Solve Sec(2x)-4=0 for the first two positive solutions. thanks!
sec(2x) - 4 = 0
sec(2x) = 4
1 / cos(2x) = 4
cos(2x) = 1/4
2x = cos⁻¹(1/4) + 2nπ or 2x = -cos⁻¹(1/4) + 2nπ
(where n is any integer)
x = 1/2 cos⁻¹(1/4) + nπ or x = -1/2 cos⁻¹(1/4) + nπ
The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so
x = 1/2 cos⁻¹(1/4) or x = π - 1/2 cos⁻¹(1/4)
x ≈ 0.659 or x ≈ 2.483
which term of the series 2187,729,243...is 1/9
Answer:
Step-by-step explanation:
Givens
a = 2187
r = 1/3
L = 1/9
what is n
Formula
L = a*r^(n-1)
1/9 = 2187 * (1/3)^(n-1)
1/(9 * 2187) = (1/3)^(n - 1)
1/19683 = (1/3)^(n - 1)
=================
You need to break 19683 down into its prime factors.
19683 = 3* 729
19683 = 3 * 3 * 243
19683 = 3 * 3 * 3 * 81
81 = 3^4 so there are 4 more threes in the breakdown.
19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3
1/19683 = 1/(3)^(7-1)
1/9 is the 6th term in the series.
Set up a proportion and solve. Round answers to the nearest tenth.
What is 20% of 72?
1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?
回答: 正直わからない
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走り回ってあなたを捨てるつもりはない
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決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
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（ああ、あきらめて）
（ああ、あきらめて）
（ああ）決して与えるつもりはない、決して与えるつもりはない（あなたをあきらめる）
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私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
気分を伝えたいだけです
お奨めはあなたに理解させる
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
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A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3
Answer:
y = -3x-1
Step-by-step explanation:
Point-slope equation of a line
y-y1=m(x-x1)
(x1,y1) are coordinates of a point in the line = (-3,8)
m is the slope of the line = -3
Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)
y-8=-3(x+3)
y-8=-3x-9
+8 +8
y = -3x-1
None of the options are correct
4(11 + 7) ÷ (7 – 5) Simplify the expression.
Answer:
36
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
Use distributive property: 11+28 / 7-5
Add: 11+28 ( 39 ) Subtract: 7-5 ( 2 )
Divide: 39/2 ( 19.2 )
A license plate is to consist of digits followed by uppercase letters. Determine the number of different license plates possible if the first and second digits must beâ odd, and repetition is not permitted.A. 71, 610, 739, 200,000 B. 795, 674, 880,000 C. 7, 894, 720 D. 8, 840, 832,000
Answer:
D. 8, 840, 832,000
Step-by-step explanation:
The computation of the number of license plates possible is shown below:
Here the first position could be taken by any of the five odd numbers
The second position could be taken by any of the 4 odd numbers
The third position could be taken by the eight left numbers
The fourth position could be taken by another seven numbers
Als the first digit could be any of the 26 upper case letters and so on
So,
= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22
= 8,840,832,000
Therefore option D is correct
What comes between 1/2 and 2/3
Answer:
3/5
Step-by-step explanation:
1/2 can be written as 50%
2/3 can be written as 66.66%
3/5 can be written as 60%
Here
Step-by-step explanation:
The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.
What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?
2 units
4 units
8 units
16 units
Answer:
4 Units
Step-by-step explanation:
Edge 2021
Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
x² + y² - 10x + 6y = -18
Then, we start the steps to complete the squares, as follows:
x² - 10x + y² + 6y = -18
(x - 5)² + (y + 3)² = -18 + 25 + 9
(x - 5)² + (y + 3)² = 16
Then, the radius is found as follows:
r² = 16 -> r = 4 units.
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(x-8)(2x+5)=0 solve the equation
Answer:
x=8
Step-by-step explanation:
x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8
Hope this helps and have a great day :)Emily simplified this expression.
Expression: (5−2)2+23×4
Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45
Emily made a mistake. Which step shows her first mistake?
Step 1
Step 2
Step 3
Step 4
answer in percent 20/80 = x/100
please help!! find the reciprocal of these numbers.
6.2
-2.3
0.9
-22.7
Answer:
They have its own reciprocal
Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You
Answer:
draw the diagram and multiply 5x20
If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP
Answer:
-30
Step-by-step explanation:
5-(-25)
=30
(has nothing to do with wind speed)
PLS GIVE BRAINLIEST
Integers are those numbers that can be represented positively or negatively.
Integers are never in decimal numbers.
Integers are whole numbers with positive signs and negative signs.
Below zero degrees means the temperature is in negative value.
The integer that represents the wind chill temperature is -25°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Integers are those numbers that can be represented positively or negatively.
Integers are never in decimal numbers.
Integers are whole numbers with positive signs and negative signs.
Temperature outside = 5°F
The wind is blowing 15 miles an hour.
The wind chill makes it feel like the temperature is 25°F below zero.
Below zero degrees means the temperature is in negative value.
This can be represented by an integer as,
= -25°F
Thus,
The integer that represents the wind chill temperature is -25°F.
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Expressions equivalent to z+(z+6)
Answer:
2z+6
Step-by-step explanation:
Answer:
z+ (z+6) =2 (z+3)
Step-by-step explanation:
the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)
A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.
Answer:
the anser is 1046.265 because in
492.36=12hour
? =51/2hour then criscros both side 492.36*25,5/12=492.36
There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:
36
Step-by-step explanation:
Number of new houses = 60
Number of houses sold last month = (1/4) of 60
[tex]= \frac{1}{4}*60[/tex]
= 15
Remaining houses = 60 - 15 = 45
Number of houses sold this month = (1/5) of 45
[tex]=\frac{1}{5}*45\\\\= 9[/tex]
Number of houses that are left = 45 - 9 = 36
a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?
Given:
Length of the rectangle = [tex]x^3y^4[/tex] inches
Width of the rectangle = [tex]xy^7[/tex] inches
To find:
The ratio of the length of the rectangle to width of the rectangle.
Solution:
We have,
Length = [tex]x^3y^4[/tex] inches
Width = [tex]xy^7[/tex] inches
So, the ratio of the length of the rectangle to width of the rectangle is
[tex]Ratio=\dfrac{Length}{width}[/tex]
[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]
[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]
Cancel out the common factors.
[tex]Ratio=\dfrac{x^2}{y^3}[/tex]
[tex]Ratio=x^2:y^3[/tex]
Therefore, the required ratio is [tex]x^2:y^3[/tex].
Stuck on this last question
Answer:
C.
because both of those decimals can be turned into fractions.
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
C
Step-by-step explanation:
.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational
what makes this number special 8549176230
Uhm hope this help (:
8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.
Reality Check 4: Bringing the NBA into Math 0980
Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
Must show all work to receive credit! Show your work in the box below
Answer:
its the same steps as the other one I answered for you except subtract
Step-by-step explanation:
x-1
Answer:
f(x) - g(x) = 2x^2 - x - 1
Step-by-step explanation:
f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2
f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)
= 2x^2 + 4x - 3 - 5x + 2
= 2x^2 - x - 1
4x2 divided by 3 please help thanks you
Answer:
2 2/3 or 2.6... in decimal
Step-by-step explanation:
4*2 = 8
8/3 = 2 2/3
What is 727.526 in word form
Answer:
I believe that's a decimal point
Step-by-step explanation:
If yes then,
Seven hundred and twenty seven point five two six
Answer:
727.526 in word form is :Seventy-five thousand seven hundred and twenty-six
Step-by-step explanation:
hope this helps :)
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, –0.04, –0.14
Answer:
-.1
Step-by-step explanation:
Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for a
monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr
supplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is the
charge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cis
the monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.
That is, express C as a function of x.
Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr
Step-by-step explanation: I took this test before so I hope this helps gl on the test
a) The charge for using 300 kWhr in a month is $ 32.41
b) The charge for using 700 kWhr in a month is $ 59.30
c) The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The monthly charge = $ 7.58
The monthly charge for per kWhr = $ 0.08275
The monthly charge per kWhr over 400 kWhr = $ 0.06208
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Now ,
a)
The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300
= 7.58 + 24.825
= $ 32.405
Therefore , The monthly charge for 300 kWhr is $ 32.41
b)
The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
The monthly charge for 700 kWhr =
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Substituting the value for x as 700 , we get
= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )
= 40.68 + 18.624
= $ 59.304
Therefore , The monthly charge for 700 kWhr is $ 59.304
c)
Let x represent the number of kWhr used and C be the monthly charge for x kWhr.
The model can be split into 2 parts of condition , where
For , 0 ≤ x ≤ 400
The function is 7.58 + 0.08275x
For , x > 400
The function is 15.848 + 0.06208x
Therefore ,
The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304
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What is 8 divided by 3/5= ?
Answer:
0.075
Step-by-step explanation:
Hey how you doing? Hope everyone is doing great! I have a quick question for math, How do you find the unit rate in slopes and graphs?
Answer:
Divide the numerator and denominator of the given rate by the denominator of the given rate.
Step-by-step explanation:
4x + 5y = -30
slope intercept form
Slope intercept form of the equation 4x + 5y = - 30 is written as,
⇒ y = - 4/5x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ 4x + 5y = - 30
Now, We know that;
Slope intercept form of the equation is,
⇒ y = mx + c
Here, The equation is,
⇒ 4x + 5y = - 30
Subtract 4x both side,
⇒ 4x + 5y - 4x = - 30 - 4x
⇒ 5y = - 4x - 30
Divide by 5 both side, we get;
⇒ y = - 4/5x - 6
Hence, The Slope intercept form of the equation is,
⇒ y = - 4/5x - 6
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