I need help with this Show work on each one
Answer:
first one is 1
Second is -2/3
Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings
Answer:
5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Step-by-step explanation:
(a+b)^3
= (a+b) (a+b) (a+b)
={(a+b) (a+b)} (a+b)
={a(a+b) + b(a+b)} (a+b)
=(a^2 + ab + ab + b^2) (a+b)
=(a^2 + b^2 + 2ab) (a+b)
=a^2(a+b) + b^2(a+b) + 2ab(a+b)
=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2
=a^3 + b^3 + 3a^2b + 3ab^2
=a^3 + b^3 + 3ab(a+b)
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(a+b)^3 - 3ab(a+b) = a^3 + b^3
a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Hope this helped!
Answer:
I am just giving the expansion, so that you can substitute the values and solve it
What are the key features of function f? f(x)=log x
Answer:
(1,0)-------Increases------X=0-----Decreases to negative infinity
Step-by-step explanation:
Value of function f(x) = logx at axis (1,0) is zero.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph of the logarithmic function y=logx is shown.
The domain of function f(x) = logx is the set of all positive real numbers.
1. f(x)=logx domain of the logirthimic function is (0, ∞).
2. The range is the set of all real numbers.
3. The function is continuous and one-to-one.
4. The y-axis is the asymptote of the graph.
5. The graph intersects the x-axis at (1,0). That is, the x-intercept is 1.
Value of function f(x) = logx at axis (1,0)
⇒ f(x) = 0
Thus, value of function f(x) = logx at axis (1,0) is zero.
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There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway? A. 0.475 inch B. 47.5 inches C. 475 inches D. 4,750 inches
Answer:
C. 475 inchesStep-by-step explanation:
Step one:
given
the number of tiles is 100 in total
the dimension of the tiles is 4.75 inches wide
Step two:
Required
We want to find the length that 100 tiles will cover
Hence the length will be 4.75*100
=475inches
Therefore the option C is correct
19-5/2x = 34 Solve for X
Answer: -6
Step-by-step explanation:
The solution is: solve of the equation 19-5/2x = 34 is: x = -6.
Here, we have,
given that,
the equation is: 19-5/2x = 34
now, we have to solve this.
so, we have,
19-5/2x = 34
isolating the like terms, we get,
5/2 x = 19- 34
or, 5/2 x = - 15
dividing both side by 5 we get,,
x/2 = -3
cross-multiplying, we get,
x = -6
Hence, The solution is: solve of the equation 19-5/2x = 34 is: x = -6.
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Write 67/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Answer:
67/18 is 3.72 as a decimal.
Step-by-step explanation:
I know this because, to turn a fraction into a decimal, you must divide the numerator by the denominator.
67 ÷ 18 = 3.72
Therefore, 3.72 is my answer.
PLEASE HELP ME!!!!!!!!!!!!!!!
You received a $150 gift certificate to a clothing store. The store sells T-shirts for $17 and dress shirts for $26. You want to spend no more than the amount of the gift certificate. You want to leave at most $8 of the gift certificate unspent. You need at least dress . What are all of the possible combinations of T-shirts and dress shirts you could buy?
seclect all that apply
A: 4 t-shirts and 3 dress shirts
B: 1 t-shirt and 5 dress shirts
C: 5 t-shirts and 2 dress shirts
D 2 t-shirts and 4 dress shirts
Answer:
d I think
Step-by-step explanation:
blablablablabal
what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
Amanda’s dog eats 12\frac{1}{2}12 2 1 pounds of dog food in 3 weeks.
Answer:
y=mx+b
Step-by-step explanation:
I need help ASAP please
Answer:
4th one is correct
Step-by-step explanation:
Find the slope of the line y = -5/4x - 2
Answer:
-5/4
Step-by-step explanation:
y=mx+b
m= slope
b= y-intercept
m= -5/4
What is the value of tan A?
8/17
15/8
8/15
15/17
Answer:
B) 15/8
Step-by-step explanation:
Use the SOH-CAH-TOA acronym:
• SOH: Sin(θ) = Opposite / Hypotenuse
• CAH: Cos(θ) = Adjacent / Hypotenuse
• TOA: Tan(θ) = Opposite / Adjacent
Tangent of A would be "opposite" over "adjacent". The side of the triangle opposite angle A would be 15, and the side adjacent to angle A would be 8 -- the value of tan(A) is 15/8.
Tan(A) cannot be 15/7, because 7 is the hypotenuse. Remember that the hypotenuse of a right triangle is the side opposite the 90° angle -- here, angle B is the 90° angle.
If I saved up $10 every 2 weeks, how much would I have saved in a year? Please help, thank you!
can you answer 20 x 3/4
Answer:15
Step-by-step explanation:
Answer15
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7
Answer:
D, y = 3x − 7
Step-by-step explanation:
Edge 2020, mark as brainliest plz
Answer:
The Answer is D.
Step-by-step explanation:
You buy a used car for $20,000. It depreciates at the rate of 21% per year. Find the value of the car for the given years.
A. 5 years.
B. 8 years.
Answer:
a is 840 ,b is 525
Step-by-step explanation:
At the end of each year, its value is down to 79%, which is 0.79 times its value at the start of the year. Keep this up for n years and the value is
V(n) = $20,000 (0.79)n,
where n is the number of years elapsed from when the value was $20,000. Just plug in n=5 and n=8, evaluate, and get your 2 answers.
Answer:
A. 5 years
Step-by-step explanation:
21% of 20,000 is 4200, mutiply that by 5 and get $20,000
solve the equation
pls help me
Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?
Answer:
x=1160 HAVE A GREAT DAY!!! :D
Step-by-step explanation:
Okay! So, first you would set up a proportion
x/1740=2/3
Then you cross multiply
3x=3480
After that, you divide both sides of the equation by 3
x=1160
What is the arc length of an arc of a circle with dialneter of 10 and a central angle of 50°.
251
Answer:
The arc length is 4.36332.
Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation
`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?
Answer:
i don't know the answer but i really want the points
Step-by-step explanation:
line with a slope of 2 and passes through point (3, 5)
Answer:
i dont get what you are trying to say is their a graph u can show
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
please help thank you
Answer:
You would earn $637
Equation: (4,800x6.5%)+325
Step-by-step explanation:
6.5%= 0.065
So 4800 times 0.065 is 312.
Then you add 312 to the weekly salary of 325
325+312= 637
Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?
Answer:
0.0004158
0.00041581
Step-by-step explanation:
Given that :
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Probability of answering 8 or more questions correctly ;
Direct sum:
P(x ≥ 8) = p(8) + p(9) + p(10)
P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095
= 0.0004158
Complement :
P(x ≥ 8) = 1 - p(x ≤ 7)
1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]
1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]
1 - 0.99958419
= 0.00041581
please, i need to answer this for tomorrow and i dont get it!
Answer:
1.72r²
Step-by-step explanation:
total Rectangle area = 4r*2r = 8r²
total circles area = 2(π r²) = 2*3.14*r² = 6.28r²
then:
the area of the shaded region:
= 8r² - 6.28r²
= (8-6.28)r²
= 1.72r²
Answer:
2r²(4 - π)
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of rectangle - area of 2 circles
The rectangle has a length of 4r and a width of 2r , then
A = (4r × 2r) - (2πr²)
= 8r² - 2πr² ← factor out 2r² from each term
= 2r²(4 - π)
help!!! I will give brainliest!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Dale will run at most 29 miles this week. So far, he has run 17 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
Answer:
17+t=19
Step-by-step explanation:
there u go buddy :(
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
Answer:
B and D
Step-by-step explanation:
The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.
If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.
Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.
Answer:
b and d
Step-by-step explanation:
pls help me with question 8
9514 1404 393
Answer:
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
Step-by-step explanation:
The first column tells you the cost is ...
$2.50/(5 lb) = 0.50 $/lb
That is, each bottom number is half the top number, or each top number is double the bottom number.
The table is ...
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
An airplane flies across the country. Its distance from Portland, as a function of time, is modeled by y. 500x.
Which statement best describes the function?
A. The function is nonlinear
B. The function is linear at some points and nonlinear at other points.
c. The function is linear
D. Not enough information is given to decide
Answer:
I would say b
Step-by-step explanation:
I choose b because the question is linear and also non linear it only told us the distance which is 500x and no time but is saying as a function of time
C. The function is linear.
The given function is y = 500x, where x represents the time and y represents the distance from Portland. In this function, y is directly proportional to x, meaning that for every unit increase in x, y increases by a constant amount of 500.
Since the function is of the form y = mx, where m (in this case, 500) is the constant of proportionality, the function is linear.
Therefore, the correct answer is:
C. The function is linear.
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Is quadrilateral ABCD a rectangle why or why not?
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
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