Answer:
10, 35, 135, 410, 1235, ...
Step-by-step explanation:
a(1) = 10
a(n) = 3 * a(n-1) + 5
This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:
a(1) = 10
a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35
a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135
a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410
a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235
And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...
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Answer:
msdnvqkyfhcjavnyoqrudfn fn,bq2yor78DHCBN
Does anybody know this answer
Answer:
its 90
Step-by-step explanation:
beacuse it is
Answer:
Step-by-step explanation:
Area of sphere is:
\(4\pi r^2\)
So, we would have:
\(4\pi12^2=4\pi144=452.16\cdot4=\boxed{1808.64}\)
Hope this helps.
What is the slope of a line perpendicular to the line whose equation is 3x + y = -4.
Fully reduce your answer.
Answer:
1/3
Step-by-step explanation:
When the equation of a line is in standard form:
ax +by = c
We can find its slope by solving for y:
by = -ax +c
y = -a/bx +c/b
The slope is the coefficient of x. The slope is -a/b.
__
A perpendicular line has a slope that is the negative reciprocal of this:
slope of perpendicular line = -1/(-a/b) = b/a
In the given equation, a=3, b=1, so the slope of the perpendicular line is ...
b/a = 1/3
Can someone help I don’t understand this please it’s an emergency i’ll give the most points
The number of cups that Sofia needs to sell in order to earn more than $25.00 profit would be = 0.5(c) - 8 > 25
How to calculate the number of cups that needs to be sold?The cost of each cup of Lemonade = $0.05 per cup
The amount she spent on supplies for lemonade = $8.00
The inequality that should represent the number of cups of lemonade c, in order to earn more than $25 ;
= 0.5(c) - 8 > 25
This is because the cost of supplies should be removed form the total profit to know the profit made out of the sales.
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What should be added to -5/9 to get 1?
Answer:
14/9
Step-by-step explanation:
9/9 = 1
Therefore,
-5/9 + x/9 = 9/9
x/9 = 9/9 + 5/9
x/9 = 14/9
To check the answer,
-5/9 + 14/9 = 9/9 answer checks out!
Graph the image of this figure after a dilation with a scale factor of 12centered at the point (−3, 0)
Answer:
bro tbh just use like or
Step-by-step explanation:
its not that deep
Dante and 4 friends booked a cruise together. They split the cost equally. Write an equation to represent relationship. X represent independent variable and y represent dependent variable
This equation shows us that the cost of the cruise, Y, depends on the number of friends, X, and the total cost, C, which is assumed to be fixed.
The given scenario is about five friends who booked a cruise together and want to split the cost equally. In order to represent this relationship mathematically, we need to identify the independent and dependent variables. Here, the independent variable is the number of friends, denoted by X, and the dependent variable is the cost of the cruise, denoted by Y.
To write an equation that represents the relationship between these variables, we can start by noting that each person will pay an equal share of the total cost. Therefore, the total cost of the cruise, C, can be expressed as:
C = 5Y
This equation states that the total cost, C, equals five times the cost per person, Y, since there are five friends. To find the cost per person, we can divide both sides by 5:
Y = C/5
Now that we have an expression for the cost per person, we can use it to write the desired equation in terms of the number of friends, X:
Y = (C/5) * X
This equation shows us that the cost of the cruise, Y, depends on the number of friends, X, and the total cost, C, which is assumed to be fixed. It also confirms our earlier observation that the cost per person is C/5. Overall, this equation provides a useful tool for understanding how the cost of the cruise varies with different numbers of friends.
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What is the slope of the line that passes through the points (-7, -10)(−7,−10) and (-19, -10)(−19,−10)? Write your answer in simplest form
Answer: The slope of the line that passes through the points (-7, -10) and (-19, -10) is 0.
Step-by-step explanation:
The slope of a line is found by using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
If we plug in the points (-7, -10) and (-19, -10) we get:
m = (-10 - (-10)) / (-19 - (-7)) = 0 / -12 = 0
So the slope of the line that passes through the points (-7, -10) and (-19, -10) is 0.
help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176
Answer:
Step-by-step explanation:
12.
13. Yes it is propoitinal because they are even
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
graph the solution to this inequality on the number line x + 3 < -6 first select the correct Ray. then select the location of the endpoint
Answer:
open circle point of -9 going to the left
Step-by-step explanation:
hope this helps!!!
The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
Supplementary angle measure 142
Answer:
no it's measure 180
I think soooo
Using the function, g(x) = 5x - 2 and the domain below, state the range.
Domain: {-3, -1, 0, 2}
Answer:
{2-,-3,5.5}
Step-by-step explanation:
g(x) = 5x - 2
Domain: {-3, -1, 0, 2}
Range: Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 2 − − 3 = 5 . 5
x = 5 -3 x is quadratic equation? True False?
Answer:
False
Step-by-step explanation:
A quadratic equation contains at least one term that is squared.
The standard form of a quadratic equation =
\(ax^2 + bx + c = 0\)
Where ;
a, = constant
b = constant
c = constants, or numerical coefficients,
x = unknown variable.
Solve 7(4 – 3) – 1 + 5 • 1/5. Name the property used in each step.
The solution of given expression 7×(4-3) - 1+5×1/5 is 5.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
Given that the expression 7×(4-3) - 1+5×1/5.
To solve the above expression we will use PEMDAS;
First, we use the subtraction in brackets and this process is called simplifying parenthesis,
7×(4-3) - 1+5×1/5= 7×(1) - 1+5×1/5.
Now, we use the operation multiplication,
7×(1) - 1+5×1/5 = 7 - 1+1
Now we add the terms and this process is called addition of terms,
7 - 1+ 1 = 7-2
Now, we subtract the numbers and this property is subtraction of numbers,
7 - 2 = 5.
Therefore, the solution of given expression 7×(4-3) - 1+5×1/5 is 5.
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a cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 4 cubic feet per minute. the radius of the tank is 2 feet. how fast is the level of the water in the tank rising when the tank is half full?
Answer:
To solve this problem, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Step 1: We know that the radius of the tank is 2 feet and that it is being filled at a rate of 4 cubic feet per minute. We also know that the tank is half full, so we can assume that the height of the water in the tank is half the height of the tank itself.
Step 2: We can use the volume formula to find the volume of the tank when it is half full.
V = πr^2h
V = π(2^2)(h/2)
V = 4πh/2
Step 3: We can divide the rate of fill by the volume of the tank when it is half full to find the rate of change of the height of the water.
dh/dt = 4/(4π/2)
dh/dt = 2/π ft/min
Final Answer: The level of the water in the tank is rising at a rate of 2/π feet per minute when the tank is half full.
Actually 100 points check for yourself (Easiest 100 points) Match each ordered pair on the left with the functions on the right.
Answer:
(-4, 40) y = -9x + 4
(8, 50) y = 6x + 2
(9, -36) y = -3x - 9
(5, 38) y = 8x - 2
Do you want an explanation?
#1
y=-9x+4Put (-4,40)
40=-9(-4)+440=40Verified
#2
y=-3x-9put (9,-36)
-36=-3(9)-9-36=-36Verified
#3
y=8x-2Put (5,38)
38=8(5)-238=38Verified
#4
y=6x+2Put (8,50)
50=6(8)+250=50Hence verifiedl
Expand the expression by distributing
-2(-4x-7)
Answer:
8x+14
Step-by-step explanation:
33 +4 = 52 – 10
This equation can be simplified by combining like terms to become 8.2 + 4 = -10.
If "False", explain why
True
False
Help please! I do not understand
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
Of the 1,300 children participating in a town's parks and recreations programs, 765 are under the age of 8. To encourage participation across all ages, city officials are studying which programs are the most popular in each age group.In the sampling distribution of sample proportions of size 100, above what proportion will 35% of all sample proportions be?Select all answers that apply to your calculation below. Use the z-table given below to answer the question:z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09-0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245-0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.288 0.284 0.281 0.278-0.4 0.345 0.341 0.337 0.334 0.330 0.326 0.323 0.319 0.316 0.312-0.3 0.382 0.378 0.374 0.371 0.367 0.363 0.359 0.356 0.352 0.348z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.090.2 0.579 0.583 0.587 0.591 0.595 0.599 0.603 0.606 0.610 0.6140.3 0.618 0.622 0.626 0.629 0.633 0.637 0.641 0.644 0.648 0.6520.4 0.655 0.659 0.663 0.666 0.670 0.674 0.677 0.681 0.684 0.6880.5 0.691 0.695 0.698 0.702 0.705 0.709 0.712 0.716 0.719 0.722Select all that apply:z=−0.39z=0.39z=0.38p^=0.97p^=1.71p^=0.61
Using the z-table given, we can see that the z-score for the 65th percentile is between 0.38 and 0.39.
What is central limit theorem?The central limit theorem is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the sample means from a population with any distribution will approximate a normal distribution, regardless of the shape of the original population distribution. This theorem is one of the key reasons why the normal distribution is so commonly used in statistical analysis.
Here,
We can use the formula for the standard error of the sample proportion to find the answer:
standard error = √(p * (1 - p) / n
where p is the population proportion (in this case, the proportion of children under 8 years old) and n is the sample size (100).
We can plug in the given values:
p = 765/1300 ≈ 0.588
n = 100
standard error = √(0.588 * (1 - 0.588) / 100)
≈ 0.049
To find the proportion above which 35% of all sample proportions will be, we need to find the z-score corresponding to the 65th percentile (since 100% - 65% = 35%).
Therefore, the possible correct answers are:
z = 0.38
z = 0.39
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given the definition of f (x) and g(x) below find the value of g(f(-1)).
f(x)=3x²+5x-7
g(x)=2x+13
Answer:
-29
Step-by-step explanation:
first do the f function which gets you g(-21)
then do the g function
Enter the zero element (zero vector) for each vector space. Use the following syntax to enter your answers. Enter the vector⟨1,2,3⟩using⟨1,2,3⟩. Enter the matrix[1324]using[[1,2],[3,4]]. Enter the functionf(x)=x2−sin(x)usingf(x)=x−2−sin(x), including the partf(x)=. 1. The zero vector of the vector spaceR2is 2. The zero vector of the vector space of2×2matrices is 3. The zero vector for the vector space of all functionsf:R→Ris
1) The zero vector of the vector space R2 is ⟨0,0⟩.
2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].
3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.
What is vector space?
A vector space is a mathematical structure consisting of a set of vectors that can be added together and scaled (multiplied) by scalars, such as real numbers, satisfying certain axioms.
The zero vector of the vector space R2 is ⟨0, 0⟩. This is because the zero vector of a vector space is the unique vector which when added to any vector in the space results in that same vector. In R2, the vector ⟨0, 0⟩ has this property, because for any vector ⟨a, b⟩ in R2, ⟨0, 0⟩ + ⟨a, b⟩ = ⟨a, b⟩.
The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]]. This is because the zero vector of a vector space is the unique matrix which when added to any matrix in the space results in that same matrix. In the space of 2×2 matrices, the matrix [[0,0],[0,0]] has this property, because for any matrix [[a,b],[c,d]] in the space, [[0,0],[0,0]] + [[a,b],[c,d]] = [[a,b],[c,d]].
The zero vector for the vector space of all functions f:R→R is f(x) = 0. This is because the zero vector of a vector space is the unique function which when added to any function in the space results in that same function. In the space of all functions f:R→R, the function f(x) = 0 has this property, because for any function f(x), f(x) + 0 = f(x).
Hence,
1) The zero vector of the vector space R2 is ⟨0,0⟩.
2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].
3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.
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8 which of the following numbers Is Irrational?
A 0.275275275275...
B1
1/3
C
3 to the fourth power
D
The square root of 2
select all the expressions that equal.. *see picture for problem*
Answer:
Step-by-step explanation:
oknjbgfkdfrgn jnfbfl
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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1 x 1
2 x 2
4 x 4
16 x 16
200 x 19.56
Answer:
we should solve it or what should we do...
Did maya angelou take control of her life and do positive things???
A. true
B. false
Answer:
true
Step-by-step explanation: