Answer:
Just be yourself
Step-by-step explanation:
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 yards per second. find the shortest distance between their starting point and their ending point measured along the track
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
_____
Additional comment
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
Need help now pls on HS geometry
Answer:
see explanation
Step-by-step explanation:
The triangle segment is a median
A median goes from the vertex to the midpoint of the opposite side.
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.
AC = 2 × FC = 2 × 35 = 70
BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38
GC = 2 × DG = 2 × 14 = 28
AE = AG + GE = 42 + 21 = 63
Can you please factorise 7-x²
Answer:
Can't factorize with rational numbers
Step-by-step explanation:
The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.
Answer:
Step-by-step explanation:
7-x²
If we treat this as the difference of 2 squares we get
(√7 - x)(√7 + x)
Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above
======================================================
Explanation:
The notation N(950,50) tells us that we have a normal distribution with the following parameters:
mu = 950 = meansigma = 50 = standard deviationUse the z score z = 2.5 to convert to its raw score x
z = (x-mu)/sigma
2.5 = (x-950)/50
2.5*50 = x-950
125 = x-950
x-950 = 125
x = 125+950
x = 1075
Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.
Mark the sums of the integers as either positive or negative.
-8+(-9)
7+(-3)
5+(-12)
-12+15
The option A and C are negative. also, option B and D are positive.
What are integers numbers?Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
WE need to write the sums of the integers as either positive or negative.
-8+(-9) = -17
This gives the negative answer.
7+(-3) = 4
This gives the positive answer.
5+(-12) = -7
This gives the negative answer.
-12+15 = 3
This gives the positive answer.
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9x + 1 = -26 what is the value of x
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf9x + 1 = - 26[/tex][tex] \sf9x = - 26 - 1[/tex][tex] \sf x = - 27 \div 9[/tex][tex] \sf x = - 3[/tex]Hence, value of x is -3
How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.
Answer:
1-12-x-+1
Step-by-step explanation:
so you divided 2 by 4 then 1 after that 12 and boom
The equivalent expression for 4(5−3x) is ( 20 - 12x).
What is distribution property?This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 4(5−3x). The expression by distribution property will be solved as,
E = 4(5−3x)
Multiply by 4 in the whole equation,
E = ( 4 x 5 - 4 x 3x )
E = 20 - 12x
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Given the system of equations, what is the x-coordinate of the solution?
y = 3 - x 1/2
3x + 4y = 1
-11
22
-17/2
Answer:
i think x = -11
Step-by-step explanation:
x = -11
y = -17/2
Answer:
x = -11
Step-by-step explanation:
When we divide 1800 birr to three brothers in the ratio 2:3:1, what is the smallest share?
Answer:
300
Step-by-step explanation:
2+3+1=6
1800=6 parts
1 part=1800/6=300
The smallest share among the three brothers is 300 birrs.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,
Let the amount they hold be 2x, 3x and x
Therefore, 2x+3x+x = 1800
6x = 1800
x = 300
Hence, The smallest share among the three brothers is 300 birrs.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
158, 155, 152, ...
Find the 34th term
The 34th term of the sequence 158, 155, 152 ...... is 59
The sequence is as follows:
158, 155, 152 ......
let
a = first term = 158
d = common difference = 155 - 158 = -3
Using Arithmetic progression formula, let's find the 34th term as follows:
aₙ = a + (n - 1)d
a₃₄ = 158 + (34 - 1)-3
a₃₄ = 158 + (33)(-3)
a₃₄ = 158 - 99
a₃₄ = 59
Therefore, the 34th term of the sequence is 59.
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A 15 foot slide casts a shadow that is 25 feet long. A tree is standing next to the slide and casts a shadow that is 40 feet long. How tall is the tree?
Answer:
30 feet
Step-by-step explanation:
The height of the tree is 24 feet casting a shadow of 40 feet long.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Assuming the height of the tree to be x feet.
15 : 25 : : x : 40.
15/25 = x/40.
25x = 600.
x = 24
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Choose all the number lines that show equivalent fractions.
A.
+
1
0
j
1
B.
o
+
1
이고
0
1
+
+
+
1
D.
0
1
-
AU E.
0
+
1
Plz help me this is my exam no links
Answer:
a and d
Step-by-step explanation:
QUESTION REFER TO ABOVE ATTACHMENT .
( Notes ) :-
• Need Authentic Answer
• Don't give spam answer
• If u don't know kindly don't answer .
• Don't copy from web .
• Need answer step - by - step explanation .
The alteration has an effect on (K) I, II and III
The function is given as:
[tex]h = -at^2 + bt + c[/tex]
When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.
Take for instance, the new function is:
[tex]h = -at^2 + bt + c+ 1[/tex]
The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.
Hence, the alteration has an effect on (K) I, II and III
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help me please ^^ I'm getting my grades to all A's for a honerole
Answer:
A
Step-by-step explanation:
compare the quantities in column A and Columb B,
column A.
4x-y=11
3x+y=3
column B
x-5y=-8
-x+4y=5
Answer:
A
Step-by-step explanation:
can't tell you
What is an expression equivalent to 25x^2+28x+16
PLEASE HELP
5) Which function represents the relationship between x and y?
A) y = x + 2
B) y = 2x
C) y = x + 4
D) y = x-2.
Answer:
A) y=x+2
Step-by-step explanation:
We can see that each time x increase by 2, y also increases by 2. The slope of the line formed by this equation is therefore 1. But we start out with y = 2, even when x=0. That's the definition of the y-intercept: the value of y when x is equal to zero.
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).
We have y = 1x + 2, or y = x + 2
Write a function rule for "The output is one-third of the input x"
Answer:
y = 1/3x
Step-by-step explanation:
I need this question done please it’s the one circled
Answer:
i think 2
Step-by-step explanation:
65km ÷ x = 6 1/2km×5
65÷x = 6 1/2×5
65÷x = 13/2 ×5
65÷x = 65÷2
x = 2
so 2 is answer
answer
2
let the unknown number be x
65/x=6+1/2*5
65/x=13/2*5
65/x=65/2
65/x=32.5
x*32.5=65
x*32.5/32.5=65/32.5
x=2
Which equation represents the line that is perpendicular to and passes through (-12,6)?.
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope of the lne(x1, y1) is any point on the line.Given the equation y = 3/2x + 1, the slope of the line is 3/5The slope of the line perpendicular is -5/3Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
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Find a counterexample for this statement.
A quadrilateral has four congruent sides.
Answer:
A Rhombus
Step-by-step explanation:
it's a quadrilateral, but its sides aren't congruent
The function f is given by f(x) = (x + 3)^2 - 1.
1) Write the coordinates of the vertex of the graph of f.
2) Does the graph open up or down? How do you know?
Answer:
the coordinate of the vertex is going to be (-3,-1) and it's concave up
Step-by-step explanation:
1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)
2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up
In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive
I need someone to help me who’s really good at 7-8th grade math :)
Answer:
You should write a math example
A store sells 4 printers for every computers. Last month the store sells 56 computers, how many printers did they sell?
Answer:
224 printers
Step-by-step explanation:
56computers×4printers per computer=224 printers
Please help me thank you :)
We know the equation.
=> y = mx + bWe also know the y-intercept, which is -3.
=> b = -3.All we need to find is the slope. Once the slope is found, our equation is set.
=> Slope = Rise/Run=> -1/2 = SlopeConclusion:Since the slope has been found, the equation is y = -x/2 - 3.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
PLEASE HELP AND SHOW WORK
Answer:
that is the true answer trust
Step-by-step explanation:
like my answer and make it brainlieast
Find the value of x
SC is the median of QRS
A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-
Answer:
The posted photo says the slope is -(3/4). I'll use that, instead of -2 as written in the question.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
With a slope of -(3/4), we can write: y = -(3/4)x + b.
To find b, use the given point (4,-6):
y = -(3/4)x + b
-6 = -(3/4)(4) + b for (4,-6)
-6 = -3 + b
b = -3
The line is y = -(3/4)x - 3
The first option.
Answer 1 question. Thanms
Let's solve your inequality step-by-step.
[tex]11+\frac{a}{2}\le 16[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\frac{1}{2}a+11 \le 16[/tex]
Step 2: Subtract 11 from both sides.
[tex]\frac{1}{2}a+11-11\le 16-11[/tex]
[tex]\frac{1}{2}a\le 5[/tex]
Step 3: Multiply both sides by 2.
[tex]2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)[/tex]
[tex]a\le 10[/tex]
Answer:a≤102. List the like terms in each of the following
i) 4x2 , -5x , 6 , 7x , -2x2 , -3
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