1,2,5 square root both sides
47simplify into 8 root 2simplify into 6 root 311add 169 to both sides and square root to get 13add 80 to both sides and simplify into 4 root 5add 63 to both sides and simplify into 3 root 7add 125 to both sides, divide both sides by 5, x^2=25, square root, x=5add 132 to both sides, divide by 3, x^2=44, square root simplified is 2 root 11Please help will give brainliest
A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5
2012-2013:
Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1
How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70
The mean temperature change between the two cold seasons is (b) went up by 0.3°
How to compare the mean values of both seasons?The given parameters are:
2011-2012:
November 61 1December 51 9January 53.6February 56.52012-2013:
Nov: 64.2Dec:56 8Jan;48.3Feb: 55.1The mean is calculated as
Mean = Sum/Count
So, we have
2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4
Evaluate
2011 - 2012 mean = 55.8
Also, we have
2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4
Evaluate
2012 - 2013 mean = 56.1
The difference in these mean values are
Difference = 56.1 - 55.8
Evaluate
Difference = 0.3
Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°
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22. The mass of Mercury is about
3.3 x 1023 kg. The mass of Jupiter is
about 1.9 x 10²7 kg. About how many
times the mass of Mercury is the mass
of Jupiter?
The mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.
Mass of Mercury = 3.3 × 10²³ kg
Mass of Jupiter = 1.9 × 10²⁷ kg
We need to find that how many times the mass of Mercury is the mass
of Jupiter.
For this, we will divide the mass of mercury with the mass of Jupiter.
So, we get that:
= ( 3.3 × 10²³ kg ) ÷ ( 1.9 × 10²⁷ kg )
Solving the expression by using the properties of exponents, we get that:
= 1.74 × 10⁻⁴ kg.
Therefore, we get that, the mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.
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Paula is scuba diving. Her elevation changes by -374 m in 4.5 min. What rational number represents the average change in Paula's elevation each minute? Show your work.
use the order of operations to simplify. -2+3 x(17-2)-29
Answer:
45x−31
Step-by-step explanation:
Essay writers stink
It's fox season! - Ash the Fox
(Will have new phrase every month!)
A student claims that the next term of the arithmetic sequence 0,2,4, ....... is 8 . Explain and correct the student's error.
an=a1+d(n−1) by applying this formula next term of the arithmetic sequence is 8.
What is arithmetic sequence?See the pattern
2-0 = 2
4-2 = 2
By this we conclude that next term is not 8.
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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Find the length of the third side. If necessary, write in simplest radical form. 6 and 6
The length of the third side will be equal to 5.2 units.
What is the Pythagorean theorem?According to the Pythagorean Theorem, the hypotenuse square in a right-angled triangle equals the square of the sum of the other two sides.
This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
This is a right-angled triangle which means that the missing length can be solved using the Pythagorean theorem:
c² = a² + b²
Where c is the hypotenuse, a and b are the other sides.
c = 6
a = 3
b =?
6² = 3² + b²
36 = 9 + b²
b² = 27
b = √27
b = 5.2 units
Therefore, the length of the third side will be equal to 5.2 units.
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The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.25x2 − 8x + 600
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, determine which company has a lower minimum and find the minimum value.
g(x) at (10, 855)
f(x) at (16, 536)
g(x) at (16, 536)
f(x) at (10, 855)
A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable, By the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
What is function?an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537
company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Now compare f(x) and g(X)
x g(x) f(x)
6 862.2 561
8 856.8 552
10 855 545
12 856.8 540
14 862.2 537
Therefore based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
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Answer: it's A
Step-by-step explanation:
g(x) at (10, 855)
What is the definition of absolute value?
Lesson 2 TTW
The definition of absolute value is
the magnitude of a real number
without regard to its sign.
Find the absolute value of the following numbers:
|-10
Answer: The absolute value of |-10| is 10
Step-by-step explanation: The absolute value of something is the distance from the point to the 0 unit so from -10 to 0 its 10 units.
Determine the slope of the line that contains the given points.
E(5,4), F(8,1)
The slope of the line that contains the given points E(5,4), F(8,1) is -1.
It is given in the question that the line contains the points E(5,4) and F(8,1).
We know that:-
The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-
m = (d-b)/(c-a)
Here, we have
m = slope of the line
(a,b) = (5,4)
(c,d) = (8,1)
Hence, putting the values of (a,b) and (c,d) , we get
Slope of the line that contains the given points E(5,4), F(8,1) is given by:-
(1-4)/(8-5) = -3/3 = -1
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Simplify this algebraic expression completely
5y - 3(y + 2)
A.2y - 2
B.2y + 2
C.2y - 1
D.2y - 6
5y - 3(y + 2)
First distribute:
5y - 3(y + 2)
5y - 3y + 6
Add like terms:
5y - 3y + 6
2y + 6 :)
the mean is 9.12 and the standard deviation is .05. what percent of the bags weigh less than 9.07?
Answer:
5.1
Step-by-step explanation:
yup i hate math.
Evaluate each expression for x=-2,0,1 , and 4.
(2/3)x+7
The value of the expression for x = -2,0,1 , and 4 is 17/3, 7, 23/2, 29/3.
Given,
The equation is (2/3)x+7
For x = -2,
the value will be -
(2/3)(-2) + 7
= 17/3
For x = 0
the value will be -
(2/3)(0) + 7
= 7
For x = 1
the value will be -
(2/3)(1) + 7
= 23 / 2
For x = 4
the value will be -
(2/3)(4) + 7
= 29 / 3
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You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand. The probability of your team getting 1 point for a hand is 60 \% and of getting 3 points for a hand is 5 \% .
b. Design a simulation and estimate your team's average value per hand.
The team's average value per hand is 0.76 and the simulation is shown in the figure.
Average Value:
Average means the ratio of the sum of all given observations to the total number of observations.
Given,
You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.
The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .
Here we need to design a simulation and estimate your team's average value per hand.
When we use a random number generator to generate integers
1 through 20, where
1–7 represents 0 points,
8–19 represents 1 point, and
20 represents 3 points.
Do 50 trials and record the results in a frequency table.
The table looks like, the following.
Based on the frequency table, The average value is the sum of the product of each point value and its corresponding frequency is calculated as,
=> average = (0 x 16/50) + (1 x 32/50) + (3 x 2/50)
=> average = 0 + 32/50 + 6/50
=> average = 38/50
Which is approximately equal to,
=> average ≈ 0.76
Therefore, team's average value per hand is 0.76
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Suppose points P,Q, and R are collinear, with point Q between points P and R . Describe a plan for a proof that the reflection of points P,Q, and R in a line preserves collinearity and betweenness of points.
The points P,Q, and R are collinear points is proved by the property that Congruent Figures' Corresponding Parts are Congruent.
What is meant by collinearity?Collinear points are those that are within the same straight line or on the same plane. In Euclidean geometry, two or more points on a line that are close to or the far from one another are referred to as collinear.
If three items are arranged in a straight line, the things are collinear.More astonishingly, the word collinear has been applied to straightened things, which means something is "in a row" or "in a line."As, per the given question, the description for the reflection of points P,Q, and R to form collinear points are described below.
Draw the points P,Q, and R so they are collinear, with Q between P and R. Connect P to P', Q to Q', as well as R to R' by reflecting P, Q, and R. Display the quadrilateral congruent that results. Congruent Figures' Corresponding Parts are Congruent.If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are indeed the points that lie on the an one straight line.
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
G(1,-1,6) and H(1/5,-2/5, 2)
The midpoint is at (6/10 , -7/10 , 4)
In the given statement is
To find the midpoint of the line segment joining the pair of points
G(1,-1,6) and H(1/5,-2/5, 2)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points G(1,-1,6) and H(1/5,-2/5, 2)
Solving for the midpoint , we have,
m = ([tex]\frac{1+\frac{1}{5} }{2} , \frac{-1+(\frac{-2}{5} )}{2} , \frac{6+2}{2}[/tex])
m =(6/10 , -7/10 , 4)
Therefore, the midpoint is at (6/10 , -7/10 , 4)
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helpp pleasee this is so hard
Step-by-step explanation:
10) [tex]24000(\frac{1}{32} )=\frac{24000}{32} =750[/tex]
Commission = $750
11) Constant of proportionality (k)
k = (Cups of blackberry) / (cups of juice)
[tex]k=\frac{4}{1\frac{1}{3} } =\frac{4}{\frac{4}{3} } =\frac{(4)(3)}{4} =\frac{12}{4} =3[/tex]
3 cups of blackberry for each cup of juice
On the table:
12 cups of black berry required: 12/3 = 4 cups of juice
8 cups of juice required: (8)(3) = 24 cups of blackberries
12) The equation
assign: cups of blackberry: b, cups of juice: j
[tex]b=3j[/tex]
Hope this helps
determine whether the following graph represents a function
1. Not a function
2. Function, but one to one
3. One to One function
How to simplify arational algebraic expressions
Answer:
To simplify any rational expressions, we apply the following steps:
Factorize both the denominator and numerator of the rational expression. Remember to write each expression in standard form.
Reduce the expression by cancelling out common factors in the numerator and denominator
Rewrite the remaining factors in the numerator and denominator.
Step-by-step explanation:
Example:
Simplify: (x^{2} + 5x + 4) (x + 5)/(x^{2} – 1)
Solution:
Factoring the numerator and denominator to get;
⟹ (x + 1) (x + 4) (x + 5)/(x + 1) (x – 1)
Now cancel the common terms.
⟹ (x + 4) (x + 5)/(x – 1)
Use grouping symbols (parentheses) to make 9 + 3-2 +4 equal 6. Which expression below is true?
O9+(3-2) + 4 = 6
O9+3-(2 + 4) = 6
O (9+3)-2+4=6
O (9+3-2) + 4 = 6
Answer:
the second answer
Step-by-step explanation:
because 19+3 is equal to 12, therefore we substrate by the number we got from 4+2 which is 6, so it will be 12-6 which is equal to 6 ,
4 and 1 over 7 divided by 2 over 3
(Ignore messy writing I rush myself)
Answer: If the question is 41/7 divided by 2/3 then the answer is 123/14 or 8 11/14
Step-by-step explanation:
At this rate how long would it take for you heart to beat 700,000 times? express your answer in days . now express your answer in days , hours, minutes, & seconds. (example:2 days , 4 hours 21 minutes, 15seconds)
Based on the rate illustrated, the time that it would take for you heart to beat 700,000 times is 8.10 days.
How to calculate the value?It should be noted that the heart beats 86400 tines on a day.
Therefore, when the heart beats 700,000 times, the number of days will be:
Number of times / Number of times the heart beats in a day
= 700000 / 86400
= 8.10 days
Therefore, the time that it would take for your heart to beat 700,000 times is 8.10 days.
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Kelly’s car travels 26 1/4 miles on 5/8 gallon of gas how much Can the car go per gallon
42 miles kelly's car can go if 1 gallon of gas is used .
WHAT IS UNITARY METHOD ?Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.
CALCULATIONtotal miles travelled = 26 1/4 miles = 26.25 miles
gas used = 5/8 = 0.625 gallon
distance car can travel in 1 gallon = 26.25 / 0.625
= 42 miles
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a light flashes every 2 minute, a second light flashes every 3.5 minutes, and a third light flashes every 4 minutes. if all three light flashes together at 8pm whis is the next time of the day they will flash together
You must determine the least common multiple of the three in order to respond to this. 8:28 pm will be the moment when all three lights flash simultaneously next.
Wat is the LCM of 2, 3.5, and 4 in whole numbers?Work with 3.5 now:
3.5 * 1 Equals 3.5 (no, 2 and 4 don't split into 3.5 in an equal manner)
3.5 * 2 = 7 (no, same excuse)
3.5 * 3 = 10.5 (nope) (nope)
3.5 * 4 = 14 (nope) (nope)
3.5 * 5 = 17.5 (nope) (nope)
3.5 * 6 = 21 (nope) (nope)
3.5 * 7 = 24.5 (nope) (nope)
3.5 * 8 = 28 (yes, as 2 and 4 are factors of 28) (yep, since 2 and 4 are factors of 28)
Therefore, 8:28 pm will be the moment when all three lights flash simultaneously next.
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Find the H.C.F:
a^3+b^3, a^4+a^2.b^2+b^4, a^4-a^2b+ab^2
Answer:
54 sqrt Mr multiple question is whether you are a man or a boy are you ok
m∠UVX = 76 and m∠XVW = 64, what is the measure of m∠UVW
Based on the angles addition postulate, m∠UVW = 140°.
What is the Angles Addition Postulate?The angles addition postulate says that two smaller angles that is composite of a larger angle can be added together to give the measure of the larger angle.
Based on the angle addition postulate, the following equation that can be used to solve the problem given is derived below:
measure of angle XVW + measure of angle UVX = measure of angle UVW
Given the following:
measure of angle UVX = 76°
measure of angle XVW = 64°
Thus, using the above equation, we have:
64 + 76 = measure of angle UVW
140 = measure of angle UVW
measure of angle UVW = 140°
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URGENTT PLS ANSWER!!!!!
Mt.Whitney is the highest peak in California at 14,949 feet. The city of El Centro, also in California, is 39 feet below sea level. What is the difference in elevation between in Mt. Whitney’s peak and city of El Centro?
Answer:
14988 feet
Step-by-step explanation:
To find the difference, subtract.
14949 - (-39)
= 14949 + 39
= 14988
Use "add the opposite" to change "minus a negative" to "plus a positive"
In Δ S Z U, U J=9, V I=3 , and Z T=18 . Find the length.
SJ
In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 then the value of SJ = 6.
What is meant by centroid theorem?The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.
The centroid has the unique property that the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex for each median. In addition, the three medians of a triangle divide the triangle into six equal-area regions.
Given: In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 .
Since ZV ≅ VU, Y is the midpoint of UZ and SV is a median of Δ ZSU. Similarly, points Y and T are also midpoints of SZ and SU, respectively, so YU and ZT are also medians. Therefore, point J is the centroid of
Δ ZSU and, according to the Centroid Theorem, SJ is 2/3 of SV.
SJ = 2/3 (SV)
= 2/3 (SJ + VJ)
simplifying the above equation, we get
(3SJ/2) - SJ = VJ
SJ/2 = 3
SJ = 6
Therefore, the value of SJ = 6.
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Kareem has 26 2 3 feet of vinyl siding and 33 3 4 feet of wooden siding. he cuts the vinyl siding into 3 1 3 feet long strips and the wooden siding into 2 1 4 feet long strips. how many more strips of wood siding than vinyl siding does he have
Kareem has 7 more strips of wood siding than vinyl siding.
What is a siding?
A siding is a brief railroad track with one or both ends opening into the main track, used to switch one of two meeting trains until the other has passed. Or a siding is any of a number of different forms of weatherproof face for frame buildings, made up of individual sections fastened together as shingles, plain or shaped boards, various sheet metal components, or other composition materials.
Number of vinyl siding strips = 2623/313 = 8.38 ≈ 8 strips
Number of wooden siding strips = 3334/214 = 15.57 ≈ 15 strips
Therefore, extra strips of wooden siding = 15 - 8 = 7 strips
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what would 85° F be in Celsius degrees? (Round your answer to the nearest degree.)
Answer:
The answer is 29.44 degree Celsius.
determine whether the following graph represent a function.
1. one to one function
2. function, but not one to one
3. Not a function
Answer:
Choice 1
It is a one to one function.
Appears to be a cubic function
Step-by-step explanation:
