Answer:
1 mile = 4 laps
3 miles = 12 laps
9/4 = x /1
9/4 = 2.25
he has run 2.25 miles = 9 laps
he needs to run 0.75 miles = 3 laps
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.
I am a three digit number the digits total is nine when added together all of my digits are odd numbers the hundreds digit is less than the tens digit but more than the ones digit what is the mystery number
Answer:
The mystery number is 351.
Step-by-step explanation:
Let the numbers be xyz.
The digits total is 9; That is, x+y+z = 9All of the digits are odd numbers; That is, the digits will be 1,3,5,7 and / or 9.Since the digits total is 9, then '9' cannot be among since summing it with other digit(s) will be greater than 9. Hence, '9' cannot be among the digits.
Also, '7' cannot be among the three digit number, since adding 7 to any two of the remaining three digits (that is, 1, 3, and / or 5) will make the total greater than 9. Hence, '7' also cannot be among the digits.
The remaining digits are 1,3 and 5; which all sum up to 9. That 1 + 3 + 5 = 9.
The hundreds digit is less than the tens digit, that is, x is less than y. But it (hundreds digit) is more than the ones digit, that is, x is more than z. Hence, x is 3, since '3' is the only number which is less than one of the numbers and as well more than one of the numbers. If x is less than y, then y is 5 and then z is 1. Hence, xyz becomes 351.Hence the mystery number is 351.
(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
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.
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
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
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]
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
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
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.
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
[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]
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
-6
Step-by-step explanation:
We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:
Ax + By = 3
A * (-7) + B * 2 = 3
-7A + 2B = 3
We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:
x + 3y = -5
3y = -x - 5
y = (-1/3)x - (5/3)
So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:
Ax + By = 3
By = -Ax + 3
y = (-A/B)x + 3/B
This means that -A/B = -1/3. So, we have a relationship between A and B:
-A/B = -1/3
A/B = 1/3
B = 3A
Plug 3A in for B into the equation we had where -7A + 2B = 3:
-7A + 2B = 3
-7A + 2 * 3A = 3
-7A + 6A = 3
-A = 3
A = -3
Use this to solve for B:
B = 3A
B = 3 * (-3) = -9
So, B = -9 and A = -3. Then B - A is:
B - A = -9 - (-3) = -9 + 3 = -6
The answer is -6.
~ an aesthetics lover
Answer:
-6
Step-by-step explanation:
Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.
The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by
\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find
\[y = -\frac{1}{2} x + 4.\]Therefore, $m+b = -\frac{1}{2} + 4 = \boxed{\frac{7}{2}}.$
When the number k is multiplied by 5, the result is the same as when 5 is added to k. What is the value of k?
Answer:
k = 1[tex]\frac{1}{4}[/tex] or 5/4
Step-by-step explanation:
5k = 5 + k
4k = 5
k = 5/4
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%.
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
Average rate of change for the function from 1 to 4.
H(x)=x^3-1
Answer:
A. 21
Step-by-step explanation:
First, find h(1) and h(4) given the function, [tex] h(x) = x^3 - 1 [/tex]
[tex] h(1) = (1)^3 - 1 = 1 - 1[/tex]
[tex] h(1) = 0 [/tex]
[tex] h(4) = (4)^3 - 1 [/tex]
[tex] h(4) = 64 - 1 [/tex]
[tex] h(4) = 63 [/tex]
Average rate of change = [tex] \frac{h(b) - h(a)}{b - a} [/tex]
Where,
[tex] a = 1, h(a) = 0 [/tex]
[tex] b = 4, h(b) = 63 [/tex]
Average rate of change = [tex] \frac{63 - 0}{4 - 1} [/tex]
[tex] = \frac{63}{3} = 21 [/tex]
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
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:
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
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.
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
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:
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:
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]
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
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.
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
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.
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.