to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
\((\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-220}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-220}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ -223 }{ 6 } \implies - \cfrac{223 }{ 6 }\implies {\Large \begin{array}{llll} -37\frac{1}{6} \end{array}}\)
$500 at 4% for 3 years
:FIND THE INTEREST EARNED
Answer:60$
Step-by-step explanation:
Help please answer this question
Answer:
the answer is 4.55
Can someone show me how to answer this question? On paper so I can see the steps clearly.
Thanks!!!
Using the comparison test, we have that \(\frac{2}{\sqrt[3]{n}}\) is divergent, as the given sequence \(a_n = \frac{1}{n}\) is divergent and \(\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}\) for all values of n ≥ 1.
What is the comparison test for two series?Suppose that we have two series, defined by \(\sum a_n\) and \(\sum b_n\), considering that \(a_n, b_n \geq 0\) for all n and \(a_n \leq b_n\) for all n, then:
If \(\sum b_n\) is convergent, then \(\sum a_n\) also is convergent.If \(\sum b_n\) is divergent, then \(\sum a_n\) also is divergent.For this problem, the sequences are given as follows:
\(a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}\)
Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.
From the graph, we have that \(\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}\) for all values of n ≥ 1, and since \(\frac{1}{n}\) is divergent, as stated in the problem, then \(\frac{2}{\sqrt[3]{n}}\) is also divergent.
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help me answer this. Complex Fractions: Identify the steps used in simplifying the following complex fraction:
We need to simplify the following expression:
\(\frac{\frac{1}{2(x+1)}+\frac{1}{x-1}}{\frac{1}{x^{2}-1}+\frac{1}{x+1}}\)We can start by finding the LCD (least common denominator) for the numerator and for the denominator of the expression.
First, let's find the LCD of the numerator.
Since the denominators of the fractions:
\(\frac{1}{2(x+1)}\text{ and }\frac{1}{x-1}\)have no common factors, the LCD of those expressions is:
\(2(x+1)(x-1)=2(x^{2}-1)\)Thus, we can simplify the numerator as:
\(\frac{x-1+2x+2}{2(x^{2}-1)}=\frac{3x+1}{2(x^{2}-1)}\)Now, we can find the LCD of the denominator.
Since x²-1 is a multiple of x+1, the LCD is:
\(x^{2}-1\)Thus, we can simplify the denominator as:
\(\frac{1+x-1}{x^{2}-1}=\frac{x}{x^{2}-1}\)Then, we obtained the equivalent expression:
\(\frac{\frac{3x+1}{2(x^2-1)}}{\frac{x}{x^2-1}}\)Now, we need to find the reciprocal of the denominator, to write the division as a product:
\(\text{reciprocal of }\frac{x}{x^{2}-1}=\frac{x^{2}-1}{x}\)Thus, we obtain:
\(\frac{\frac{3x+1}{2(x^2-1)}}{\frac{x}{x^2-1}}=\frac{3x+1}{2(x^2-1)}\cdot\frac{x^{2}-1}{x}\)Then, we simplify the complex fraction:
\(\frac{3x+1}{2(x^2-1)}\cdot\frac{x^2-1}{x}=\frac{3x+1}{2x}\)Therefore, after simplifying, we obtain:
\(\frac{3x+1}{2x}\)whats the remainder to 5,323 ÷ 34
Answer:
the answer is
Step-by-step explanation:
156.558 or 157.0
or
0.0060
A circle of radius 6 is centered at (12, 16). Find the coordinates of P given that
the angle below the horizontal is radians.
Answer:
the coordinates of point P are (15, 19 + 3 sqrt(3)).
Step-by-step explanation:
Let's first find the center of the circle, which is (h, k). From the given information, we know that h = 12 and k = 16.
Next, we need to find the coordinates of the point P. We can do this using the formula for finding a point on a circle given its center and angle:
x = h + r cos(theta)
y = k + r sin(theta)
where r is the radius of the circle and theta is the angle between the horizontal axis and the line connecting the center of the circle to the point P.
Substituting the given values, we have:
x = 12 + 6 cos(pi/3)
y = 16 + 6 sin(pi/3)
Evaluating the trigonometric functions, we get:
x = 12 + 6 (1/2) = 15
y = 16 + 6 (sqrt(3)/2) = 19 + 3 sqrt(3)
Therefore, the coordinates of point P are (15, 19 + 3 sqrt(3)).
The following are house prices in Southern California:
$750,000 $875,000 $800,000 $700,000 $1,000,000 $1, 160,000 $1, 180,000
What is the median house price?
A. $875, 000
B. $1,000,000
C. $700,000
D. $923,000
Answer:
A. 875,000
Step-by-step explanation:
Order them by least to greatest and then find the median from there so, 700,000; 750,000; 800,000; 875,000; 1,000,000; 1,160,000; 1,180,000
875,000 is the middle man so there is your answer
6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"
needing help with this trigonometry
Answer:
x = 7.2
Step-by-step explanation:
x is the hypotenuse
applies cosine
\(cos(33^{o} )=\frac{6}{x}\)
\(x=\frac{6}{cos(33^{o} )} =7.154\)
Round to the nearest tenth:
x = 7.2
Hope this helps
PLS HELP The histogram displays donations in dollars to a charity. A histogram titled Donations to Charity In Dollars with the x-axis labeled Donations. The x-axis has intervals of 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Number of Donations and starts at 0 with tick marks every one unit up to 5. There is a shaded bar above 10 to 19 that stops at 4, above 20 to 29 that stops at 3, above 30 to 39 that stops at 1, and above 50 to 59 that stops at 1. There is no shaded bar for 40 to 49. Which statement best describes the spread and distribution of the data?
The data is almost symmetric, with a maximum range of 49. This might happen if the charity suggested donation minimum of $35 and donors followed that.
The data is skewed, with a maximum range of 49. This might happen if the donations were only allowed in cash and many donors did not have much cash on them.
The data is bimodal, with a maximum range of 49. This might mean that the most popular amounts to donate were between 10 and 19 and 51 and 59 dollars.
The data is symmetric, with a maximum range of 59. This might happen if everyone donated a percent of their salaries.
Based on the given histogram, the data is skewed with a maximum range of 49.
This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.
One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.
Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.
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Help Please! Will mark brainliest and all of that
THX :)
(which one is from LEAST to GREATEST)
Answer:B.
Step-by-step explanation:
-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.
Kalinda is sewing a binding to all of the edges of her blanket The blanket is 137 centimeters wide by 188 Centimeters long the banding is sold in packages of 2.3 meters How many packages will Kalinda need to buy?
Answer:
1.37+1.37+1.88+1.88= 6.5
6.5/2.3=2.8packages. approximately 3
In Exercises 13 and 14, determine whether the situation shows direct variation.
Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.
Answer:
tbh choose the biggest number
Step-by-step explanation:
HELP PLEASE!!
Are these expressions equivalent?
Drag and drop a symbol to correctly complete the comparison.
5+9-2^3___4^2-6
A. =
B.≠
The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expressions are given below.
(5 + 9 - 2³) and (4² - 6)
Simplify the expression, then we have
(5 + 9 - 2³) = 5 + 9 - 8 = 6
(4² - 6) = 16 - 6 = 10
The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.
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pls help with this math question
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
7. Given: 2x + 30 = -4(5x - 2); Prove: x = -1
Statements
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
Reasons
By solving the given linear equation we conclude that x = -1
How to solve the linear equation?Here we have the linear equation:
2x + 30 = -4*(5x - 2)
And we should solve this for x.
To do that we can start by expanding the right side, we will get:
2x + 30 = -20x + 8
Now we group like terms:
2x + 20x = 8 - 30
22x = -22
Now we divide both sides by 22:
22x/22 = -22/22
x = -1
So, we conclude that x = -1, as we wanted to prove.
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Which number line shows the solution to the inequality?
x + 1> 5
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all together in the school
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
10. Which is a subset of whole numbers?
A rational
B. irrational
Creal
D. natural
Answer:
The answer is D. Natural
Step-by-step explanation:
A subset, mathematically, means a category within another set. This can be shown from the picture below.
As you can see, the subset of whole numbers is, in fact, natural numbers.
Which number best represents the slope of the graphed line?
Y410
-10
10
10
Answer:
1/2
Step-by-step explanation:
I took the test and rise/run is being asked
QUESTION ISDOWN BELOW
The Answers to the Question are solved below.
What is Cube root?A number's cube root is the factor that we multiply three times to get that number.
The symbol for cube root is 3 cube root of, end cube root(∛) .
Given:
1. \(5^{-2\)
Using Exponents
\(a^{-m\) = 1 / \(a^m\)
So, \(5^{-2\) = 1/5² = 1/25.
2. z+ 5= 12
z= 12-5
z= 7
3. Pythagorean triplet: m²-1, 2m, m²+1
2m= 6
m=3
and, m²-1 = 9-1= 8
and, m²+1 = 9+1= 10
3. Cube root of 64 = ∛64= ∛(4 x 4 x 4)= 4
4. 4z+ 3= 6+ 2z
2z = 3
z= 3/2
5. a- b+ ab, b- c + bc, c- a +ac
Adding: (a- b+ ab) + (b- c + bc) + (c- a +ac)
= ab+ bc+ ac
6. -1 x -2/5
= 2/5
The Multiplicative inverse = -5/2
7. y+3 = 10
y=7
8. 10³= 10 x 10 x 10= 1000
9. \(3^{-2\)
= 1/3²
= 1/9
10. Volume = Base Area x height
900 = 180 h
h= 900/180
h = 5
11. 16 as sum of 4 add number
= 1 + 3 + 5 + 7
12. 78 x 82
(80- 2)(80+ 2)
= 80² - 2²
= 6400 - 4
= 6396
13. 2/3 x 100
= 200/3 %
14. (ab- bc)+ (bc - ca) + (ca- ab)
= \((-4)^5\) ÷ \((-4)^8\)
= \((-4)^{5-8}\)
= \((-4)^{-3\)
15. 4p² - 9q²
= (2p)² - (3q)²
= (2p - 3q) (2p + 3q)
16. 2y-1 = 14- y
3y= 15
y= 5
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Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Hello!
The distance, d, is less than 200 miles.
B. d > 200
The door to my classroom is 84 inches tall. How many blocks would I need to stack to the height of the door, If each block is 2 inches tall?
Answer:
42 blocks
Step-by-step explanation:
If each block is 2 inches, and the height of the door is 84 inches, you need to divide the height by the block size. Once you divide 84 by 2, you should get 42 blocks as your answer.
n area model or use fraction str
4.
3/6
12
The completed entries of the area model is added as an attachment
How to determine the area modelFrom the question, we have the following parameters that can be used in our computation:
3/6
12
Rewrite as
3/6 * 12
Express 12 as 6 + 2
So, we have the following representation
3/6 * 12 = 3/6 * (6 + 6)
Expand the expression
So, we have the following representation
3/6 * 12 = 3/6 * 6 + 3/6 * 6
Evaluate the quotients
3/6 * 12 = 3 + 3
Next, we complete the blanks (see attachment) for the completed entries
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If a space of 18 inches is allowed for each person, how many persons can be seated in a row of bleacher seats 90 feet long?
Answer:
31 people
Step-by-step explanation:
think of it like a line,
first person at zero then add 3 feet per person so...
1 + 90/3 = 31 people
kinda funny that the problem isnt accounting for the size of the people
Find the greatest common factor of 3, 15, and 35.
the gcf of 3, 15, and 35 is 1.
Answer: 1
Step-by-step explanation:
GCF means greatest common factor.
And the greatest common factor of 3, 15 and 35 would be 1 since
no other number is common between them.
3 * 1 = 3
15 * 1 = 15
35 * 1 =35
WILL MARK BRANILIEST
Celia has a playlist of 21 songs that she listens to when she studies. The playlist includes 14 songs by Celia’s favorite band.
If Celia sets the playlist to randomly shuffle the songs with no repeats, what is the probability that first two songs played are by her favorite band?
A. 13/30
B. 4/9
C. 26/63
D. 1/7
Answer:
4/9
Hope it helps!!! :)
Write the equation of the line below. Please help
Step-by-step explanation:
The line is a vertical line of the form x = a, where a is a real constant.
Sincw the line passes through the point (-5, 0), the line equation is x = -5.
WORTH 25 HELP ASAP!!!