A stuntwoman jumps from a building 73ft high and lands on an air bag that is 9ft tall. Her height above ground h in feet can be modeled by h (t) = 73 – 16 t^2, where t is the time in seconds.
a. How many seconds will the stuntwoman fall before touching the air bag? (Hint: Find the time t when the stuntwoman’s height above ground is 9 ft.)
Determine the x- and y-intercepts of the graph of y=−12x−4 . Then plot the intercepts to graph the equation.
Answer:
X-Intercept: [tex]\frac{4}{-12}[/tex]
Y-Intercept: -4
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
The X and Y intercepts show at what points the function values cross the X and Y axis. We can solve for the X-intercept by substituting the value of y for 0 and then solving for x. Like so...
[tex]0=-12x-4[/tex] .... add 4 on both sides
[tex]4=-12x[/tex] ... divide both sides by -12
[tex]\frac{4}{-12}[/tex] = -x
Now we can see that the X-Intercept is [tex]\frac{4}{-12}[/tex] . Now we substitute 0 for x and solve for the Y-intercept.
[tex]y=-12(0)-4[/tex]
[tex]y= -4[/tex]
Finally we can see that the Y-intercept is -4
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?
To determine how many gallons Hanks' pickup will need to travel 26 miles, a proportional relationship was used based on the known mileage of traveling 52 miles on 4 gallons. The calculation revealed that 2 gallons of gas will be needed for the 26-mile journey.
Explanation:The student's question about fuel consumption can be solved using a simple proportional relationship. Since Hanks' pickup can travel 52 miles on 4 gallons of gas, we can find out how many gallons will be necessary to travel half of that distance, which is 26 miles. By setting up a proportion, we can find the answer.
Steps to solve the problem:
Identify the known relationship between distance and gallons of gas: 52 miles = 4 gallons.Set up a proportion to find out how many gallons are needed for 26 miles, knowing that the relationship should remain constant: (52 miles / 4 gallons) = (26 miles / x gallons).Solve for x by cross multiplying: 52x = 4 * 26.Calculate the value of x: x = (4 * 26) / 52.Simplify to find the number of gallons needed: x = 2 gallons.Therefore, Hanks' pickup will need 2 gallons of gas to travel 26 miles.
The pickup truck will need 2 gallons of gas to travel 26 miles.
Explanation:To find out how many gallons the pickup will need to travel 26 miles, we can set up a proportion using the given information.
Since the pickup can travel 52 miles on 4 gallons of gas, the rate of miles per gallon is 52 miles/4 gallons = 13 miles/gallon.
Using this rate, we can set up the proportion: 13 miles/gallon = 26 miles/x gallons. Solving for x, we can cross multiply and divide: 13x = 26 * 1, x = 26/13 = 2.
Therefore, the truck will need 2 gallons of gas to travel 26 miles.
Which of the following numbers is classified as an irrational number?
A.) Square root of 72
B.) 7.444444
C.) -3
D.) -1/20
Find the lowest common denominator of and . A. (p + 2) B. (p + 5)(p + 3) C. (p + 5)(p + 2)(p + 3) D. (p + 2)2
An angle is a right angle if and only if the measure of the angle is 90°. True or false?
Devon’s price is a high school teacher and soccer coach his annual salary is 37,440 What is his Biweekly salary
How to do this exponent and simply and having positive exponents
To multiply exponentials, multiply the base numbers and add exponents. Adjust the format to have one digit before the decimal, if necessary. To divide, divide the base numbers and subtract the exponents.
Explanation:To deal with the multiplication of exponentials, simply multiply the base numbers (digits) as you normally would, and then add the exponents. Remember to keep the result in the acceptable form, meaning that for a number like 2.4×10⁴, there should be only one digit to the left of the decimal point. To handle negative exponents, add them as usual, and adjust the exponent to maintain a positive value. For dividing exponentials, you divide the base numbers and subtract the exponents.
Here's a step-by-step example for multiplication: Suppose you have 5.1×10³ and 4.2×10⁴. You multiply the base numbers to get 21.42, and then add the exponents (3+4) to get 7, which gives you 21.42×10⁷. To adjust the number to proper form, you would change it to 2.142×10⁸. For squaring an exponential like 3×10², you'd square the 3 to get 9 and multiply the exponent by 2 to get 4, leading to 9×10⁴.
When squaring exponential terms, square the digit term and multiply the exponent by 2. For instance, (2×10²)² equals 4×10⁴. And remember, any number to the power of zero equals one, as 0 exponent implies no multiplication of the base number, leaving us with the implicit base of multiplication which is 1.
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are diamonds
Is this increasing decreasing or constant F(x)=3x
One less than twice a number is greater than 7 and less than 13. Write a compound inequality to represent this and solve to find the solution set.
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
1st number = x
2nd number = x-4
3rd number = 4x
now you have x + x-4 +4x = 62
combine like terms
6x-4 = 62
add 4 to each side
6x = 66
divide both sides by 6
x = 66/6 = 11
1st number = 11
2nd number = 11-4 = 7
3rd number = 4*11 = 44
11+7+44 = 62
complete the next three terms in the pattern below
What is the quotient of (7^-1/7^-2)?
Answer:
7^1 = 7
Step-by-step explanation:
we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]
The exponents are in division
When the base of exponents are same and exponents are in division then we subtract the exponents
We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]
N the ideal normal curve, 95% of the population falls within _____ standard deviation(s) of the mean. a. one b. two c. three d. four
Anyone wanna help teach me how to do any of this or just give me the answers if you don't wanna teach me
just replace the value in the appropriate equation:
a) says f(-2)
so use the f equation above it and replace x with -2
f(x) = 3x-5 becomes f(-2) = 3x-5 =
3(-2)-5 = -6-5 = -11
for b use the equation for h and replace x with -5
so x^2 - 6 = -5^2 - 6 = -31
for c use the equation for g and replace x with (a+b)
-7x+3 =
-7(a+b)+3 = -7a-7b+3
how many thousands go into 90 hundreds
90 hundreds = 90 * 100 = 9000
9000 = 9 thousands
Find an equation for the nth term of the arithmetic sequence.
a16 = 21, a17 = -1
an = 351 + 22(n + 1)
an = 351 - 22(n + 1)
an = 351 + 22(n - 1)
an = 351 - 22(n - 1)
Answer:d
Step-by-step explanation:test
three times the square of a non-zero number is equal to fifteen times the number.. what is the number?
Which expression is equal to 2√ -32 ? 8i√2 −8√2 8√2i −8i√2
the first one is the answer
Final answer:
The expression 2√ -32 is equal to 8i√2
Explanation:
To find an expression equal to 2√ -32, we need to recall that the square root of a negative number involves an imaginary unit i. The square root of -1 is defined as i. Thus, we can rewrite the expression as:
2√ -32 = 2√(-1 × 32) = 2√(-1)√(32) = 2i√(16 × 2) = 2i × 4√2 = 8i√2.
which is found by using the property that the square root of -1 is the imaginary unit i.
This demonstrates that the correct expression equivalent to the original one is 8i√2.
Simplify the following expression 5^2-4/5+2
To simplify the expression 5^2-4/5+2, we first simplify the exponent, divide 4 by 5, and add the results together to get 129/5 or 25.8.
Explanation:To simplify the expression 5^2-4/5+2, we need to follow the order of operations which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Using PEMDAS, we first simplify the exponent, so 5^2 = 5 x 5 = 25.
Next, we divide 4 by 5 to get 4/5.
Finally, we add 25 and 4/5 which can be written as 25 + 4/5. To add these two fractions, we need a common denominator which is 5. Converting 25 into a fraction with a denominator of 5 gives us 125/5. Adding 125/5 and 4/5 gives a result of 129/5. Therefore, the simplified expression is 129/5 or 25.8.
how far will a bus travel if it averages a sped of 65 km/h for 7 hours?
The bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
The speed of the bus = 65 km/h
The time taken = 7 hours
As we know,
The formula for finding the distance is given:
Distance = time×speed
Distance = 7x65
Distance = 455 km
Thus, the bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.
Learn more about the distance here:
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Simplify 3^5/3^2.
I do have a basic understanding but I need help on this.
What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?
helppppppppppppp maTHHHH
evaluate this piecewise function at x=-4 and x=4
A home file is the place where you should keep financial records that you may need to access regularly? True or False
The function c = 2.50(n – 2) + 4.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A/Each invitation costs $4.50 to print.
B/The cost depends on the number of invitations printed.
C/For each additional invitation, it costs an extra $2.50 to print.
D/One cannot print just one invitation.
The equation c = 2.50(n - 2) + 4.50 represents the cost of printing n invitations, with $4.50 being a fixed cost and $2.50 as the additional cost per invitation after the first two. Thus, the statement that A. each invitation costs $4.50 to print is not true.
The function in question, c = 2.50(n – 2) + 4.50, represents the total cost c of printing n invitations. To determine which of the provided statements is not true, we can analyze the components of the equation:
4.50 is a fixed cost, indicating a base charge that is applied regardless of the number of invitations printed.The term 2.50(n – 2) shows that each additional invitation, beyond the first two, incurs a variable cost of $2.50.Analyzing the provided options:
Each invitation costs $4.50 to print. This statement is false, as the $4.50 in the equation is a fixed cost and not reflective of the individual cost per invitation.The cost depends on the number of invitations printed. This is true as the cost increases with each additional invitation after the first two.For each additional invitation, it costs an extra $2.50 to print. This is true given the variable cost component of the equation.One cannot print just one invitation. There is nothing in the equation that inherently prevents printing one invitation, so this statement is true.Therefore, the answer to the student's question is option A: Each invitation costs $4.50 to print is not true.
is 8π rational or irrational number?
Use the distributive property to simplify the expression. 8(3x + 4)
Answer:
24x + 32
Step-by-step explanation:
Answer:
24x+32
Step-by-step explanation:
trust
When maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.50 s. how many meters before a stop sign must she apply her brakes in order to stop at the sign?