Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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“a fraction f multiplied by 13 equals 29.
Answer:
29/13
Step-by-step explanation:
The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.
How to find maxima and minima without derivatives.
Answer:
Finding out the relative maxima and minima for a function can be done by observing the graph of that function
I need help! Show all the work, step by step.
Answer:
z = [tex]\frac{4x}{3y}[/tex]
Step-by-step explanation:
x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4x = 3yz ( isolate z by dividing both sides by 3y )
[tex]\frac{4x}{3y}[/tex] = z
A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.
The equation is y = 0.5x and the slope is 0.5.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]
Therefore the equation is y = 0.5x and the slope is 0.5.
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The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c
The slope = m
The duration after which the farmer measures the average height of her tomato = x weeks
The average height of the tomato plant after x weeks = y
For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear
This means that the average height of the tomato will be represented by a linear equation as shown below
y = mx + c
The slope of the equation is m
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A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?
Answer:
14 miles if that's how far he went up
17miles if you're calculating his distance covered
The distance he hiked up the mountain is 10 miles.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
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 a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.
The total elevation will be calculated as below:-
Elevation = 10 + 3 + 1 - 4
Elevation = 14 - 4
Elevation = 10 Miles
Therefore, the distance he hiked up the mountain is 10 miles.
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QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?
Answer:
15 dollars and 40 cents
Step-by-step explanation:
you add the shirt cost to the skirt cost to 3 times the sock cost
After that, you multiply that by 1.07 for the sales tax
then you take 75(her money) and subtract it from your previous answer to get how much she has left
30 - 6 (x + 3) + 2x = 8
Answer:
I believe the correct answer would be the first X=1 and the second X=1
Basically they both equal 1
Answer:
X=1
Step-by-step explanation:
does anyone know how to solve this
Answer:
46
240
Step-by-step explanation:
Substitute the given values for the variables, and evaluate the expressions.
1.
n = -5; m = 4
2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46
2.
H = 60; Q = 40; V = 10
HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240
Answer:
46
240
Step-by-step explanation:
1) Put n = -5 and m = 4 into the equation, you'll then have;
2(-5)²-4
2(25)-4
50-4=46
2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;
(60×40×10)/100
24000/100
=240
A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.
A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids
Round 4.01 to the nearest one decimal place.
the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line
Answer:
No answer i can provide
Step-by-step explanation:
If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.
Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.
Hope this helps!
Answer:
line is y = 1
Step-by-step explanation:
the question is talking about loci, in this case 2 point
these 2 points are (3,-2) and (3,4)
draw a line to connect these to points and bisect the line.
to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .
then draw another arc at the sencond point
were the 2 arcs meet draw a line - this straight line will be the answer.
y = 1
HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.
Step-by-step explanation and answer:
To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:
Domain
Independent variableInput valueX-valueRange
Dependent variableY-valueOutput valueHope this helps!!
How to find the equation of a line.
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.
Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?
The first digit of the whole- number quotient will be in the hundred place.
To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;
Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.Since the divisor is a unit value, we will not be rounding it up.Take the quotient of 600 and 4.[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]
From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)
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A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories
are in 2 cups of trail mix?
what is the answer plz ?
Answer:
1080
Step-by-step explanation:
in 135 calories there is 1/4 cup
? there is 2 cup
135×2=270 ÷1/4
270×4=1080 cups of trail mix
I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?
Answer:
B) men are less likely to prefer driving trucks than women
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
8v + 4Step-by-step explanation:
Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4
= 8v + 4...ans
Hope it Helps you!!help me with this please!?!?!?!?!
Answer:
17/4
Step-by-step explanation:
add the fractions
Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?
Answer:
5.4 im pretty sure
Step-by-step explanation:
Consider the expression 8ab +3b + 16 - 4a ·How many terms are there ? ·How many factors are in the term (identify them ) · Which term is a constant ?
Answer:
the answers are below
Step-by-step explanation:
1: 4
2: 3 and they are 8ab, 3b, and 4a
3: 16
Answer:
8 a b - 4 a + 3 b + 16. Simplify: 8 a b - 4 a + 3 b + 16 Answer: 8 a b - 4 a + 3 b + 16
Step-by-step explanation: Coefficient is any of the factors with the sign of the term. ... The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2
PLEASE HELP WITH STEPS 25 POINTS!!!!
Answer:
[tex]1.75+0.25log_{10}a[/tex]Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?
Answer:
Step-by-step explanation:
help me pls I need help
Answer:
parallel lines are two lines drawn next to each other without a intersection
Graph the line x = -6 on the axes delta math
Answer:
Draw a vertical line on a graph, with the x-axis at -6
this line should be parallel to the y-axis, but shift to the left 6 units.
Step-by-step explanation:
7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
What is a negative z score and when would it be in your favor to have one?
Answer:
A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.
Step-by-step explanation:
Examples: Calculating a Z-Score
Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:
5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20
The sample mean of this dataset is 13 and the sample standard deviation is 5.51.
1. Find the z-score for the value “8” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (8 – 13) / 5.51 = -0.91
This means that the value “8” is 0.91 standard deviations below the mean.
2. Find the z-score for the value “13” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (13 – 13) / 5.46 = 0
This means that the value “13” is exactly equal to the mean.
3. Find the z-score for the value “20” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (20 – 13) / 5.46 = 1.28
The negative z-score indicates that a particular value will be less than the mean.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The points regarding the z-score are as follows:
A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.The negative z-score indicates that a particular value will be less than the mean.
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Someone plz help me :(
Answer:
The answer is a
Step-by-step explanation:
Like and give 5 star rating
Answer:
8/3 miles over 8miles
8 mi/3 hrs = 8/3 mi/hr = 2.66666.
Calculate the distance between the points H= (0, 2) and E = (3, -6) in the coordinate plane.
Answer:
The answers is root 73.
Process is shown in the picture.
Callum says that every number is greater than its opposite. Do you agree?
Answer:
I disagree with Callum because the opposite of -1 is 1 and a positive number is greater than a negative number. If Callum wants to be right then he has to say every positive number is greater than its opposite in order to be true.
Step-by-step explanation:
what is the least common factor for 1,000 and 150
Answer:
least common multiple: 1000
greatest common factor is 50
least common factor would be 1, but that isn't really a common thing to calculate
Step-by-step explanation: