The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.
Using the recursive formula:
a_2 = a_1 + 5a = 7a + 5a = 12a
a_3 = a_2 + 5a = 12a + 5a = 17a
a_4 = a_3 + 5a = 17a + 5a = 22a
a_5 = a_4 + 5a = 22a + 5a = 27a
so a_5 = 27a
This is the final result and no need to calculate more.
Thus the final value of a_5 is 27a.
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what is -7 divided by 3/4 ?
Answer:
-9.333333333333333333333
Step-by-step explanation:
Answer-9 1/3
Step-by-step example
first, multiply 7x4 over 3 then next to that cross multiply that with 28 over 3
then simply that which’s gets to 28 over 3 then you get your answer 9.3333 then simplify that and you get 9 1/3
Find the area of a circle with a radius of 3 (AREA) explain
Someone plzzz helpppp meeee
So yea just help this is the last one
Answer:
C Because thats the only thing there is no doubt
William deposited $7500 into an account that accumulated simple interest at a rate of 2.5% a year. At this rate, how long would it take for the account to reach $10,312.50?
Answer:
15 years
Step-by-step explanation:
$10,312.50-$7500 = $2,812.50 in interest we need over time
7500 x 2.5= $187.50/year (interest)
$2,812.50 / $187.50 = 15 years
HURRY!!
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 167 centimeters.
Which measurement is closest to the volume of the cylinder in cubic centimeters?
A. 251. 3
B. 4,021. 2
C. 1,005. 3
D. 628. 3
Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.
1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives
r = C / 2π. Therefore,
r = (167 / 2π)
= 26.6 cm.
2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,
V = π(26.6)2 * 5
= 628.3 cubic centimeters.
or
r = (167 / 2π) = 26.6 cm
V = π(26.6)2 * 5 = 628.3 cubic centimeters
To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.
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Help me, its geometry pls show everything.
It is assumed the given figure is a parallelogram.
Use properties of a parallelogram:
opposite sides are parallel and congruent,diagonals bisect each other.Find the missing values:
ML = NP = 12 m, opposite sides are congruent,LP = MN = 10 m, opposite sides are congruent,m∠LPM = m∠NMP = 62°, alternate interior angles are congruent, as LP║MN and MP is transversal,LN = LQ*2 = 9*2 = 18 m, as Q is the midpoint of LN,m∠MLN = m∠PNL = 32°, alternate interior angles are congruent, as ML║NP and LN is transversal,QN = QL = 9 m, as Q is the midpoint of LN.Select the graph that best represents the solution set of the system of linear inequalities
It’s Due today pls help out
How can I do math fast?
To do Maths fast follow the steps:
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.
The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.
There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.To learn more about Maths refer to :
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What is the answer of 7x 5 2x?
The answer to the given that is 7x 5 2x question is 70
Explanation: In this case the answer is calculated by performing the operations in the order they are written. First, we multiply 7 and 5, which gives us 35. Then, we multiply 2 and x, which gives us 2x. Finally, we add 35 and 2x, resulting in 70
Multiplication is an arithmetic operation that involves multiplying two numbers together to produce a third number. It is usually represented by the multiplication sign (×) and is one of the four basic operations in mathematics. Hence the correct answer is 70.
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The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
(A) P(N = 8) (B) P(N > 8) (C) P(N < 8) (D) P(7 < N < 8) (E) P(N < 7) or P(N > 8)
The probability for all five answers is greater than 0.
The normal distribution is a type of continuous probability distribution, and probability can never equal 0 for a continuous distribution. The probability of a particular value (in this case, 8) is the area under the normal curve at that point. Since the area under a continuous distribution is always greater than 0, the probability of a specific value (A) is not 0.
The probability of a range of values (D) is calculated by subtracting the area under the normal curve to the left of the lower value, from the area under the normal curve to the right of the higher value. This calculation would produce a value greater than 0.
The probability of values greater than a given number (B) is calculated by subtracting the area under the normal curve to the left of the given number, from the area under the normal curve to the right of the given number. This calculation would produce a value greater than 0.
The probability of values less than a given number (C) is calculated by subtracting the area under the normal curve to the right of the given number, from the area under the normal curve to the left of the given number. This calculation would produce a value greater than 0.
Finally, the probability of values less than one number or greater than another number (E) is calculated by subtracting the area under the normal curve to the left of the lower number, from the area under the normal curve to the right of the higher number. Again, this calculation would produce a value greater than 0.
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If 14 more than the product of -3 and a number x
is less than 56, which values could represent x?
Check all that apply. Write and solve the inequality.
-17
-14
■
-21
-2
-9
-15
bring the variable to the left side and bring all the remaining values to the right side.
How do you write a step-by-step inequality?Image search results for Write the inequality and solve it. -17 -14 ■ -21 -2 -9 -15
To fix an inequality, use these steps:
Step 1: Remove fractions by multiplying all terms by the fractions’ least common denominator.
Step 2 Simplify the inequality by merging like words on either side.
Step 3 Subtract or add amounts to get the unknown on one side and the digits on the other.
In algebra, the letter “x” is frequently used to represent an unknown value. It is referred to as a “variable” or “unknown” at times. X is a variable in x + 2 = 7, but we can deal with it.
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A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
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Why is there a horizontal asymptote?
The reason behind horizontal asymptote is defined as the end behavior of the function.
The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.
Here we need to list down the reason behind horizontal asymptote.
As we all know that the horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. Here we also know that the slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.
Therefore, through the definition we know that the horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide.
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Solve for x 3 /11 = x /3 Give your answer as a fraction in its simplest form.
Answer: x 33/5
Step-by-step explanation:
Answer: 9/11
Step-by-step explanation:
Step 1: Cross-multiply.
3/11 = x/3
(3)*(3) = x*(11)
9 = 11x
Step 2: Flip the equation.
11x = 9
Step 3: Divide both sides by 11.
11x/11 = 9/11
x = 9/11
heeeeeeeeeeeeeeeeelp
Answer:
well i know 3 is the lowest but i don't know how high it goes.
Range is where the graphs highest and lowest.
Step-by-step explanation:
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34,590 rounded to the nearest ten?
Answer:
34,600
Step-by-step explanation:
Answer:
30,000
Step-by-step explanation:
34,590 rounded to the nearest tenth is 30,000
what is the value of 5h(-2)+3g(0)?
Answer:
-32Step-by-step explanation:
At x = -2, the h is calculated using the second piece::
h(-2) = (-2 + 3)(-2 - 2) = -4At x = 0, the g is calculated using the first piece:
g(0) = (0 + 1)² - 5 = 1 - 5 = -4The value of the given expression is:
5h(-2) + 3g(0) = 5(-4) + 3(-4) = -32How do you find the two missing sides of an acute triangle?
Using the Pythagorean Theorem (a2 + b2 = c2), plug in the known side lengths to solve for the two unknown sides of an acute triangle.
1. Identify the two known side lengths of the triangle.
2. Plug the known side lengths into the Pythagorean Theorem equation (a2 + b2 = c2).
3. Solve for the two unknown sides of the triangle.
4. The two unknown sides are the lengths of the missing sides of the triangle.
5. To solve for the unknown side lengths, first, calculate the hypotenuse (the longest side) by finding the square root of the sum of the squares of the two shorter sides.
6. Then, calculate the shorter sides by subtracting the square of the hypotenuse from the sum of the squares of the two shorter sides.
7. Finally, use the Pythagorean Theorem to calculate the missing side lengths.
8. The two missing side lengths will be the unknown side lengths of the triangle.
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Given v^2 = u^2 − 2as. Solve for u, when v = 10, a = 5 and s = 2.
Answer:
u ≈ 11
Step-by-step explanation:
10² = u² - 2(5)(2)
100 = u² - 20
120 = u²
u = [tex]\sqrt{120}[/tex]
u = [tex]\sqrt{4}[/tex][tex]\sqrt{30}[/tex] = 2[tex]\sqrt{30}[/tex] which is 10.95
heyy! i’ll give brainliest please help.
Answer:
The answer is a "Weather occurs because the climate is costantly changing"
Answer:
A (climate is the trend in weather over a long period of time)
Step-by-step explanation:
2 The test statistic in a two-tailed test is z=-2. 75 use a 0. 05 significance level to find the P value and state the conclusion about the null hypothesis
The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.
What Is Two-Tailed Test?A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.
A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.
It is employed in testing the null hypothesis and determining statistical significance.
The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.
Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.
How to calculate the p-value?
Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.
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How to find a side length of a right triangle with an angle and a side?
Using trigonometric functions, we can find a side length of a right triangle with an angle and a side.
What is the trigonometric ratio?Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).
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please awnser the question below
The slope-intercept forms for the graphs 5, 6, 7, and 8 are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, and y = 25x respectively.
What is slope-intercept form?
The line with m as the slope, m and b as the y-intercept is the graph of the linear equation y = mx + b. The values of m and b are real integers in the slope-intercept form of the linear equation.
First, find out the y-intercept(s).
The y-intercepts are the starting point of the lines in the graph.
For graph number 5, the starting point is 6.
For graph number 6, the starting point is 150.
For graph number 7, the starting point is 20.
For graph number 8, the starting point is 0.
Now find the slopes.
For graph number 5, the line goes down 1 unit and moves to the right 2 units, so the slope would be -1/2 (rise/run).
For graph number 6, the line goes up 100 units and moves to the right 2 units, so the slope would be 100/2 (rise/run) or 50.
For graph number 7, the line goes up 10 units and moves to the right 3 units, so the slope would be 10/3 (rise/run).
For graph number 8, the line goes up 25 units and moves to the right 1 unit, so the slope would be 25/1 (rise/run) or 25.
Then plug into the slope-intercept form : y = mx + b.
Where, m is slope and b is the y-intercept.
Graph 5: y = (-1/2)x + 6.
Graph 6: y = 50x + 150.
Graph 7: y = (10/3)x + 20.
Graph 8: y = 25x + 0 or y = 25x
Therefore, the equations are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, y = 25x.
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What is the exponential regression equation that fits these data?
х
у
-4
0.025
-3
0.075
-2
0.25
-1
0.70
0
3
1
8
2
20
3
60
4
160
A. y= 4.90x2 + 14.44x - 4.69
B. y = 3.02 · 2.26%
C. y = 2.01 • 3.80%
D. y = 2.26. 3.02%
Answer: it is y=2.26x3.02^x
Step-by-step explanation:
Option D is correct.
What is exponential regression?
An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data.
The general form for the exponential regression equation[tex]y = ae^{bx}[/tex]
According to the question
We have a data.
Let the exponential regression equation be [tex]y = ae^{bx}[/tex]
Take two values of x and y from the given data for finding the value of a and [tex]e^{b}[/tex].
substitute y = 0.025 and x = -4 in [tex]y = ae^{bx}[/tex] we get
[tex]0.025 = ae^{-4b}...(1)[/tex]
similarly ,substitute y = 0.075 and x = -3 in [tex]y = ae^{bx}[/tex] we get
[tex]0.075 = ae^{-3b} ....(2)[/tex]
from equation 1 and 2
[tex]\frac{0.025}{0.075} = \frac{ae^{-4b} }{ae^{-3b} }[/tex]
⇒[tex]\0.333 = e^{-b}[/tex]
⇒[tex]ln(o.33) = -b[/tex]
⇒[tex]-(1,1086) = -b[/tex]
⇒ b = 1.1086
Therefore,
[tex]e^{b} = (2.718)^{1.1086} = 3.0041[/tex]
and substitute b = 1.1086 and [tex]e^{b} = 3.0041[/tex] in either equation 1 or 2, we get
a = 2.2
Thus, the exponential regression equation will be
[tex]y = (2.2)3.041^{x}[/tex]
Hence, option D is the correct one.
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Jennifer earned $1000 babysitting over the summer. She spent $250 of her earnings on new clothes. What percent of her earnings did she spend on new clothes?
Answer:
25%
Step-by-step explanation:
she earned $1,000
she spent $250
250/1000 = 0.25
0.25 x 100 = 25%
Answer:
[tex] \frac{250}{1000} \times \frac{100}{1} [/tex]
[tex] = 0.25 \times 100 \\ 25\%[/tex]
complete the square to find the vertex of the parabola.
Answer:
y = (1/4)(x - 6)² + 8
Step-by-step explanation:
x² - 4y - 12x + 68 = 0
put in standard form
-4y = -x² + 12x - 68
4y = x² - 12x + 68
y = (1/4)(x² - 12x + 68)
use 1/2 the x coefficent, (-12/2 = -6), as the complete the square term
y = (1/4)(x - 6)² + 68/4 - (1/4)(-6)²
y = (1/4)(x - 6)² + 17 -9
y = (1/4)(x - 6)² + 8
Answer:
The answer would be (6,8)
Step-by-step explanation:
You welcome fill in 6 then 8 .
what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
Please help I have a learning disablity
Find the value of x that makes a true statement.
24 + x = 24
x =
Answer:
24 + x + 24
X is 0
Answer: substract 24 from both sides
then x = 0
Step-by-step explanation:
Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.
Yes Jerome's sister is correct.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here:
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Drink mix 3 6 9 12 15
water cups 8 16 24 32 40
we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.
Hence, The complete table is shown above.
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