Answer: 1/3 The spaces are equal, and there are 2 favorable outcomes; out of 6 possible outcomes. That comes out to 2/6, and 2/6 reduced is 1/3
What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...
0-2
1
2
02
The common ratio of the geometric sequence is -1/2
How to determine the common ratio?The geometric sequence is given as: -96, 48, -24, 12, -6, ...
The common ratio is calculated using:
r = T2/T1
From the sequence, we have:
T2 = 48
T1 = -96
This means that
r = 48/-96
Evaluate the quotient
r = -1/2
Hence, the common ratio of the geometric sequence is -1/2
Read more about common ratio at:
https://brainly.com/question/5633742
#SPJ1
Which values of a and b make this system of equations have infinitely many solutions?
2y + 16 = 6x
y = ax + b
a = -3, b = 8
a = -3, b = -8
a = 3, b = -8
a = 3, b = 8
The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the trip. The cost of renting the bus was then evenly redistributed among all of the students. The cost for each of the original 20 students decreased by $1.50. What was the total cost of renting the bus, in dollars?
By solving a linear equation, we will see that the total cost for renting the bus is $90.
What was the total cost of renting the bus, in dollars?Let's say that the total cost is C.
When there are 20 students, each student should pay:
p = C/20
When the other 10 students are added (for a total of 30) each student pays:
p' = C/30.
We know that the cost for each of the original 20 students decreased by $1.50, so:
p' = p - $1.50
Then we have 3 equations to work with:
p = C/20
p' = C/30.
p' = p - $1.50
Now we can replace the first and second equations into the third one:
C/30 = C/20 - $1.50
Now we can solve this linear equation for C:
C/20 - C/30 = $1.50
C*( 1/20 - 1/30) = $1.50
C*(30/600 - 20/600) = $1.50
C*(10/600) = $1.50
C*(1/60) = $1.50
C = 60*$1.50 = $90
So the total cost for renting the bus is $90.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
(x-4)3/4 = 27
solve for x
Answer:
40
Step-by-step explanation:
Lets put the 3/4 at the beginning and expand this bracket :
3/4(x-4) = 27
3/4x - 3 = 27
Now we add 3 to both sides :
3/4x = 30
Now we times both sides by 4 :
3x = 120
Now we divide both sides by 3:
x = 40
Hope this helped and brainliest please
Calculate the volume of the figure below
Answer:
40 cm³Step-by-step explanation:
Calculate the volume of the figure below
find the volume of the two rectangular parallelopipeds and add the results2*2*6 + (6-2)*2*2 =
24+4*2*2=
24+16=
40cm³
I need help please ASAP?!!!
Answer:
Its 43.2
I hope this helps ^^
Answer:
43.2
Step-by-step explanation:
kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters
To go right once multiply be ten
To go left once divide by ten
4.32 • 10 = 43.2
x^2+ 4x +29=0 solve the quadratic equation by completing the square.
Answer + Step-by-step explanation:
x² + 4x + 29 = 0
⇔ [x² + 4x] + 29 = 0
⇔ [x² + 4x + 4 - 4] + 29 = 0 (just add and subtract 4)
⇔ [x² + 4x + 4] - 4 + 29 = 0
⇔ (x + 2)² - 4 + 29 = 0 (Replace x² + 4x + 4 by (x + 2)²)
⇔ (x + 2)² + 25 = 0
⇔ (x + 2)² = -25 impossible because (x + 2)² > 0 and -25 < 0
Then there is no solution to the quadratic.
which of these corrections represents causation
The correct option that represents Causation is; D: as a total number of family member increases the amount of money that the family spends on food increases
What is the difference between Causation and Correlation?
Correlation is used to describe the kind of relation between two variables whereas causation is a relationship between the cause and effect.
This means that in Causation, the independent variable acts like a cause to effect the dependent variable.
Thus, the correct options as seen in the brainly linked attached is Option D: as a total number of family member increases the amount of money that the family spends on food increases
Read more about Correlation at; https://brainly.com/question/18404964
#SPJ1
You are asked to prepare a prescription for an Antihistamine 12.5mg/5ml elixir. What is the percent strength of the medication?
Answer:
1) 0.25%
Step-by-step explanation:
Ratio= weight in g/ volume in ml
1. percent strength = 12.5× 10-³g /5ml × 100%
=0.25%
Answer:
0.25%
Step-by-step explanation: Convert mg to g (1g = 1000mg)
12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%
Perform the given operation and simplify.
(m-2)(m*2+2m-3)
Answer:
=4m^2−11m+6
Step-by-step explanation:
Given algebraic expression:
(m-2)(m•2+2m-3)
To:
Simplify
Solution:
(m−2)(m(2)+2m−3)
=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)
=2m^2+2m^2−3m−4m−4m+6
=4m^2−11m+6
13-3-2-1+6 = please show your work.
Answer:
the answer is going to be 13
Answer:
13
Step-by-step explanation:
Follow PEMDAS
13-3-2-1+6
13-3=10
10-2-1+6=
10-2=8
8-1+6
8-1=7
7 + 6=13
Please help I will give the most points
The following box-and-whisker plots represent two random samples of basketball players. The first sample represents
the heights of male players in the NBA. The second sample represents the heights of female players in the WNBA.
NBA
WNBA
t
80
70
85
90
65
60
75
Height (in inches)
Using the data from these random samples, compare the heights of male and female basketball players. Write your
answer in complete sentences.
UPLOAD
The answer would be A. 1 1/5.
We have given that,
The following box-and-whisker plots represent two random samples of basketball players. The first sample represents the heights of male players in the NBA.
What is the random sample?A simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. Is a process of selecting a sample in a random way.
The second sample represents the heights of female players in the WNBA
Using the data from these random samples, compare the heights of male and female basketball players.
Write your answer in sentences complete
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Therefore, The answer would be A. 1 1/5.
To learn more about the random sample visit:
https://brainly.com/question/24466382
#SPJ1
Answer:
The median height for the players in the NBA is 6 inches taller than the median of the WNBA. The overlap in the data shows that the tallest players in the WNBA are around the same height as the shortest players in the NBA.
2-(-9)-8 i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed helppppppppppppp
[tex]2 - ( - 9) - 8 \\ 2 + 9 - 8 \\ 11 - 8 \\ 3[/tex]
In the first step multiply the negative after two and the negative with 9 (negative times negative equals to positive )the according to BEDMAS from left to right do addition and subtraction
Hope it helps
Please give brainliest
Examine the diagram. It is not drawn to scale.
X
50°
3
55°
Y
75°
N
What is the m<3?
m23 =
Answer:
M3 = 105°
angles on a straight line add up to 180°
M3 = 180 - 75
= 105°
[tex]tanx^{2} -\frac{1}{3} =0[/tex]
These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29
Trigonometry expression
These are expression written as a function of sine, cosine and tangent.
Given
tanx² - 1/3 = 0
Add 1/3 to both sides
tanx² - 1/3 + 1/3 = 0 + 1/3
tanx² = 1/3
x² = arctan(1/3)
x² = 18.44
x =4.29
Hence the value of x from the given function is 4.29
Learn more on trig function here: https://brainly.com/question/24349828
#SPJ2
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The Osborne family and the Carey family are seeing a movie together in the theater. At the concession stand, Mr. Osborne paid $10 for 2 large popcorns and 1 large drink that his family will share. Mrs. Carey bought 4 large popcorns and 1 large drink and paid $16. How much does each item cost? A large popcorn costs $ and a large drink costs $ .
Answer:
p = 3 dollars d = 4 dollars
Step-by-step explanation:
2 p + 1 d = 10 given
4 p + 1 d = 16 given Subtract second equation from first to get:
-2p = - 6
p = 3 dollars then use this value in either of the equations to find 'd'
2(3) + d = 10
d = 4
Convert the following equation into standard form y=10x+12
Answer:
y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]
The ratio opposite/hypoenuse describes which function
A. Cosine
B. Secant
C. Sine
D. Tangent
Solve the proportion for b.
54
=
812
b = [?]
Answer:
Step-by-step explanation:
b = 8/2 *4
b = 16
PLS HELP!!! Explain how to use estimation to help find the product of two decimals. Give an example with both estimated and actual answers.
Answer: if you multiply decimals , the estimate value is necessary !
it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !
as;
2.234 = 2.23 , it will remain same but,
2.235 = 2.24 the 3 raised to 5 !!
Step-by-step explanation:
What is the maximum number of right angles in a triangle that lies on a sphere?
A.
three
B.
two
C.
zero
D.
one
Answer:
A. Three
explanation :
In Spherical Geometry, a triangle can have three right angles!
What is the domain of the piecewise function?
A. x<0, x>4
B. -∞ 4
C. all real numbers
Answer:
C. All real numbers
Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle
Write a quadratic equation in standard form given the roots: -3 and 4/5
Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.
Which option is an even function?
The correct answer is option D. Which is the even function is f (x) = x⁴.
What is an even function?The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
To know more about even functions follow
https://brainly.com/question/2284364
#SPJ1
How to convert 1 kg into centigrams
Answer:
[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]
Step-by-step explanation:
[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]
The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 200 meter Relay Swim Teams
Team A
Team B
Mean
127.9 s
127.4 s
Mean Absolute Deviation
0.26 s
0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
To know more about mean follow
https://brainly.com/question/968894
#SPJ1
Answer: D
Step-by-step explanation:
The function h(x) = 1/4|x| is a transformation of the absolute value parent
function, F(x) = |x|. Which graph shows h(x)?
The graph of the dilated absolute value function can be seen below.
How to get the graph of h(x)?
We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.
Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.
The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.
If you want to learn more about dilations:
https://brainly.com/question/3457976
#SPJ1
Find the volume of the
triangular prism.
3.6 cm
5.4 cm
9 cm
Answer:
174.96cm2
Step-by-step explanation:
V=lbh
=3.6×5.4×9
=174.96cm2
I don't knowif you want it in milliliters or litres so here are both of them
milliliters = 174.96
litres = 0.17496