Answer:
b = 5 ± √5 / 5
Step-by-step explanation:
Given :
5b² + 4 = 10bSubtract 10b from both sides :
5b² - 10b + 4 = 10b - 10b5b² - 10b + 4 = 0Splitting the middle term :
b = 10 ± √100 - 4(5)(4) / 10b = 10 ± √20 / 10b = 10 ± 2√5 / 10b = 5 ± √5 / 5One week, kevin earned $492.00 at his job when he worked for 20 hours. if he is paid the same hourly wage, how much would he make the next week if he worked 3 hours?
Answer:
$73.80
Step-by-step explanation:
First we will find Kevin's hourly wage. We can do this by dividing his total pay by the number of hours he worked.
$492 / 20 hours = $24.60/hour
Now we can find how much he will make the next week.
$24.60/hour * 3 hours = $73.80.
That is your answer
- Kan Academy Advance
Please help! I'm timed.
Answer:
M=-10/4
M=-5/2
-5/4+m=-15/4
Step-by-step explanation:
Original equation:
3/4+m=-7/4
=-5/2
the other answers mentioned above is also -5/2
Hope that helps!
Write as a percentage.
30/50
Given the infinite series: [tex]\frac{1}{(1)(3)} +\frac{1}{(3)(5)}+\frac{1}{(5)(7)}+...[/tex]
a. Rewrite the series in sigma notation
b. Write an explicit formula for the nth partial sum
a) The infinite series in sigma notation is described by this expression:
[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex] (1)
b) The explicit formula for the n-th partial sum is represented by the following expression:
[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex] (2)
How to derive an expression for a monotonous series
An infinite series is monotonous when it is bounded, that is, when the limit of the infinite series exists. In this case, we have an evidence of monotony in the denominators of the terms of the given series. In two consecutive terms, the latter always have a denominator greater than the former.
a) The series in sigma notation is now described below:
[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]
b) The explicit formula for the n-th partial sum is defined by the expression within the sum, which is now presented below:
[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]
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BC = ?
please help me
Answer:
tan65=?/7
7*tan65=?
=15.0115
Find the value of x.
11.4
12.6
18.9
15.3
Which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2
The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
How to determine the sum or difference?From the complete question, we have the following expressions:
(-x²+2x+3) and (-x²-2x-1)
Add both expressions
(-x²+2x+3) + (-x²-2x-1)
Expand
-x²+2x+3 -x²-2x-1
Collect the like terms
-x² -x² + 2x - 2x + 3 -1
Evaluate the like terms
-2x²+2
Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
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PARALLEL LINES
Find x and y.
can someone do this for me please?! Just the answer pls
Answer:
1 is A. 4
2 is Center: (-3, -4) and radius: 7
3 is C
Let me know if you do change your mind and want work shown !
In 2014 the population of Kenya was estimated to be 45,121,040 with a growth rate of 2.7%. Question 1 Use the exponential growth formula to write an equation that estimates the population y in terms of the time t. Enter your answer in the box. Then apply the exponential growth formula to estimate the population of Kenya in 2020. Round to the nearest whole number
Answer:
y = 45,121,040×1.027^t
Step-by-step explanation:
An exponential growth equation is generally of the form ...
value at time t = (initial value)(growth factor)^t
where the growth factor is the multiplier for a period equal to one time unit.
Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...
y = 45,121,040×1.027^t . . . . where t = years after 2014
Sarah is selling brackets and earrings to make money for summer vacation. She earns $2 from each bracket and $3 from each pair of earrings. She needs to make at least $210 what possible combination of brackets and earrings that Sarah can sell to reach her goal
Answer:
$16 dollars because I got it right
Ac and db are chords that intersect at point h. a circle is shown. chords a c and d b intersect at point h. the length of a h is 20 minus x, the length of h b is 12 minus x, the length of d h is x 4, and the length of h c is x. what is the length of line segment db? 4 units 8 units 16 units 20 units
The chords ac and db are intersecting chords, and the length of line segment db is 16 units
How to determine the length of segment db?The given parameters are:
ah = 20 - x
hb = 12 - x
dh = x + 4
hc = x
Start by calculating the value of x using the following intersection chord equation
ah * hc = dh * hb
So, we have:
(20 - x) * x = (x + 4) * (12 - x)
Solve for x
x = 4
The length of segment db is calculated using:
db = dh + hb
So, we have:
db = x + 4 + 12 - x
Substitute 4 for x
db = 4 + 4 + 12 - 4
Evaluate
db = 16
Hence, the length of line segment db is 16 units
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Answer:
c
Step-by-step explanation:
Describe how to identify the lines of symmetry in the shape below.
9000 dollars is placed in an account with an annual interest rate of 8% how much will be in the account after 17 years to the nearest cent
Which expression is not equivalent to the other three?
Explanation:
Choice A simplifies to 9n-8 after combining the like terms -7n+16n to get 9n
Choice C simplifies to 9n-8 for similar reasoning. The n+8n turns into 9n
This shows choices A and C are equivalent to choice D. Choice B isn't the same because 9(n-8) = 9n-9*8 = 9n-72. Use the distributive property.
Answer:
B. 9(n - 8)
Step-by-step explanation:
- 8 - 7n + 16n
-8 (-7n + 16n or 16n - 7n)
-8 + 9n
9n - 8
9(n - 8)
9n - 72
n - 8 + 8n
9n - 8
9n - 8
A right rectangular pyramid is sliced vertically (down) by a plane passing
through the vertex of the pyramid. what is the shape of the cross-section?
A right rectangular pyramid when sliced vertically, the shape of the cross-section is known as Triangle.
What is A triangle?This is known to be a kind of shape that is said to be in a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.
Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid, the new shape of the cross-section is a triangle.
See full question below
A right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid. What is the shape of the cross-section?
A. Rectangle
B. Pyramid
C. Triangle
D. Trapezoid
See full question below
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Find the following ratios for two similar figures.
If the side ratio is 4:17, then the area ratio is.....?
What is the value of y?
a.) 17.25
b.) 33
c.) 37
d.) 39
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25
15-(7+3x)=16-(4x-1)
please give me a step by step answer, I don't understand the rules to removing parenthasees and I keep getting different answers :( pls help
Answer:
Step-by-step explanation:
What is 9x8-7+4x10-2x7
Answer:
91
Step-by-step explanation:
9x8-7+4x10-2x7
72-7 + 40- 2x7
72 - 7 + 40 - 14
65 + 40 - 14
105 - 14
= 91
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. how long is the dart in the air? round to the nearest tenth. 0.7 seconds 0.8 seconds 1.5 seconds 1.6 seconds
Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.
What amount of time did the dart spend in the air?This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.
Plugging in the given values above, we find that the yard dart spent a total of:
= 1.6 seconds in the air
In conclusion, option D is correct.
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The two polygons are similar.
1. Find X
2. Find Y
Answer:
x=11
y=9
Step-by-step explanation:
place both and solve for x and y.
Which of the following statements could be translated to the equation n - 5 = -2?
- A number less than five equals negative two.
- The difference between a number and five is negative two.
- If five is subtracted from a number, the result is two.
- Five less a number is equal to two.
please send help :')
Answer:
Answer would be B
Step-by-step explanation:
First, A doesnt make sense, since it isn't a ineqality.
C doesnt make sense because if 5 is subtracted form a number n, it is -2, not 2.
D doesnt work because 5 less a number (-5) is not 2, it is -2.
So B works, because the difference between n and 5 (n-5) is -2.
Find the area of the triangle ABC with the coordinates of A(10, 5), B(15, 15), and C(30, 9).
A = units²
Answer: 90
Step-by-step explanation:
In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?
Answer:
18.43 units
Step-by-step explanation:
132/360 cause 360 degrees in circle
π4^r=area of totoal
16π= area
16π*132/360=18.4306769011
in the figure below, lines p and q are parallel. What do you notice?
35 points
Answer:
Answer:
A
Step-by-step explanation:
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
Answer:
Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.
3. Mohan drives a car at a uniform speed of 60
km/hr, find how much distance is covered in 90
minutes?
Answer:
90
Step-by-step explanation:
60 kmhr for an hour and a half
i hour 60 km
half hour 30 km
60 + 30 =90
What is the area of the figure shown?
Check the picture below.
now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.
so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}[/tex]
What is the minimum or maximum value of the given function
Answer:
It has a minimum of -3 and a unkown maximum
Step-by-step explanation:
Rob owns stock in dowc beverage co. and agram imports. he owns 86 more shares of agram imports, which pays a dividend of $5.15 per share, than he does of dowc beverage co., which pays $6.52 per share. if rob receives $4,585.15 in dividends annually, how many shares of agram imports does he own? a. 535 shares b. 635 shares c. 398 shares d. 441 shares
If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
What is a dividend?A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.
Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.
Data and Calculations:Dowc Beverage Co. Agram Imports
Dividend per share $6.52 $5.15
Number of shares x x+ 86
Number of shares 355 (441 - 86) 441 (355 + 86)
Total dividend received $2,314.60 ($4,585.75 - $2,271.15)) $2,271.15
which is equivalent to $2,314.60 ($355 x $6.52)
Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.
Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
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