Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
Find a recursive rule for the nth term of the sequence.
5, 20, 80, 320, ...
Answer:
[tex] a_1 = 5 [/tex]
[tex] a_n = 4a_{n - 1} [/tex]
Step-by-step explanation:
[tex] a_1 = 5 [/tex]
20/5 = 4
80/20 = 4
320/80 = 4
This a geometric sequence with r = 4.
[tex] a_n = 4a_{n - 1} [/tex]
Answer:
[tex] a_1 = 5 [/tex]
[tex] a_n = 4a_{n - 1} [/tex]
Please answer this to the best of your ability
Answer:
For this exercise we need to solve the next equation:
3 +6x = 2x + 27
We can start substracting 3 at both sides:
3 + 6x - 2 = 2x + 27 - 3
6x = 2x + 25
And then, we can substract 2x::
6x - 2x = 2x + 24 - 2x
4x = 25
Then, we divide by 4:
4x/4 = 24/4
x = 24/4 = 6
Now, we can see if we have done it correctly:
3 + 6*6 = 39
2 * 6 + 27 = 39
And we have seen our result is correct
The mass, m grams, of a radioactive substance, present at time t days after first being observed, is given by the formula m=24e^-0.02t. Find
(i) the value of m when t=30.
(ii) the value of t when the mass is half of its value at t=0.
(iii) the rate at which the mass is decreasing when t=50.
Answer:
(i) The value of m when t = 30 is 13.2
(ii) The value of t when the mass is half of its value at t=0 is 34.7
(iii) The rate of the mass when t=50 is -0.18
Step-by-step explanation:
(i) The m value when t = 30 is:
[tex] m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2 [/tex]
Then, the value of m when t = 30 is 13.2
(ii) The value of the mass when t=0 is:
[tex] m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24 [/tex]
Now, the value of t is:
[tex] ln(\frac{m_{0}/2}{24}) = -0.02t [/tex]
[tex] t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7 [/tex]
Hence, the value of t when the mass is half of its value at t=0 is 34.7
(iii) Finally, the rate at which the mass is decreasing when t=50 is:
[tex] \frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48* (e^{-0.02*50}) = -0.18 [/tex]
Therefore, the rate of the mass when t=50 is -0.18.
I hope it helps you!
Use the substitution method to solve the system of equations.
A. (5,-7)
B. (-1,-5)
C. (-1,5)
D. (2,-1)
Answer:
correct ans is d
Step-by-step explanation:
click the photo to see process
OMG HELP NOW PLZZ <3
Answer:
I think it would be Maxine's, since they did more tests.
Find the value of y.
A.74 B.20 C.66 D.62
Answer:
It's letter D.
Step-by-step explanation:
3.14÷60×50= 2.61 but you have to opposite remember if the number is a little number you have to opposite and that is the answer 6.2 but do not joy like this . so the real answer is 62
Find the measure of ∠AED for m∠BEC = 118
Answer: 118°
Step-by-step explanation:
It would be great if someone helped me with this
Answer:
Step-by-step explanation:
They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.
The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.
Solving for slope in the first table:
[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is
y = 3x - 4
Solving for the slope in the second table:
[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is
y = -1x + 3 or just y = -x + 3
That's the system, which happens to be choice D
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
height of the tree ≈ 8.42 m
Step-by-step explanation:
The diagram given represents that of two similar triangles. Therefore, the corresponding lengths of the similar triangles are proportional to each other.
height of tree = h
Therefore:
1.45/h = (31.65 - 26.2)/31.65
1.45/h = 5.45/31.65
Cross multiply
h*5.45 = 1.45*31.65
h*5.45 = 45.8925
h = 45.8925/5.45
h ≈ 8.42 m (nearest hundredth)
Multiply by using suitable rearrangement: 2 × 4 × 8 × 50 × 125. I need this answer. Quick. Ok, How about I give 15 points? Yeah cool just answer.
Answer:
[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]
Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5
Answer:
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
The HCF and LCM of two numbers x and 126 are 24 and 840 respectively. Find the value of x.
Answer:
x=160
Step-by-step explanation:
x×126=24×840
[tex]x=\frac{24 \times840}{126} =160[/tex]
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 3 with A(6, -10) and B(9, -1).
Answer:
Step-by-step explanation:
Use the formulas that allow us to find the point that divides the segment into a ratio which is
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:
[tex]x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}[/tex] and then y:
[tex]y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}[/tex] so the coordinates in question are
[tex](\frac{33}{4},-\frac{13}{4})[/tex]
Answer:
Step-by-step explanation:
the answer would be (7,-7)
On the last math test in Kenzie’s class, 17 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test?
Answer
There is a 68 percent that a student selected a random will score an 80 or higher on the next test.
Explanation
You just need to find the percentage of 17 out of 25, or 17/25.
You can do this by dividing 17 by 25.
17/25 equals 0.68, or 68 percent.
help please please i beg
Answer:
6²
Ste㏒㏒㏑p-by-step explanation:
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]3^{x}+3^{x+2}=\frac{10}{3} \\=> 3^{x} + 3^{x}*3^{2}= \frac{10}{3} \\\\=> 3^{x} (1+9)=\frac{10}{3} \\=> 3^{x}=\frac{10}{3}:10\\=> 3^{x}=\frac{1}{3} \\ \\=> x=-1[/tex]
Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
(a – 3)(a2 + 2a – 6)
help please
Hello,
Why "Multiply the polynomial by distribution" ?
It's s t u p i d, you compliquate the equation.
In order to find the roots of P(a)=(a-3)(a²+2a-6)=0
a²+2a-6
=(a²+2a+1)-7
=(a+1)²-7
=(a-√7)(a+√7)
P(a)=(a-3)(a-√7)(a+√7)
Roots are 3,√7 and -√7
(If i have well understood the question , sorry if not)
Find the inverse of the function y = x2 – 12
Answer: [tex]y=\sqrt{x+12}[/tex]
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
[tex]y=\sqrt{x+12}[/tex]
If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? With four hard disk drives, the probability that catastrophe can be avoided is
Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Which of these steps will eliminate a variable in this system
3x-3y=6
6x+9y=3
Answer:
A
Step-by-step explanation:
This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:
6x - 6y = 12
- 6x + (-)9y = (-)3
Which results in -15y = 9.
This results in an eliminated variable from the start of the system of equation.
The steps that will eliminate a variable in this system are:
Multiply the first equation by 2.
Then subtract the second equation from the first.
What is method of elimination?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]
Learn more about method of elimination here
https://brainly.com/question/14619835
#SPJ2
Simplify: 4y2 + 5y + 2 + 8y2 + 4y + 5.
Answer:
12y² + 9y + 7
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4y² + 5y + 2 + 8y² + 4y + 5
Step 2: Simplify
Combine like terms (y²): 12y² + 5y + 2 + 4y + 5Combine like terms (y): 12y² + 9y + 2 + 5Combine like terms: 12y² + 9y + 7Answer:
12y² + 9y + 7
Step-by-step explanation:
4y² + 5y + 2 + 8y² + 4y + 5
Simplify :-
4y² + 5y + 2 + 8y² + 4y + 5
arranging like terms4y² + 8y² + 5y + 4y + 2 + 5
Combine like terms12y² + 9y + 7
if f(r)= 3.14 r^2 what is f(3)
Answer:
f(3) = 28.26
Step-by-step explanation:
Substitute r = 3 into f(r) , that is
f(3) = 3.14 × 3² = 3.14 × 9 = 28.26
0.2(x + 20) – 3 > –7 – 6.2x
Answer:
x > - 1.25
Step-by-step explanation:
0.2(x + 20) – 3 > –7 – 6.2x
0.2x + 4 - 3 > - 7 - 6.2x
0.2x + 1 > - 7 - 6.2x
Collect like terms
0.2x + 6.2x > -7 - 1
6.4x > -8
x > - 8/6.4
x > - 1.25
Note:
The > didn't change because you didn't divide by a negative value
Inequality signs changes when divided by a negative value
Answer:
Step-by-step explanation:
-1.25
hallar "x"
...................................
a ratio equivalent to 10:15
Answer:
3/2, 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40
Step-by-step explanation:
Answer:
20 : 30
Step-by-step explanation:
Given Ratio :-
10 : 15Equivalent Ratio :-
10 : 15 10 / 15 10 * 2 / 15 *2 20 / 30 20 : 30use the diagram to compute the perimeter and area of the triangle.
Answer:
The area is 22.5 units
The perimeter is 24.3 units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.
To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.
5^2+9^2=c^2
25+81=106=c^2
Find the square root of 106
10.2956301
If your teacher usually asks to round, round.
I'll just round to the tenths place. 10.3
Add all the sides: 5+9+10.3
You get 24.3
Answer:
perimeter= 24.29
area=22.5
Step-by-step explanation:
a^2+b^2=c^2
5^2+9^2=106
106^(1/2)=10.29
perimeter= sum of all sides
""= 5+9+10.29
""=22.29
area= base × height ÷ 2
""= (5×9)÷2
""=22.5
The first and last term of an A. P are 1 and 121 respectively. Find the number of terms in the A.P and the common difference between them if the sum of the term is 1281
Answer:
No.of terms=21
Common difference=6
Find the constant of proportionality if y is
proportional to x.
A. 25
B. 21
C. 26
D. 28
HELPPP!!!!!!
Find the scale factor for the given two similar rectangles.
A. 1/3
B. 1/4
C. 1/5
D. 1/6
HELPPPPP!!!!!!!!!!!!
Answer: A) 1/3
Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9
The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)
y=-3x+5
5x-4y=-3
pls help
Hello!
[tex]\large\boxed{x = 1, y = 2}[/tex]
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer:
(1,2) x=1; y=2
Step-by-step explanation:
We can plug the value of Y into the second equation like so:
[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]
Then we can plug the value of x into the first equation.
[tex]y=-3+5\\y=2[/tex]
(1,2)
Hope this helped! Please mark brainliest :)
Find the measurement of ∠D and ∠C
Answer:
∠D = 125° and ∠C = 55°
Step-by-step explanation:
We should first solve for variable x, which should give us angle C, and then solve for angle D.
[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°Thus ∠C = 55°
Knowing that supplementary angles add to 180°, we set up the equation:
[tex]55+D=180[/tex][tex]D=125[/tex]°Thus ∠D = 125°