The values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
A model rocket is launched with an initial upward velocity of 201ft/s.
The rocket's height h (in feet) after t seconds is given by the following:
h = 201t -16t²
The above equation is parabolic.
Plug h = 93 feet
93 = 201t - 16t²
16t² - 201t + 93 = 0
After solving with the quadratic formula:
[tex]\rm t_{1,\:2}=\dfrac{201\pm \sqrt{201^2-4\left(16\right)\left(93\right)}}{2\left(16\right)}[/tex]
t = 0.481, 12.081
or
t = 0.48, 12.08 secods
Thus, the values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
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Find tan θ if sec θ = (sqrt26)/5 and sin θ < 0.
True or False?
(a^4)(a^5) = (a)^9
please helpppppp!!!!!
How far does the first car will drive in the 2 hours head start it gets? Now, at t = 2 hours, both cars are moving. How much faster is the second car than the first car? You can determine this by dividing the head start by the difference in the two speeds. If car 1 has a 20-mile head start, and car two is five mph faster, then it will take 20/5 = 4 hours to catch up.
how do you find the equation of a triangles altitude using point slope formula?
Which statement is an example of the Identity Property of Multiplication?
8 • 0 = 0
8 • 1 = 8
8 • –1 = –8
–8 • –1 = 8
Option 2 - 8 x 1 = 8 is the correct alternative.
We have the options as mentioned in the question.
We have to determine which is an example of Identity Property of Multiplication.
What is Identity Property of Multiplication ?The identity property of multiplication says that the product of 1 and any number is that number.
According to the question -
Using the Identity Property of Multiplication -
8 x 1 = 8
Hence, Option 2 is the correct alternative.
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Change this radical to an algebraic expression with fractional exponents.
√x^3
Final answer:
To express[tex]\(\sqrt{x^3}\)[/tex] as a fractional exponent, it is rewritten as[tex]\(x^{\frac{3}{2}}\),[/tex] correlating the square root operation to the power of \[tex](\frac{1}{2}\)[/tex]and multiplying by the exponent 3.
Explanation:
To change the radical[tex]\(\sqrt{x^3}\)[/tex]to an algebraic expression with fractional exponents, we can use the property that any root can be expressed as a power with a fractional exponent. The square root of a variable to some power can be represented by raising the variable to the power of half the original exponent.
In this case,[tex]\(\sqrt{x^3}\)[/tex]can be written as [tex]\(x^{\frac{3}{2}}\).[/tex] This is because the square root operation is equivalent to raising to the power of[tex]\(\frac{1}{2}\),[/tex] and when we multiply the exponents [tex]\(3 \times \frac{1}{2}\),[/tex] we get[tex]\(\frac{3}{2}\).[/tex]
Each of the 25 student in mr mcdounld class sold 16 tickets if each ticket costs15$ how much money did the students raise
Divide 456 by 28 and write the answer
A. As a mixed number
B. As a decimal rounded to teo decimal places
C. Rounded to the nearest whole number
(Please look at answers below and tell me if correct or if wrong how to fix it)
...?
The results of the expression are 8 2/7 ; 16.286 and 16 respectively.
Using the expression given :
456 / 28Now we divide:
A.)
456 / 28 = 16 remainder 8
Now we have :
8 8/28
= 8 2/7
B.)
As a decimal :
456 / 28
= 16.286
C.)
Rounded to the nearest whole number:
456 / 28
= 16.286
≈ 16
Final answer:
To divide 456 by 28: as a mixed number is 16 2/7, as a decimal rounded to two places is 16.29, and to the nearest whole number is 16.
Explanation:
To divide 456 by 28, we start by performing the division to find the quotient and the remainder. Firstly, 456 divided by 28 equals 16 with a remainder of 8.
Answering the three parts:
A. As a mixed number, we have 16 and 8/28. Simplifying the fraction 8/28 to its lowest terms, we get 2/7. Thus, the mixed number is 16 2/7.B. To express the quotient as a decimal rounded to two decimal places, 456 divided by 28 equals approximately 16.29.C. The quotient, rounded to the nearest whole number, is 16.The information provided seems to be examples of rounding and significant figures from various arithmetic operations but does not directly relate to the division of 456 by 28, which is our primary focus. Please note that while rounding to the nearest whole number or to two decimal places, it's important to correctly evaluate the quotient that the specific calculation yields.
Simplify the expression
sin(pi+x) + sin(pi - x)
...?
Eugenia wants to find out how fast she walked along the hiking trail that took her 1.5 h to complete. She counted the number of steps with a pedometer and got 10000 steps. in order to calculate the distance she walked she estimated the length of her stride. she walked 10 steps three times at her usual rate and measured the distance with a measuring tape (the smallest division is 1cm) and got 745cm, 748 cm, 739 cm. Find the length of her stride. What is the length of the hiking trail? What are absolute and relative uncertainties in that length?
write an equation in point slope form for the line through the given point with the given slope
(8,3) m =5
A. Y+3=5(x-8)
B. Y+3=5x-8
C.y-3=5(x-8)
D.y-3=5(x+8)
Option C is correct, y-3=5(x-8) is the equation in point slope form for the line through the given point with the given slope
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The point slope form of a line is y-y₁=m(x-x₁)
We need to find equation in point slope form for the line through the given point (8,3) with the given slope m =5
y-3=5(x-8)
Hence, option C is correct, y-3=5(x-8) is the equation in point slope form for the line through the given point with the given slope
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How do you solve (a^3b)^4(ab^6)^2?
5(x+2)= -2(x+9) equals?
mBAC = 22.21°
mABC = 137.67°
mBCA = 20.12°
Classify the triangle by its angles
B is the midpoint of AC. Solve for the length of AB if AB=5x+3 and BC=7x+9
Jose has had his eye on a pair of basketball shoes at a shoe store for a long time, but at a price of $150, the shoes have always been a little bit more than his budget could handle. However, today he saw a sign in the window that said, "Basketball Shoes – 20% off." Which type of discount is this?
A. A sale
B. A coupon
C. A rebate
D. A gift card
This type of a discount is:
A. A sale
Step-by-step explanation:Sale--
A sale is a transaction between two parties one is a buyer and other is seller in which the goods or services are provided by the seller at a lower rate as compared to the normal price of it.
The price so lowered is known as a discounted price and the price at which the item is to be sold is known as a sale price.
Here the store is keeping the basketball shoes at a sale which is displayed on window as:
"Basketball Shoes – 20% off."
Hence, the correct option is: Option: A
A. A sale
Find the sum of 86, 331, and 909.
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p equals negative 0.5 x squared plus 36 x minus 141p=−0.5x 2+36x−141 models the profit of the fundraiser. What's the smallest amount in dollars that you can charge and make a profit of at least $471?
Write 6 ×10000 5×1000 2×100 3×1 as a number.
Solve the equation
x^2 + 5x + 4 = 0
Step-by-step explanation:
answer:
x^2 + 5x + 4 = 0
x²+4x+x+4=0
x(x+4)+1(x+4)=0
(x+4)(x+1)=0 is your answer
Write3/4 3/6 1/3 and 2/12 from least to greatest
Solve the problem. Round to the nearest hundredth of a percent if needed. During clinical trials of a new drug intended to reduce the risk of heart attack, the following data indicate the occurrence of adverse reactions among 1100 adult male trial members. What is the probability that an adult male using the drug will experience nausea?
A. 2.02%
B. 1.73%
C. 27.59%
D. 2.18%
describe how to draw a line that passes through the origin and has a slope of 3/5
What's the account balance after 6 years when you invest$1600 with interest rate of 6.5% compounded continuously
Answer:the answer is the one given below, you need to use A=Pe^rt
Step-by-step explanation:
P= amount of money invested
r=interest rate percentage in decimal form
t=time in years
A=total money in account ️
A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An observer on the opposite side of the river measures an angle of 9° between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole.
What is 20x346 equal ??
Divide 28x3 + 42x2 - 35x by 7x
Find x and y. Remember that a + bi = c + di exactly when a = c and b = d. 8 = (4+8i)(x+yi)
Factor 5x^3 40x^2 - 100x
A model is made of a car. The car is 8 FEET long and the model is 10 INCHES long. What is the ratio of the length of the car to the length of the model? a)10:8 b)48:5 c)5:48 d)8:10
Answer:
8:10
Step-by-step explanation: