The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The air quality index (AQI) is given by the function.
[tex]\rm n = 1.76t^2-13.32 +41[/tex]
Where n be the number of days the AQI exceeds 100 in a given year.
For [tex]\rm t = -2[/tex], then we have
[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region
Answer:
Step-by-step explanation:
(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x
(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6
(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =
( 20x² - 2x² ) + ( 22x - x ) + 6 =
18x² + 21x + 6
using rounding to the nearest 10 which number is best estimate of 432 - 169
Emma buys a game for $26.84 she gives the clerk $30.00. List Emma’s change using the least amount of dollar bills and coins
Answer:
4 dollars, a dime, a nickel, and a penny
Answer:
4 dollars
1 dime
1 nickel
1 penny
Step-by-step explanation:
Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.
Answer:
kate will have more money
Step-by-step explanation:
cuz Kate have 25$ × 6 weeks = 150$
in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$
Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles
Answer:
The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts.
1/3 of the caramel apples are covered with chocolate chips.
3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.
The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:
Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.
Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.
Step 3 - So, the value of 'n' is calculated as:
Step 4 - Simplify the above equation.
120 = 24 + 40 + 36 + n
n = 20
For more information, refer to the link given below:
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Answer:
There are 20 caramel apples that are covered with sprinkles.
Step-by-step explanation:
First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.
so, there are 20 caramel apples that are covered with sprinkles.
{hope I helped you.]
I need help with this
Conclusion
And discussion
It’s a science assignments
Answer:
Step-by-step explanation:
more hcl = less time.
error in table drawing or values not precise. more explanation needed in pic.
yes. more hcl = less time.
if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
Find the measure of angle 4
689
44
68
90
136
Answer:
90 degrees
Step-by-step explanation:
It is a right angle
If the diameter is 11, then what's the radius?
X^2 =11+2 sqrt30 find value of X
Answer:
If the question goes like this : x²=11+2
then the value of x will be √13
Step-by-step explanation:
x²=11+2
x²=13
x=√13 ans…
Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent
total price : amount = individual price
6.57:5=1.31
he roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
What is the slant height of the roof?
==========================================================
Explanation:
The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.
We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.
We'll use the pythagorean theorem to find the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]
It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.
124 7/8 drained in 25 mins how much is drained each min
Convert 124 7/8 to 999/8
In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *
area 80 cm
longuitud 89. 44cm
215. 04 cm
295. 04 cm
304. 48 cm
384. 48 cm
La manguera que necesita Martín para rodear el helado es de 304,48m
Cómo calcular la longitud de la manguera que necesita Martín?Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:
Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 mDe acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.
Aprenda más sobre longitud en: https://brainly.com/question/25986613
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Alex is putting 7 pounds of strawberries in containers. Each container holds 1/3 of a pound. How many containers will he use?
5th grade question
Please answer as soon as u see
Answer:
21
Step-by-step explanation:
7 x 3 is 21 you carry the 21 down 21/3=7
There you go!
An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1
Answer:
Option A
Step-by-step explanation:
Step 1: Solve the equation
[tex]2x + 5 \geq 15[/tex]
[tex]2x + 5 - 5 \geq 15 - 5[/tex]
[tex]2x \geq 10[/tex]
[tex]2x / 2 \geq 10/2[/tex]
[tex]x \geq 5[/tex]
Step 2: What model represents the equation
Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.
Answer: Option A
First, subtract 5 on both sides
2x≥15-5
2x≥10
Now divide by 2 on both sides
x≥5
The correct option is Option Ahope helpful ~
Please help!!! i'll give brainliest and offering 20 pts each!!!
write each trinomial in the form a(x+b)^2 or a(x-b)^2
please answer all questions correctly! please no spam :-(
5x^2 + 15x + 11.25
10x^2 +20x +10
1/4x^2 + x + 1
3x^2 + 5x + 25/12
explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation
Answer:
5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
Additional comment
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
I need this answered please
Answer:
domain: ( 3,6,6)
range : (b,a,d)
hey guys, i need help with this ill give you brainlist :)
Answer: C. 2 3/4 yards.
Hope this helps! :)
Please mark me brainliest.
Answer:
2 3/4
Step-by-step explanation:
Longest - shortest =
4 1/2 - 1 3/4 = 2 3/4
HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?
A)Segment J K is congruent to Segment A B
B)Segment J K is congruent to Segment K L
C)Segment J L is congruent to Segment B A
D)Segment J L is congruent to Segment B C
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Answer:
c
Step-by-step explanation:
simplify l(m-n) + m (n-l) + n (m-l)
Step-by-step explanation:
Multiplying :-l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nlSolve the like terms :-lm - ml - ln - nl + mn + nm2mn - 2nlTake common :-2n(m - l)...simplified Hope it helps you !!Answer:
-2ln + 2mn
Step-by-step explanation:
Simplify l(m-n) + m(n-l) + n(m-l)
Step 1 : Distribute and multiply
l(m-n) + m(n-l) + n(m-l)
l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)
lm - ln + mn - lm + mn - ln
Step 2: Combine like terms
lm - ln + mn - lm + mn - ln
lm - lm - ln - ln + mn + mn
0 -2ln + 2mn
Solution:
-2ln + 2mn
Hope this helps!
#9 what is the answer
The triangles ABC and EDC have corresponding sides
The triangles ABC and EDC are similar
How to prove that the triangles ABC and EDC are similar?The given parameters are:
ED = 8, DC = 10, EC = 12, AB = 12
BC = 15 and AC = 21
To determine that the triangles are similar, we simply divide the corresponding sides to determine the scale factor (k).
So, have:
k = AB/ED = BC/DC
This gives
k = 12/8 = 15/10
Evaluate the quotients
k = 1.5 = 1.5
The scale factors are equal
Hence, the triangles ABC and EDC are similar
Readmore about similar triangles at:
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I don't get this one?
Answer:
4000
Step-by-step explanation:
V=4/3(3)(10)^3
V= 4/3 (3)(1000)
V=4/3 (3000)
V=4000
Max has a square piece of cloth. He cuts it in half from one corner to the opposite corner. How many sides does each of the cut pieces have?
Answer:
Step-by-step explanation:
You have a cloth:
____________
| |
| |
|___________|
and you cut it in half.
There are three sides
Answer:
Step-by-step explanation:
The cut pieces will each have three sides: two that are equal and one that is the hypotenuse.
If the original square had sides of length s, then the cut pieces would each have two of that length: s and s; the third side would have length h = √(s² + s²), or h = s√2.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers:
Mode = 6
Range = 7
====================================================
Explanation:
The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.
Therefore, 6 is the mode. It shows up four times which is the most of any other value.
-------
The range is the difference of the min and max
range = max - min = 8 - 1 = 7
what are the guidlines
Answer:
A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice.
Write the phrase as an expression.
18 added to a number n
Answer:
n + 18
Step-by-step explanation:
n + 18
A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?
Answer:
2.5
Step-by-step explanation:
40 divided by 16 is 2.5
The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?
Answer:
new width=9.375 in
new scale= 1 foot= 0.4 inches
Step-by-step explanation:
Firstly to find the width we can set up a proportion:
[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.
To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,
[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]
After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,
15/37.5= 0.4
I tried my best loooool