Answer:
m ZC = 71 degrees. Option C.
Step-by-step explanation:
Triangles always measure a total of 180 degrees.
47 + 62 + c = 180
109 + c = 180
c = 71
Answer:
71°
Step-by-step explanation:
The total angles in a triangle should equal 180°
a + b + c = 180
47 + 62 + c = 180
109 + c = 180
180 - 109 = 71
c = 71°
Hope this helped!
Which is the better investment over ten years:
$20 000 at 12% compound interest or $30 000 at 8% compound interest?
Answer:
$30000at 8%compound interest
Guided Practice
The number of bacteria in a lab sample triples every hour. If you start with 2 bacteria in the sample, write an equation that represents the number of bacteria, y, in the sample after x hours.
A.
y=3 · 2xy equals 3 times 2 superscript x baseline
B.
y=2 · 3xy equals 2 times 3 superscript x baseline
C.
y=2 · x3y equals 2 times x cubed
Answer:
B.
y=2 · 3xy equals 2 times 3 superscript x baseline
Step-by-step explanation:
The bacteria culture starts with 500 bacteria and doubles size every half hour.= 2 hours
32,000
Thus, after three hours, the population of bacteria is 32,000.= 3 hours
A bacteria culture starts with 500 bacteria and doubles in size every half hour.1
(a) How many bacteria are there after 3 hours?
We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:
t 0 0.5 1.0 1.5 2.0 2.5 3.0
bacteria 500 1000 2000 4000 8000 16000 32000
Thus, after three hours, the population of bacteria is 32,000.
(b) How many bacteria are there after t hours?
In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8
times.) The initial value is 500, so the population P at time t is given by
P(t) = 500 · 2
2t
This is an acceptable response, but in calculus and all advanced mathematics and science, we will
almost always want to use the natural exponential base, e. Let’s redo the problem using the natural
exponential growth function
P(t) = P0e
rt
We are given that the initial population is 500 bacteria. So P0 = 500 and we have
P(t) = 500ert
We know that after 1 hour, there are 2000 bacteria. (We could’ve used any other pair from our table
that we wish.) Substituting into our function, we get
P(t) = 500ert
2000 = 500er·1
2000 = 500er
1
500
· 2000 =
1
500
· 500er
4 = er
and now we use the natural logarithm to solve for r
ln (4) = ln (er
)
ln (4) = r · ln (e)
ln (4) = r
1.3863 ≈ r
Thus the function P(t) = 500e1.3863t gives the number of bacteria after t hours.
(c) How many bacteria are there after 40 minutes?
The input t to our function is given in hours, so we must convert 40 minutes into hours. So (40 min)
1 hr
60 min
=
2
3
hr.
P(t) = 500e1.3863t
P
2
3
= 500e1.3863·(2/3)
P
2
3
≈ 1259.9258
Thus, after 40 minutes (2/3 of an hour), there are about 1260 bacteria.
(d) Graph the population function and estimate the time for the population to reach 100,000.
50000
100000
1 2 3 4 5
b
(3.8219, 100,000)
t
P
Using the calc:intersect on the TI-84, we get the point (3.8219, 100000), thus the population will
reach 100,000 in about 3.82 yrs
solve this i am not able to solve
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
[tex]sin(A)=\frac{3}{5}[/tex] and [tex]cos(A)=\frac{4}{5}[/tex] so we fill in the formula accordingly and then simplify:
[tex]sin(2A)=2(\frac{3}{5})(\frac{4}{5})=\frac{24}{25}[/tex]
cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
[tex]cos(2A)=cos^2(A)-sin^2(A)[/tex] and filling in the formula:
[tex]cos(2A)=(\frac{4}{5})^2-(\frac{3}{5})^2\\cos(2A)=\frac{16}{25}-\frac{9}{25}\\cos(2A)=\frac{7}{25}[/tex]
I'm not sure why you have 7/2 there...
if x = 6, y = 8, and z = 3.
What is 5 x 0.1 + 4 x 0.01 + 8 x 0.001 written in standard form?
Answer:
0.548
Step-by-step explanation:
5 x 0.1 = 0.5
4 x 0.01 = 0.04
8 x0.0001 = 0.008
Now add them all together to get 0.548 in standard form.
I hope this helps! :)
Answer:
5 × 0.1 is 0.5
4 × 0.001 is 0.04
8 × 0.0001 is 0.008
so add all number is
0.548
Can the distributive property be used to rewrite
8 x (10 + 9)?
Answer:
?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
8 * (10 + 9) =
(8 * 10) + (8 * 9)
How many solutions does the following equation have? 7 x - 5(2x - 4) - 8 = 15 - (3 - x) - 4x
a. no solution
b. exactly one solution
c. at least two solutions
d. infinitely many solutions
Answer:
no soultion
Step-by-step explanation:
did on paper
Answer:
exactly one solution
Step-by-step explanation:
got it right on khan lol
Help me plessss!!
Brainliest to the best answer
If you can with procedimento that i understand how to do that
Answer:
[tex] \frac{r}{2} + ( \frac{7}{8} - s) \\ r = 1 \\ s = \frac{1}{2} \\ then \\ \frac{1}{2} + ( \frac{7}{8} - \frac{1}{2} ) \\ = \frac{1}{2} + \frac{3}{8} \\ = \frac{7}{8} \\ thank \: you[/tex]
Find the area of this circle please…Use 3 for pi….Thanks
Answer:
the area of a circle is equal to pi r square that is 3.14×3×3 = 28.26.
A 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece.
If x represents the length of the first piece, find the lengths of all three pieces
What is the length of the first piece?
NEED HELP ILL MARK BRAINLIEST
PLEASE help!10 points
Answer:
[ 0 ]
Step-by-step explanation:
The order of the matrix [ 3 1 1 ] is 1 by 3 and the order of the other matrix is 3 by 1 so this means that the order of the answer matrix is 1 by 1. So we multiply matrices row by columns.
[ 3 1 1 ] × | 2|
| -6|
| 0|
[ 3 × 2 + 1 × -6 + 1 × 0 ]
[ 6 - 6 + 0 ]
[ 0 ]
What is the distance
what
between the points
(28,-12) and (28, 6)?
Answer:
[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \sqrt{ {28 - 28)}^{2} + {(6 - - 12)}^{2} } \\ \sqrt{ {0}^{2} + {18}^{2} } \\ = \sqrt{ {18}^{2} } = 18unit \\ thank \: you[/tex]
Simplify the algebraic expression: 16 - 4(3x - 5)
Answer:
23x
Step-by-step explanation:
16 - 4(3x-5)
12(3x-5)
36x-60
24 - 8X = -16
Help pls
Answer:
5
Step-by-step explanation:
24-8X=-16
24+16=8X
40=8X
X=5
Answer:
x=5
Step-by-step explanation:
24 - 8x = -16
=> 24 + 16 = 8x
=> 8x = 24 + 16
=> 8x = 40
=> x = 40/8
=> x = 5
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 197 inches? Enter the answer in the box.
meters
Answer:
5 meters
Step-by-step explanation:
If in 1 inch have 2.54 centimeters, in 197 inches will have:
197×2.54 = 500.38 centimeters
If 100 centimeters are 1 meter, 500 centimeters will have 5 meters, so 197 inches have 5 meters
The piecewise graph below is the ceiling function? True or false ?
Answer: The answer is true im taking that same test
It is TRUE because the piecewise graph shown is the ceiling function.
The expression 36 divided 6 • 2+1 is equal to
A.13
B.4
C.2
D.18
15 points for the question
I will try to give branliest
The data set shows the number of players on each softball team in a tournament:
9
12
8
7
7
21
11
9
8
7
10
7
10
11
Which of the following statements is true based on the data set? (4 points)
There is one outlier that indicates an unusually large number of players on that team.
There are two outliers that indicate an unusually large number of players on those two teams.
There is one outlier that indicates an unusually small number of players on that team.
There are two outliers that indicate an unusually small number of players on those two teams.
Answer:
it is B, there is one big outlier, it is 21
Step-by-step explanation:
Which expression is equivalent to –9+(-9)
O 9+ (-9)
-9 - 9
Submit Answer
O-9- (-9)
O9- (-9)
Isa finished 30% of his homework in 27 minutes. How many more minutes will it take lsa to complete his homework, assuming that he works at the
same pace?
A А.
63 minutes
B
67 minutes
C
70 minutes
O
D
90 minutes
Answer:
The answer is A. 63 minutes.
Step-by-step explanation:
I added 27 minutes with each of the answer then multiplied the two added numbers by 30%
27 + 63 = 90 x 30% = 27 minutes (correct answer)
27 + 67 = 94 x 30% = 28.2 minutes (wrong answer)
27 + 70 = 97 x 30% = 29.1 minutes (wrong answer)
27 + 90 = 117 x 30% = 35.1 minutes (wrong answer)
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut
out of it. Use 3.14 as an approximation for .
10 ft
O 54 square feet
O 79 square feet
o 22 square feet
o 214 square feet
What 2 divided by 188
Answer:
1/94
Step-by-step explanation:
2/188 = 1/94
Answer:
0.01063829787.
Step-by-step explanation:
Caculator.
help smart peeeps help
Answer:
(1, -1)
Step-by-step explanation:
6 units right changes the x value by +6.
2 units down changes the y value by -2.
-5 + 6 = 1
1 - 2 = -1
Answer:
(1,-1)
Step-by-step explanation:
when x is changed by 6 units to the right, you add 6
-5 + 6 = 1
when y is changed by 2 units down, you subtract 2
1 - 2 = -1
coordinates = (1, -1)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Is KV=21, what does OZ=
Please help
Answer:
OZ = 23
Step-by-step explanation:
The same seven pieces shown on the top were used to make two different figures as shown (the prices do not overlap anywhere) which if the following will definitely be same for these two figures
OXYZ is a pyramid whose base is a right-angled triangle where XY = 7 m and YZ = 4 m. Given that the height of the pyramid is 5 m, find its volume. please answer
Given:
In the triangular base of the pyramid,
Base = 4m
Height = 7m
Area of base = 1/2 x Base x Height
=> 1/2 x 4 x 7 = 14 m^2
Now, Volume of Triangular Pyramid = 1/3 x Area of Base x Height
= 1/3 x 14 x 5
= 1/3 x 70
= 23.33 m^2 or 23 1/3 m^2
find the distance travelled in metres at a speed of 55km/h for 2 hours
x/3 + 3 = 4.Find the value of x
Answer:
3
Step-by-step explanation:
x/3 + 3 = 4
x/3 = 4 - 3
x/3 = 1
x = 3
Answer: x = 3
Step-by-step explanation:
Given
x/3 + 3 = 4
Subtract 3 on both sides
x/3 + 3 - 3 = 4 - 3
x/3 = 1
Multiply 3 on both sides
x/3 × 3 = 1 × 3
[tex]\boxed{x=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
whats number 26.
..............................
Answer:
y = 1/3mx + b
Step-by-step explanation:
x = 3(y - b)/m
~Multiply m to both sides
mx = -3b + 3y
~Add 3b to both sides
mx + 3b = 3y
~Divide everything by 3
1/3mx + b = y
y = 1/3mx + b
Best of Luck!
[tex]\\ \rm\longmapsto x=\dfrac{3(y-b)}{m}[/tex]
[tex]\\ \rm\longmapsto mx=3(y-b)[/tex]
[tex]\\ \rm\longmapsto mx=3y-3b[/tex]
[tex]\\ \rm\longmapsto 3y=mx+3b[/tex]
[tex]\\ \rm\longmapsto y=\dfrac{1}{3}mx+b[/tex]