Irrational or rational -14.3
Answer:
It is an rational
Step-by-step explanation:
The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area.
Answer:
6cm produces the largest mosquito
Step-by-step explanation:
The question has missing details.
From the complete question, the function is:
[tex]g(x) = 12x-x^2[/tex]
Required
Which area of rainfall produces the most mosquito
This implies that, we calculate the maximum of the function.
This is calculated as:
[tex]Max = -\frac{b}{2a}[/tex]
We have:
[tex]g(x) = 12x-x^2[/tex]
Rewrite as:
[tex]g(x) = -x^2 + 12x + 0[/tex]
From the above:
[tex]a= -1[/tex]
[tex]b = 12[/tex]
[tex]c = 0[/tex]
So, we have:
[tex]Max = -\frac{b}{2a}[/tex]
[tex]Max = -\frac{12}{2 * -1}[/tex]
[tex]Max = \frac{12}{2}[/tex]
[tex]Max = 6[/tex]
This implies that:
[tex]x = 6[/tex] ---- the maximum
When rainfall is at 6cm, there is a maximum number of mosquitoes
The maximum is then calculated as:
[tex]g(x) = 12x-x^2[/tex]
[tex]g(6) = 12 * 6 - 6^2[/tex]
[tex]g(6) = 72 - 36[/tex]
[tex]g(6) = 36[/tex]
The maximum number of mosquito is 36 million
did i do this right “what % of 369 is 26” i got 7.04 so is that the rounded answer (hundredths place) or just 7.0=7?
Answer:
26 is 7.05% or 7.04% of 369.
Step-by-step explanation:
Now 7.04% of 369 is actually 25.9776.
and 7.04% is 26.01452.
But if you round both 25.9776 and 26.01452 you get 26
So, technically you are correct.
Hope this helps! :)
find the solution to the system of equations.
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
To know more about Parabola:
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the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
In illustrating combination question, during conference meeting there are 7 guests bumped their elbow instead of shake hand in greeting each of other to observe the health protocol ,and show the solution please...
You go to Kohl's to purchase retro jordan shoes for $74.99. Kohl's is offering in-store discount at 30%. You Kohl's dollar coupon for another 20% off. What is the price of the shoes before tax?
Answer:
41.99
Step-by-step explanation:
74.99*(100%-30%)
52.493
52.493(100%-20%)
41.99
The number of bacteria, B, present in a culture after t minutes is given as B = 10ekt. If there are 3778 bacteria present after 7 minutes, find k.
A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h hours.
Answer:
50 times h=d
Step-by-step explanation:
Each quadrilateral below is a parallelogram . find the missing measures .
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.
Answer:
D) 59.66 m
Step-by-step explanation:
circumference = 19π = 59.66 m
Number of Amusement Park Visits A 2-column table with 5 rows titled Number of Amusement Park Visits. Column 1 is labeled Visits with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 4, 7, 3, 4, 2. You asked amusement park visitors the question “How many amusement parks have you visited this summer?” The tally table shows the results. Which number line would be best to use to create a dot plot of the set of data? a number line from 0 to 4 a number line from 1 to 5 a number line from 2 to 7 a number line from 0 to 7
Answer:
B
Step-by-step explanation: let me know if this is wrong
Answer:
its b
Step-by-step explanation:
well the person above me is correct he should get brainlies
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Answer:
I think D
Step-by-step explanation:
I am not sure sorry
i need this pls it’s due tm i was absent
Answer:
Well x would be 103° because it forms a line (180°) with the 77° but I have no idea what those arrows are asking...
Pls answer quickly I only have a 1 hr left to submit this assignment and I’m so stuck on it
A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?
Answer: You can save 15% or more on car insurance when you switch to Geico
Step-by-step explanation:
The difference in sale prices between the two stores is $4.5.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a $30 sweater is on sale for 20% off at Kohls.
Here, sales price = 30-20% of 30
= 30-20/100 ×30
= 30- 0.2×30
= 30-6
= $24
The same $30 sweater is on sale at Macy's for $5 off the price.
Here, sales price = 30-5% of 30
= 30-5/100 ×30
= 30- 0.05×30
= 30-1.5
= $28.5
So, difference in price = 28.5-24
= $4.5
Therefore, the difference in sale prices between the two stores is $4.5.
To learn more about the discount visit:
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Find the measure of the unknown angle for the following.
1. a triangle with angle measures of 66° and 77°
2. a right triangle with one angle measure of 36°
3. a quadrilateral with angle measures of 144°, 84°, and 48°
4. Divide a six-sided polygon into triangles to find the sum of its interior angles.
Answer:
1. 37°
2. 54°
3. 84°
Step-by-step explanation:
1. 180-(66+77)=37°
2. 180-(90+36)=54°
3. 360- (144+84+48)
Find the greatest common factor of 4c3 and 6m2.
Answer:
The GCF is 2
Step-by-step explanation:
Here, we want to find the greatest common factors of the two terms
We have the terms written in terms of the products of their multiples as follows;
4c^3 = 2 * 2 * c * c* c
6m^2 = 2 * 3 * m * m
As we can see, the greatest common factor of the two is simple the value 2
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Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the highest student changed the distribution by a lot
help please. If (a,b) is the center of this circle, fine a+b
Answer:
Given
(X+1)²+(y+4)² =25
or, {x-(-1)}² +{y-(-4)}² =5²
comparing with (x-h)²+(y-k)² = r²
h= -1
k= -4
center of circle (h,k)= (-1,-4)
by question..
(a,b) is centre of circle so...
(a,b) =(-1,-4)
i.e
a=-1
b=-4
now;
a+b= -1+(-4)
= -1-4
= -5
t-shirt costs $12 A pair of shorts costs $25 Amira plans on spending no more than $160 and wants to buy more than 5 items.
Answer:
5 shirts and 4 pairs of shorts
Step-by-step explanation:
160-1 set (12+25=37)=123
123-1 set=86
86-37=49
49-37=12
12-1 t-shirt=0
help btw it needs to be rounded to the hundredths
Answer:
Hewo!!!
The answer is 9.1 or if you don't want a decimal then, 9.
Step-by-step explanation:
10% ?
___ ___
100 91
First:
you make them into fractions (hint: 100 is ALWAYS the denominator of your percent)
Second:
You multiply 10 and 91 which gives you 910
Third:
910
___
100
You put the fractions like this and cross out the two zeros to get this:
91
__
10
Lastly you divide 91 and 10 which gives you 9.1 and if you don'y want a decimal then round it to the nearest whole number which gives you 9.
Hope this helps!! =3
Question 4 please help as fast as you can
Answer:
-4y+1
Step-by-step explanation:
Pythagorean
Diego props a 10ft ladder against the wall how high up will the ladder reach if the foot of ladder is 5 feet away from the wall ?
Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
solve the inequality
3y-15>6
show your work
Answer:
y>7
Step-by-step explanation:
3y-15>6
Add 15 to both sides
3y-15+15>6+15
Simplify;
3y>21
Divide both sides by 3
3y/3>21/3
Simplify;
y>7
Answered by NONE other than then ONE and ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
When given a word problem, what should you always do to better visualize the problem?
Step-by-step explanation:
1.Read the Entire Word Problem.
2.Think About the Word Problem.
3.Write on the Word Problem.
4.Draw a Simple Picture and Label It.
5.Estimate the Answer Before Solving.
6.Check Your Work When Done.
7.Practice Word Problems Often.
What is the axis of symmtry
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical.
Step-by-step explanation:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?
25,900 km
185 km
76 km
259 km
Answer:
259 km
Step-by-step explanation:
Butterfly method 100/185=140/???
185*140=25900
divide by 100
=295