Step-by-step explanation:
[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]
[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]
Slove 4x - c = k for x
Answer:
[tex]x=\frac{k+c}{4}[/tex]
Step-by-step explanation:
The normal cruising speed of a certain airplane is about 260 m/sec. What is the speed in miles per hour? Round to the appropriate number of significant digits.
Answer: 582 miles per hour
Step-by-step explanation:
581.603 miles per hour
Round= 582
The speed of an airplane in miles per hour is 581.60 miles/hour.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Given the speed of an airplane = 260 m/sec
Since,
1 mile = 1.60934 kilometer
1 km = 1000 meter
So,
1 mile = 1609.34 meter
1 m = (1/1609.34) mile
And,
1 hour = 360 seconds
1 s = (1/360)hour
So,
260 m/sec = 260 (3600/1609.34) miles/hour
⇒ 581.60 miles/hour.
Hence "The speed of an airplane in miles per hour is 581.60 miles/hour".
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Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.
Plz help me with questions 4
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) One way you can try to identify the pattern is to look for the differences between the images shown, then divide those differences by 2. For example, the total number of vertical dots is 2, then 4 in patterns 2 and 4. This suggests the total number of vertical dots is equal to the pattern number..
The total number of horizontal dots is 4, then 6 in patterns 2 and 4. This suggests that the number of horizontal dots increases by 1 in each pattern. This would mean pattern 1 would have 3 total horizontal dots and 1 total vertical dot. It will look like one row of 3 dots.
Pattern 3 will have 5 total horizontal dots and 3 total vertical dots. The sequence of patterns will look like the attachment.
__
b) The total number of dots in each pattern is 2×(pattern number) +1. Then the number of dots in Pattern 7 will be 2×7 +1 = 15 dots.
PLEASEE HELP
Determine the unknown angle measure for each triangle
A. m
B. M
Answer: total sum of 180°.
Step-by-step explanation:
AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67 miles, determine the distance between points A and B.
Answer:
43
Step-by-step explanation:
10 points right now for right answer
Answer:
x = 200
Step-by-step explanation:
Answer:
x=200 because it really do be like day sometimes
Step-by-step explanation:
edge trust me
Help help help please
Answer:
[tex] \frac{ {6}^{7} }{ {6}^{3} } = {6}^{7 - 3} = {6}^{4} [/tex]
A contractor purchases 6 dozen pairs of padded work gloves for $80.64. He incorrectly calculates the unit price as $13.44 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
it is $1.12 for each pair of gloves
Step-by-step explanation:
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using x as the number of units used in a month and y as the total
monthly cost, write an equation
y = 12.60 + 0.64x
Step-by-step explanation:
y = $12.60 + $0.64(x)
y = 12.60 + 0.64x
Can someone do the bottom awnser pls
what is 0.65 as a fraction or mixed number in simplest form?
Answer:
13/20
Step-by-step explanation:
0.65 = 65/100
both are multiples of 5, so simplify:
65/100 = 13/20
-Chetan K
If f(x) = 2x and g(x) = 5x + 2, what is (f + g)(x) when x = 3?
Answer:
f÷g=2x+5x+2=7x+2
x=3
7×3+2=21+2=23
The value of (f + g)(x) when x = 3, if f(x) = 2x and g(x) = 5x + 2, is 23.
What is function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).
Given:
f(x) = 2x and g(x) = 5x + 2
Calculate (f + g)(x) as shown below,
f(x) + g(x) = 2x + 5x +2
f(x) + g(x) = 7x + 2
Put x = 3
f(3) + g(3) = 7 × 3 + 2
f(3) + g(3) = 23
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Two entrepreneurs imported crafts for resale. The ratio of their investment was
3:5. What was each person's share of the $12,000 sales income?
Answer:
$4500 and $7500Step-by-step explanation:
The share has the same ratio as investment:
3x + 5x = 120008x = 12000x = 12000/8x = 1500The shares are:
3*1500 = 45005*1500 = 7500Please help me!!
20points!!
9514 1404 393
Answer:
A) 1
Step-by-step explanation:
Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary
Left angles
Call the smaller angle α. Then the larger angle is 2α.
tan(α) = x/2
tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)
Right angles
tan(β) = x/3
tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)
__
Angles 2α and 2β are complementary, so the product of their tangents is 1.
(4x/(4 -x²))(6x/(9 -x²)) = 1
24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators
x⁴ -37x² +36 = 0 . . . . . put in standard form
(x² -36)(x² -1) = 0 . . . . . factor
Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.
The length of DE is 1.
HELPPPPP HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Month: no
(13,33)…. Yes
Time,distance: yes
(1,2)… no
Age, shoe size: no
(x,y) yes
Step-by-step explanation:
Step-by-step explanation:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).
First row:
Months (input) and Days (output) = not a function. The month of February has two corresponding outputs: Days of 28 and 29.
{(13, 33), (17, 25), (22, 22), (25, 17), (33, 17)} = this relation is a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).
Plot of Distance (mi) vs. Time (h): the graph represents a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).
Second row:
{(1, 2), (5, 2), (5, 4), (7, 6), (11, 6), (11, 8)}: this relation is not a function. The input value of 5 has two corresponding output values: 2 and 4. The same goes with the input value of 11, which has two output values of 6 and 8.
Table of Age (x) and Shoe Size (y): does not represent a function. The x = 15 has two corresponding y-values: 10 and 10.5.
Diagram of x and y (bottom-left corner): this relation represents a function. Each input value corresponds to exactly one output value.
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Good morning! CAN SOMEBODY HELP ME ASAP THIS IS NY LAST QUESTION!
Answer:
3.......................
-5 -3 -8 what is the answer
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Simplification :
[tex] - 5 - 3 - 8[/tex][tex] - 16[/tex]Answer:
-16
Step-by-step explanation:
For what values of x is f(x) = x a function?
Answer:
All real values of x.
Step-by-step explanation:
f(x) = x passes the line test, as it is a simple line with a slope of 1, so by that reasoning, f(x) = x is always a function.
7. Bob has saved 32 gummi bears. His mom
gives him 3 gummis every 2 days.
What is the rate of change?
[tex]5 {x}^{2} - 2x + 3x = 9 {x}^{2} + 9x[/tex]
please fast please fast
Answer:
[tex]5 {x}^{2} - 2x + 3x = 9 {x}^{2} + 9x \\ 5 {x}^{2} + x = 9 {x}^{2} + 9x \\ 5 {x}^{2} - 9 {x}^{2} = 9x - x \\ - 4 {x}^{2} = 8x \\ - 4x = 8 \\ x = \frac{ - 8}{4} = - 2 \\ x = - 2 \\ thank \: you[/tex]
Answer:
x = -2
simplify:
-4x^2 - 8x = 0
Please answer question A) please ASAP ☺️
Answer:
Given function:
P(n) = 0.4n + 5.7Find its inverse:
x = 0.4[tex]P^{-1}[/tex](x) + 5.70.4[tex]P^{-1}[/tex](x) = x - 5.7[tex]P^{-1}[/tex](x) = (x - 5.7)/0.4 [tex]P^{-1}[/tex](x) = x/0.4 - 5.7/0.4[tex]P^{-1}[/tex](x) = 2.5x - 14.25a) Correct choice is B
[tex]P^{-1}[/tex](x) is the amount of vitamins n for a price of x dollars.b) See above the equation of inverse function.
c) Find the value of inverse function when x = 8.3
[tex]P^{-1}[/tex](8.3) = 2.5*8.3 - 14.25 = 6.5 gramsWhat is i^-2
please help urgently
1
-1
i
-i
Reggie records the lengths of different fabrics he has.
Reggie is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.
The total length of fabrics = [tex]\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}[/tex]
= [tex]\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}[/tex]
The LCM of 4 and 8 is 8.
So, the expressions will be simplified by adding all the terms with the same denominator.
= [tex]\dfrac{49}{8}[/tex]
The fabric used by Reggie = [tex]2\dfrac{3}{4}[/tex]
= [tex]\dfrac{11}{4}[/tex]
The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.
Fabric left =[tex]\dfrac{49}{8} - \dfrac{11}{4}[/tex]
The LCM of 8 and 4 is 8
Fabric left = [tex]\dfrac{49}{8} - \dfrac{22}{8}[/tex]
= [tex]\dfrac{27}{8}[/tex]
So, he is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.
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What is another way to write 4^6?
6+6+6+6
4+4+4+4+4+4
4×4×4×4×4×4
6×6×6×6
Hello there!
Another way to write 4^6 is 4×4×4×4×4×4.
Because 4^6 means 4 times 4 times 4 times 4 times 4 times 4.
I hope this helps you!
~Just a joyful teen
[tex]*SilentNature*[/tex]
[tex](GraceRosalia)[/tex]
Answer:
4,000,000
is this powers of ten? plz tell me
help please i do not understand
Step-by-step explanation:
x. y=3x². y=3^x
0. 0. 1
1. 3 3
2. 12. 9.
hope this helps you. Just put the value of x in the equations of y.
5715 divided by 84 into fraction
Answer:
lowest form is 1905/28 or 68 1/28 as a mixed number
Step-by-step explanation:
5715/84
÷3 from both sides
5715÷3=1905
5715÷3=28
Find all real solutions of the equation (x- 4)^2 = 9.
Answer:
x = 1 and 7
Step-by-step explanation:
I GOTCHU!
x-4 = 3, no matter what
x can be 1 or 7!
the anser is the second picture on moby max
A hot air balloon is at an elevation of 1,250 feet. Its elevation begins to change at a rate of -22.5 feet per minute. How many minutes will it take the balloon to descend to an elevation of 935 feet? Use the Distance Formula: d = rt
Let y represent the number of feet and x represent the number of minutes. Convert 22 1/2 to decimal form: 22.5
y = -22.5x
Plug in -315 for y
-315 = -22.5x
divide both sides by -22.5
14 = x
It will take 14 minutes.