6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second. The Time takes to travel the sound is 7.69.
Given that,
The deepest area in the ocean is the Marianas Trench in the Pacific Ocean. 6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second.
We have to calculate the time it takes for sound to travel from the ocean's surface to the Marianas Trench's depths and back, to the nearest tenth of a second.
We know the Distance formula is
Distance =rate×times
Time=Distance/rate
We convert 4700 feet to miles
We get,
4700 feet =0.89 miles
Now,
Time=6.85/0.89
Time=7.69
Therefore, the Time takes to travel the sound is 7.69.
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The Sydney Opera House can house no more than 5738 people. Luisa Miller always brings crowds of at least 4,000 people. What is the maximum number of empty seats that might not be filled during her performance?
What's the inequality for this story?
Write the steps to solve it
What is the solution?
When this inequality is graphed will the limit be an open or closed circle?
When this inequality is graphed will the line have an arrow pointing to the right or to the left?
The maximum number of seats that might not be filled during her performance is 1738 , the the inequality representing this story is 4000+x≤5738 .
In the question ,
it is given that
Luisa Miller always brings crowds of at least 4,000 people, and
Sydney Opera House can house no more than 5738 people
no more than is represented by the inequality "≤" .
let x be the number of empty seats during her performance .
So, according to the question , the inequality becomes
4000+x≤5738
on solving further , we get
x ≤ 5738-4000
x ≤ 1738
So, maximum number of seats that might not be filled during her performance is 1738 .
When the inequality x ≤ 1738 , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .
as when the numbers decreases , it move towards left side
So, When the inequality is graphed, the line will have an arrow pointing towards the left .
Therefore , the maximum number of seats that might not be filled during her performance is 1738 ,
the the inequality representing this story is 4000+x ≤ 5738 ,
the limit of graph will be closed circle and arrow will be pointing towards left .
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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?
A) The graph of y = f(x) will shift left 2 units.
B)The graph of y = f(x) will shift right 2 units.
C) The graph of y = f(x) will shift up 2 units.
D) The graph of y = f(x) will shift down 2 units.
We have a horizontal translation of 2 units to the right, so the correct option is B.
"The graph of y = f(x) will shift right 2 units."
Which effect will have it on the graph?
For any function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left.
if N < 0, the translation is to the right.
In this case we have the function written as:
y = f(x - 2)
So we have N = -2, which means that we have a translation of 2 units to the right.
Then the correct option is B.
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I am less than a whole. I am 3 decimal places.when rounded to the nearest tenth I am 0.78.what number am i
The number that is less than a whole, in 3 decimal places and when rounded to the nearest tenth is 0.78 will be 0.775.
When is a decimal?A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position. The word decimus, which means tenth in Latin, is derived from the base word decem, or 10.
It should be noted that 0.775 is in 3 decimal places. In this case, the last 5 will be converted and this will become 0.78.
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Triangle ABC has vertices A(-4, 1), B(-1, 1), and C(-1, 3) as shown. Reflect triangle ABC twice, first across the y-axis, then across the x-axis. Graph both reflections on one coordinate plane. Then rotate triangle ABC 180° about the origin. Graph the rotation.
As per the given question;
The coordinates of the original triangle ABC with vertices is ;
A(-4, 1), B(-1, 1), and C(-1, 3)
For the first reflection along y-axis, the coordinates of y will remain same and x will reverse to positive.
Y-axis reflection: A(4, 1), B(1, 1), and C(1, 3)
Now, the triangle is again reflected along x-axis.
Thus, for the first reflection along x-axis, the coordinates of x will remain same and y will reverse to positive.
x-axis reflection: A(4, -1), B(1, -1), and C(1, -3)
Rotation: The circular motion of an item around a center is referred to as rotation.
The rotation of triangle ABC 180° about the origin.
Rule for Rotation 180° (Clockwise and Counterclockwise);
(x, y) ----- > (-x, -y)
A(4, -1) ------> A(-4, 1)
B(1, -1) ------> B(-1, 1)
C(1, -3) ------> C(-1, 3)
Rotation 180° = A(-4, 1), B(-1, 1) and C(-1, 3)
Thus, the result of the coordinates of the new triangle with vertices are found.
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Four fifths of the product of x² and y
Answer:x^2*y/(4/5)
Step-by-step explanation:
That's the equation. Your question is the word form.
Use an integer or a fraction to describe the slope of a line perpendicular to this line please!!!
A line with slope m then the slope of a line perpendicular to it is ;M = -2/3
What is the slope of a straight line?A straight line of the form y = mx + c has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.
To find the slope m of the given line using the slope formula
[tex]m = \dfrac{y-q}{x-p}[/tex]
with (p, q ) = (1, 0) and (x₂, y₂ ) = (x, y) 2 points on the line
m = (3 -0)/(3-1)
m = 3/2
ALso it is given that a line with slope m then the slope of a line perpendicular to it is ;
M = -2/3
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assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p.d.f. is:
assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right then P( -1.96 ≤ Z≤ 1.96) = 0.95
assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right
Given that the z -scores -1.96 and 1.96
we have to find Probability( -1.96 ≤ Z≤ 1.96)
Probability( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|
= |A(1.96)+A(-1.96| (∵A(-Z) = A(Z))
= 0.4750+0.4750
= 2×0.4750
= 0.95
The probability lies between -1.96 to 1.96
P( -1.96 ≤ Z≤ 1.96) = 0.95
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FACTOR:
b(a+1)^2 - 5(a+1)
Answer:(a+1) (ba+b−5)
Step-by-step explanation:
Which list orders the numbers from least to greatest?
O√13, 2.1, 5.4, √/17, T
OT, 3.2, 6.3, √/17, √20
√23, 2.6, 1.3, √30, π
T, √15, 4.1, 4. 85, √30 savvas
The list which orders the numbers from least to greatest is π, √15, 4.1, 4. 85, √30.
To find the list which orders the numbers from smallest to largest we need to find the values of the respective numbers,
In the first list, we have the numbers √13, 2.1, 5.4, √/17, π. The value of √13 = 3.6 and the next term is 2.1. As 2.1 < 3.6, the list does not arrange numbers in increasing order.
In the second list, we have the numbers π, 3.2, 6.3, √17, √20. The value of π is 3.14 and the next terms are 3.2 and 6.3 which are more than the former. But the value of √17 is 4.1 which is less than the previous number 6.3.
In the third list,√23, 2.6, 1.3, √30, π the numbers are not arranged in increasing order as √23's value is 4.8 more than the second number.
In the fourth list, π,√15, 4.1, 4. 85, √30 the numbers are arranged in increasing order when calculated. The value of π is 3.1, of √15 is 3.8, then there are 4.1 and 4.85, and at last, is √30 whose value is 5.5.
Hence, π <√15 < 4.1 < 4. 85 <√30 is the list in the increasing order.
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What is the answer to the math question 4+8(9+10)
Answer:
31
Step-by-step explanation:
9+10
19
4+8
12
19+12= 31
PLEASE HELP ME
(03.03 MC)
A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m. The function below shows the number of bacterial cells, f(x), after x hours from 1 p.m.: f(x) = 20(2)* Which of the following is a reasonable domain for the function?
A. All positive integers
B. 1≤x≤ 11
C. 0≤x≤ 20
D. 0≤x≤ 10
Answer:
D. 0 ≤ x ≤ 10
Step-by-step explanation:
I took the quiz.
The domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
It is given that:
A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m.
The function is:
f(x) = 20(2)ˣ
The value of x represents the domain of the exponential function.
The domain of the function is:
0 ≤ x ≤ 10
Thus, the domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.
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500 divided by 2/3 = 500 x _ = _ feet
Answer:
500 divided by 2/3 = 500 * 3/2= 750
Step-by-step explanation:
find the coordinates
Answer:
C (50, - 40 )
Step-by-step explanation:
C is the midpoint of AB
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (0, - 80 ) and (x₂, y₂ ) = B (100, 0 ) , then
C = ( [tex]\frac{0+100}{2}[/tex] , [tex]\frac{-80+0}{2}[/tex] ) = ( [tex]\frac{100}{2}[/tex] , [tex]\frac{-80}{2}[/tex] ) = (50, - 40 )
In 2008, Evan bought a car. In 2010, Evan sold the car to Grace. Evan made a loss of 25%. In 2018,
Grace sold the car for £15225 Grace made a profit of 45% Work out how much Evan bought the car
for in 2008.
The price in which Evan bought the car for in 2008 is 75 percentage or £14000
What is Percentage ?
Percentage (%), which is a relative figure used to denote hundredths of any quantity. One percent is represented by the symbol 1%; hence, 100 percent denotes the entire amount, and 200 percent designates double the amount.
Given,
Loss% = 25%
Profit% = 45%
selling price = £15,225
The price of the car before getting the profit of 45%
= 15225 / 145 x 100
= 105 x 100
= 10500
The price of the car before getting the profit of 45% is £10500
Now, he had a loss of 25%
=100% - 25%
= 75%
So, the price will be
= 10500 / 75 x 100
= 14000
Hence, Evan bought the car for £14000 in 2008
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If the ratio of m to n is equal to 5 then which of the following is true?
If ratio of m to n is equal to 5 then, m = 5n
What are ratios?Ratios :- The quantitative relation between two amounts showing the number of times one value contains or is contained within the other are known as ratios.
m/n = 5
m = 5
Therefore, option b is correct i.e. m = 5.
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You collect a total of $160 in donations from three people. The three donations are in the ratio 5 : 5 : 10. How much do the two people donate that donate the same amount? How much greater is the largest donation than the smaller donations?
1. The amount donated by the people with same ratio is $40.
2. The amount greater is $40.
How to calculate the value?From the information, there's a total of $160 in donations from three people and the three donations are in the ratio 5 : 5 : 10.
It should be noted that the amount donated by the people with same ratio will be:
= 5/(5 + 5 + 10) × $160
= 5/20 × $160
= $40
The amount donated by the person with largest ratio will be;
= 10/20 × $160
= $80
Therefore, the difference will be:
= $80 - $40
= $40
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At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo.
Complete the table.
The number of baby camels at the zoo is 44.
Given: The number of adult camels is 6 and the number of baby camels is 5 for every 6 camels respectively.
To find :We have to find how many baby camels are at the zoo.
Explanation:
Step 1:The ratio of adult camels and baby camels is 6:5
Step 2:Let the number of adult camels = 6x .
Step 3:Let the number of baby camels = 5x
Step 4:It is given that the total number of adult camels and baby camels is 44 at the zoo. So According to the questions,
⇒6x+5x=44
⇒11x=44
⇒x=44/11
⇒x=4
∴The number of adult camels = 6×4
= 24
And the number of baby camels at the zoo.
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Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-7, 6) and (5,2).
3x - y = -7 is the required equation of the line, which will bisect the line segment with endpoints (-7, 6) and (5,2).
the equation for the perpendicular bisector of the line with end points [tex](x_{0},y_{0})\\[/tex] and [tex](x_{1},y_{1})[/tex] are given by:
[tex]2(x_{1} - x_{0})x+2(y_{1}-y_{0})y = x^{2} _{1}-x^{2} _{0}+y^{2}_{1}-y^{2}_{0}[/tex]
in the given case we have,
[tex](x_{0},y_{0})\\[/tex] = (-7,6)
and
[tex](x_{1},y_{1})[/tex] = (5,2)
now substituting the given values in the above equation we get,
2(5-(-7))x + 2(2-6)y = 5²- (-7)² + 2²- 6²
= 24x - 8y = 25 - 49 + 4 - 36
= 24x - 8y = -56
on simplifying by dividing the LHS and the RHS by 6 we get our equation to be,
3x - y = -7
What is a perpendicular bisector?
A line or segment that is perpendicular to another segment and passes through its midpoint is called a perpendicular bisector.
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Solve for n. −2(n − 3.5) > 15 n > −4 n < −4 n > 4 n < 4
Answer: N > -4
Step-by-step explanation:
Cuz It's Right
The solution for inequality is n < -4.
The given inequality is −2(n − 3.5) > 15
An inequality will have the sign < , > , ≥ or ≤ instead of an equality in an equation. That is, an inequality compares two quantities on either sides of the inequality sign.
We are asked to solve the inequality −2(n − 3.5) > 15. That is, to find the possible values for n.
−2(n − 3.5) > 15
Dividing throughout by 2,
-(n - 3.5) > 15/2
⇒ -n +3.5 > 7.5
Subtracting 3.5 from both sides,
⇒ -n > 7.5 - 3.5
⇒ -n > 4
Multiply -1 on both sides of the inequality and the inequality will be reversed,
⇒ n < -4 is the solution for n.
The solution is the values of n less than -4.
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Ar 1:00am the temperature in the Gardem City was -8°F. by noon, the temperature was 25°F. What was the change in temperature, in degrees Fahrenheit, from 1:00am to noon
The change in temperature was 25 F - (-8F) = 33 F.
Answer:
Explanation:
The change in temperature is the difference between the two temperatures. In our case this is 25 F - (-8F) = 33 F. Notice that the subtracting the negative number changes the sign of the operation and turns it into an addition problem25 F+ 8 F = 33 F.
I think of number double it and subtract two i get nine
Answer: the number in question is 5.5
Step-by-step explanation: brainliest please? i could really use it
what is the horizontal asymptote as $x$ approaches positive infinity of $$\sqrt{4x^2 5x} - \sqrt{4x^2 x}?$$the horizontal asymptote is in the form $y
the horizontal asymptote as x tends to infinity that is approaches positive infinity of \sqrt{4x^2+ 9x} - \sqrt{4x^2 +x} is 2
What do the asymptotes mean?
Definition of asymptote
a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the
slope of the line
[tex]f(x)=\sqrt{4x^2+9x}-\sqrt{4x^2+x} \\\\f(x)=2x(1+\frac{9}{4x}) ^{\frac{1}{2} } -2x(1+\frac{1}{4x})^\frac{1}{2}[/tex]
[tex]f(x)=2x( 1+\frac{1}{2} .\frac{9}{4x} +...... -1 -\frac{1}{2} .\frac{1}{4x} - ......)[/tex]
all the other terms involve 1/powers of x which vanish as x tends to infinity
[tex]f(x)=\frac{9}{4} -\frac{1}{4} +...[/tex]
Hence
[tex]\lim_{x \to \infty} f(x)=2[/tex]
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The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, write an equation for this scenario where "x" represents the width.
*
Perimeter formula: 2l+2w=P
Make sure your final equation is simplified
If the length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, The equation for this scenario where "x" represents the width is 2x + 2 (x +19 ) = 46 and the width is 2 feet.
WidthGiven data :
Length of a rectangle = 19 feet
Perimeter = 46 feet
Perimeter formula: 2l+2w=P
Let x represent the width
Hence,
2x + 2 (x +19 ) = 46
2x + 2 x +38 = 46
Collect like terms
4x = 46 -38
4x = 8
Divide both side by 4x
x = 8/4
x = 2 feet
Therefore the equation that was used to find the width is 2x + 2 (x +19 ) = 46 while the width is 2 feet.
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Masha is training for a marathon. she is doing tempo runs to get faster. in tempo runs, a runner varies their pace during the race. masha jogs 1 mile , then runs at a fast pace for 11 miles. she finishes by walking 2 miles to cool down. write a numerical expression to model the number of miles masha runs, jogs, or walks?
The numerical expression for model the number of miles to Masha runs, jogs or walks will be;
⇒ 1 + 11 + 2
⇒ 14
What is Addition?
Addition in math is the process of combining two or more numbers. Addends are the numbers added, and the result or the final answer.
Now,
Masha is training for marathon.
Masha jogs 1 mile.
And, runs at a fast pace for 11 miles.
And, For finishing by walking she walk 2 miles to cool down.
Now,
The numerical expression for model the number of miles to Masha runs, jogs or walks will be;
⇒ Miles in jogs + miles in runs + miles in walk
⇒ 1 + 11 + 2
⇒ 14 miles.
Therefore,
The numerical expression for model the number of miles to Masha runs will be;
⇒ 1 + 11 + 2
⇒ 14
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If f(a)= -4 what is the value of a
Complete the proof
Given: Line AB intersects line DC at point E ; AEB and DEC are straight angles.
Prove: AEC = DEB
∠ AEC = ∠ DEB by using the property of the straight lines.
We are given the two lines AB and CD.
We are given that they intersect at point E and both are the straight lines.
Now, we know that, the sum of angles of a straight line will be equal to 180° (straight line property).
Now, For line AB, we get that:
∠ AED + ∠ DEB = 180° …(1)
For line CD, we get that,
∠AED + ∠ AEC = 180° … (2)
Now, we will subtract (1) from (2) and we get that:
∠ AED + ∠ DEB - ∠AED - ∠ AEC = 180° - 180°
∠ DEB - ∠ AEC = 0
∠ DEB = ∠ AEC
∠ AEC = ∠ DEB
Hence proved.
Therefore, we get that, ∠ AEC = ∠ DEB by using the property of the straight lines.
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During their family vacation, marcus took 18 photos on his cell phone. the ratio of the number of photos marcus took to the number of photos his sister maribel took is 3 to 4. how many photos did maribel take?
Given,
No. of photos Marcus took on his cell phone = 18
Ratio of photos took by Marcus and Maribel = 3:4
Let the no. of photos took by Maribel be [tex]x[/tex].
∴ [tex]\frac{18}{x} = \frac{3}{4}[/tex]
⇒[tex]3x = 72[/tex]
⇒ [tex]x = \frac{72}{3} = 24[/tex]
Hence, Maribel took 24 photos.
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Solve the following problems using special product. SHOW YOUR SOLUTION.
2.) What is the area of a rectangle if its length measures (10y+4w)cm and its with measures (10y-4w)cm.
[tex]a = l \times w \\ a = (10y + 4w)(10y - 4w) \\ a = 10y(10y - 4w) + 4w(10y - 4w) \\ a = 100 {y}^{2} - 40wy + 40wy - 16 {w}^{2} \\ a = 100 {y}^{2} - 16 {w}^{2} [/tex]
ATTACHED IS THE SOLUTION
Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of
$6.50. Lily went into the same grocery store and bought 10 apples and , bananas,
costing a total of $17.50. Write a system of equations that could be used to determine
the price of each apple and the price of each banana. Define the variables that you
use
to write the system.
Answer:
0.87 cent
if i did this right.
Step-by-step explanation:
17.50 divided by 2 = 8.75
8.75 divided by 10 = 0.87
you estimate that you can do 30 math problems in 45 minutes. How many minutes should it take you to do 40 math problems?
Answer:
60 minutes
Step-by-step explanation:
Proportions:Number of problems done, and the time taken to finish them are in proportion.
Let the time taken to finish 40 problems = 'x'
30 : 45 = 40 : x
Product of extremes = 30 *x = 30x
Product of means = 45 * 40
Product of extremes = Product of means
30 *x = 45 * 40
[tex]\sf x = \dfrac{45*40}{30}[/tex]
x = 15 * 4
x = 60 minutes