Step-by-step explanation:
x + y = 200
x : y = 4 : 6
x + y = 200
y = 200 - x
x : y = 4 : 6
x : (200 - x) = 4 : 6
6.x = 4(200 - x)
6x = 800 - 4x
10x = 800
x = 800/10
x = 80
y = 200 - x
y = 200 - 80
y = 120
(x,y) = (80,120)
Remember the definition of csc(x).
To graph y = csc-1(x) on the calculator, which expression should be typed in the calculator
If there's no built-in function for csc⁻¹, you can use the identity
csc⁻¹(x) = sin⁻¹(1/x)
which works because if we replace x = csc(y), for instance, we end up with
csc⁻¹(csc(y)) = sin⁻¹(1/csc(y))
and over an appropriate interval, the left side reduces to y, while 1/csc(y) = sin(y) so that the right side also reduces to sin⁻¹(sin(y)) = y.
Answer:
it is c - y = sin -1 (1/x)
Step-by-step explanation:
EDGE whatever the year
The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Find (f^-1)'(7).
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Then the value of (f⁻¹)'(7) is 1/5
How did we arrive at this value?To find (f⁻¹)'(7), we can use the inverse function theorem. The formula for the derivative of the inverse function is given by:
[tex](f^{-1})'(y) = \frac{1}{f'(x)},[/tex]
where y = f(x). Since we know that f(2) = 7 and f'(2) = 5, we have x = 2 and y = 7. Substituting these values into the formula:
[tex](f^{-1})'(7) = \frac{1}{f'(2)} = \frac{1}{5}.[/tex]
Therefore,
[tex](f^{-1})'(7) = \frac{1}{5}.[/tex]
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The hour hand on a certain clock is 8.2 cm long. Find the tangential speed of of the tip of this hand during normal operation.
The tangential speed of the tip of this hour hand is 0.143 mm/s.
The tangential speed v = rω where r = length of hour hand = 8.2 cm = 0.082 m and ω = angular speed = 2π/T where T = period of hour hand = 60 min = 60 min × 60 s/min = 3600 s.
Substituting the values of the variables into the equation, we have
v = rω
v = r2π/T
v = 0.082 m × 2π/3600 s
v = 0.164π/3600 m/s
v = 0.5152/3600 m/s
v = 0.000143 m/s
v = 0.143 mm/s
So, the tangential speed of the tip of this hour hand is 0.143 mm/s.
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Answer:
0.00001 m/s, 1 X 10^-4 m/s, 0.000012 m/s, or 1.2 X 10^-5 m/s
–––––––––––––––––––––––––––––––––––––––––––––––––––––––
Step-by-step explanation:
12 • 60 = 720
720 • 60 = 43,200
8.2 / (43200•24) = ~0.00001 m/s
David is twice as old as Abby. If a represents Abby’s age, which expression represents David's age?
A) 3 + a
B) 2 + a
C) 2a
D) 3a
Simplify the equation.
(-2-5i)(-7+2i)
Answer:
24+31i
Step-by-step explanation:
pls help i really need a math professional im struggling.
Answer:
20
Step-by-step explanation:
16/x = 80/100
16/x because 16 is your part and you are trying to find your whole (x)
80 is your part and 100 is your whole (this is from percent)
Cross multiply:
1600 = 80x
1600/80 = x
x = 20
Step-by-step explanation:
16×100÷80
=20
THE TOTAL IS 20
What is the annual premium for $75,000, 10 year life insurance policy for a 40 year old male (Put answer to two decimal places)?
Life Insurance Chart
Age at Issue Term Insurance
Male Fem 10 year 20 year Straight Life
20 23 $2.50 $3.80 $12.67
25 28 $3.25 $5.84 $15.66
30 33 $3.82 $7.93 $18.98
35 38 $4.55 $10.33 $22.38
40 43 $5.78 $13.38 $28.77
45 48 $7.53 $17.56 $31.90
Answer:
About $437.25
Step-by-step explanation:
Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23
The total annual premium = $75000
Using the data in the table :
Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83
The annual premium for $75,000 ;
Premium per $1000 × ($75000/$1000)
Annual premium = $5.83 × ($75,000/1000)
Annual premium = $5.83 × 75 = $437.25
Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25
Which of the following statements is false? (Math)
Step-by-step explanation:
Can You Explain In Brief?
Answer:
where are the statements
please check it
factorise completely 15ab+24bc
To factor an expression is to rewrite the expression in a factored form
The factored expression of 15ab + 24bc is 3b(5a + 8c)
The expression is given as:
15ab + 24bc
Factor out b from the expression
15ab + 24bc = b(15a + 24c)
Factor out 3 from the expression
15ab + 24bc = 3b(5a + 8c)
The expression can no longer be factorized.
Hence, the factored expression of 15ab + 24bc is 3b(5a + 8c)
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The graph of Fx), shown below, has
the same shape as the graph of
G(X)=x2 but is shifted right by 3 units
and down by 2 units. Write the
equation for F(x)
Answer:
f(x) = (x - 3)²- 2
Step-by-step explanation:
Given the graph of f(x), where it has the same shape as the graph of g(x) = x², but is shifted right by 3 units, and down by 2 units.
The horizontal translation of the parent graph parabola, g(x) = x², is represented by y = (x - h)², where the graph shifts by h units to the right, such that h > 0.
The vertical translation of the parent graph is represented by y = f(x - h)² - k, where the graph is vertically translated by |k | units downward, such that k < 0.
Therefore, the equation that represents the vertical and horizontal translations of the graph is: f(x) = (x - 3)²- 2.
Josh pays 7.59$ for 2.2 pounds of ground Turkey. what is the price per pound of turkey
Answer:
$3.45 per pound of turkey.
Step-by-step explanation:
$7.59 for 2.2[0] pounds of turkey
x = 1 pound of turkey.
Divide 7.59 ÷ 2.20
$3.45 is your answer.
You could also use a ratio table, but with lots of trial and error!
Hope this helps :)
Answer:
the ans is 3.45$... good luck
What is the slope of the line shown?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, it is going upwards from left to right so we know it'll be positive. Then we do the following:
[tex]\frac{rise}{run}=\frac{change.in.y}{change.in.x}=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}=\frac{0--1}{2-0}=\frac{0+1}{2-0}=\frac{1}{2}[/tex]
("." in the second fraction is for separate words)
So the slope is [tex]\frac{1}{2}[/tex]
Hope this helps, have a nice day! :D
Guwani invested some money in a bank at rate of 6% per annum. At simple interest, after 9 years, she got Rs. 8470. How much did she invest?
Answer:
Rs.5500 is the correct answer .
Doing a basketball game Michael is six out of the 12 baskets he attempted if he has the same rate of errors tomorrow and he attends 48 baskets how about how many shots will he miss
Answer:
24
Step-by-step explanation:
the first time the rate was half the baskets, so the second time staying at the same rate it would be half the baskets again, which is 24.
How do u solve this bruv Pls help unfortunately i need to show work
Answer:
Step-by-step explanation:
Use vector addition
d = √(15² + 30²) = √1125 = 33.54...≈ 34 m
Find the perimeter and area of the following parallelogram.
Answer:
hope this helps
check the picture attached for steps
which of these is the correct answer?
Answer:
2 11/12 Square feet
Step-by-step explanation:
What we do is convert the mixed numbers into improper fractions
2 x 2 + 1 = 5
1 x 6 + 1 = 7
our new fractions are 5/2 and 7/6
find the least common denominators LDC
new fractions 15/6 and 7/6
multiply 15/6 x 7/6= 35/12
simplify into mixed number = 2 11/12
What is the first step in order to solve the following equation: 5(x - 4) + 2 = 15
what is the volume of a figure with that is 10 inches wide, 3 inches tall and 5 inches long?
what the holligram
i dont know
PLEASE HELP
find b in y=mx+b
the points are (4,2) and (11,18)
PLEASE SHOW YOUR WORK
thank you!!
Answer:
b = -50/7
Step-by-step explanation:
1. The formula to find y-intercept (b) given two points is [tex]b = y_1 - m * x_1[/tex], but let's first find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{18-2}{11-4}[/tex] [tex]\frac{16}{7}[/tex]2. Now that we have the slope, let's use the formula for finding the y-intercept.
[tex]b = 2 - \frac{16}{7} *4[/tex] [tex]b = 2-\frac{64}{7}[/tex] [tex]b = 2 - 9\frac{1}{7}[/tex] [tex]b = -7\frac{1}{7}[/tex] [tex]b = \frac{-50}{7}[/tex]Therefore, the y-intercept is -50/7.
Which is the same function-3x+7=y
Answer:
Step-by-step explanation:
Help help help help please thank you good luck
Are the graphs of y=3x-5 and 9x+3y=1 parallel, perpendicular or neither?
Answer:
The two lines are neither parallel nor perpendicular to one another.
Step-by-step explanation:
The slope [tex]m[/tex] gives the orientation of a line.
Make sure that the equation of both lines are in the slope-intercept form [tex]y = m\, x + b[/tex] (where [tex]m\![/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept) before comparing their slopes.
The equation of the first line [tex]y = 3\, x - 5[/tex] is already in the slope-intercept form. Compare this equation with the standard [tex]y = m\, x + b[/tex]. The slope of this line would be [tex]m = 3[/tex].
Rewrite the equation of the second line [tex]9\, x + 3\, y = 1[/tex] to obtain the slope-intercept equation of that line:
[tex]3\, y = -9\, x + 1[/tex].
[tex]\displaystyle y = -3\, x + \frac{1}{3}[/tex].
Thus, the slope of this line would be [tex]m = (-3)[/tex].
Two lines are parallel to one another if and only if their slopes are equal. In this question, [tex]3 \ne (-3)[/tex]. Thus, the two lines are not parallel to one another.
On the other hand, two lines are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex]. In this question, [tex]3\times (-3) = (-9)[/tex], which is not [tex](-1)\![/tex]. Thus, these two lines are not perpendicular to one another, either.
how many machines will be needed to complete a task in 8 days, given that 4 machine can complete the same task in 12 days
Answer:
6 machines
Step-by-step explanation:
Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)
[tex] \frac{1}{x} [/tex]
rate of 4 machines would be
[tex]1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days[/tex]
[tex] \frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines[/tex]
Natalie is making a scrapbook. She has 12 stickers and she still needs to make 4 more pages. She wants each page to have the same number of stickers. Which expression can be used to find how many stickers Natalie should include on each page? A) 12 - 4 B) 12 + 4 12 = 4 D) 12 x 4 2)
Answer:
D
Step-by-step explanation:
The true answer is 12 divided by four bu the closest I can see is the last one
inverse the multiplier into its reciprocal fraction and proceed into multiplication of fractions. 1 1 1 4 8 Soluuon: 1 3 1 1 3 1 9 Solution
Answer:
Step-by-step explanation:
To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.
To find
Step 1:
Rewrite it as
.
Step 2:
Multiply the numerator and the denominator by the reciprocal of
.
What are all the measures
Answer:
Step-by-step explanation:
in the picture
A study examined blood pressure rates during three specific times in a 24 hour period within three groups. Which is the appropriate statistic to use in analysis
The appropriate statistic to use in the analysis is that of repeated measures.
Repeated measures is a term for a way of collecting, analyzing, and evaluating statistics that involve multiple measures of the same variable or Subject.
According to the above, repeated measures are the appropriate statistic for the analysis of the blood pressure rate during three specific moments.
Note: This question is incomplete because the options are missing. Here are the options.
T-TestLinear regressionMeanRepeated measuresLearn more in: https://brainly.com/question/20982963?referrer=searchResults
The teachers bag weighs 5 pounds. How many ounces does his bag weigh?
Answer:
80.00
Step-by-step explanation:
His Bags weighs 80.00 in Ounces
Write the equation (in factored form) given the following conditions:
vertical asymptotes x= 2, x = -17;
horizontal asymptote y = 6
[tex]\\ \sf\longmapsto y=\dfrac{(x+2)}{(x+2)(x-17)}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x(x-17)+2(x-17)}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-17x+2x-34}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-15x-34}[/tex]
y=6[tex]\\ \sf\longmapsto 6=\dfrac{x+2}{x^2-15x-34}[/tex]
[tex]\\ \sf\longmapsto 6(x^2-15x-34)-x-2=0[/tex]
[tex]\\ \sf\longmapsto 6x^2-90x-204-x-2=0[/tex]
[tex]\\ \sf\longmapsto 6x^2-91x-206=0[/tex]
Done
_________
[tex]\:[/tex]
Answer in the picture.
