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. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
11. The temperature in Kingstown was 8.1°C at 5:00 p.m. By 11:00 p.m., the temperature
had dropped by 14.8°C. Which is the best estimate of the temperature in Kingstown at
11:00 p.m.?
A. -23°0
B. -7°c
C -6°
D. 0°C
Answer:
B) -7°c
Step-by-step explanation:
Y=x2= is that a function?
Jake is the starting quarterback on his school's football team. He has completed 37 of his 63 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
Answer:
59%
Step-by-step explanation:
37 over 60 besides a 1 over 100
37 1
=
63 100
cross multiply
37(100)=63(1)
3700=63
3700 divided by 63 = 58.7301..... which you can round up to 59%
Find the area of the figure
Answer:
A = 76.912Step-by-step explanation:
Area of triangle with angle of 30°:
[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]
Area of triangle with angle of 50°:
[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]
Area of the rest of the figure:
[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]
Therefore:
[tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]
1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х
Answer:
7.5
Step-by-step explanation:
The values 15ft, 13ft and x are the sides of a right triangle;
According to pythagoras theorem;
15² = 13²+x²
x² = 15² - 13²
x² = 225 -169
x² = 56
x = √56
x = 7.48
Hence the value of x to the nearest tenth is 7.5 to the nearest tenth
A relay race covers 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction kilometers, and each runner on a team will run \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a kilometer. I NEED A ANSWERRRR
Answer:
6 runners
Step-by-step explanation:
Complete question
A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer. How many runners are needed for a team?
Given that;
1 runner = 1/4 km
If a relay race covers 1 1/2 km, hence;
x runner = 1 1/2 km
Divide both expressions
1/x = (1/4)÷(1 1/2)
1/x = 1/4 ÷ 3/2
1/x = 1/4 * 2/3
1/x = 2/12
Cross multiply
2x = 12
x = 12/2
x = 6
Hence 6 runners are needed for the race
Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=
Answer:
y = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]
Step-by-step explanation:
5y + 7x = -2
5y = -7x - 2
y = -(7x)/5 - 2/5 = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]
True or False? The lateral surface area is the same as the total surface area.
Answer:
Lateral surface area means curved surface area
Total surface area means curved surface area + surface area of the bottom and top.
So i think its false
Step-by-step explanation:
What is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)? A. y=1/2x+4 B y=-1/2x+6 C y=-1/2x+4 D y=-1/2x+8
Answer:
y = -1/2x + 8
Step-by-step explanation:
y = -1/2x + b
6 = -1/2(4) + b
6 = -2 + b
8 = b
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
The CSU Tropical Meteorology Project team predicts 17 named storms during the Atlantic hurricane season. Of those, researchers expect eight to become hurricanes and four to reach major hurricane strength (Saffir/Simpson category 3-4-5) with sustained winds of 111 miles per hour or more.
What is the predicted probability that out of the 17 named storms will actually produce hurricanes? _________
Answer:
the answer is 1 5/12
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm
Did anybody laugh when the ice skater fell down?
Answer:
okkkkkkk ty for he points
Step-by-step explanation:
Answer:
Ty
Step-by-step explanation:
are these two answers correct?
(angle sums triangles)
Answer:
the answer for the first is 22°
the answer for the second is 83°
Answer:
x = 22°x = 83°Step-by-step explanation:
1.
The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.
2.
For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.
Then, we are able to find x by angle sum of triangles.
68°+29°+x = 180°.
9 more than the product of 3 and 12
Answer:
393
Step-by-step explanation:
(32)(12) + 9
This comes out to 384 + 9 = 393
Please help me with 1,2,3,4 and show me how you get it the answers
Answer:
Step-by-step explanation:
Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. Distance between A(3, 4) and B(8, 12),
AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]
AB = [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.43
2. Distance between C(-2, 10) and D(3, -2),
CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13.00
3. Distance between X(20, 4) and Y(17, 0),
XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{25}[/tex]
= 5.00
4. Distance between E(2, -1) and M(6, 9),
EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]
= [tex]\sqrt{16+100}[/tex]
= [tex]\sqrt{116}[/tex]
= 10.77
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
How will the graph of
f(x)=2(3x)
be different from
g(x)=2(3x−2)
Answer:
g(x) is shifted left by two units
the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?
the scale of the model is 1 inch = 9 feet
Answer:67.6
Step-by-step explanation:
How to write an equation in point -slope form for each line
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
has a y-intercept of (0,2) and passes through the point (3,128)
Answer:
y = 42x + 2
Step-by-step explanation:
The equation of a line is expressed as y = mx+b
Slope = y2-y1/x2-x1
Slope = 128 - 2/3-0
Slope m = 126/3
Slope = 42
Since the y intercept is (0, 2), hence b = 2
Get the equation;
Recall that y = mx+b
y = 42x + 2
This gives the required equation
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
David can run at a consistent rate of 8.2 miles per hour. If he has 3 and a half hours to
run, how far will he run if he runs at that rate?
Answer:
David can run 28.7 miles in 3.5 hours.
Step-by-step explanation:
8.2mph × 3.5hours = 28.7miles
good luck, i hope this helps :)
the circumference of a circle is 4π ft. find its diameter in feet
Answer:
4 is the diameter
Step-by-step explanation:
Given:
C = 4π
Formula for circumference:
C = 2πr
Work:
C = 2πr
4π = 2πr
r = (4π)/(2π)
r = 2
Diameter:
d = 2r
d = 2(2)
d = 4
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B. f(x) = -2x2 + 16x + 27 D, f(x) = -2x2 – 16x - 37
Answer:
see explanation
Step-by-step explanation:
f(x)= -2(x²+8x+16)-5
[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]
a spinner has 8 sections 2 purple 2 yellow 3 blue and 1 red what is the probability of spinning and landing on a blue or purple section
Answer:
5/8 is the probability.
Step-by-step explanation: