Final answer:
The proportional relationship between the number of rides and time is represented by the equation t = 3n where t is the total time in minutes and n is the number of rides.
Explanation:
Since it takes Esther 12 minutes to ride a roller coaster four times, we can find the time taken for one ride by dividing the total time by the number of rides.
Time for one ride = Total Time / Number of Rides = 12 minutes / 4 rides = 3 minutes per ride.
The proportional relationship between the number of rides (n) and the total amount of time (t) can be represented by the equation t = 3n. This indicates that for every ride, 3 minutes are added to the total time.
A steel ball is traveling through water with a speed of x meters per second, where x is positive the drag force, F
At what speed in meters per second does the ball have a force of 0.5 N on it
the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.
To find the speed at which the drag force F on the steel ball is 0.5 N, we need to solve the equation:
[tex]\[ F = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]
Given that [tex]\( F = 0.5 \)[/tex], we can substitute this value into the equation and solve for x:
[tex]\[ 0.5 = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]
Subtracting \( 0.5 \) from both sides, we get:
[tex]\[ 0 = 0.004(x + 50)(x - 2.5) \][/tex]
Now, since the product of two factors is equal to zero, at least one of the factors must be zero. So we have:
[tex]\[ x + 50 = 0 \][/tex] or [tex]\[ x - 2.5 = 0 \][/tex]
Solving these equations:
1. [tex]\( x + 50 = 0 \)[/tex]
[tex]\[ x = -50 \][/tex]
2. [tex]\( x - 2.5 = 0 \)[/tex]
[tex]\[ x = 2.5 \][/tex]
Since the speed cannot be negative, the only valid solution is [tex]\( x = 2.5 \)[/tex] meters per second.
Therefore, the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.
The complete Question is given below:
A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F , in newtons (N) is: F=0.5+0.004(x+50)(x-2.5) At what speed in meters per second does the ball have a force of 0.5N on it?
brand A granola is 25% nuts and dried fruit and brand B granola is 10% nuts and dried fruit. how much of sweet item A and sweet item B should be mixed to form a 30-lb batch of sweets that is 22% nuts and dried fruit?
To create a 30-lb batch of sweets that is 22% nuts and dried fruit, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B.
To find the solution, we can set up a system of equations based on the percentages of nuts and dried fruit in each brand of granola and the desired final percentage.
Let x represent the amount of sweet item A (in pounds) and y represent the amount of sweet item B (in pounds) to be mixed.
The total weight of the mixture is x + y = 30 lbs.
The percentage of nuts and dried fruit in brand A is 25%, so the amount of nuts and dried fruit from A is 0.25x lbs.
The percentage of nuts and dried fruit in brand B is 10%, so the amount of nuts and dried fruit from B is 0.10y lbs.
The desired final percentage in the mixture is 22%, so we have the equation: (0.25x + 0.10y) / 30 = 0.22.
Now, we can solve this system of equations to find x and y.
First, we'll multiply the last equation by 30 to get 0.25x + 0.10y = 6.6.
Then, we can use substitution or elimination to solve for x and y.
In this case, it's simpler to use elimination, and we find that x = 12 lbs and y = 18 lbs.
Therefore, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B to create the desired 30-lb batch with 22% nuts and dried fruit.
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Which graph represents the solution for the equation -5/2x -1 = 4x + 2?
Answer:
D would be the best choice.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Did the test
Please Help Me!
A sphere's center is located at (0,0,0). The point (4,9,-5) is located on the surface of the sphere. Find the length of the radius of the sphere. Round to the nearest tenth.
Answer:
The length of the radius of the sphere is 11.0 units
Step-by-step explanation:
we know that
To calculate the radius of the sphere, we can use the distance formula
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}+(z_2-z_1)^{2}}[/tex]
where
d is the length of the radius
(x_1,y_1,z_1) is the center of the sphere
and
(x_2,y_2,z_2) is one point on the surface of the sphere
we have
[tex](x_1,y_1,z_1)=(0,0,0)[/tex]
[tex](x_2,y_2,z_2)=(4,9,-5)[/tex]
substitute in the formula
[tex]d=\sqrt{(4-0)^{2}+(9-0)^{2}+(-5-0)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2}+(9)^{2}+(-5)^{2}}[/tex]
[tex]d=\sqrt{122}[/tex]
[tex]d=11.0\ units[/tex]
therefore
The length of the radius of the sphere is 11.0 units
BRAINLIEST 60 POINTS!! PLEASE HELP ITS DUE TODAY
First image is for question 1, and second image is for question 2
1. Remember what we know about vertical angles and solve for x.
2. Use the figure to answer the questions.
(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.
Answer:
1.[tex]x^\circ= 7^\circ[/tex]
2.(a)Therefore , Side LJ =side CA
(b) BC = KL
Step-by-step explanation:
1.
we know that, vertically opposite angles are congruent .
[tex]\therefore (x+16)^\circ= (4x-5)^\circ[/tex]
[tex]\Leftrightarrow 4x^\circ-x^\circ= 5^\circ+16^\circ[/tex]
[tex]\Leftrightarrow 3x^\circ= 21^\circ[/tex]
[tex]\Leftrightarrow x^\circ= 7^\circ[/tex]
2.
(a)SAS = side,angle , side
Given ,side AB = side KJ
and ∠CAB= ∠LJK
All Pythagorean Triples are unique.
Since side AB = side KJ
Therefore , Side LJ =side CA
It satisfies SAS postulate ThereforeΔABC≅ΔKJL
(b)
HL Theorem: If hypotenuse and one leg of of a right triangle are congruent to the hypotenuse and one leg of of other right triangle , then the triangle congruent.
Since,
All Pythagorean Triples are unique.
Then hypotenuse of ΔABC=ΔLKJ ⇔BC = KL
A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your answer. Round your answer to the nearest tenth.
The mixture contains 61.5% of water.
Step-by-step explanation:
Total parts = 4+ 2.5 = 6.5
Parts of water =4
parts of drink = 2.5
Percent of water in the mixture = 4 × 100/ 6.5
= 400/6.5
= 61.53%
It is rounded to the nearest tenth as 61.5%.
To find the percentage of water in the mix, we calculate the proportion of water (4 parts) to the total mixture (6.5 parts) and multiply by 100%, resulting in approximately 61.5%.
To determine what percent of the mixture is water when a drink is made with 4 parts water and 2.5 parts drink mix, we add together the parts of water and drink mix to find the total parts of the mixture. Then, we calculate the fraction of the mixture that is water and convert that to a percentage.
First, we find the total parts of the mixture:
Water: 4 parts
Drink mix: 2.5 parts
Total parts: 4 + 2.5 = 6.5 parts
Next, we calculate the percentage of the mixture that is water:
(Parts of water / Total parts) × 100%
(4 parts / 6.5 parts) × 100% \approximately 61.5%
Rounding to the nearest tenth, we get:
61.5
What is the missing number from 81,-,9,-,1
Answer:
-27 and -3
Step-by-step explanation:
81, -27, 9, -3, 1
The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 81,-,9,-,1
we have to find the missing number.
As we observe when 81 is divided by -3 we get -27.
Now when -27 divided by -3 we get 9
When 9 is divided by -3
we get -3
When -3 is divided by -3
the value will be 1.
81, -27, 9, -3, 1
Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1
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Which inequality is equivalent to
6. X+7
5x+3?
Step-by-step explanation:
(1/2x)+7 is a equation
Answer:
on edgenuit it's c
Step-by-step explanation:
-15x-53/x^2+8x+15
solve for x and y
−8y+9x=−5
8y+7x=−75
Answer:
-8y + 9x = -5
8y + 7x = -75
16x = -80
x = -5
8y + 7(-5)= -75
8y - 35 = -75
8y = -40
y = -5
(-5,-5)
Clare has $150 in her bank account. She buys a bike for $200. What is Claire's account balance now?
Cooldown
unit 5, lesson 4
4.4
Answer:
-50
Step-by-step explanation:
she only had 150, but spent 200 she overdrew
she has an overdraft of $50
Answer:-50
Step-by-step explanation:150-200=-50
Claire is that in the first five years between 1977 in 1980 to the hospital about $12 per year are in the second five years between 1983 in 1888 the causal only by about two dollars a year show that Claire is correct
Answer:
Step-by-step explanation:
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).
On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that f(x) = 1/4[tex](8)^x[/tex]
The Reflecting f(x) across the y - axis,
[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]
g(x) reflecting across the x-axis,
The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple
We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
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Answer:
Your answer is D
Step-by-step explanation:
I'm being forced to redo a handful of my answers since they were deleted...
"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."
I need help please and thank you
Answer: [tex]Perimeter= 71.75[/tex]
The parameter of a 2-D figure is the total length of its boundaries.
Step-by-step explanation:
In the given figure a hexagon is given with the length of its sides given in mixed fraction.
A mixed fraction can be solved by [tex]p\frac{x}{y} =\frac{(p*y)+x}{y}[/tex]
So adding the given sides in the figure:
[tex]Perimeter=14\frac{3}{4}+ 4\frac{1}{2}+ 8\frac{1}{2}+10 \frac{2}{5}+10 \frac{2}{5}+12 \frac{4}{5}[/tex]
[tex]=\frac{(14*4)+3}{4} +\frac{(4*2)+1}{2} +\frac{(8*2)+1}{2} +\frac{(10*5)+2}{5}+ \frac{(10*5)+2}{5} +\frac{(12*5)+4}{5}[/tex]
[tex]=\frac{59}{4}+ \frac{9}{2}+ \frac{17}{2}+ \frac{52}{5}+ \frac{52}{5}+ \frac{64}{5}[/tex]
[tex]=14.75+4.5+8.5+10.4+10.4+12.8[/tex]
[tex]Perimeter= 71.75[/tex]
The perimeter of the given figure is 71.75
What's 0 divided by 0?
Answer:
Nothing
Step-by-step explanation:
You can't divide by zero
Answer:
ANYTHING DIVIDED BY 0 IS ALWAYS ZERO
Step-by-step explanation:
PLEASE MARK BRAINLIEST
On a certain hot summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that day?
127 children and 264 adults swam at the public pool that day
Solution:
Let "c" be the number of children swam
Let "a" be the number of adult swam
Cost for each children = $ 1.25
Cost for each adult = $ 2.25
391 people used the public swimming pool
Therefore,
c + a = 391
a = 391 - c ------- eqn 1
The receipts for admission totaled $752.75
Therefore, we frame a equation as:
number of children swam x Cost for each children + number of adult swam x Cost for each adult = 752.75
[tex]c \times 1.25 + a \times 2.25 = 752.75[/tex]
1.25c + 2.25a = 752.75 ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
1.25c + 2.25(391 - c) = 752.75
1.25c + 879.75 - 2.25c = 752.75
c = 879.75 - 752.75
c = 127
Substitute c = 127 in eqn 1
a = 391 - 127
a = 264
Thus 127 children and 264 adults swam at the public pool that day
lonnie bought 6 pieces of ribbon. Each ribbon was 2 and 3/4 yards long. How much ribbon did Lonnie buy in all
Answer:
14.04
Step-by-step explanation:
you mupltiy
Answer:
b
Step-by-step explanation:
2.34 x 6 = 14.04
so it would total up to 14.12
Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?
Answer:
approximately (put the approximately sign) $92.94
Step-by-step explanation:
Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.
What is this (20+25)/3
Answer:
78 witch is 15%
Step-by-step explanation:
If theta is an acute angle, solve the equation tangent theta equals four fifths
. Express your answer in degrees, rounded to one decimal place.
Answer:
[tex]\theta=38.7\degree[/tex]
Step-by-step explanation:
We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.
We take tangent inverse of both sides to get:
[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]
Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:
[tex]\theta=38.6598\degree[/tex]
To one decimal place, we have;
[tex]\theta=38.7\degree[/tex]
To solve the equation 'tangent theta equals four fifths', we use the inverse tangent function, or arctan(4/5). Using a calculator in degree mode, the result is approximately 38.7 degrees.
Explanation:To solve the equation tangent theta equals four fifths, we need to find the angle whose tangent is 4/5. We can find this using the inverse tangent function (also known as arctan)
So, theta = arctan(4/5)
Use a calculator to find out the value of arctan(4/5). Make sure your calculator is in degree mode because the answer needs to be in degrees. The answer is approximately 38.7 degrees, rounded to one decimal place.
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V=15.81 V, P = 500 mW, I=
Answer:
0.032 Amperes
Step-by-step explanation:
in this question We are given;
Voltage, V =15.81 VPower, P = 500 mW (Milli-watts)We are required to determine the current, I
We need to know that power, P is given by the product of current and voltage.
That is;
Power = VI
But; 1 mW = 0.001 Watts
Thus, 500 mW = 0.5 watts
Rearranging the formula;
I = Power ÷ V
= 0.5 watts ÷ 15.81 V
= 0.0316 Amperes
= 0.032 A
Thus, the current, I is 0.032 Amperes
what property can be used to solve x-3= -5
Answer:
-2
Step-by-step explanation:
x-3=-5
x=-5+3
x=-2
42 : 36 : 54 in simplest form
Step-by-step explanation:
42:36:54 divide this by 6
= 7 : 6 : 9 simplest form
What is 83.9 rounded two decimal places
how do you solve
-4/7 + 2/7x - 14x + 4/7
Answer:
-96/7x
Step-by-step explanation:
-4/7+2/7x-14x+4/7
-4/7+4/7+2/7x-14x
2/7x-14x
2/7x-98/7x
-96/7x
Answer:
-96/7
Step-by-step explanation:
570 times what gets 690
Answer:
1.21052631579 is the exact answer or 1.2 is if you round it
Step-by-step explanation:
This is the answer I got from dividing 690 by 570. Hope this helped
Answer:
1.21 to the nearest hundredth.
Step-by-step explanation:
570 * x = 690
x = 690/570
x = 1.210526316.
What is the y-intercept of the function f(x)=4 -- 5x?
Mark this and return
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5. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)
Answer: s > 5
Step-by-step explanation:
-s² + 25s - 100 > 0
Coefficient of s² is -1, multiply the equation through by -1.
-1 × (-s² + 25s - 100)
s² — 25s + 100
ax² + bx + c
Then you get the factors x and y that gives x + y = b and xy = c
b = -25 and c = 100, x = -20 and y = -5
-20 × -5 = 100 and -20 + -5 = -25
Then
s² — 20s — 5s + 100 > 0
Factorising,
s (s — 20) — 5(s — 20) > 0
(s — 5)(s — 20) > 0
(s — 5) > 0 and (s — 20) > 0
s>5 and s>20
s > 5
Hope this Helps?
Does Y+7=2x and
2y=4x-14 have a solution?
Answer: It has no exact solution
find the value of x.
13,15,17,x,20,21; The median is 18.
Answer:
1
Step-by-step explanation:
13 15 17 x 20 21
Cross out all outer numbers
We are left with 17 and x
With double medians, you add those two together and then divide them by two.
With the median (total) being 18, we will first add 17+x then divide Y/2 = 18
The value of x is 1
Simplify: (-7x^2y^4)(-2x^3y^4)
Answer: 14x^5y^8
Step-by-step explanation:
(-7x^2y^4)(-2x^3y^4)
-7x^2y^4*-2x^3y^4, next take out the constants
−(7×−2)x^2x^3y^4y^4, -(7*-2)=14, so now you just need to add the variables.
(x^2+x^3)+(y^4+y^4)=x^5y^8
14x^5y^8
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤