1. The temperature change on each day is as follows:
Day 1 = 32.31°CDay 2 = 37.29°C2. The temperature change on Day 1 was 32.31°C.
3. The temperature changed the most on Day 2.
What is a temperature change?A temperature change is a process whereby the degree of hotness or coldness varies from one time to another.
In this instance, the temperature changes can be computed by subtracting the temperature at Sunrise from the temperature at Sunset in degrees Centigrade or degrees Fahrenheit, as the case may be.
Data and Calculations:Daily Temperatures
Temperature at Temperature at Temperature
Sunrise (°C) Sunset (°C) Change
Day 1 - 13.94 18.37 32.31°C
Day 2 - 9.12 28.17 37.29°C
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Question 15 (1 point)
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5]
B = {1, 3, 5, 7}
How many elements are in AUB?
Answer:
6
Step-by-step explanation:
The union is defined as the set of all elements in at least one of the sets.
[tex]A \cup B=\{1,2,3,4,5,7\}[/tex]
So, there are 6 elements.
ILL give BRAINIEST
What is the width of a rectangle with a length of 15 cm and area of 125 cm
No fake answers
Answer:
w≈8.33
Step-by-step explanation:
Greetings !
Firstly recall rectangle area formula
Thus,
[tex]area \: of \: rectangle \: = length \: \times \: width[/tex]
Given values:-
length = 15cmarea = 125cmrequire value:-
width =?solution/ work-out:-
[tex]width = \: \frac{area \: of \: rectangle}{length} [/tex]
[tex]w = \frac{125}{15} [/tex]
[tex]w = 8.333...[/tex]
Hope it helps !!!
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is [tex]\frac{2}{x}[/tex].
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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A student receives the following grades, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student's weighted mean grade point score? B in 2 two-credit classes D in 1 two-credit class A in 1 three-credit class C in 1 three-credit class
The student's GPA is of 2.33.
What is GPA?Grade Point Average (GPA) is the measure used to summaries your academic achievement at Griffith.
Given:
A worth 4 points,
B worth 3 points,
C worth 2 points,
D worth 1 point
The GPA is
= 3(3) + 1(3) + 2(4) + 2(2)/9+3+4+2
=9+3+8+4/18
=2.33
Hence, The student's GPA is of 2.33.
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Simplify the quantity 9 minus two thirds times the square root of 9 end quantity squared plus the quantity 1 minus 6 end quantity squared.
74
24
495
1,225
The correct answer is option A that is 74.
First, we need to put the expression in the form of mathematical equation. A mathematical equation may be defined as the combination of numbers and arithmetic symbols which are related to each other according to the expression given. The expression in the form of mathematical expression can be written as:
(9 - 2/3×√9)² + (1-6)²
Solving the brackets separately.
(9 - 2/3×3)² + (-5)²
Now in the next step, simplify the equation.
=>(9 - 2)² + 25
=>(7)² + 25
=>49 + 25
=>74.
Therefore, the required answer is 74.
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how many different digits appear when 1/110 is written as a recurring decimal
The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
Given the fraction [tex]\frac{1}{110}[/tex]
Recurring decimal:
A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.
⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....
Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
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67 and 113 multiples of 3,6 and 7
The number 67 and 113 are not the multiples of 3,6 and 7.
What is defined as the multiples?Multiples are the results of multiplying one whole number from another whole number.
A multiple is a products produced by multiplying one number by another. For instance, if we say 4 5 = 20, 20 is a multiple of 4 as well as 5.Every number multiplies itself.A number's multiples are infinite.A number's multiple is equal or greater to the number on its own (except for 0).Now, for the given question;
As, 67 and 113 are not completely divisible by 3. They are not multiple of 3.
67 and 113 are not entirely divisible by 6. So, they are also not the multiple of 6.
Now, 67 and 113 are also not entirely divisible by 7. Thus, they are also not the multiple of 7.
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You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?
Answer:
The room should be 460.65 [tex]m^{2}[/tex].
Step-by-step explanation:
First, you have to convert the percentage to a fraction.
11% = 0.11
Then add one to that number.
0.11 + 1 = 1.11
Multiply the number with the original room size.
415 * 1.11 = 460.65 ([tex]m^{2}[/tex])
If AB=8x+2 and BC=4x+18 find AC
We get that value of AC after adding AB and BC as 12 x + 20.
We are given that:
AB = 8 x + 2 and BC = 4 x + 18
We need to find AC.
For this, we will add AB and BC.
Adding AB and BC, we get that:
AB + BC = AC
Substituting the values of AB and BC in the equation which are given to us:
AC = 8 x + 2 + 4 x + 18
Combining the like terms, we get that:
AC = 12 x + 20.
Therefore, we get that value of AC after adding AB and BC as 12 x + 20.
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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14
14
weeks, but a river that can fill the lake in 25
25
weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed
Answer:
[tex]\frac{350}{11} weeks[/tex]
Step-by-step explanation:
Let V be the volume of water in the lake and w be the number of weeks to empty the lake
Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14
But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake
Net empty rate = Empty rate - replenishment rate = [tex]\frac{V}{14} - \frac{V}{25} = \frac{V}{w}[/tex]Divide the equation by V to eliminate V giving[tex]\frac{1}{14} - \frac{1}{25} = \frac{1}{w}[/tex]
Multiply by 350 (14 x 25) to eliminate the denominators[tex]25 - 14 = \frac{350}{w}[/tex] ==> [tex]11 = \frac{350}{w}[/tex]
Multiply both sides by w to cancel the denominator w11w = 350
Divide both sides by 11 to getw = [tex]\frac{350}{11 }[/tex] weeks
22.83/0.06 = __________
Answer: 380.5
Step-by-step explanation: you can type it into desmos graphing calculator
HELP THIS IS DUE TOMORROW!
Algebra 2 question!
Picture attached below
Answer:
[tex]\dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{4+\sqrt{3}}{3+\sqrt{-3}}[/tex]
[tex]\textsf{Apply radical rule}:\quad \sqrt{-a}=\sqrt{a}\sqrt{-1}[/tex]
[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}\sqrt{-1}}[/tex]
[tex]\textsf{Apply imaginary number rule}:\quad \sqrt{-1}=i[/tex]
[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i}[/tex]
Multiply by the conjugate of the denominator:
[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i} \cdot \dfrac{3-\sqrt{3}i}{3-\sqrt{3}i}[/tex]
[tex]\implies \dfrac{(4+\sqrt{3})(3-\sqrt{3}i)}{(3+\sqrt{3}i)(3-\sqrt{3}i)}[/tex]
[tex]\implies \dfrac{12-4\sqrt{3}i+3\sqrt{3}-\sqrt{3}i\sqrt{3}}{9-3\sqrt{3}i+3\sqrt{3}i-\sqrt{3}i\sqrt{3}i}[/tex]
[tex]\implies \dfrac{12+3\sqrt{3}-4\sqrt{3}i-3i}{9-3i^2}[/tex]
[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3i^2}[/tex]
[tex]\textsf{Apply imaginary number rule}:\quad i^2=-1[/tex]
[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3(-1)}[/tex]
[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{12}[/tex]
Separate the fractions:
[tex]\implies \dfrac{12+3\sqrt{3}}{12}-\dfrac{(3+4\sqrt{3})i}{12}[/tex]
Simplify:
[tex]\implies \dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]
Liberty middle school has 600 students in honors class three out of eight students walk to school how many students are at the school can be expected to walk to school
Answer:
225 students
Step-by-step explanation:
600 students, and [tex]\frac{3}{8}[/tex] of students walk to school
[tex]600 * \frac{3}{8} = 225[/tex]
225 students can be expected to walk to school
the sum of two consecutive integers is 187. find the integers
Answer:
92.5 and 94.5
___________________
Solve[tex]187 \div 2 = 93.5\\\mathrm{Split\:93.5\:into\:two\:integers\:by\pm1}\\93.5 - 1 = 92.5\\93.5 + 1 = 94.5[/tex]
→ Thus, we have our two integers.
_________________________
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round your answer to the nearest tenth.
The height of the pole is 7.1 feet.
Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.
The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.
The two sides of triangle are equal that is x and and the third side is 10.
Now, we will apply the pythagoras theorem, we get
B²+P²=H²
Here B=P+x and H=10
x²+x²=(10)²
2x²=100
Now, we will divide both sides with 2, we get
2x²/2=100/2
x²=50
Now, we will take square root on both sides, we get
√x²=√50
x=√50
x=7.07106781
The Round to the nearest tenth is x=7.1 feet.
Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.
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Consider Line 2, which has the equation: y = = - 1/3x + 14, Give the equation of the line parallel to Line 2 which passes through: (-7,4).
The equation of teh second line is y = -1/3x + 5/3
How to determine the equation?The first equation is given as
y = -1/3x + 14
The slope of the above equation is
m = -1/3
Parallel lines have equal slope
So, the slope of the other line is
m = -1/3
The equation is then calculated as
y = m(x - x1) + y1
So, we have
y = -1/3(x + 7) + 4
Expand
y = -1/3x - 7/3 + 4
Evaluate
y = -1/3x + 5/3
Hence, the equation of teh second line is y = -1/3x + 5/3
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maths geometry questions
pleas help
Step-by-step explanation:
remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.
with that in mind
(i)
because ABCD is a parallelogram, AD = BC, and AB = CD.
and angle A = angle C (and angle B = angle D).
therefore, as AE = FC, this also means that ED = BF.
via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.
therefore, EB = DF.
as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.
together with ED = BF this means that EB || DF.
so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.
(j)
BCDE and ABCG are parallelograms.
so, BC = DE = AG, CD = BE, AB = CG.
due to the midpoint intersection rule of the diagonals of parallelograms, we also know
GE = CG = AB, DG = BG.
and as CG || AB, then also GE || AB.
together with AB = GE that means that AE = BG and AE || BG.
so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.
Tanisha mowed five lawns last week she mowed each one and 712 hour she wrote the same ones this week in 5/12 hour using her lawnmower how many times longer was tanisha’s Time to mow all the lawns last week and this week express your answer as an improper fraction
Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
Here, we are given that Tanisha mowed 5 lawns last week in 7/ 12 hours each.
Thus, the total time taken by her to mow 5 lawns = 5(7/12)
= 35/ 12 hours
Now, this week she mows the five lawns in 5/12 hours each
Thus, the total time taken by her = 5(5/12)
= 25/12 hours
Therefore, the difference between the time taken by her last week and this week will be-
35/ 12 - 25/ 12
= (35 - 25)/ 12
= 10/ 12
= 5/6
Thus, Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
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PLEASE HELP!!!
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180° In a triangle, the measures of the three angles are x, x + 7, and x - 13. What is the measure of each angle?
Answer:
The sides are 62, 69, and 49
Step-by-step explanation:
x + (x + 7) + (x - 13) = 180
3x - 6 = 180
3x = 186
x = 62
Find the first derivative (x²+x-2)/(2x²-2).
how to find the answer using the quotient rule.
the first derivative of the given function is:
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
How to find the derivative?
The quotient rule says that, if f(x) = g(x)/h(x), then:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
In this case we know that:
g(x) = x² + x - 2
h(x) = 2x² - 2
The derivatives are:
g'(x) = 2x + 1
h'(x) = 4x
Replacing that we get:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
= ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²
Expanding the denominator we get:
f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
That is the first derivative of the given function.
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Last year, Salma invested her money in two purchases. She purchased a certificate of deposit for $3000 that paid 5% interest per year and purchased $7000 in corporate bonds paying 4% interest per year. Answer the questions below. Do not do any rounding.
Answer:
a. $2850
b. $6720
Step-by-step explanation:
a.
3000(1-0.05) = $2850
b.
7000(1-0.04) = $6720
Given: 2 ( x + 3)-8=10
Prove: x = 6
Answer:
x=6
Step-by-step explanation:
2(x+3)-8=10
use 2 to multiply the one in the bracket
(2x+6)-8=10
group like terms
2x-2=10
send all constant terms to one side of the equation
2x=10+2
2x=12
divide both side by the coefficient of x
2x/2=12/2
x=6
Solve the system of equations.
x + y = 8
y=x²- 4
The solution for the given system of equations is (3,5) and (-4,12).
Given two systems of equations i.e. x+y=8 and y=[tex]x^{2}[/tex]-4 and asked to solve them.
⇒x+y=8; let's assume this equation as A
⇒ y=[tex]x^{2}[/tex]-4; let's assume this equation as B
From equation A
⇒y=8-x
From equation B
⇒y=[tex]x^{2}[/tex]-4
Equating both the values of y
⇒8-x=[tex]x^{2}[/tex]-4
⇒[tex]x^{2}[/tex]-8-4+x=0
⇒[tex]x^{2}[/tex]-12+x=0
{solving quadratic equation}
⇒[tex]x^{2}[/tex]-12+4x-3x=0 { factorizing the quadratic equation}
⇒[tex]x^{2}[/tex]+4x-3x-12=0
⇒x(x+4)-3(x+4)=0
⇒(x-3)(x+4)=0
Therefore, the value's of x=3,-4
⇒if x=3
From equation A
⇒y=8-3=5
For x=3 ; y=5
⇒if x=-4
From equation A
⇒y=8-(-4)=12
For x=-4 ; y=12
Therefore,The solution for the given system of equations is (3,5) and (-4,12).
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A washer and a dryer cost $813
combined. The washer costs $87
less than the dryer. What is the cost of the dryer?
The cost of the dryer will be $450
In the given sum the combined cost of the washer and dryer is $813
let the cost of the dyer be x
the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer
According to the problem :
∴ x + (x-87) = 813
=> x+x-87 = 813
=> 2x - 87 = 813
=> 2x = 813 +87
=> 2x = 900
=> x = 900/2
=> x = 450
So the cost of the dryer is $450
The cost of the washer is = x - 87 = 450 - 87 = $363
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a population has mean of 0.1 and standard deviation of 2.1.what is the probability that the mean of a random sample of size 900 will be negative
Answer on Question #54875
–
Math
–
Statistics
and Probability
A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the
mean of a sample of size 900 will be negative.
Solution
In accordance with the given problem, we have the following data:
μ
=
0
.
1
,
σ
=
2
.
1
and
n
=
900
. It is known that
푥
~
M
(
μ
,
σ
2
)
and
z
~
N
(
0
,
1
)
You are getting on a plane to visit family 1200 miles away. The plane you are boarding will travel on
average 500 miles per hour. How long will the trip take you?
Answer:
2.4 hours or 2 hours and 24 minutes
Step-by-step explanation:
Distance = rate times time
d = rt
1200 = 500t Divide both sides by 500
2.4 = t
It will take 2.4 hours. We can convert the .4 into minutes by using a unit multiplier 60 minutes = 1 hour.
[tex]\frac{.4hours}{1}[/tex] x [tex]\frac{60minutes}{1hour}[/tex] The words hours cancel out and we are left with
.4 x 60 = 24 minutes.
6t^2/5+11t^1/5+3=000
You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:
_______________________________________________
Isolate the variable by dividing each side by factors that do not contain the variable.
Solution's Exact Form:
[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]
_______________________________________________
Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!
can some please explain to me how my teacher get to the part that i highlight. (2^-5)^-3x i'm so lost someone please explain
Answer:
see explanation
Step-by-step explanation:
using the rules of exponents
[tex]\frac{1}{a^{m} }[/tex] = [tex]a^{-m}[/tex]
then
[tex]\frac{1}{32}[/tex] = [tex]\frac{1}{2^5}[/tex] = [tex]2^{-5}[/tex]
and
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , so
[tex](2^{-5}) ^{-3x}[/tex]
There are 6 faces on a standard die. How many faces are on 5 dice?
Answer: 30
Step-by-step explanation: just do 6*5, 6 faces for five die is thirty faces
There are 30 faces on 5 dice in total.
Given that a standard die has 6 faces on it, we need to determine the number of the faces on 5 dice.
A standard die has 6 faces. If you have 5 dice, each with 6 faces, you can calculate the total number of faces by multiplying the number of dice by the number of faces on each die:
Total number of faces = Number of dice × Number of faces on each die
Total number of faces = 5 dice × 6 faces/die
Total number of faces = 30 faces
So, there are 30 faces on 5 dice.
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A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five-sixths of my cats plus six"
How many cats does the nemesis have?
