Answer:
D. alternate interior angles
Step-by-step explanation:
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles
So p and w are alternate interior angles
10) Jane has 68 stickers. She sticks 3 stickers on each page of her
album.
a) How many pages does she use in all?
pages
b) How many stickers will the last used page have?
stickers
c) The sticker album has 50 pages.
How many more stickers does Jane need to fill all the pages?
stickers
Answer:
Step-by-step explanation:
a) She uses 23 pages (but the last page has 2)
b) 2
c)Jane needs 82 more stickers because
50pages-23=27
27x3(stickers, befcuaase 3 stickers per page)=81
81+1=82 because on 23 page theres only 2 sticker
Hope this helps
Simplify (5a)(5b) help me plz
Answer:
25ab
Step-by-step explanation:
(5a)(5b) -> Expand the brackets (multiply like terms together, etc) When the brackets are expanded, values can be multiplied, etc easily
25ab -> 5 multiplied by the other 5 gives 25; a multiplied by b gives ab
Solve the system by the elimination method.
2x + y - 4 = 0
2x - y - 4 = 0
When you eliminate y, what is the resulting equation?
A.x = 0
B.4x = -8
C.4x = 8
Answer: C is correct, 4x=8
Step-by-step explanation:
You will add the two equations...
4x-8=0
Now you need to move the -8 over, which reverses its sign to positive.
4x=8
Match the equivalent expressions.
x - 3y + 12
12 - 3y - 2x + x + 2x
3x + 2y - 2x + y + 12
3y + 12
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
x + 3y + 2x - 3x + 7 + 5
x + 3y + 12
5 + 2y + 7x - 4x + 3y - 17
Answer:
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
Step-by-step explanation:
In order to match the equivalent expressions we have to put each expression in its simplest form
So,
[tex]x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12[/tex]
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
..
Answer:
x + 3y + 12 <--> x + 3y + 2x - 3x + 7 + 5
x − 3y + 12 <--> 12 - 3y - 2x + x + 2x
3x + 2y − 2x + y + 12 <--> 3x + y - 12
3y + 12 <--> 4y + 3y + 3x - 6y - 10 - 2
A number cube with the numbers 1 to 6 is rolled. What is the theoretical probability of rolling the number 3?
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]
There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]
Therefore, the probability is [tex]\frac{1}{6}[/tex].
Answer:
1/6
Step-by-step explanation:
When we roll a die, we can get the numbers 1,2,3,4,5,6
Each is equally likely
P(3) = How many times 3 occurs/ total
3 occurs 1 time in on the die and there are 6 possible numbers
P(3) = 1/6
How do you justify AM = 6 ?
Answer:
Definition of midpoint
Step-by-step explanation:
AM = ME because of the lines showing they are equal
M is therefore the Midpoint of the segment AE
Since AE = 12
AM is 1/2 of AE
AM = 1/2 (12)
AM = 6
We use the definition of midpoint
Assume that you have taken out an amortized loan for $10,000 to buy a new car. The yearly interest rate is 18% and you have agreed to pay off the loan in 4 years. What is your monthly payment?
Answer:
$293.75
Step-by-step explanation:
Any number of financial calculators, spreadsheets, and on-line calculators can compute the monthly payment for you. Or you can put the numbers into the formula and compute it yourself.
A formula I like is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the loan amount, r is the annual interest rate, and t is the number of years. Filling in the given information and doing the arithmetic, we get ...
A = $10000(0.18/12)/(1 -(1 +0.18/12)^(-12·4)) = $150/(1 -1.015^-48) = $293.75
Your monthly payment is $293.75.
pls help asap i’m timed!!!
This is ed right? If so the answer would be c
ANSWER
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
EXPLANATION
The given function is
[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]
The vertex of this function is (3,8)
This function opens downwards so its range is
[tex]y \leqslant 8[/tex]
The function
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
also has vertex (-3,8)
This function is also reflected in the x-axis. Its range is;
[tex]y \leqslant 8[/tex]
The correct answer is C
If f.) = 2x2 + 1, what is f(x) when x = 3?
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?
Answer: that not a real question it cant be answered has to be missing something
Step-by-step explanation:)
Answer:
Hi my name is Kylie "How You Doing" phrase from Friends, Joey
Find an equation for the line parallel to y = 3 x - 2 y-intercept (0,5). Write the answer in slope-intercept form.
Is 8 a solution to the equation below? Yes or No?
3(x - 2) + 4 = 22
To see if 8 is the solution to the equation, 3 (x - 2) + 4 = 22, you must replace x with 8 and solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS . If the sides are equal to each other then 8 IS a solution.
3(8 - 2) + 4 = 22
Parentheses...
3(8 - 2) + 4 = 22
8 - 2 <<<In the parentheses so you must solve first
6
so...
3(6) + 4 = 22
Multiplication...
3(6) + 4 = 22
3 * 6
18
so..
18 + 4 = 22
Addition...
18 + 4 = 22
18 + 4
22
so...
22 = 22
Are they equal to each other? YES!!!
8 is a solution to the equation 3 (x - 2) + 4 = 22
Hope this helped!
~Just a girl in love with Shawn Mendes
How do you solve this?
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]
Check the picture below.
The equation of a circle is:
(x - h)² + (y - k)² = radius²
Note:
h = x coordinate for the centre of the circle
k = y coordinate for the centre of the circle
The equation for the circle in the question is:
(x - 6)² + (y - 5)² = 16
So the coordinates for the centre of the circle is:
(6, 5)
------------------------
Since PQ is the diameter of the circle, that means the coordinates for the midpoint of PQ would also be the coordinates for the centre of the circle
That means:
( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)
So x-coords of Q:
[tex]\frac{10 + x}{2} = 6[/tex]
10 + x = 12
x = 2
y-coords of Q
[tex]\frac{-5+ x}{2} = -5[/tex]
-5 + x = - 10
x = 5
So the coordinates for Q are:
(2, -5)
---------------------------------------------
Answer:
Option A) (2, - 5)
The function f is continuous on the interval [3,11] with some of its values given in the table below. Find the average rate of change in t over the interval [3,11].
X. | 3 | 5 | 8 | 10 | 11 |
F(x)| -4| 4 | 10 | 16 | 20 |
A. 1/3
B. 2
C. 3
D. None of these
Answer:
C
Step-by-step explanation:
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3
The average rate of change in t over the interval [3,11] is C. 3.
What is the average rate of change of a function?The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3.
The average rate of change in t over the interval [3,11] is C. 3.
Hence, The correct answer is option C. 3.
To learn more about the average rate of change of a function
https://brainly.com/question/2170564
#SPJ2
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take
10 men to dig a hole 7 metres deep?
Answer:
I think the picture here explains you everything
hope this helped
Answer:
8 days
Step-by-step explanation:
Evaluate log1212
a. 0
b. 1
c. 12
d. -1
Answer:
B
Step-by-step explanation:
I just took the test lol
How can u tell if a ratio is proportional
Answer:
Ratios are usually proportional if they are the same or have the same relationship.
Step-by-step explanation:
Like: you have 2 fractions that reduce and come out the same they are proportional.
Hope my answer has helped you!
Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.
Step-by-step explanation:
On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz
is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has
pop quiz on the same day?
Final answer:
The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.
Explanation:
To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.
The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:
Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25
When you calculate this, you get:
0.48 × 0.25 = 0.12
Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.
The probability that Nick oversleeps and has a pop quiz on the same day is 12%.
To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.
Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25
The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)
Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12
So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.
what is the correct way to find the distance between the points (9, 6) and (4, 1)?
Answer: Using the distance formula 5sqrt 2 is the answer
d=sqrt(x1-x2)^2+(y1-y2)^2
Step-by-step explanation:
d=sqrt(9-4)^2+(6-1)^2
d=sqrt(5)^2+(5)^2
d=sqrt 25+25
d=sqrt 50
d= 5 sqrt 2
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
1. Simplify the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):
15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.
2. Separate terms with x and without x in different sides:
11.22x+10.2x>-38.75-15.3.
3. Add similar terms:
21.42x>-54.05.
4. Divide by 21.42:
x>-54.05/21.42
x>-2.5
Step-by-step explanation:
Choose a pair of corresponding angles.
22 and 25
_1 and 26
7/8
48 and 410
10 and
4
_9 and 43
Answer:
∠10 and ∠4
Step-by-step explanation:
we know that
When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles
In this problem
∠10 and ∠4 are corresponding angles
determine the distance between -16 and -4
the answer would be 12
-4 - -16 = 12
the distance between -16 and -4 is 12.
Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of steel weighs 7.8 g
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation:
Use the graph below to determine the number of solutions the system has.
x=4
y=-x-1
Answer:
The system x = 4 and y = -x - 1 has one solution
Step-by-step explanation:
x = 4 and y = -x - 1 intersects only once on the graph
Answer:
The line x = 4 and y = - x - 1 has only one solution.
Step-by-step explanation:
Consider the provided graph.
The system of equation has the solution at the point where the line intersects.
Now consider the graph of the equation x = 4 and y = - x - 1
The graph of x = 4 is a vertical line.
From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.
Now to calculate the number of solutions simply count the number of intersecting points.
By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).
Hence, the line x = 4 and y = - x - 1 has only one solution.
Identify the property used in each step of solving the inequality 3x – 2 > –4.
Answer:
Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.
3x-2>-4 Given
3x-2+2>-4+2 Addition property of Equality
3x+0>-2 Simplification and Inverse Property of Addition for -2+2
3x >-2 Simplification and Identity Property of Addition for 3x+0
3x/3 >-2/3 Division property of Equality
1x >-2/3 Inverse property of Multiplication for the 3*1/3 part
x >-2/3 Identity property of Multiplication for the 1x part
My fraction is 3/60 and my decimal is .05 so what's the percent?
Answer:
5%
Step-by-step explanation:
3/60 = 1/20 = 0.05. This is 0.05(100%), or 5%.
Select the correct answer. If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x, find f(x) − g(x).
Answer:
2( √x - x³ )
Step-by-step explanation:
see attached.
Answer:
(f-g)(x) = 2√x - 2x³
Step-by-step explanation:
Write out the terms of f(x) as they are and then the negatives of all the terms of g. We get:
(f-g)(x) = √x - x - 2x³ + √x + x
Combining like terms, we get:
(f-g)(x) = 2√x - 2x³
To rent a car, you must pay $0.30 per mile plus a maintenance fee of $35. Write and equation to represent this function.
Let y be the total cost and x be the miles taken:
y = 0.30x + 35
35 is a fixed cost. No matter how many miles you drive the car you will still need to pay $35
.30 is a cost that depends on the miles taken (x).
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the probably of getting heads when poing a coin and getting a number greater than or equal to 5 when rolling a single die
A) 1/6
B) 1/3
C) 1/4
D) 1/12
Answer:
1/6
Step-by-step explanation:
1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6
Answer:
A. 1/6
Step-by-step explanation:
Probability of getting heads: 1/2
Probability of rolling a number >or equal to 5: 2/6
(1/2)(1/3)=1/6
using the prime factor method, find the lcm of 32 and 44
Answer:
lcm = 352
Step-by-step explanation:
32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex] ← product of prime factors
44 = 2 × 2 × 11 = 2² × 11 ← product of prime factors
lowest common multiple (lcm) = [tex]2^{5}[/tex] × 11 = 352
32 = 2*2*2*2*2 = 2^5
44 = 2*2*11 = 2^2*11
We take common and non-common numbers with the highest exponent and we multiply them.
2^5*11 = 32*11 = 352.