Answer:
5 terms
Step-by-step explanation:
Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.
1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005
5ⁿ⁺¹ (n+1)! ≥ 200,000
Use trial and error to find the value of n (notice that n starts at 0).
n = 0, 5ⁿ⁺¹ (n+1)! = 5
n = 1, 5ⁿ⁺¹ (n+1)! = 50
n = 2, 5ⁿ⁺¹ (n+1)! = 750
n = 3, 5ⁿ⁺¹ (n+1)! = 15,000
n = 4, 5ⁿ⁺¹ (n+1)! = 375,000
n = 4 is the fifth term. So it takes 5 terms.
Which of the following points would fall on the line produced by the point-slope form equation y + 12 = 3(x - 4) when graphed
Answer:
where r the points??
Step-by-step explanation:
give them atleast to find the ans.
Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are parallel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7
Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
simplify the radical of 200 squared
Answer:
The answer is 10√2.
Step-by-step explanation:
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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Find the 1. domain2. range,3. x-intercepts, 4. y-intercepts5. the rate of change on |-1,4|6.find the interval(s) where the graph is increasing7. find the interval(s) where the graph is decreasing8.find the interval(s) where the graph is positivehow do i solve this problem
We are given a graph and asked to find the following
1. Domain:
The domain is all the possible values of input (x)
From the graph, we see that the domain is from -4 to 4
\(domain=(-4,4\rbrack\)Please note that 4 is included (since the dot is solid)
2. Range:
The range is all the possible values of output (y)
Please answer this correctly
Answer:
1/4
Step-by-step explanation:
The probability of landing on an odd number is 2/4.
The probability of landing on a number greater than 5 is 2/4.
2/4 × 2/4
4/16 = 1/4
Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log4 (6(5 + 2x)). Make sure
to use parenthesis around your logarithm functions log(x + y).
\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .
What are logarithms ?Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.
The most common types of logarithms are the base 10 common logarithm, the base 2 binary logarithm, and the base e ≈ 2.71828 natural logarithm.
Calculationsthe product rule for logarithms is
\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\) for b > 0
now ,
\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)
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2 dived by 2/3 hellllp
Answer:
\(2 \div \frac{2}{3 } \\ 2 \times \frac{3}{2 } \\ = 3\)
I am sure of my answer.
PLEASE MARK ME BRAINLIEST.HELP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES DEEPLY APPRECIATED
Answer:
9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.
10) both are fruits, both are a similar size.
11) both are animals, though the "41 animals" isn't specified to which animal they are.
12) both are blocks
13) both are cars, both have colors
14) both are types of people with different types of hair colors
3
(3x²y5) ³
27x5y³
9x5y8
27x6y¹5
15
9x6y15
\((3x^2 y^5)^3\implies \left( 3^3 x^{2\cdot 3} y^{5\cdot 3} \right)\implies 27x^6 y^{15}\)
b. Find the value of m and n
Answer:
n = 45
m = 135
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
180 - 55 - 80 = 45
m = the sum of 55 + 80
n= 45°;
m= 135.
Step-by-step explanation:1. Find the value of n.The sum of all interior angles of a triangle must equa 360°. Hence, the value of n is given by the following expression:
\(n+55+80=180\\ \\n=180-55-80\\\\ n=45\)
2. Find the value of m.Since "m" and "n" are opposites angles and, since there's a straight line adjacent to them, the sum of m and n should equal 180 (check the attached image). Find m with the following expression:
\(45+m=180\\ \\m=180-45\\ \\m=135.\)
Find a polynomial f(x) of degree 4 that has the following zeros.
-3, 4, 0, 8
Leave your answer in factored form.
f(x) = 0
Polynomial of degree 4 in factored form is x(x+3)(x-4)(x-8) = 0
The Standard form of polynomial with degree 4 is ax⁴ + bx³ + cx² + dx + e
Zeros of the polynomial is the points where the polynomial becomes zero.
According to the question,
The zeros of the polynomial are -3 , 4 , 0 , 8
Let equation of polynomial f(x) be
f(x) = ax⁴ + bx³ + cx² + dx + e ------------------(1)
Sum of zeros = -b/a = -3 + 4 + 0 + 8
= 9
Sum of product of two zeros = c/a = (-3× 4 ) +(0 × 4) + (0 × 8) + (8× -3)
= -12 + 0 + 0 -24
= -12 - 24
= -36
Sum of product of sum of three zeros = -d/a = ( -3×4×0) + ( 4×0 ×8 ) + (0×8×-3) + (-3×4×8)
= 0 - 96
= -96
Product of all four zeros = e/a = (-3×4×0×8)
= 0
So, b = -9 , c =-36 , d = 96 and e = 0
Substituting value in equation (1),
Hence , the required polynomial = x⁴ -9x³ -36x²+96x
Factored form ,
x⁴ -9x³ -36x² +96x = 0
=> x(x³ - 9x² - 36x + 96) = 0
=> x(x+3)(x-4)(x-8) = 0
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Answer please please plaease
Answer:
I might be wrong on this but I think the answer is C)
Step-by-step explanation:
Step-by-step explanation:
Option → B
Because, the domain has two ranges and it doesn't represent a function.
Enter the correct value so that each expression is a perfect square trinomial.
x2 – 10x +
Tom bought a comic book for $5 at a discount of 20%. How much did the comic book
cost originally?
Answer:
0.4cents
Step-by-step explanation:
-3+4|2x-5|=14solve the equation
then
\(\begin{gathered} 2x-5=\frac{17}{4} \\ 2x-5+5=\frac{17}{4}+5 \\ 2x=\frac{37}{2} \\ \frac{2x}{2}=\frac{37}{2}\frac{\cdot}{\cdot}2 \\ x=\frac{37}{4} \end{gathered}\)answer: x = 37/4 and x = 3/8
8+8?
Pls help will mark you or whatever
Answer:
8+8=16
Step-by-step explanation:
Lets say you have 8 apples and your friend gives you 8 more apples. So, you count 9,10,11,12,13,14,15,16 which was 8 times.
Hope this helps.
Help needed ASAP!! I will give brainliest! (You don’t need to plot the graph)
Answer:
first one y: -3, 0, 3, 6, 12
second one y:5, 2, 0, 2, 5
Step-by-step explanation:
for the first one the equation is y=3x
so when it goes as x:-1, 0, 1, 2, 4
so you should multiply each number by 3 as the equation does
(just replace each number by x in the equation)
so y: -3, 0, 3, 6, 12
next one: equation is y=\(x^{2}\)+1
so do the same as up there: replace x with every number
x:-2, -1, 0, 1, 2
so y will be
y:5, 2, 0, 2, 5
You spend $44 on a game, receive $30 for painting a fence, and give $5 to your friend. You have $32 left.
How much money did you start with?
a) $74
bj $37
c) $51
d) $39
Answer:
$51
Step-by-step explanation:
32+5+44
81-30
$51
one angle of parallelogram measures 140. What are the measures of the other three angles in the parallelogram?
According to the provided statement, the parallelogram's other three angles' measurements are 40°,140°,40°
Trapezoid or parallelogram: which is it?It is impossible for a trapezoid to be a parallelogram. Whereas a parallelogram has two sets of parallel sides, a trapezoid only has one pair. An object with two pairs of two edges is referred to as a parallelogram. All rhombuses are parallelograms because their opposite sides are all the same length.
A parallelogram's sum of neighboring angles is 180°.
So,
140+ x° = 180°
x=40°
In a parallelogram, the opposing angles are equal.
So, if a parallelogram, the angles are
140°,40°,140°,40°
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Find the volume of a box that is 2 in x 4 in x 3 inch
Answer:
24in
Step-by-step explanation:
2*3*4= 24
find the slope of the line that passes through (10,7) and (8,17)
-5 because there are 5 points in between those points if it were to be on a graph.
Is 12+5(2+y) and 5y+22 equivalent
Answer:
22 + 5y
Step-by-step explanation:
Yes they are
5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.
Two companies A and B are offering 70 and 50 products respectively. Company A is offering 40 software products and 30 hardware products. Company B is offering x hardware products and y software products to be determined. If a product is selected at random, what is the probability that (a)This product is a hardware product given that is from company B? (in terms of y) (b)This product is a hardware product given that is from company A? (C) For what values of y will the probability in part (a) be greater than the probability in part (b)?
The probability that the selected product is a hardware product given that is from company B is x/50.
The probability that the selected product is a hardware product given that is from company A is 3/7.
The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Company A:
Total product = 70
Software product = 40
Hardware product = 30
Company B:
Total product = 50
Software product = y
Hardware product = x
The probability that the selected product is a hardware product given that is from company B.
= x/50 ____(1)
The probability that the selected product is a hardware product given that is from company A.
= 30/70
= 3/7 _____(2)
From (1 ) and (2) we get,
x/50 > 3/7
x > 3/7 x 50
x > 21
Thus,
The probability that the selected product is a hardware product given that is from company B is x/50.
The probability that the selected product is a hardware product given that is from company A is 3/7.
The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).
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Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata
Recall the double angle identity:
\(\sin2\theta=2\sin\theta\cos\theta\)
With \(\theta\) measuring between 0º and 90º, we know \(\cos\theta>0\). So from the Pythagorean identity, we get
\(\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5\)
Then
\(\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}\)
Answer:
C
Step-by-step explanation:
Edge2021
The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field
Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
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based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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Allie had four and three-fourths tubes of purple paint. She used two and one-fourth tubes. Later, she found three and three-eighths more tubes. How many tubes of purple paint does she have now?
five and thirteen over twenty-four tubes
five and nine over twenty-four tubes
five and seven over eight tubes
five and one over eight tubes
By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.
How many tubes of purple paint does she have now?We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.
So at this point we need to take the difference between the two mixed numbers, we will get:
(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)
(4 - 2) + (3/4 - 1/4) = 2 + 2/4
2 + 2/4 = 2 + 1/2
Then she founds (3 + 3/8) more. Now we need to add that:
2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)
(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)
5 + (4/8 + 3/8) = 5 + 7/8
She has 5 + 7/8 tubes of purple paint.
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A square is inscribed in a circle. If the area of the square is 9 in.^2 , what is the ratio of the circumference of the circle to the perimeter of the square?
Answer:
π√2 : 4
Step-by-step explanation:
if area of square is 9, each side = 3.
radius of circle = √[(3/2)² + (3/2)²]
= (3√2)/2.
Diameter = 2 X radius = 3√2.
Circumference = π X D
= 3π√2
perimeter of square = 3 + 3 + 3 + 3 =12.
ratio of circumference to perimeter is
3π√2 : 12
= π√2 : 4