Answer:
800 bacteria.
Step-by-step explanation:
Please give the brainliest.
Planes x and y are perpendicular. Points a, e, f, and g are points only in plane x. Points r and s are points in both planes x and y. Lines ea and fg are parallel. Based on this information, which pair of lines, together, could be perpendicular to rs? select two options.
The pair of lines perpendicular to RS are EA and FG.
A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.
What is plane?
A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.
Main Body:
Given
E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.
Explanation:
The lines which together could be perpendicular to RS are EA and FG.
We have to first draw both the planes according to the given information in question.
X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.
Hence we can observe that lines EA and FD are perpendicular on line RS.
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In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 16 feet of fence for the shortest side and 20 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen? 8 feet 12 feet 36 feet 48 feet
========================================================
Explanation
a = 16 = one leg of the right triangleb = unknown = the other leg of the right trianglec = 20 = longest side, aka hypotenuse, of the right triangleUse the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(20^2 - 16^2)
b = sqrt(400 - 256)
b = sqrt(144)
b = 12
The missing leg of this right triangle is 12 feet long. This isn't the final answer, but it does lead to the answer. Choice B is a trick answer, so be careful.
We have a right triangle with sides 12, 16 and 20. The perimeter is therefore 12+16+20 = 28+20 = 48 feet which is the amount of fencing needed. The answer is choice D.
Side note: Your teacher mentions the shortest side is 16 feet, but that's clearly not the case since it should be 12 feet instead. This seems like a typo.
Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:
0.80x − $5.00 ≤ $65.00.
Which inequality represents all possible solutions for x?
A.
x ≤ $75.00
B.
x ≤ $76.25
C.
x ≤ $86.25
D.
x ≤ $87.50
Answer:
Step-by-step explanation:
c
Answer:
D
Step-by-step explanation:
hope it helped:)
Compute the sample standard deviation for strength of the concrete (in psi).
3940, 4140, 3200, 3200, 2990, 3810, 4140, 4040
The range is 1150 psi.
S=__psi
(Round to one decimal place as needed.)
Answer: The standard deviation is 443.6 (rounded up to one decimal place)
Step-by-step explanation:
σ2 = (Σ(xi - μ)^2)/N
= ((3940 - 3682.5)^2 + ... + (4040 - 3682.5)^2)/8
= 1574150/8
= 196768.75
σ = [tex]\sqrt{196768.75}[/tex]
= 443.58623738795
Frequency Table
Value Frequency
2990 1 (12.5%)
3200 2 (25%)
3810 1 (12.5%)
3940 1 (12.5%)
4040 1 (12.5%)
4140 2 (25%)
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Solve the following equation by completing the square.
4x²-16x + 8 = 0
A. x = 2 + √2 or x = -2 + √2
B. x = 2 + √2 or x = 2-√2
C. x = -2 + √2 or x = -2-√2
D. x = 4 or x = 0
Answer:
B ) x = 2 + √2 or x = 2-√2
Step-by-step explanation:
See attachment...
Hope this helps! :)
Mia bought 6 pounds of bananas for $3.54. How much does 1 pound of bananas cost?
A.
$0.71
B.
$0.59
C.
$0.51
D.
$0.44
plss show support too my first day!
A pound of banana has its cost to be (c) $0.59
How to determine the cost of one pound?From the question, we have the following parameters that can be used in our solution:
Amount spent on bananas = $3.54 degrees
Number of pounds = 6 pounds
From the above parameter, we can calculate the cost of one pound using the unit rate formula
The unit rate is calculated as
Unit rate = Amount spent on bananas/Number of pounds
Substitute the known values in the above equation
So, we have the following equation
Unit rate = 3.54/6
Evaluate the quotient
Unit rate = 0.59
Hence, the cost of one pound is $0.59
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i need help on this thanks
The value of x that makes m || n is x = 20
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
The alternate interior angles of two intersecting lines, such as line "m" and line "n" in the exercise, must both be congruent in order for m || n to exist. Realizing that congruent means the same thing.Two alternate internal angles in the exercise are (2x+20)° and 3x°Solving this for ''x'' :.
3x=2x+20x=20The value of x that makes the opposite inner angles congruents (making 3x° congruent to 2x+20°) is x = 20.
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I have 4 Friends. But I gain a new friend. But then 4 of my friends did me dirty by stealing my house keys. So how many friends do I have?
Answer:
1
Step-by-step explanation:
4+1=5
5-4=1
Answer:
you have 1 friend
Step-by-step explanation:
you have 4 then you add another
that's 5
then you lose 4
5-4 is 1
Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to seventy-two with a scale of eight and is titled Time in minutes. The vertical axis is from negative four hundred to four hundred eighty with a scale of eighty and is titled Altitude in meters. The graph of the line is y equals negative eleven x plus four hundred forty.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to seventy-two with a scale of eight and is titled Time in minutes. The vertical axis is from negative four hundred to four hundred eighty with a scale of eighty and is titled Altitude in meters. The graph of the line is y equals negative eleven x plus four hundred forty.
How fast did Amir descend?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
404040 meters per minute
(Choice B)
B
101010 meters per minute
(Choice C)
C
202020 meters per minute
(Choice D)
D
111111 meters per minute
The function (equation) that returns Amir's altitude, y, with respect to time, x, y = -11·x + 440, when differentiated, to find the rate of change of the altitude, indicates that rate at which Amir descended is D. 11 meters per minute
What is differentiation in mathematics?Differentiation is the process or method by which the derivative of a function is found. The derivative indicates the instantaneous rate at which the value of the function changes with respect to the change in the argument of the function.
The equation of the function that gives his altitude relative to the sea level as a function of time is; y = -11·x + 440
The differentiation of the function for the height, y, in terms of the time, x, gives the speed which is the same as the at which Amir descended as follows;
[tex]Speed = \dfrac{dy}{dx} = \dfrac{d}{dx} \left(-11\cdot x+400\right) = -11[/tex]
The speed with which Amir descends is 11 meters per minute
The correct option is D. 11 meters per minute
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(1 point) a poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate. (a) find a 95% confidence interval for p.
Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).
In the given question,
A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.
We have to find a 95% confidence interval for p.
From the question, x=302, n=525
So estimation point,
P=x/n
P=302/525
P=0.575
Now the z value of 95% confidence interval is 1.960 using the standard z table.
Margin of Error (E)=z×√{P(1−P)}/n
Now putting the value
E=1.960×√{0.575(1−0.575)}/525
E=1.960×√(0.575×0.425)/525
E=1.960×√0.244/525
E=1.960×√0.000465
E=1.960×0.0216
E=0.0423
At 95% confidence interval for p is
P−E ≤ p ≤ P+E
Now putting the value
0.575−0.0423≤ p ≤0.575+0.0423
0.5327≤ p ≤0.6173
Hence, a 95% confidence interval for p is (0.5327,0.6173).
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6% of a length is 390m what is the original length?
The original Length is, 6500 m.
What is Length?The industry norm for graphics is width by height (width x height). Hence, you should always write your measurements from your perspective, starting with the width.The value-length command defines the longest value, in bytes, that the parse action will allow in a document.Considering that 390 m equals 6% of a lengthLet the starting length be aThe original length is 6500 m because 6% of a = 390 a*6/100 = 390 a = 390*100/6 a = 6500.The earliest known units used by ancient peoples to measure length are the Egyptian cubit, the Indus Valley units of length mentioned above, and the Mesopotamian cubit, all of which were in use in the third millennium BC.To learn more about Length refer to:
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The amount of money earned, in dollars, varies directly as the number of hours worked. After 9 hours, 270 dollars were earned.
How long, in hours, does it take to earn 390 dollars? Do not include units in your answer.
Answer: 13 Hours
Step-by-step explanation:
1. 270/9 = 30 dollars per hour
2. 390/30 = 13 hours
I need help with 9-11. I really don’t understand this, please help me!!!
Step-by-step explanation:
9.
we get the extreme values of y (a function) by finding the zeroes of the first derivative (that gives us the x-positions) and then using these x values in the original function.
a quadratic function has only one extreme value (1 less than the degree of the polynomial). but 2 zeroes (exactly the degree of the polynomial) - don't mix these two things up.
as the leading coefficient is positive (1), we know that the parabola is opening upwards, and the extreme value will be the vertex and therefore the minimum.
y = (x + 4)² + 6
y = x² + 8x + 16 + 6 = x² + 8x + 22
y' = 2x + 8
2x + 8 = 0
2x = -8
x = -4
(-4 + 4)² + 6 = 0² + 6 = 6
the smallest possible value of y = 6 (at x = -4).
10.
the intercept form of a parabola equation is
y = a(x - p)(x - q)
p and q are the x-intercept values.
in our case we see p = -3, q = 3.
also, we see the vertex being (0, 9), which we need to get "a".
y = a(x - -3)(x - 3) = a(x + 3)(x - 3)
using the vertex coordinates to get a :
9 = a(0 + 3)(0 - 3) = -9a
a = 9/-9 = -1
so, the quadratic equation is
y = -(x + 3)(x - 3) = -(x² - 9) = -x² + 9
11.
I assume the thinking here is : the flight curve of every falling object is a parabola.
the vertex of this parabola is (0, 36), as x represents the time in seconds, and y represents the height in ft.
the vertex form of a parabola is
y = a(x - h)² + k
with (h, k) being the vertex.
y = a(x - 0)² + 36 = ax² + 36
a must be negative, as the fall parabola opens downwards.
for typical fall situations on Earth a = -g/2 ≈ -16 (g being the gravity constant of 32.17405... ft/s²).
so, we have
y = -16x² + 36
for what x is y = 0 ?
0 = -16x² + 36
16x² = 36
x² = 36/16 = 9/4
x = 3/2 = 1.5
the coin hits the water after 1.5 seconds.
Find the perimeter of a rectangle with length 8 inches and width 9 inches.
Answer:
P=34in
Step-by-step explanation:
just want to help <33333
Answer:34
Step-by-step explanation:34
There were 320 students enrolled at forest high school last year this year there are 352 students enrolled what is the percent change in enrollment from last year to this year
percent change in enrollment from last year students is
How do you determine a population decline in percentage terms?Work out the difference (reduction) between the two numbers you are comparing before calculating the percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number. The outcome expresses the change as a percentage, or the change in percentage.
Last year students =320
This year students =352
We need to find the percent increase in enrollment.
The increase in no of students = 320 -352
= 32
Percentage = (increase/initial no of students) × 100
% =32/352*100
9%
Hence, the percent increase is 9%.
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Simplify (8.1)(8.12)4.
(8.1)(8.12 multply by4=263.080
differentiate of 5-2x
The differentiated form of 5 - 2x is -2.
Differentiation
Basically, it is a method of finding the derivative of a function.
Given,
Here we have the expression 5 - 2x.
Now, we have to differentiate operation on it.
In this given expression,
By the Sum Rule, the derivative of 5 − 2x with respect to x is written as,
=> d/dx [5] + d/dx [−2x].
Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.
So, it can be written as,
=> 0 + d/dx [−2x]
Since −2 is constant with respect to x, the derivative of −2x with respect to x is −2 d/dx [x].
Therefore,
=> 0 − 2 d/dx[x]
Differentiate using the Power Rule which states that
d/dx [xⁿ] = nxⁿ⁻¹ where n=1.
So,
=> 0 − 2⋅1
Multiply −2 by 1.
=> 0 − 2
Therefore, the resulting value is -2.
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is a monotone sequence? if such an exists give the least value of . if it does not exist then enter na.
Yes, monotone is a sequence.
We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.
Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.
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Question at position 1
Roya paid $48.00 for 8 cartons of orange juice. What is the unit rate per carton of orange juice that Roya paid?
Step-by-step explanation:
The unit rate per carton is 2
5.7 gal/h = c/min? What is the answer
Answer:
5.7 gal / hour
5.7 gal / 60 min
5.7(16) c / 60 min
2. Which of the following is true for f?
f(x)=
3x + 1, if -9 < x < -2
-5, if-2 < x≤ 1
(x-6, if 1
A The domain is -9 < x < -2, -2
B The range is (-26, 1).
The function is decreasing over the interval (-2, 1).
D The rate of change over the interval (-9, 1] is 3.
The statement (B) "the range is (-26, 1)" is TRUE.
What is a domain in functions?The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, this set of values is what the function outputs.So, we have:
f(x) = 3x + 1, if -9 < x < -2-5, if-2 < x≤ 1x-6, if 1The statement is:
A) The domain of this function is 9 < x ≤ 1.B) The range is (-26, 1).C) The function is decreasing over the interval [-9,-2] and increasing over the interval [-2,1].D) The rate of change for the function over the interval is -2.Therefore, the statement (B) "the range is (-26, 1)" is TRUE.
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PLEASE HELP :)
Solve six and five eighths times negative one and two fifths.
negative 371 over 40
negative six and one fourth
one and one half
371 over 40
The solution of the fractions six and five eighths times negative one and two fifths is negative 371 over 40
How to solve fractions?
Fractions are numbers written as a quotient, in which a numerator is divided by a denominator
Given: six and five eighths times negative one and two fifths
6 5/8 x -1 2/5
First, convert each fraction to improper fractions:
6 5/8 = (6 x 8)+4/ 8 = 53/8
-1 2/5 = - ( (1 x 5)+2/ 5 ) = - 7/5
Thus,
6 5/8 x -1 2/5 = 53/8 x - 7/5
= - (53 x 7) /(8x5)
= - 371/40
Therefore, six and five eighths times negative one and two fifths is negative 371 over 40. The 1st option is the answer
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a+3(a−1)=3(2+1) this is hard and my brain hurts pls help
Answer:
∴ a = -4.61 or 2.61 (to 3sf)
Step-by-step explanation:
(a + 3)(a - 1) = 3(2 + 1)
a² + 3a - a - 3 = 3(3)
a² + 2a - 3 = 9
a² + 2a - 3 - 9 = 0
a² + 2a - 12 = 0
[(a + 1)² - 1²] - 12 = 0
(a + 1)² - 13 = 0
(a + 1)² = 13
∴ a = -4.61 or 2.61 (to 3sf)
Please help me with this math problem
Miss Baker has 3 3/4 cups of flour. She uses 2 1/4 cups of flour to make a loaf of bread. Then she uses all of the remaining flour to make 6 biscuits
How many cups of flour does Miss Baker use to make 1 biscuit?
A boat's speed in still water is 4 km/h. The boat cruises from A to B along a river flowing at an average speed of x km/h in the direction A to B. If the distance AB is 5 km and the boat takes 2 hours more on its return journey, determine x. Hence, find the total time taken for the whole journey.
x is 6.215 km and the total time taken for the whole journey is 3.61 hours.
Boat's speed in still water = u = 4 km/h
Speed of stream = v
Distance between A and B = 5 km
Upstream speed = u - v
= 4 - v
Time taken = [tex]T_{1}[/tex] = [tex]\frac{5}{4-v}[/tex]
Downstream speed = x = u + v
= 4 + v
Time taken = [tex]T_{2}[/tex] = [tex]\frac{5}{4+v}[/tex]
According to question,
[tex]T_{1}= T_{2}+2[/tex]
[tex]\frac{5}{4-v}=\frac{5}{4+v}+2[/tex]
[tex]\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}[/tex]
[tex]\frac{5}{4-v}=\frac{5+8+2v}{4+v}[/tex]
5(4+v) = (13+2v)(4-v)
20+2v = -2[tex]v^{2}[/tex]-5v+52
[tex]2v^{2}+10v-32 = 0[/tex]
[tex]v^{2}+5v-16 = 0[/tex]
v = 2.215 or -7.215
Speed can't be negative.
Therefore, v = 2.215
Upstream speed = 4 - 2.215
= 1.785 km/h
Downstream speed = 4 + 2.215
= 6.215 km/h
[tex]T_{2}[/tex] = 5/6.215
= 0.805 h
[tex]T_{1}[/tex] = 2 + 0.805
= 2.805 h
Total time = 2.805 + 0.805
= 3.61 h
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Please help me!!!!!!!
Answer:
Step-by-step explanation:
The range is [-4, ∞)
Using a graphing calculator (desmos) we can obtain a graph of the following function.
Explanation:
In the graph, we can see that there is a point a -4 and nothing lower, making it our minimum y-value. However, we cannot see an ending for the function; therefore, it is indeterminable and thus, infinity. As for notation. we use the solid bracket because we know the definite point, though because infinity is not definite we just use a parentheses to enclose it.
help ima have a panic attack again.
Answer:
39mm=6m52/39= 1 1/31 1/3 times 6 meters4/3 times 6/1 = 24/324/3=8The actual length of the living room is 8 meters
I meant 18 ………………………….
Answer:
6 cats
Step-by-step explanation:
first we can find 2/3 of 18
2/3*18
36/3
12 cats are brown so now since there are 18 cats in total we subtract that from 12 to see how many are not brown
18-12
6 cats are not brown
Hopes this helps please mark brainliest
Answer:
1.) For the first question, the answer is 12
2.) For the second answer, you are correct, the answer is 55
3.) The third answer is 3/2
Step-by-step explanation:
1.) 18x2/3 = 12
2.) 6x8+7 = 55
3.) 1/2 + 1/2 + 1/2 = 3/2 add the numerators (top part of fraction) ONLY and leave the denominators (bottom part of fraction) ALONE.
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Solve two-thirds + five-eighths = ___.
Answer:
1 7/24
Step-by-step explanation:
2/3+ 5/8= (2 × 8)(3 × 8)+ (5 × 3)(8 × 3) = 16/24+ 15/24= 16 + 15/24= 31/24 = 1 7/24
Answer:1 7/24
Step-by-step explanation:
What is the answer to this question?
7x - 3 > 24 can be described as an inequality.
What is an expression and inequality?An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.
Variables are number represented with a letter in an expression. Numbers includes 1, 2, 3 etc. Basic operators are addition, subtraction, multiplication and division.
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
For example x > y.
Therefore, we can denote 15x -10 as an expression and 7x - 3 > 24 is denoted as an inequality.
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