The table below shows the recorded temperature on a certain day starting at 6:00 am
PLS HELPPPPP
Answer:
A) y = 2.91x + 64.61 with x hours after 6:00 am
B) at 2:00pm, temperature is 87.89°
Step-by-step explanation:
(>>Regression Equation y = bx + a )With b- Sum of products/Sum of Square = sq/SSx. a = My- bMx,)
set 6.00 am is an original time, when x = 0
use the unit: hour to get a new table
X time 0, 0.75, 1.5, 2.5, 3, 3.75, 4.5, 5
Y temp 65°, 67", 68° ,72° ,74", 75° ,77° ,78°
a). with temperature y and x hour after 6:00 am,
can get Sum of x = 21 Mx = 2.63
Sum of - 578 My = 72.25
SSx = Sum of (X-Mx)² = 22.25
= sum of (X-Mx)(}-My)= 64.75
So b= sq/SSx =64.75/22.25 = 2.91
a= My- bMx = 72.25 - 291 x 2.63 = 64.61
So regressing equation Y= 2.91x + 64.61
b). at 02:00 pm , means 8 hours after 6:00 am
meaning X-8, )= 2.91×8 + 64.61 = 87.8)
The required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
Given that,
The table shows the recorded temperature on a certain day starting at 6:00 am.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The standard form of the regression equation,
y = bx + a,
where b = sum of product/sum of squares a = My - bMx
Since
b = 2.91 , My = 72.25, Mx = 2.63
a = 72.25 - 2.91 * 2.63
a = 64.6
The required regression equation is,
y = 2.91x + 64.6
B)
For 2.00 PM, x = 8
Now,
y = 2.91 * 8 + 64.6
y = 87.8°
Thus, the required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
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Triangle ABC with coordinates A (2, 4),
B (3, 6), and C (5, 1) is translated
4 units horizontally.
Triangle ABC with coordinates A (2, 4),
B (3, 6), and C (5, 1) is translated
4 units horizontally is (6,4), (7,6) ,( 1,9)
A triangle is a basic polygon with three sides and three internal angles. It is one of the fundamental shapes in geometry in which the three vertices are connected together, and it is represented by the symbol. Triangles are categorized into many sorts based on their sides and angles. All geometrical shapes have unique qualities relating to sides and angles that aid in their identification. The following are some of the most important qualities of a triangle.
There are three sides, three vertices, and three internal angles in a triangle.
The angle sum property of a triangle asserts that the sum of a triangle's three internal angles is always 180°. Consider the triangle PQR shown above .
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what’s 9/9^4 simplified
Answer: 9/9^4 in Simplest form is 1 / 729
2a - 3=15 What is the answer
Answer:
a = 9
Step-by-step explanation:
Step 1: Add 3 to both sides
2a – 3 = 15
2a – 3 + 3 = 15 + 3
Step 2: Simplify
add the numbers ( 2a = 18 )
Step 3: Divide both sides by the same factor
2a = 18
2a 18
––– = –––
2 2
Step 4: Simplify
l
Cancel the terms that are in both the numerator and the denominator
l
l
Divide the numbers
l
a = 9
Answer: a = 9
8/15% into a fraction
Answer:
2/375
Step-by-step explanation:
We can multiply 8/15 by 1/100 to get
[tex]\frac{8}{15} *\frac{1}{100}=\frac{8}{1500}[/tex]
Now we simplify this fraction into simplest form.
2/375
15. Bill Bob Joe is building a deck for his pool and needs to know how long to make his deck. He
knows the pool is a square prism with a height of 15 feet and a volume of 1,215ft³. Using the
volume formula V = lwh and the fact that a square has congruent length and width. Find the length
of the pool.
Answer:
9ft by 9ft
Step-by-step explanation:
Describe the following characteristics of the graph of each
parent function: domain, range, intercepts, symmetry,
continuity, end behavior, and intervals on which the graph is
increasing/decreasing. (Example 1)
2. f(x) = /1
5. f(x) = c 6. f(x) = x
1. f(x) = [x]
4. f(x) = x4
3. f(x) = x³
Step-by-step explanation:
-by-step explanation:
y=\frac{2}{x+1}-3y=
x+1
2
−3
asymptotes:
x+1 = 0
x = -1
y = -3
asymptotes: x = -1, y = -3
x int: (-\frac{1}{3}, 0)(−
3
1
,0)
y int: (0, -1)
D: (-infinity, -1) (-1, infinity) x cannot be -1
R: (-infinity, -3) (-3, infinity) y cannot be -3
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.
An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. Which equation can be used to find the number of seconds it takes the object to hit the ground?
0 = –4.9t2 + 19.6t + 24.5
0 = –4.9t2 + 24.5t + 19.6
19.6 = –4.9t2 + 24.5t
24.5 = –4.9t2 + 19.6t
Toby picks a 6-digit number.
It is larger than 599,999 and it is a multiple of 5.
How many different numbers could he have picked?
Answer:
80,000 numbers.
Step-by-step explanation:
Since the number is 6-digits and is larger than 599,999, it would be between 600,000 and 999,999.
Between those two numbers (included), there are [tex]999999 - 600000 = 399999[/tex] numbers.
In addition, we know that the number is a multiple of 5. Therefore, we should divide this number by 5 to find how many of the numbers in that group are divisible by 5.
Since it's difficult dividing 399,999 by 5, I would divide 400,000 by 5, as we must also include 600,000.
[tex]\frac{400000}5 = 80000[/tex]
Find the inverse of each function. Is the inverse a function?
y=2 x³+10
The inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].
What is an inverse variation exactly?Inverse variation describes a relationship between two variables in which one increases while the other decreases.Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa.So,
All we have to do to find the inverse of an equation is switch the variables x and y.
x = 2y³ + 10Now, solve for y as follows:
2y³ = x - 10y³ = (x-10)/2y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex]Therefore, the inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].
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The denominator of a fraction is 2 more than its numerator. the reciprocal of this fraction is equal to the fraction itself. what is the sum of the numerator and denominator
Answer:
0
Step-by-step explanation:
You want the sum of numerator and denominator such that their difference is 2 and the reciprocal is equal to the original fraction.
SetupWe want a fraction such that ...
x/y = y/x
y = x +2
SolutionSubstituting for y, we have ...
x/(x +2) = (x +2)/x
x^2 = x^2 +4x +4 . . . . . cross multiply
0 = 4(x +1) . . . . subtract x^2, factor
x = -1 . . . . . . . . the value of x that satisfies the equation
Then the denominator is ...
y = x +2 = (-1) +2 = 1
The sum is ...
x +y = (-1) +1 = 0
The sum of numerator and denominator is zero (0).
Which expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power?
WHOEVER GETS IT RIGHT GETS A CROWN!!
The expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power is [tex]z^{-18}.y^{18}[/tex] .
The given expression is [tex](\frac{y^{-3}.z^5}{z^{-4.y^6}} )^{-2}[/tex]
Let us take the numerator terms to denominator.
When shifting numerator terms to denominator the sign of the power will be changed.
[tex](\frac{1}{z^{-4.y^6.y^{3}.z^{-5}}} )^{-2}[/tex]
Combine like terms in denominator:
[tex](\frac{1}{z^{-9}.y^9} )^{-2}[/tex]
[tex](z^9.y^{-9})^{-2}[/tex]
[tex]z^{-18}.y^{18}[/tex]
Hence, [tex]z^{-18}.y^{18}[/tex] is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power.
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Identify the like terms in the list.
15x 2, 17x, 12x 3, 3x
17x and 3x
15x2 and 12x3
15x2 and 3x
12x3 and 3x
Answer:
17x and 3x
Step-by-step explanation:
like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
If you invest $1,500 today in a bank that gives you 5% annual interest rate, which of theses items can you buy in two years
Answer: electronics worth $1,650
1500 (1+5%)^2 = $1653.75
3.75 dollars will be left over.
Step-by-step explanation:
The distance from Houston to San Antonio is 197 miles. If one mile is approximately 1.6 kilometers, how many kilometers represents the distance between the two cities?
123.13 km
320 km
315.2 km
194.4 km
Divide and simplify. 4√162 x⁴ / 4√2 y⁸
After dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ² / y⁴.
We are given the expression
4√162 x⁴ / 4√2 y⁸
We need to divide the expression and simplify it.
First, cancelling the terms that are same in the numerator and the denominator:
√162 x⁴ / √2 y⁸
Now , using the properties of the exponents, we get that:
= √81 x² / y⁴
= 9 x ² / y⁴
Therefore, after dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ² / y⁴.
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Suppose that the function f is defined, for all real numbers, as follows.
Find f(−4), f(−2), and f(3).
The values of f(−4), f(−2), and f(3) for given piecewise function are 0, -4, and -3.5 respectively.
What is piecewise function ?
Whenever the summation of two functions is different over different intervals, the sum is a piecewise function.
Here, the given piecewise function f(x) is :
[tex]\begin{aligned}f(x)&=\left\{\begin{matrix}\frac{-1}{2}x-2 \text{ if} \:x \neq -2&\\-4 \:\:\:\:\:\:\;\;\text{ if }x = -2\end{matrix}\right.\end{aligned}[/tex]
Now, let us find the value of f(-4) :
for x = -4 the function f(x) is (-1/2)x -2, substituting x = -4 in place x :
f(x) = (-1/2)x - 2
f(-4) = (-1/2)*(-4) - 2
f(-4) = 2 - 2
f(-4) = 0
similarly, for f(-2) :
for x = -2 the function f(x) is -4 only that is :
f(-2) = -4
For, let us find the value of f(3) :
for x = 3 the function f(x) is (-1/2)x -2, substituting x = 3 in place x :
f(x) = (-1/2)x - 2
f(3) = (-1/2)*(3) - 2
f(3) = -3/2 - 2
f(3) = - 3.5
Therefore, the values of f(−4), f(−2), and f(3) are 0, -4, and -3.5 respectively.
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An amusement park offers a ticket for $12.95 off the original price p. Write and solve an equation to find the original price
The original price of a ticket is a $56.95.
According to the statement
We have to find that the linear equation.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
An amusement park offers a ticket for $12.95 off the original price p.
Then
Discounted price is that the amount of sum that extracted from the initial price when buyers receive some style of leverage from the vendor. during this case, discounted price of the ticket is $44 which was $12.95 but the initial price.
Then the first price would be:
$44 + $12.95 = $56.95
So, The original price of a ticket is a $56.95.
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Quadrilateral A has a side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. Draw a sketch of Quadrilateral A or make a chart.
Sides of Quadrilateral A is 6, 9, 9 and 12.
It is given that Quadrilateral B is a scaled copy of Quadrilateral A,
and have shortest side = 2
To find the length of sides of quadrilateral, first we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown below :
B : A = 2 : 6 = 1 : 3
This shows that the quadrilateral B is 3 times smaller than A.
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Answer all of these with work please
Here we need to evaluate some mathematic expressions in some given values, we will get:
3x- 4 is equal to 17 when x = 7.
-5x + 8 is equal to -7 when x = 3.
How to evaluate expressions?Here we have some expressions that we need to evaluate. Evaluating an expression means that we replace the variables (usually denoted by letters) with numerical values.
The first expression is:
3x- 4
And we we want to evaluate it in x = 7.
So just replace the x by the number 7 and then do the operations:
3*7 - 4 = 21 - 4 = 17
The expression is equal to 17 when x = 7.
Now let's do it again for second expression:
-5x + 8 with x = 3.
Replacing the variable by the number we get:
-5*3 + 8 = -15 + 8 = -7
So that is the basic procedure to evaluate mathematic expressions.
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help me out with this
Answer:
The graph of g(x) = -|x| - 8.
find angle measure GRS if QRS=179 and QRG= 105
Answer:
∠ GRS = 74°
Step-by-step explanation:
∠ GRS + ∠ QRG = ∠ QRS , that is
∠ GRS + 105° = 179° ( subtract 105° from both sides )
∠ GRS = 74°
Answer:
75°
Step-by-step explanation:
While it may appear that QRS is a straight line, it is not so since m∠QRS = 179° and if it was a straight line, it would be 180°
The figure actually represents three rays with endpoint at R
The three rays are RQ, RS and RG
Draw another ray RT with endpoint at R and opposite to ray RG. Opposite rays have angles that add up to 180°
Therefore m∠GRT = 180°
m∠SRT = m∠QRG since they are opposite angles
Since m∠QRG = 105°, therefore m∠SRT = 105°
m∠GRS + m∠SRT=180° since these angles are formed by two opposite rays
Substituting we get
m∠GRS + 105 = 180
m∠GRS = 180-105 = 75°
1. A machine on a production line
packages calculators at a steady
rate. After 10 minutes, it has
packaged 25 calculators, and after
30 minutes it has packaged
75 calculators.
Complete the equation to model
the number of calculators, y, the
machine has packaged after
x minutes.
Please help !!!
The equation which models the number of calculators packed by the machine in certain minutes is x = 2.5y
No. of calculators packed after 10 minutes = 25 calculators
No. of calculators packed after 30 minutes = 75 calculators
Using the unitary method for finding calculators packed in a minute,
10 minutes = 25 calculators
1 min = 25/10 = 2.5 calculators
Let x be the number of minutes the machine is running
Let y be the number of calculators packed
Formulation of the equation we get:
x = 2.5y
Hence, the equation which gives the number of calculators packed after certain minutes is given by: x = 2.5y
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In Δ ABC, a=8m, b=5 m , and c=10 m . Find m∠ A .
Answer:
arccos(51/100)
Step-by-step explanation:
By the Law of Cosines,
[tex]a^2 = b^2 + c^2 - 2bc \cos A \\ \\ a^2 - b^2 - c^2=-2bc \cos A \\ \\ \cos A=\frac{b^2 + c^2 - a^2}{2bc} \\ \\ m\angle A=\arccos \left(\frac{b^2 + c^2 - a^2}{2bc} \right) \\ \\ =\arccos \left(\frac{10^2 + 5^2 - 8^2}{2(5)(10)} \right) \\ \\ =\arccos(51/100)[/tex]
Round 12,345.6789 to the nearest ten thousand
Answer:
10000
Step-by-step explanation:
Victor walked 6.4 kilometers on Sunday, and he will also walk to school a few times this
week. Each round trip is 1.9 kilometers long. If Victor walks to school 3 days this week, what
will be his total walking distance for the week?
Write and solve an equation to find the answer.
kilometers
The total walking distance of the week is 12.1 km.
What are equations?An equation, in its most basic form, is a mathematical statement that shows that two mathematical expressions are equivalent. For example, 3x + 5 = 14 is an equation wherein the expressions 3x + 5 and 14 are separated by a 'equal' sign.So, let the total walking distance be 'x'.
Then,
6.4 + 1.9 + 1.9 + 1.9 = x6.4 + 5.7 = x12.1 = xSo, x = 12.1 km.Therefore, the total distance of walking in the week is 12.1 km.
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Josh is looking for the best deal on a refrigerator that has a wholesale price of $549. Help him compare the price of the refrigerator at two different stores by completing the following.
a) Josh goes to the super store that marks up the refrigerator’s wholesale price 50%. Ignoring tax, how much would he pay for the refrigerator at this store?
b) Josh then looks at the refrigerator in a department store that marks up the refrigerator’s wholesale price 60%. But because of customer loyalty program, he would receive a 10% discount off the in-store price. Ignoring the tax, how much would he pay for the refrigerator at this store?
pls help i hope this makes sense!!
Answer:
B store is cheaper since 790.56<823
B price<A price
Step-by-step explanation:
A:
549(0.5)=274
264+549=823
Josh need to pay the refrigerator for $823 in this store without tax.
B:
549(0.6)= 329.4
329.4+549=878.4
878.4(09)=790.56
Josh need to pay $790.56 in this store without the tax.
C:
B, department store is cheaper so he could pay less
Solve each equation.
log₈2=x
The value of x for the equation log₈2=x is 0.333
What are the properties of logarithmic functions?Logarithmic function properties. You have encountered several characteristics during your study of algebra, including the commutative, associative, and distributive properties. These characteristics make it easier to simplify a complex statement or equation. With logarithms, the same holds true.
Given,
log₈2=x
It can be expressed in the form -
2 = 8ˣ
2 = 2³ˣ
As base is same -
1 = 3x
x = 1/3
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Write each logarithmic expression as a single logarithm.
5 log₇2-2 log₇y
Expression as a single logarithm of 5 log₇2-2 log₇y is Log (2x/3y).
What is natural logarithm?Log a + Log b = Log ab
Log a - Log b = Log (a/b)
so starting with the bracket, we have;
Log 2 + Log X - Log 3y
Furthermore, we have;
Log 2x - Log 3y
Finally, we have;
Log (2x/3y)
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Ray BD bisects angle ABC.
Find m/ABD, m/CBD, and m/ABC.
B (7x
(3x + 6)°
18) C
Answer:
The two smaller angles equal 24 and together they equal 48
Step-by-step explanation:
The bisector tells us that the smaller angles equal each other
3x + 6 = 7x - 18 Subtract 3x from both sides
6 = 4x - 18 Add 18 to both sides
24 = 4x Divide both sides by 4
6 = x
Now, plug 6 back into each equation.
3x + 6
3(6) + 6
18 + 6
24
7x - 18
7(6) - 18
42 - 18
24