If Kurt milked 21 goats, then it will take 7/2 hours.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Here, we have
Given
The proportional relationship between the number of hours milking, x, and the number of goats milked by Kurt, y, can be modeled by the equation y = 6x.
We have to find out if Kurt milked 21 goats, and how many hours did it take.
y = 6x
if Kurt milked 21 goats, then
21 = 6x
x = 21/6
x = 7/2
Hence, if Kurt milked 21 goats, then it will take 7/2 hours.
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bonjour
voici un programe de calcul
.choisir un nombre relatif
.multiplier par-3
.ajouter -5
1quel nombre obtient-on avec ce programme lorsqu'on choisit au départ:
a.7 ? b.-4 ?
2. Léa a obtenu 1avec ce programme de calcul.
quel nombre avait-elle choisi au départ
Answer:
1a. -26
1b. -17
2. -2
Step-by-step explanation:
1.
a.
7
7 × (-3) = -21
-21 + (-5) = -26
b.
-4
-4 × 3 = -12
-12 + (-5) = -17
Formule:
r = -3n - 5
2.
r = -3n - 5
1 = -3n - 5
-3n = 6
n = -2
What is the perimeter, in units, of ΔABC
Δ
A
B
C
with A(−1,−6)
A
(
−
1
,
−
6
)
, B(7,−6)
B
(
7
,
−
6
)
, and C(3,−3)
C
(
3
,
−
3
)
?
Answer:
To find the perimeter of triangle ABC, we need to find the lengths of all three sides of the triangle. To do this, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).
Applying this formula, we can find the lengths of the sides of the triangle as follows:
AB = sqrt((7 - (-1))^2 + (-6 - (-6))^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8
BC = sqrt((3 - 7)^2 + (-3 - (-6))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
AC = sqrt((-1 - 3)^2 + (-6 - (-3))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
Thus, the perimeter of triangle ABC is 8 + 5 + 5 = 18 units.
A cylindrical container has radius 1 m.
The cylinder contains 628 litres of water.
Calculate depth of water in the cylinder giving your answer in cm
take pi to be 3.14
The depth of water in the cylinder is 20 cm
How to calculate depth of water in the cylinderFrom the question, we have the following parameters that can be used in our computation:
Volume = 628 litres
Radius = 1 m
Convert litres and meters to cm cube and cm
So, we have the following representation
Volume = 628000 cm cubed
Radius = 100 cm
The volume is the calculated as
V = πr²h
So, we have
628000 = 3.14 * 100² * h
Evaluate
628000 = 31400 * h
Divide by 31400
h = 20
Hence, the height is 20 cm
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The table below shows that the number of miles driven by Hakeem is directly proportional to the number of gallons he used.
\text{Gallons Used}Gallons Used \text{Miles Driven}Miles Driven
3636 1274.41274.4
4141 1451.41451.4
4545 15931593
\text{What is the rate of gas usage, in miles per gallon?}
What is the rate of gas usage, in miles per gallon?
The rate of gas usage, in miles per gallon, is 35.4 miles/gallon.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, A table below shows that the number of miles driven by Hakeem is directly proportional to the number of gallons he used.
According to the table,
There are 36, 41, 45 gallons of gas are used for 1274.4 mile, 1451.4 and 1593 miles respectively,
So, for finding unit rates, we will divide the total mile to total gallons used, in one journey,
unit rate = 1593/45 = 1274.4/36 = 1451.4/41 = 35.4
Hence, The rate of gas usage, in miles per gallon, is 35.4 miles/gallon.
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HELP THIS IS DUE TODAY
(-9-√-32)-(2+√-8)
Answer:
[tex]-11-6i\sqrt{2}[/tex]----------------------------------------------------
Simplify the expression:
[tex](-9-\sqrt{-32} )-(2+\sqrt{-8} )=[/tex][tex](-9-\sqrt{-1*2*16} )-(2+\sqrt{-1*2*4} )=[/tex][tex](-9-4i\sqrt{2} )-(2+2i\sqrt{2} )=[/tex][tex]-9-4i\sqrt{2} -2-2i\sqrt{2} =[/tex][tex]-11-6i\sqrt{2}[/tex]Answer:
[tex]-11-6\sqrt{2}\:i[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(-9-\sqrt{-32}\right)-\left(2+\sqrt{-8}\right)[/tex]
Remove the parentheses:
[tex]\implies -9-\sqrt{-32}-2-\sqrt{-8}[/tex]
Rewrite -32 as 16 · 2 · -1 and rewrite -8 as 4 · 2 · -1 :
[tex]\implies -9-\sqrt{16 \cdot 2\cdot -1}-2-\sqrt{4 \cdot 2\cdot -1}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\implies -9-\sqrt{16} \sqrt{2} \sqrt{-1}-2-\sqrt{4}\sqrt{2}\sqrt{-1}[/tex]
Simplify and apply the imaginary number rule √(-1) = i
[tex]\implies -9-4\sqrt{2}\:i -2-2\sqrt{2}\:i[/tex]
Group like terms:
[tex]\implies -9-2-4\sqrt{2}\:i -2\sqrt{2}\:i[/tex]
Combine like terms:
[tex]\implies -11-6\sqrt{2}\:i[/tex]
Find g(x), where g(x) is the reflection across the x-axis of f(x)=4x+10
Answer:
To find the reflection of a function across the x-axis, we simply need to change the sign of the y-coordinates of the function's points. Therefore, the reflection of f(x) = 4x + 10 across the x-axis is g(x) = -(4x + 10) = -4x - 10.
Step-by-step explanation:
To find the reflection of a function across the x-axis, we can follow these steps:
Start with the equation of the original function, which in this case is f(x) = 4x + 10.Change the sign of the y-coordinates of the function's points. This means that we need to multiply the entire equation by -1.Substitute the result from step 2 into the original equation to find the reflected function. In this case, we get g(x) = (-1)(4x + 10) = -4x - 10.Here is an example of how this works in practice. Let's say that the original function f(x) has the points (1,14) and (2,18).
The reflection of these points across the x-axis would be (1,-14) and (2,-18), respectively.
To find the equation of the reflected function g(x), we would simply substitute these points into the equation from step 3 to get g(x) = -4x - 10.
Super Express Couriers charges a postage fee of Rs 2 for each gram of the weight of a parcel and an additional flat rate of Rs 30.
If Kevin's postage fee was 150 less than 5 times the weight of his parcel, how much did his parcel weigh?
Answer:
Step-by-step explanation:
я хз
The weight of Kevin's parcel is 60 g.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a postage fee of Rs 2 for each gram of the weight of a parcel and an additional flat rate of Rs 30. and Kevin's postage fee was 150 less than 5 times the weight of his parcel,
Let the weight of the parcel be x
Establishing the equations,
5x - 150 = 30 + 2x
5x - 2x = 30 + 150
3x = 180
x = 180/3
x = 60
Hence, the weight of Kevin's parcel was 60g
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I need help ive been trying to figure them out for an hour and i also want to know if some are correct
The correct answer for question 1 is C) CA=XY
what is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure.
Given here ΔABC≅XYZ
Therefore AB=XY , BC=YZ , AC=XZ & ∠A=∠X , ∠B=∠Y , ∠C=∠Z but clearly CA≠XY
The full diagram is attached please refer to the diagram for clarity
Hence, option c is the correct answer.
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FILL IN THE BLANK. a contingency table would be used to summarize data such as ________.
Answer: Multiple choice
Step-by-step explanation: A contingency table would be used to summarize data such as Multiple Choice company employees by gender and organizational title company employees by gender and age company employees by compensation and age company employees by compensation and years with the company.
Multiply. 4x(y + x + 2)
Step-by-step explanation:
4xy + 4x² + 8x
Can also be rearranged as
4x²+8x+4xy
Describe how to shift the ordered pairs to create a sketch of the function.
shift left by 7 and down by 1
shift right by 7 and down by 1
shift right by 7 and up by 1
shift left by 7 and up by 1
Answer:
the 4th answer option : shift left by 7 and up by 1
Step-by-step explanation:
the "+1" at the end is simply adding 1 to every y (function result) of f(x). so, that moves everything up by 1.
the "+7" in the function argument is a little bit more complex : it means that the function value of x is the function value that would have been originally created for x+7. so, it happens 7 units "earlier". therefore, this means a shift to the left.
Select the correct answer from each drop-down menu.
Consider absolute value function f.
ƒ(x) = -²|x + 4|
The vertex of the function is a
Answer:
the vertex is a maximum at (-4,0)
Step-by-step explanation:
The figure shows line segment JK and a point P that is not collinear with points J and K.
Suppose that line segment J'K' is the image of line segment JK after a dilation with scale factor 0.5 that is centered at point P. Which
statement best describes the position of line segment J'K"?
It will be parallel to the JK line segment.
What are Parallel Sides ?
If two sides of a geometric shape are not touching or crossing each other and their separation is constant, they are said to be parallel. A shape's parallel sides are opposed, or across from one another, and if they were stretched infinitely beyond the boundaries of the shape, they would not intersect.
According to the given information
Now if a line segment [tex]$3 K$[/tex] is dilated by factor [tex]$0.5$[/tex] about [tex]$p$.[/tex]
The image 3'G' will be of half length as JK and every point on JK at P will be of at half distance.
Therefore,
It will be parallel to the JK line segment.
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ELYSE OWNS 2,000 SHARES OF A
CORPORATION THAT PAYS A QUARTERLY
DIVIDEND OF $0.51 PER SHARE. HOW MUCH
SHOULD SHE EXPECT TO RECEIVE IN A YEAR?
Using the mathematical operations of multiplication, if Elyse owns 2,000 shares of a corporation that pays a quarterly dividend of $0.51 per share, she should expect yearly dividends of $4,080.
What are mathematical operations?Mathematical operations involve the use of operands and mathematical operators to solve mathematical problems.
Mathematical operations follow the PEMDAS rule, which states that Parentheses, Exponents, Multiplication, and Divisions in that order should be solved first before Additions and Subtractions.
The number of shares owned = 2,000
Quarterly dividend per share = $0.51
Quarters in a year = 4
Yearly dividends = $4,080 (2,000 x $0.51 x 4)
Thus, applying the multiplication operation, the annual dividend Elyse should receive is $4,080.
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in the triangle below, with right angle
Each heet of metal on a roof i perpendicular to the top line of the roof. What can you conclude about the relationhip between the heet of roofing? Jutify your anwer
The sheets of metal on the roof must be parallel to each other in order to be perpendicular to the top line of the roof. This means that the sheets of metal are parallel to each other and that their relationship is one of parallelism. This parallelism is necessary so that the roof can maintain its structure and be waterproof.
The relationship between sheets of metal on a roof is one of parallelism. This is because each sheet must be perpendicular to the top line of the roof in order to maintain the structure and be waterproof. In order for the roof to remain secure and waterproof, the sheets must be parallel to each other. This parallelism is necessary in order for the roof to form one complete structure and for the sheets to remain secure. Without the parallelism of the sheets, the roof would be unable to maintain its structure and could easily be damaged by wind and rain. This is why the relationship between the sheets of metal on a roof is one of parallelism.
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Question 8 of 10
f(x) = x +4
g(x) = 3x² - 7
Find (f.g)(x).
O A. (f.g)(x) = 3x³ + 12x² - 7x - 28
O B. (f.g)(x) = 3x³ + 12x² + 7x + 28
O c. (f.g)(x) = 3x³ - 28
OD. (f g)(x) = 3x³ +28
The composite function (f.g)(x) has a value of (d) (f.g)(x) = 3x³ + 12x² - 7x - 28
How to determine the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x +4
g(x) = 3x² - 7
The composite function is given as
(f.g)(x)
This is calculated as
(f.g)(x) = f(x) * g(x)
Substitute the known values in the above equation, so, we have the following representation
(f.g)(x) = (x + 4) * (3x² - 7)
So, we have
(f.g)(x) = 3x³ + 12x² - 7x - 28
Hence, the function is (d) (f.g)(x) = 3x³ + 12x² - 7x - 28
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Stella is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Stella is riding for 7 miles? How much would a taxi ride cost that is m miles long?
Cost of ride, 7 miles:
Cost of ride , m miles:
The amount that would a taxi ride cost for 7 miles is $7.75 and The amount that would a taxi ride cost that is m miles long is $(2.5 + 0.75m).
What is the equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given:
The taxi charges $2.50 just for the pickup and then an additional $0.75 per mile driven,
Write the equation for the following statement,
y = 2.5 + 0.75x
Here, y is the total amount and x is the number of miles,
Calculate the cost of the ride, put x = 7
y = 2.5 + 0.75 × 7
y = 7.75
Calculate the cost of the ride, put x = m
y = 2.5 + 0.75m
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correlations based on a subset of all possible scores may be different than those based on the whole range. this concept is called
There may be differences between correlations based on a subset of all potential scores and correlations based on the entire range. Range restriction is the name given to this idea.
When observed sample data are not available across the complete range of interest, it is said to have a restricted range. The most typical situation is when there is a bivariate correlation between two normally distributed variables, one of which has a smaller range than is typically seen in the population as a whole. If data from the complete possible range were studied, the observed connection would be attenuated (lower) than it is in these situations.
Although the variables themselves are not under the researchers' control, correlations are used by researchers to determine whether a relationship between two or more variables exists. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical strategy for describing simple relationships without making a declaration about cause and effect.
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in the figure find the value of c in the interval [0, 4] on the x-axis that maximizes angle θ.
The angle θ is maximized when c = 2 (halfway between two points).
What is maximized angle?The maximum angle at which a conveyor may be inclined and still deliver a predetermined quantity of bulk material within a given time. As the maximum angle is approached, the rate of handling of bulk material is usually decreased.
Given that, in the figure, find the value of c in the interval [0, 4] on the x-axis that maximizes angle θ.
Express θ as a function of c, Let α be the angle to the left of θ and let β be the angle to the right, then,
tanα = 2/c
and tanβ = 2/(4-c)
At this point, we suppose that it might be easier to use cotangent in order to keep c inn numerator,
cotα = c/2
cotβ = (4-c)/2
We have, α+β+θ = π, so,
θ = π-α-β
= π-cot⁻¹c/2-cot⁻¹(4-c)/2
Differentiate, set equal to 0 and solve
dθ/dc = 1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2)
Put dθ/dc = 0
1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2) = 0
1/1+(c/2)²-1/1+(4-c/2)² = 0
1/1+(c/2)² = 1/1+(4-c/2)²
(4-c/2)² = (c/2)²
(c/2) = (4-c/2)
4-c = c
2c = 4
c = 2
Hence, The angle θ is maximized when c = 2 (halfway between two points).
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the perimeter of regular hexagon equals the perimeter of an equilateral triangle. if the area of the triangle is 10, what is the area of the hexagon?
If the perimeter of the regular hexagon equals to the perimeter of an equilateral triangle then the area of the hexagon is 18.
A hexagon can be be known as a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. first we have to write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle.
Let a be the side of equilateral triangle ∴ [tex]\sqrt{3}[/tex] /4 [tex]a^{2}[/tex] = 12
Perimeter of triangle = 3a = Perimeter of Hexagon
3a=6h ,where h is the side of hexagon.
⇒ h = 1/2 a
The area of the hexagon =6× [tex]\sqrt{3}[/tex]/4 [tex]h^{2}[/tex]
=6× [tex]\sqrt{3}[/tex]/4 . ( a/2 ) 2 = 6/4 ×12
= 18
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The universal set, &, and sets F and G
are defined below.
{integers from 1 to 14 inclusive}
F = {x: 1≤ x <5}
G = {x:3 < x≤ 9}
A value is chosen at random from §.
Work out P(FG).
Give your answer as a fraction in its
simplest form.
-
Answer:7/8
Step-by-step explanation:your mom
Can someone help me this is hard
Answer:
m ≥ 28.5
Step-by-step explanation:
He wants to bike at least 28.5 miles, like he did last year
also whats up with the anime tab TT no judgement tho
The library ha enough DVD’ to diplay equal number of them in group of 3, 5, or 9. What i the leat number of DVD the library can have?
The library ha enough DVD’ to diplay equal number of them in group of 3, 5, or 9. then the least number of DVD the library can have is 45
What is the function of DVD?
Short for digital versatile disc or digital video disc, a DVD or DVD-ROM is a disc capable of storing a significant amount more data than a standard compact disc. DVDs are widely used for storing and viewing movies and other data.
45 is the least common multiple of 3, 5, and 9.
45 can be equally divided by 3, 5, and 9:
45 ÷ 3 = 15
45 ÷ 5 = 9
45 ÷ 9 = 5
the least number of DVD the library can have is 45
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if a and b are independent events with p(a) = 0.35 and p(b) = 0.20, then, p(a è b) =
The probability of a intersection b, represented by P(a ∩ b) is equal to 0.07.
What is independent probabilityOne of the axioms of probability states that is two events say A and B are independent that is the probability of occurrence of one of them is not affected by the occurrence of the other, then P(A ∩ B) = P(A) × P(B)
We have from the question two events a and b which are said to be independent events,
P(a) = 0.35
P(b) = 0.20
then;
P(a ∩ b) = 0.35 × 0.20
P(a ∩ b) = 0.07
Therefore, the value 0.07 is the probability of the intersection of the two independent events a and b.
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Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.
The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.
What is an ordered pair?The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.
Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.
Given, Ramon is graphing the function f(x) = 3 + (4)x.
We know the initial value of a function is determined when the independent variable is set to zero.
Here the independent variable is 'x'.
Now, at x = 0,
f(0) = 3 + (4)(0).
f(0) = 3.
So, The ordered pair is (0, 3).
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Answer:
a
Step-by-step explanation:
kevin's shoe size is 12.5, what is the z score of kevin's shoe size compared to the normal population
Z-score of Kevin's shoe size compared to the normal population is, 2.5.
How to find comparation of Kevin shoe size to normal population?
A z-score is the standardized score which gives an idea about how far the data point is from the mean. This is the formula for z-score is defined as follows, Z = X - μ /б.Here X is the raw score, μ is the mean, and б is the standard deviation.The distribution of shoe sizes for males is approximately normally distributed with a mean of 10 and a standard deviation of 1. And Kevin's shoe size is given to be 12.5.Then, Z= 12.5 - 10 / 1 (formula for z-score), and z result was 2.5.Thus, we can say 2.5 is Z-score of Kevin's shoe size compared to the normal population.Learn more about Z-score calculation here: brainly.com/question/29187588
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7.6u-(30 divided by 6) + 12
Answer:
7.6u+7
Step-by-step explanation:
7.6u-(30/6)+12
30/6=5
7.6u-5+12
7.6u+7
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
-3/4
Step-by-step explanation:
equation of a line : y=mx+c
m= slope= 4/3
perpendicular slope is the inverse of m
this is because m1 * m2 = -1
thus perpendicular slope = -3/4
Complete the table to find 430 percent of 90.
A=
B=
100%
90
100%
90
Percent
100%
90
Using a
100%
90
a Diagram
30%
A
Total
430%
B
Answer:
387
Step-by-step explanation:
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.