Victor ran 3 kilometres. Terrell ran 4,000 meters.Which statement is true? A. Victor ran 1,000 meters more B. Terrell ran 3,000 meters more than Victor. C. Victor ran 3,000 meters more than Terrell Or D. Terrell ran 1,000 meters more than Victor?
Answers
Answer:
I did the quiz
Step-by-step explanation:
The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
Victor ran 3 kilometers.
And, Terrell ran 4,000 meters.
Now,
We know that;
1 kilometer = 1000 meters
Hence, We get;
Victor ran = 3 kilometers
= 3 x 1000
= 3000 meters
Thus, Difference of distance are,
= 4000 - 3000
= 1000 meters
Therefore, The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ3
Related Questions
if a sample of 21 runners were taken from a population of 580 runners, μ could refer to the mean of how many runners times?
Answers
Answer:
the answers is 580
A homeowner has 60 feet of fencing material to enclose a rectangular area for his pets to play in. One side of the house will be used as a side of the play area. What deminsions should be used in order to maximize the play area?
Answers
2x+l=60
⇒l=60-2x
The area of the house will therefore be:
A=length*width
A=x(60-2x)
A=60x-2x²
differentiating A w.r.t x we get
dA/dx=60-4x
equating the above to zero and solving for x we get
60-4x=0
hence
4x=60
⇒x=60/4
x=15
this implies that one of the sides of the area is 15 ft and the other is 30 ft
Answer:
i just want to say that the answer above is correct 15 ft by 30 ft is the write answer
Step-by-step explanation:
i just took my test and got it right
Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is £36.80. Work out the sale price!
Also explain how you calculated it ...
Answers
Let's do this step by step!
#1
"Reducing" means to make something smaller, like a discount. So we are reducing the price of the dress by 20%. This means we must first find what 20% of the dress's price is and then subtract that from the price.
#2
36.80 * 20% = 7.36
So, 20% of 36.80 is 7.36. Subtract that:
#3
36.80 - 7.36 = 29.44
Answer:
The sale price of the dress is $29.44.
Good day!
A land mass is roughly in the shape of a rectangle whose perimeter is 1180 miles. the width is 110 miles less than the length. find the length and the width?
Answers
Explanation:
1) Shape: rectangle
2) dimensions:
length = l
width = w
3) Formula of the perimeter of a rectangle, p = 2 * l + 2 * w
4) Data:
p = 1180 miles
length = x
width = x - 110 miles
5) Equation: p = 2x + 2(x - 110)
2x + 2(x - 110) = 1180
2x + 2x - 220 = 1180
4x = 1180 + 220
4x = 1400
x = 1400 / 4
x = 350
=> length = 350
and width = 350 - 110 = 240
6) Verification:
p = 2*length + 2 * width
1180 = 2 * 350 + 2*240
1180 = 700 + 480
1180 = 1180 => check.
Answer: length = 350 miles, widht = 240 miles
The cost for three packages of moving boxes is modeled by the system of equations below. let s represent small boxes, m represent medium boxes, and l represent large boxes. which ordered pair (s, m, l) represents the costs of the three boxes?
Answers
PLEASE HELP
Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation.
[tex]y=log_{2}x[/tex]
WILL MARK AS BRAINLIEST
Answers
- for x=[tex] \frac{1}{2} [/tex], [tex]log x_{2} ( \frac{1}{2} )=-1[/tex]. Now we have our first ordered pair: [tex]( \frac{1}{2} ,-1)[/tex]
- for [tex]x=1[/tex], [tex]log_{2} (1)=0[/tex] which gives us our next ordered pair: [tex](1,0)[/tex]
- for x=2, [tex]log_{2} (2)=1[/tex], so (2,1)
- for x=4, [tex]log_{2} (4)=2[/tex], so (4,2)
- for x=8, [tex]log_{2} (8)=3[/tex], so our last order pair is (8,3)
Finally we can plug the points and joint them to create our graph:
Answer:
Warning the guy above is correct just make sure you count each line as 1,2,4,8. On the graph if you count the bold big lines for the domain you will run out of room for the last domain for 8. Like the person above did.
Step-by-step explanation:
answer asap which equation could have been used to create this function table?
A.
y = x + 5
B.
y = 5x
C.
y = x + 4
D.
y = 4x
Answers
If you plug it in
1 + 4=5
6 + 4 = 10
8 + 4 = 12
and so forth
et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)( -7)
a.63/55
b.259/49
c.-57/7
d.384/7
Answers
Answer:
A
Step-by-step explanation:
A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.
[tex] \frac{x^2+6+8}{x^2+6}[/tex]
Now substitute -7 for x.
[tex]\frac{x^2+6+8}{x^2+6} = \frac{(-7)^2+6+8}{(-7)^2+6}=\frac{49+6+8}{49+6}=\frac{63}{55}[/tex]
evaluate j/4 when j=12
Answers
J=12 means "the letter "J" is representing 12. The letter "J" could represent anything in this question, but for this question we are told that "j' equals the number 12.
Simply substitute 12 for "J" in the expression and now you have 12 divided by 4. Then you could say the expression becomes 3 if you simplify 12 over 4 which is the same as 12 divided by 4.
A real life example of this question could be, "4 packs of jewels on a game cost $12.
Not the best explanation, but I hope it helps.
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 2 miles per hour. What must its speed be in order to transport particles that are 15 times as massive as usual? Round your answer to the nearest hundredth.
The speed of the river must be about ____ miles per hour.
Please explain how to do it I have the answer but don't know how to get to it.
Answers
The mass of the particles moving in river is proportional to the sixth power of 2, or [tex]2^6 = 64[/tex] miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship [tex]x * 2^6 = k[/tex], for some constant k.
For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.
So, the key here is proportional. We can set up two proportions and cross multiply.
[tex] \dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)[/tex]
Cancelling our x's (because we don't need to solve for them), we have
[tex]y^6 = 15(2^6) = 15(64)=960[/tex]
To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.
[tex] \sqrt[6]{y^6} = \sqrt[6]{960} [/tex]
Using a calculator, we see that [tex]\sqrt[6]{960} = 3.14 \ miles \ per \ hour[/tex].
To transport particles that are 15 times as massive as usual in a river, the speed of the river would need to increase to about 4.14 miles per hour, calculated based on a proportionality relationship to the sixth power.
Explanation:Given the mass of the particles that a river can transport is proportional to the sixth power of the speed of the river, we can express this relationship as m ∝ v6, where m is the mass of the particles and v is the speed of the river. Then, m1/v16 = m2/v26 which is a statement of the proportionality. If a river, with a normal speed of 2 miles per hour (v1), can transport particles of a certain mass (m1), in order to transport particles that are 15 times as massive as usual (m2 = 15m1), we want to find the required speed (v2).
Substituting the known quantities into the proportionality, we get m1/26 = 15m1/v26. Simplifying this equation gives 1/26 = 15/v26.
To solve for v2, you can perform a sixth root operation on both sides of the equation, resulting in v2 = 6√(15*26). By calculating this, the required speed is nearly 4.14 miles per hour.
Learn more about Proportionality here:https://brainly.com/question/32437705
#SPJ3
A 1.6km road rises vertically 400m. what is the angle of elevation of the road? angle of elevation = _ degree
Answers
x = 14.04°
Final answer:
To determine the angle of elevation of the road, we use the tangent ratio of rise (400m) to run (1600m), resulting in an angle of approximately 14 degrees.
Explanation:
To calculate the angle of elevation of the road, we can use trigonometry. Specifically, we'll use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle. In this context, the opposite side is the rise, which is 400 meters (the vertical height the road climbs), and the adjacent side is the run, which is the horizontal distance of the road, 1.6 km or 1600 meters.
We can calculate the angle of elevation, ϴ (theta), using the formula:
tangent(ϴ) = opposite/adjacent
tangent(ϴ) = 400/1600
ϴ = arctangent(400/1600)
ϴ = arctangent(0.25)
After calculating arctangent(0.25), we find the angle of elevation is approximately 14 degrees.
Patrick is constructing the circumscribed circle for △RST.
Which construction could be his first step?
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Construct the angle bisector of ∠T .
Construct a copy of ∠S that is adjacent to ∠R .
Construct the angle bisector of ∠R .
Answers
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Hope this helps !
Photon
The first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
What is a Circumscribed Circle of a Triangle?A circumscribed circle for a triangle can be defined as a circle is placed inside a polygon or triangle such that it touches all the sides of the triangle.
An example of a circumscribed circle of a triangle is shown in the image attached below.
Therefore, the first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
Learn more about circumscribed circle on:
https://brainly.com/question/15605172
Can someone explain to me how this problem is solved? Thanks.
The height of a coconut falling from a tree is represented by the function h(t)=-16t^2+24 where h(t) is the height of the coconut, in feet, and t is time, in seconds
what is the initial height, in feet, of the coconut?
Answers
h(0)=-16(0)^2+24 = 24 feet. Therefore, the initial height of the coconut is 24 feet
How was his payment
Answers
So he'll pay 630 over 8 equal payments
Divide: 630/8 = 78.75
His monthly payment is $78.75
A polygon has 8 sides. What is the sum of its interior angles? use formula
s = ( n - 2 ) (180°)
A. 1260°
B. 720°
C. 1620°
D. 1080°
Correct answer will be rewarded with full points as well as the mark of the brainliest
Answers
.. s = (8 -2)(180°)
.. s = 1080°
Selection D is appropriate.
_____
Put the number into the formula where the corresponding variable is, then do the arithmetic. A calculator can do the arithmetic for you, if necessary.
twelve inches longer than width
Answers
w+12
*longer indicates addition
this property says that xa divided by xb equals xa-b
Answers
Answer: Quotient rule of division
Explanation:
In this question, a & b are the exponent of the x.
We know that division is the opposite operation of the multiplication.
Quotient rule division: We subtract the exponent (power) when we dividing the numbers with same base..
Here same base means numerator (top) and denominator (bottom) contain same number and exponent (power) of both numerator and denominator are same or different.
For example: [tex] \frac{5x^{8}}{5x^{6}} [/tex]
Here base 5 is same and exponent are different.
It is same as 5⁸⁻⁶ = 5³ = 125
Now given that,
[tex] \frac{x^{a}}{x^{b}} [/tex] = [tex] x^{a-b} [/tex]
find the circumferences
Answers
so... notice, the larger green circle, has a radius of 22.
now, the blue smaller circle, is taking up half of the diameter of the green one, so, the diameter for the small one is 22, and its radius is half that, or 11.
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\\\\ -------------------------------\\\\ \stackrel{\textit{large green circle}}{C=2\cdot \pi \cdot 22}\implies C=44\pi \qquad\qquad \qquad \stackrel{\textit{small blue circle}}{C=2\cdot \pi \cdot 11}\implies C=22\pi [/tex]
A triangle has an area of 40 square units. Its height is 8 units. What is the length of its base?
Answers
h = 8 units
(1/2)b·8 = 40
4b = 40
b = 40/4
b = 10 units
PLEASE HELP ME WITH THIS
Answers
states a^2 + b^2 = c^2
given triangle:
5^2 + 13^2 = 14^2
25 + 169 = 196
194 = 196 False so it isn't a right triangle
since C^2 (196) is greater than a^2 +b^2 (194)
the triangle would be Obtuse
describe the transformation of the following function y=tan(2x-pi)
Answers
[tex]\bf \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)[/tex]
with that template in mind, let's check this one,
[tex]\bf y=tan(\stackrel{B}{2}x\stackrel{C}{-\pi })\\\\ -------------------------------\\\\ \textit{horizontal shift of }\cfrac{C}{B}\implies \cfrac{-\pi }{2},\textit{ so of }\frac{\pi }{2}\textit{ to the right} \\\\\\ \textit{horizontal shrinkage of }B\implies 2, \textit{so by }\frac{1}{2}[/tex]
I will go to the mall if and only if I get paid today.
Determine the conditions that will make the biconditional true.
A. It is true if I go to the mall and I get paid. It is true if I go to the mall and I don’t get paid.
B. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I don’t get paid.
C. It is true if I go to the mall and I don’t get paid. It is true if I don’t go to the mall and I don’t get paid.
D. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I get paid.
Answers
Final answer:
The correct answer is Option B, covering both true-true and false-false scenarios.
Explanation:
To determine the conditions that make the biconditional statement true, let's analyze it step by step. The statement in question is: "I will go to the mall if and only if I get paid today." A biconditional statement is true in two scenarios: both parts are true or both parts are false.
Looking at the options provided:
Option A is incorrect because if the statement is true, I cannot go to the mall without getting paid.Option B is correct because it encompasses both scenarios where the biconditional statement holds true: If I go to the mall, then I must have gotten paid, and if I don’t go to the mall, then I must not have gotten paid.Option C is incorrect because according to the biconditional, I cannot go to the mall unless I have been paid.Option D is incorrect because if I don’t go to the mall, it must mean that I didn't get paid, which is not covered in this option.Therefore, the correct answer is Option B: It is true if I go to the mall and I get paid today. It is also true if I don't go to the mall and I don't get paid today. This matches the requirements of a biconditional statement where either both conditions are true or both are false.
My teacher says everything is there to answer this question but I don't know. Someone please explain.
Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.
How far do they walk and at what time do they reach the top of the hill?
Answers
A level mile takes 1/4 of an hour (15 minutes). An uphill mile takes 1/3 of an hour (20 minutes). A downhill mile takes 1/6 of an hour (10 minutes). So, to go and return over the same mile takes half an hour. This means that in 6 hours, they went 12 miles and came 12 miles back. So they went a total of 24 hours.
If the 12 miles had been all level, it would have taken approximately 3 hours. It the 12 miles had been all uphill, it would have taken approximately 4 hours. When reaching the peak, 3.5 hours would have been the approximate time it took them to reach the top since it is in between.
Which are the solutions of x2 = –11x + 4?
Answers
.. x^2 +11x = 4
.. x^2 +11x +5.5^2 = 4 +5.5^2
.. (x +5.5)^2 = 34.25
.. x = -5.5 ±√34.25
.. x ≈ {-11.35235, 0.35235}
Answer:
If your on edu the simple answer is A
Step-by-step explanation:
Determine whether the equation defines y as a function of x. y = 2x + 8
Answers
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.
the equation y = 2x + 8 ----------- > defines y as a function of x, because for each x there is only one value of y.
the answer is
yes, the equation y = 2x + 8 defines y as a function of x
hello please help me with this quick
Answers
hope this helps<3
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which statements about the length of each plot are true?
*The equation x3 − 15x2 − 100x − 2,688 = 0 can be used to find the length of each plot.
**The equation x3 + 25x2 + 100x − 2,688 = 0 can be used to find the length of each plot.
***The equation x3 + 15x2 − 100x – 2,688 = 0 can be used to find the length of each plot.
****The length of each plot is 12 yards.
*****The length of each plot is 8 yards.
Answers
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Final answer:
The correct equation to find the length of each of Liam's rectangular plots is x³ + 15x² - 100x - 2,688=0. This cubic equation must be solved to determine the actual length of each plot.
Explanation:
To solve the problem involving Liam's rectangular plots of land, you need to find the length x of each plot. Since the width is 5 yards less than the length, the width is x - 5 yards. With the number of plots being 20 + x, and the total area given as 2,688 square yards, you can set up an equation using the area of a rectangle (length times width) multiplied by the number of plots equal to the total area
The correct equation to determine the length of each plot is as follows:
X (width) × X (length) × (number of plots) = total area
(x) (x - 5) (20 + x) = 2,688
x(x - 5)(x + 20) = 2,688
x³ + 15x² - 100x = 2,688
This simplifies to the equation x³ + 15x² - 100x - 2,688 = 0, which corresponds to option three. Upon solving this cubic equation, you would find the length of each plot. However, the last options are not supported by the given information and should be solved for using the derived equation.
which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
Answers
Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence[tex]a_n=4n-7[/tex] , the parameter [tex]n[/tex] must to be a integer.
Second, we need to solve the equations by [tex]n[/tex].
[tex]n=(a_n+7)/4[/tex]
All the option in the problem represent an [tex]a_n[/tex]
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)
[tex]n=(29+7)/4=9\\[/tex]
For B)
[tex]n=(21+7)/4=7\\[/tex]
For C)
[tex]n=(20+7)/4=6.75\\[/tex]
For D)
[tex]n=(28+7)/4=8.75\\[/tex]
Only A) and B) only A and B meet the requirement
The isosceles trapezoid is part of an isosceles triangle with 38 vertex angle. what is the measure of an acute best angle of the trapezoid? what is the measure of an obtuse base angle of the trapezoid?
Answers
.. 90° -(38°/2) = 71°
The obtuse base angle of the isosceles trapezoid is the supplement of this,
.. 180° -71° = 109°.
Final answer:
The acute base angles of the isosceles trapezoid are each 71 degrees, and the obtuse base angles of the trapezoid are each 109 degrees.
Explanation:
The task is to determine the measure of the acute and obtuse base angles of an isosceles trapezoid that is part of an isosceles triangle with a vertex angle of 38 degrees.
By the isosceles triangle theorem, the angles opposite the equal sides are equal. Since the vertex angle of the isosceles triangle is given as 38 degrees, the base angles of this triangle must be equal. Since the sum of the angles in any triangle must be 180 degrees, we could set up the equation:
38 + 2B = 180
where B represents the base angle of the isosceles triangle. Solving for B gives us:
B = (180 - 38) / 2
B = 71 degre
Each base angle of the isosceles triangle is 71 degrees.
The acute base angles of the trapezoid are also the base angles of the isosceles triangle, so they are 71 degrees each. To find the obtuse base angles of the trapezoid, we note that they are supplementary to the acute base angles. Hence:
Obtuse base angle of trapezoid = 180 - 71
= 109 degrees
30 POINTS + BRAINLIEST.. PLEASE CHECK MY ANSWER
Answers
Good job!
Answer:
you are correct good job