Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
parallel to y = 3x – 1 and passes through the point ( – 4, – 11)
A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten
Answer:
If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.
Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:
33 = 100
25 = X
(25 x 100) / 33 = X
2500/33 = X
75.75 = X
25/33 = X
Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.
Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g
Answer:
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Step-by-step explanation:
The question can be better structured and represented as :
[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]
now the derivative of the function of g(x) is g'(x) which is equal to:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined? ( need help )
By dividing 35 by 7.
By multiplying 35 by 7.
By finding the unit rate and dividing it by 7.
By finding the unit rate and multiplying it by 7.
To determine the number of seconds it would take Dariya to download 7 songs at the same rate, we first find the unit rate and multiply it by 7.
Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.
Unit Rate = 7second/song.
Time to download 7 songs = 49 seconds.
What do we mean by unit rate?A unit rate is a quantity taken for a unit of another quantity.
How do we solve the given question?We are given that it takes Dariya 35 seconds to download 5 songs from the Internet. We are asked about the time it will take Dariya to download y songs at the same rate.
We will first determine the unit rate of the time taken for downloading a song.
5 songs take 35 seconds.
∴ 1 song takes 35/5 = 7 seconds.
∴ Unit rate is 7seconds/song.
Now to determine the time for downloading 7 songs, we multiply the unit rate by 7.
∴ Time taken to download 7 songs = 7 songs * unit rate
or, Time taken to download 7 songs = 7 songs * 7 second/song
or, Time taken to download 7 songs = 49 seconds.
∴ To determine the number of seconds it would take Dariya to download 7 songs at the same rate, we first find the unit rate and multiply it by 7.
Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.
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I need help on. this question. (3x^6)^3 the answer must have one exponent
Answer:
[tex]27x^{18}[/tex]
Step-by-step explanation:
[tex]\left(3x^6\right)^3[/tex]
Separate [tex]3x^6[/tex]:
[tex]3^3\times\left(x^6\right)^3[/tex]
[tex]27\times\left(x^6\right)^3[/tex]
[tex]27x^{6\times3}[/tex]
[tex]27x^{18}[/tex]
Look at this equation. 2t = 10 Solve for t. Which of the following can you use to make sure your answer is correct? Question 2 options: Substitute 2 for t in the equation t = 5. Substitute 5 for t in the equation t = 5. Substitute 5 for t in the equation 2t = 10. Substitute 2 for t in the equation 2t = 10.
Answer:
Substitute 5 for t in the equation 2t = 10.
Step-by-step explanation:
2t = 10
t = 10/2
t = 5
Substitute 5 for t in the equation 2t = 10.
The solution for the equation 2t = 10 is t = 5.
This can be made sure by "Substitute 5 for t in the equation 2t = 10".
Given an equation:
2t = 10
The equation has to be solved and find the value of t.
Divide both sides of the equation by 2.
t = 10/2
= 5
Now, the value of t = 5, which is the solution of the equation 2t = 10.
So, in order to check the correctness of the solution, substitute the solution for the value of t into the original equation, 2t = 10.
Hence the solution is t = 5, and the option to check it is c.
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A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth 50$. How many of each type of bill does he have?
Answer:
3.5$
Step-by-step explanation:
Nine 5's and five 1's. Nine five-dollar bills hit $45 dollars, and the remaining $5 can only be paid in 1's to reach 14 bills.
Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces
-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0
Answer:
6,-6
Step-by-step explanation:
6+(-6)=6-6=0
The answer is 6,-6
-19a = -174.8
Solve equation
Answer: a = 9.2
Step-by-step explanation: -174.8/-19 = 9.2
Answer:
21
Step-by-step explanation:
21
Graph 5x + 3y = 15 on a graph
Which figure is described below?
Answer:
Answer option "A" : line.
Step-by-step explanation:
The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.
Therefore the answer option "A" is the correct one.
Can someone help me with 4?
Answer:
ok so the answer is 343
Step-by-step explanation:
so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343
hope it helps
Answer:
The Answer is 343.
Step-by-step explanation:
First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.
Next- We do 2401 x 2401 which equals 5764801.
Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.
Last- We divide 5764801 by 16807 and we get 343.
Hope this helps!
20+8(x-11)=-12 answer and how to solve it?
Answer: x=7
Step-by-step explanation:
To solve for x, you want to use algebraic properties.
20+8(x-11)=-12 [distribute]
20+8x-88=-12 [combine like terms]
8x-68=-12 [add both sides by 68]
8x=56 [divide both sides by 8]
x=7
Now we know that x=7.
3.60 rounded to the nearest tenth
Answer:
3.6 its already rounded just take off the 0
The requried when rounding 3.60 to the nearest tenth is given as 3.60.
When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.
The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.
In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.
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If you run a 10 km race in 43 minutes 30 seconds, what is your average time per mile? What is your average speed in mph? Hint: there are 1.61 km in a mile.
Answer:
Your Average Speed was 8.57057285 mph.
Step-by-step explanation:
Given that f(x)= k/x+1 + 6/x+2 and f(5)=8, Find the value of k.
Answer: [tex]k=\frac{300}{7}[/tex]
Step-by-step explanation:
Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.
[tex]8=\frac{k}{5+1} +\frac{6}{5+2}[/tex] [add denominator]
[tex]8=\frac{k}{6} +\frac{6}{7}[/tex] [get common denominator]
[tex]8=\frac{7k}{42} +\frac{36}{42}[/tex] [add]
[tex]8=\frac{7k+36}{42}[/tex] [multiply both sides by 42]
[tex]336=7k+36[/tex] [subtract both sides by 36]
[tex]300=7k[/tex] [divide both sides by 7]
[tex]k=\frac{300}{7}[/tex]
Now, we know that [tex]k=\frac{300}{7}[/tex].
A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?
50
Step-by-step explanation:
You set this up with a ratio, 1:20 or 1 equals 20 miles. So i'm multiplying by 20 regardless. Now I have 2 and a half inches or you can say 2.5. Multiply 2.5 (on paper..) and 20 and there you go. 20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.
A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.
Answer: 12.5 cm
Step-by-step explanation:
Equation would be:
1:80
?:1000
So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.
The width of the lake on the scale drawing is 12.50 cm
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
The scale drawing is usually reduced at a constant dimension
Dimension of the scale drawing = original dimensions / scale of the drawing
The scale is 1 cm to 80m
Thus, the width of the lake on the drawing = 1000 / 80 = 12.50cm
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K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly. A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector. Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.
This question is incomplete, the complete question is;
K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly.
A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector.
Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.
Price at the end of month
Month Month end Price KSE 100 INDEX
Jan 175 32600
Feb 185 33900
March 152 33500
April 190 34000
May 195 33500
June 188 33800
July 190 33700
Aug 195 33200
Sep 190 32900
Oct 185 33100
Nov 190 33900
Dec 88 34100
a) Calculate average return for both stock and market
b) Calculate Standard deviation for both
c) Calculate coefficient of variation for both
d) Calculate Beta of stock
Answer:
a) AVERAGE RETURN = -3.69%, 0.42%
b) STANDARD DEVIATION = 19.38%, 1.74%
c) COEFF OF VARIATION = -5.2562, 4.1035
d) BETA = 1.89
Step-by-step explanation:
Month Month-end-Price RETURN KSE-100-INDEX RETURN
Jan 175 32600
Feb 185 5.71% 33900 3.99%
March 152 -17.84% 33500 -1.18%
April 190 25.00% 34000 1.49%
May 195 2.63% 33500 -1.47%
June 188 -3.59% 33800 0.90%
July 190 1.06% 33700 -0.30%
Aug 195 2.63% 33200 -1.48%
Sep 190 -2.56% 32900 -0.90%
Oct 185 -2.63% 33100 0.61%
Nov 190 2.70% 33900 2.42%
Dec 88 -53.68% 34100 0.59%
AVERAGE -3.69% 0.42% =MEAN
RETURN
STANDARD 19.38% 1.74% =STDDEV
DEVIATION
COEFF OF -5.2562 4.1035 =STD/MEAN
VARIATION
VARIANCE 3.76% 0.03% =VAR
COVARIANCE 0.000569039 =COVAR
BETA 1.89 =COVAR / VARIANCE (KSE 100 INDEX)
Please answer this question
Answer:
I think it would be B but im not completly sure.
Which expressions are equivalent to the given expression?
Answer: 1/ x^2y^5 or the third option from the top
Step-by-step explanation:
What is the probability of spinning a 2 on the
spinner?
Answer:
a 1/8 chance (one out of eight, one eighth, whatever)
Step-by-step explanation:
PLEASE HELP A cylinder with radius 6 feet and height 6 feet has its radius doubled. How many times greater is the volume of the larger cylinder than the smaller cylinder? How many times greater is the volume of the larger cylinder than the smaller cylinder?
Answer:
16 Times Greater
Step-by-step explanation:
Smaller cylinder:
radius = 6 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)6^2(8)
radius = 24 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)24^2(8)
.
[(3.14)6^2(8)] / [(3.14)24^2(8)]
[6^2(8)] / [24^2(8)]
[6^2] / [24^2]
[36] / [576]
16 times greater
Answer:
Step-by-step explanation:
Smaller cylinder:
h = 6 ft
r = 6 ft
Volume of smaller cylinder = πr²h
= π * 6 * 6 * 6 cubic ft
Bigger cylinder:
r = 6 * 2 = 12 ft
h = 6 ft
Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft
Volume of bigger cylinder = π * 12 * 12 * 6
Volume of smaller cylinder π * 6 * 6 * 6
= [tex]\frac{2 * 2}{1*1}\\[/tex]
= 4 : 1
The volume of greater cylinder is 4 times than the smaller cylinder.
help me please i need help
Answer: x=y/(3b-7)
Step-by-step explanation:
To solve for v, you want to use algebraic properties to isolate x.
y=3bx-7x [factor out x]
y=x(3b-7) [divide both sides by 3b-7]
x=y/(3b-7)
Now, we know that x=y/(3b-7).
Answer:
3bx -7x = y
or, x(3b -7) = y
or, x= y/(3b -7)
Help please !!!
Write the equation of the line if the line passes through (4,4) and the y-intercepts is -4
What is the lowest value of the range of the function
shown on the graph?
Answer:
2
Step-by-step explanation:
2
Which phrase should be inserted in the line to make a true statement? 2/3 is _____ 8/12 A. Is greater than B. Less than C. Cannot be compared.D.is equal to (HELP I NEED THIS HURRYY PLSSSS)
Answer:
the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)
Step-by-step explanation:
What number is 7 unit to the leaft of -1
Answer:
-8
Step-by-step explanation:
Since its going left I’m assuming it means negative. So you’re adding -7 to -1.
That gives you -8.
Solve for x x-23=17
a -40
b 40
c -6 d 6
Answer: It is B - 40
Step-by-step explanation:
40-23 = 17
Answer:
40
Step-by-step explanation:
x-23 =17
x=17 +23
x=40