Answer:
Step-by-step explanation:
t1 means a1 and t7 means a7
a+(n-1)d=an
a+(1-1)d=4
so we get a as 4
a=4
a+(n-1)d=an
4+(7-1)d=22
4+6d=22
6d=22-4
d=18/6
d=3
The air quality index, or aqi, measures how polluted the air is in your city and assigns a number based on the quality of the air. over 100 is "unhealthy". the number of days the aqi exceeds 100 in a given year is modeled by the following quadratic regression equation: n = 1.76 t squared minus 13.32 t 41.00 let n represent the number of days the aqi exceeds 100 in a given year. approximately how many days did the aqi exceed 100 in the year 1988? round to the nearest whole day. (let t represent the number of years since 1990. therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days
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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Jody ships her sculptures in boxes with a length of 2 1/3 ft. a width of 2 ft., and a height of 1 2/3 ft. What is the maximum number of sculptures she can ship one box?
The sum of two numbers is 3. Their difference is 13. Find the numbers.
Answer:
The numbers are
5
and
8
Step-by-step explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8
[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]
Will give BRAINLY AND FIVE STARS and A THANKS
Answer:
7 to 49
Step-by-step explanation:
The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.
Answer:
k = 7h.
Step-by-step explanation:
Each value of k is 7 times the value of h.
So k = 7h.
Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.
Answer:
See below ↓↓↓↓
Step-by-step explanation:
a) Area of circle with radius 10 units
A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. unitsb) Circumference of circle with diameter 7 units
r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 unitsc) Diameter of circle with area 121π square units
A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 unitsd) Area of circle with circumference 20π units
C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square unitsArea of circle with radius 10 units is 314 square units,
Circumference of circle with diameter 7 units is 22 square units,
Diameter of circle with area 121π square units is 22 units and
Area of circle with circumference 20π units is 314 square units
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
a) Area of circle with radius 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 sq. units
b) Circumference of circle with diameter 7 units
C = πd
C = 3.14×7
C = 21.98 units
c) Diameter of circle with area 121π square units
A = πr²
121π = πr²
r = √121 = 11 units
d = 2r = 2 x 11 = 22 units
d) Area of circle with circumference 20π units
C = 2πr
20π = 2πr
r = 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 square units
Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units
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Bill can paint a closet in 2 hours. Joe can paint the same in 7 hours. Write equation that can used to find long paint the closet working together. Let represent the number both to complete the job.
Answer:
14/9 hours
Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9
Please help; struggling in Algebra
Answer:
50
Step-by-step explanation:
The mean splits a data set into 50-50
So the answer is 50
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
y = 3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.
-14 = 3(-4) + b
To find b, multiply the slope and the input of x (-4)
-14 = -12 + b
Now, add 12 to both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 3x - 2
This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)
Hope this helps!
Learn with another example:
https://brainly.com/question/27121082
Of 500 people, 100 wear glasses.
Write the number of people who do not wear glasses as a fraction of the total number of people
Answer:
400/500 people do not wear glasses.
Step-by-step explanation:
There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.
Answer:
500/500-100/500=400/500
I believe it is
The soccer players were required to run 6 more laps per day than the tennis players for five straight days. If the soccer players ran 45 laps total during these days, how many laps did the tennis players run each day?
Answer:
3 laps per day
Step-by-step explanation:
Divide 45 laps by 5 days to get how many laps they ran per day
45/5 = 9 laps per day
The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps
6-9 = 3 laps per day
how do you do 35x56 i need help please
Answer:
EASY-
Step-by-step explanation:
First you need to write down the equation into what I call box form.A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?
How fast the distance between them decrease is 16mph
How to calculate the speed of an object?Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: https://brainly.com/question/4931057
Answer: 28 mph
Step-by-step explanation:
EZ QUESTION, FREE BRAINLIEST
The maximum possible area is 36 square units.
Answer:
36sq Units at max? i think
Step-by-step explanation:
Have a good day!
#ViolentJax~
Hello people ~
what's the area of a rectangle whose width is 16m and length is 13m?
Answer:
208 m²
Step-by-step explanation:
[tex]16 \: m\times 13 \: m = 208 \: {m}^{2} [/tex]
In the figure below all lines intersect at point W what is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation
Answer:
Step-by-step explanation:
First a translation then a reflection.
Simplify the expression.
3.8m + 7 - 2.8m
(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
m + 7
Step-by-step explanation:
→ Collect like terms
3.8m - 2.8m + 7
→ Simplify
m + 7
Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
Answer:
5 more feet
Step-by-step explanation:
iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119
what's the answer to this question and how do I solve it?
Answer:
80 gummy bears are in 4 servings.
Step-by-step explanation:
2 servings=40 gummy bears
3 servings=60 gummy bears
40+20=60
Add 20 gummy bears for every serving.
5 servings=100 gummy bears
100-20=80 gummy bears are in 4 servings
OR you can also do:
40÷2=20 gummy bears are in each serving
So, 4x20=80 gummy bears are in 4 servings
Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
Preliminary task
Draw a regular octagon.
Draw a perpendicular from the side's midpoint to the center. (That is the apothem).
Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.
The octagon has 8 such triangles.
Area one triangle
Area = 1/2 * side * apothem
side = 6
apothem = 10
Area = 1/2 6 * 10
Area = 30
Area of 8 such triangles.
Area = 8 * area of 1 triangle
area 1 triangle = 30
Area of 8 such triangles = 30*8 = 240
Answer 240
A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:
The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A circular flower bed in a botanical garden has a radius of 4 feet.
Then the area of the flower bed will be
Area = π r²
Area = π × 4²
Area = 16π
Area = 16 × 3.14
Area = 50.24 square feet.
More about the circle link is given below.
https://brainly.com/question/11833983
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank? PLEASE HELP NOW
Answer:
20 containers
Step-by-step explanation:
5L = 5000ml
so,
5000/250 = 20 containers
I hope my answer helps you.
fill 5L tank using 250 ml container .
to find:how many full containers are required to fill the tank.
solution:1 L= 1000 mL
1000 mL/250mL = 4
1 L= 4 full containers
4 containers x 5 liters = 20 full containers.
so, 20 full containers are required to fill the fish tank.
Find n that makes this equation true.
4^4 + 4^4 + 4^4 + 4^4
________________ = 4^n
4^3 + 4^3
Answer:
4^4 + 4^4 + 4^4 + 4^4=20
4^3 + 4^3=128
I can't get the real answer
but what can
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
( Will mark brainiest )
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
P.S: I anwsered it here:
https://brainly.com/question/27350649
Answer:
1.25
Step-by-step explanation:
There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.
What is the range of the function f(x) = |x| + 3?
{f(x) ∈ ℝ | f(x) ≤ 3}
{f(x) ∈ ℝ | f(x) ≥ 3}
{f(x) ∈ ℝ | f(x) > 3}
{f(x) ∈ ℝ | f(x) < 3}
{f(x) ∈ ℝ | f(x) ≥ 3} is the range of f(x) = |x| + 3
⇒ Range is in the y-axisWhen graphing the following equation shown below:
f(x) ≥ 3f(x) ∈ ℝ[ 3, ∞ ]Answer:
{f(x) ∈ ℝ | f(x) ≥ 3}
Step-by-step explanation:
The range of a function is the output values (y-values).
Absolute value is the distance of x from zero, so it is never negative. It is denoted by a bar on either side of the term.
Therefore, as |x| ≥ 0 then |x| +3 ≥ 3
Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}
find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
find the base of the triangle !
please hurry! Thank you!
Answer:
given
area of triangle = 48
height(h)=12
base(b) =‽
now,
area of triangle(a) =1/2 base×height
48=1/2 b×12
48=b×6
b=8
What is the surface area?
Answer:
24 ft^2
Step-by-step explanation:
The srface area consisists of 2 triangles and 3 rectangles.
Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3
= 12 + 4 + 5 + 3
= 24 ft^2.
Plss help will give Brainliest!!!!
Answer:
1/6
Step-by-step explanation:
there are 90 girls in third year, 25 of whom Study biology what percentage of third year girls study biology
Answer:
27.7% of third year girls study biology