Answer:
a1 =2
an = an-1 * 4
Step-by-step explanation:
We can tell this is geometric by the way it increases
To find the common ratio, take the second term and divide by the first term
8/2 =4
Check to make sure
2*4=8
8*4 =32
32*4 =128
The recursive formula is
a1 = the first term
an = an-1 *r
a1 =2
an = an-1 * 4
The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.
During the first 24 hours, at what times does the water depth reach a maximum?
Answer:
Below
Step-by-step explanation:
f(t) = 4.1 (sin pi/6 t - pi/3) + 19.7 <===will be a maximum when the sin portion is equal to 1
so sin ( pi/6 t - pi/3) = 1 given that sin is equal to one at 0 and pi and 2 pi and 3 pi and 4 pi etc
pi/6 t - pi/3 = 0 or pi , 2 pi, 3 pi , 4 pi
then t = 2 and 8 and 14 and 20 hrs ( every 6 hrs starting with t = 2)
y = x2 - 6x-16
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
it's C
Step-by-step explanation:
-16 means where the line crosses y axis
Card 7 * Caleb can ride his bike 30 miles in 2 hours. At this rate, how long will it take him to ride 75 miles?
Answer:
5 Hours
Step-by-step explanation:
2 : 30 = 1 : 15
75 ÷ 15 = 5
Answer:
5 hours
Step-by-step explanation:
30/2 = 15 miles per hour
75/15 = 5 hours
Solve each equation for both variables help please 15 points
Answer:
x = 12 and y = 11
Step-by-step explanation:
4x+3y=-15 -----equation 1st
4x-y = -27 ____equation 2nd
then,
Multiple equation second by 3 and slove it with equation first
4X +3Y = -15
12X -3Y = -81 (Multiples it with 3)
-8x = -96 (subtracted)
x=-96/-8
therefore, x=12
again,
from equation first
4x+3y = -15
or 4 × 12 + 3y = -15
or 3y = -15+48
or 3y= 33
or y=33/3
therefore, y =11
I hope this helps. If you have any doubt feel free to ask!!
Answer:
x = -6, y = 3
Step-by-step explanation:
1) 4x + 3y = -15
2) 4x - y = -27
0 + 4y = 12 subtract equation (2) from equation (1)
4y = 12
y = 12/4 = 3 substitute y = 3 into either equation 1 or 2 and solve for x
4x + 3(3) = -15
4x = -24
x = -6
Check your answers by plugging x = -6, y = 3 into the equations:
4(-6) + 3(3) = -15 correct!
4(-6) - 3 = -27 correct!
Juan has 40 pieces of paper and it has seven times as many pieces of paper as Juan
Answer:
280
Step-by-step explanation:
To the nearest tenth, find the volume of a sphere with a radius of 4.8 cm. Use 3.14 for π.
Answer:
463 rounded
Step-by-step explanation:
4/3 times pi times r times r times r.
4.8 x 4.8 x 4.8 = 110.592 x 3.14 x 4/3 = 463
Volume of sphere is 463.01 [tex]cm^{3}[/tex].
What is the volume of sphere?The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.
Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Given
Radius of sphere r = 4.8 cm
Volume of sphere
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
V = [tex]\frac{4}{3} \pi (4.8)^{3}[/tex]
V = 463.01 [tex]cm^{3}[/tex]
Volume of sphere is 463.01 [tex]cm^{3}[/tex].
Find out more information about volume of sphere here
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find a number such that 30% of it is 1260
well, that number is "x", which oddly enough is the 100%, now, we also know that 30% of that is 1260, so hmmmm
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1260& 30 \end{array} \implies \cfrac{x}{1260}~~=~~\cfrac{100}{30} \\\\\\ \cfrac{ x }{ 1260 } ~~=~~ \cfrac{ 10 }{ 3 }\implies 3x=12600\implies x=\cfrac{12600}{3}\implies x=4200[/tex]
Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.
What will be the value of his car in year 10?
PLEASE GIVE ME THE ANSWER!!
Answer:
$1,158.08
Step-by-step explanation:
The value of the car in year 10 is $1158.08
How to determine the car value in year 10?From the table, we have the following points
(x, y) = (1,5000) and (2,4250)
Start by calculating the rate of depreciation using:
r = y2/y1
So, we have:
r = 4250/5000
Evaluate
r = 0.85
The value of the car in nth year is calculated using:
y = y1 * r^(n - 1)
For the 10th year, we have:
y = 5000 * 0.85^(10 - 1)
Evaluate the product
y = 1158.08
Hence, the value of the car in year 10 is $1158.08
Read more about depreciation at:
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y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
The function graphed above is:
Increasing on the interval(s)
Х
Decreasing on the interval(s)
Х
Step-by-step explanation:
When the slope of the function is positive, it is increasing
when the slope of the function is negative, it is decreasing
just like with the line function y = mx + b
so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function
also beware where the slope is zero it is not increasing or decreasing
there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing
increasing interval 1) x < -2 2) x > 1.5
decreasing interval 1) -2 < x < 1.5
at -2 and 1.5 the slope is zero
If the slope of a function is positive at all the points of the curve in a interval, function will be increasing.
f'(x) > 0
If the slope of a function is negative at all the points of the curve in a interval,
function will be decreasing.
f'(x) < 0
As we can see from the graph slope of the curve is positive in the intervals (-∞, -2) and (1.5, ∞) and decreasing in the interval (-2, 1.5).
Therefore, function is increasing in the intervals → (-∞, -2) and (1.5, ∞).
And the function is decreasing in the interval → (-2, 1.5)
Learn more,
https://brainly.com/question/16951566
What is the measure of c?
Answer:
45 degrees
Step-by-step explanation:
Which graph represents a function?
Answer:
The fourth graph since it passes the vertical line test.
Each input has one output.
Hope this helps :)
Write an algebraic expression for each item. Use x for the variable.
Example:
A number times the difference of 58 and 17
x (58-17)
1. a number subtracted from 50
2. twice a number added to 189
3. 109 more than a number
4. 99 more than a number
5. a number times the difference of 76 and 39
6. a number added to 75
7. thrice the number subtracted from 45
8. 15 more than twice a number
9. 25 less than 3 times the number
10. a number times the sum of the number and 88
Answer:
1. 50-x
2. 2x+189
3. x+109
4. x+99
5. x*(76-39)
6. 75+x
7. 45-3x
8. 2x+15
9. 3x-25
10. x*(x+88)
Step-by-step explanation:
Find the missing term 2,..,20,29
Answer:
11
Step-by-step explanation:
29-20= 91
2+9=11
11+9=
what is the quotient of g and 25
Answer:
the quotient of g and 25 is g/15.
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
Answer:
a, d, f
Step-by-step explanation:
3 - 3= 0
6 = 2(3)
3^2 = 9
Answer and Step-by-step explanation:
To find all equations where x = 3 is a solution, solve all equations for x and see if it is equal to 3.
A. x - 3 = 0
x = 3
B. 1 + x = 2
x = 1
C. 9 - x = 3
x = 6
D. 6 = 2x
x = 3
E. [tex]\frac{1}{5} x = 3[/tex]
x = 15
F. [tex]x^2 = 9[/tex]
x = 3
A, D, and F are the answers.
#teamtrees #PAW (Plant And Water)
I need this please quick
No links
16 points!
2) Find each angle measure to the nearest degree
Find m.
4.2 in.
I
B
6.5 in.
pleaseeeeeeee help if correct will mark brainliest
Answer: AB=7.74in.;m<A
=57*;m<B=33*
Step-by-step explanation
this symbol means degrees *
Plz help its my last grade
Answer:
D
Step-by-step explanation:
i think i do am not si sure
Answer:
A, the first option
Step-by-step explanation:
1. Add 15 to both sides to cancel out the 15 from the left. (5x < -50)
2. Divide both sides by 5 to cancel out the 5 from the left. ( x < -10)
This inequality does not include the -10 because it's less than -10 not less than or equal to. So, the point at -10 should not be filled in.
x has to be LESS than, so the graph should include numbers that are less than -10 which leads us to our answer, A.
please help due in 10 min will mark brainliest
Answer:
Option D will be your answer
------------------------------------------
hope it helps..
have a great day!!
find each angle measure to the nearest degree
4) Find m.
10 cm
15 cm
'R
will mark brainliest if correct
Answer: QP=11.18cm;
QP=11.18cm;
m<Q=42;m<R=48*
Step-by-step explanation:
Hope this helps and the 48 degree
Find the measure of KM in the circle.
Answer:
KM = 180° - 133° = 47°
KM = 47°
the square root of 11.737476 has ____ decimal place
Answer:
3 decimal places
Step-by-step explanation:
square root of 11.737476 is 3.426
Answer:
3•426
having 3 decimal places
Find the sum of the geometric series. sqrt3 - 3/2 + 3sqrt3/4 - 9/8 ...
a. sqrt3
b. 4sqrt3 - 6
c. sqrt3 - 3/2
d. Does not exist
Answer:
C?
Step-by-step explanation:
In my opinion I probably think it could be C but you don't have to choose it. It could probably be wrong.
Answer: B
Step-by-step explanation:
Could someone help answer this? Thanks!
The limit of a function y=f(x) at x=a is sometimes best understood as the approximate height of the function around x=a based on the values around x=a whereas the value of the function f at x=a is the exact height of the function at that point. Consider two functions 1) f(x)=x+1 and g(x)=(x^2-1)/(x-1). Answer the following questions. (a) Discuss the process of finding the limit x->1 f(x). (b) How does it differ from f(1)?
a) The process to find the limit is given as follows:
f(x): simply replace x by 1.g(x): factor and then replacing.b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.
How to calculate the limit of a function?The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.
Hence:
lim x -> 1 f(x) = 1 + 1 = 2.lim x -> 1 g(x) = (1² - 1)/(1 - 1) = 0/0.For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.
Applying the subtraction of perfect squares, we have that:
x² - 1 = (x - 1)(x + 1).
Then:
g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.
Meaning that the limit is then calculated as follows:
lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.
More can be learned about limits at brainly.com/question/26104792
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Please help, no links please
Given:
The figure of a rhombus.
To find:
The measure of angle 1.
Solution:
First label the vertices of the rhombus as shown in the below figure.
We know that the opposite angles of a rhombus are congruent and the diagonals of a rhombus bisect each vertex angle.
[tex]m\angle ABD=m\angle CBD=30^\circ[/tex] (Diagonal BD is the angle bisector)
Now,
[tex]m\angle ABC=m\angle ABD+m\angle CBD[/tex]
[tex]m\angle ABC=30^\circ+30^\circ[/tex]
[tex]m\angle ABC=60^\circ[/tex]
We know that the consecutive angles of a rhombus are supplementary. It means the sum of each pair of consecutive angles is 180 degrees.
[tex]m\angle BAD+m\angle ABC=180^\circ[/tex]
[tex]m\angle 1+60^\circ=180^\circ[/tex]
[tex]m\angle 1=180^\circ-60^\circ[/tex]
[tex]m\angle 1=120^\circ[/tex]
Therefore, the measure of angle 1 is [tex]m\angle 1=120^\circ[/tex].
Pls pls help I’ll mark u brainliesttt
Answer:
89.44
Step-by-step explanation:
[tex]120^2-80^2=8000[/tex]
[tex]\sqrt{8000} = 89.44[/tex]
What is the total area of the figure?
A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which Is the most common
letter to start a word. If we randomly pick of 20 unique words, which of these lists of words will come closest to the theoretical probability of getting
a word beginning with T?
Answer:
To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:
Theoretical Probability = 6,670 / 40,000
Theoretical Probability = 0.16675 = 0.17
From the given choices, the list of words which can give this similar amount of probability is:
“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”
In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:
Sample probability = 4 / 20
Sample probability = 0.20
Step-by-step explanation:
FIRST (CORRECT) ANSWER I WILL GIVE BRAINLIEST
Plot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.
A.
36 square units
B.
72 square units
C.
4 square units
D.
12.5 square units
Answer:
A
Explanation:
If you graph the points and connect them, you'll see the triangle they're asking about. Yhe base of the triangle is 9 and the height is 8. The area of a triangle is half of the base times the height. So multiply 8 by 9 and you get 72. This is twice the area. So divide it by 2 and you get 36, which is the area of the triangle. So the answer is A.