Answer:
Step-by-step explanation:
The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.
Paco buys a total of 15 pencils and markers for $ 11.15. Each pencil costs $ 0.30. Each marker costs $ 1.25
Answer: Paco bought 7 markers and 8 pencils.
Step-by-step explanation:
Let's define the variables:
P = number of pencils that Paco bought
M = number of markers that Paco bought.
We know that P + M = 15.
We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15
Then:
P*$0.30 + M*$1.25 = $11.15
Then we have the system of equations:
P + M = 15
P*$0.30 + M*$1.25 = $11.15
To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.
P = 15 - M
Now we can replace this in the second equation to get:
(15 - M)*$0.30 + M*$1.25 = $11.15
$4.50 - M*$0.30 + M*$1.25 = $11.15
$4.50 + M*$0.95 = $11.15
M*$0.95 = $11.15 - $4.50 = $6.65
M = $6.65/$0.95 = 7
Then paco bough 7 markers, and we can find the number of pencisl by the equation:
P + M = 15
P = 15 - M = 15 - 7 = 8
Then Paco bought 7 markers and 8 pencils.
Multiply. 25.5 × 5.46
Answer:
139.23
Step-by-step explanation:
Answer:
The answer is ... 139.23
Step-by-step explanation:
use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?
Answer:
good
Step-by-step explanation:
calculate it on alculator
The mean height of women in a country (ages 20 - 29) is 64.3 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.81. The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All All parts showing e
Answer: 0.4016
Step-by-step explanation:
Let x be a random variable that represents the height of women in a country.
Mean : [tex]\mu=64.3[/tex] inches
Sample size : n= 65
Standard deviation: [tex]\sigma=2.81[/tex]
The probability that the mean height for the sample is greater than 65 inches = [tex]P(x>65)=1-P(x<65)[/tex]
[tex]=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016[/tex]
Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016
Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi
Answer:
P(x=4) = 0.4
Step-by-step explanation:
The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.
f(x)= 1/ b-a a≤ x≤ b
Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes
P (X=x) = (x-a) 1/(b-a)
P(x=4) = (4-0) 1/ 10-0
= 4/10= 0.4
What number does E represent
Answer: 6
Step-by-step explanation: i hope this helps Brainliest please
The graph of an ellipse is shown. Which equation represents this ellipse?
A. (x-2)^2/6^2 + (y-4)^2/3^2 =1
B. (x-2)^2/12^2 + (y-4)^2/6^2 =1
C. (y-4)^2/6^2 + (x-2)^2/3^2 =1
D. (y-4)^2/12^2 + (x-2)^2/6^2 =1
Answer:
d
D IS THE ANSWER!! JUST TOOK TEST
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Ed2021
How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please
========================================================
Explanation:
Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.
Similarly, AD = DC = 60 ft.
The total length traveled is:
AB+BC+CD = 70+70+60 = 200 ft
We never use BD = 50 at all.
Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.
You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.
A recipe for fruit punch requires 5 cups of pineapple juice and 8 cups of ginger ale. Find the amounts of pineapple juice and ginger ale that must be used to produce different amounts of this punch.
Answer:
answer below
Step-by-step explanation:
simply multiply by different numbers so...
5/8 x 2 = 10/16
5/8 x 3 = 15/24
and so on; as long as it can reduce to 5/8, it works!
what is y= -5/4x+6 on a graph
I tried mathaway but it's not helping
Answer:
6.oz and all other things are going on
Step-by-step explanation:
its been a few weeks and I've just got back to
Last month a car dealership sold 80 cats. Of all cars sold 15% of them were red how many cars that were sold were red
•12
•14
•65
•68
Answer:
12
Step-by-step explanation:
Multiply 80 by .15
it is 12............ :))
HELP PLEASEEEEEEEEEEEEEEE ITS A GRADE
Answer:
1. b
2. d
3. a
4. A
Step-by-step explanation:
Answer: ITs A
Step-by-step explanation:
Because they are all real numbers and the other options are incorrect
Please help me with this question ASP
Answer:
5/6 pounds
Step-by-step explanation:
2 1/2=5/2. 1/3 of 5/2=1/3•5/2. 1/3•5/2=5/6.
Answer:
5/3
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] 5/2 = 15/615/6 × 1/3 = 15/1815/18 = 5/615/6 - 5/6 = 10/610/6 = 5/3I hope this helps!
What is the domain of this relation?
2000x5000000000000000000000000000
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
I need help quick please
Answer:
C.
Step-by-step explanation:
32+8=40
8(4+1)
4+1=5
8*5=40
hope this helps :3
if it did pls mark brainliest
Point V is on line segment \overline{UW}
UW
. Given VW=5x-4,VW=5x−4, UV=2x,UV=2x, and UW=5x,UW=5x, determine the numerical length of \overline{VW}.
VW
.
Answer:
Vw=6
Step-by-step explanation:
The numerical length of VW is 16 units.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
For example 12 -2 = 10
Given VW = 5x-4,
VW = 5x−4,
UV = 2x, and
UW = 5x,
By segment addition postulate: UV + VW = UW
Substituting expressions given for each:
⇒ 2x + 5x − 4 = 5x
⇒ 2x = 4
⇒ x = 4
So, VW = 5(4) - 4
VW = 20 - 4
VW = 16
Hence, the numerical length of VW is 16 units.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
F = xi+yj+2zk and σ is the portion of the cone z=x2+y2−−−−−−√ between the planes z=4 and z=5 oriented with normal vectors pointing upwards. Find the flux of the flow field F across σ
A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?
Answer:
3 teaspoons
Step-by-step explanation:
Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.
2 + 2 + 2 = 6
We would need an additional teaspoon of salt for each of the sets of two.
Identify the rate of change
Answer:
The rate of change is -2
Step-by-step explanation:
I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest
Any help please I appreciate it
Answer:
VW = 23
Step-by-step explanation:
Since VU is 31 and part of it (WU) is 8, the remaining (VW) would be 31-8 = 23.
Answer:
23
Step-by-step explanation:
vw= vu-wu
vw=31-8
vw=23
20 if u get it right
Step-by-step explanation:
hey there....I only knew the last question
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
PLEASE HELP I AM STRUGGLING
Answer:
y=-2x+2
Step-by-step explanation:
the slope intercept form is y=mx+b
slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be
(14-2)/(-6-0). which out simplify to -2.
y-intercept - the y-intercept is given in one of the points (0,2).
Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years
Answer:
After 25 years, Cooper will have $29,093.01 in his savings account.
Step-by-step explanation:
While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:
X = 20,000 (1 + 0.015 / 12) 25x12
X = 29,093.01
Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.
Help me plz. I’ll give good points.
Answer:
A is the answer because the -T is right at 0
Find the slope of the line through (2, -3) and (5, -3)
Answer:
0
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -3)/ ( 5-2)
= ( -3+3)/(5-2)
= 0/3
=0
y = 3x - 2. What is the slope?
Answer:the slope is 3
Source: trust me bro
find the slope of the line please help!
Answer:
the slope is 2/3
Answer:
Step-by-step explanation: First you determine if the slope if positive (increasing) or negative (decreasing). Second you use two points on the line, calculate the rise and the run and express it as a fraction (rise over run). Rise is the change in the y-value and Run is the change in the x-value.