The recursive formula is f(n+1)= f(n)-5.
What is recursive function?
Given sequence :
f(1)= 6, n≥1.
Let f(n) denote the nth term of the given sequence.
f(1)= 6
f(2)= 1 = f(1)-5
f(3)= -4 = 1-5= f(2) -5
f(4)= -9 = 1-10 = f(2)-10
and so on
Hence, the recursive formula is f(n+1)= f(n)-5.
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Simplify the expression. Write your answer as a power.
8¹⁰x8⁴
The simplified expression is
Answer:
[tex]8^{14}[/tex]
Step-by-step explanation:
When we multiply exponents with the same base, the product it the base to the power of the exponents added together. In this case, the base will remain as 8 and the exponent will be 10 + 4 = 14. Therefore, the answer is [tex]8^{14}[/tex].
Answer:
[tex]\large\boxed{\sf \sf 8^{14}}[/tex]
Explanation:
[tex]\rightarrow \sf 8^{10} \ \ x \ \ 8^4[/tex]
apply exponent rule: [tex]\sf \bf a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]\rightarrow \sf 8^{10+4}[/tex]
[tex]\rightarrow \sf 8^{14}[/tex]
HELP PLEASEEE!!!!1!!!!
Answer: 1. Dilation.
Step-by-step explanation: All of these transformations do not change the shape's form except for a dilation. It is nessacary to change the shape, so it is a dilation.
Please help worth
70 points
will mark branlest
Answer:
CE = 3.2 cm
DH = 4.5 cm
Explanation:
Given:
MNPR ≅ CEDH
≅ - means approximately equal
Lengths of the shape:
MN = CE = 3.2 cm
NP = ED = 6.5 cm
PR = DH = 4.5 cm
RM = HC = 9 cm
Find the gradient of the curve y =2x³-7x+4when x=-2
By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.
How to find the gradient of a functionA gradient is a generalization of the tangent curve used for multivariate function, that is, a function with more than one variable. In this case we have a function with one variable, which means that the gradient is equal to the slope:
[tex]\nabla f = \frac{df}{dx}[/tex] (1)
Now we proceed to calculate the gradient of the curve:
[tex]\nabla f = 6\cdot x^{2}-7[/tex]
[tex]\nabla f = 6\cdot (-2)^{2}-7[/tex]
[tex]\nabla f = 17[/tex]
By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.
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8. Jaime has 20 min to get to her after- school job. Despite her best efforts, she is
frequently late and has recorded her travel time (in minutes) as {18, 20, 22, 27, 16, 23, 25,
26, 19, 28). Her boss has told her that unless she shows more consistency, she will lose her
job. Over the next two weeks, Jaime records her travel time: (22, 20, 22, 24, 24, 23, 25, 21,
19, 21). Should Jaime lose her job? Use statistics (mean and standard deviation) to justify
your answer. [8 marks]
The calculation of the mean shows that Jamie should not lose her job as she was faster after the talk from the boss.
How to calculate the mean?The mean of the travel time in the first scenario will be:
= (18, 20, 22, 27, 16, 23, 25,26, 19, 28)/10
= 224/10
= 22.4
She she shows consistency, the mean will be:
= (22, 20, 22, 24, 24, 23, 25, 21, 19, 21)/10
= 221/10
= 22.1
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You have a 3-gallon and a 5-gallon jug that you can fill from a fountain of water. The problem is to fill one of the jugs with exactly 4 gallons of water. How do you do it?
Answer:
See below
Step-by-step explanation:
Fill the 5 and pour into the 3 ....this will leave 2 gal in the 5 bucket
empty the 3 bucket and put that 2 gallon in to it.....
then fill the 5 bucket again......pour 1 gallon into the 3 gallon bucket to fill it....then there will be 4 gallons left in the 5 bucket
11+7+(75÷(16+9))+4x(20÷10)+(28-27)
by the way the x in 4x is not a variable it means multiplication
Answer:
30
Step-by-step explanation:
Independent Assessment 2
Directions: Use the data in the line graph below to answer the following questions.
Pieces of Bibingka Sold Per Day
60
50
40
30
20
10
0
Monday
Tuesday Wednesday Thursday
1. How many bibingka were sold on
Tuesday and Wednesday?
2. What days have the same number of
bibingka sold?
3 How many more bibingka were sold
on Monday than on Wednesday?
4. What is the average pieces of
bibingka sold for the first three days?
5. In your opinion, what other kind of rice
cake do you prefer to sell? Give your
reason
Pieces of Bibingka Sold
Friday
0000
Answer
Answer
Answer
Answer
Answer
Answer:
are you from Philippines?
Step-by-step explanation:
because I want to know gehe
Please Help I Don't Understand
In general, they're not similar.
In any triangle with side lengths a, b, and c, we have the aptly-named triangle inequality that says the largest side is no larger than the sum of the smaller sides. In other words, if a and b are both smaller than c, then
a + b ≥ c
Suppose x < 12. Then BC corresponds to either YZ or XY.
• If BC corresponds to YZ, then the triangles are similar if and only if
BC/YZ = AB/XY = AC/XZ
x/2 = 9/3 = 12/4 = 3 ⇒ x = 6
• If BC corresponds to XY, then triangle similarity means
BC/XY = AB/YZ = AC/XZ
x/3 = 9/2 = 12/4
but this fails because 9/2 ≠ 12/4 = 3.
Suppose x > 12. Then BC corresponds to XZ, and
x/4 = 12/3 = 9/2
but this also fails because 12/3 = 4 ≠ 9/2.
(We ignore the case of x = 12 because that would make ∆ABC isosceles, and ∆XYZ certainly is not.)
So ∆ABC and ∆XYZ are similar only if x = 6. Under this condition, similarity would follow from the SSS similarity theorem.
Complete the slope-intercept form of the linear equation that represents the relationship in the table
Answer:
y = 3x - 4
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
(Step 1)
Before you can determine this equation, you need to find the value of "m". Since you were given the value of two points, you can find this by using the point-slope form. The general structure of the point-slope equation is:
y₁ - y₂ = m(x₁ - x₂)
y₁ - y₂ = m(x₁ - x₂) <---- Point-slope equation
-1 - 8 = m(1 - 4) <---- Insert "x" and "y" values from table
-9 = m(1-4) <---- Simplify left side
-9 = -3m <---- Simplify inside parentheses
3 = m <---- Divide both sides by -3
(Step 2)
Now that you know "m", you can plug it and the "x" and "y" values of one point into the slope-intercept equation to find the value of "b".
y = mx + b <---- Slope-intercept equation
y = 3x + b <---- Plug 3 into "m"
-1 = 3(1) + b <---- Plug "x" and "y" values in
-1 = 3 + b <---- Multiply 3 and 1
-4 = b <---- Subtract 3 from both sides
(Step 3)
Now that you know that m = 3 and b = -4, you can substitute these values into the slope-intercept form to find your final answer. You can check your answer by plugging the "x" values from the table into the equation to verify that you get the correct "y" values.
y = 3x - 4
The input of a function can also be identified as the ____?
Answer:
Domain of the function
Step-by-step explanatio
Three times the sum of a number and 3 is 3 less than the number times 5. Find the
number.
Answer:
3 * (x + 3) = x * 5 - 3
What is the measure of AT in 0 below?
A
123
0
97⁰
T
ASAPP!!
If an angle is a central angle, meaning that it goes through the center, then its corresponding arc has the same measure.
AOT is a central angle, which means that AT will have the same measure.
AOT = 97, AT = 97
Answer: A, 97
Hope this helps!
An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once.
Match the outcome to its probability.
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) - 1/3
4. P(odd prime numbers) - 0
Step-by-step explanation:
Hope this helps
P(2 or 4) = 2/3
p(multiple of 2) = 1
p(multiple of 3) = 1/3
P(odd prime numbers) = 0
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
P(2 or 4) = (number of sides that have a value of 2 / total number of sides) + (number of sides that have a value of 2 / total number of sides) = 2/6 + 2/6 = 2/3
p(multiple of 2) = number of sides that are a multiple of 2 / total number of sides
6/6 = 1
p(multiple of 3) = number of sides that are a multiple of 3/ total number of sides
= 2/6 = 1/3
P(odd prime numbers) = number of odd prime numbers / total number of sides = 0
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PLEASE HELP THIS IS HARD
Don’t know how to solve
Answer:
Hi,
Step-by-step explanation:
I don't know the name in Enghish but in French it is "une règle de 3"
(may be linear rule)
arc length= 2*π*r/360*100=50*π/9
area= π*r²*100/360=250*π/9
this is a lot more clear
Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
a The values of increase when x increases.
b The value off when x = 5 is less than 1.
d
e The value of is never 0.
E
The value of f when x=-1 is a little less than 40.
The y-intercept of the graph off is at (0, 100).
From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.
What is the explanation for the above function?Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:
f(x) = 100 * [tex]e^{-x}[/tex]
Assuming x = -2, we'd have:
100 * 2.7182[tex]^{-2}[/tex]
= 271.82[tex]^{-2}[/tex]
= 0.00001353354
Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.
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kadeem has 58m of fencing to build a four-sided fence around a rectangular plot of land. the area of the land is 204 square meters. solve the dimensions of the field. (length and width)
The dimensions of the rectangular plot of the land is 17 × 12 square units.
What is perimeter?The perimeter of a shape is the distance around the shape. It is the total length of the shape's sides.
What is the formula for the perimeter of rectangle?Perimeter of rectangle = 2( length + width)
What is area?The area can be defined as the space occupied by a flat shape or the surface of an object.
What is formula for the area of rectangle?Area of rectangle = length × width
According to the given question.
Let the length and width of the rectangular plot be x and y respectively.
Kadeem has 58m of fencing.
⇒ Perimeter of the rectangular plot of land = 58m
⇒ 2(length + width) = 58
⇒ x + y = 29...(i)
Also, area of plot land = 204 square units.
⇒ x × y = 204
⇒ x × (29 - x) = 204
⇒ [tex]29x -x^{2} = 204[/tex]
⇒ [tex]x^{2} -29x + 204=0[/tex]
⇒ [tex]x^{2} -12x -17x +204=0[/tex]
⇒ [tex]x(x-12)-17(x -12)=0[/tex]
⇒ [tex](x -12)(x -17) = 0[/tex]
⇒ x = 12 or x = 17
When, [tex]x = 12[/tex]
[tex]y = 29-12 = 17m[/tex]
And when, [tex]x = 17[/tex]
[tex]y = 29 - 17 = 12m[/tex]
Hence, the dimensions of the rectangular plot of the land is 17 × 12 square units.
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Ms. Bell's mathematics class consists of 11 sophomores, 7 juniors, and 13 seniors. How many different ways can Ms. Bell create a 3-member committee of juniors if each junior has an equal chance of being selected?
Answer:
35 ways
Step-by-step explanation:
Seven juniors to choose three from
7 C 3 = 7! / ( 4! 3!) = 35
Look at the pattern below.
step 1 step 2 step 3 step 4
How many squares will be in the pattern at the 8th step?
Choose 1 answer:
8 squares
12 squares
B
There will be 36 squares in the 8th step of the pattern
How to determine the number of squares?The pattern and the squares are represented as:
Pattern Squares
1 1
2 3
3 6
4 10
This can be rewritten as:
Pattern Squares
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
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ASAP!
What is the value of x, given that the two prisms are similar?
5
20
2 25
1.5
A. 2
OB. 10
OC. 2.5
OD. 1.5
3
1
1
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,
Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2
Since the common ratio of every side is equal to 2, the value of x can be written as,
Common Ratio = 20/x = 2
20/x = 2
x = 10
Hence, the value of x is 10. Thus, the correct option is B.
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What is the sum of the first 6 terms of the sequence defined by an = 3n - 2?
Answer:
51
Step-by-step explanation:
when n=1
t 1=1when n=2
t2=4
as first term is 1 and second term is 4 so the common difference is 3 ,for 6 term if you put this in formula for sum to the n term you will get 51
t1 =1
d=3
n=6
than S6=51
Quadrilateral ABCD below is a parallelogram. Use the figure to select the best answer from the choices provided. If AD = 3x + 5, AB = 7x – 3, and BC = 8x – 10, what is the value of x? Select the best answer from the choices provided. A. 2 B. 3 C. 7 D. 8
Answer: 3
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so AD=BC.
[tex]3x+5=8x-10\\5=5x-1015=5x\\x=\boxed{3}[/tex]
Question 27(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of p in the equation p³= 8?
Op=√8
Op=3•√8
Op=2•√8
Op=√8
Answer:
Option 1 ========> p = ∛8
Step-by-step explanation:
In order to make p the subject we would need to cube root both sides and would therefore get :
∛(p³) = ∛8
p = ∛8
Just a side not but you wrote the first option wrong but it's fine as you attached an image.
Hope this helped and have a good day
The calculation p=∛8 can be used to find the value of p in the equation p³= 8
What is Expression?An expression is combination of variables, numbers and operators.
The given equation is p³= 8
p to the power of three equal to eight
p is the variable in the given equation
We have to find the value of p from the equation
Take cube root on both the side
∛ p³= ∛8
On left hand side the cube will be cancelled and left with p
p=∛8
Hence, p=∛8 calculation can be used to find the value of p in the equation p³= 8
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Expand and simplify
(5x + 2)(x + 2)
Answer:
5x²+12x+4
Step-by-step explanation:
5x²+10x+2x+4
5x²+12x+4
Answer:
[tex]5x^{2}+12x+4[/tex]
Step-by-step explanation:
Use the FOIL method to expand.
5x*x+
2*x+
5x*2+
2*2
which is
5x^2+2x+10x+2
combining the two x s we get
5x^2+12x+4
Darcy gave her nail technician a $5.10 tip. The tip was 15% of the cost of the manicure. Write an equation to find b, the cost of the manicure.
Question content area bottom
Part 1
If all percents are expressed as decimals, the equation enter your response here can be used to find b, the cost of the manicure.
(Use the operation symbols in the math palette as needed. Type an equation. Use whole numbers or decimals for any numbers in the equation. Do not simplify.)
Answer:
Let b the cost of the manicure
15% of b= 5.10$
15% × b= 5.10$
b= 5.10×100/15
b= 34$
Can you please help me with this
Answer:
dilation by a factor of 1/3 about the origin
Step-by-step explanation:
Each side of triangle B is 1/3 the length of the corresponding side of triangle A. This tells you dilation using a scale factor of 1/3 is involved.
Lines joining corresponding points of triangles A and B converge on the origin. This tells you the center of dilation is the origin.
The one transformation that maps A to B is ...
dilation by a factor of 1/3 about the origin
_____
Additional comment
No rotation, reflection, or translation are needed, since the triangles have the same orientation, and dilation fully accounts for their relative position.
Which of the following equations has infinitely many solutions?
A.
4x + 5(2x + 6) = 14x + 30
B.
5x + 2 = 2x + 6
C.
4(x + 5) + 2 = 6x + 4(x + 2)
D.
4x + 5 = 2
The equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30
How to determine the equation?An equation with infinitely many solutions is represented as:
ax + b = ax + b
This means that both sides of the equation must be the same.
Next, we test the options:
4x + 5(2x + 6) = 14x + 30
Open the bracket
4x + 10x + 30 = 14x + 30
Evaluate the like terms
14x + 30 = 14x + 30
Both sides of the equation must be the same.
Hence, the equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30
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Which of the following inequalities is graphed on the coordinate plane?
A. y > 30 +5
B. y ≤ 3r +5
C. y < 3x + 5
D. > 31 +5
Based on the scenario above, the inequalities that can be graphed on the coordinate plane is y < 3x + 5.
What is the inequalities about?In graphing inequalities, one can graph inequality on the coordinate plane.
Note that the solutions for a linear inequality can be seen in the area of the coordinate plane. The boundary line used are > ,<, ≥ and ≤.
Note also that the inequalities graphed on the coordinate plane known to be y < 3x + 5 is shown in the image attached. When you look at option A, B and D, you will see that they are incomplete and missing some values but option C gave the correct example of an inequalities.
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