Find the 91st term of the arithmetic sequence 5, -14, -33, ...
Answer:
a(91) = -1705
Step-by-step explanation:
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is a(91) = 5 - 19(91 - 1), or
a(91) = 5 - 1710, or
a(91) = -1705
The 91st term of the arithmetic sequence is -1705.
What is Arithmetic progression?An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.
Given that an arithmetic sequence 5, -14, -33, ...
nth term of an AP is, a(n) = a + (n-1)d
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is
a(91) = 5 - 19(91 - 1)
a(91) = 5 - 1710
a(91) = -1705
Hence, The 91st term of the arithmetic sequence is -1705.
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Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
The population P of birds in an area is modeled by the exponential model
P(t) = 30e-95t where t represents time in years.
Is the population of birds increasing or decreasing?
a. Increasing
b. Decreasing
SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.
a) If you scored 950, what would be your percentile?
b) If you scored 1100, what percent of students scored better than you?
c) If your percentile was 92%, what did you score on the SAT?
Answer:
My sister is getting ready to prepare, I would say 1100 it means you are above.
Step-by-step explanation:
What is the area of the regular pentagon with 5 inch sides and an apothem that measures 4.2 inches?
Answer:
43.01m^2
Step-by-step explanation:
[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]
This is the formula for a pentagon
Answer:52.2in
Step-by-step explanation:
Did it on a test and got it correct
1/3 x 1 1/4 as a fraction
Answer:
11/12
Step-by-step explanation:
1
3
(
11
4
)
=(
1
3
)(
11
4
)
=
(1)(11)
(3)(4)
=
11
12
(Decimal: 0.916667)
PLease mark me brainllest!!!
The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Calculation of the fraction:Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]
We have to multiply these two in fractions
So,
[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]
Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]
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Given data set:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
Find the mean, median, and mode of the data set.
Answer:
see below
Step-by-step explanation:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
First put the numbers in order from smallest to largest
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
The mean is adding all the numbers and dividing by the number of numbers
( 1+1+ 2+6+6+ 7+ 7+ 7+ 8+ 9+ 12 )/11
66/1 =6
The mean is 6
The median is the middle
There are 11 terms
11/5 = 5.5 so 6 is the middle number
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
7 is the median
Mode is the most often
7 appears three times so it is the mode
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
A surgical technique is performed on eight patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work.
Answer:
20.31%
Step-by-step explanation:
a) Construct a binomial distribution.
P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2 and n = 8
b) Find the
mean = np = 8%2A.8+=+6.4
variance = npq = 6.4%2A.2+=+1.28
standard deviation of the probability distribution.sqrt%281.28%29
c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 = .2936 or 29.36%
d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)
= 1 - .1678 - .3355 - .2936 = .2031 or 20.31%
HOPE THIS HELPS PLZ MRK BRAINLIEST
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
wesley. is very particular about his salad He must have 10 leaves of lettuce for every 4 pieces of carrots If he has 50 leaves of lettuce in his salad how many pieces of carrots will he have
Answer:
20 carrots
Step-by-step explanation:
4/10
x/50
10 x 5 = 50
4 x 5 = x
x = 20
20/50
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.
A. (x - 5)2 + (x - 2)2 = V1
B. (x + 5)2 + (x - 2)2 = 19
C. (x + 2)2 ++5)= 19
D. (+52 + (y + 2)2 = 19
Find the range of the data in the box plot below.
pencils
PLZ ASAP PLZ ASAP
Answer:
12
Step-by-step explanation:
the range is = maximum value given - the minimum value given
the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.
the range would then be 12 - 0.
Help me solve this.50+(3x+4)
Answer:
50+4=54 and you can't add a number with a letter to th number that doesn't so it is 54+3x.
Step-by-step explanation:
Answer:
54+3x
Step-by-step explanation:
Hope this helps! Have a nice day!
please help , 20 points
Answer:
C
Step-by-step explanation:
10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1
just help me plssssssssss
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
Let b = 12,
Let c = 13,
[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5feet[/tex]
Next you have to find the perimeter of triangle by adding all the sides together :
[tex]perimeter = 5 + 12 + 13[/tex]
[tex]perimeter = 30feet[/tex]
Identify the different methods used by the U.S. to deal with international 100 points
conflicts. Cite evidence from the lesson activities to explain each
method. *
The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.
Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
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Help me please. Im giving 20 points
A telephone pole is 8 meters tall and a pigeon is standing on the ground 6 meters
from the pole. If the pigeon flies from where it is standing to the top of the
telephone pole, how far will it fly?
Your answer will be 10m.
We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.
a² + b² = c²
(6)² + (8)² = c²
36 + 64 = c²
100 = c²
10 = c
I hope this helps! Let me know if you have any questions :)
Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67
Answer: A. 343.08
Step-by-step explanation:
with the property tax rate and monthly tax payment is what were looking for
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft
Answer:
4
Step-by-step explanation:
Plz I need help with this problem. I'm dumb
Answer:
V_rectangular_box = width x height x length
V = V_big_one + V_small_one
= (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)
Answer:
fjdjdkhfidkfjsidmi
Step-by-step explanation:
irufusidjf9sodf8wpud8dkdhd8idhddh
someone help ples alk i need is the first two pleassss
Answer:
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Step-by-step explanation:
!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9
Answer:
the factors of 63 are:
1,3,7, 9, 21, 63
D. 3, 7, 9, 21, 63
Step-by-step explanation:
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP
The graph of the absolute value parent function will be V-shaped. Then the correct option is C.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The graph of the absolute value parent function will be V-shaped.
Then the correct option is C.
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Answer:
A,C,D
Step-by-step explanation:
just took the test
In the middle of a basketball court, the circle has a diameter of 5 feet. If
Mrs. Gilbertson's daughter walked around the circle 12 times, how far did
she walk? Use 3.14 for TT. *
Answer:
The distance that Mrs. Gilbertson's daughter walked was 188.4 feet
Step-by-step explanation:
Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D
Where:
D = 5 ft
Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft
Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.
!! NEED RN, MARKING BRAINLIST !!
What is the value of x?
Answer:
5 sqrt(3)
Step-by-step explanation:
Since this is a right triangle
sin theta = opposite side/ hypotenuse
sin 60 = x /10
10 sin 60 = x
10 sqrt(3) /2 =x
5 sqrt(3) =x
Answer:
5√3
Step-by-step explanation:
The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:
sin 60 degrees = opp side / hypotenuse = x/10.
Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2 = 5√3 (equal to the third answer choice).