The number remaining in the village is 30.
How many people remain?We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.
Then we would have that;
N =Noe^-rt
N = Number at time t
No = Initial number
r = spread rate
t = time taken
Then;
N = 200e^-0.95 * 2
N = 30
Thus, they would have only 30 people left.
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Find y.
7.54
6.76
18.55
29.83
The length of y in the triangle is 18.55 units.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.
Therefore,
a / sin A = b / sin B = c / sin C
Applying the sine law,
y / sin 106 = 15 / sin 51
cross multiply
y sin 51° = 15 sin 106°
divide both sides by sin 51°
y sin 51° / sin 51° = 15 sin 106° / sin 51°
y = 15 sin 106° / sin 51°
Therefore,
y = 15 × 0.96126169593 / 0.77714596145
y = 14.4189254391 / 0.77714596145
y = 18.5536589719
Hence,
y = 18.55 units
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Answer:
167.27.653000.9387400133.33323003196.2616833.333
Help pls help me with this question please
The answer to this is A. I hope this helps
Through: (2/2), slope = -1/2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
When f(x) is divided by x-c, the remainder of
synthetic division is 0. Which of the following
statements are true?
A. (x-c) is a factor of f(x)
B. (0, c) is the y-intercept of the graph of f(x)
C. (c, 0) is the x-intercept of the graph of f(x)
D. Both A and B
E. Both A and C
Answer:
(x-c) is a factor of f(x)
Help me please pretty please
Answer:
Unemployment rate = 5.3%
Step-by-step explanation:
8000/150000 = 0.053
Convert to percentage:
0.053*100 = 5.3%
A. Factor the polynomial expression –16(x2 – 3x – 4).
Answer: Hmmmmmm
Explanation
What is an equation of the line that passes through the points ((1,8) and (−1,−2)?
Solution:
Let (1,8)=(x1,y1)
(-1,-2)=(x2,y2)
D=?
Now,
D=
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]
or, D=
[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]
[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]
[tex] \sqrt{4 + 100 } [/tex]
[tex] \sqrt{104} [/tex]
2[tex] \sqrt{26} [/tex]
plz I need help don't know what to do
Answer:
62.5
Step-by-step explanation:
You would take 62.5% and 45, using long multiplication to get .625
You would then multiply .625 and 100, getting 62.5
HELPPPPPPPPPP MEEE PLEASE hehe lol
Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price. a bunk bed with a cash price of $1,998, at $143 per month for 15 months
shue isvsye jrue si buabs ikwgeh oshe
The following data are from a simple random sample (The population is infinite): Data were collected on the amount spent by 130 customers for lunch at a major Houston restaurant. Based upon past studies the population variance is known with 256. Sample Mean: $21.5 Find the standard error of the mean. If needed round your intermediate calculations to no more than 2 decimal places. Round your final answer to 2 decimal places.
Answer:
1.40
Step-by-step explanation:
Given that
the number of customers are 130
The variance is 256
And, the sample mean is $21.50
We need to find out the standard error
So , the standard deviation is
= sqrt(variance)
= sqrt(256)
= 16
As we know that
standard error of mean = standard deviation ÷ sqrt(n)
= 16 ÷ sqrt(130)
= 1.40
a person saves rs.100 in beginning and then every month he saves rs.50 more than the previous month.After how many months he saves rs.257500
Answer:
5148 months
Step-by-step explanation:
the equation that can be used to represent this question is :
100 + 50x = total amount that would be saved in x month
x = number of months
100 + 50x = 257,500
collect like terms
50x = 257,500 - 100
50x = 257,400
x = 257,400 / 50
x = 5148 months
To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $45.95, a hat costs $23.95, and a pair of cleats costs $28.95. What is the total cost for a team of 13 players?
Answer:
Total cost for team: $1285.05
Step-by-step explanation:
45.95 + 23.95 + 28.95 = 98.85
98.85 * 13 = 1285.05
A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10/3 what would the area of the new triangle be?
Answer:
The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2
Step-by-step explanation:
To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.
The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.
The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.
Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.
2x(6x^2 + 3x - 1)
Simplify
Please help! I will mark your brainiest, thank you!
Answer:
6
Step-by-step explanation:
The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:
180 = 5x + x + 54 + 90
90 comes from the square indicating a right angle.
Using that equation, solve for x.
180 = 5x + x + 54 + 90
First, combine like terms.
180 = 6x + 144
Then subtract 144 from both sides
36 = 6x
Divide both sides by 6 to isolate x
6 = x
So x = 6°
Ronald is organizing his CD collection. He has 76 CDs, 28 of which are rock. If Ronald randomly selected one of his Cd what is the probability that it will be a rock CD? (In the simplest fraction)
Answer:
there is a 36% percent chance
Step-by-step explanation:
28/76 = 36/100 to get the probability.
Answer: 7/19
Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.
find bce PLEASE AND THANKS
The unknown angle of the triangle is as follows:
∠BCE = 65 degrees
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, the angle ∠BCE can be found as follows:
∠BAC = 70 degrees
∠ABC = 60 degrees
∠ACB = 180 - 70 - 60
∠ACB = 180 - 130
∠ACB = 50 degrees
Hence, using exterior angle theorem,
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
∠BCD = 60 + 70 = 130 degrees
Hence,
∠BCE = 130 / 2 = 65 degrees
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Use the Pythagorean Theorem: x=
Answer:
[tex]\sqrt{253}[/tex]
Step-by-step explanation:
The question asks to use the Pythagorean Theorem...
which is [tex]a^{2} + b^2 = c^2[/tex]
1. Note that c is always the hypotnuse (the longest side of the triangle)
c = 172. Note that a and b represent both legs of the triangle
a = 63. Find b using pythagorean theorem (x = b)
[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]
Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]
8 lb =___oz Complete the conversion.
Answer: 128 ounces
Step-by-step explanation:
One ounce has a mass of 16 and 16 x 8 is 128
3. It is 2:30 p.m. Talia has to be at cheerleader practice in 45 minutes. What
time will Talia be at cheerleading practice?
Answer:
3:15 p.m.
Step-by-step explanation:
45 minutes past 2:30 p.m. is 3:15 p.m.
2:30 p.m. to 3:00 p.m. is 30 minutes
3:00 p.m. to 3:15 p.m. is 15 minutes
30+15 = 45 minutes
Answer:
She will be at cheerleading practice at 3:15 pm?
Step-by-step explanation:
Fake college smh
Please help As Soon As Possible
Answer:
9.0 ft
Step-by-step explanation:
Let the distance from the bottom of the board to the edge of the wall be represented as "x"
Angle measure = θ = 53.13°
Hypotenuse = 15 ft
Adjacent side = x ft
The trigonometric ratio we would apply would be CAH:
Thus,
Cosine θ = Adjacent/Hypotenuse
Plug in the values
Cos 53.13° = x/15
Multiply both sides by 15
15 * Cos 53.13 = x
9.00002143 = x
x ≈ 9.0 ft (nearest tenth)
Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft
Find the volume of the pyramid. 2.4 m 1.4 m 1.8 m
Answer:
It should be 2.016 m cubed
Step-by-step explanation:
the formula is V= 1/3 ( l × w × h ) if you want to check
24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X
On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.
from data provided by the graphs,
we have a straight line,
which means that the coordinates are equal.
so the equation will be x = y
x-y = 0
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A sports ball has a diameter of 13 cm. Find the volume of the ball.
Answer:
V≈1150.35cm³
Step-by-step explanation:
Using the formulas
V=4 /3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³
Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)
LJ and LI are the figure's two congruent portions. Congruency means that the segments' sizes and shapes will be comparable.
What is congruency?Two triangles are said to be congruent to one another according to the Side-Angle-Side Congruence Theorem (SAS) if the included angle and corresponding two sides of one triangle match those of the other. Two sides that are being considered are determined to have an included angle. Therefore, using the SAS Congruence Theorem to prove that two triangles are congruent based on the fact that they have two pairs of corresponding sides and one pair of corresponding angles is insufficient.
given
The two segments LI and LJ that are marked in the illustration are congruent to one another.
Congruency means that the segments will have the same size and shape.
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What two rays form angle 1?
Answer:
box 2 and 3
Step-by-step explanation:
the rays are the only two that form the angle of 1
BONUS 1. We have 5 Blue balls. + Red balls, and 3 Green balls. Find the probability that the ball that we pick is either a Red ball or Green ball
Answer:
8/13
Step-by-step explanation:
5 + 5 + 3 = 13 total
5 red balls + 3 green balls = 8
The circumference of a circle is 7.536 millimeters. What is the circle's radius?