Answer:
Solved math homework week 32 3rd of secondary school.
Felicidades
Step-by-step explanation:
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
distance from Atlanta to Colleyville is 25.5 miles, and the distance from
Atlanta to Bayville is 10 2/3 miles.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as what is required of the question is not stated.
However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:
[tex]AC = 25.5\ miles[/tex]
[tex]AB = 10\frac{2}{3}\ miles[/tex]
The relationship between AB, AC and BC is:
[tex]AC = AB + BC[/tex]
Make BC the subject of formula:
[tex]BC = AC - AB[/tex]
[tex]BC = 25.5 - 10\frac{2}{3}[/tex]
Convert fraction to decimal
[tex]BC = 25.5 - 10.7[/tex]
[tex]BC = 14.8[/tex]
Hence, the distance from Bayville to Colleyville is 14.8 miles
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
A) Two angles are adjacent if their measures add up to 90°.
B) Two angles are supplementary if they share a side.
True or false
Answer:
A) False
B) False
Step-by-step explanation:
A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.
B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to [tex]180^{o}[/tex]. Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.
Find all solutions of the equation in the interval [0, 2).
sin
x +
3
+ sin
x −
3
= 1
Answer:
x = 30 0 <= x < 2
Step-by-step explanation:
senx +3 + sex -3 = 1
2senx = 1
senx =1/2
x = arcsen(1/2)
x = 30
3. Express the following algebraic expressions in standard form.
4. (x + 7)(x - 2) = 0
5. 2x(x + 1) = 12
Answer:
x^2+5x-14=0
Step-by-step explanation:
(x+7)(x-2)=0
x (x-2)+7 (x-2)=0
x^2-2x+7x-14=0
x^2+5x-14=0
According to the National Telecommunication and Information Administration, 51% of U.S. households had Internet access in 2001.
a. If we select four U.S. households at random (with replacement), what is the probability that all four had Internet access in 2001?
b. What is the probability that at least one of four randomly selected U.S. households had Internet access in 2001?
Answer:
a
[tex]P(X = 4 ) = 0.0677 [/tex]
b
[tex]P(X \ge 1 ) = 0.9424 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of a US household having an internet access in 2001 is p = 0.51
The sample size is n = 4
Generally the distribution of the number of US household with internet access at 2001 follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that all four had Internet access in 2001 is mathematically represented as
[tex]P(X = 4 ) = ^{4}C_4 * (0.51)^4 (1- 0.51)^{4-4}[/tex]
=> [tex]P(X = 4 ) = 0.0677 [/tex]
Generally the probability that at least one of four randomly selected U.S. households had Internet access in 2001 is mathematically represented as
[tex]P(X \ge 1 ) = 1 - P(X < 1 ) = 1- P(X = 0 )[/tex]
=> [tex]P(X \ge 1 ) = 1- [^{4}C_0 * (0.51 )^0 * (1- 0.51 )^{4-0 } ][/tex]
=> [tex]P(X \ge 1 ) = 1- [1 * 1 * (0.49 )^{4 } ][/tex]
=> [tex]P(X \ge 1 ) = 0.9424 [/tex]
A line goes through the point (−4, 1) and goes through the origin. Which of the following is the correct equation of the line?
y= -4x
y= 4x
y= -1/4x
y= -1/4x+1
y= x-4
Help pleaseeeeeeeeeeeeeeeee
Answer: 0.92 feet (choice B)
You're close but not quite there. To get the answer, you divide 29.44 over 32
If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.
Answer:
B: 0.92
Step-by-step explanation:
Divide the banner length by the amount of students
[tex]\frac{29.44}{32}[/tex]
if a(2x-3)=bx+5 then the solution for x in terms of a and b is
Answer:
x=(3a+5)/(2a-b)
Step-by-step explanation:
first we distribute the a to the 2x and -3
2ax -3a=bx+5
we move the -3a over by adding 3a
2ax=bx+5+3a
then we move the bx over
2ax-bx=5+3a
we can now group the left side like this
x(2a-b)=5+3a)
to find x all we must do is divide both sides by (2a-b)
x=(3a+5)/(2a-b)
A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?
Answer:
2 gallons an hour
Step-by-step explanation:
This is a fraction equal to
2 gal ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
2 gal
÷ 1
1 hours
÷ 1
=
2 gal
1 hour
=
2 gal
hour
= 2 gal per hour
Answer:
3/8
Step-by-step explanation:
1/4 ÷ 2/3 = 3/8
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On weekdays, a bakery sells 240 cupcakes per day. If the bakery sells 330 cupcakes per day on weekends, by what percent do the sales increase?
Answer:
Percentage increase= 37.5%
Step-by-step explanation:
Giving the following information:
Sales on weekdays (Q0)= 240 units
Sales on weekends (Q1)= 330 units
To calculate the percentage increase, we need to use the following formula:
Percentage increase= [(Q1/Q0) - 1]*100
Percentage increase= [(330/240) - 1]*100
Percentage increase= 37.5%
Rhombus ABCD has the following vertices:
A(-8,11)
B(-1, -13)
C(14,7)
D(7,31)
Is rhombus ABCD a square, and why?
Answer: No because BC is not perpendicular to AB.
Step-by-step explanation:
Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.
A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.
In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:
distance = [tex]\sqrt{[/tex] [tex]((-8 - (-1))^2[/tex] + [tex](11 - (-13))^2[/tex])
distance = [tex]\sqrt{[/tex] ([tex]7^2[/tex] + [tex]24^2[/tex])
distance = [tex]\sqrt{[/tex] (625) = 25
The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.
We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:
angle = arctan((13 - (-13))/(-8 - (-1)))
angle = arctan(26/7)
angle = 78.6°
The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.
Therefore, rhombus ABCD is a square.
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6 Use the Distributive Property to simplify.
7(x-3)
Answer:
7x-21
Solution:
7 times x and 7 times negative 3
Answer:
[tex]\huge\boxed{\sf{7x-21}}[/tex]
Step-by-step explanation:
Hello.
The Distributive property states that
a(b+c)=ab+ac
Where
a, b, and c = variables/constants
Now, simplify the expression:
7(x-3)
Multiply x and 3 times 7 and subtract the products:
7x-21
I hope it helps & have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
Find the values of a and b such that x² + 2x - 7 = ( x + a )² + b
Answer:
a = 1 ; b = - 8
Step-by-step explanation:
x² + 2x - 7 = (x² + 2x + 1) - 1 - 7 = (x + 1)² - 8
a = 1
b = - 8
Answer:
a = 1 , b = -8
Step-by-step explanation:
(x+1)^2 = x^2+2x+1
x^2+2x+1-8 = x^2+2x-7
HELP Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x). State the domain of f
Step-by-step explanation:
hope this helps, happy learning
Two vertical asymptotes exist. The leftmost one's equation is, x = -6, and the rightmost one's equation is, x = 6.
What is oblique asymptotes?An asymptote along a line is called an oblique or slant asymptote. Oblique asymptotes are formed when the degree of the denominator of a rational function is one less than the degree of the numerator. For example, the function has a vertical asymptote at the line and an oblique asymptote about the line. (-, -6) U (-6, 6) U Domain: (6, )On the f(x) graph, there are two vertical asymptotes. The equation for the left one is x = -6, and the equation for the right one is x = 6.Because there are vertical asymptotes at x=-6 and x=6, the domain of f is (-infinity -6) U (-6,6) U.Domain: ,(-∞, -6) U (-6, 6) U (6, ∞)
There are two vertical asymptotes on the f(x) graph. The leftmost one's equation is:
x = -6
and the equation of the rightmost one is:
x = 6
Part B
The vertical asymptotes at x=-6 and x=6 define the domain of f as follows:
(-∞, -6) U (-6, 6) U (6, ∞)
Therefore, Two vertical asymptotes exist. The leftmost one's equation is x = -6, whereas the rightmost one's equation is x = 6.
The complete question is:
Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of f. Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. There is only one vertical asymptote. Its equation is (Type an equation.)OB. There are two vertical asymptotes. The equation of the leftmost one is and the equation of the rightmost one is (Type an equation.)OC. There are no vertical asymptotes.
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How much does Kelly make an hour if she worked 35 hours and made $323.75 this
week?
Answer: $9.25 an hour
Step-by-step explanation:
What’s the product of 1,243x8
Answer:
9944
Step-by-step explanation:
Calculator. Was there anything else you needed help on while I'm at it?
Answer:
9944
Explaination:
Typed it into a calculator
Water flows through a pipe at a rate of 4 quarts per month.Express this rate of flow
in gallons per day. Round your answer to the nearest hundredth.
The rate of flow of water through a pipe is gallons per day is 3.333%.
Given that, water flows through a pipe at a rate of 4 quarts per month.
We need to express this rate of flow in gallons per day.
How many quarts make a gallon?4 quarts will make a gallon.
Now, according to the question, 1 gallon of water flows through a pipe per month.
We know that number of days in a month is equal to 30 days.
Per day=1 gallon of water/Number of days in a month
=1/30 gallons of water.
The rate of flow in gallons per day=1/30 × 100
=3.3333%≈3.333%
Therefore, the rate of flow of water through a pipe is gallons per day is 3.333%.
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subtract 2x³-4x²+3x+5 from 4x²+x²+x+6
Answer:
(-2x^3)+(9x^2)
Step-by-step explanation:
Answer is above. Hope it helps!
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
what is the value of 3.85+0.004+0.117?
Answer: 3.971
Step-by-step explanation: first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:
3.85
0.004
0.117
+————-
Then you add vertically and you get your answer of 3.971
Your welcome :)
The value of the given expression ( 3.85+0.004+0.117 ) is 3.971.
What is summation?
The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:
3.850
0.004
0.117
+————-
3.971.
Then you add vertically and you get your answer of 3.971.
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I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $20per foot, and the fencing for the east and west sides costs $10 per foot. If I have a budget of $200 for the project, what are the dimensions of the garden with the largest area I can enclose? HINT [See Example 2.]
ft (smaller value) ? ft (larger value)
ft2
Answer:
Length = [tex]5\ \text{ft}[/tex]
Breadth = [tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length of the garden
and [tex]y[/tex] be the width of the garden
From the details of the cost in the question we get
[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]
Now area of the garden is
[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dA}{dx}=10-2x[/tex]
Equating with 0
[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]
Double derivative of the area is
[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]
So, area is maximum at [tex]x=5[/tex]
[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]
So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].
GIVING BRAINLIESTT!!!!!!
Answer:
136
Step-by-step explanation:
the two base pairs angles add up to equal 44
subtract 44 from 180 to get the missing angle
you get 136
Answer:
c
Step-by-step explanation:
Do dis pls and don’t be toxic and take points
HELP ME ASAP!!
Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2
Answer:
[tex] \huge A (n) = 5 ({2})^{n - 1} \\ [/tex]
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]A(n) = a _ 1( {r})^{n - 1} [/tex]
a1 is the first term
r is the common ratio
From the question we have the final answer as
[tex]A (n) = 5 ({2})^{n - 1} [/tex]
Hope this helps you
Kinsley went rock climbing at red river gorge at noon she was at an elevation of 76 feet then she climbed 28 feet higher to reach the peak what was kinsley elevation at the peak
Answer:
104 feet
Step-by-step explanation:
Answer:
104
Step-by-step explanation:
Two numbers have a difference of 3. The sum of their square is 89
Answer:
I just know additional
Step-by-step explanation:
x = 8 is a solution for the equation x/2 = 4
Answer:
x = 8 is a solution for the equation
17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.
Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°