Answer:
Air pressure = [tex]4.6\frac{\text{lb}}{\text{in}^{2} }[/tex]
Step-by-step explanation:
Relationship between air pressure and altitude can be modeled by,
P = 14.7e[tex]14.7e^{-0.00004h}[/tex]
Where P = Air pressure
and h = altitude above the sea level
Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,
P = [tex]14.7e^{-0.00004\times 29028}[/tex]
= [tex]14.7\times e^{-1.16112}[/tex]
= 4.603
≈ 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Therefore, air pressure on Mount Everest = 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
3. Given the following functions f(x)=sinx and g(x)= cosx, find the value of each of the following.
a. (f+g) ( 30)
b. (f*g)(TT/4)
Answer:
Step-by-step explanation:
Find the slope and y-intercept of the line represented by each table.
Please help I will mark you as brainliest
What is the equation of the circle with a radius of 5 and center of (2, 3)?
A (x + 2)2 + (y + 3) = 25
B (x + 2)2 + (y + 3)2 = 5
OA
OB.
Answer:
None of the above.
Step-by-step explanation:
The equation should be (x - 2)^2 + (y - 3)^2 = 25
The standard equation of a circle is:
(x - a)^2 + (y - b)^2 = r^2
where (a,b) are the coordinates of the center and r, the radius.
here the center = (2,3) hence a = 2 , b = 3 and r = 5
The radius of a circle is 2 miles. What is the circles area? Use 3.14 for n
Answer:
A =12.56 miles^2
Step-by-step explanation:
The area of a circle is
A = pi r^2
A = 3.14 (2)^2
A = 3.14 (4)
A =12.56 miles^2
What is the slope-intercept equation of the line below?
Answer:
Y= -1/4x +2
Step-by-step explanation:
Answer:
y=-1/4x+2
Step-by-step explanation:slope formula-
y=mx+b
m=Slope
b= y-intercept
What are the solutions to the quadratic equation x? - 16 = 0?
N
OX= 2 and x = -2
O X= 4 and x = -4
O x = 8 and x = 8
OX= 16 and x = -16
Answer:
[tex]x^2 = 16[/tex]
[tex]x = \pm 4[/tex]
Thus the answer is (b)
The solutions to the given quadratic equation are +4 and -4. Therefore, the option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is x²-16=0.
Now, x²=16
x=±√16
x=±4
x=+4 or x=-4
Therefore, the option B is the correct answer.
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The equation of the circle with center (3, -2) and radius 7 is
(X blank) + (y blank)
Answer:
Step-by-step explanation:
(x-3)^2 + (y+2)^2 = 7^2
Answer:
[tex] (x - 3)^{2} + { (y + 2)^{2} = 49[/tex]
Step-by-step explanation:
Center of the circle = (3, - 2) = (h, k)
Therefore, h = 3, k = - 2
Radius r = 7
Equation of circle in centre radius form is given as:
[tex](x - h)^{2} + {(y - k)}^{2} = {r}^{2} \\ \therefore \: (x - 3)^{2} + { \{y - ( - 2) \}}^{2} = {7}^{2} \\ \red{ \boxed{ \bold{\therefore \: (x - 3)^{2} + (y + 2)^{2} = 49}}}[/tex]
How long is the wire that supports the tree?
Answer:
¿Qué alternativas habrías planteado para evitar la expansión de las guerrillas en todo el territorio colombiano?
Answer:
2.3 ft
Step-by-step explanation:
i looked it up on boogle.
What is the domain of the function y = log(x +
3)?
(-0,00) (-0,00)
(-00,-3)
(0,00)
(-3,00)
DONE
Answer:Find the domain of y = log(x + 3)
Logarithms can only be taken for positive numbers. So you must have
x + 3 > 0
x > – 3 ✔
So the domain of the function is
D = {x ∈ R: x > – 3}
or using the interval notation
D = (– 3, +∞)
I hope this helps :).
Answer correct for brainliest!
Answer:
Output value
Step-by-step explanation:
The table shows the heights, in inches, of players on a girls’ basketball team.What is the mean height, rounded to the nearest whole number if necessary?
Answer:
I believe it would be 70
Step-by-step explanation:
Answer:
The answer is 69. I just took the test
Step-by-step explanation:
how could you describe the graph
Answer:
wefawefaWF
Step-by-step explanation:
Solve for an Angle in right triangles
Answer:
B = 56.25
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos B = 5/9
Take the inverse cos of each side
cos ^-1 (cos B) = cos ^-1 (5/9)
B =56.2510114
To the nearest hundredth
B = 56.25
please i need help..
Similar shapes have the same angles. These two triangles have no angles in common, so they're not similar.
The circumference of a circle is 9.58. Find the length of the diameter. Give your answer to 2DP
Answer:
d≈3.05
Step-by-step explanation:
d= C/π
d=9.58/π
d≈3.04941
d≈3.05
what’s 3х + 7>4х +2
Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
[tex]3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x[/tex]
[tex]x < 5[/tex]
Your committee is voting on their logo. There are 7 possible logos and
you are to rank your top 3 logos. How many different combinations of 3 logos can you create?
Answer:
21
Step-by-step explanation:
3x7=21 possible combinations
What are the numbers of pi
Answer: 3.14
Step-by-step explanation: it goes on forever but that is what most people use to calculate with
helpp plzzz pt.3 yeahh
AB = 4.5
Step-by-step explanation:
We can cross multiply the sides in order to find the length of AB. Make sure you don't go diagonal, so you can't do 3/6. You can do 3/4 and 3/x, then match it to the same pattern.
This is the one I chose...
[tex]\frac{4}{3} =\frac{6}{x}[/tex]
Notice how I put them in the same order.
Now we can cross multiply...
[tex]4*x[/tex]
= 4x
[tex]6*3[/tex]
= 18
[tex]4x=18[/tex]
Divide by 4.
x = 4.5
The length of AB is 4.5.
the measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle
Answer:
Step-by-step explanation:
Sum of interior angles of polygon = (n -2) * 180
Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720
4x + 5x +6x +7x + 8x +9x = 180
39x = 180
x = 180/39
x=4.61
Smallest angle = 4x = 4*4.61 = 18.44
given the following quadratic equation, what is the value of A? 5x^2+8x-4
*5
*2
*8
*4
Answer:
a =5
Step-by-step explanation:
5x^2+8x-4
A quadratic can be written as
ax^2 +bx+c
a=5 b=8 c=-4
Answer:
The value of A is 5
Step-by-step explanation:
Because it is written in a quadratic equation
The spinner is divided into 8 equal sections. A spinner divided into 8 equal sections labeled brown, green, red, purple, brown, green, yellow, blue. What is the probability of spinning blue or green? StartFraction 1 over 8 EndFraction StartFraction 3 over 8 EndFraction One-half StartFraction 5 over 8 EndFraction
Answer:
for bule its 1/8 and green its 2/8
Step-by-step explanation:
The probability of spinning blue or green is equal to 1/4.
What is probability?The probability of an even tells the chances of occurrence of that event.
Given,
The spinner is divided into 8 equal sections:
brown, green, red, purple, brown, green, yellow, blue
Probability of all the colors is equal.
Therefore, probability of any color = 1/8
Probability of green = 1/8
Probability of blue = 1/8
The probability of spinning blue or green = Probability of green +
Probability of blue
= 1/8 + 1/8
= 2/8
= 1/4
Hence, probability of spinning blue or green is equal to 1/4.
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Two numbers have a sum of 25 and a difference of 5. Find two numbers.
Answer:
the answer is 15 and 10
Step-by-step explanation:
15 POINTS + BRAINLIEST
box plot question
Answer:
D
Step-by-step explanation:
a. The median, or line in the middle, is the same for both
b. This is the start to end of the box. For the top one, we have 39-33=6. For the bottom one, we have 36-30=6. These are the same.
c. The range is the highest minus the lowest value. For the top one, this is 41-31=10. For the bottom one, this is 38-28=10. These are the same.
This leaves D as our answer
Which number is greater?
A. 3.33 x 10^7
B. 2.34 x 10^5
Answer:
3.33times 10^7 because when it is possible to substract 2.24times10^5 from it
Answer:
Answer: A) 3.33 x 10⁷
Step-by-step explanation:
A is the correct answer because you're adding 7 to the left. Whereas for B, it's only 5 times, and the number is less than 3.33.
3.33 ⇒ 33.3 ⇒ 333 ⇒ 3330 ⇒ 33300 ⇒ 333000 ⇒ 3330000 ⇒ 33300000
2.34 ⇒ 23.4 ⇒ 234 ⇒ 2340 ⇒ 23400 ⇒ 234000
I hope this helps!
How would I complete this?
basically you would do length x width
5x and x
6 and 4
A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?
Answer:
the answer is 30 different ways
Step-by-step explanation:
Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes. If she packs 4 pencils each into x gift boxes, the inequality that represents this situation is . The simplified form of the inequality is .
Answer:
x ≤ 72
Step-by-step explanation:
In your own words, say what a rational number is. Give at least three different examples of rational numbers.