A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Convert the equation to vertex form.
y = x2 – 8x + 10
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
is every relation a function?
ILL MARK AS BRAINLEST
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A.
2(x + 3) = 25
B.
2(3) + 25 = x
C.
2x + 3 = 25
D.
x + 2(3) = 25
Answer:
im pretty sure the answer is c
Suppose that You had launch the message 6.75 feet west from the edge of the ravine Instead of 5 feet west from the edge of the ravine would the message make it across the ravine show your work and explain your answer
Answer:
6.75 times 5 would be 17.1
Step-by-step explanation:
8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms
Answer:
wag na baka imyday mo pa
Step-by-step explanation:
hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha
The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?
Answer:
f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2
(the > has a line under it)
Step-by-step explanation:
Answer:
f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2
Step-by-step explanation:
The other person left some numbers out.
-4-2-2) - 2x + 5 = 31
Answer:
2x+5=31 is the most common correct answer
The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
1a) solve the equation
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
What is the product?
(X^4)(3x-2)(4x2 +5x)?
Answer:
12x^7+7x^6-10x^5
Step-by-step explanation:
(X^4)(12x³+15x²-8x²-10x)
(X^4)(12x³+7x²-10x)
12x^7+7x^6-10x^5
go through my questions there a surprise:)
Answer:
I will do that buddy. I'll have fun
help mee please and thanks
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.
Answer:
x= -1/5y + 2/5
not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)
What is the perimeter of the rectangle given below?
Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answer:
She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
[tex]C = 2\pi r[/tex]
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
[tex]C = \pi d[/tex]
Since the circunference is 50.24 inches, the diameter will be of:
[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]
PLZ HELP PLZ HELP
SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG
Length of student desk
Height of classrom'
Width of classroom door
Height of building
Length of a movie ticket
Answer:
c
Step-by-step explanation:
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
2/5× = ?
I don't understand how to answer this
Answer:
10
Step-by-step explanation:
2x5 is basically 1x5= 5x2=10
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
Determine the graph that represents a function.
SOLVEEEEEE XXXXXXXxx
Answer:
25 degrees
Step-by-step explanation:
The total angle sum of a triangle is 180 degrees
since the two sides are equal...
(x) + (x) + (4x + 30) = 6x + 30 = 180
==> x = 25 degrees
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.
Answer:
[tex]804.3m^2[/tex]
[tex]\pi *16^2=804.24772[/tex]
John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?
Answer:
John sells candy at the lowest price.
Step-by-step explanation:
If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
pls solve ii need it
Answer:
multiply each decimal
Step-by-step explanation:
Answer:
1.144
Step-by-step explanation:
multiply 1.1x0.8x1.3
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
10 POINTS! PLZ ANSWER!
Where do planes ABC and BFG intersect?
See
In plane ABC or ABCD and plane BFGC or BFG. the common side is
line BCSo both the planes intersect at line BC
Option B