In the United States, only Hawaii has a tropical wet climate. In some parts of Hawaii, rainfall is very heavy- over 400 inches per year on the windward side of the Hawaiian island of Kauai. The table shows the monthly rainfall for one year at a reporting station in Hawaii.
Answer:
Mean = 14.33333333
Median = 11
Mode= 9 and 11
Range = 42
Step-by-step explanation:
To find the mean, add all the numbers
(5+1+15+43+9+9+11+11+14+12+36+6) = 172
Divide by the number of numbers
172/12 = 14.33333333
Median is the middle number when listed from smallest to largest
1,5,6,9,9,11,11,12,14,15,36,43
Split into 2 even groups
1,5,6,9,9,11, 11,12,14,15,36,43
The middle is between 11 and 11
(11+11)/2 = 11
Mode is the number that appears mode often
This has 2 modes, 9 and 11
Range is largest number minus smallest number
43-1 = 42
Find the value of x. please help
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15
make the letter in the bracket the subject of the A=
[tex]v = u + at \: (a)[/tex]
Answer:
a=acceleration due to gravity=9.8m/s²
v=final velocity
u=initial velocity
t=time taken
Which of the following equations represents a line that is perpendicular to
y --4x+9 and passes through the point, (4,5)?
A. y=1/4x+5
B. y=-4x+4
C. y=1/4x+4
D. y=1/4+6
Answer:
C. y=1/4x+4
Step-buy-step explanation:
y = -4x + 9
slope = m = -4
slope of perpendicular lines: m1 + m2 = -1
so the new slope will be 1/4
then use slope point equation again it does not matter which point you use
y - y1 = m ( x - x1 )
y - 5 = 1/4 ( x - 4)
y = 1/4x -1 +5
y = 1/4x +4
expand and simplify (×+3)(×-2)
Answer:
multiplyeach values on both sides
Answer:
x^2 +x -6
11 [tex]\frac{3}{10}[/tex]
[tex]\frac{77}{6}[/tex]
Step-by-step explanation:
Need answer asapppp I have 10 min only!!!
Help me PLZ! I’ll give u brainliest!
Answer:
Step-by-step explanation:
area of card board=(6+4+6+4)×10+2×6×4
=200+48
=248 in²
Describe the behavior of the function h around its vertical asymptote at x=-6.
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
the diameter of a circle is 18 miles. What is the area? Give the exact answer in simplest form
Answer:
254.47
Step-by-step explanation:
Raidus of the circle is 9
Formula to find the area is pi r^2
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
The bakery owner will use both machines to glaze a total of 375 dozen
doughnuts. She plans to start both machines at the same time.
Based on the rates fromwhat is the total number of hours it
will take both machines working together to glaze 375 dozen doughnuts?
Answer:
2250 i think
Step-by-step explanation:
Let’s say you don’t invest at all, and just put $6000 under your mattress every year. How much money will you have in 40 years?
how many solutions -(3 - 6b) = 6b + 5
Answer:
There are no solutions
Steps :
First we expand it
[tex]-3+6b=6b+5[/tex]
Then we add 3 to both sides
[tex]-3+6b+3=6b+5+3[/tex]
Then we simplify
[tex]6b=6b+8[/tex]
Then we subtract 6b from both sides
[tex]6b-6b=6b+8-6b[/tex]
Simplify
[tex]0=8[/tex]
No solutions !
I NEED HELP WITH THE TOP ONE ON THE RIGHT!
Answer:
A. y = 2/5x - 2
Step-by-step explanation:
We can use the slope formula to find the slope of the line.
[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]
Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.
Determine the value of x in the diagram below when lines a and b are parallel.
at
(2x - 5)
b
(x + 20°
25°
15°
0 000
75°
55°
Answer:
25°
Step-by-step explanation:
2x - 5° = x + 20°
2x - x = 20° + 5°
x = 25°
Question 15 of 25 Given any triangle ABC with corresponding side lengths a, b, and c, the law of cosines states: 6. C A O A. b^2=a^2 +c^2 - 2 ac cos(B) so O B. b^2= a^2 +c^2 - 2bccos(A) O C. b2 = a^2 -c^2 -25ccos(5) OD. b^2=a^2 -c^2 -2bccos(C)
The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
What is the law of cosine?Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is the opposite side to angle A)
We have been Given any triangle ABC with corresponding side lengths a, b, and c.
In the given triangle ABC, the sides are;
BC = a, AB = b and AC = c
Now we know as per the law of cosines for all three sides of the triangle;
c² = a² + b² - 2ab cosC
a² = b² + c² - 2bc cosA
b² = a² + c² - 2ac cosC
Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
Learn more about the law of cosines here:
https://brainly.com/question/17289163
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Emil is cutting a 72-inch-long board and a 54 in long board into shelving. He wants to make as many shelves as he can while using up all the wood. What is the longest possible length of the shelves?
Answer: The longest possible length of the shelves = 18 inches
Step-by-step explanation:
Given: Lengths of two boards are 72-inches and 54 inches.
To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)
72 = 2 x 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
HCF(72,54) = 2 x 3 x 3 = 18
Hence, the longest possible length of the shelves = 18 inches
Can someone help me out ASAP
I WILL GIVE OUT BRAINLY
Answer: area= 16.8 yds^2
perimeter=18.8 yds
Step-by-step explanation:
Answer:
Perimeter = 20.2876 yds and Area = 16.8 yds^2
Step-by-step explanation:
Hope this helps :).
how do you solve 52/x = 13
Answer:
C
Step-by-step explanation:
because to solve it you are seeing which number divises 52 to get you 13
so using the inverse you just need to use multiplication
Answer:
-39
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+52=13
Step 2: Subtract 52 from both sides.
x+52−52=13−52
x=−39
Answer:
x=−39
Divide -5/6 divided by -10 very urgent
Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by canceling the common factors.
Answer:
-
Step-by-step explanation:
-5/6÷-10
-5/6*1/-10
-5/-60
1/12
what is it the difference between the integers -11 and -3
The volume of a cone-shaped funnel is 236 cubic centimeters. The radius of the funnel is 5 centimeters Find the height of the funnet Round
your answer to the nearest whole number
The height is about
centimeters
Answer:
9 cm
Step-by-step explanation:
V = 1/3 pi r^2 h
V = 1/3 * 3.14 * 5^2 * h
236 = 1/3 * 3.14 * 25 * h
236 = 26.1667 h
236 / 26.1667 = h
9.019 = h
Rounded to the nearest whole number the h is about 9 cm.
For a certain arithmetic sequence, [tex]a_{3} =14, a_{10}=98[/tex]. Write the first three terms of the sequence.
I'll mark you as brainliest *only if you answer*. Thanks <3
Answer:
An arithmetic sequence is defined by:
[tex]a_n = a_{n-1} + d[/tex]
Here, we know that:
[tex]a_3 = 14\\a_{10} = 98[/tex]
Using the recursive relation, we can write:
[tex]a_{10} = 98 = a_9 + d[/tex]
And can keep applying the recursive relation, so we will have:
[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]
And so on, until we get to a known term:
[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]
[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]
Then we can solve:
98 = 14 + 7*d
for d:
98 - 14 = 7*d
84 = 7*d
84/7 = d = 12
Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:
Here, we can rewrite the recursive relation as:
[tex]a_{n-1} = a_n - d[/tex]
Then:
[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]
[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]
[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]
Then the first 3 terms are:
-22, -10, 2
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)
Answer:
y=-7x-3
Step-by-step explanation:
y=-7x+b
32=-7(-5)+b
32=35+b
-3=b
y=-7x-3
Given two terms in a geometric sequence, find the 8th term and the recursive formula.
a5 = 3888 and a3 = 108
Answer:
Step-by-step explanation:
Finding the 8th term of this sequence will be much easier with an explicit formula, so we will find that, find the 8th term, then write the equation for the recursive. The recursive formula is only good if you know all the terms before the one you're looking for. That means if we want the 8th term, we first have to find the 7th term, but before that we have to find the 6th term, etc...
We can find the explicit formula for this using the info we have about the 5th term and the 3rd term. The explicit formula looks like this, in general terms:
[tex]a_n=a_1*r^{n-1[/tex] where a1 is the first term and r is the common ratio. We can solve for both, one at a time. First, using the fact that the 5th term is 3888:
[tex]a_5=a_1*r^{5-1[/tex] and subbing in and simplifying:
[tex]3888=a_1*r^4[/tex] and we will solve that for a1:
[tex]a_1=\frac{3888}{r^4}[/tex]
Now the other equation we need for this system, using the fact that the third term is 108:
[tex]108=a_1*r^2[/tex] and we sub in our expression for a1:
[tex]108=(\frac{3888}{r^4})*r^2[/tex] which simplifies to
[tex]108=\frac{3888}{r^2}[/tex] and
[tex]r^2=\frac{3888}{108}[/tex] so
r = 6. Now we'll plug 6 in for r to find a1:
[tex]a_1=\frac{3888}{6^4}[/tex] so
a1 = 3. Now we have the a and r for the explicit formula:
[tex]a_n=3*6^{n-1[/tex] and we simply put in an for n:
[tex]a_8=3*6^{8-1[/tex] and
[tex]a_8=3*6^7[/tex] which gives us the 8th term as
a8 = 839808
The recursive formula is
[tex]a_n=a_{n-1}*r[/tex] and it works, also, but again, you have to have all the terms that come before the one you want or this formula is useless. Explicit is always better, in my opinion.
What is the following product?
StartRoot 12 EndRoot times StartRoot 18 EndRoot
StartRoot 30 EndRoot
5 StartRoot 6 EndRoot
6 StartRoot 5 EndRoot
6 StartRoot 6 EndRoot
The solution to the multiplication of surds (2√3) × (3√2) is; 6√6
We want to find; √12 × √18Let us break each of them into the factors to get;
√12 × √18 = √(4 × 3) × √(9 × 2)
Now,this can be expressed as;(√4 × √3) × (√9 × √2)
Simplifying this further gives;
(2√3) × (3√2)
Now, in surds, we know that;a√b × p√q = ap√bq
Applying the surd rule above to our question gives;(2√3) × (3√2) = 6√6
Read more about multiplication of surds at; https://brainly.com/question/24700530
15 cm equals_____ mm
Answer:
I the answer would be 150 millimeters.
=================================================
Work Shown:
1 cm = 10 mm
15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15
15 cm = 150 mm
HURRY PLEASE 100 POINTS WILL GIVE BRAINLIEST
Describe how the rules of adding and subtracting fraction are similar and different from the rules of adding and subtracting rational expressions. When are excluded values applied and why are they needed? Give an example. This needs to be an in depth answer.
Answer:
To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.
Step-by-step explanation:
Point F is reflected over the yaxis to create F. Use an ordered pair to name the location of F, and determine the
distance between Fand F.
Answer:
Reflection about the y-axis is according to the rule
(x,y)->(-x,y)
Therefore F(x,y) -> F'(-x,y)
The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.
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