Answer:
(-2,2) see attached diagram
Step-by-step explanation:
see graph
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]Complete the square to write y = 3x2 12x 7 in vertex form, y = a(x - h)2 k. y = 3(x2 4x) 7 y = 3(x2 4x 4) 7 - when the above expression is written in vertex form, a is , h is , and k is .
This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5
Vertex form of a functionThis are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7
The vertex form of the function will be in the form y = a(x-h)² + k
Complete the square
y = 3(x² + 4x) + 7
y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7
y = 3(x+2)² - 5
Hence the vertex form of the function is given as y = 3(x+2)² - 5
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which of the follwing is correxr
Answer:
the equation has infinitely amny solutions
Please help!!!!!!!!!!
Answer:
See below
Step-by-step explanation:
x = the number
-1/6 x < -9 multiply both sides by -6 (this reverses < to > )
x > 54
Calculus - need work shown
[tex] \frac{ - 1}{2} [\cos(8x(x + 3))]+ c[/tex]
Answer:
[tex]\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}[/tex]
Step-by-step explanation:
[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}[/tex]
[tex]\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}[/tex]
Which of the following is an example of a theorem?
A. The areas of two congruent figures are equal.
B. The area of a square is the square of the length of its side.
C. The area of a rectangle is the product of its base and height.
D. The area of a region is the sum of all of its non-overlapping parts.
Answer:
A) The areas of two congruent figures are equal.
Step-by-step explanation:
Solution:
2nd, 3rd, and 4th statements are formulas, not theorems.
Areas of two congruent figures that are equal is a theorem.
YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)
What is the only solution of 2x2 + 8x = x2 – 16?
And please... Don't be useless
Answer:
the answer is x=-4
Step-by-step explanation:
The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
A company manufactures glass paperweights in the shape of square base pyramids. The
paperweight is three inches tall and has a base-edge length of two inches. How much glass is
needed to make the paperweight?
Answer:
12 in3
step by step exlpaination.
Find the MEDIAN of the following data set.46,78,56,27,73
Answer:
56
Step-by-step explanation:
If you do need a step-by-step explanation just comment under here and I'd be happy to show you how I did it :)
frank gets a pay rise from £120 a week to £135 a week. what fraction of his original pay was his pay rise?
please help! not sure abt this answer...
Answer:
1/8
Step-by-step explanation:
135 is 15 more than 120
15 is 12.5% of 120
0.125 as a fraction is 1/8
Hope this helped!
Will mark Brainliest!! :)
Students at Green High School and students at Belle High School planned separate field trips to Washington, D.C. Green High School filled three buses (x) and one van (y) with 118 students. Belle High School filled four buses and two vans with 164 students.
The situation above is represented by the following system of equations:
3x + y = 118
4x + 2y = 164
The solution is (36,10)
Explain what the system of equations and the solution both represent.
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
You have three consecutive even
numbers so that the sum of twice
the smallest number plus three times
the middle number is four times the
largest number. Find the three numbers.
I don't know how to solve this please help
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74\%74%74, percent of the time.
Answer: Choice D [tex](1-0.74)^4[/tex]
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing [tex](1-0.74)^4[/tex]
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
The surface area of a sphere is 320 square centimeters. what is the radius of the sphere?
Answer:
r
≈
5.05cm
r
=
1
2
A
π
A
Surface area
cm²
r
d
Unit Conversion:
A
=
320cm²
Using the formula
A
=
4
π
r
2
Solving for
r
r
=
1
2
A
π
=
1
2
·
320
π
≈
5.04627cm
Step-by-step explanation:
Answer:
the answer is 5.05
Step-by-step explanation:
I hope it helps you
What is the Exponential or Logarithmic function?
Answer:
Uhm..drugs-
Step-by-step explanation:
D
Question 3
1 pts
Which expression is equivalent to sin(200°)?
-Sin 20°
cos 20°
cos 70°
-sin 70°
-
Activate
Rewrite the angle as a sum or difference with its
reference angle: sin(180° + 20°)
Simplify the expression using the general
reduction formula: sin(20)
Calculate the approximate value: -0.34202
Answer: -0.34202
examples of irrational numbers that result into rational numbers when squared
[tex] \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}[/tex]
thanks
3. it is the most useful diagra on that will present
The proportion of each Observation in relation to the
Total data set
B pie
pie chart
A line graph
c. bar graph
14 It is the graph that displays the trend or
the behaviour of the data set
A line graph
Copie chart
B. bar graph
The pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
As we know, that pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set.
From the definition of the line graph, the graph that displays the trend or the behaviour of the data set, called a line graph.
Thus, the pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
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simplify the following expression. (-3b+5)-(8b-3)
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !