Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
Which expression is equivalent to 4x-5 ?
Select all that apply
A. 3(2x-5)-2(x-5)
B. 3x-2-(3-x)
C. 7x+1-3(x+2)
D. 4(2x-1)-2(2x-1)
Answer:
A
Step-by-step explanation:
[tex]x58 \frac{.225 {.39 < }^{?} }{?} [/tex]
[tex].555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} [/tex]
Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median
Answer:
20, 29, 30, 31, 32, 33, 34, 37
~ the median is: 31 +32 / 2 = 31.5
Step-by-step explanation:
PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.
Answer:
The fourth one is correct.
Step-by-step explanation:
To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Find the length of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=02+(−4)2‾‾‾‾‾‾‾‾‾‾√
=8‾√
Find the length of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−4)2+02‾‾‾‾‾‾‾‾‾‾√
=8‾√
Since LN=MO, by the definition of congruent line segments, LN=MO.
To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.
Find the slope of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
m1=−2−20−0=−40⇒m1 cannot be defined.
Find the slope of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
m2=0−0−2−2
=0−4
=0
The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.
To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).
Find the midpoint of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
P1(0+02,2+(−2)2)=(0, 0)
Find the midpoint of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
P2(2+(−2)2,0+02)=(0, 0)
Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.
Therefore, the diagonals are congruent perpendicular bisectors of each other.
Work out the answers
a)200
b)120
c)410
d)37.3
uh I kinda need help lolz
OK!!! I NEED HELP AGAIN AND ITS HONESTLY SUPER EASY :/ I DONT KNOW WHY IM NOT doing it BY MYSELF BUTTTTT---- GIVING BRAINLIEST, FIVE STARS AND THANKSSS!
Which measurement is most accurate to describe the amount a soup bowl could hold?
4 fl. oz.
16 fl. oz.
3 pints
1 quart
Answer: 16 fl oz
Step-by-step explanation:
Answer:
1 quart sorry if I'm wrong
Step-by-step explanation:
What is 13 4/5 + 5 1/3
Step-by-step explanation:
Add the whole numbers
13 +5 = 18
Add the fractions
4/5 +1/3
The LCD is 15
12/15 + 5/15
17/15
Simplify
17/15 = 1 2/15
1 is a while number so, add it to the other whole number
18 +1 = 19
Your final answer will be 19 2/15
Please gimme brainliest
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
PLEASE HELP WITH MARK BRAINIEST
A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping?
Answer:
3 feet per second isnt this really easy tho-
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
x =
A triangle with angle measures thirty-nine degrees and one hundred two degrees. The third angle has an unknown measure, x degrees.
Answer:
x=39
Step-by-step explanation:
The sum of the measure of all of the interior angles of a triangle is equal to 180 degrees. If a triangle has angle measures known to be 102 and 39 degrees, in order to find the last angle measure an equation can be used such as [tex]x=180-102-39[/tex]. When solving this equation the third angle measure is x, which is revealed to be 39 degrees.
Describe the slope of the line
Find the slope.
m =
Answer:
m = -3/5
Step-by-step explanation:
Since the line is going downwards towards the right, it is a negative slope.
We can use the points to solve for the slope.
m = -2 - 1 / 2 - (-3)
m = -2 - 1 / 2 + 3
m = -3/5
Therefore, the slope is -3/5.
1 Which line is perpendicular to the line y = -31 - 2and passes through the Point 4 Je=3 = 2x + 2
Answer:
y=3x+1
Step-by-step explanation:
solve each equation. 18.) 9 = -y
Answer:
y = -9
Step-by-step explanation:
Rewrite the following polynomial in standard form.
1 + 10x3 + x2
Answer:
31 + x
Step-by-step explanation:
1) 1 + 10 × 3 + x
2) 1 + 30 + x
3) 31 + x
Answer:
X2+10x3+1....…...…............
Two sides of a right triangle are 5 units and 8 units respectively.
Those sides could be the legs, or they could be one leg and the
hypotenuse. What are the possible lengths of the third side?
Answer: See explanation
Step-by-step explanation:
The possible lengths of the third side would be:
✓hypotenuse = (✓5² + 8²)
= ✓(25 + 64)
= ✓89
= 9.4
OR
8² - 5² = side²
side² = 64 - 25
side² = 39
Side = ✓39
Side = 6.24
The volume of a cube-shaped box is 27^5 cubic millimeters. What's the length of one side of the cube-shaped box?
A train travels at a speed of 35 miles per hour. How far will the train travel in 5 hours?
This is Math
Answer:
175 miles
Step-by-step explanation:
35 times 5 = 175
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
112°
Step-by-step explanation:
according to the question
34°+34°+x=180°
68°+x=180°
x=112°
find the value of x
x=
Answer:
x = 4
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
19. Find the equation of the line that contains the given points. Write the equation in slope-
intercept form, if possible.
(-5,-5) and (1,7)
Please solve step by step
Answer:
y = 2x +5
Step-by-step explanation:
1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)
2. solve --> 7-(-12) / 1-(-5) = 2
3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b
4. solve --> 7 = 2(1) + b --> b = 5
5. put the equation together --> y = 2x + 5
The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10
Answer:
Here Is Your Answer Less Than 0 But Greater Than 10
Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.
Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Which statement is true for the data sets?
A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.
Answer:
B. The mean study time of students in Class B is less than students in Class AStep-by-step explanation:
Class A:
{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Number = 20Sum = 96Mean = 96/20 = 4.8Range = 8 - 2 = 6Class B:
{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Number = 20Sum = 80Mean = 80/20 = 4Range = 7 - 2 = 5Correct option is B
can someone help me!
Solve for x.
Answer:
x=7
Step-by-step explanation:
Using parallel lines, cut off by a transversal, we can do this (see image):
Using the image, we can say that 94 = c = a= f, and 13x-5 = b = d =g
Since angles on a straight line add to 180, we can say that
13x-5+94 = 180
13x + 89 = 180
subtract 89 from both sides
13x = 91
x = 7
In function for every input there is exactly one output
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
What’s 2 plus 2 please let me know I have no idea please tell me please I beg
Answer:
22
Step-by-step explanation:
Answer: 2+2=4
Step-by-step explanation: Thanks for the points kiddo :)
Anyways if you had 2 dogs and got 2 more you would have 4 dogs in all
Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.
Use coordinate geometry to prove that MARY is a parallelogram.
9514 1404 393
Answer:
Y = (-1, 5)
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...
(M +R)/2 = (A +Y)/2
Y = M + R - A . . . . . . multiply by 2 and subtract A
Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates
Y = (-1, 5)
Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.
_____
Your teacher may expect the "proof" to be either or both of ...
showing opposite sides have the same slopeshowing opposite line segments have the same lengthGiven the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.
Slope and Length of MA
slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3
length = √(2²+6²) = √40
Slope and Length of AR
slope = (7 -3)/(5 -3) = 4/2 = 2
length = √(4² +2²) = √20
Slope and Length of RY
slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA
length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA
Slope and Length of YM
slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR
length = √((-4)² +(-2)²) = √20 . . . . . . same as opposite side AR
Opposite sides have the same slopes, so the figure is a parallelogram.
Opposite sides have the same lengths, so the figure is a parallelogram.
hiiiiiiiiiiiiiiiiiiiiiiii pls hellllppp :/
Answer:
$15 an hour
Step-by-step explanation:
If we want to find the pay per hour, we divide the pay by the hour
[tex]\frac{22.5}{1.5} = 15\\[/tex]
63.75/4.25 =15
108.75/7.25 = 15
191.25/12.75= 15
Our answer is $15 an hour
Our answer is $15 an hour, or B.
d
(Use the graph below.)
N
M
12
P
Q
Which letter represents (-2, 3)?
ОА. м
B. N
Ос. о
ODP
ΟΕ. Ο O
Answer: N
Step-by-step explanation:
1 hay bale = 16" X 16" X 44"
The trailer is 28' long, 8' wide, and the hay can be stacked 8' high.
How many bales can the trailer transport?
Answer:
25 Haybales
Step-by-step explanation:
On your trailer you should be able to fit 25 bales in a tier (spelling). 6 high would give you 150. Then you should be able to put another 10-20 on the neck of the trailer. All depends on how high you want to stack.