Answer:
I'd say 2
Step-by-step explanation:
The following quote is from a paper on the weight of the bottle as a possible extrinsic cue with which to estimate the price (and quality) of the wine.
The weight of the wine bottles was positively correlated
(r = 0.19)
with the price of the wines.
(a) Does the value of the correlation coefficient indicate that the relationship is weak, moderate, or strong? weak moderate strong
(b) What is the value ofr2?
Write a sentence that gives an interpretation of this value. (Round the first part to 4 decimal places, and the second part to 2 decimal places).
The value of r2 = .
Approximately % of the variation in price of the wine can be explained by the linear relationship between price and weight of the wine bottles.
Answer: D
n
Step-by-step explanation: hope this help
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
Need help with my geometry homework grade due to
The surface area of the base ball to the nearest whole number is 26 in²
What is surface area of a sphere?A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of a sphere is expressed as;
SA = 4πr²
where r is the radius and it's calculated as;
C = 2πr
9 = 2πr
r = 4.5/π =
SA = 4 π × (4.5/π)²
SA = 81/π
SA = 26 in²( nearest whole number)
Therefore the surface area of the sphere is 26 in²
learn more about surface area of sphere from
https://brainly.com/question/16519513
#SPJ1
Solve log (3x + 4) = log (x – 2) + 3 log 2
Answer:
x + 4
Step-by-step explanation:
Sine the bases are all the same, I can write the equation:
3x+4 = (x-2) 2^3 When we are adding with logs, that means to multiple. Also, when we have 3 log 2, that can be written as 2^3 or 8 (2x2x2)
3x+4=(x-2)8
3x+4 = 8x-16
4=5x-16
20 = 5x
4=x
The table shows the proportional relationship between a hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 120 days of hibernation? Use pencil and paper. Explain how you know that the relationship between the hedgehog's weight loss and the number of days of hibernation is proportional.
Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz
Proportional relationships are defined thus :
y = kx k = constant of proportionalityTaking a piar of points :
-0.24 = 8k
Divide both sides by 8
(-0.24/8) = k
k = - 0.03
Hence, hedgedog loses weight at a rate of - 0.03 oz per day.
The amount of weight lost in 120 days :
The proportional relationship = y = - 0.03x
Substitute x into the equation
y = -0.03(120)
y = - 3.6 oz
Therefore, the amount of weight lost in 120 days is 3.6 oz.
Learn more : https://brainly.com/question/25308816
Use the graph to evaluate the function for the given input value.
f(−1) =
f(1) =
The evaluation of the function for the given f(-1), f(1) input value is mathematically given as
f(-1) = -8f(1) = -12What is the evaluation of the function for the given f(-1), f(1) input value?In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain. Historically, functions have been seen as an idealization of the way in which one variable relies on another variable.
-1 and 1 are both considered to be input when evaluating the function f, which is represented by the graph.
Since the inputs are on the x-axis, the graph demonstrates that the value of the function f at -1 is about -8 when x equals -1.
When x equals 1, the value of the function f is close to -12.
Read more on function at
https://brainly.com/question/12431044
#SPJ1
Please help me with this question please
Below is the graph of . Translate it to make it the graph of . y2468-2-4-6-8x2468-2-4-6-8
The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Therefore, we have the following:
f(x) = x^2
g(x) = f(x - 1) + N
g(x) = (x - 1)^2 + 3
Read more on translation here: brainly.com/question/16486008
#SPJ1
Select the correct answer from each drop down menu
Central angle ∠C and circumscribed angle ∠S intersect the same arc, so the angles are supplementary. Central angle ∠C and inscribed angle ∠R intersect the same arc, so m∠R is half the measure of central angle ∠C.
What makes the angles supplementary?Central angles are angles that have their vertex at the center of the circle. Circumscribed angles are angles that are formed by two tangents to a circle that intersect at a point outside the circle. Inscribed angles are angles that are formed by two chords in a circle that intersect at a point inside the circle.
The measures of central angles and circumscribed angles are always supplementary, which means that their measures add up to 180 degrees. Inscribed angles, on the other hand, are always half the measure of the central angle that intersects the same arc.
In the diagram, central angle ∠C and circumscribed angle ∠S intersect the same arc, so they are supplementary. Central angle ∠C and inscribed angle ∠R also intersect the same arc, so m∠R is half the measure of central angle ∠C.
Therefore, the correct answers are supplementary and half.
Find out more on supplementary here: https://brainly.com/question/12919120
#SPJ1
Answer this correctly I’ll give u brainalist + 10 points
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Step-by-step explanation:
there is not much to do.
the formulas are already given.
so, I define 3 simple numbers for the radius :
1, 2, 3
and we put this into the formulas.
the diameter of a circle is 2 times the radius, so
2, 4, 6
volumes of the spheres :
(4/3)×pi×r³ = (4/3)×pi×1³ = (4/3)×pi = 4.188790205...
(4/3)×pi×r³ = (4/3)×pi×2³ = (4/3)×pi×8 = 33.51032164...
(4/3)×pi×r³ = (4/3)×pi×3³ = (4/3)×pi×27 = 113.0973355...
volumes of the cylinders
pi×r²×h = pi×1²×2 = 2pi = 6.283185307...
pi×r²×h = pi×2²×4 = 16pi = 50.26548246...
pi×r²×h = pi×3²×6 = 54pi = 169.6460033...
Miriam buys the chair shown. The tax rate is . How much was the tax on the chair?
The tax on the chair is $7.50.
What is a tax?A tax is a mandatory financial charge or other sort of levy imposed by a governmental entity on a taxpayer in order to fund government spending and related public expenses.
The tax rate is the ratio at which a firm or individual is taxed in a tax system. A tax rate can be presented in numerous ways: statutory, average, marginal, and effective.
Let the cost of the chair be $150 and the assumed tax rate be 5%.
In this case, the tax on the chair will be:
= Tax rate × Cost of chair
= 5% × $150
= 0.05 × $150
= $7.50
Note that an overview was given as the information is incomplete.
Learn more about tax on:
brainly.com/question/25783927
#SPJ1
If 11% of a number equals 12, find 66% of that number
Answer: 72
Step-by-step explanation:
0.11*a = 12
0.66*a = ?
Hint: We don't need to find a to answer this question! Just find the relationship with these equations.
0.66*a = 6*(0.11*a) = 6*12 = 72
The triangles are similar. Find side length x.
Answer:
Step-by-step explanation:
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
To know more about line, visit:
https://brainly.com/question/30003330
#SPJ1
Pete asks Buzz for a truss with angles of 60°, 90°, and 30°. (He does not give side lengths.)
Is this enough information for Buzz to make a truss with the correct size and shape?
Explain.
Find the six trigonometric functions of 0 in simplest radical form. Rationalize all fractions.
step 1
Find the hypotenuse of the right triangle
applying Pythagorean theorem
c^2=2^2+3^2
c^2=4+9
\(c=\sqrt[]{13}\)step 2
Find sin(theta)
we have
\(\sin (\theta)=\frac{2}{\sqrt[]{13}}\)simplify
\(\sin (\theta)=\frac{2}{\sqrt[]{13}}=\frac{2\sqrt[\square]{13}}{13}\)opposite side divided by the hypotenuse
step 3
Find cos(theta)
\(\cos (\theta)=\frac{3}{\sqrt[\square]{13}}\)adjacent side divided by the hypotenuse
simplify
\(\cos (\theta)=\frac{3}{\sqrt[\square]{13}}=\frac{3\sqrt[]{13}}{13}\)step 4
find tan(theta)
\(\tan (\theta)=\frac{2}{3}\)opposite side divided by the adjacent side
step 5
find cot(theta)
\(\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{3}{2}\)adjacent side divided by the opposite side
step 6
Find sec(theta)
\(\sec (\theta)=\frac{1}{\cos (\theta)}=\frac{\sqrt[]{13}}{3}\)hypotenuse divided by the adjacent side
step 7
Find csc(theta)
\(\csc (\theta)=\frac{1}{\sin (\theta)}=\frac{\sqrt[]{13}}{2}\)hypotenuse divided by the opposite side
The farmer needed to fertilize 520 apple trees. He fertilized 20
trees per day for 10 days. After that, he had to finish the rest in
8 days. How many apple trees did he have to fertilize per day
in the rest of the time?
apple trees per day
Answer: 40 is the answer
Step-by-step explanation:
Farmer fertilized 20 trees per day for 10 days=20*10=200
total trees- fertilized tree=leftover trees
520-200=left over trees
320=left over trees
per day fertilized tree=left over trees /8
per day fertilized trees=320/8
per day fertilized trees=40
If this answer help you mark me brainlist
For each shape, write an algebraic expression for its perimeter - part A and B
SEE PIC PROVIDE OF PERIMETER
Answer:
a) p + q + r
b) 2(a + b)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
An algebraic expression contains one or more numbers, variables, and arithmetic operations.
A variable is a symbol (usually a letter) that represents an unknown numerical value in an equation or expression.
Question (a)
The length of each side of the triangle is labeled p, q and r. Therefore, the perimeter is the sum of the sides:
Perimeter = p + q + r
So the algebraic expression for the perimeter of the triangle is:
p + q + r
Question (b)
Not all of the sides of the shape have been labeled.
However, note that the horizontal length labeled "a" is equal to the sum of "c" and the horizontal length with no label.
Similarly, note that the vertical length labeled "b" is equal to the sum of "d" and the vertical length with no label.
Therefore, the perimeter is twice the sum of a and b:
Perimeter = 2(a + b)
So the algebraic expression for the perimeter of the shape is:
2(a + b)
What were the
prominent primary, secondary and tertiary effects the disaster brought?
B=5 b+(bx2x3)-5 plz help
Answer:
Step-by-step explanation:
12
A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height. how many unit cubes fill the box A:90
B:10
C:30
D:33
Answer:
C. 30.
Step-by-step explanation:
Each cube has a volume of 1 * 1* 1 = 1 cu cm.
The answer is 30 unit cubes because 30 *1 = 30.
The box is filled with 30 unit cubes.
The formula to calculate the volume of a cube: -For a cube with side length 'a' volume V is,
\(V=a^{3}\) cubic units
In this question, a box has a volume of 30 cubic cm.
The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.
Let \(V_{s}\) represents the volume of each unit cube and \(V\) represent the volume of the box.
The length of each side of a unit cube is 1 cm.
So, \(V_{s}=(1)^{3}\)
⇒ \(V_{s}=1\) cubic cm
Let there are n unit cubes filled in the box.
⇒ \(V=n\times V_{s}\)
⇒ \(30=n\times 1\)
⇒\(n=30\)
Therefore, 30 unit cubes are filled in the box.
Hence, option C. 30 is the correct answer.
Learn more about cube here:
https://brainly.com/question/11168779
#SPJ2
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
For more such on questions on percentage
https://brainly.com/question/30744872
#SPJ8
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
Egbert wants to establish a fund for his grandchild's college education. What lump sum must he deposit at a 7% annual interest rate, compounded quarterly, in order to have $40,000 in the fund at the end of 10 years? Fill in the values, plug into the formula, use algebra and your calculator to get the result. Round to the nearest cent.
Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.
To calculate the required lump sum deposit, we can use the formula for compound interest:
A = P\((1+r/n)^{nt}\)
Where:
A = the future value (desired amount in the fund) = $40,000
P = the initial principal (lump sum deposit we need to find)
r = the annual interest rate in decimal form = 7% = 0.07
n = the number of compounding periods per year = 4 (quarterly compounding)
t = the number of years = 10
Plugging in these values, the formula becomes:
$40,000 = P\((1+(0.07/4)^{(4*10)}\)
Simplifying further:
$40,000 = P\((1.0175)^{40}\)
Now we can solve for P by dividing both sides of the equation by
P = $40,000 /\((1.0175)^{40}\)
Using a calculator to evaluate the expression, we find:
P ≈ $19,602.52
Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.
know more about interest rate here:
https://brainly.com/question/25793394
#SPJ11
The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below.
C(x) = 54,000 + 240x + 4x^3/2
Required:
a. Find the total cost at a production level of 1000 units.
b. Find the average cost at a production level of 1000 units.
c. Find the marginal cost at a production level of 1000 units.
d. Find the production level that will minimize the average cost.
e. What is the minimum average cost?
Answer:
a. C(1,000) = 420,491.11
b. c(1,000) = 420.49
c. dC/dx(1,000) = 429.72
d. x = 900
e. c(900) = 420
Step-by-step explanation:
We have a cost function for x units written as:
\(C(x) = 54,000 + 240x + 4x^{3/2}\)
a. The total cost for x=1000 units is:
\(C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11\)
b. The average cost c(x) can be calculated dividing the total cost by the amount of units:
\(c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49\)
c. The marginal cost can be calculated as the first derivative of the cost function:
\(\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72\)
d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.
\(c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900\)
e. The minimum average cost is:
\(c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420\)
What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
For more such quaetions on simplifies
https://brainly.com/question/29369267
#SPJ8
|-4| ___ -7
a. <
b. >
c. =
Answer:
b
Step-by-step explanation:
What is the lowest common denominator of 1/7,1/2,1/4, and 1/6?
Answer:
I think its 48
Step-by-step explanation:
miltiplication/times tables