Answer:
A is the answer.
Step-by-step explanation:
Look at the graph of graph A. It has given the correct distance between 2 and -5.
Hoped this helped.
Answer:
B.
Step-by-step explanation:
What’s the common ratio of the geometric sequence?
-4,-8,-16
Hello! :)
A geometric sequence is a sequence where you use multiplication or division to get to the next term.
-4, -8, -16...
Here, we multiply every number by 2. So the common ratio is 2.
Hope it helps, and let me know if you have any queries.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Answer:
The answer is 2.
Step-by-step explanation:
To get the common ratio, simply dividing each number in the sequence from the number preceding it.
-4, -8, -16
-16 ÷ -8 = 2
- 8 ÷ -4 = 2
PLZZZ HELPPP
What are the domain and range of f (x) = 1/2 (x+4)^2 - 11
Domain: All real numbers
Range: f(x) > -11
Domain: 3 > -11
Range: f(x) > -11
Domain: All real numbers
Range: All real numbers
Domain: 2 > -11
Range: All real numbers
Answer:
D. Domain: 2 > -11
Range: All real numbers
Step-by-step explanation:
Correct me if I’m wrong UwU
Answer:
Domain: All real numbers
Range: f(x) ≥ - 11
Step-by-step explanation:
Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:
The vertex, (h, k) is (-4, -11).
Range: f(x) ≥ -11.The parabola opens upward (where a = ½, which is greater than 0), and k = -11 is the minimum value for f(x). Hence, the range of the given function must be at least -11, or f(x) ≥ -11.
Domain: all real numbersThere is no restriction for the value of x. Therefore, the domain of the given function is all real numbers.
g A pipe of negligible diameter is to be carried horizontally around a corner from a hallway 8 ft wide into a hallway 4 ft wide. What is the longest length that the pipe can be
The length of the longest pipe that can be carried horizontally is given by the minimum value of the function of the length of the pipe.
The longest length that the pipe can be is approximately 16.648 feet.
Reasons:
The length of the pipe, L
Width of the first hallway = 8 ft.
The width of the second hallway = 4 ft.
We have;
(L - a)·sin(θ) = 8
a·cos(θ) = 4
Therefore;
L - a = 8·csc(θ)
a = 4·sec(θ)
L(θ) = 8·csc(θ) + 4·sec(θ)
At the minimum length, we have;
L'(θ) = 4·sec(θ)·tan(θ) - 8·csc(θ)·cot(θ) = 0
4·sec(θ)·tan(θ) = 8·csc(θ)·cot(θ)
Therefore;
[tex]\displaystyle \frac{sec(\theta) \cdot tan(\theta)}{csc(\theta) \cdot cot(\theta)} = \frac{sin(\theta) \cdot tan(\theta) \cdot tan(\theta) }{cos(\theta) } =tan^3(\theta) = \frac{8}{4}[/tex]
[tex]\displaystyle tan(\theta) =\sqrt[3]{\frac{8}{4} } ={\sqrt[3]{2} }[/tex]
θ = arctan([tex]\sqrt[3]{2}[/tex]) ≈ 51.56°
a = 4×sec(arctan([tex]\sqrt[3]{2}[/tex]))
a ≈ 6.434
L = 8·csc(θ) + a = 8 × csc(arctan([tex]\sqrt[3]{2}[/tex])) + 4×sec(arctan([tex]\sqrt[3]{2}[/tex])) ≈ 16.648
The longest length that the pipe can be, L ≈ 16.648 ft.
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The longest length of the pipe is an illustration of trigonometry functions
The longest length of the pipe is 16.64 ft
The widths of the hallways are given as:
[tex]\mathbf{w_1 = 8}[/tex]
[tex]\mathbf{w_2 = 4}[/tex]
See attachment for the diagram that represents the scenario
From the diagram, we have:
[tex]\mathbf{sin(\theta) = \frac 4x}[/tex]
[tex]\mathbf{cos(\theta) = \frac 8y}[/tex]
Make x and y the subject
[tex]\mathbf{x = \frac 4{sin(\theta)}}[/tex]
[tex]\mathbf{y = \frac 8{cos(\theta)}}[/tex]
Where, the total length (L) of the pipe is:
[tex]\mathbf{L = x + y}[/tex]
So, we have:
[tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]
Differentiate
[tex]\mathbf{L' = -\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]
Set to 0
[tex]\mathbf{-\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)} = 0}[/tex]
Rewrite as:
[tex]\mathbf{\frac{4cos(\theta)}{sin^2(\theta)} = \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]
Divide through by 4
[tex]\mathbf{\frac{cos(\theta)}{sin^2(\theta)} = \frac{2sin(\theta)}{cos^2(\theta)}}[/tex]
Cross multiply
[tex]\mathbf{2sin^3(\theta) = cos^3(\theta)}[/tex]
Divide both sides by [tex]\mathbf{2cos^3(\theta)}[/tex]
[tex]\mathbf{tan^3(\theta) = \frac 12}[/tex]
Take cube roots of both sides
[tex]\mathbf{tan(\theta) = \sqrt[3]{\frac 12}}[/tex]
[tex]\mathbf{tan(\theta) = 0.7937}[/tex]
Take arc tan of both sides
[tex]\mathbf{\theta = tan^{-1}(0.7937)}[/tex]
[tex]\mathbf{\theta = 38.4}[/tex]
Substitute [tex]\mathbf{\theta = 38.4}[/tex] in [tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]
[tex]\mathbf{L = \frac 4{sin(38.4)} + \frac 8{cos(38.4)}}[/tex]
Evaluate
[tex]\mathbf{L = 6.43+ 10.21}}[/tex]
[tex]\mathbf{L = 16.64}}[/tex]
Hence, the longest length of the pipe is 16.64 ft
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June earned $ 75 last week. April earned $25. June earnings were how many times greater than April
Answer:
3 times
Step-by-step explanation:
25 times 3 is 75
This is what i think
A simple pendulum is made from a 0.864-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
Answer:
Step-by-step explanation:
The period of a simple pendulum is
T = 2π√(L/g)
as going from zero velocity to max velocity takes 1/4 of a period
t = ¼(2π)√(L/g)
t = ½π√(L/g)
t = ½π√(0.864/9.81)
t = 0.466 s
Solve for x and y. (Geometry)
Step-by-step explanation:
All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .
16 + y = 46
y = 46 -16 = 30
And ,
60 + x + (180-80) = 180
-20 +x = 0
x = 0 +20
x = 20°
Find the mean, mode(s), and median for the following set: 90, 92, 94, 91, 90, 94, 95, 98
Answer:
mean = 93
mode(s) = 90 and 94
median = 93
Step-by-step explanation:
Mean --> average value[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]
[tex]\sf{mean = \frac{744}{8} }[/tex]
[tex]\bf{mean = 93}[/tex]
.
Mode(s) --> the most frequently occurring value90 = 291 = 192 = 194 = 295 = 198 = 1mode(s) = 90 and 94
.
Median --> middle valuesort from smallest
90, 90, 91, 92, 94, 94, 95, 98
median :
[tex]\sf{median = \frac{92 + 94}{2} }[/tex]
[tex]\sf{median = \frac{186}{2} }[/tex]
[tex]\bf{median = 93}[/tex]
What is the answer to :
2x (4+3) -5 x [4-(9-7)]
??
Answer:
8×+6×-5×{2}
8×+6×-10×
14×-10×
4×
calculation: 2x(4+3)-5x[4-(9-7)]
2x × 7-5x [4-(9-7)]
14x - 5x [4-(9-7)]
14x - 5x [2]
14x -5x × 2
14x - 10x
4x
AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?
Answer:
x ≈ 4.239
Step-by-step explanation:
A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.
__
Additional comment
The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.
In Phoenix, Arizona, the average number of sunny days is 211 per year. About what percent of the year is Phoenix sunny?
Answer:
57.81
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
there are 365 days on one year so you need to divide 211 by 365.
211÷365 = 0.578
round: 0.58 or 58%
Solve the equation for the indicated variable.
8x + y =5, for x
X= [?]
(Simplify your answer.Use integers or fractions for any numbers in the expression.)
Answer:
x = −1/8y + 5/8
Step-by-step explanation:
Step 1: Add -y to both sides.
8x = −y + 5
Step 2: Divide both sides by 8.
8x/8 = −y+5/8
x= −1/8y + 5/8
if someone helps me with dis ill give u brainliest
Answer:
(25, 30) = 150 ,300 450
(15, 24) = 120 225 300
Step-by-step explanation:
Prime Factorization of 15 is:
3 x 5 => 3^1 x 5^1
Prime Factorization of 24 is:
2 x 2 x 2 x 3 => 2^3 x 3^1
Prime Factorization of 25 is:
5 x 5 => 5^2
Prime Factorization of 30 is:
2 x 3 x 5 => 2^1 x 3^1 x 5^1
Find the half-life, in days, of Co-60. Round your
answer to the nearest tenth.
Cobalt-60 is used in the treament of
cancer. A sample contains 8 grams of Co-
60 where k = 0.1308.
Enter the correct answer.
N = Noe -kt
DONE
No = initial mass (at time t = 0)
DOO
(อ
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answer:5.3
Step-by-step explanation:
Why
Divide both sides by 8
4=8e ^-0.1308t
0.5=e^-0.1308t
Take log of both sides
In0.5=Ine^-0.1308t
Apply In e^x=x
In0.5=-0.1308
Divide both sides by -0.1308 to solve for t
t=5.3
7433654 round to the nearest thousand
Answer:
Already rounded to the nearest thousandth.
7433654.000
Jamal had $25.00. He spent $9.00. Which decimal represents the fraction of the $25.00 that
Jamal spent?
A. 0.64
B. 0.36
C. 04
D. 06
Answer:
B. 0.36
Step-by-step explanation:
9/25 = x/100
9x100= 900
900 divided by 25 will be 36/100, so 0.36
The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that the mileage on Ori's car is 73,033 miles.
We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.
Therefore, the mileage on Ori's car = 73,033 miles.
identical digits = 40
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
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3. Sandra earns P62,954 per month. Determine the following Percentage Amount of Deduction Whld Tax 24% SSS 1.4% Philhealth 1.1% SSS 1.4% Pag-ibig 0.2% Total Deduction Net Pay
Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:
Withhold Tax 24% 62,954 x 0.24 = 15,108.96 SSS 1.4% 62,954 x 0.014 = 881.35 Philhealth 1.1% 62.954 x 0.011 = 692.49 Pag-ibig 0.2% 62.954 x 0.002 = 125.90 Total Deduction = 15,108.96 + 881.35 + 692.49 + 125.90 = 16,808.71 Net Pay = 62,954 - 16,808.71 = 46,145.29
Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
Learn more about quantities in https://brainly.com/question/25716934
Help help help help help help help
Answer:
6
Step-by-step explanation:
x coordinate goes left and on 6 line
y coordinate goes up and on 1 line
(x, y)
(6, 1)
x coordinate is 6
Point One = (0, -2) = Point Two = (-3, -5)
write in slope intercept form
Answer: m=1
Step-by-step explanation:
Use the equation y=y2-y1 over x2-x1
1. label your points
0=x1
-2=y1
-3=x2
-5=y2
The first pair is x1 and y1 and the next pair is x2 and y2
plug in the numbers to find your answer
S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?
y= -6x + 1/2
PLEASE I NEED THE ANSWER AND EXPLANATION
Answer:
m = -6 (slope)
b = (1/2)
The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).
Some examples of where the line is could be:
(1, -5.5)
(-1, 6.5)
Peter wins five sixth of his matches and loses the rest. What is the ratio of wins to losses?
BRAINLIEST
Answer:
5:1
Step-by-step explanation:
5/6 won
1/6 lost
5:1=6
Answer:
5:1
Step-by-step explanation:
Total numbers of match = 6
No. of matches Peter wins = 5
Ratio of wins to lose = 5:(6-5) = 5:1
Please, don't write the answer as 1:5. Because, 5:1 and !:5 both are different so don't be confused.
i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false
4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08
True, False, False, True, False, False
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answer:
hhhhhhhhhhhhiiiiiiiii
Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?
Answer:
$21.98
Step-by-step explanation:
45.50 * .20 = 9.1
32.20 * .40 = 12.88
12.88 + 9.1 = 21.98
let's substract : (2x + 3y) from (8x + 6y)
[tex]\huge\mathfrak\pink{answer} [/tex]
On the following set of axes, create the graph of a function f (x) with the following characteristics:
Passes through the points,
(-8,0), (5,-2) and (8,3)
Functions can be represented on graphs and graphs can also be represented as functions.
The given parameters are:
Points = (-8,0), (5,-2) and (8,3)
Absolute Maximum = (-4,5)
Absolute Minimum = (2,-6)
Start by plotting the points (including the absolute maximum and the absolute minimum) without connecting the dots (see attachment 1)
The decreasing interval [tex]\mathbf{-4 \le x \le 2}[/tex] implies that the graph decreases from x =-4, to x =-2
See attachment (2) for the rough sketch of the graph that represents the given points and the decreasing interval
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Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
The table shows the number of admission tickets to an amusement park sold over the last 3 days.
Day Tickets Sold
Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7
How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.
HOW MANY tickets??!?
Answer:
There were 7515 more ticket sold on Sunday than on Friday.
Answer: There were 21915 sold on Sunday than on Friday.
Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.
Answer:
almonds are worth 50 cents per ounce
peanuts are worth 25 cents per ounce
almonds are worth more per ounce
Step-by-step explanation:
I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds
Answer:
Almonds=50 cents per ounce
peanuts are 25 cents per ounce