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.
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Ellie just accepted a job at a new company where she will make an annual salary of $62000. Ellie was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Ellie make as a salary after 6 years working for the company? What would be her salary after t years? Salary after 6 years: Salary after t years: t
Answer:
The answer is 86000
Step-by-step explanation:
This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.
(Solve For Theta) Please Can I Get Some Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
is Clown Pierce the best Mine.Craft Player
Answer:
I think is B: 40.
help me please i need help with all other 5 questions
Answer:
[tex] {6}^{3 } [/tex]
Step-by-step explanation:
[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]
A dog is on the ground watching a cat on a 6-foot-
high wall. The angle of elevation from the dog to the
cat is 50º. About how far from the wall is the dog?
Answer:
5.0344
Step-by-step explanation:
tan=opposite
adjacent
Since you're trying to find the adjacent side to the angle 50, use tan.
So tan 50º= 6/x
Swap x and tan 50º , which puts tan 50º under the 6.
Use your calculator to find the approximate value of tan 50º (rounded to 4 decimals)
Then divide!
Solve for j show work
8j-5+j=67
the answer is 8
8j-5+j=67
8J +j
9J-5=67
+5 +5
9J=72
/9 /9
j=8
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]
[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Solve this pls 7x-10-x=2x+26
Answer:
[tex]7x - 10 - x = 2x + 26[/tex]Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .
[tex]⇢7x - x - 2x = 26 + 10[/tex][tex]⇢6x - 2x = 36[/tex][tex]⇢4x = 36[/tex][tex]⇢x = \frac{36}{4} [/tex][tex]⇢ \boxed{x = 9}[/tex]
Answer:
x = 9
Step-by-step explanation:
#1) Simplify each side.
7x - 10 - x = 2x + 266x - 10 = 2x + 26#2) Bring x terms to the left side and numbers to the other side.
6x - 2x = 26 + 104x = 36#3) Divide both sides by 4.
4x/4 = 36/4x = 9A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer: 47/90
Step-by-step explanation:
3/10+2/9=47/90 somehow ig
find the x and y intercepts of the linear equation 2x - 4y = -20
Answer:
see explanation↓
Step-by-step explanation:
We are given the following equation of a line:
[tex]2x-4y=-20[/tex]
To determine the x-intercept we must set "y = 0":
[tex]2x-4(0)=-20[/tex]
[tex]2x=-20[/tex]
Now, we divide both sides by 2:
[tex]x=-\frac{20}{2}=-10[/tex]
Therefore, the "x" intercept is -10.
To determine the y-intercept we set "x = 0":
[tex]2(0)-4y=-20[/tex]
[tex]-4y=-20[/tex]
Now, we divide both sides by -4:
[tex]y=\frac{-20}{-4}=5[/tex]
Therefore the y-intercept is 5.
Choose the correct problem for the fraction 12/13
A. 13 ÷ 12
B. 12 ÷ 13
C. 12 x 13
D. 12 ÷ 10
Answer:
B. 12 ÷ 13
Explanation:
13 ÷ 12 = 13/1212 ÷ 13 = 12/13 12 x 13 = 156 12 ÷ 10 = 12/10 = 6/5Graphing f(x)=(x+2)^2-3 in vertex form
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
Question 9
Which of the following problems would NOT have a solution?
o Eight pizzas are shared equally among four people, and you want to know how
much each person gets.
o Four pizzas are shared equally among three people, and you want to know how
much each person gets.
o Zero pizzas are shared equally among four people, and you want to know how
much each person gets.
o Three pizzas are shared equally among zero people, and you want to know how
much each person gets.
Answer:
(d) Three pizzas are shared equally among zero people, and you want to know how much each person gets.
Step-by-step explanation:
You want to know which pizza sharing problem has no solution for the amount each person gets:
8 pizzas, 4 people4 pizzas, 3 people0 pizzas, 4 people3 pizzas, 0 peoplePizza per personThe amount of pizza each person gets is found by dividing the number of pizzas by the number of people:
8 pizzas/(4 people) = 2 pizzas per person4 pizzas/(3 people) = 4/3 pizza per person0 pizzas/(4 people) = 0 pizzas per person3 pizzas/(0 people) = undefined — no solutionThe problem of dividing 3 pizzas among 0 people has no solution.
<95141404393>
The expression (2x - 1) (x + 3) - (x + 1) (2x - 3) simplify
[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]
PLEASE SOLVE!! WILL MARK BRAINLIEST!
Answer:
65
Step-by-step explanation:
Height of 10th grade boys is normally distributed with a mean of 63. 5 in, and a standard deviation
of 2. 9 in.
The area greater than the z-score is the probability that a randomly selected 14-year old boy
exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in. ?
Use your standard normal table.
Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].
The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 63.5}{2.9}[/tex]
Z = 2.24
Z = 2.24 has a p-value of 0.9875.
1 - 0.9875 = 0.0125.
0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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100 POINTS!!!!!!!! WILL GIVE BRAINLIEST ASAP!!!!!!!!!
How can x2 = 2x + 4 be set up as a system of equations? (1 point) y = x2 − 2x + 4 y = x2 + 2x + 4 y = x2 y = x2 + 2x + 4 y = x2 + 2x y = x2 + 4 y = x2 y = 2x + 4
Answer:
x=3 and y=4
Step-by-step explanation:
x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute4foryinx=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4
A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?
Answer:
A. 840 miles
B. 14 miles per gallon
Step-by-step explanation:
A. 14 mi. per gal. x 60 = 840 miles
B. 350 mi./25 gal. = 14 miles per gallon
hope this helps :)
1. The truck can travel 840 miles on 60 gallons of gas.
2. The truck's gas mileage is 14 miles per gallon.
What is Proportion?Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.
a) We have, 25 gallons of gas corresponds to 350 miles.
Let's set up the proportion:
25/350 = 60/x
25x = 350 (60)
25x = 21,000
x = 21,000 / 25
x = 840
Therefore, the truck can travel 840 miles on 60 gallons of gas.
b) The truck can travel 350 miles on 25 gallons of gas.
Gas mileage = Distance / Gas consumed
Gas mileage = 350 miles / 25 gallons
Gas mileage = 14 miles per gallon
Therefore, the truck's gas mileage is 14 miles per gallon.
Learn more about Proportion here:
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What is the value of x? Enter your answer in the box.
x =
Answer: 12
Step-by-step explanation:
A straight line has a measurement of 180° so these two angles added together will equal 180°.
(10x - 20)° + (6x + 8)° = 180°
10x° + 6x° + 8° - 20° = 180°
16x° -12° = 180°
16x° = 192°
x = 12
Supplementary angles
10x-20+6x+8=18016x-12=18016x=180+1216x=192x=192/16x=12VA Tech offers four applied majors and monitors the number of students in each.
There were 36 students in applied majors. How many more of them were in electronics than in architecture?
Type only the numeric answer.
Answer:
3Step-by-step explanation:
Number of students in electronics, 1/4 of the total
36*1/4 = 9Number of students in architecture, 1/6 of the total
36*1/6 = 6The difference is
9 - 6 = 3The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
x > -2.
Step-by-step explanation:
Starts at x = -2 then carries on without bounds.
Answer:
x > –2
Step-by-step explanation:
The answer above is correct.
What number is one thousand less than one million?
Answer:
999,000
Step-by-step explanation:
We need to find the number that is one thousand (1,000) less than one million (1,000,000).
less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000Answer:
999000
Step-by-step explanation:
1 million - 1000 or 1 million less is 100,000
What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y
Help I’m literally confused on these
Perpendicular Bisector Theorem
Answer:
UV = 10
Step-by-step explanation:
VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is
UV = VW = 10
Find the area of the shape shown below.
Answer:
12 cm²
Step-by-step explanation:
Area of triangle: bh/2 = (2)(3)/2 = 3
Area of square: bh = (2)(3) = 6
Total area of the shape = 2 triangles + 1 square
Total area = 2(3) + 6 = 12 cm²
I hope this helps!
Answer:
12
Step-by-step explanation:
You can find the area of the shape 2 different ways.
I'll show you both ways.
First Way: find the area of each individual shape that makes it up then add them together
We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together
Area of a rectangle = length × width
Length = 3 and width = 2
So area = 3 × 2 = 6
Now to find the area of the triangles
Area of a triangle = 1/2bh
Where b = base length and h = height
The base length is 2 and the height is 3
So area = 1/2 × 2 × 3 = 3
There are two triangles and they both have the same dimensions
So the area of both triangles = 2 × 3 = 6
Finally we add the areas together to get the total area
Total Area = 6 + 6 = 12cm²
Second way : Use the area of a trapezoid formula:
The shape shown is a trapezoid so we could also use the area of a trapezoid formula.
Formula : [tex]A=\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The base lengths appear to be 2 and 6 and the height is 3
So a = 2 , b = 6 and h = 3
Which means [tex]A=\frac{2+6}{2} 3[/tex]
Simplify addition
[tex]A=\frac{8}{2} 3[/tex]
simplify division
A = (4)3
Then multiply
A = 12cm²
What is the distance formula
Thus option C is correct.
[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Option C
Let's look up at an example
(3,4)(1,2)Distance:-
√(3-1)²+(4-2)²√2²+2²√4+4√82√2Find the angle marked y in the figure below
Answer: 75 degrees
Step-by-step explanation:
how do i find a,b and k?
Answer:
a = 1
b = 2
k = -2
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]
First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:
Our a-value is 1
Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:
Our b-value is 2
Third, find the k-value. Right now we have the equation:
[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]
To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:
[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]
Therefore, the value of k is -2
section 7 test yourself
Find a unit vector u with the same direction as x =<40,9>.
Answer:
[tex]< \frac{40}{49} , \frac{9}{49} >[/tex]
Step-by-step explanation:
They have the same directionUpon cancelling the denominators, they give :< 40, 9 >Therefore, they have the same denominator0.063 = 0.9 X _____
Pls answer I need ASAP
Step-by-step explanation:
[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]
help me plsssssssssss
Answer:
Sin 21 = p/b
0.358 = 5.5 / x
x = 5.5 / 0.358
therefore , x = 6.97
Step-by-step explanation:
Use sin formula
which is perpendicular/ base
just put the value
