The height of the platform is 45 feet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation h(t)=−16t² +78t+45 gives the height of a firework
When a firework is launched from a platform, its height at time t=0 seconds is equal to the height of the platform.
To find the height of the platform, we can substitute t=0 into the equation:
h(0) = -16(0)² + 78(0) + 45
h(0) = 0 + 0 + 45
h(0) = 45
Therefore, the height of the platform is 45 feet.
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1.) 2x + y = 3
2.) x - 2y = -1
If equation 1 is multiplied by 2 and then the equations are added, the result is
3x = 2
3x = 5
5x = 5
Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)
A man was scuba diving to look for coral reef in the ocean. He descended at a rate of 3 meters per minute. If he continued for 10 minutes, has far below the water’s surface would he be?
Find x if segment A B is perpendicular to segment C D in the figure below.
The value of the segment 'x' is 9° as ∠ABC is a right angle.
What is a right angle?When the value of an angle is 90°, then it is called right angle.
Here, AB is perpendicular to CD.
Therefore, ∠ABC = 90°.
Again, ∠ABC = (7x + 27)° = 90°.
Therefore, 7x + 27 = 90
⇒ 7x = 63
⇒x = 9
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Help me please I don't understand
62 is 112% of what number? find the base and round to the nearest hundredth
Answer: Hello there!
if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x
then this means that 62 = 1.12x
now we want to find the number x:
62 = 1.12x
x= 62/1.12 = 55.35714
now we need to round it to the nearest hundredth:
the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.
We can see that the next number is a 7, so we should round up; then our number x is: 55.36
What is the approximate value of x?
Answer:
The answer is 17.
Step-by-step explanation:
Let the number plotted be x.
The point plotted on number line is slightly more than 4.
And this number is the square root of x.
We know that [tex]\sqrt{16}[/tex] is 4.
And the given point is close to 4 or square root of 16.
So, the best possible and closest answer is 17.
The square root of 17 is 4.123.
Therefore, the answer is 17.
what's the pattern for 1,3,5,7,5,3,1,3
The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.
The correct option is (A).
The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.
complete question given below:
The pattern 1,3,5,7... represents numbers.
A.odd
B.even
C.whole
I have the answer but I have to show work help?
the circled is the question and the uncircled is the simplified answer, or so I'm told.
What is the radius of Circle C?
The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.
Explanation:In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.
Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).
In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.
Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.
How many subsets does set a have if the set a has 3 elements? 3 6 8?
This should help
Let's say Set A = {1,2,3}, Set A can have subsets of:
{1}, {2}, {3}, {1,2}, {1,3}, {2,3}
And so there is 6 subsets.
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and c = 72°?
Answer:
[tex]c=11.49[/tex]
Step-by-step explanation:
It is given that a = 5, b = 12, and c = 72°, then using the cosine formula, we get
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]
[tex]c^2=25+144-2(60)(0.309)[/tex]
[tex]c^2=169-37.08[/tex]
[tex]c^2=131.92[/tex]
[tex]c=\sqrt{131.92}[/tex]
[tex]c=11.49[/tex]
Therefore, the value of the length of the side c is 11.49.
Find the probability of pulling a yellow ball out of a box if the box contains two red balls, three yellow balls, and one green ball. A. 1/4 B. 1/3 C. 1/2 D. 3/4
If f(x) = x + 8 and h(x) = 3x − 3, find a function g such that g ∘ f = h.
Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?
The right line is a translation of the left line 4 units to the right. Drag the left line and try to move it on top of the right line. Are these lines the same? What does this mean about how a line changes when you translate it?
yes they are the same.
A line does not change when translated
Yes, the lines are same.
Here,
The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.
What is translation?
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Clearly,
Line is not change when it translate.
So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.
Hence, the lines are same.
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Simplify. 14+4(12−34)2 Enter your answer in the box.
Answer:1/4+4(1/2−3/4)^2
Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2
Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make
A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
A.5.6m/s
B.12.5m/s
C.20.8m/s
D.208m/s
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
The camera shop wants to use the measure of central tendency that expresses how successful they are in selling camaers which measure of central tendency should they chosse
Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?
Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?
Answer:
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Step-by-step explanation:
Given : Log expression [tex]log_8(21)[/tex]
To find : Write the expression using the change of base formula.
Solution :
Logarithmic change of base rule formula is
[tex]log_ab=\frac{log_eb}{log_ea}[/tex]
Now, using logarithmic rule in [tex]log_8(21)[/tex]
where a=8 and b=21
[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]
Please answer the question please
The situation that is best modeled by a discrete graph is
HELP PLEASE!! GIVE EXPLANATION! 15 PTS!!
What is the value of p?
10p+5=18p–62
A. –8
B. –18
C. 4
D. 8
The value of p is [tex]\frac{67}{8}[/tex], which is approximately 8.375. Therefore, the correct option is D. 8
To solve for p in the equation 10p + 5 = 18p - 62, we first need to isolate p on one side of the equation.
First, we'll subtract 10p from both sides to move the variable terms to one side:
10p + 5 - 10p = 18p - 62 - 10p
This simplifies to:
5 = 8p - 62
Next, we'll add 62 to both sides to isolate the term with p on one side:
5 + 62 = 8p - 62 + 62
This simplifies to:
67 = 8p
Finally, we divide both sides by 8 to solve for p:
[tex]\frac{67}{8} = p[/tex]
In conclusion, the value of p is 8.
write an equation for each line. y intercept of -2,1, x intercept of 3.5
Which rigid transformation does NOT result in reversed orientation of the original image?
A loaf of bread costs $1.79. how much would five loaf costs?
Answer:
8.95
Step-by-step explanation:
Because 1.79x5=8.95 You can look it up too
:)
Factor completely 3y^4 - 2y^2 - 5