Answer:
384
Step-by-step explanation:
First find 20% of 320
320 x .2 = 64
So this year, there is an increase of 64 students.
Add that to last year's 320
320 + 64 = 384
Please explain The Four Color Theorem and list 1 example
Answer:
The Four Color Theorem, or the Four Color Map Theorem, in its simplest form, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. As promised, that's a theorem any elementary-level student can grasp.
Step-by-step explanation:
Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .
Answer:
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Step-by-step explanation:
Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:
[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
[tex]h = 0[/tex]
[tex]k = 0[/tex]
[tex]4\cdot p = -4[/tex] (Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
[tex]p = -1[/tex]
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)
If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:
[tex]F(x, y) = (0-1, 0)[/tex]
[tex]F(x,y) = (-1,0)[/tex]
And the equation of the directrix is represented by:
[tex]x = -p[/tex] (Eq. 4)
([tex]p = -1[/tex])
[tex]x = 1[/tex]
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Answer:
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is
✔ –1
.
The coordinates of the focus are
✔ (–1,0)
.
The equation of the directrix is
✔ x = 1
.
Step-by-step explanation:
What is the result when x4 – 723 – 13x2 – 2x + 7 is divided by x + 1? If there is
r(2)
a remainder, express the result in the form q(x) +
b(a):
PLEASE ANSWER QUICKLY ITS TIMED
A sphere has a diameter of 10 in. What is the volume of the sphere?
A. V=125/3 in cubed
B. V=500/3 in cubed
C. V=500/3 pi cubed
D. V= 4000/3 pi cubed
Answer:
V≈523.6in³
d Diameter
Step-by-step explanation:
so its b
The highest point on Earth is Mount Everest with a height of 8,848 meters. The lowest point on Earth is the Mariana Trench, with a height of -11,034 meters. A height of 0 corresponds to sea level (the height of the world's oceans). What is the vertical distance between Mount Everest and Mariana Trench? Write the expression then solve it.
Answer:
The vertical distance between Mount Everest and Mariana Trench will be 19,882 ft
Step-by-step explanation:
Here, we want to get the vertical distance between the highest point on the Earth and the lowest point on the Earth
To find the vertical distance, we simply subtract the height of the lowest point from the height of the highest point
Mathematically, that would be;
8848 - ( 11, 034) = 19,882 ft
Simplify by dividing -5/8 divided by -3/4
Need help WITH THE QUESTION HELP ME PLZZZZZZZZZ
Answer:i think its 3 packages of plates and 2 packages of cups
Step-by-step explanation:
beacause 8 times 3 is 24 and 12 times 2 is 24
Answer:
A
Step-by-step explanation:
I cant find the words to explain. They both meet at 24. 8 x 3 = 24 and 12 x 2 = 24. So 3 packages of 8 and 2 packages of 12.
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
Answer:
We can assume X is the number of girl, so the number of boy should be X+6.
Based on question, we can get X+X+6=32
2X+6=32
2X=26
X=13
So the answer is, 13 girls are in the class.
Step-by-step explanation:
PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)
Answer:
1,4,5
Step-by-step explanation:
Ive done it myself
Answer:
1,2,4,5
Step-by-step explanation:
Solve for y When x = -2
Geometry help! Due really soon
10 pts + brainliest
m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.
Angles 3 and 5 are
.
The equation
can be used to solve for x.
m∠5 =
°
Answer:
Angles 3 and 5 are Same side interior angles.
The equation (3x + 4) + (2x + 11) = 180 can be used to solve for X.
m<5 = 77 degrees
Step-by-step explanation:
Sorry if it's too late for you to finish your assignment on time :/
But I hope you have a good day :)
Answer:
Angles 3 and 5 are Same side interior angles.
Step-by-step explanation:
A student rewrote 4(3x+10) as 12x+10 what’s the erro
Need help plz
Answer
12x+40
Step-by-step explanation:
when distributing, you have to multiply all numbers in the parentheses by the variable outside the parentheses
Answer:
he distributed incorrectly. the correct answer is 12x + 40
Step-by-step explanation:
so you have to multiply 4×3x and 4×10
4×3x=12x
4×10=40
so 12x + 40
Which of the following is a way to find the value of −4 + (−6)?
theres no options to choose from, but in order to solve any equation like that, heres a tip!!
if youre adding a negative number, all youre really doing is subtracting a number. if you're subtracting a negative, you're just adding the number!!
let me know if you have any other questions!! hope this helps you!! <3
Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Rachel’s earnings after tutoring for 19 hours
Answer:
a. E = 50 H b. 950 dollars
Step-by-step explanation:
a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H
E = 50H.
b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.
So, E = 50H
E = 50 × 19
E = 950 dollars.
So, Rachel's earnings after 19 hours is 950 dollars.
the value of (-1)^500
Answer:
1!!!
Step-by-step explanation:
Which step can you use to solve the equation first -5+p=4?
Answer:
Step-by-step explanation:
You have to do the opposite of the firs t one. You are going to add 5 to the four to get
p = 9. There is your answer! Add on both sides!
Answer:
add 5 to both sides of the equal sign
Step-by-step explanation:
the answer will be p=9
Construct a line through R that is perpendicular to the line
Answer: just did it 3 secs. ago
Step-by-step explanation:
The answer is shown below.
Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.Therefore, the Construction of a line through R that is perpendicular to the line is shown below:
Know more about perpendicular lines here:
https://brainly.com/question/1202004
#SPJ2
Answers are 1.–70 2.–12 3.–74 4.–36
Answer:
3. -74
Step-by-step explanation:
[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]
Write an equation of the line. I need help plz
Convert the numbers to standard from 7.23x10^-10
Step-by-step explanation:
ok this is search from Google this is right or wrong
Question:
Convert the numbers to standard from 7.23 × 10^(-10)
Answer:
7.23 billionths or 0.000000000723
Explanation:
First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:
7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000
Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.
Hopefully this answer helps you.
The model was shaded two different ways to show a product
Which product is shown by the model?
A-1/3 x 1/5
B-1/3 x 2/5
C-2/3 x 1/5
D-2/3 x 2/5
Answer:
Step-by-step explanation:
You kinda need to show the model for people to answer the question-
3 Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by
the following sequence:
112, 162, 212, 262.....
Which statement is true?
A) The cost can be represented by the explicit formula
a = 112 + 50(n - 1).
B) The cost can be represented by the recursive formula
a = a,- 1 - 50
C) The cost can be represented by the explicit formula
an = 50 + 112(n - 1).
D) The cost can be represented by the recursive formula
ana-1 + 112
HELP!!!!
Step-by-step explanation:
D, because they didn't say 50 anywhere in the question that's what I think? i put D
Solve for indicated variable 4y + 3x= 5 for x
Answer:
4y + 15
Step-by-step explanation:
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answer:
I = $ 1,937.50
Step-by-step explanation:
A contractor bought 6.4 ft2 of sheet metal. He has used 2.1 ft2 so far and has $77.40 worth of
sheet metal remaining. The equation 6.4x - 2.1x = 77.4 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?
Answer:
$18
Step-by-step explanation:
Given:
6.4x - 2.1x = 77.4
Where,
x = cost of sheet metal per square foot
How much does sheet metal cost per square foot?
6.4x - 2.1x = 77.4
4.3x = 77.4
Divide both sides by 4.3
x = 77.4 / 4.3
= 18
x = $18
Sheet metal per square foot cost $18
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answer:
576.97
Squared
Is it possible to construct a triangle with the given side lengths?
2 m, 6 m, 9 m
yes or no
Step-by-step explanation:
yes aslong a one angele is 180*
Find the GCF of the terms of the polynomial.
35Z^4 - 70z3 + 14z2
Answer:
7z^2
Step-by-step explanation:
9.)Cici went shopping and spent a total of $45.28. She paid
with a $100 bill. How much change did she receive? Write an
expression and solve.
Answer:
Cici received $54.72 dollars in change
Step-by-step explanation:
$100 (what she payed with) - $45.28 (how much she spent) = $54.72 (how much she got back in change)
46. Hannah walks dogs for four different families. She charges each family the same
amount of money per hour. The numbers of hours she worked last week walking
dogs for each of the families are shown.
14 hours, 2 hours, 13 hours
, 3 hours
Hannah earned $93 for the hours she worked last week walking dogs.
• Calculate the amount of money Hannah earns per hour for walking dogs
• Write an equation that can be used to determine the amount of money, m, in
dollars, Hannah earns when she works h hours walking dogs.
• Show your work or explain your answer.
Answer:
Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9hStep-by-step explanation:
From the question,
Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.Hence, she worked for a total of (14 + 2 + 13 + 3) hours.
(14 + 2 + 13 + 3) hours = 32 hours
Hence, she worked for a total of 32 hours last week.
Also, she earned $93 for the hours she worked last weekTo calculate the amount of money Hannah earns per hour for walking dogs, that will be
$93 ÷ 32 hours = $2.9/hour
Hence, Hannah earns $2.9 per hour for walking dogs
For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,
If she works h hours for working dogs, then she will earn
$2.9 × h = $2.9h
Hence,
m = $2.9h
Where m is the amount of money Hannah earns in dollars
and h is the number of hours she spends walking dogs.