Answers
Related Questions
To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?
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c² = a² + b² − 2ab cos(C)
Applying this in our problem, we get:
AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard
How much greater is the median number of pairs of shoes in the inventory at the Golf pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?
Answers
To get this answer, you find the median of the golf pro shop data (a = 40) and the median of the tennis pro shop data (b = 20). Then you subtract to get a-b = 40-20 = 20. The median of any box plot is the vertical line inside the box plot.
Answer:
20
Step-by-step explanation:
2/3 (a-b) =c, solve for a
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Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Answers
25c -.05(25c) = 66.50
0.95*25*c = 66.50
c = 66.50/(0.95*25) = 2.80
The best quality of editing that Maria can afford is ...
Basic Proofreading
What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?
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Solution:
A is the correct option.
Explanation:
We have been given that [tex](2r - 3s)^{12}[/tex]
The [tex]r^{th}[/tex] term of a binomial expansion [tex](a+b)^n[/tex] is given by
[tex]t_r=^{n}C_{r-1}a^{n-r+1}b^{r-1}[/tex]
For the given binomial expansion, we have
[tex]a=2r,b=-3s,r=2,n=12[/tex]
On plugging this value in the above formula, we have
[tex]t_2=^{12}C_{2-1}(2r)^{12-2+1}(-3s)^{2-1}\\\\t_2=^{12}C_1 (2r)^{11}(-3s)^{1}\\\\t_2=\frac{12!}{1!11!}(2)^{11}r^{11}(-3)s\\\\t_2=12\cdot (2)^{11}(-3)r^{11}s\\\\t_2=-73728r^{11}s[/tex]
Therefore, the second term is -73728r^11 s
A is the correct option.
Bruno is designing his next skateboard. the skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of trucks, 4 types of bearings, and 2 types of wheels. how many different skateboards can bruno create
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Answer:
2184 is what i got.
Step-by-step explanation:
The perimeter of a rectangle is 68cm the length is 4cm less than three time its width write a system of equation to find the dimension of the rectangle
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Which number is irrational A)25.23 B) 8 C)square root of 48
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Reason:
=> √48 = √(2×2×2×2×3) = 4√3
As, we know√3 is irrational therefore √48 is also irrational no.
Hope this helps!
Short answer: C.
Why?
When a number is irrational, that means it goes on forever. It can't be A, because we know the end is .23. It can't be B because that is just a whole number. The only one that would make sense is answer choice C. √48.
Hope this helped you! ♥
Find 2 positive real numbers that differ by 1 and have a product of 1
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B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
Need help on this as soon as possible!
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Area of the base of the prism: Ab=Area of the equilateral triangle
Height of the prism: h=6
Ab=A triangle= sqrt(3)/4*s^2
Ab=sqrt(3)/4*3^2
Ab=sqrt(3)/4*9
Ab=9 sqrt(3)/4
V=Ab*h
V=[9 sqrt(3)/4](6)
V=54 sqrt(3) /4
V=27 sqrt(3) / 2
V=27/2 sqrt(3)
Which property is used in the problem below?
2(x+4)=2x+8
the associative property
the commutative property
the distributive property
the additive identity property
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the answer is The distributive property hoped I helped
Danielle ran 3 1/8 miles on Tuesday and 4 and 1/2 miles on Wednesday and 5 1/4 miles on Thursday how far did Danielle run all together this
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3 1/8
4 1/2
5 1/4
the common denominator would be 8. so multiply all the fractions by the number that would give you 8 on the bottom of the fraction
1/8 x 1 = 1/8
1/2 x 4 = 4/8
1/4 x 2 = 2/8
now you would set up your problem
3 1/8 + 4 4/8 + 5 2/8
first add the fractions
1/8 + 4/8 + 2/8 = 7/8
then add the whole numbers
3 + 4 + 5 = 12
now put the number and fractions together and you have your answer
12 and 7/8
Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 0
16x + 9 = 4x
16x + 11 = 4x
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16x + 9 = 4x
Its B
Answer: The correct option is (B) [tex]16x+9=4x.[/tex]
Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :
[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the correct equation, we need to simplify the given equation (i).
From equation (i), we get
[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]
Thus, the required equation is [tex]16x+9=4x.[/tex]
Option (B) is CORRECT.
help a brother out lol
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[tex]( \frac{g}{f} )(x)= \frac{x^2-6}{3x+1} [/tex]
Since the denoinatorcan't be zero:
[tex]3x+1 \neq 0[/tex]
[tex]x \neq - \frac{1}{3} [/tex]
We can conclude that the correct answer is A. [tex]\frac{x^2-6}{3x+1} [/tex] [tex]x \neq - \frac{1}{3}[/tex]
A wise man once said, "500 reduced by 3 times my age is 200." What is his age?
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_________________________________________________________
Explanation:
_________________________________________________________
Let "x" represent the numerical value of [the man's age].
500 - 3x = 200 ; Solve for "x" ;
Subtract "500" from each side of the equation:
500 - 3x - 500 = 200 - 500 ;
to get:
- 3x = -300 ;
Now, divide each side of the equation by "-3" ; to isolate "x" on one side of the equation; & to solve for "x" ;
- 3x / -3 = -300 / -3 ;
x = 100 .
_______________________________________________________
The answer is: " 100 " .
_______________________________________________________
Coach miller bought 5.15 pounds of ground beef to make burgers The cost of ground beef is $3.40 for each pound.What was the total cost for all of the ground beef?
Answers
The total cost of the ground beef bought by Coach Miller is calculated by multiplying the quantity (5.15 pounds) by the price per pound ($3.40). The total cost comes to $17.51.
Explanation:The subject of the question is a practical application of multiplication in Mathematics. Coach Miller bought 5.15 pounds of ground beef at a rate of $3.40 per pound. To calculate the total cost, you simply need to multiply the quantity (5.15 lbs) by the price per unit ($3.40/lb).
So the calculation will be: 5.15 (pounds) × $3.40 (cost per pound) = $17.51 So, the total cost for all of the ground beef would be $17.51.
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The volume of a cylinder is 1323pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder? The height of the cylinder is nothing cm. (Simplify your answer.)
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h=V /(πr²)
h=27/π -exact value
h=1323/(3.14*(7)²)= 8.6 cm - approximate value
The height of the cylinder with a given volume of 1323
cmcubed and a radius of 7 cm, divide the volume by the area of the base. The correct height is 27 cm.
The height of a cylinder given its volume and the radius of its base. To find the height, we'll use the formula for the volume of a cylinder, which is V = ()h, where V is the volume, is the radius and h is the height.
Step-by-step calculation:
The volume of the cylinder is given as 1323cmcubed.
The radius (r) of the base of the cylinder is given as 7 cm.
Plugging these values into the formula: 1323cm³= (7 cm)² imes h.
Simplify the equation: 1323cm³ = 49cm² imes h.
Divide both sides by 49cm² to find the height: h = 1323cm³ / 49cm².
The resulting height is therefore 27 cm, which is the solution to the problem.
The height of the cylinder is 27 cm.
Please help !!
Question posted below
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24 - 12 = 12
convert the following complex number into its polar representation 2+2i
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2+2i
simplifying the above we get
2(1+i)
dividing through above through by √2
=2*√2(1/√2+i/√2)
but
1/√2=cos (π/4)=sin (π/4)
thus our expression will be:
=2√2(cos (π/4)+isin (π/4))
Answer:
[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]
Step-by-step explanation:
The given complex number is:
[tex]2+2i[/tex]
Now, the polar from of the complex number [tex]z=a+ib[/tex] is [tex]z=r(cos{\theta}+isin{\theta})[/tex].
Finding the absolute value of r:
[tex]r=|z|={\sqrt{2^2+2^2}[/tex]
[tex]r=\sqrt8[/tex]
[tex]r=2\sqrt{2}[/tex]
Now, find the value of argument,
Using formula, [tex]{\theta}=tan^{-1}(\frac{b}{a})[/tex]
[tex]{\theta}=tan^{-1}({\frac{2}{2})[/tex]
[tex]{\theta}=tan^{-1}(1)[/tex]
[tex]{\theta}={\frac{\pi}{4}}[/tex]
Thus, the polar form is:
[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]
which is the required polar form.
Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
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The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.
Explanation:To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.
Arrange the data in ascending order: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50Determine the minimum and maximum: Minimum is 5, Maximum is 50 Find the median (Q2): With 12 numbers, the median is the average of the 6th and 7th value, so (25+25)/2 = 25 Q1 is the median of the lower half of data (not including Q2): The median of 5, 5, 10, 15, 25, 25 is (10+15)/2 = 12.5 Q3 is the median of the upper half of data (not including Q2): The median of 30, 35, 40, 40, 45, 50 is (35+40)/2 = 37.5Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).
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triangle ABC is similar to Triangle XYZ. AB=5x+25, BC=7x+44, YZ=29, XZ=45, XY=14 Find x
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============================================================
Explanation:
Triangle ABC is similar to Triangle XYZ. This means that
AB/BC = XY/YZ
is one proportion we can form
Plug in the given expressions and then isolate x
AB/BC = XY/YZ
(5x+25)/(7x+44) = 14/29
29(5x+25) = 14(7x+44)
29(5x)+29(25) = 14(7x)+14(44)
145x+725 = 98x+616
145x-98x = 616-725
47x = -109
x = -109/47
note: its possible your teacher made a typo since we got a negative fraction here. I would ask your teacher to double check.
One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.
Answers
The angles of parallelogram are 40°, 140°, 40°, 140°.
What is parallelogram?
A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.
For the given situation,
One angle of parallelogram = 40°
Let the unknown angle be 'x'
The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
⇒ [tex]40+x=180[/tex]
⇒ [tex]x=140[/tex]
The opposite interior angles are equal.
Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.
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Broderick answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?
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84 hundredths
i need help so bad asap
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Substitute x=2 and y=2
2•2+3=3•2+1 ✔️
Substitute x=4 and y=4
11=13 ❌
Substitute x=3 and y= 3
9=10 ❌
Substitute x=5 and y= 5
13=16 ❌
HELP ASAP PLEASE!1!! Determine the factors of a2b + 2a2 + 3b + 6. (b + 3)(a2 + 2) (b + 2)(a2 + 3) (ab + 2)(a + 3) (ab + 3)(a + 2)
Answers
Hope this helps!
Answer:
B. (b + 2)(a2 + 3)
Step-by-step explanation:
Factor the trinomial below.
x2 – 14x + 45
A. (x – 3)(x + 15)
B. (x – 5)(x + 9)
C. (x – 5)(x – 9)
D. (x – 3)(x – 15)
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The answer is C.
[tex] {x}^{2} - 14x + 45 = (x - 9)(x - 5)[/tex]
To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.
[tex] - 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45[/tex]
(Remember that multiplying 2 negatives makes you end up with a positive.)
~ Hope this helps you!
Predict the vital capacity of a 20-year-old 5'5" female who weighs 120 pounds using the equation below: vc = (0.041) h - (0.018) a - 2.69
Answers
The predicted vital capacity of a 20-year-old, 5'5" female, using the provided equation, is approximately 3.97 liters.
Explanation:To predict the vital capacity of this 20-year-old 5'5" female who weighs 120 pounds using the given equation, we first need to convert the height from feet to centimeters since standard medical measurements are usually in metric units. The conversion is 1 foot = 30.48 cm. Therefore, 5'5" = 5*30.48 cm + 5*2.54 cm = 165.1 cm. Now we can substitute the height (h) and age (a) into the equation: vc = (0.041) h - (0.018) a - 2.69 = (0.041*165.1) - (0.018*20) - 2.69 ≈ 3.97 Liters. Therefore, the predicted vital capacity of this 20-year-old 5'5" female is approximately 3.97 liters.
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WILL MARK BRAINLIEST!!
Given: x - 5 > -10.
Choose the solution set.
{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}
Answers
Answer:
{x | x R, x > −5}
Step-by-step explanation:
x - 5 > -10
+ 5 + 5
__________
x > −5
I am joyous to assist you anytime.
If there is a very strong correlation between two variables, then the coefficient of correlation must be
Answers
Final answer:
If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1.
Explanation:
The correlation coefficient measures the strength and direction of the relationship between two variables. If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning the variables increase and decrease together.
A correlation coefficient of -1 indicates a perfect negative correlation, where one variable increases while the other decreases.
If a population has a birth rate of 40 individuals per 1,000 per year and a death rate of 30 individuals per 1,000 per year, how will the population change each year