Answers
According to the solving the space between Arthur and Jamie are 39.1 meters.
What is a coordinate system?A coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
how to locate Distance between two points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=√((x2 – x1)² + (y2 – y1)²). is a typical formula for determining the separation between two places. Any two sites on an x-y plane or coordinate plane can have their distance between them calculated using this equation.
According to the given data:location of Arthur is (20, 30)
location of Jamie is (45, 60)
Let's apply the rule of distance to determine how far away they are because we know that :
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
let substituting the value we get:
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
d = √((45 - 20)² + (60 - 30)²)
= √(25)² + (30)²)
= 39.1
According to the solving the space between Arthur and Jamie are 39.1 meters.
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Related Questions
Create three probability application problems of your own. Solve your problems. Explain your answers.
Answers
The required problems on probability application are detailed below.
Probability is the study of chance represented as a proper fraction between 0 and 1 .
The manufacturing process of a particular rugby ball consists of two parts, a leather covering and a rubber bladder. The probabilities of defect in the leather covering is 5% and the probability of the rubber bladder is 15% respectively. What is the probability that the assembled Rugby ball will not have any defect.
Let A and B denote the event that a rugby ball is defective due to defects in the leather covering and the rubber bladder respectively.
Then we can say that P(A) = 5 / 100 = 1 / 20 and
P(B) = 15 / 100 = 3 / 20
Therefore P(A') = 1 - 1/20 = 19/20 and P(B') = 1 - 3 / 20 = 17 / 20.
P(A') and P(B') gives us the probabilities that the rugby ball will not have defective parts respectively.
Therefore the probability that the assembled product will not have any defect is:
P(A') × P(B')
[tex]=\frac{19}{20} \times \frac{17}{20}\\\\=\frac{323}{400} \\\\=0.8075[/tex]
Therefore the probability that the rugby ball will not have any defect is 80.75% .
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(2t + 5x 3) + (-9t - 4x + 7)
Answers
[tex]=2t+5x+3-9t-4x+7\\=2t-9t+5x-4x+3+7\\=-7t+x+10[/tex]
Be aware I used the plus sign for 3 since you DID NOT insert the sign. For Future purposes Be careful.
Answer: -7t+x+10 (if the 3 in your equation is positive)
Step-by-step explanation: Add all like variables and integers.
Evaluate. Write your answer as a whole number or as a simplified fraction.
Answers
Answer:
121
Step-by-step explanation:
11^6/11^4
= 11^(6-4)
= 11^2
= 121
The listed price of the pair of pants was $38, but the price with tax came to $39.14. Find the percent sales tax.
Answers
well, the difference is 39.14 - 38 = 1.14, so that's the tax.
if we take 38 to be the 100%, just the listed price alone, what is 1.14 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 38 & 100\\ 1.14& x \end{array} \implies \cfrac{38}{1.14}~~=~~\cfrac{100}{x} \implies 38x=114\implies x=\cfrac{114}{38}\implies x=3[/tex]
you are constructing a 12 cubic feet box that is open at the top. the material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. what dimensions should you use to minimize the cost of the materials? set up and solve using the lagrange method.
Answers
The length and breadth should be 2 feet each and height should be 3 feet to minimize the cost of the materials.
Let consider the length of the box =x
considering a square bottom ,
length = breadth = x
and let the height =h
The surface area of the box is
SA = x² + 4xh ( box is open from top )
cost of 1sq feet material for bottom =$3
cost of 1sq feet material for sides =$1
The cost functions can be written as
C = 3x² + 1(4xh)
C = 3x² + 4xh
Also the volume equation is
x²h = 12
h = 12/x²
substituting the value of h into the cost function.
C = 3x² + 4x (12/x²)
C = 3x² + 48/x
C = (3x³ + 48)/ x
Take the derivative of C and set it equal to zero. So we get
6x³ - 48 = 0
x³ = 48/6 = 8
x = 2
∴ h = 12/x²
h = 12/4
h = 3
This is the value of x and h that minimizes the cost.
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How many blocks would be in the 10th figure? (figure 1 is 1 block) figure 11 figure 15 figure 19 figure 22
Answers
The 10th figure will have 19 blocks.
What is Arithmetic Progression?An arithmetic progression (AP) is a sequence in which the differences between each successive term are the same. The formula Tₙ = a+(n-1)d finds the general term (or) nth term of an AP whose first term is 'a' and the common difference is 'd'.
In the given figures,
Figure 1 has 1 block.
Figure 2 has 3 blocks.
Figure 3 has 5 blocks.
We have to find the number of blocks in the 10th figure.
The number of blocks in the figures are forming an arithmetic progression of 1,3,5.....with a common difference of 2.
So the 10th term of AP can be calculated as,
[tex]T_{10} = 1 + (10 -1)2[/tex]
[tex]T_{10} = 1 + 9*2[/tex]
[tex]T_{10} = 19[/tex]
Therefore, the 10th figure will have 19 blocks.
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Which sequence exhibits the similarity between rectangles ABCD which A’B’C’D’ shown in the coordinates plane below
Answers
The sequence of transformation that exhibits the similarity between the rectangles ABCD and rectangle A'B'C'D' is the option C.
C. Rectangle ABCD is reflected across the y-axis and then dilated by a scale factor of 2 with the center of dilation at the origin to obtain rectangle A'B'C'D'
What is a reflection transformation in geometry?A reflection transformation of an object gives or produces the mirror image of the object about a specified line.
The coordinates of the points of the rectangle ABCD obtained from the graph are; A(-4, -4), B(-4, 4), C(2, 4), and D(2, -4).
The coordinates of the image of the rectangle ABCD (rectangle (A'B'C'D') are; A'(8, -8), B'(8, 8), C'(-4, 8) and D'(-4, -8)
The coordinates of the reflection of the point (x, y), following a reflection across the y-axis is the point (-x, y)
The vertices of the image of rectangle ABCD formed following a reflection across the x-axis are therefore;
A(-4, -4) [tex]\underrightarrow{R_{x-axis}}[/tex] A''(4, -4)
B(-4, 4) [tex]\underrightarrow{R_{x-axis}}[/tex] B''(4, 4)
C(2, 4) [tex]\underrightarrow{R_{x-axis}}[/tex] C''(-2, 4)
D(2, -4) [tex]\underrightarrow{R_{x-axis}}[/tex] D''(-2, -4)
The coordinates of the point (x, y) following a dilation by a scale factor of k, with the center of dilation at the origin is (k·x, k·y)
The dilation of the image of the rectangle ABCD by a scale factor of 2 gives;
A''(4, -4) [tex]\underrightarrow{D_{2}}[/tex] (2×4, 2×(-4)) = A'(8, -8)
B''(4, 4) [tex]\underrightarrow{D_{2}}[/tex] (2×4, 2×(4)) = B'(8, 8)
C''(-2, 4) [tex]\underrightarrow{D_{2}}[/tex] (2×(-2), 2×(4)) = C'(-4, 8)
D''(-2, -4) [tex]\underrightarrow{D_{2}}[/tex] (2×(-2), 2×(-4)) = D'(-4, -8)
The points of the image of rectangle ABCD following a a reflection and a dilation are A'(8, -8), B'(8, 8), C'(-4, 8) and D'(-4, -8), which are the same as the coordinates of the points of the given rectangle A'B'C'D'
The correct option is therefore option C;
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HELP PLEASE!!A(5,1), B(7,1), C(7,6), D(5,6) What is the perimeter of rectangle ABCD?
Answers
Pot the points (4, 4), (8, 4), (3, 1), and (7, 1) on the coordinate plane.Use the points to draw two parallel, horizontal segments. Label theendpoints of one segment A and B. Label the endpoints of the othersegment C and D What is the distance between points A and B?What is the distance between points C and D
Answers
Solution
The diagram below shows what is needed
As shown above
distance between points A and B is
[tex]4[/tex]distance between points C and D is
[tex]4[/tex]Which expressions are equivalent to ✓-27?
3i√3
91√√/3
O √27i
O i√27
3√/91²
Answers
The expression for [tex]\sqrt{-27}[/tex] is 3i[tex]\sqrt{3}[/tex]
What is an expression?
Expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
given [tex]\sqrt{-27}[/tex] we know that
3 multiplied by 9 gives 27 and the square root of 9 is 3
we can write
[tex]\sqrt{-3(3)(3)}[/tex]
or [tex]3\sqrt{-3}[/tex]
square root of minus gives iota
we get,
[tex]3i\sqrt{3}[/tex]
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A $40 phone case is taxed with
an 8% sales tax. How much tax will be
paid?
Answers
Answer: $3.20 is the sales tax
Step-by-step explanation:
[tex]\frac{8x40}{100} =3.2[/tex] (8 times 40 divided by 100)
please mark brainliest if this helped :)
f(x)=x^2+x and g(x)=1/x+1 find the rules for (f o g)(x) and (g o f)(x) and give the domain of each composite function
Answers
The composite functions of (f o g)(x), (g o f)(x) and their domains in the function f( x ) = x² + x and g( x ) = 1/(x+1) are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R } respectively.
What are the composite result function and domain of (f o g)(x) and (g o f)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
f( x ) = x² + xg( x ) = 1/(x+1)(f o g)(x) = ?(g o f)(x) = ?First, set up the composite result function (f o g)(x).
(f o g)(x) = f( g(x) )
f( x ) = x² + x
f( g(x) ) = f( 1/(x+1) ) = ( 1/(x+1) )² + 1/(x+1)
Apply product rule to simply
f( g(x) ) = 1² /(x+1)² + 1/(x+1)
f( g(x) ) = (1 + x + 1 )/ (x+1)²
f( g(x) ) = (x+2) / (x+1)²
Next, find the domain by equating the denominator to 0 and solve for x.
x + 1 = 0
x = -1
Domain: {x|x ≠ -1 }
For (g o f)(x), set up the composite result function (g o f)(x).
(g o f)(x) = g( f(x) )
g( x ) = 1/(x+1)
g( f(x) ) = g( x² + x ) = 1/( (x² + x) + 1 )
g( f(x) ) = 1/( (x² + x) + 1 )
g( f(x) ) = 1/(x² + x + 1 )
Next, find the domain by equating the denominator to 0 and solve for x.
x² + x + 1 = 0
x = ( -1±√(1² - 4 ×(1×1) ) / (2 × 1 )
x = (-1±i√3)/2
x = (-1+i√3)/2, (-1-i√3)/2
Hence,
Domain is set of all real numbers.
Domain: {x|x ∈ R }
Therefore the composite functions and their domain are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R }.
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trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 26 miles per day. the mileage per day is distributed normally. find the probability that a truck drives at least 113 miles in a day. round your answer to four decimal places.
Answers
Answer:
0.1037
Step-by-step explanation:
y + 7 > 22 solve the inequality for y and simplify your answer as much as possible
Answers
Answer:
y > 15
Step-by-step explanation:
y + 7 > 22 ( subtract 7 from both sides )
y > 15
Which point is a solution to the system of linear equations?
y = −x + 3
2x − y = 6
(3, 0)
(3, −1)
(0, 3)
(−1, 3)
Answers
The ordered pair which is a solution to the system of linear equations is: A. (3, 0).
How to determine the solution?In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (3, 0), we have:
y = −x + 3
0 = -3 + 3
0 = 0 (True).
2x − y = 6
2(3) - 0 = 6
6 - 0 = 6
6 = 6 (True).
For ordered pair (3, -1), we have:
y = −x + 3
-1 = -3 + 3
-1 = 0 (False).
For ordered pair (0, 3), we have:
y = −x + 3
3 = 0 + 3
3 = 3 (True).
2x − y = 6
2(0) - 3 = 6
0 - 3 = 6
-3 = 6 (False).
For ordered pair (-1, 3), we have:
y = −x + 3
3 = -1 + 3
3 = 2 (False).
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The compound interest formula states that if P dollars are invested at an annual interest rate of r, compounded n times per year, then A, the amount of money presentIf $10.500 is invested at 8 % compounded monthly, how much will this investment be worth in 22 years? Round youranswer to two decimal placesafter tyears, is given by A = P(1+2)
Answers
Step 1
State the compound interest formula
[tex]A=P(1+\frac{r}{n})^{t\times n}[/tex]where;
[tex]\begin{gathered} P=10500 \\ r=\frac{8}{100}=0.08 \\ t=22 \\ n=12 \end{gathered}[/tex]Step 2
Find the amount after 22 years
[tex]A=10500(1+\frac{0.08}{12})^{12\times22}[/tex][tex]\begin{gathered} A=10500\times5.778587511 \\ A=\text{ \$60675.16887} \\ A\approx\text{ \$60675.17} \end{gathered}[/tex]Answer;
[tex]\text{ \$60675.17}[/tex]Answer the question in the photo for EASY points ( 20 points )
Answers
Answer: 7921 123569 5410
Step-by-step explanation:
1. 7912
2. 123569
3. 5210
9th grade math helppp
Answers
Answer:
b
Step-by-step explanation:
Find sin 8, cot0, and csc0, where 8 is the angle shown in the figure.
Give exact values, not decimal approximations.
Continue
25
0
sin 0
11
▬
cot 8 = 0
CSC8 = 0
믐
Answers
Answer:
sinTheta = 24/25
cotTheta = 7/24
cscTheta = 25/24
Step-by-step explanation:
Use pythagorean thm or pythagorean triples to find the missing side of the triangle.
7^2 + x^2 = 25^2
49 + x^2 = 625
x^2 = 576
x = 24
The third side of the triangle is 24. We'll need this in a sec.
The marked angle is called theta. That 0 with a belt is greek letter theta. They could just call it angleA or angleB or whatever. Its name is just theta no big deal.
25 is the hypotenuse (longest side). The side that's 7 units long is one of the pieces that makes up AngleTheta. So the 7 is "adjacent" to theta. The other leg, 24, is "opposite" from theta.
sinTheta is a ratio. It is OPPOSITE/HYPOTENUSE
sinTheta = 24/25
cotTheta is tanTheta flipped over.
tanTheta is OPP/ADJACENT
so...
cotTheta =
ADJ/OPP
=7/24
Last, cscTheta is sinTheta flipped over.
We already found sinTheta, so flip it over.
cscTheta = 25/24
SOH-CAH-TOA is supposed to help you memorize the ratios for sine (opp/hyp), cos (adj/hyp), and tan (opp/adj).
The math word for "flipped over" is reciprocal.
csc is the reciprocal of sin
sec is the reciprocal of cos.
cot is the reciprocal of tan.
Good luck! Hope this helps!
It took Elsa 18 minutes to make 3 bookmarks.
Which of the following pairs of equivalent fractions could be used to determine how many bookmarks she can make in 90 minutes?
Answers
Elsa took time to make 3 bookmarks=18 minutes
Time Elsa took for one minute= 18/3
=6
Total bookmarks mad by Elsa in 90 minutes=90/6
=15 bookmarks
The fraction 3/18 shows 3 bookmarks were made in 18 minutes. With this proportion, we can set up an equivalent fraction to find the number of bookmarks made in 90 minutes:
3/18 = b/90,
where 90 represents the time it took in minutes and b represents how many bookmarks were made.
We can divide 18 and 3 by 3 separately to identify the unit rate:
18 / 3 = 6
3 / 3 = 1
When solving, we get 1/6 as our unit rate. Because the relationship is proportional, we know that 1/6 must equal b/90.
1/6 = b/90
1 • 90 = 90
6 • ? = 90
90 / 6 = 15
b = 15
Answer Recap: Option A is correct. If needed, b = 15.
Let f be the function given by f(x) = x + [tex]\frac{\sqrt{x+1} }{x-1}[/tex]
Find and simplify f(3).
Responses
A f(3) = 5
B f(3) = 3 + 2[tex]\sqrt{2}[/tex]
C f(3) = 3 + [tex]\sqrt{2}[/tex]
D f(3) = 4
Answers
By evaluating f(x) in x = 3, we will get that:
f(3) = 4
Thus the correct option is D:
How to evaluate the function in x = 3?Here we have the following function:
[tex]f(x) = x + \frac{\sqrt{x + 1} }{x - 1}[/tex]
We want to get f(3), and to get that, we just need to replace all the "x" in the equation by the number 3, we will get:
f(3) = 3 + (3 + 1)/(3 - 1)
f(3) = 3 + √4/2 = 4
With this, we can conclude that the correct option is D:
f(3) = 4.
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zimak bought 3 xylobars and 5 5 yackities from the intergalactic candy store for 1.75 jeejunu paid1.88 and got 4 xylobars and 1 yackity how much would dado pay for 1 xylobar and 2 yackities
Answers
For 1 xylobar and 2 yackities Dado would pay $0.61 .
In the question ,
it is given that
Zimak paid $1.75 for 3 xylobars and 5 yackities .
let the price of 1 xylobar = x
and let the price of 1 yackities = y
According to the question
3x+5y=1.75 ...(i)
Jeejunu paid $1.88 for 4 xylobars and 1 yackity .
So , equation becomes
4x+y=1.88 ...(ii)
y = 1.88-4x
substituting it in equation (i), we get
3x + 5(1.88 - 4x) = 1.75
3x + 9.4 - 20x = 1.75
20x-3x = 9.4 - 1.75
17x = 7.65
x = 7.65/17
x = 0.45
So, the price of 1 xylobar = $0.45
put x = 0.45 in y= 1.88-4x , we get
y = 1.88 - 4(0.45)
y = 1.88 - 1.8
y = 0.08
So , the price of 1 yackity is $0.08 .
So, For 1 xylobar and 2 yackities , Dado would pay
= x+2y
= 0.45 + 2(0.08)
= 0.45+0.16
= 0.61
Therefore , for 1 xylobar and 2 yackities Dado would pay $0.61 .
The given question is incomplete , the complete question is
Zimak bought 3 xylobars and 5 yackities from the intergalactic candy store for $1.75 . Jeejunu paid $1.88 and got 4 xylobars and 1 yackity . How much would dado pay for 1 xylobar and 2 yackities ?
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Bricklayers use the formula n = 7th to estimate the number n
of bricks needed to build a wall of length and height h, where and hare in
feet. Solve the formula for h. Estimate the height of a wall 28 ft long that requires
1568 bricks.
(Round to the nearest tenth if necessary)
Answers
Answer: the answer is ..
Step-by-step explanation: fec r/sm mkdnjervc
DOES ANYONE KNOW THE ANSWERSSSS
65 pt
Answers
Answer:
3.75 cups of flour
2.5 cups of sugar
1.25 cups of butter
Step-by-step explanation:
Hello!
Let the amount of sugar used be x:
Flour = 1.5xButter = 0.5xThe total sum of ingredients should be 7.5 cups, so we can add x, 1.5x, and 0.5x and set it to 7.5.
Solve for xx + 0.5x + 1.5x = 7.53x = 7.5x = 2.5Clifford needs 2.5 cups of sugar.
The amount of flour can be found by multiplying 2.5 by 1.5: 3.75 cups
The amount of butter can be found by multiplying 2.5 by 0.5: 1.25
Clifford needs 3.75 cups of flour, 2.5 cups of sugar, and 1.25 cups of butter.
2 1/2 of sugar
1 1/4 of butter
y=x+2 find the coordinates of the x and y intercept
Answers
All the points are P1=(0, 2), P2= (1,3), P3(2,4), P4(3,5 ), and P5(4,6).
y=x+2 is obtained function through the equation y-x=2.
Consider the value of X=0 for P1.
Y= 0+2
Y=2
If X=0, then Y=2.
∴ (0, 2)
Consider the value of X=1 for P2.
Y=1+2
Y=3
If X=1, then Y=3
∴ (1,3)
Consider the value of X=2for P3.
Y=2+2
Y=4
If X=2, then Y=4
∴ (2,4)
Consider the value of X=3for P4.
Y=3+2
Y=5
If X=3, then Y=5.
∴ (3,5 )
Consider the value of X=4 for P5.
Y=4+2
Y=6
If X=4, then Y=6.
∴ (4,6)
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y = 2 |x|
Graph the following linear inequalities
Answers
Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
What is meant by linear inequalities?Addition, subtraction, multiplication, and division are the four types of operations that can be performed on linear inequalities. Equivalent inequality refers to linear inequalities with the same solution. Both equality and inequality are subject to laws. For inequality involving smaller than or equal to () and greater than or equal to (), all the principles listed below apply. Let's look at some of the key inequality rules for all these operations before learning how to solve linear inequalities.
As with multi-step linear equations, start by separating the variable from the constants when resolving multi-step linear inequalities with one variable. According to the laws of inequality, it is crucial that we remember to flip the inequality sign when multiplying or dividing with negative values while resolving multi-step linear inequalities.
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i need the right answers please help
Answers
Answer:
To what please
Step-by-step explanation:
I am here to help you so please send your questions
63= 4w + 15 solve for w and simplify your anwser as much as possible.
Answers
Answer:
w is 59
Step-by-step explanation:
63-4 =59 and this should be the answer your looking for
Answer:
w=12
Step-by-step explanation:
63+4w+15
collect like terms
63-15=4w
48=4w (divide all through by 4)
w=12
HELPPPPP SAT QUESTION
Answers
The value of x in the angles is equal t0 15
Angles on a Straight line
To solve this problem, we can simply apply the theorem that states the sum of angles in a straight line is equal to 180 degrees.
This implies that;
[tex]AOF + FOG + GOB = 180^0[/tex]
substituting the values into the equation;
[tex]AOF + FOG + GOB = 180^0\\(5x -15) + 90 + 2x = 180[/tex]
Let's solve for x
[tex]5x - 15 + 90 + 2x = 180\\7x + 75 = 180\\7x = 105\\x = 15[/tex]
The value of x that makes the angles equal to 180 degrees is 15.
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Translate this sentence into an equation.
The difference of Janelle's height and 9 is 65
Use the variable j to represent Janelle's height.
Answers
Step-by-step explanation:
Translate this sentence into an equation. The difference of Janelle's height and 9 is 65. Use the variable j to represent Janelle's height.
j - 9 = 65
to solve:
j - 9 = 65
add 9 to both sides:
j - 9 + 9 = 65 + 9
j = 74