Answer:
[tex]a_2=6[/tex]
Step-by-step explanation:
Geometric sequence general formula: [tex]a_n=ar^{n-1}[/tex]
Given:
[tex]a_1=2[/tex][tex]a_3=18[/tex][tex]a_5=162[/tex]Therefore,
[tex]a_1=2 \implies a=2[/tex]
[tex]a_3=2 \cdot r^2=18[/tex]
[tex]a_5=2 \cdot r^4=162[/tex]
To find common ratio r, divide 5th and 3rd terms:
[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]
[tex]\implies r^2=9[/tex]
[tex]\implies r=\sqrt{9}=3[/tex]
Therefore, geometric sequence formula: [tex]a_n=2 \cdot 9^{n-1}[/tex]
So second term of sequence:
[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]
One pack of sliced cheese weighs 350 grams. How many packages would you need tobuy to have at least 1 kilogram of cheese?
Answer:
3
Step-by-step explanation:
Divide 1kg or 1000g by 350 and round up to the next integer. That's it.
Answer:
3 packages
Step-by-step explanation:
350+350=700
700+350=1100
1000 grams=1 kilograms
pls help! who ever solves first will be awarded brainiest!!! solve asap!
Answer:
[ ] = 3¹³
Step-by-step explanation:
3¹⁷ - 3¹⁵ + 3¹³ = [ ] x 73
3¹³ [3⁴ - 3² + 1] = [ ] x 73
3¹³ [81 - 9 + 1] = [ ] x 73
3¹³ x 73 = [ ] x 73
[ ] = 3¹³ [It says 3^13 if it is not clear/visible]
Find the slope of the line through each pair of points (-12,-11),(13,-6)
Choose the integer that best describes the following phrase: Owing $200 on a credit card
Answer:
x> -200
Step-by-step explanation:
June is driving for brookline massachusetts, to brooklyn,new york. the cities are 200 miles apart. pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50 mph the entire way. consider the following function. the distance June has traveled , c, is a function of her driving time t. what is the range of the function?
The range of the function c = 50t + 200 is given by [200, ∞).
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let c represent the distance travelled in t hours, hence:
c = 50t + 200
The range of the function c = 50t + 200 is given by [200, ∞).
Find out more on linear equation at: https://brainly.com/question/12788590
Duing his leg, musher Charlie Olson’s sled overturned. He got frostbite trying to get his sled and the vials back together. Frostbite occurs when skin is exposed to temperatures -15ºF or lower for too long. At that point in the race, the windchill temperature was 55º colder than the warmest temperature at which frostbite occurs. What was the windchill temperature?
what is the m∠q ?????????????????????? help i taking a test and imma get beat if i fail
Answer:
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Step-by-step explanation:
Answer:
x = 30
Step-by-step explanation:
this is an isosceles triangle, which mean that PRQ and PQR are equal.
all sides of a triangle equal 180.
using this, you can make the following equation:
x + (2x + 15) + (2x + 15) = 180
combine like terms
5x + 30 = 180
subtract 30 from both sides
5x = 150
divide both sides by 5
x = 30
What is the value of x in the equation 2x – 3 = 9- 4x?
1) 6
2) -3
3) 1
4) 2
Answer: 2
Step-by-step explanation:
thanks to all the people who helped me
Answer:
i think it is b i am not sure
Step-by-step explanation:
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
Answer:
a) angle CAR =angle BAR
Im so sorry if im wrong
What is the slope of the line shown?
Please answer ASAP. Thank you.
Answer:
Slope is 1/2
Step-by-step explanation:
up one, right 2
How I learned it: Rise/ Run
Hope that helps!
Answer:
1/2
Step-by-step explanation:
Slope is defined as rise over run. In the graph, you can see that for every 2 units in the positive x-direction, there will be 1 unit in the positive y-direction. Therefore, the answer is change in x/change in y = 1/2
What is a) b) and c)
The following histogram represents the number of hours students practice each week for the band.
How many hours did most students practice?
a. 7-8
b. 1-2
c. 3-4
d. 5-6
Best answer gets brainliest!
Answer:
D
Step-by-step explanation:
frequency is the students and most of them (10) study 5-6 hours ♡
how to i find the definition of a congruent angle
Answer:
Angles are congruent if they have the same angle measure in degrees. Try this Adjust any angle below by dragging an orange dot at its ends. The other angle will change to remain congruent with it. Angles are congruent if they have the same angle measure in degrees.
Step-by-step explanation:
Hope this helps!
Answer:
The definition of a congruent angle, is a shape which all angles are equal and the same as each other. A square has a congruent angle, because all the angles are 90 degrees.
Step-by-step explanation:
Didn't really understand what you meant, but I hope this helps you understand it better! <3
16 is what percent
of 20?
Answer:
80%
Step-by-step explanation:
Answer:
The answer is 1=5% so 5 × 16 = 80
Fernando has been saving money to buy an e-book reader. A store has just marked down the price of its readers by 40%. Each reader comes with a mail-in rebate for $25. If the reader used to cost $150, what will Fernando's final price be after the markdown and rebate? The total amount off includes the markdown and rebate. What is the total amount off?
Answer:
$85Step-by-step explanation:
We are expected to solve for the amount off the reader after 40% discount and $25 refund(rebate)
Now given that the book is $150
40% of 150
=(40/100)*150
=0.4*150
=$60
The total amount off includes the markdown and rebate.
the total amount is
60+25=$85
Which would be a correct step when evaluating this equation?
-6-(-16)=
Answer:
10
Step-by-step explanation:
[tex]\mathrm{Apply\:rule}:\quad \:a-\left(-b\right)=a+b[/tex]
[tex]-6-\left(-16\right)=-6+16[/tex]
[tex]=-6+16[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-6+16=10[/tex]
Hence, Answer = 10
~Lenvy
Do 1 to 6 pls ……..lol helppppppp
Answer:
2100046656116384625Step-by-step explanation:
Hope it helps!!!
hellp 100 points + THE CROWN PLEASEEEEEEEEEEEEEEE
Answer:
B
Step-by-step explanation:
(9 × 10) + (5 × 1) + (7 × [tex]\frac{1}{10}[/tex] ) + (1 × [tex]\frac{1}{100}[/tex] ) ← evaluate each parenthesis
= 90 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] ( convert fractions to decimal fractions )
= 95 + 0.7 + 0.01
= 95.71
A furniture store purchased a sofa for $400. The store set the retail price at a 50% markup. When Karen purchases the sofa, she must also pay an 8% tax. How much does Karen pay for the sofa, including sales tax?
Answer:
$648.
Step-by-step explanation:
$400+50% = $600
$600+8%=$648
ny
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which flx) = g(x) is true.
x=
Answer:
-3x + 4 = 2
just find x
Step-by-step explanation:
x = ⅔
29 square feet. what is the radius of the pizza rounded to the nearest foot
Answer:
4.61549
Step-by-step explanation:
radius=circumference/2 3.14=29/2*3.14=4.61549
What is y-1=-2(x-2) in slope intercept form
Answer:
y=−2x+5
Step-by-step explanation:
y=mx+b
Which of the following properties are true for rigid transformations?
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure
O ii only
O i and ii
O ii and in
O i, ii, and in
Answer:
The first choice is correct. ii only.
Step-by-step explanation:
A rigid transformation changes the location of the shape without changing its size. There are three basic rigid transformations: reflections, rotations, and translations.
We are given these properties:
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure.
Let's analyze each choice below:
O ii only . This is true. The other two properties are non-rigid transformations. Correct
O i and ii . This is not true. Increasing or decreasing the size of the figure is a non-rigid transformation. Incorrect.
O ii and iii. Changing the shape of the figure is a non-rigid transformation. Incorrect.
O i, ii, and iii. Properties i and iii are non-rigid transformation. Incorrect.
Please help me :c
I'll mark you Brainiest
Jackson went into a movie theater and bought 8 bags of popcorn and 2 candies, costing a total of $58. Cooper went into the same movie theater and bought 4 bags of popcorn and 5 candies, costing a total of $49. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each candy. Define the variables that you use to write the system.
Answer:
Jackson: 8p + 2c = 58
Cooper: 4p + 5c = 49
Step-by-step explanation:
p= popcorn
c= candies
When you write this equation, have the cost on one side of the equation and the coefficients on the other.
Which hyperbola has one focus point in common with the hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1
Answer:
3 &4
Step-by-step explanation:
The hyperbola with one focus point in common with the given hyperbola is:
[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1
Which hyperbola has one focus point in common with the given hyperbola?To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).
The equation of the given hyperbola is:
[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1
The general equation of a hyperbola with its center at (h, k) is:
[(y - k)² / a²] - [(x - h)² / b²] = 1
The center (h, k) of the given hyperbola is (7, -11).
To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.
Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.
Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:
e = c / a'
15 / 10 = 1.5
Now, we can find b' using the eccentricity:
e = c / a' = c / 10
c = e * a' = 1.5 * 10 = 15
Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:
[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1
Learn more on hyperbola here;
https://brainly.com/question/15935373
#SPJ2
which set of angle measures CANNOT be the angle measures of a triangle
A. 65°,65°,50°
B. 54.3°, 47.5°,78.2°
C. 22.5°, 36.4°,110.1°
D. 40°,40°,100°
Answer:
C cannot make a triangle
Step-by-step explanation:
One of these choices does not have 3 angles adding to 180.
A) adds to 180 degrees
B) B also adds to 180 degrees.
C) Adds to 169 degrees, so this set of 3 does not make a triangle.
D) Adds to 180
A frction with fractions in either the numerator or the denominator or both called a??
Answer:
compound fraction
Step-by-step explanation:
When a “normal” fraction contains fractions in either the numerator or denominator or both, then we consider it to be a complex fraction. This type of fraction is also known as a compound fraction. There are two methods used to simplify such kind of fraction.
Need the second equation for this to graph
I already have y=-3/5+12
Alexandra is going to a
carnival that has games
and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandr VCR be a
played, x, and the number of rides Alexandra went on, y.
Answer:
-2,-4=12 That is the answer of that question
Helpppp ASAPS i need your help i give brainlist to the correct answer only 2 and 3
Answer:
see
Step-by-step explanation:
1.
AD²+BD²=AB²
AD²+12²=15²
AD²+144=225
AD²=225-144
AD²=81
AD=√81
AD=9
2.
AC=AD+DC
AC=9+16
AC=25
3. I don't know what's the answer here.
Please give me brainlist.