=========================================================
Explanation:
x = number of minutes
y = amount of grain left over, in cubic meters
We can abbreviate "cubic meters" into "m^3" without quotes of course.
The silo holds 2000 m^3 of grain. This is the initial value, so it is the y intercept. This means b = 2000. If the silo wasn't completely full, then we'd have to use a different initial value.
The slope is -9 because the amount of grain decreases by 9 cubic meters per minute. We can think of it like
slope = rise/run = (change in y)/(change in x)
slope = (change in grain)/(change in time)
Saying slope = -9/1 means the change in grain is -9 m^3 and the change in time is 1 minute.
Because the slope is -9, we say that m = -9
Therefore, we go from y = mx+b to y = -9x+2000
-------------------
Note how plugging x = 0 into the equation leads to
y = -9x+2000
y = -9*0+2000
y = 0 + 2000
y = 2000
Showing that after 0 minutes, aka at the start, we have 2000 m^3 of grain.
Then at the x = 1 minute mark, we have...
y = -9x+2000
y = -9*1+2000
y = -9+2000
y = 1991
Showing that the silo lost 9 m^3 of grain since 2000-1991 = 9.
The graph y = -9x+2000 is a straight line that goes through the two points (0,2000) and (1,1991).
Find the area of the
regular figure below:
A) 160.5 km2
B) 166.2 km2
C) 173.8 km2
D) 182.4 km2
E) 189.1 km2
explain pls
Answer:
Option C : 173.8 km² is the correct answer.
Step-by-step explanation:
Given that:
Side length = 6 kilometers
A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.
Area of octagon is given by;
Area = [tex]2(1+\sqrt{2})a^2[/tex]
Putting a=6
Area = [tex]2(1+\sqrt{2})(6)^2[/tex]
Area = [tex](2+2\sqrt{2})(36)[/tex]
Area = 173.82
Rounding off to one decimal place
Area = 173.8 km²
Hence,
Option C : 173.8 km² is the correct answer.
use natural logarithms to solve the equation. round to the nearest thousandth. show work!! 5e^(2x+11) =30
Answer:
x = -4.604
Step-by-step explanation:
Here, we want to get the value of x
We start by dividing through by 5
e^(2x + 11) = 30/5
e^(2x + 11) = 6
Writing this in natural logarithm form, we have;
ln 6 = 2x + 11
2x + 11 = 1.792
2x = 1.792-11
2x = -9.208
x = -9.208/2
x = -4.604
The value of x from the given equation is
x=-4.604
Given :
[tex]5e^{2x+11} =30[/tex]
To solve for x , we need to get exponent 'e' alone
First we divide both sides by 5
[tex]e^{2x+11} =6[/tex]
Now we write the given exponent in logarithmic form
Lets take ln on both sides
[tex]lne^{2x+11} =ln6\\(2x+11)lne=ln(6)\\[/tex]
The value of ln(e) is 1
[tex](2x+11)=ln(6)\\2x+11=ln(6)\\subtract \; 11 \; on \; both \; sides\\2x=ln(6)-11\\Divide \; both \; sides \; by \; 2\\x=\frac{ln(6)-11}{2} \\x=-4.60412[/tex]
The value of x from the given equation is
x=-4.604
Learn more : brainly.com/question/185913
Jimmy determines that he needs to sell more than $250 worth of fruit at his produce stand in order to make a profit. Which inequality represents the fruit sales, s, in dollars, for which Jimmy will make a profit?
Answer:
The inequality that represents the fruit sales is [tex]s > 250[/tex].
Step-by-step explanation:
Let [tex]s[/tex] the fruits sales of Jimmy, measured in dollars. Given that he needs to selle more than $ 250 of fruit at his produce stands in order to make the profit, he needs to satisfy the following inequation or inequality:
[tex]s > 250[/tex]
A student earns a grade of 80% on a math test with 20 questions how many questions did the student get correct. ( round to the nearest whole number)
Answer:
he or she got 18 right
Step-by-step explanation:
each question is worth 1 point .
if they where worth 10 each
making the answer 80%
please help me it’s a picture
Answer:
1,2,4, and the last one
Step-by-step explanation:
That's my final answer
I need help with this
The orders are 1 stay the same. 2 change to 4, 3 change to 2, 4 change to 3, and 5 stays the same.
Multiple: 1/ 8 & 2/ 4 = 1 · 2/ 8 · 4 = 2/ 32 = 1 · 2/ 16 · 2 = 1/ 16 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator (lowest=2). In the next intermediate step , cancel by a common factor of 2 gives 1/ 16 . In words - one eighth multiplied by two quarters = one sixteenth.
Final result: 1/16
determine if parallel y = X X + y = -2
Answer: they are not
Step-by-step explanation:
y=x has a slope of 1 because the m value is 1.
x+y=-2 has a slope of -1 because when we subtract x from both sides, we get that y=-x-2 and the m value is -1
What the answers plz plz
Step-by-step explanation:
a. 73-24+24=73
b. 59+35-35=59
c. k+m-m=k
Destiny has $ 42 left on her checking account. If she writes a check for $ 59, what will Destiny's balance be?
Answer:
$-17
Step-by-step explanation:
Answer:
im pretty sure the other person got it correct
What is thе a value? *
у= 2х – 15)? + 3
а
2
o15
о
З
o-15
Answer:
i dont know
Step-by-step explanation:
Can someone help me put I’m lost?
2 Fifth grade scholars voted on where they would like to go on their next field trip. Of all the scholars who voted, 1 10voted for the Natural History Museum, 5 8voted for the Planetarium, and the rest voted for the Botanical Garden. If a total of 80 scholars voted, how many scholars voted for the Botanical Garden?
Answer:
NHM: 80/10 = 8, 8 X 1 = 8
P: 80/8 = 10, 10 X 5 = 50
BG: 80 - 50 - 8 = 22
botanical gardens 22
What is the approximate area of
the circle? Use 3.14 for T.
25 in.
A. 78 square inches
B. 157 square inches
C. 491 square inches
D. 1,963 square inches
Answer:
D. 1,963 square inches
Step-by-step explanation:
Using the formula of the area of the circle A= [tex]\pi[/tex][tex]r^{2}[/tex] and assuming that the radius is 25 inches.
Then,
A = [tex]\pi[/tex](25 inches)^2
A = (3.14)(25inches)^2
A = 1,963 square inches
However, you did not state that r = 25 inches, so this might not be correct, but good luck and I hope this helps a little!
The exterior angles of a quadrilateral have measures of 72 degrees, 58degrees, 2x degrees, and 3x degrees. Find the value of x.
Answer: x = 46
Step-by-step explanation: The theorem is:
The sum of all exterior angles of a polygon is 360
Here, our polygon is a "quadrilateral" -- 4 sided figure
We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:
The value of x is 46
Answer: Answer: x = 46
Step-by-step explanation: The theorem is:
The sum of all exterior angles of a polygon is 360
Here, our polygon is a "quadrilateral" -- 4 sided figure
We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:
The value of x is 46
Step-by-step explanation:
After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days.
Complete question is;
After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days. Using this as a reasonably accurate measure, find the probability that the green parrot will gross over $2200:
A. At least 5 of the next 7 business days.
B. at least 5 of the next 10 business days.
C. less than 3 of the next 5 business days.
d. Exactly 7 of the next 10 business days
e. At least 1 of the next 5 business days.
Answer:
A) P(X ≥ 5) = 0.9262
B) P(X ≥ 5) = 0.9986
C) P(X ≤ 2) = 0.0266
D) P(X = 7) = 0.1298
E) P(X ≥ 1) = 0.9999
Step-by-step explanation:
This is a binomial probability distribution problem and as such we will use the formula;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
A. At least 5 of the next 7 business days will be;
P (X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7)
P(X = 5) = C(7, 5) × 0.85^(5) × (1 - 0.85)^(7 - 5)
P(X = 5) = 0.20965
P(X = 6) = C(7, 6) × 0.85^(6) × (1 - 0.85)^(7 - 6)
P(X = 6) = 0.396
P(X = 7) = C(7, 7) × 0.85^(7) × (1 - 0.85)^(7 - 7)
P(X = 7) = 0.320577
Thus;
P(X ≥ 5) = 0.20965 + 0.396 + 0.320577
P(X ≥ 5) = 0.9262
B. Probability of at least 5 of the next 10 business days will be;
P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
From online binomial calculator attached, we can see that the answer is;
P(X ≥ 5) = 0.9986
C. Probability of less than 3 of the next 5 business days will be;
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
From online binomial calculator attached, we can see that the answer is;
P(X ≤ 2) = 0.0266
D. Probability of exactly 7 of the next 10 business days will be;
P(X = 7) = C(10, 7) × 0.85^(7) × (1 - 0.85)^(10 - 7)
P(X = 7) = 0.1298
e. Probability of at least 1 of the next 5 business days will be;
P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
From third image attached using online binomial calculator, we have;
P(X ≥ 1) = 0.9999
please help me answer this
Answer:
10.77
Step-by-step explanation:
by using Pythagoras theorem we can find the distance between the points,
so...
distance between the points, which is the hypotenuse will be xy
difference between the y coordinates will be dy
difference between the x coordinates will be dx
according to pythagoras theorem,
[tex]xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77[/tex]
Umm what do I do here?
Answer:
X is equal to 1.2
Step-by-step explanation:
6/5 equals 1.2
i don't have to sound rude but can i have brainliest please i need 4 more :')
what is the answer help!!
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
What is the algebra steps to solve -16 + 3y = -10 ?
Answer:
-16+3y=-10
subtract -10 from both sides
-6+3y=0
divide by 3
-2+y =0
y=2
A board is 48 in long. It must be divided into 4 pieces of equal length, and each cut will cause a waste of 3/16 in. How long will each piece be after the cuts are made?
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
What is the classification of the given polynomial (x + y)(a + b2)?
A.binomial
B.trinomial
C.multinomial
D.monomial
Answer: C
Step-by-step explanation: there are 4 different variables (x, y, a, and b)
A number pattern starts with 10 and follows the rule multiply by 3 what is true about all of the number in the pattern
Answer:
Each answer multiplied by 10 that lead to the ultimate answer for 10 x 3 will be even.
Step-by-step explanation:
10×1= 10
10×2= 20
10×3= 30
f the simple interest on $4000 for 6 years is $1440, then what is the interest rate?
Answer:
Step-by-step explanation:
[tex]rate=\frac{interest \times 100}{principle \times time } \\=\frac{1440 \times 100}{4000 \times 6 } \\=6 \%[/tex]
Plz help I’m confused^
Answer:
a) missing exponent is 8
b) missing exponent is -5
c) missing exponent is 15
d) missing exponent is 6
Step-by-step explanation:
for 'a' and 'b' you have to ADD the exponents
for 'c' you have to SUBTRACT the exponents
for 'd' you have to MULT the exponents
let 'n' = missing exponent
a) -5 + n = 3
n = 8
b) 3 + n = -2
n = -5
c) n - 6 = 9
n = 15
d) 5n = 30
n = 6
Josette found 16 coins in her purse. She had 2 more nickels than pennies and 7 fewer quarters than pennies. Josette modeled the scenario in a table and then wrote the equation p + (p + 2) + (7 – p) = 16.
A 2-column table with 3 rows. Column 1 has entries pennies, nickels, quarters. Column 2 has entries p, p + 2, blank.
Is Josette’s equation correct? If not, what was her mistake.
Answer:
The number of quarters was translated incorrectly and should be p – 7.
Answer:
D. The number of quarters was translated incorrectly and should be p – 7.
I'm taking the assignment and I got it right just now
Step-by-step explanation:
find the slope
(x, -4) and (2, 8); m = -3
Answer:
x=6
slope (m) = -3
Step-by-step explanation:
if you can pleaseeeeee give me the algorithm of -7-12 i will markkkkk BRAINLIESTTTTTTTTT :) HELPPPPPPP
Answer:
84
Step-by-step explanation:
Minus 7 times minus 12 equals io 84 as the minus cancels out when u multiply by 2 minus because a minus and a minus equals to a positive
The table shows the number of cell phone towers a company will build as the number of its customers increases. Complete a and b below.
Cell Phone Towers
Customers (thousands)
Towers
3.25
169
4.25
221
5.25
273
7.25
377
a. Is the relationship between number of towers and number of customers proportional? Explain. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A.
Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of nothing.
B.
No. The ratios of towers to customers are not all equivalent.
Answer:
A.
Step-by-step explanation:
Divide 169 by 3.25 and you get 52.
Divide 221 by 4.25 and you get 52.
Do this for all of the rest, and they will all be 52.
Hope this helps!
Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of nothing. Therefore, option A is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
The given table is
Cell Phone Towers Customers (thousands) Towers
3.25 169
4.25 221
5.25 273
7.25 377
Here, the ratio of Cell Phone Towers : Customers (thousands) Towers
3.25 : 169
= 325/16900
= (325÷325)/(16900÷325)
= 1/52
4.25 : 221
= 425/22100
= 1/52
5.25 : 273
= 525/27300
= 1/52
7.25 : 377
= 725/37700
= 1/52
Therefore, the ratio of given cell phone towers to customers (thousands) towers are equivalent.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ5
identify the y-intercept from the following graph
Answer:
the y-intercept is -1 bc that is where it meets (0,-1)
Step-by-step explanation:
what is the distance between the points?! round to the nearest tenth i need to show work
Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
