Answer:
4
Step-by-step explanation:
Answer:
There are several different means:
Arithmetic: 4 (This is most likely your answer.)
Geometric: 3.0862
Harmonic: 2.3736
Hope that this helps!
a cell phone plan charges a base fee of $62 and an overage charges $30 per gigabyte of data that exceeds 2 GB
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
Do y’all know this?
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
Help me please. NO LINKS
Answer:
A. 7986.45
[tex] \frac{4}{3} \pir3[/tex]
A boy is twice as old as his sister who is x years old now. In 2 years, the boy will be
Answer and Step-by-step explanation:
2x + 2 is the answer.
If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.
Then we add 2 when 2 years pass by.
#teamtrees #PAW (Plant And Water)
there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.
Answer:
Step-by-step explanation:
3:22
Answer:
6/50
Step-by-step explanation:
using probability
pink beads = 6
total beads = 44 + 6
= 50
6/50
3/25
therefore ratio
3 : 25
A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base
Answer:
7cm
Step-by-step explanation:
Volume of a prism = base area x height
base area = area of a square = length²
784 = length² x 16
divide both sides of the equation by 16
length² = 784/16
length² = 49
find the square root of both sides
length = 7
Please help find the volume by using 3.14 as pi
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
V=4
3πr3 is formula of this question
which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined
Answer: To me it (Zero) or (Undefined)
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
pls help pls pls pls
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
find the location of Q
Answer:
6 pretty sure
Step-by-step explanation:
can you help me get the answer for this Q :)
Answer:
sorry need some points
Step-by-step explanation:
49 + 710 is 10390.49 + 710 is 10390.
26. Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. 27. Given that tanθ ≈ -1.559 where 3π2<θ<2π , find the values of sinθ and cosθ.
Answer:
a. i. sinθ = +0.941
ii. cosθ = +0.339
b. i. sinθ = -0.842
ii. cosθ = +0.540
Step-by-step explanation:
a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.
i. sinθ
Given that 1 + cot²θ = cosec²θ
cotθ = 1/tanθ
Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606
So, 1 + cot²θ = cosec²θ
1 + (0.3606)² = cosec²θ
1 + 0.13 = cosec²θ
1.13 = cosec²θ
cosec²θ = 1.13
cosecθ = ±√1.13
cosecθ = ±1.063
1/sinθ = ±1.063
sinθ = ±1/1.063
sinθ = ±0.9407
sinθ ≅ ±0.941
Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.
So, sinθ = +0.941 where 0<θ<π/2
ii. cosθ
Given that 1 + tan²θ = sec²θ
Since tanθ = 2.773,
So, 1 + tan²θ = sec²θ
1 + (2.773)² = sec²θ
1 + 7.6895 = sec²θ
8.6895 = sec²θ
sec²θ = 8.6895
secθ = ±√8.6895
secθ = ±2.9478
1/cosθ = ±2.9478
cosθ = ±1/2.9478
cosθ = ±0.3392
cosθ ≈ ±0.339
Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.
So, cosθ = +0.339 where 0<θ<π/2
b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.
i. sinθ
Given that 1 + cot²θ = cosec²θ
cotθ = 1/tanθ
Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414
So, 1 + cot²θ = cosec²θ
1 + (-0.6414)² = cosec²θ
1 + 0.4114 = cosec²θ
1.4114 = cosec²θ
cosec²θ = 1.4114
cosecθ = ±√1.4114
cosecθ = ±1.1880
1/sinθ = ±1.1880
sinθ = ±1/1.1880
sinθ = ±0.8417
sinθ ≈ ±0.842
Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.
So, sinθ = -0.842 where 3π/2<θ<2π
ii. cosθ
Given that 1 + tan²θ = sec²θ
Since tanθ = -1.559,
So, 1 + tan²θ = sec²θ
1 + (-1.559)² = sec²θ
1 + 2.4305 = sec²θ
3.4305 = sec²θ
sec²θ = 3.4305
secθ = ±√3.4305
secθ = ±1.8522
1/cosθ = ±1.8522
cosθ = ±1/1.8522
cosθ = ±0.5399
cosθ ≈ ±0.540
Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.
So, cosθ = +0.540 where 3π/2<θ<2π
What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2
Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answer:
The answer is D (6).
hope this helps!
65 70 75 80 85
Brand A
HIH
15
50
60
70
85
Brand B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Price ($)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for brand A, $20, is less than the IQR
for brand B. $70.
O B. The median for brand A, $75, is greater than the median for brand
B, $60.
O C. The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
O D. The interquartile ranges (IQRs) for brands A and B are both $20.
Given:
Two box plots for Brand A and Brand B.
To find:
The correct statement for the given box plots.
Solution:
In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.
The interquartile range of a data set is:
[tex]IQR=Q_3-Q_1[/tex]
From the box plot of Brand A, it is clear that
[tex]Q_1=70[/tex]
[tex]Median=75[/tex]
[tex]Q_3=80[/tex]
So, the interquartile range (IQR) for brand A is:
[tex]IQR=80-70[/tex]
[tex]IQR=10[/tex]
From the box plot of Brand B, it is clear that
[tex]Q_1=50[/tex]
[tex]Median=60[/tex]
[tex]Q_3=70[/tex]
So, the interquartile range (IQR) for brand B is:
[tex]IQR=70-50[/tex]
[tex]IQR=20[/tex]
The median for brand A, $75, is greater than the median for brand B, $60.
The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
Therefore, the correct options are B and C.
I need help on this
Answer:
it is FH < HI
Step-by-step explanation:
Round 25446 to 1 significant figure
Answer:
30000
Step-by-step explanation:
In 2001 the club's total income was£1000 the club spent 60%of its total incoming on a hall. It spent farther £250 on price work out this ratio the amount spent on the hall the amount spent the prise
Answer:
We need to know the question??
Step-by-step explanation:
what is
6
+0.2
————-
Answer:
Your correct answer will be 6.2
Step-by-step explanation:
First, we line up the decimal points, 0.2 plus 6.0, always add 0 to the number without the decimal.
Last, you just add them, and you will get 6.2
Mark me brainliest and have a good day!
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...Can someone helps mezzzz
Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....
Answer:
-6n + 11
Step-by-step explanation:
The difference between each number is 6 (-6)
If n=1 then -6n + 11 =5
If n=2 the (-6×2) + 11 = -1
If n=3 the (-6×3) + 11 = -7
and so on.
You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.
:]
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.
What is Solution to Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.
We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.
We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.
Learn more about Equation here:
https://brainly.com/question/505879
#SPJ2
Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)
Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
Help a bab out with something, please?
Answer:
18
Step-by-step explanation:
