Answer:
A
Step-by-step explanation:
The missing line is slopes of both lines are equivalent to (z - v) / (x - w)
What is slope?The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Given is proof of line PQ is parallel to the line P'Q',
So,
Slope = change in y / change in x
Slope of PQ = (z - v) / (x - w)
Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))
Slope of P'Q' = (z - v) / (x - w)
The slopes of both lines are equivalent to (z - v) / (x - w)
Hence, the missing line is slopes of both lines are equivalent to (z - v) / (x - w)
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Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25
Answer:
(3x-5) (3x-5)
Step-by-step explanation:
<33
I hate text limits!!
Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]
(В
[(5.12). 3)
C
[(3.5). 12]
2) Suppose a certain type of bacteria reproduces continuously at a rate of 25% per minute. If the initial
amount of bacteria is 27.
a) Write an equation for the growth of bacteria over time.
b) How money bacteria will there be in 5 minutes? 1 hour?
c) How long will it take for the bacteria to reach a population of 10,000?
A) The equation for the growth of bacteria over time is : n(t) = 27( [tex]e^{25t}[/tex])
B) The number of bacteria the would be in 5 minutes 1 hour is :
n(5mins) = 215.055 , n(1) = 1944132282109.422
C) The time it will take for the bacteria to reach a population of 10,000 is : t = 0.237 hours
Determine the Equation, number of bacteria and time takenApplying the mathematical growth and decay modelling
a. n(t) = [tex]n_{0}[/tex] [tex]e^{rt}[/tex]
[tex]n_{0}[/tex] = initial amount of bacterial
[tex]e^{rt}[/tex] = exponent
r = rate
t = time
n(t) = 27( [tex]e^{25t}[/tex])
b. for 5 minutes
converting 5 minutes to hours; we divide by 60 minutes
[tex]\frac{5}{60}[/tex] = 0.083 hour
n(5 mins) = 27( [tex]e^{25t}[/tex])
n(5 mins) = 27( [tex]e^{25 * 0.083}[/tex])
n(5 mins) = 27( [tex]e^{2.075}[/tex])
n(5mins) = 27( 7.965)
n(5mins) = 215.055
For 1 hour we have
n(1) = 27( [tex]e^{25t}[/tex])
n(1) = 27( [tex]e^{25 * 1}[/tex])
n(1) = 27( [tex]e^{25}[/tex])
n(1) = 27 * (72004899337.386)
n(1) = 1944132282109.422
c. How long will it take for the bacteria to reach a population of 10,000?
10000 = 27( [tex]e^{25t}[/tex])
[tex]\frac{10000}{27}[/tex] = ( [tex]e^{25t}[/tex])
370.370 = ( [tex]e^{25t}[/tex])
㏑ (370.370 ) = ㏑ ( [tex]e^{25t}[/tex])
5.915 = 25t
[tex]\frac{5.915}{25}[/tex] = t
t = 0.237 hours
In conclusion this type of question can be done by mathematical modelling
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Options to question
257
254
256
255
Answer:
256
Step-by-step explanation:
You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
530 m²
Step-by-step explanation:
First of all we need to label the missing sides ,please check the figure I provided for that :
x = 37 - (10+ 15) = 37 - 25 = 12
z = 10
y = 2 × 10 = 20
The shade does area = area of the whole rectangle − the white area
= 37 × 20 − [ (15×20)÷2 + (10×12)÷2 ]
= 740 − [ 150 + 60 ]
= 740. − 210
= 530
which set of data is influenced by an extreme x and y values compared to other data points
The set of data is influenced by an extreme x and y values compared to other data points is an outlier.
What is an outlier?It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.
Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.
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Answer:a on usa test prep.like it
Step-by-step explanation:
Dexter has four different coins in his pocket he randomly selects a coin from his pocket replaces it and select and a coin what is the probability that both coins are dimes?
Answer: 1/4
Step-by-step explanation:
ez
The label on a can starts 2.5 in below the lid. What
is the area of the label?
From the computation below, the area of the label is 707 Inches.
This calculation is carried out using the theorem of the area of curved shapes.
What is the Curved Surface Area of a Cylinder?The formula for the Curved Surface Area of a Cylinder is given as:
2 [tex]\pi[/tex] rh
= 2 [tex]\pi[/tex] x 7.5 x 15.
This assumes that the label also ends at an equal distance from the top of the lid. Hence 15in = 20 - (2.5 x2);
Recall that [tex]\pi[/tex] = 22/7, hence
= 2 x (22/7) x 7.5 x 15
= 707.142857143
Approximately, this equals; 707 Inches.
Hence, the area of the label = 707 inches.
Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.
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SOMEONE PLEASE HELP!!! HURRY
Answer:
Slope of the line DV = -1
Step-by-step explanation:
Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]
Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the appropriate values,
[tex]m = \frac{-3-1}{-1-(-5)} = \frac{-4}{4} = -1[/tex]
slope equals -1
SoMeone do this pleaseeeee
Answer:
0.33=33%
0.07=70%
5.43=543%
1.5%=1/5
3%=3
38%=3/8
Step-by-step explanation:
hope this helps if not please let me know
Write the equation of the parabola in standard form.
Calculation Tip: Multiply out the squared term and distribute.
y=3(x-1)^2+2
Divide the following. Put
your answer in scientific
notation.
(3.4 X 10^-1) / (4)
Answer:
8.5 × 10-2
Step-by-step explanation:
I believe this is it
Which of the following expressions is equal
to 4/5 x 7?
Answer:
15.75÷2.25
Step-by-step explanation:
I think it's that I'm not completely sure so yeah
A factory worker fills each container with 25 boxes of raisins. Each box has 1.33 ounces of raisins. If you buy 12 containers, how many ounces of raisins will you buy?
PLS HELP
AND EXPLAIN
NO LINKS
Answer:
5/8 (Decimal 0.625)
Step-by-step explanation:
Equation with variables filled is: 1/2 + (3/4 - 5/8)
3/4 - 5/8 is 1/8
Equation is now 1/2 + 1/8
1/2 is also 4/8
4/8 + 1/8 = 5/8
The answer is 5/8.
Brainliest please?
3. Find the center of the circle that can be circumscribed about EFG with E(6,4), F(6,2), and G(10,2).
A. (6, 4)
B. (8,3)
C. (3,8)
D. (4,2)
Step-by-step explanation:
The general form of the equation of a circle is
(x-a)^2 + (y-b)^2 = r^2 where the center is (a,b)
Plugging in the given values:-
(6 - a)^2 + (4-b)^2 = r^2 and
(6-a)^2 + (2-b)^2 = r^2
Subtracting:-
(4-b)^2 - (2 - b)^2 = 0
16 - 8b + b^ - (4 -4b + b^2) = 0
12 - 4b = 0
-4b = -12
b = 3
Similarly if we take the 2 points (6,2) and G(10,2) and make two equations we can find the value of a
(6-a)^2 + (2-b)^2 = r^2
(10.a)^2 + (2-b)^2 = r^2 subtract::-
(6-a)^2 -(10-a(^2 = 0
this will give a = 8
so the center of the circle is the poit (8,3)
help me please 15 points
I'(-4, -3) J'(-4, -2)
K'(-2, -2) L'(0, -4)
Step-by-step explanation:[tex]I(0,-3)\rightarrow I'(0-4,-3)\rightarrow I'(-4,-3)\\ J(0,-2)\rightarrow J'(0-4,-2)\rightarrow J'(-4,-2)\\ k(2,-2)\rightarrow k'(2-4,-2)\rightarrow k'(-2,-2)\\ L(4,-4)\rightarrow L'(4-4,-4)\rightarrow L'(0,-4)\\ \{Conversion\ principle\}[/tex]
I hope this helps you
:)
Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a
concert. In which method does one of Julie's friends have more than a fair chance of being chosen?
Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.
There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.
Describing a method which can be used to provide more than a fair chance of selection is as follows:
Julie has 3 friends, so make the total number of slips say n
where n is not a multiple of 3.
If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.
Consider n=5
She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.
Thus, this method may result in more chance of selection of one over other.
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Lucy and her friends painted a giant picture.
They used 4 litres of paint.
All the paint came in 500 ml bottles.
The bottles cost £2.67 each.
Paint
500 ml
£2.67
What was the total cost of the 4 litres of paint they used?
Answer:
£21.36
Step-by-step explanation:
in one litre of any substance there is 1000ml and 500mlx2= 1litre
so it then requires 8 bottles
2.67 x 8 = 21.36
so there is the answer I hope it helped!
Which describes the system of equations below?
3x + 2y = –2
6x + 4y = 15
Answer: No solution
Step-by-step explanation:
These two equations have parallel slopes and therefore no solution.
-> See attached for graph. Since there is no point of intersection, there is no solution.
The value of x is -1/4. Order these expressions from least to greatest:
x, -1 divided by x, 1-x, x-1
Step-by-step explanation:
There two solutions. X can be zero cause anything divided by zero is undefined.
When dealing with positive numbers:
[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]
[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]
When dealing with negative numbers:
[tex]least \: to \: greatest \: for \: \: x < 0[/tex]
[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]
PLEASE HELP MEEEEEEE
Answer:
so as you see im in middle school but i can solvee it
Step-by-step explanation:
even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam
Please help me with this!!!
(20 points + brainliest)
Answer:
the product
= (x+4)(x+5)
= x^2 + 5x + 4x +20
= x^2 + 9x + 20
hope this helps!!!
Answer:
x² + 9x + 20Step-by-step explanation:
Applying Distributive Property :
(x + 4)(x + 5)x² + 4x + 5x + 20Combining Like-Terms :
x² + (4 + 5)x + 20x² + 9x + 20Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have
Answer:
30 quarts
Step-by-step explanation:
4 quarts = a gallon
4 quarts +2 quarts = 6 quarts
5 containers*6 quarts(each)
5*6=30
IMAGE BELOW I WILL GIVE BRAINLIEST
Answer:
for L 2, 2 and for LM it is -8,8
Step-by-step explanation:
easy
how do u find law of conservation
Answer:
the total mass of the products is equal to the total mass of the reactants
Step-by-step explanation:
The sum of the relative formula masses of the reactants is equal to the sum of the relative formula masses of the products.
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The volume of the prism given its dimensions is equal to 160 cubic units.
What is the volume of the prism?
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
One of the prisms have the dimensions: 4 x 4 x 5.Volume = 80
The other prism has the dimensions: 8 x 2 x 5.Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
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How do you write 1.8 × 10–3 in standard form?
Answer:
0.0018
Step-by-step explanation:
Geometry helppppp plssss
Quadrilateral ABCD is inscribed in this circle
B
What is the measure of /A?
Enter your answer in the box
Answer:
Here,
x+2+3x+6 = 180 [ Sum of opposite angle of cyclic quadrilateral is Supplementary ]4x + 8 = 180 4x = 180 - 8x = 172/4x = 43Now,
Angle A = 3 * 43 + 6= 129 + 6= 135
What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction
The Quotients of the given expression (2m + 4) / 8 divided by (m + 2)/6 would be 3/2.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
Dividend ÷ Divisor = Quotients
(2m + 4) / 8 divided by (m + 2)/6
= (2m + 4) / 8 ÷ (m + 2)/6
= (2m + 4)/8 x (6 / (m + 2) )
= (m + 2)/4 x 6/(m + 2)
= 6/4
= 3/2
Thus, the quotients will be 3/2.
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