The total distance a baseball player travels is 0 meter from his starting point in the first case when he runs 3 meters forward and then runs 3 meters in the opposite direction.
What is distance ?
A measurement of how far away two things or points are might be quantitative or occasionally qualitative.
If an object covers the same distance in the forward and opposite direction, it will cover 0 meter from his starting point.
It happens because when it covers a distance say 5 Km in forward direction and then, when it goes in the opposite direction with equal distance, it reaches to its starting point from where it was started.
Hence, If the player runs 3 meters forward and then runs 3 meters in the opposite direction, h will be at his starting point or we can say, he will cover 0 meter from his starting point.
However, in all other cases, the distance is not equal in both forward and opposite direction.
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Which numbers should replace the question marks?
The first missing number in the sequence is 35, and the last missing number is 77.
Next number of the given sequenceThe two missing numbers in the given sequence is calculated as follows;
= ? 49 63 ?
The given sequence is factor 7 which increases by 2
= 7 x 5 7 x 7 7 x 9 7 x 11
= 35 49 63 77
Thus, the first missing number in the sequence is 35, and the last missing number is 77.
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The sequence's initial missing number is 35, and its last missing number is 77.
The following number in the list is
The two missing numbers are determined as follows for the given sequence:
= ? 49 63 ?
The sequence is factor 7, which rises by 2 in the specified order.
= 7 x 5 7 x 7 7 x 9 7 x 11
= 35 49 63 77
Thus, the first missing number in the sequence is 35, and the last missing number is 77.
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PLEASE HELP!!! WILL GIVE 35 POINTS AND BRAINLIEST
A. Yes
The earnings are the number of hours times a constant value.B. Yes.
y = 5x models the table.C. No.
The graph doesn't pass through the origin.D. Yes
The number of signs is the number of days times 5.E. No
y/x.is not constant.F. Yes
This is a line passing through the origin.Synthetic division Help
Answer:
i really don't know because i'm only in 7th grade but if this helps then yea
Step-by-step explanation:
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
Answer:
Step-by-step explanation:
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Factor out the GCF in each polynomial. Write the new expression in the box.
ANSWER:
\(\begin{gathered} 3x^2\cdot(x^2+2x+3) \\ 4\cdot(x^2+3x-2) \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following polynomial
A.
\(3x^4+6x^3+9x^2\)We can calculate the GCF by means of the common factor, like this
\(3x^2\cdot(x^2+2x+3)\)B.
\(4x^2+12x-8\)We can calculate the GCF by means of the common factor, like this
\(4\cdot(x^2+3x-2)\)Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х F
Please help
Answer:
Step-by-step explanation:
take 61 degree as reference angle
using cos rule
cos 61=adjacent/hypotenuse
0.48=5.5/x
x=5.5/0.48
x=11.45
x=11.5
What sequence of rigid transformations takes figure C to
figure D?
A) a counterclockwise rotation of 90° about the origin,
then a reflection in the y-axis
B) a counterclockwise rotation of 90° about the origin,then a translation 2 units to the right
C) a reflection in the y-axis, then a translation 6 units down
D) none, because C and D are not congruent
Answer:
D) none, because C and D are not congruent
Step-by-step explanation:
The figures are not congruent, because figure c is a right triangle with bases of length 3 and 4, while figure d is a right triangle with bases of length 3 and 3. The definition of congruency is that they have the same size and shape, which is trivially not true in this case. Therefore, it is not possible to map C onto D using rigid transformations.
determine the slope of the graph of linear function that passes through the point (5,8) and (-2, 9
The points on the graph is given as
\((5,8),\text{ }(-2,9)\)To determine the slope of the graph , use the slope formula.
\(m=\frac{y_2-y_1^{}}{x_2-x_1_{}_{}}\)Substitute the values in the slope formula.
\(m=\frac{9-8}{-2-5}\)\(m=\frac{1}{-7}\)Thus the slope of the graph is -0.142857.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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how much more is the total weight of 1/2 of a pound dog toys than the 5/8 of a pound dogs toys
Each plot in the grpah represents 1/8 pound.
Then, as 1/2 has one more plot than 5/8, 1/2 of a pound is 1/8 more than 5/8 of a pound.
Answer: 1/8 of a pound
A helicopter flies 1,500 feet over the ocean. A whale swims 150 feet below the ocean. How far apart are the helicopter and the whale?
Answer:
1000
Step-by-step explanation:
Answer: they are 1450 feet apart since all your doing is just subtracting the ammount of space between them (hope this helps) :)
Write equivalent fractions for 2 2/3 and 2 1/4 using a common denominator please hurry
The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:
32/12 and 27/12.
How to obtain the equivalent fractions?The mixed numbers in the context of this problem are given as follows:
2 and 2/3.2 and 1/4.The fractions that represent each number are given as follows:
2 + 2/3 = 6/3 + 2/3 = 8/3.2 + 1/4 = 8/4 + 1/4 = 9/4.The least common factor of 3 and 4 is given as follows:
3 x 4 = 12.
Hence the equivalent fractions are given as follows:
12/3 x 8 = 32/12.12/4 x 9 = 27/12.More can be learned about equivalent fractions at https://brainly.com/question/17220365
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Which transformation would take Figure A to Figure B?
O A counterclockwise rotation of 90° about the origin
A counterclockwise rotation of 270° about the origin
A reflection over the x-axis
A reflection over the y-axis
A factory manufactures two articles of cloth; A and B. To manufacture the article A; a swing
machine has to be worked for 1.5 hours and in addition a craftsman has to work for 2 hours. To
manufacture the article B, the swing machine has to be worked for 2.5 hours and in addition the
craftsman has to work for 1.5 hours. In a week, the factory can avail of 80 hours of machine time
and 70 hours of craftsman’s time. The profit on each article A is birr 5 and that on each article of
B is birr 4. If all the articles produced can be sold away; find how many of each kind should be
produced to earn the maximum profit per week. Develop and LP model and solve using graphical
approach.
The amounts of each article that should be produced to maximize the profits is given as follows:
Cloth A: 11 articles.Cloth B: 31 articles.How to maximize the profits?The variables for the system of equations are given as follows:
Variable x: amount of cloth a produced.Variable y: amount of cloth b produced.The number of hours is a countable amount, meaning that it cannot assume negative values, hence:
x ≥ 0.y ≥ 0.The factory can avail of 80 hours of machine time, hence:
1.5x + 2.5y ≤ 80.
(1.5 hours of machine time for cloth A, 2.5 hours for cloth B, the sum can be at most 80).
The craftsman’s maximum time is of 70 hours, hence:
2x + 1.5y ≤ 70.
The vertex for which the amount is maximized is given as follows:
(11,31).
Meaning that the amounts are of 11 articles from cloth A and 31 articles from cloth B.
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Which is true regarding secants and chords?
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
Answer:
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
Step-by-step explanation:
just took the test
The following is true regarding secants and chords:
C. Chords and secants intersect the perimeter/circumference of a circle twice. Secants are lines or rays that extend through a circle, while Chords are segments entirely within a circle (see attachment below).
What are Chords and Secants?As shown in the diagram attached below, we see that both a secant and a chord intersect the perimeter of the circle.
While the secant extends outside the circle, the chord is within the circle.
Thus, based on the definition of secants and chords, using the image attached below, the following is true regarding secants and chords:
C. Chords and secants intersect the perimeter/circumference of a circle twice. Secants are lines or rays that extend through a circle, while Chords are segments entirely within a circle. (see attachment below).
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a farmer wants to build a fence in the shape of a parallelogram for his animals. The perimeter of the fence will be 600 feet, and the North/South fences are half of the length of the West/East fences. If fences are sold in 5 foot segments, how many fence segments does the farmer need to buy ?
Let's use the variable L to represent the length and W to represent the width.
If the perimeter is 600 ft, we have:
\(\begin{gathered} P=2L+2W\\ \\ 2L+2W=600\\ \\ L+W=300 \end{gathered}\)The width is half the length, so we have:
\(\begin{gathered} W=\frac{L}{2}\rightarrow L=2W\\ \\ 2W+W=300\\ \\ 3W=300\\ \\ W=\frac{300}{3}\\ \\ W=100\text{ ft}\\ \\ L=200\text{ ft} \end{gathered}\)Now, if each fence segment is 5 ft, we number of segments needed is:
\(\begin{gathered} \text{ fences for W1: }\frac{100}{5}=20\\ \\ \text{ fences for W2: }\frac{100}{5}=20\\ \\ \text{ fences for L1:}\frac{200}{5}=40\\ \\ \text{ fences for L2:}\frac{200}{5}=40\\ \\ \\ \\ \text{ total:}20+20+40+40=120\text{ fence segments} \end{gathered}\)On a piece of paper, graph y= -2x - 3. Then determine which
answer choice matches the graph you drew. Find the slope of
the line.
Identify the solution that has the correct graph and the correct
slope.
The slope of the line is -2, which means when you're tracking the line, it goes down by 2 for every time that it moves across to the right by 1.
Y-intercept of the line is -3, so when you start on the origin, (0, 0) you go down by 3.
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
Pls, look at picture for the question.
Answer:
-6.8
Step-by-step explanation:
If you count down from -6.5 then go down to -6.6 then - 6.7 then last but not least -6.8
The set of all points on the real line whose distance from zero is less than 9 can be described by the absolute value inequality: |x| < 9 O Ix| 2 9 O x| < 9 O Ix| > 9 (b) The set of all points on the real line whose distance from zero is greater than 9 can be described by the absolute value inequality: O Ix| 29 O Ix| > 9 O Ix| < 9 O Ix| s 9
The absolute value inequality for all the points that line from distance 0 to less than 9 is |x|<9. The absolute value inequality for all the points that line from distance 0 to greater than 9 is |x|>9.
Inequality is a concept used in mathematics that helps to understand the relationship between two variables. These two variables are not equal and are not related using equal to sign. The symbols used in inequalities are >, <, ≥, and ≤.
The inequality for the points that lie from 0 to less than 9 is written as -9<x<9. Here, the distance is from 0 to less than 9 and any point that lies between these distances is denoted by x. Then, the absolute value inequality for the first condition is written as |x|<9.
The inequality for the points that life from 0 to greater than 9 is written as x>9 or x<−9. Here also the distance is from 0 to greater than 9 and any point that lies between these distances is denoted by x. Then, the absolute value inequality for the second condition is written as |x|>9.
So option A is for the first and option B for the second one.
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The complete question is -
(a) The set of all points on the real line whose distance from zero is less than 9 can be described by the absolute value inequality | x | ______.
(A) |x|<9
(B) |x|≥9
(C) |x|≤9
(D) |x|>9
(b) The set of all points on the real line whose distance from zero is greater than 9 can be described by the absolute value inequality | x | ________.
(A) |x|≥9
(B) |x|>9
(C) |x|<9
(D) |x|≤9
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
The sum of the ages of Steve and Ali is
three times the difference of their ages.
What is the ratio of Ali's age to Steve's
age if Ali is older?
The ratio of Ali's age to Steve's is 2 to 1.
How to find the ratio of Ali age to Steve age ?The sum of the ages of Steve and Ali is three times the difference of their ages.
Therefore,
let
x = age of Steve
y = age of Ali
Hence,
x + y = 3(y - x)
x + y = 3y - 3x
Therefore,
x + 3x = 3y - y
4x = 2y
divide both side by 2
4x / 2 = 2y / 2
2x = y
The ratio of Ali's age to Steve's is 2 to 1.
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Show that ABC is right triangle A(-7,-2), B(-3,-3) C(-4,-7)
Answer:
Step-by-step explanation:
slope of AB = (-3 - (-2)) / (-3 -(-7) = -1/4
slope of BC = (-3 - (-7)) / (-3 -(-4) = 4/1
As the slopes of AB and BC are negative reciprocals of each other, they are perpendicular and therefore triangle ABC is a right triangle.
What is the range of the function y = RootIndex 3 StartRoot x + 8 EndRoot?
Answer:
It is A -∞ < x < ∞
m Step-by-step explanation: I hope i am not late.
Charles can type 675 words in 9 minutes. How many words can he type per minute?
Group of answer choices
6075 words per minute
75 words per minute
86 words per minute
75 minutes per word
Answer:
675 devided bye 9 = 75
Step-by-step explanation:
Answer: 75 words per minute
Step-by-step explanation:
We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9 9/9
75:1 or 75 words per minute
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast
This question is incomplete, the complete question is;
Given that a Historical Demand for a product is;
Month Demand
January 12
February 11
March 15
April 12
May 16
June 15
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast.
Answer: the July forecast is 15
Step-by-step explanation:
Given that;
Month Demand Weights
January 12
February 11
March 15
April 12 0.10
May 16 0.30
June 15 0.60
July ? ?
Formula for calculating weighted moving average is
Ft = w1A_t-1 + w2A_t-2 ............+ wnA_t-n
w1, w2, wn is the weight assigned to the period t-1, t-2, t-n respevtively
A_t-1, A_t-2, A_t-n is the demand period t-1, t-2, t-n respevtively
and n is the total number prior periods in the forecast.
so we just substitute our values into the equation
Forecast(July) = (15 × 0.6) + (16 × 0.30) + ( 12 × 0.10)
= 9 + 4.8 + 1.2
= 15
Therefore the July forecast is 15
If -9x(x + A) + 2 = (Bx + 2)(3x - 1) + 4, find the constants A and B.I am stuck at the step of solving B,can you help me?write down you steps and answer please
Answer:
A = -1
B = -3
Step-by-step explanation:
you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.
so,
-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4
-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2
the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.
we have left and right only one expression of x²
-9x² on the left
3×B×x² on the right
therefore,
-9 = 3×B
=> B = -3
otherwise the equation would not be correct for all values of x.
the only other parts remaining are
-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x
=>
-9×A = 9
-A = 1
A = -1
remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.
the following data values represent a sample. what is the variance of the sample? x=9. use the information in the table to help you
Answer:
Step-by-step explanation:
Variance of X = 9
Regression equations are
(*) 8x −10y + 66 = 0
(**) 40x −18y − 214 = 0
Find out the following missing results.
(i) The means of X and Y
(ii) The coefficient of correlation between x and y
(iii) The standard deviation of Y
Answer: x is 9
Step-by-step explanation:
The width of a rectangular parking lot is 53 ft less than its length. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Answer:
The dimension of the lot is 201.28 ft by 148.28 ft
Step-by-step explanation:
Given;
diagonal of the parking lot, d = 250 ft
let the length of the parking lot = L
the width, W = L - 53
The diagonal of the lot, length of the lot, and width of the lot form a right triangle.
Apply Pythagoras theorem to determine the length, L
L² + W² = 250²
L² + (L - 53)² = 250²
L² + L² - 106L + 2809 = 62,500
2L² - 106L + 2809 - 62,500 = 0
2L² - 106L - 59,691 = 0
this forms quadratic equation; a = 2, b = -106 and c = -59,691
\(L = \frac{- b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\L = \frac{- (-106) \ \ +/- \ \ \sqrt{(-106)^2 - 4(-59691 \times 2)} }{2(2)}\\\\L = \frac{106 \ \ +/- \ \ \sqrt{488764} }{4} \\\\L = \frac{106 + 699.12}{4} \\\\L = 201.28 \ ft\)
The width, W = 201.28 - 53
W = 148.28 ft