To find the air pressure of a thunderstorm, the given wind velocity is substituted into the function and the equation is solved for the air pressure in millibars.
Explanation:To find the air pressure of a thunderstorm where the wind velocity is 49.3 meters per second, we need to substitute this given wind velocity into the given function and solve for p.
First, we equate the function v(p) = 5.7 √998 - p with the given wind velocity, so we get 49.3 = 5.7 √998 - pSecond, we isolate the square root term on one side by dividing both sides by 5.7 which gives √998 - p = 49.3/5.7Then we square both sides to get rid of the square root: (998 - p) = (49.3/5.7)² After simplifying the equation, we can solve for p, which is the air pressure in millibars.Learn more about Air pressure calculation here:https://brainly.com/question/13624217
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To calculate the air pressure during a thunderstorm with a wind speed of 49.3 m/s, use the mathematical function provided. Solve for 'p' by setting the function equal to given wind speed, isolating 'p', and calculating thereafter.
Explanation:The student's question pertains to finding an unknown in the function v(p) = 5.7 √998 - p, given that the wind velocity is 49.3 m/s. The expression given is for wind velocity in a storm, based on changing air pressure. To answer this, we need to solve the equation for 'p'.
1. First, we set the equation equal to 49.3: 49.3 = 5.7 √998 - p
2. Then we isolate the square root term by dividing by 5.7: (49.3/5.7) = √998 - p
3. After that, we square both sides to eliminate the square root: (49.3/5.7)^2 = 998 - p
4. We then isolate 'p' by subtracting the result from 998: p = 998 - (49.3/5.7)^2
Doing the calculations will give the approximate value of 'p', which is the air pressure in millibars for a thunderstorm with a wind velocity of 49.3 m/s.
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Need help on #4 thank you!
Answer:
Try 336
Step-by-step explanation:
14+14=28
triangle area= 12x6x28=84
rectangle area= 28x9=252
252+84= 336
answer=336
help me ASAP plwzzzz
Answer:
6 ft /\ 2
Step-by-step explanation:
Multiply the altitude of the diamond times the length of one of its sides. The altitude is the distance between any two opposite sides of the diamond. So if the diamond has an altitude of 2 feet and its sides are each 3 feet long, its area is 2 * 3 = 6 feet squared.
Help no one is answering this if u answer I will give 100 points
Answer:
14.1
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi (1.5)^{2}\\ \\v = 14.1[/tex]
Answer:
14.1 is right just trying to help and support
Step-by-step explanation:
What is the perimeter of triangle ABC, shown?
Answer:
i think no.c is correct because there is the value of a b c as indicated in the diagram
A random survey asked two samples of 100 high school students how much time they spend on homework each night. A 4-column table with 2 rows. Column 1 has entries Sample 1, Sample 2. Column 2 is labeled 0 to 30 minutes with entries 38, 41. Column 3 is labeled 31 to 60 minutes with entries 42, 36, Column 4 is labeled 61 to 90 minutes with entries 20, 23. Which inference is true?
Answer:
The answer is c
Step-by-step explanation:
About the same number of students spend 0-30 minutes on homework as spend 31-60 minutes.
A basketball player makes 70% of his free throws the random numbers below represent 20 trials for a simulation let the numbers 0 to 6 represent a made free throw and let 7 to 9 represent a missed free throw use this simulation to estimate the probability that the player makes both free throws. (5,5) (0,6) (9,6) (7,4) (9,1) (7,3) (0,4) (9,3) (2,9) (1,4) (6,8) (5,3) (1,7) (1,7) (1,8) (3,5) (7,2) (2,1) (0,6) (1,8)
Answer:
Step-by-step explanation:To estimate the probability that the player makes both free throws based on the given simulation results, we can analyze the number of successful free throws (numbers 0 to 6) in each trial. From the provided data, we can identify the trials where both free throws were successful (made), indicated by the numbers 0 to 6 occurring twice in a row. Let's examine the data:(5,5) (0,6) (9,6) (7,4) (9,1) (7,3) (0,4) (9,3) (2,9) (1,4) (6,8) (5,3) (1,7) (1,7) (1,8) (3,5) (7,2) (2,1) (0,6) (1,8)Based on this data, we can see that the combinations where both free throws were made (0 to 6 occurring twice in a row) are:
(5,5) (1,8)Therefore, there are 2 trials out of 20 where the player made both free throws.To estimate the probability, we can divide the number of trials where both free throws were made (2) by the total number of trials (20):Probability = Number of successful trials / Total number of trials
Probability = 2 / 20
Probability = 0.1Therefore, based on this simulation, the estimated probability that the player makes both free throws is 0.1 or 10%.
The probability that the player makes both free throws is 55%.
Given data:
To estimate the probability that the player makes both free throws, count the number of trials where both free throws were made and divide it by the total number of trials.
Looking at the given random numbers, the pairs (5,5), (0,6), (9,6), (7,4), (9,3), (2,9), (1,4), (6,8), (5,3), (3,5), and (7,2) represent made free throws.
On counting the number of trials where both free throws were made, there are 11 pairs.
Since there are 20 total trials, the estimated probability of the player making both free throws is:
11/20 = 0.55
Hence, the estimated probability that the player makes both free throws is 0.55 or 55%.
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Which one of the following data sets has more than one mode?
A. {10, 20, 30, 30, 40, 50, 50}
B. {10, 20, 30, 40, 50, 70, 70}
C. {20, 20, 30, 30, 30, 40, 40}
D. {10, 20, 30, 40, 50, 60, 70}
From the given data sets, only option A has more than one mode (30 and 50),
so the correct answer is:
A. {10, 20, 30, 30, 40, 50, 50}.
We know that, A mode is a value in a dataset that appears most frequently.
To determine which data set has more than one mode, we need to find the sets that have multiple values that appear most frequently.
Let's examine each data set:
A. {10, 20, 30, 30, 40, 50, 50}
Mode(s): 30 and 50 (both appear twice)
B. {10, 20, 30, 40, 50, 70, 70}
Mode(s): 70 (appears twice)
C. {20, 20, 30, 30, 30, 40, 40}
Mode(s): 30 (appears three times)
D. {10, 20, 30, 40, 50, 60, 70}
Mode(s): None (each value appears only once)
From the given data sets, only option A has more than one mode (30 and 50),
so the correct answer is:
A. {10, 20, 30, 30, 40, 50, 50}.
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How can (5^2)^3 be written using a single exponent
Answer:
5^6
Step-by-step explanation:
With exponents to exponential powers, you can simply multiply the exponents. So since 2*3=6, (5^2)^3 = 5^(2*3) = 5^6
Answer:
5⁶
Step-by-step explanation:
(5²)³ is equal to the two exponents multiplied together
(5²)³ = 5⁶
Consider the quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D.
Quadrilateral BCEF in circle A with diagonals EB and CF is given below.
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
m∠ECB + m∠EFB=180
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent
m∠CDB≅m∠EDF
Also sum of angles in triangle CBD is 180°.
m∠CDB +m∠DCB+m∠CBD =180
What is the image of
(-6,9)
after a reflection over the y-axis?
Answer:
(6, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 6, 9 ) → (6, 9 )
Reflection over the y-axis in mathematics changes the sign of the x-coordinate of a point while the y-coordinate remains unchanged. Therefore, the point (-6,9) reflects over the y-axis to become (6,9).
Explanation:In mathematics, a reflection over the y-axis is a geometrical transformation of a point in a two-dimensional space. When we reflect a point over the y-axis, the x-coordinate of that point changes its sign, while the y-coordinate remains the same.
Given the point (-6,9), after reflection over the y-axis, it will become (6,9). This is because the reflection changes the sign of the x-coordinate, turning -6 into 6, while the y-coordinate remains the same.
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Where does −3/7
belong on the Venn diagram?
A) Integers
B) Natural Numbers
C) Rational Numbers
D) Irrational Numbers
PLS HELP IM ALMOST DONE WITH MY TEST JUST ONE MORE TO GO AND I WILL BE DONE WITH SCHOOL ONLINE!!!!PLS PLS PLS PLS!!!!I WILL GIVE BRAINLIEST AND 5 STARS AND POINTS!!!!!!!
The value -3/7 falls into the category of Rational Numbers. This category includes all numbers that can be expressed as a fraction or quotient of two integers.
Explanation:The value -3/7 belongs in the group of Rational Numbers. Rational numbers are defined as any number that can be represented as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Integers and Natural numbers, option A and B, do not include negative values or fractions. An irrational number, option D, cannot be written as a simple fraction. Since -3/7 is a negative fraction, it can only be classified as a rational number. So, -3/7 would be placed in the section representing Rational Numbers on a Venn diagram of number types.
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If g(x) is a translation of f (x) =x^2 right by 5 units and down 3 units which is g(x) ? Please help me ASAP
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + h) represents a horizontal translation of f(x)
• If h > 0 then a shift to the left of h units
• If h < 0 then a shift to the right of h units
Here the shift is 5 units right, thus g(x) = (x - 5)²
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 3 units down, thus g(x) = f(x) - 3
Hence
g(x) = (x - 5)² - 3 → C
Help! Quadrilateral ABCD is rotates 90 clockwise about the origin. What are the coordinates of quadrilateral A’B’C’D?
Answer:
its a i had this on my test
Answer:
The answer is D
Step-by-step explanation:
When you look at the right side they already flipped the shape for you so all you have to do is count the units to find the coordinates.
Hoped it helped
What is the solution-3x+10=-20
Answer:
[tex] - 3x + 10 = - 20 \\ - 3x = - 20 - 10 \\ - 3x = - 30 \\ \frac{ - 3x}{ - 3} = \frac{ - 30}{ - 3} \\ x = 10[/tex]
Steps to solve:
-3x + 10 = -20
~Subtract 10 to both sides
-3x + 10 - 10 = -20 - 10
~Simplify
-3x = -30
~Divide -3 to both sides
-3x/-3 = -30/-3
~Simplify
x = 10
Best of Luck!
Rectangle wxyz has the following coordinates w(1,1),x(5,1),y(5,4). What’s the missing coordinate for point z?
To find the missing coordinate for point Z of rectangle WXYZ, we apply the properties of rectangles with given coordinates W(1,1), X(5,1), and Y(5,4). Z shares its x-coordinate with W and its y-coordinate with Y, so the missing coordinate for Z is Z(1,4).
Explanation:To determine the missing coordinate for point z of rectangle WXYZ, we need to understand the properties of rectangles. A rectangle has four right angles, and opposite sides are equal and parallel. Coordinate geometry principles are applied here for pinpointing the missing point.
Given the coordinates of points W(1,1), X(5,1), and Y(5,4), we can deduce the coordinates of Z. Since WX is a horizontal line segment and WY is a vertical line segment, we can infer that X and Y have the same x-coordinate because they are both on the right side of the rectangle. Similarly, W and Z should have the same x-coordinate since they are on the left side. Since the x-coordinate of W is 1, so will be the x-coordinate of Z.
Also, because W and X have the same y-coordinate, we know that the top and bottom sides of the rectangle are horizontal. Y and Z, therefore, must have the same y-coordinate, which is 4, the y-coordinate of point Y.
Thus, the missing coordinate for point Z is Z(1,4).
Factor completely 81x^4-16
Jamie has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 14 ft above the ground.
1A. Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number
2A. For safety reasons Jamie wants the angle the ladder makes with the ground to be no greater than 75 degrees. Will the ladder be safe the way she has it positioned?
Answer:
1A. = 68.96 degrees.
2A. = YES
Step-by-step explanation:
Hi, to answer this question we have to apply:
sin (angle ) = opposite side / hypotenuse
Since the triangle formed is a right triangle ( see attachment), the hypotenuse is the length of the ladder (the longest side), and the opposite side to the angle is the distance between the top of ladder and the ground.
Replacing with the value given
sin x = 14/15
Solving for x
x = arcsin 14/15
x = 68.96 degrees. (1A)
Since the angle is lower than 75 degrees, the ladder is safe the way is positioned.
Farmer Brown and Farmer Green were talking over their fence one afternoon. Farmer Brown said, "If you gave me one of your cows, we would have the same number of cows." Farmer Green said, "If you gave me one of your cows, I would have twice as many cows as you." How many cows do they have in total?
Farmer Brown has 5 cows and farmer Green has 7 cows
Step-by-step explanation:
Let the no. of cows farmer brown has be 'b'
Let the no. of cows farmer green has be 'g'
Given that,
B+1 = G-1
G = B + 2
G+1 = 2(B-1)
G+1 = 2B - 2
G = 2B -3
B + 2 = 2B - 3
2 + 3 = 2B - B
B = 5
G = B +2
G = 5 + 2
G = 7
Farmer Brown has 5 cows and farmer Green has 7 cows
what is 3√9 written in exponential form?
Answer:
3
⋅
9
1
2
Step-by-step explanation:
Rewrite
9
as
3
2
.
3
√
3
2
Pull terms out from under the radical, assuming positive real numbers.
3
⋅
3
Multiply
3
by
3
.
9
3. f(x) = 2x + 5
Find f(0)
Answer:
5
Step-by-step explanation:
[tex]f(x) = 2x + 5 \\ pluggng \: x = 0 \\ f(0) = 2 \times 0 + 5 = 0 + 5 = 5 \\ f(0) =5 \\ [/tex]
Find the measure of the angle indicates.
Answer:I'm pretty sure it is 80 Hope that helps
Step-by-step explanation:
Which deal is better 20 for $8 or 30 for $10
- If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the
length x of a side of the square,
Answer:
1⅓ inches
Step-by-step explanation:
Area = side² = x²
9(x²) = 16
x² = 16/9
x = 4/3 inches or 1⅓ inches
Final answer:
To find the side length x of the original square when the area multiplied by nine equals 16 square inches, solve the equation [tex]9 \times x^2 = 16[/tex], resulting in x being [tex]\frac{4} {3}[/tex] inches or approximately 1.33 inches.
Explanation:
If the area of a square is multiplied by nine and becomes 16 square inches, we can write the equation as
[tex]9 \times x^2 = 16[/tex], where x is the length of a side of the square.
To find the length of the side x, we first divide both sides of the equation by 9 to isolate [tex]x^2[/tex]:
[tex]x^2 = \frac{16}{9}[/tex]
Then, we take the square root of both sides to solve for x:
x = [tex]\frac{4} {3}[/tex] or approximately 1.33 inches.
So the length x of a side of the original square is [tex]\frac{4} {3}[/tex] inches.
3. A multiple choice test contains 15 questions. Each question has four options, only one of
which is correct. What is the probability of guessing exactly 9 questions correctly?
Answer:
[tex]\frac{5005\times 3^6}{4^{15}}[/tex]
Step-by-step explanation:
by using binomial property, we get the probability
[tex]P=C^{15}_{9}\times \frac{1}{4^9}\times \frac{3^6}{4^6}[/tex]
zaproszenie na spektakl Felix Net i Nika oraz Gang Niewidzialnych Ludzi.
Answer:
Invitation to the performance Felix Net and Nika and a Gang of Invisible People.
Step-by-step explanation:
What is 3 ÷ 19?
Answer Wisely.
Choose The Right Path.
Answer:
0.157894737
Step-by-step explanation:
Which points are on the graph of f(x) = RootIndex 3 StartRoot x EndRoot? Check all that apply. (–27, –3) (–1, 1) (0, 0) (1, 1) (3, 27)
Answer:
(-27,-3) (0,0) (1,1)
Step-by-step explanation:
Because I got it right xD
Answer:
Just DID THIS!!!Here are your answers,
(-27,-3)
(0,0)
(1,1)
Step-by-step explanation:
Don't forget to hit that Brainliest button!
find the value of x
Answer:
thanks 45
Step-by-step explanation:
$$56-5($4+448
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rijdhxhchxjjxjsjduu73627
What is 2 + 2? Will mark brainliest!!
Answer:
It's four.
Step-by-step explanation:
Doesn't require an explanation buuut.... Imagine you have two apples, and a friend gives you two more, you then have four apples.
Answer:
Step-by-step explanation:
4
dentify the radius and the center of a circle whose equation is (x – 5)² + y² = 81. The radius of the circle is ___ units.
The center of the circle is at ( , ).
Answer:
9 units
Center is at (5, 0)
Step-by-step explanation:
The radius of the circle is equal to the square root of 81
[tex]\sqrt{81}[/tex] = ±9
Since the radius of a circle must be positive the answer is 9 units.
The center of the circle is at (5, 0)