the equation that best models the linearized data for a particular data set is log y=-0.02396x+4.8153.
a. what does the number -0.02296 tell you about the pattern exhibited by the points in the scatterplot of the original data set?
b. based on the equation, what is the value of y when x=0? show your work.
Answers
The number -0.02396 tell us about the slope of the pattern and the value of y when x = 0 is 4.8153
What does the -0.02396 tell you about the patternGiven that
y = -0.02396x + 4.8153
In the equation y = -0.02396x + 4.8153, we have
Slope = -0.02396
This means that the slope of the data is -0.02396
And as such it means that as the x values increase, the y values of the pattern decrease
The value of y when x = 0We have
y = -0.02396x + 4.8153
Set x = 0
So, we have
y = -0.02396 * 0 + 4.8153
Evaluate
y = 4.8153
Hence, the value of y when x = 0 is 4.8153
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Related Questions
need The sum of the base areas of the regular hexagons is
Answers
The prism is a right hexagonal prism.
The lateral area of the right hexagonal prism is 1008 square centimeters.
The sum of the area of a regular hexagon is 187.06 cm².
The surface area of the prism is 1196.06 cm².
We have,
7)
The prism is a right hexagonal prism.
8)
Perimeter = 6 x side length = 6 x 12 cm = 72 cm
Each rectangular face of the prism has a height of 14 cm and a width equal to one of the sides of the hexagon, which is 12 cm.
The area of each face.
= height x width
= 14 cm x 12 cm
= 168 cm²
And,
Lateral Area
= 6 x Area
= 6 x 168 cm²
= 1008 cm^2
9)
The formula for the area of a regular hexagon is given by:
Area = (3 x sqrt(3) / 2) x side length^2
Side length = 12 cm
Area = (3 x √(3) / 2) x 12²
Area = (3 x √(3) / 2) x 144
Area = 54 x √(3)
Area ≈ 93.53 cm² (rounded to two decimal places)
Now,
The sum of the area of a regular hexagon.
= 2 x 93.53
= 187.06 cm²
10)
There are 6 surfaces.
Each surface is in rectangular shape.
So,
Surface area
= 6 x (12 x 14)
= 1008 cm²
And,
The surface area of the prism.
= 1008 + 187.06
= 1196.06 cm²
Therefore,
The prism is a right hexagonal prism.
The lateral area of the right hexagonal prism is 1008 square centimeters.
The sum of the area of a regular hexagon is 187.06 cm².
The surface area of the prism is 1196.06 cm².
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I need some assistance with this ?
Answers
The missing side using the Pythagorean theorem is 10.2.
We have,
We see that,
Hypotenuse = 13
Base = x (say)
Height = 8
Now,
Applying the Pythagorean theorem,
Hypotenuse² = Base² + Height²
Substituting,
13² = x² + 8²
13² = 169
8² = 64
So,
169 = x² + 64
x² = 169 - 64
x² = 105
x = √105
x = 10.24
x = 10.2
Thus,
The missing side is 10.2.
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Khalil's dining room is 3 meters wide and 7 meters long. Khalil wants to install a new wood floor. It will cost $7.84 per square meter. How much will Khalil's new floor cost?
Answers
The total cost to install new wood floor in a room is $164.64.
Given that, Khalil's dining room is 3 meters wide and 7 meters long.
We know that, area of a rectangle is Area = Length×Width
Area of a room = 7×3
= 21 square meters
Total cost = Total area × Cost of per square meter
= 21×7.84
= $164.64
Therefore, the total cost to install new wood floor in a room is $164.64.
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[-/5 Points]
DETAILS GHCOLALG12 4.4.026.
Write a third-degree polynomial function with real coefficients and the given zeros. (Use x as your variable.)
7, i
P(x) =
Answers
The value of a third-degree polynomial function with real coefficients and the given zeros are,
⇒ P (x) = x³ - (i + 14)x² + (49 + 14i)x - 49i
We have to given that;
Zeroes of the polynomial are,
⇒ 7, i
Now, The value of a third-degree polynomial function with real coefficients and the given zeros are,
⇒ P (x) = (x - 7)² (x - i)
⇒ P (x) = (x² + 49 - 14x) (x - i)
⇒ P (x) = (x³ - ix² + 49x - 49i - 14x² + 14ix)
⇒ P (x) = x³ - (i + 14)x² + (49 + 14i)x - 49i
Thus, The value of a third-degree polynomial function with real coefficients and the given zeros are,
⇒ P (x) = x³ - (i + 14)x² + (49 + 14i)x - 49i
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In order to afford a down payment how much would Jocelyn need to save each year for the next three years to save $4000?
Answers
Jocelyn would need to save $1333.33 each year with 7% interest.
To calculate how much Jocelyn needs to save for the down payment over the next three years, we first need to determine the total down payment required. If the down payment is stated as $4000, then that is the total amount needed.
Assuming that Jocelyn wants to make the down payment in three years, we can calculate how much she needs to save each year by dividing the total down payment by three:
$4000 / 3 years = $1333.33 per year
So Jocelyn would need to save approximately $1333.33 each year for the next three years in order to have enough for the $4000 down payment.
Correct Question :
JUST $4000 DOWN PAYMENT!
LOW 7% INTEREST RATE!
5 YEARS TO REPAY YOUR LOAN!
In order to afford the down payment, how much will Jocelyn need to save for each of the next three years
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what is true about the modeling equation that best fits this data?
a. the modeling equation does not have extremum
b. the modeling equation has a point of inflection
c. the modeling equation is concave down
d. the modeling equation is concave up
Answers
Let f (x) = x - 4 . Graph g(x) = f (5x)
Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5
And what points would be plotted on a graph?
Answers
The graph of g(x) is on the image at the end, and the correct option for the transformation is B.
Which is the transformation applied?We define a horizontal dilation of scale factor k as:
g(x) = f(k*x)
if k > 1, we have a stretch.
if 0 < k < 1, we have a shink of scale factor 1/k
Here we have:
g(x) = f (5x) = 5x - 4
We can notice that k = 5, then we have a stretch, thus, the correct option is B.
The graph of function g(x) can be seen in the image at the end.,
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The table shows some values of x and y that satisfy the equation y = acosx" + b X 10 30 Find the value of y when x = 45 80 7 90 4 120 1 150 4-3√3 180
Answers
is y = acos(x) + b.
When x = 45, y = acos(45) + b = (sqrt(2)/2)a + b.
When x = 80, y = acos(80) + b.
When x = 90, y = acos(90) + b = 0 + b.
When x = 120, y = acos(120) + b.
When x = 150, y = acos(150) + b = (-sqrt(3)/2)a + b.
When x = 180, y = acos(180) + b = -a + b.
We need to know the values of a and b to find the exact values of y.
solve for 8v = 3v + 25
Answers
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
[tex]8v = 3v + 25[/tex]
[tex]8v - 3v = 25[/tex]
[tex]5v = 25[/tex]
Divide both sides by 5 to make v the subject:
[tex]v = 5[/tex]
On a given day, a greengrocer sold 81 oranges and 43 melons. Write the ratio of oranges to melons in the form 1: n. Give any decimals in your answer to 2 d.p.
Answers
Answer:
1 : 0.53Step-by-step explanation:
On a given day, a greengrocer sold 81 oranges and 43 melons. Write the ratio of oranges to melons in the form 1: n. Give any decimals in your answer to 2 d.p.
orange = 81
melons = 43
ratio 81 : 43
divide both side by 81
1 : 0.53
There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?
Answers
Step-by-step explanation:
how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
Answers
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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You roll a 6-sided die.
What is P(not 5)?
Answers
Answer:
The probability of rolling any number other than 5 is 5/6.
What expression is equivalent to 4 + (-4)?
Answers
The resistance, R, of a wire varies as its length and inversly as the square of its diameter. If the resistance of a wire 700ft long with a diameter of 0.2inches is 15611ohms, what is the resistance of 1800ft of the same type of wire with a diameter of 0.45inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredths)
Answers
The resistance of 1800 feet of the same sort of wire with a 0.45in diameter is roughly 15037.45 ohms.
How to find the resistance of 1800ft of the same type of wire with a diameter of 0.45inchesLet R be the resistance of the wire,
L be the length of the wire,
d be the diameter of the wire, and
k be a constant of variation.
Then we have the equation:
R = k * L / d^2
Solving for k to find the resistance of a wire of varying length and diameter.
We can create an equation using the information provided:
15611 = k * 700 / 0.2^2
Solving for k, we get:
k = 15611 * 0.2^2 / 700
k ≈ 0.1799
Using k to calculate the resistance of a wire with a length of 1800 feet and a diameter of 0.45 inches:
15037.45 ohms = 0.1799 * 1800 / 0.452 R
As a result, the resistance of 1800 feet of the same sort of wire with a 0.45in diameter is roughly 15037.45 ohms.
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Trig Functions
1. At what angles measures (x-axis values) is the sine graph at its maximum (highest point)
2. At what angle measures (x-axis values) is the sine graphs at its minimum (lowest point)
3. At what angle measures )x-axis values) does the sine graph cross the y-axis
4. At what (x-axis values) does the sine graph cross the z-axis?
5. For what angle measures (x-axis values) is the sine graph equal to or above the z-axis
Possible answers for all
0,90,180,270,360,-90,-270,-360,-180
Answers
The sine graph is at its maximum when the angle measure is an odd multiple of 90 degrees.
The sine graph crosses the y-axis at x = 0.
The sine graph is at its maximum when the angle measure is an odd multiple of 90 degrees, or equivalently, an odd multiple of π/2 radians.
The sine graph is at its minimum when the angle measure is an even multiple of 90 degrees, or equivalently, an even multiple of π/2 radians.
The sine graph crosses the y-axis at x = 0.
At this point, the sine function has a value of 0.
The sine graph does not cross the z-axis.
The z-axis is the axis perpendicular to the x-y plane, and the sine graph oscillates between positive and negative y-values, but never crosses the z-axis.
The sine graph is equal to or above the z-axis whenever its y-value is non-negative.
This occurs whenever the angle measure is between 0 and π radians, or between 2π and 3π radians, or between 4π and 5π radians, and so on.
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A recipe for cookies calls for 1 1/2 cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?
a. 9/14
b. 3
c. 3 1/2
d. 5 1/2
Answers
The requried 3 1/2 cups of chocolate chips would be needed for 7 dozen cookies, so the answer is (c).
The ratio of chocolate chips to cookies is 1 1/2 cups for every 3 dozen cookies. To find how much chocolate chips are needed for 7 dozen cookies, we can use the following proportion:
1 1/2 cups / 3 dozen cookies = x cups / 7 dozen cookies
where x is the unknown amount of chocolate chips needed for 7 dozen cookies.
To solve for x, we can cross-multiply and simplify:
(1 1/2 cups) * (7 dozen cookies) = (3 dozen cookies) * x
21/2 cups = 3x
x = 3.5
Therefore, 3 1/2 cups of chocolate chips would be needed for 7 dozen cookies, so the answer is (c).
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6. Roy reviews his purchases over a week. He spent $3.55 on coffee four
times, $10.76 and $15.35 on lunch, $55.27 on groceries, and $16.98 at the
hardware store. What is the average cost of the items he bought? State
what strategy you will use to answer the question, explain your choice,
and then find the answer.
Answers
Answer: herefore, the average cost of the items Roy bought is $14.07.
Step-by-step explanation:
To find the average cost of the items Roy bought, we need to add up the total cost of all his purchases and divide by the total number of purchases.
Strategy:
1. Add up the cost of all Roy's purchases.
2. Count the number of purchases.
3. Divide the total cost by the number of purchases to find the average cost.
Explanation:
We will use this strategy because it is a straightforward way to find the average cost of multiple items. We will add up all the costs and divide by the number of purchases to get the average cost.
Calculations:
Total cost = (4 x $3.55) + $10.76 + $15.35 + $55.27 + $16.98
Total cost = $14.20 + $10.76 + $15.35 + $55.27 + $16.98
Total cost = $112.56
Number of purchases = 4 (coffee) + 2 (lunch) + 1 (groceries) + 1 (hardware store)
Number of purchases = 8
Average cost = Total cost / Number of purchases
Average cost = $112.56 / 8
Average cost = $14.07
Therefore, the average cost of the items Roy bought is $14.07.
Set up an equation for x and solve to the nearest degree
Answers
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
PLEASE HELP
Part A:
List the three different types of visuals we use to organize all the possible outcomes in a sample space
1
2
3.
Part B:
Leena is arranging 3 different books in a row on a shelf. A detective story (D), a mystery story (M), and a comic book (C)
1. Pick one of the three types of visuals you listed in Part A to create a sample space for the arrangement of all possible outcomes for arranging the 3 books on a shelf. (1 point)
Fill in the Blank I will choose to create a
for this scenario
2. Create your visual either by hand or using technology
Answers
There are 6 different possible arrangements as obtained using the factorial method and they are :
DMC, CMD, DCM, MDC, CDM, MCD
Given that:
DETECTIVE STORY = D
MYSTERY STORY = M
COMIC BOOK = C
Now, To use the factorial method, we find the factorial value of the number of books to be arranged
Number of different possible arrangements = (number of books)!
Number of books = 3
Hence,
3! = 3 x 2 x 1 = 6 ways
The sample space :
DMC
CMD
DCM
MDC
CDM
MCD
Therefore, there are 6 different samples on the SAMPLE SPACE.
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Complete question is,
Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).
Source
StylesNormal
The measure of two angles are 22 and 85 degrees find the measure of the third angle
Answers
The triangle's third angle has a measure of 73 degrees.
The sum of the angles in a triangle is always 180 degrees. Let's call the third angle x.
So we have:
22 + 85 + x = 180
107 + x = 180
Subtracting 107 from both sides:
x = 73
Therefore, the measure of the third angle of the triangle is 73 degrees.
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If PQRS is a Rectangle, PR = 4x - 15, and QS = 3x + 5, what is the value of x?
Answers
The value of x is 20.
Given that a rectangle PQRS has diagonals PR = 4x - 15, and QS = 3x + 5, we need to find the value of x,
Since, we know that the diagonals of a rectangle are equal,
So,
PR = QS
4x-15 = 3x+5
x = 20
Hence the value of x is 20.
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Can someone please tell me what's the answer to convert 35 deca to km and m. my school is about to start
Answers
Answer:
1km:100decameter(dam)
Step-by-step explanation:
so 35dam:0.35km
and 35dam:0.00035m
You buy vegan shredded cheese in 5lb bags. Your recipe for burritos requires 3 ounces of vegan cheese per serving. How many servings can you make per 5lb bag
Answers
5 lb = 80 ounces (since 1 lb = 16 oz)
Next, we can divide the total weight of the bag by the amount of cheese needed for each serving:
80 oz / 3 oz per serving = 26.67 servings
However, we can't have a fraction of a serving, so we need to round down to the nearest whole number since we can't make a partial burrito.
Therefore, we can make 26 servings of burritos per 5lb bag of vegan shredded cheese.
what is the possibility of getting 9 heads out of 15 tries, flipping a coin?
Answers
The probability of getting exactly 9 heads out of 15 tries when flipping a fair coin is approximately 0.19638 or about 19.64%.
We have,
The probability of getting a head or a tail when flipping a fair coin.
= 1/2 or 0.5
Assuming the coin is unbiased and each flip is independent of the previous flips.
To find the probability of getting 9 heads out of 15 tries, we need to use the binomial probability formula:
= P(9 heads out of 15 tries)
= [tex]^{15}C_9[/tex] x (0.5)^9 x (0.5)^6
Now,
P(9 heads out of 15 tries)
= 5005 x (0.5)^9 x (0.5)^6
= 0.19638 (rounded to five decimal places)
Thus,
The probability of getting exactly 9 heads out of 15 tries when flipping a fair coin is approximately 0.19638 or about 19.64%.
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The 10 passengers on a small airplane have paid a total of $1,580 for the flight.
If an economy ticket cost $135 and a first-class ticket costs $250 , how many economy tickets were bought?
Answers
Answer:
8 people bought economy and 2 bought first class
Step-by-step explanation:
there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580
Use a graphing utility to find one set of polar coordinates of the point given in rectangular coordinates. Round your results to two decimal places.
(−9, 4)
Answers
The polar coordinates of the point (-9, 4) are approximately (9.85, -24.04°).
To find the polar coordinates (r,θ) corresponding to the rectangular coordinates (-9, 4), we can use the following formulas:
r = sqrt(x^2 + y^2)
θ = arctan(y/x)
Substituting the values x = -9 and y = 4, we get:
r = sqrt((-9)^2 + 4^2)
= sqrt(81 + 16)
= sqrt(97) ≈ 9.85
θ = arctan(4/-9)
= -0.42 radians
≈ -24.04 degrees
Therefore, the polar coordinates of the point (-9, 4) are approximately (9.85, -24.04°).
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Cinco más el recíproco de un número es igual a 11/5
Answers
Answer:
5 + 1/x = 11/5
Podemos simplificar esta ecuación multiplicando ambos lados por 5x, lo que da:
25x + 5 = 11x
Ahora, podemos resolver x aislando la variable en un lado de la ecuación:
25x - 11x = -5
14x = -5
x = -5/14
Por lo tanto, la solución a la ecuación es x = -5/14
Solve for x:
-5 - 3(6x-8) = -5x + 19
Show your work
Answers
Answer: x = 0
Step-by-step explanation:
simplify the expression
−5−3(6x−8)=−5x+19
−5−18+24=−5+19
19−18x=−5x+19
−18+19=−5+19
−5−3(6x−8)=−5x+19
−18x+19=−5x+19
−5−3(6x−8)=−5x+19
−18x+19=−5x+19
−18+19−19=−5+19−19
−18x=−5x+19 − 19
−18x+19−19=−5x+19 − 19
−18x=−5x
−18x+5x=−5x+5x
x=−5x+5x−13
x−13=−5+5
−13x=0
−13x/−13 = 0/-13
x= 0/−13
x= 0
-18x-5+24=-5x+19
-18x+19=-5x+19
19-19=-5x+18x
0=13x
Therefore x=0 (since 13 multiplied by 0 is 0)
Ezekiel spends t hours each night on his homework and 1/4
of this time studying math. Which equation represents the number of hours, h, Ezekiel will spend doing math homework during the next 5 days?
a. h = 5/4t
b. h = t/20
c. h = 20/t
d. h = 5t/4
Answers
The equation that represents number of hours "h" which Ezekiel spend doing "math-homework" during the next 5 days is (d) h = 5t/4.
If Ezekiel spends 1/4 of his time on math homework, then he spends 3/4 of his time on other subjects. This means that out of every 4 hours he spends on homework, he spends 1 hour on math and 3 hours on other subjects.
So, in "t" hours, he will spend "t/4" hours on math homework.
To find the number of hours he will spend on math homework during the next 5 days, we multiply the time he spends on math homework in one day by the number of days.
⇒ Number of hours spent on math homework in 1 day = t/4,
⇒ Number of hours spent on math homework in 5 days = 5 × (t/4) = 5t/4,
The required equation is h = 5t/4,
Therefore, the correct option is (d).
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