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Answer:
y +6 = 2(x -6)
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-6))/(7 -6) = 2/1 = 2
The point-slope equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Using the slope we found and the first point, the equation is ...
y +6 = 2(x -6)
whats the factor of. [tex]3mx^{2} -19mn+6nx^{2}[/tex]
2. Kayli swam 0.7 kilometers at the school swimming pool. How many meters did she swim?
Kayli swam
meters in the swimming pool.
Answer:
To convert kilometres to metres, divide the value by 1000.
0.7 ÷ 1000 = 700 metres
Kayli swam 700 meters in the swimming pool
Hope this helps!
A box of golf balls contains 10 balls. Each golf ball has a diameter of 3.6 centimeters. What is the total
volume of golf balls in 3 boxes?
about 1465.74 cm
c. about 1221.45 cm
b. about 732.87 cm
d. about 81.43 cm
Answer:
C
Step-by-step explanation:
Calculate the number of vertices in a full 5-ary tree with 35 internal vertices.
Also, find out the number of leaves
Answer:
Step-by-step explanation:
With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.
The number of vertices in a full 5-ary tree is 175.
The number of leaves is 140.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of full trees = 5
Number of internal vertices = 35
Now,
The number of vertices.
= 5 x 35
= 175
Now,
The number of leaves.
= 175 - 35
= 140
Thus,
Number of vertices is 175.
Number of leaves is 140.
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Helen is taking part in a quiz on tv. The Probability she answers the questions correctly is 4/5. Helen is asked two questions. Calculate the probability she answered both questions correctly
Answer:
16/25
Step-by-step explanation:
To find the probability that she gets both questions right, multiply the probabilities together:
4/5 x 4/5
= 16/25
So, the probability that she answers both correctly is 16/25
How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is important.)
Answer:
120
Step-by-step explanation:
formula:
[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]
The number of 3 letter words formed from the word ACTION is 120.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
The given word is ACTION.
We need to form a three letter words.
Here, 6P3 = 6!/(6-3)!
= 6×5×4×3!/3!
= 6×5×4
= 120 ways
Therefore, the number of possible words formed from the word ACTION is 120.
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A five - question quiz is taken in which the first and second questions have four answer choices, the third and fourth questions have three answer choices,and the last question has five answer choices.If a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly?
A: 0.96
B: 0.27
C: 1.37
D: 1.00
Which recursive sequence would produce the sequence 6, 20, 62, …
Step-by-step explanation:
Using an online calculator, I was able to find that one pattern is
[tex]a_{n} = a_{n-1} + 14 * 3^{n-1}[/tex] . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one
Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *
Answer:
add all the numbers
which will get you 24
then divide by how many numbers you got which will give you 6
the answer is six
Step-by-step explanation:
Hope this helps :D
Answer:
The mean is equal to 4.
Step-by-step explanation:
To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.
For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4
The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4
The mean is equal to 4.
If k kilometres is the same distance as m miles.
k is given approximately by the fomula. k=8m/5
the number of miles in 112km.
Step-by-step explanation:
my answer is in the image above
The solution is m=70miles.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
If k kilometers is the same distance as m miles.
k is given approximately by the formula.
k=8m/5
the number of miles in 112km,
then, we get
k=8m/5
i.e. m= 5k/8
now, k=112
so, m= 5/8 * 112
i.e. m=70
Hence, The solution is m=70miles.
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Which angle is coterminal to a 185° angle?
Answer:
the answer is -175. I hope that helped
ick the correct alternatives.
If A is a subset of U, which one of the following relation is always true?
(A) A U U = U
(B) A N U = U
(C) A n A = 0
(D) A U Φ = Φ
Answer:
A
Step-by-step explanation:
what is the area of the figure below
Answer:
190 in²
Step-by-step explanation:
Cut the shape into simpler ones:
A=6 x 6= 36 in²
A=7x22= 154 in²
A=36 + 154= 190 in²
Cómo chica quiere armar sus propios lindos para una galería de arte los cuadros deben ser de forma cuadrada así que todos los lados deben de medir los mismos y una amiga le donó dos trozos de madera de 128 cm y 224 cm respectivamente qué tan grande es podrían ser los lados sin que sobre madera?
Find a counter example for each of the following conditional statements. There are multiple correct answers. This question will be graded manually.
If a number ends in five, then it will divide evenly by two.
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Answer:
5
Step-by-step explanation:
The number 5 is a counterexample, as is any number ending in 5.
5 ÷ 2 = 2 remainder 1
The non-zero remainder indicates 5 is not divisible evenly by two.
There are 12 squares and 9 circles . What is the simplest ratio of circles to total shapes?
:) sorry i put the wrong answer before bc i thought i knew it but it was the wrong one and i dont know how to delete the answer sorrryyyyyyyyyyyyyyyy
Help please this is so hard I don't understand it
Answer:
<ABC = 15
< BAC = 150
Step-by-step explanation:
<C = <B since this is an isosceles triangle. We know this because AC = AB
<C = 15 so <ABC = 15
The sum of the angles of a triangle is 180
A + B+ C = 180
A + 15+15 = 180
A +30 =180
A = 180-30
A = 150
< BAC = 150
There are some Rs2 and Rs5 coins in a box. The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3. The value of all the Rs5 coins is Rs45. What is the value of all the Rs2 coins in the box?
Given:
The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.
The value of all the Rs5 coins is Rs45.
To find:
The value of all the Rs2 coins in the box.
Solution:
Let x be the number of Rs2 coins and y be the number of Rs5 coins.
The value of all the Rs5 coins is Rs45.
[tex]5y=45[/tex]
[tex]y=\dfrac{45}{5}[/tex]
[tex]y=9[/tex]
The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.
[tex]\dfrac{x}{y}=\dfrac{1}{3}[/tex]
[tex]\dfrac{x}{9}=\dfrac{1}{3}[/tex]
Multiply both sides by 9.
[tex]\dfrac{x}{9}\times 9=\dfrac{1}{3}\times 9[/tex]
[tex]x=3[/tex]
The value of all the Rs2 coins in the box is:
[tex]\text{Required value}=2x[/tex]
[tex]\text{Required value}=2(3)[/tex]
[tex]\text{Required value}=6[/tex]
Therefore, the value of all the Rs. 2 coins in the box is Rs. 6.
Help help help help help
find the inverse function of F(x) = 1/2x-6
Answer:
[tex]F^{-1} (x) = 2x + 12[/tex]
Step-by-step explanation:
Let's assume F(x) = y, then
[tex]y = \frac{1}{2} x - 6[/tex]
Let us solve the equation for x.
[tex]y + 6 = \frac{1}{2} x[/tex]
[tex]2y + 12 = x[/tex]
Next, replace y with x and also replace x with F⁻¹(x)
Answer: [tex]F^{-1} (x) = 2x + 12[/tex]
Y=x^3/2(x^2+1) I need the steps.
Answer:
0
Step-by-step explanation:
If you are looking for the x- intercept image is below
if you are looking for the y- intercept its the same as the x. Image is below
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every quarter for the next 8 years. the interest charge is 9% per year compounded quarterly. what is the price of the house?
Answer:
The price of the house is $ 853,735.05.
Step-by-step explanation:
Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:
300,000 + (15,000 x 12 x 8) = X
300,000 + (180,000 x 8) = X
300,000 + 1,440,000 = X
1,740,000 = X
X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000
X x (1 + 0.0225) ^ 32 = 1,740,000
X x 1.0225 ^ 32 = 1,740,000
X x 2.0381030257737 = 1,740,000
X = 1,740,000 / 2.03810
X = 853,735.05
Therefore, the price of the house is $ 853,735.05.
Intersection and conditional probability problem. Can anyone help solve this problem?
Part (a)
Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.
Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).
Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.
Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.
----------------
Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.
The last variable to find is variable d.
Along the second row, we can say,
c+6 = d
29+6 = d
d = 35
Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.
----------------
To summarize so far, we have
a = 10, b = 20, c = 29, d = 35, e = 26
These values will replace the letters as shown in figure 2.
Figure 2 will be used to answer both parts (a) and (b).
----------------
After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total
Divide the two values and reduce the fraction as much as possible
10/65 = (2*5)/(13*5) = 2/13
Answer: 2/13==========================================================
Part (b)
There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.
We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.
We have a = 10 seniors who are also physics majors out of 39 physics majors total.
That constructs the fraction 10/39
Answer: 10/39Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y + 4 = 3(x-3)
B. y + 4 = -3(x - 3)
C. y - 4 = -3(x+3)
D. y - 4 = 3(x+3)
Answer:
B
Step-by-step explanation:
slope is negative
point slope formula is : (y-[tex]y_{1}[/tex]) = m(x-[tex]x_{2}[/tex])
the formula has minus signs that change the coordinates to the opposite value .
What is Start Fraction 5 Over 8 End Fraction divided by One-fourth?
Answer:
2.5
Step-by-step explanation:
5/8 ÷ 1/4
Division sign changes to multiplication and the reciprocal of the divisior is used to multiply instead :
5/8 * 4/1
= (5*4) / (8*1)
= 20 / 8
= 2.5
Which expression is equivalent to a^7
Answer:
here is your answer
Step-by-step explanation:
here is your answer
What is the sum of 1/4 and 1/2?
Answer:
Thw sum of 1/4 and 1/2 is 3/4
Step-by-step explanation:
You have to put them in common like terms so
1/4 + 1/2 = ?
1/4 + 2/4 = 3/4
1/4 + 1/2
(1 + 1*2)/4
3/4
I hope it's help you...
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Which of the following best describes the use of the formula S = (n - 2)180°,
where n is the number of sides?
A. It is used to find the number of interior angles in a regular polygon.
B. It is used to find the sum of the interior angles in a regular
polygon.
O c. It is used to find the sum of the exterior angles in a regular
polygon
O D. It is used to find the number of exterior angles in a regular
polygon
SUBMIT
Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.
Answer:
5 rows of 4 each
4 rows of 5 each
2 rows of 10 each
10 rows of 2 each
1 row of 20
20 rows of 1
Step-by-step explanation:
There are four points on a line: A, B, C and D, so that AB=1,BC=2,CD=4. Find the length of segment AD. Consider all possibilities and draw a picture for each one of them.
All possible answers for the length of AD are, _, _, _, _, _.
Answer:
7
Step-by-step explanation:
Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.
Answer:
7, 1, 5, and 3
Step-by-step explanation:
Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.