Answer:
h(n) = -17·0.2^(n-1)
Step-by-step explanation:
The explicit formula for a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Your sequence h has first term a1 = -17 and common ratio r = 0.2. Then the explicit formula is ...
h(n) = -17·0.2^(n-1)
6th grade math :) help me please !
Answer:
a1- 2 terms
a2- 6x, 9y
a3- 6,9
b1-2 terms
b2- 7x, 12x
b3- 7,12
c1- 3 terms
c2- 5x^2, 2y, 3
c3- 5,2,3
Step-by-step explanation:
Using the unit circle, determine the value of cos(-150°).
Explanation:
The identity we'll use is cos(-x) = cos(x) for any value of x.
So cos(-150) = cos(150).
Then locate the angle 150 on the unit circle. The terminal point is [tex]\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)[/tex]
The x coordinate of this terminal point is the value of cos(150).
Answer:
Cos(-150°)=-√3/2
Step-by-step explanation:
-150° is found at the third quadrant so the cost value at third quadrant is negative
Cos(-150°)= -cos(30)=-cos(210)
Cos(-150°)=- (√3/2)
Cos(-150°)=-√3/2
Hope it helps
When would you need to arrange polynomials
Is the answer correct in this question
Answer:
Yeah, you got the answer right.
Step-by-step explanation:
What is the APPROXIMATE circumference of a circle with a radius of 9 inches? Use 3.14 for π. 28.3 in. 56.5 in. 254.34 in. 113.0 in.
Answer:
56.52 in
Step-by-step explanation:
Circumference Formula: C = 2πr
Since we are given radius r = 9, simply plug it into the formula:
C = 2π(9)
C = 18π
C = 56.5487
Answer:
56.5
Step-by-step explanation:
The circumference is the product of the diameter and PI
P = (9+9)*π = 18*3.14=56.52
In 1994 the city of Anoka had a population of 18,000 people. Since then the population has grown by 5.2% each year. In 1994 the city of Minneapolis had a population of 390,000 and has been decreasing by 2.3% each year. How many more people will be living in Minneapolis compared to Anoka after 25 years?
Answer:
After 25 years, Minneapolis will have 154,062 more residents than Anoka.
Step-by-step explanation:
First, let's write a function for each case.
For Anoka, the initial population is 18,000. The population grows 5.2% or 0.052 each year. Thus:
[tex]A(x)=18000(1.052)^x[/tex], where x represents the amount of years after 1994.
Inversely, for Minneapolis, the population decreases by 2.3% or 0.023. Another way to write this is that it in changes by 1-0.023 or .977 or 97.7%. Thus:
[tex]M(x)=390000(0.977)^x[/tex].
To find how many more people are living in Minneapolis than Anoka after 25 years, simply plug 25 into the functions and then subtract.
In Anoka, after 25 years, there will be:
[tex]A(25)=18000(1.052)^{25}\approx 63924[/tex] residents.
In Minneapolis, after 25 years, there will be:
[tex]M(25)=390000(.977)^{25}\approx217986[/tex] residents.
217986-63924=154,062 residents.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis? A. point U B. point V C. point W D. point X
Hey there! :)
Answer:
Point V.
Step-by-step explanation:
Given the coordinates of T at (-6.5, 1), U represents T before any reflections. (Helps to visualize this better)
Reflecting across the x-axis results in the sign of the y-coordinate changed. Point T after this reflection becomes (-6.5, -1).
Finally, reflecting across the y-axis will change the sign for the x-coordinate.
(-6.5, -1) becomes (6.5, 1). This is represented by point V.
For f(x) = 4x +1 and g(x) = x2 - 5, find (f-8)(x).
Answer:
(f-g)(x) = -x² +4x +6
Step-by-step explanation:
We assume you want to find (f -g)(x).
[tex](f-g)(x)=f(x)-g(x)=(4x+1)-(x^2-5)\\\\\boxed{(f-g)(x)=-x^2+4x+6}[/tex]
8÷2 2/9 −2 11/15 I need help and this is a whole equation I need this ASAP
Answer: (1 and 22/45)
Step-by-step explanation:
I guess that we are working with mixed numbers here, and we have the equation:
(8÷2 2/9) − (2 11/15)
first we solve: 8÷2 = 4.
Now, we can write this as:
(4 + 2/9) - (2 + 11/15)
(4 - 2) + (2/9 - 11/15)
now, 9*5 = 45
15*3 = 45
then we can write the right side as: 2/9 - 11/5 = 10/45 - 33/45 = -23/45
2 - 23/45
But in mixed numbers we also need to work with a positive rational, then we have:
2 - 23/45 = 1 + 1 -23/45 = 1 + 45/45 - 23/45 = 1 + 22/45
then the solution is:
(1 and 22/45)
Evaluate the expression x to the power of 2 ⋅x to the power of 1 for x =9 = what
Answer:
729
Step-by-step explanation:
Replace x with 9. [tex]9^{2}[/tex] which is 9*9=81 than [tex]9^{1}[/tex] which is 9*1=9. Simplify 81*9=729.
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
Answer:
1.5d+150
Step-by-step explanation:
125 since it increased by 25%. look at the problem below:
125( 1 + 0.01d) then you plug those numbers in and theres your answer :00!!
sammy-6th grade-
The algebraic expression is 1.5d+150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 120 is increased by d % and increased by 25% then the expression will be written as below.
E = 1.5d+150.
Hence the algebraic expression is 1.5d+150.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
The price of a gallon of unleaded gas has dropped to 2.82 today. yesterday's price was 2.89. find the percentage decrease. round to the nearest tenth
Answer :
percentage decrease = {(2.89-2.82)/2.89}x100 = 2.42%
Factor the expression x2 − 5x − 24. A. (x − 4)(x + 6) B. (x − 3)(x + 8) C. (x + 3)(x − 8) D. (x + 4)(x − 6)
Answer:
C. (x + 3)(x − 8)
Step-by-step explanation:
We need two numbers that add to -5 and multiply to -24.
They are -8 and 3 since -8 + 3 = -5, and -8 * 3 = -24.
x^2 - 5x - 24 = (x - 8)(x + 3)
what is -34/15 in decimal form
Answer:
2.26 repeating
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
hope this helpes
be sure to give brainliest
Determining Key Aspects of a Quadratic Function
Use the drop-down menus to describe the key aspects of the function f(x) = -X2 - 2x - 1.
The vertex is the
The function is increasing
The function is decreasing
The domain of the function is hs
The range of the function is
Answer:
Step-by-step explanation:
The vertex can be located most easily by completing the square of
f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1). The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1. The corresponding y-value is 0. Vertex is at (-1, 0).
The function is increasing for x < -1 and decreasing for x > -1.
The domain of the function is "all real numbers."
The range is (-infinity, 0)
solve using dristibutuve law (35×4+35×6)
Answer:
Step-by-step explanation:
Distributive property = a*(b + c) = a*b +a*c
35 * 4 + 35 * 6 = 35 *( 4+6)
= 35 * 10
= 350
Answer:
a(b + c) = ab +ac
take common out
35(4+6)
an then 35 into 10
=350
Step-by-step explanation:
Which list orders the numbers from least to greatest
Answer:
3rd option
Step-by-step explanation:
-5 is smaller than -2.
-2 is smaller than 1
1 is smaller than 3
Answer:
the 3 one
Step-by-step explanation:
the larger the negative number,the higher up the number line it goes
so -5 is the greatest negative number,-2 the next, the 1 and 3
a triangle with all sides of equal length is a ------ triangle
Answer:
equilateral
Step-by-step explanation:
There are various types of triangles out there, each with its own unique characteristics that distinguish it from others.
One such triangle is called an equilateral triangle. Essentially, like its name suggests, this kind of triangle has all three angles equal (they're actually all equal to 60 degrees). Additionally, this triangle has all three sides that same, as well.
Thus, the answer is equilateral.
Just for future reference, here are a couple more types of triangles:
- Isosceles
These triangles have at least 2 sides equal to each other; in other words, an equilateral triangle is an example of an isosceles triangle. In addition, the two angles of an isosceles triangle opposite to the two equal sides are themselves congruent.
- Scalene
These triangles have all three sides different, which in turn means that all three angles are distinct.
- Acute
These triangles' angles are all less than 90 degrees. That's what "acute" means: less than 90 degrees.
- Obtuse
These triangles have exactly 1 angle that is larger than 90 degrees.
- Right
These triangles have exactly 1 angle that is equal to 90 degrees.
~ an aesthetics lover
Answer: Equilateral triangle
Step-by-step explanation: A triangle with 3 congruent sides is called an equilateral triangle or stated another way, an equilateral triangle is a triangle in which all 3 sides have the same length.
I have attached an example of this below.
make h the subject of the formula A=(1/2)ah-(1/2)bh
Answer:
h = A ÷ ½(a - b)
Step-by-step explanation:
A = ½ah - ½bh
A = ½h( a - b)
Divide both sides by the coefficients of h
A ÷ ½(a - b) = h
Lisa drew three circles to form a figure. The areas of the circles were in the
ratio 1:4:16. She then shaded some parts of the figure as shown.
What fraction of the figure was shaded?
Answer:
Fraction of the figure shaded = [tex]\frac{13}{16}[/tex]
Step-by-step explanation:
Ratio of the areas of the given circles are 1 : 4 : 16
Then the radii of the circles will be in the ratio = [tex]\sqrt{1}:\sqrt{4}:\sqrt{16}[/tex]
= 1 : 2 : 4
If the radius of the smallest circle = x units
Then the radius of the middle circle = 2x units
and the radius of the largest circle = 4x units
Area of the smallest circle = πx²
Area of the middle circle = π(2x)² = 4πx²
Area of the largest circle = π(4x)²= 16πx²
Area of the region which is not shaded in the middle circle = πx²(4 - 1)
= 3πx²
Therefore, area of the shaded region = Area of the largest circle - Area of the region which is not shaded
= 16πx² - 3πx²
= 13πx²
Fraction of the figure which is not shaded = [tex]\frac{\text{Area of the shaded region}}{\text{Area of the largest circle}}[/tex]
= [tex]\frac{13\pi x^{2} }{16\pi x^{2} }[/tex]
= [tex]\frac{13}{16}[/tex]
Need help with question
Answer:
x-6+x
2x-6=14
2x=20
x=10
Answer:
x-6+x
2x-6=14
2x=20
x=10
Step-by-step explanation:
I tried hard... I really hope this helps!
An electronics company just finished designing a new tablet computer and is interested in estimating its battery-life. A random sample of 20 laptops with a full charge was tested and the battery-life was found to be approximately normal with a mean of 6 hours and a sample standard deviation of 1.5 hours. Which of the following is the correct form for a 99% confidence interval?
a) .99( ) 6 2.576(0.3354) CI
b) .99( ) 6 2.576(1.5) CI
c) .99( ) 6 2.861(0.3354)CI
d) .99( ) 6 2.861(1.5) CI
Answer:
[tex]6 \pm 2.861(0.3354)[/tex]
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.861.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.861\frac{1.5}{\sqrt{20}} = 2.861(0.3354)[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The format of the confidence interval is:
[tex]S_{M} \pm M[/tex]
In which [tex]S_{M}[/tex] is the sample mean
So
[tex]6 \pm 2.861(0.3354)[/tex]
what is the Lcd of fra tions 1_3 and 11 _15
it's 15, since it is divisible by both 15 (15 x 1) and 3 (3 x 5)
Answer:
15
Step-by-step explanation:
Well to find the least common denominator of [tex]\frac{1}{3}[/tex] and [tex]\frac{11}{15}[/tex].
We have to see if 11/15 can be reduced, and by looking at the fraction it can’t be reduced.
So we just have to make 1/3 fraction have the same demimitator as 11/15.
So we just multiply it by 3 to get 15 go the LCD is 15.
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction
Answer:
[tex]-\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex]
Required
Simpify
The very first step is to take LCM of the given expression
[tex]\frac{-10 -4 - 2}{6}[/tex]
Perform arithmetic operations o the numerator
[tex]-\frac{16}{6}[/tex]
Divide the numerator and denominator by 2
[tex]-\frac{16/2}{6/2}[/tex]
[tex]-\frac{8}{3}[/tex]
The expression can't be further simplified;
Hence, [tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex] = [tex]-\frac{8}{3}[/tex]
Choose the set of numbers with an average of 45.
A) 30, 40, 50, 60
B) 20, 40, 60
C) 20, 30, 40, 50, 80, 80
Answer: a
Step-by-step explanation:
i don't know
help please this is important
Answer:
i think is e or b
Step-by-step explanation:
[tex]7(b-2)[/tex] Can be interpreted as letter E.
Question
Shelly has 50 shortsin her closet. Shawnie her
Sister borrowed Some of
her shorts. Now shelly has
44 Shosts. How many
Shorts did Shawnie borrow.
A. 50-n = 44
B. 50 t n = 44
c. 50 n = 44
D.44 n =50
Answer:
A.50-n=44, 6 shorts borrowed
Step-by-step explanation:
If her sister borrowed n shorts, that means Shelly now has n less shorts. Since her amount of shorts is 50, then 50-n must equal how many shorts she has now, meaning 50-n=44. Solving the equation we get n=6. This means that her sister borrowed 6 shorts.
Answer:
A
Step-by-step explanation:
50 minus the shorts Shawnie borrowed (n) equal to 44
is this right one more i think lol
Answer:
Yup P is the right one having 62.26%
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
We can set it up as
P = 33/53
Q = 20/48
R = 54/90
S = 44/83
This is because we are calculating the percent of yellow birds in the total amt. of birds in a specified park.
Now we calculate =>
P = 33/53 = around 0.62
Q = 20/48 = around 0.416
R = 54/90 = 0.6
S = 44/83 = around 0.53
We find that Park P has the greatest percentage and -->
Thus, Park P is our answer and yes, you are correct.
I need help with this exercise please. What I need to know is the measure of one side of the square. Sorry for the language of the exercise
Answer:
[tex]\boxed{\sf \ \ x=6 \ \ }[/tex]
Step-by-step explanation:
Hello,
BMN and NPC are two similar triangles so
[tex]\dfrac{BM}{MN}=\dfrac{NP}{PC}\\\\ \dfrac{10-x}{x}=\dfrac{x}{15-x}\\\\<=>(15-x)(10-x)=x^2\\\\<=>150-25x+x^2=x^2\\\\<=>25x=150\\\\<=>x=6[/tex]
espero que esto ayude
Find the hypotenuse of a right triangle (in cm) if one leg measures 7 cm and the other leg measures 11 cm. Round to the nearest thousandth. ____________ cm
Using the Pythagorean theorem
Hypotenuse = sqrt( 11^2 + 7^2)
= sqrt( 121 + 39)
= sqrt( 160)
= 12.694