Answer:
[tex]N(t) = 37.1(1.38)^t[/tex]
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]N(t) = N(0)(1+r)^t[/tex]
In which N(0) is the initial value and r is the rate of change, as a decimal.
37.1 million in July 1998
This means that [tex]N(0) = 37.1[/tex]
So
[tex]N(t) = 37.1(1+r)^t[/tex]
In July 2005, the internet was linked by a global network of about 353 million host computers.
This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.
[tex]N(t) = 37.1(1+r)^t[/tex]
[tex]353 = 37.1(1+r)^7[/tex]
[tex](1+r)^7 = \frac{353}{37.1}[/tex]
[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]
[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]
[tex]1 + r = 1.38[/tex]
The formula is:
[tex]N(t) = 37.1(1.38)^t[/tex]
PLEASE HELP DUE IN 3 minutes
Answer:
B
Step-by-step explanation:
B option 2nd histograms matches with the data given in table...
what is the value of x when h(x) x-3
Answer:
-1
Step-by-step explanation:
I did it in my review
Who can help me with this please
Answer:
I cant see the full question, what is it ?
Step-by-step explanation:
what is 4x + 8 = 10
type an (x,y) ordered pair to put a point on this line.
Answer:
(-2, 5)
Step-by-step explanation:
The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The graph of the line is given.
In order to find the coordinate of a point do as follows,
Draw a perpendicular line from any point on the line to x-axis.
The intersection of this line with x-axis will give the x-cordinate.
Similarly, find y-coordinate by drawing a perpendicular line to y-axis.
Applying the above procedure, a point is obtained as (-4, 1).
Hence, the ordered pair for the line shown in the graph is (-4, 1).
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Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.
Part B. What is the volume of the water in the pool?
a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft
Answer:
Part A:
I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft
Part B:
a. 3750 ft
Jaya went shopping for a new phone because of sale. The store was offering a 10% discount. What number should she multiply the prices on the tags by to find the price she would have to pay before tax in one step
Answer:
10%
Step-by-step explanation:
jaya should multiple the price on the tag by 10%.
for example;suppose the price is 1000. and the discount is 10% so 1000×10\100=900
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A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box
Answer:
8 bowls
Step-by-step explanation:
10=40/4
1 1/4=5/4
40/4 divided by 5/4=160/20
160/20=8/1
Answer: the answer is 8
Step-by-step explanation:
Lauren brings brownies to class and gives 3/5 of them to Peter, Wendy, and Michael. If she gave them 21 brownies, how many did she bring to class?
Answer:
If 3/5 of all the brownies is 21, then 5/3 of 21 is the number of the brownies that Lauren brought in.
That probably sounded super confusing. When multiplying a number by a reciprocal of a fraction (a fraction where the numerator and denominator is reversed), the previous fraction multiplication is reversed.
Multiplying 21 with 5/3 will give us the original number of brownies.
Lauren originally brought 35 brownies.
Step-by-step explanation:
plz mark brainlyest it really helps
Write an equation and solve for the missing anglemeasure.
Equation: _______________________
Angle g = ___________
Answer:
Equation: [tex]143 + g = 180[/tex]
[tex]g =37[/tex]
Step-by-step explanation:
Given
The attached figure
Required
The equation to find g and the solution
From the attached: Angles ACD, DCE and ECB lie on a straight line.
Where
[tex]ACD = 90[/tex] [tex]DCE = 53[/tex] [tex]ECB = g[/tex]
This means that:
[tex]ACD + DCE + ECB = 180[/tex]
[tex]90 + 53 + g = 180[/tex]
[tex]143 + g = 180[/tex]
Subtract 143 from both sides
[tex]-143 + 143 + g = 180 - 143[/tex]
[tex]g = 37[/tex]
Complete the table following the linear function rule. I don’t know what to do at all.
Answer:
-2, 1, 4
Step-by-step explanation:
Help me 5th grade math sorry if I'm bothering ppl :(
Answer:
It's C. Ik it bc I'm in 7th and I learned bout it and yw
Step-by-step explanation:
Answer:
C: 3 times the diffrence of 62 and 42
*im in 9th IM NOT SURE THO LOL*
Step-by-step explanation:
Here are five statements.
For each statement, say whether it is TRUE or FALSE.
The first one has been done for you.
Note: Please make sure you follow the format of the answers, e.g.
2) ....
3) ...
Answer:
Step-by-step explanation:
2) False.
3) True. It could be 50°-65°-65°.
4) True. It could be 35°-35°-110°.
5) True. It could be 40°-50°-90°.
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=72°, and VT = 6.6 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
21.4
Step-by-step explanation:
Answer:
21.4
Step-by-step explanation:
delta math told me! :)
Find the measure of 41.
{
839
41
4 1 = [?]
Enter
<1=97°
Answer:
<1+83=180 co interior angle
<1=180-83=97°
Answer:
solution given:
<1+<83°=180°[co- interior angle]
<1=180°-<83°=97°
<1=97° is your answer
if 25,m+1,35 are arithmetic sequence then find the value of m
Answer:
m = 29
Step-by-step explanation:
You are counting by fives.
25, 30, 35
m + 1 = 30
m + 1 - 1 = 30 - 1
m = 29
25, (29 + 1), 35
25, 30, 35
The value of m is equal to 29
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are counting by fives.
m + 1 = 30
Now subtract 1 on both sides;
m + 1 - 1 = 30 - 1
m = 29
Thus substituting the value to find other terms;
25, (29 + 1), 35
The sequence is
25, 30, 35
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What is another possible solution to the inequality -2x > 6?
Answer:
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2x>6
Step 1: Divide both sides by -2.
−2x/−2 > 6/−2
Answer:
x<−3
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Branliest pls?
ill mark brainlist plss help
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
○ 28 cm2Hope it helps!
Mark me brainliest pls....
Follow me! ;)
Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0
a) Write the equation of the circle in standard form. (3 points)
b) What is the center of the circle? (1 point)
c) What is the radius of the circle? (1 points)
d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)
Answer:
Subtract
12
from both sides of the equation.
x
2
+
y
2
−
12
x
+
2
y
=
−
12
Complete the square for
x
2
−
12
x
.
Tap for more steps...
(
x
−
6
)
2
−
36
Substitute
(
x
−
6
)
2
−
36
for
x
2
−
12
x
in the equation
x
2
+
y
2
−
12
x
+
2
y
=
−
12
.
(
x
−
6
)
2
−
36+y2+2y=−12
Move
−36
to the right side of the equation by adding
36
to both sides.
(x−6)2+y2+2y=−12+36
Complete the square for
y2+2y.
Tap for more steps...
(y+1)2−1
Substitute
(y+1)2−1
for
y2+2y
in the equation
x2+y2−12x+2y=−12.
(x−6)2+(y+1)2−1=−12+36
Move
−1
to the right side of the equation by adding
1
to both sides.
(x−6)2+(y+1)2=−12+36+1
Simplify
−12+36+1.
Tap for more steps...
(x−6)2+(y+1)2=25
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r=5 h=6 k=−1
The center of the circle is found at
(h,k).
Center:
(6,−1)
These values represent the important values for graphing and analyzing a circle.
Center: (6,−1)
Radius:
5
image of graph
Step-by-step explanation:
Answer:
A) (x+6)^2 + (y-1)^2 =49
B) (-6, 1)
C) Radius of 7
D) I’ll try to add picture
Step-by-step explanation:
hotomath
What's all equivalent to 7/8
Answer:
0.875?
Step-by-step explanation:
I just did 7 divided by 8
Answer:
14/16
49/56
Step-by-step explanation:
I looked it up for you!!!
Please help and will give brainliest.
Answer:
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Step-by-step explanation:
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
2 (a) Simplify.
(i) a6 a2
O pop
Answer:
a4...................hope this helps
having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)
Answer: D) 101
Step-by-step explanation:
By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out
[tex]\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101[/tex]
I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?
A population of bacteria is initially 500. After two hours the population is 250. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. If you need to round any decimals, round to four decimal places.
Answer:
500(1/2)^t/2
Step-by-step explanation:
Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.
f(t)=2000(b)ct
After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:
f(t)f(t)=500(12)12(t)=500(12)t2
Alternate Solution
The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:
500a=a(b)0=500
The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:
25025050012(12)12b=500(b)2=b2=b2=b≈0.7071
This gives the final exponential equation:
f(t)=500(0.7071)t
When the exponential function that represents the size of the bacteria population after t hours is = [tex]500(1/2)\wedge t/2[/tex]
Calculation of Exponential functionWhen we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.
Then, f(t)=2000(b)ct
After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:
Then, f(t)f(t)=500(12)12(t)=500(12)t2
Now, an Alternate Resolution
When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:
After that, 500a=a(b)0=500
Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:
Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071
So, This gives the final exponential equation:
Therefore, f(t) is =500(0.7071)t
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Exercise 8.3.4: Selecting coders for 3 different projects. About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project
Answer:
168 ways
Step-by-step explanation:
Given
[tex]Junior = 7[/tex]
[tex]Senior = 3[/tex]
Required
Number of ways 3 project can be assigned
Starting with the second project.
This can be assigned to only senior coders
So:
[tex]n_1 = 3[/tex]
Then, the third project.
This can be assigned to only junior coders
So:
[tex]n_2 = 7[/tex]
At this point, we are left with 2 senior coders and 6 junior coders
Since the first can be assigned to anybody.
[tex]n_3 =2+ 6[/tex]
[tex]n_3 =8[/tex]
The number of selection is then calculated as:
[tex]n = n_1 * n_2 * n_3[/tex]
[tex]n = 3 * 7 * 8[/tex]
[tex]n = 168[/tex]
In ………………………………… areas, the annula temperatures is often below Freezing point
Answer:
Tundra
Step-by-step explanation:
In Tundra (or arctic) areas, the annula temperatures is often below Freezing point
Been posting this question for days now (Q5) ....pls I beg of you if you don't know don't reply
Answer:
a. Another letter that have corresponding angles is the letter 'E'
b. Another letter that have alternate angles is the letter 'N'
Step-by-step explanation:
The capital letter 'F' can be described as letter can be presented as follows;
Two horizontal parallel lines touching and perpendicular to a common transversal
Therefore, the parallel lines in the letter 'F' and their common transversal form corresponding angles below each parallel line and the common transversal
The two horizontal lines in the capital letter Z and the inclined transversal form alternate angles between the transversal and the parallel lines, in the region between the parallel lines and on opposite sides of the transversal
a. Another letter that have corresponding angles is the letter 'E'
b. Another letter that have alternate angles is the letter 'N'
A shape is made of 9 right triangles of equal size and three identical rectangles. Each rectangle measures 7 mm wide and 3 mm high. What is the total area, in square mm of the shape?
Answer:
21
Step-by-step explanation:
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Answer: W is your answer :)
Step-by-step explanation: