Answer:
2 ft/min
Step-by-step explanation:
Given that :
Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?
Time taken it wall down the path = 4 minutes
Rate of change of elevation is the same
Distance = 8 Feets
Therefore, change in elevation per minute :
Distance dropped / time taken to drop that distance
8 Feets / 4 minutes
2 Feets / minute
Change in elevation = 2 Feets per minute
Write a function rule using function notation that will transform a geometric figure by rotating it 270 degrees clockwise. a f(x, y)=(-y, x) b f(x, y)=(y, x) c f(x, y)=(-x, y) d f(x, y)=(x, -y)
Answer:
a
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ) , thus
f(x, y ) = (- y, x )
Given:
Function 'f' with two variables 'x' and 'y'.
To find:
Function rule if the parent function 'f' is rotated by 270° clockwise.
Solution:
A function given with two variables 'x' and 'y',
f(x, y) → (x, y)
If this function is rotated by 270° clockwise, the function rule will become,
f(x, y) → (-y, x)
Therefore, Option A will be the correct option.
Your teacher has 48 juice boxes and 64 candies for a Halloween party. Each student will receive the same amount of juice boxes / candies , and all juice boxes / candies must be used. What is the greatest number of students that can attend the party.
one of the interior angles of a regular polygon is 144. fine the number of sides of the polygon
Answer:
10
Step-by-step explanation:
In any polygon
exterior angle + interior angle = 180° , thus
exterior angle + 144 = 180 ( subtract 144 from both sides )
exterior angle = 36°
The sum of the exterior angles = 360°
Thus number of sides n is calculated as
n = 360 ÷ 36 = 10
Answer:
The polygon has 10 sidesStep-by-step explanation:
One of the interior angles of a polygon can be found using the formula
[tex] \frac{(n - 2) \times180\degree }{n} [/tex]where n is the number of sides of the polygon
From the question
One of the interior angles = 144
To find the number of sides substitute this value into the above formula and solve for n
That's
[tex]144 = \frac{(n - 2) \times 180}{n} [/tex]Cross multiply
We have
[tex]144n = (n - 2) \times 180[/tex]Expand the terms in the bracket
[tex]144n = 180n - 360[/tex]Group like terms
[tex]144n - 180n = - 360 \\ \\ - 36n = - 360[/tex]Divide both sides by - 36
That's
[tex] \frac{ - 36n}{ - 36} = \frac{ - 360}{ - 36} [/tex]We have the final answer as
n = 10 sidesHope this helps you
The length of a rectangle is 2 inches less than twice it’s width. If the perimeter of the rectangle is 74 inches, what is the area of the rectangle
Answer:
length = 24 incheswidth = 13 inchesStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 74 inches
The statement
The length of a rectangle is 2 inches less than twice it’s width is written as
l = 2w - 2
Substitute this expression into the perimeter formula and solve for the width
That's
74 = 2(2w - 2) + 2w
74 = 4w - 4 + 2w
6w = 78
Divide both sides by 6
w = 13
Substitute this value into l = 2w - 2
l = 2(13) - 2
l = 26 - 2
l = 24
Therefore we have
length = 24 inches
width = 13 inches
Hope this helps you
If the volume of a cube is 27m3 find one of it's sides
Answer:
3
Step-by-step explanation:
Cube volume formular = Side^3
27 = x^3
[tex]\sqrt[3]{27} = 3\\[/tex]
Check = 3*3*3 = 27
3 is the answer
what is 5 /2 equeivelent to
Answer:
2.5
Step-by-step explanation:
Since 4/2 = 2 and 5/2 is 1/2 more than 4/2, then 5/2 is equal to 2 1/2 which can be rewritten as 2.5
Answer:
5/2 = 2,5
5 to divide 2 = 2,5
Step-by-step explanation:
A quiz consists of 15 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers
Answer:
The mean and standard deviation of the number of correct answers is 3 and 1.55 respectively.
Step-by-step explanation:
We are given that a quiz consists of 15 multiple choice questions, each with five possible answers, only one of which is correct.
Let X = the number of correct answers
The above situation can be represented through binomial distribution;
[tex]P(X = x) = \binom{n}{r}\times p^{r}\times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]
where, n = number of samples (trials) taken = 15 multiple choice questions
r = number of success
p = probability of success which in our question is probability of
one correct answer out of 5, i.e; p = [tex]\frac{1}{5}[/tex] = 0.2
So, X ~ Binom(n = 15, p = 0.2)
Now, the mean of the number of correct answers is given by;
Mean of X, E(X) = [tex]n \times p[/tex]
= [tex]15 \times 0.2[/tex] = 3
And the standard deviation of the number of correct answers is given by;
Standard deviation, S.D.(X) = [tex]\sqrt{n \times p\times (1-p)}[/tex]
= [tex]\sqrt{15 \times 0.2\times (1-0.2)}[/tex] = 1.55
find 2 Pais of integers who's product is -20
Step-by-step explanation:
To find the factors of -20 (or 20), we ask ourselves: what numbers multiply each other to get -20?
We have:
-20 * 1
-10 * 2
-5 * 4
5* -4
10 * -2
20 * -1
All of these pairs are factors of -20. Choose two that you want to use! Hope this helps!
Answer:
2 and -10 or 4 and -5
Step-by-step explanation:
An integer is any whole number, positive or negative (so not fractions, decimals.... just numbers like -1, -2, 10, etc.).
Hence, there is not only one answer to your question...
It could be 2 and -10, 4 and -5... just not any decimals or fractions!
God bless and stay safe! I hope this helped.
How can you represent real world situations using positive nubers, negative nubers, and zero?
Answer:Maybe ffor the positive numbers you could use like 1,2,3,4,5,6,7,8, and 9. For the negitive number could be like -1,-2,-3,-4,-5. And zero could repersent the middle. Get it or no?
Step-by-step explanation:
Solve for x:
-10x- 5 = -8x + 11
Answer:
x = -8
Step-by-step explanation:
-10x-5 = -8x + 11
-10x + 8x = 11 + 5
-2x = 16
x = 16/-2
x = -8
So I need help. If DE=4x+10,EF=2x-1,and DF=9x-15 find DF?????
Greetings from Brasil....
Looking at the figure we can say that:
DF = DE + EFand
DF = 9X - 15
DE = 4X + 10
EF = 2X - 1
So
DF = DE + EF
9X - 15 = (4X + 10) + (2X - 1)
X = 8 and
DF = 9X - 15
DF = 57The solution is, the value of DF is 57.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
from the given information, we get,
DF = DE + EF
and
DF = 9X - 15
DE = 4X + 10
EF = 2X - 1
So, we have to simplify ,
DF = DE + EF
9X - 15 = (4X + 10) + (2X - 1)
X = 8 and
DF = 9X - 15
DF = 57
Hence, The solution is, the value of DF is 57.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ3
Solve each problem. Round to the nearest tenth or tenth of a percent.
1) What percent of 29 is 3?
2) What percent of 33.5 is 21?
I
3) What percent of 55 is 34?
4) 41% of 78 is what?
5) 28% of 63 is what?
6) 58% of what is 63.4?
Answer:
See below.
Step-by-step explanation:
1) What percent of 29 is 3?
3/29 * 100% = 10.3
2) What percent of 33.5 is 21?
21/33.5 * 100% = 62.7%
3) What percent of 55 is 34?
34/55 * 100% = 61.8%
4) 41% of 78 is what?
41% * 78 = 0.41 * 78 = 32.0
5) 28% of 63 is what?
28% * 63 = 0.28 * 63 = 17.6
6) 58% of what is 63.4?
58% * x = 63.4
0.58x = 63.4
x = 63.4/0.58 = 109.3
Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle books, but she can afford no more than 15 items total. If x represents the number of children's books and y represents the number of puzzle books Amelie purchases, which point lies in the solution set?
Answer:
X = 8.5, Y = 6.5
Step-by-step explanation:
X = # of children's books
Y = # of puzzle books
Amelie wants to buy 2 more children's books than puzzle books.
15 - 2 = 13 (Save the 2)
13 / 2 = 6.5
6.5 + 2 = 8.5
So; 8.5 + 6.5 = 15
X = 8.5
Y = 6.5
If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a matrix, what is the rank of A
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
[tex]m. \: 2cos \: a = \sqrt{2 + \sqrt{2 + \sqrt{2 + 2cos \: 8a} } } [/tex]
please help me.....
I need full work!!
While this is with theta instead of A it still is the same thing. I hope this helps
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identity:
cos 2A = 2 cos²A - 1
Proof RHS → LHS
Given: [tex]\sqrt{2+\sqrt{2+\sqrt{2+2cos8A}}}[/tex]
Factor: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos8A)}}}[/tex]
Let α = 4A: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos2\alpha)}}}[/tex]
Double Angle Identity: [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+2cos^2\alpha-1)}}}[/tex]
Simplify: [tex]\sqrt{2+\sqrt{2+\sqrt{2(2cos^2\alpha)}}}[/tex]
[tex]\sqrt{2+\sqrt{2+2cos\alpha}}}[/tex]
Substitute (α = 4A): [tex]\sqrt{2+\sqrt{2+2cos4A}}}[/tex]
Factor: [tex]\sqrt{2+\sqrt{2(1+cos4A)}}}[/tex]
Let β = 2A [tex]\sqrt{2+\sqrt{2(1+cos2\beta)}}}[/tex]
Double Angle Identity: [tex]\sqrt{2+\sqrt{2(1+2cos^2\beta-1)}}}[/tex]
Simplify: [tex]\sqrt{2+\sqrt{2(2cos^2\beta)}}}[/tex]
[tex]\sqrt{2+2cos\beta}[/tex]
Substitute (β = 2A): [tex]\sqrt{2+2cos2\alpha}[/tex]
Factor: [tex]\sqrt{2(1+cos2\alpha)}[/tex]
Double Angle Identity: [tex]\sqrt{2(1+2cos^2\alpha-1)}[/tex]
Simplify: [tex]\sqrt{2(2cos^2A)}[/tex]
2 cos A
2cos A = 2cos A [tex]\checkmark[/tex]
The population of a city is 1,880,000 what is the value of each of the two 8s in this number how are the two values related
Answer:nnn
Step-by-step explanation:
jjj
For 12 months,Janenne has belonged to a book-of-the-month-club.Janenne has spent 70.45 on the club.The first month, she payed a monthly fee and spent an additional 10.45 on books.She has only payed the monthly fee since then.What is the initial values of the rate of change of the function
Answer:
The rate of change of the function = 5
Step-by-step explanation:
From the given parameters, we have;
The number of months Janenne has belonged to the book-of-the-month-club = 12
The amount Janenne has spent on the club = 70.45
The amount she paid in the first month = Monthly fee + 10.45
Let the monthly fee = x
The total amount Janenne has spent on the club can be given by the following formula;
10.45 + 12×x = 70.45
12×x = 70.45 - 10.45 = 60
x = 60/12 = 5
The monthly due of the book club = 5
Therefore, the rate of change of the function × 5
The function of the amount spent on the club = Y = t×x
Where;
x = The rate of change of the function
t = The time in months
The rate of change of the function = 5.
(x+6)(x-5) = x²+x-30
Answer:
0=0
Step-by-step explanation:
(x+6)(x-5) = x^2 + - 30
Step 1: Simplify both sides of the equation.
x^2 + x-30 = x^2 + x-30
Step 2: Subtract x^2 from both sides.
x^2 + x - 30 - x^2 = x^2 + x - 30 - x^2
x-30=x-30
Step 3: Subtract x from both sides.
x-30-x=30-x
-30 = - 30
step 4: Add 30 to both sides.
-30+ 30 = -30 + 30
0=0
Help needed ASAP will give brainliest
Answer:
-5
Step-by-step explanation:
counting is like backwards in negatives so a +5 is slow and a +25 is high but in negatives its the opposite because you are missing that many
I dont really know who to explain it but I hope this helps
Simplify to create an equivalent expression. 6(7−3y)+6(y+1)
Answer:
48 = 12y
Step-by-step explanation:
First, we simplify
6 * 7 = 42
6 * 3y = 18y
6 * y = 6y
6 * 1 = 6
Then, rewrite the expression
42 - 18y + 6y + 6
Now, rearrange the expression
42 + 6 - 18y + 6y
Then, simplify
48 - 12y
Hope this helps!
Answer:
48 - 12 y
Step-by-step explanation:
6 (7 - 3 y) + 6 (y + 1)
Use distributive property to get rid of the parentheses:
42 - 18 y + 6 y + 6
now combine like terms:
(42 + 6 ) + (- 18 y + 6 y) = 48 - 12 y
With work please!!!
f(x) = -x^4 + 5x - 4x^2
(f (2))^2
Answer: 484
===============================================
Work Shown:
First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify
f(x) = -x^4 + 5x - 4x^2
f(2) = -(2)^4 + 5(2) - 4(2)^2
f(2) = -16 + 5(2) - 4(4)
f(2) = -16 + 10 - 16
f(2) = -6 - 16
f(2) = -22
Then we square this result to find the value of [tex][ f(2) ]^2[/tex]
[tex]f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484[/tex]
i need an explainarion
Answer:
x=3
Step-by-step explanation:
The line of reflection would be at x=3. It’s like a mirror. The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes. Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.
What is the probability of rolling a “7" on a fair 6-sided die and flipping a tails on a
fair coin?
0 because there is no 7 on a fair 6-sided die
Answer:
The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.
Can you explain exponents
Answer:
Read Exp:
Step-by-step explanation:
Exponents are like a simpler way to multiply something by itself a certain amount of times.
So like if you were to see 7^4 on a test or assignment you would solve it like this:
- 7x7x7x7.
It just means 7 times itself 4 times. NOT 7 times 4.
There are 6 green marbles, 11
blue marbles, 7 red marbles, and 8
orange marbles in a bag. Three
marbles are selected and marbles
are NOT replaced. What is the
probability of selecting a green
marble, then a red marble?
Step-by-step explanation:
green: 6/4
red: 7/4
this is all i know
A jacket that normally sells for $45 is on sale with 20% off. What is the sale price?
Answer:
20% of 45 is 9. sale price- 9$
Step-by-step explanation:
20% of 45
20/100 = 0.20 (0.20) (45) = 9
Answer:
37.50
Step-by-step explanation:
45 ÷ 80% = 37.50
÷80% because original price reduced TO 80%.
Zach is 4 years older than twice his sister Maya’s age. Zach is 28 years old. Let m represent Maya’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Zach’s age?
Answer:
2m + 4 = 28
Step-by-step explanation:
Zach = 28 years old
2 times Maya's (m) age
2*m
4 years older plus twice Maya's age.
2 * m + 4 = 28
2m + 4 = 28
Hope it helps : )
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form
centre = (6, - 1) and r = [tex]\sqrt{40}[/tex] = 2[tex]\sqrt{10}[/tex]
I need help can someone help me
Answer:
See below.
Step-by-step explanation:
The graph is very unclear, but if you look at x = 2, and you go up until you intersect a point on the line, the y-coordinate of that point is the value written on the graph to the left of the y-axis.
Answer:
i think the answers c or d
by the way are you on odyssey ware or USA test prep
Step-by-step explanation:
what is the measure of ∠ABC? chile I'm confused
I hope this helps! :)
The answer is 120 degree
Pls mark as brainliest
Answer:
Simple 1 part 120 degrees
Step-by-step explanation: