6. The quadratic function below models the flight of a model rocket, where
the height, h(t) is in metres, and the time, t is in seconds. What is the initial
height of the rocket before it is launched?
h(t) = -5t² +42t +54

Answers

Answer 1

Answer:

Step-by-step explanation:

The initial height of the rocket before it is launched can be found by evaluating the function h(t) at t=0. To do this, you can substitute 0 for t in the function:

h(0) = -5(0)² + 42(0) + 54

h(0) = 0 + 0 + 54

h(0) = 54

Therefore, the initial height of the rocket before it is launched is 54 meters.

Answer 2

Answer: 54 meters.

Step-by-step explanation: The initial height of the rocket before it is launched is represented by the constant term in the quadratic function, which is 54. This means that the rocket's height at time t = 0 (before it is launched) is 54 meters.

To confirm this, you can plug in t = 0 into the quadratic function to get:

h(0) = -5(0)² + 42(0) + 54 = 54 meters

This means that the initial height of the rocket before it is launched is 54 meters.


Related Questions

a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?

Answers

Given restriction is an example of Time-of-day restrictions

The correct answer is an option (C)

In this question we have been given a friend tells you that tellers

are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.

We need to identify the type of restriction in this example.

We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.

This type of restrictions helps prevent unauthorized access outside that user's normal working hours .

Therefore, given restriction present in this example: Time-of-day restrictions

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The complete question is:

A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday

through Saturday. What is this restriction an example of?

A. User auditing

B. Least privilege

C. Time-of-day restrictions

D. Account verification

The answers are

A. Statement: FDC≈FAB Reason: SAS

B. Statement FDC~FBA Reason: AA

C. Statement FDC≈FBA Reason: SAS

D. Statement FDC~FAB Reason: AA

Can I get an answer as well as how it makes sense?​

Answers

Answer:

Step-by-step explanatihelpson:

is c hope it

Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds

Answers

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

Your answer is B eleven twelfths pounds

11-14) if b to the power x, = 7 and b > 0, then 7 / b must equal which of the following:
a) b to power (x-1)
b) b to power (x+1)
c) 7 to power x

Answers

Answer:

Here is the answer

Step-by-step explanation:

If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).

We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.

If we divide both sides of this equation by b, we get:

7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)

Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).

regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions. true false

Answers

The given statement , regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions is true.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").

In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).

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4
Lee has 6 pygmy goats. Their weights, in kg, are listed below.
32 23 31 28 36
26
Two of the goats wander off and don't return. The remaining 4 goats have a mean
weight of 27.25 kg. Find the weights of the two goats who wandered off.
4
GR

Answers

Answer:

The weight of the two goats is 2.08 kg

Step-by-step explanation:

Total avg

32+23+31+28+36+26 = 176176/6 = 29. 33

Avg of the two goats

29.33 - 27.25 = 2.08 kg

Avg of one goat

2.08 /2 = 1.04 The avg of one goat 1.04kg

If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!

Answers

7 days would be your answer

Explaination, if 3 hens can lay 3 egg is 3 days. Each hen lays 1 egg per day. If there is 7 hens, there will be 7eggs in 7days. Good luck :)

Answer:

3 days

Step-by-step explanation:

answer for ten points!

Answers

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

3/4 of 8 = 6
Good luck and have a good day

how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.

Answers

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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if two vectors are perpendicular to each other, their cross product must be zero.
true
false

Answers

Answer: False

Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.

Find the inverse of the following function. f(x) 8√ x for x > 0

Answers

Inverse function of f(x) 8√ x for x > 0 is  f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.

What is inverse of a function?

In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.

if the original function maps input values to output values, the inverse function maps the output values back to the input values.

To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:

Replace f(x) with y. This gives us y = 8√x for x > 0.

Replace x with f^-1(y). This gives us f^-1(y) = 8√y.

Solve for y. To solve for y, we can square both sides of the equation:

y^2 = (8√y)^2

y^2 = 64y

y^2 - 64y = 0

y(y - 64) = 0

This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.

Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.

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PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.

Answers

Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

Find the slope and the y-intercept.
Then use them to graph the line. -2x + 5y = -15

Answers

Answer:

Step-by-step explanation:

this is easy

Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?

Answers

To have a undefined slope it has to be a vertical line x = -1

Write the answer in the blank.
What number is 280 more than 220?

Answers

Answer: 500

Step-by-step explanation:

280 + 220 is 500

Answer:

The number is 500.

Step-by-step explanation:

Let's assume that,

→ Missing number = x

Forming the equation,

→ x = 220 + 280

Now the value of x will be,

→ x = 220 + 280

→ [ x = 500 ]

Hence, the number is 500.

A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.


Determine the distance between the Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answers

The distance between the Trolley Train and the Silly Slide is 5 units. The  3rd option is the answer

How to determine the distance between the Trolley Train and the Silly Slide?

From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)

The formula for finding the distance between the two points is given as:

d=√(x₂ – x₁)² + (y₂ – y₁))²).

where

x₁ = -2,

y₁ = -6 (Trolley Train)

x₂ = 2

y₂ = -3 (Silly Slide)

d = √((2 – (-2))² + (-3 – (-6))²)

d = √((4)² + (3)²)

d = √25

d = 5 units

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the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answers

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

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Please help me with my geometry work

Answers

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.

What is a straight line?

An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.

Definition of angle bisector.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.

The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.

m∠2 =  40°  the reason is YZ is the angle bisector of ∠s

∠s = m∠2  + m∠3  

m∠2  = m∠3

therefore m∠2 =  40°

m∠1  + m∠2 +  m∠3  + m∠4 = 180° the reason is XYQ is the straight line.

substitution of all values

m∠1  + 40° +  25° + 40° = 180°

m∠1  + 105° = 180°

m∠1 =  75°  (straight line, substitution of all values )

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A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.

Answers

Answer: 99.


If you take 275 and subtract it by 176, it should be 99, if I’m correct.

This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph

Answers

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

How to define the function?


The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

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Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.

Answers

What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

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Is this statement true or false?

Answers

TRUE: The given condition is correct that m ≤ 10 and m > 4.

Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

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Write a recursive formula for an, the nth term of the sequence 2,-6,18,-54

Answers

Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:

a(n) = (-3) * a(n-1)

where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.

This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.

This recursive formula can be used to calculate the nth term of the sequence for any value of n.

pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x​

Answers

Answer:

y=7x

Step-by-step explanation:

If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?

A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |

Answers

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!

Answers

Answer:

-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?

Answers

Answer:

The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Step-by-step explanation:

To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.

To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.

Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

if anyone can help me solve this i will give you 20 points!!

Answers

Answer:137

Step-by-step explanation:

The answer is 137 because you divide 548 by 4.

Select the correct answer from each drop-down menu. circle a has diameters ef and ih intersecting approximately at 90 degrees, radius ad with point d lies on minor arc hf, and chord bc intersecting diameter ef near point e at a right angle. point a is the center of this circle. the ratio of the lengths of and is 2 : 1.

Answers

Answer:EF to AD

Step-by-step explanation:

Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?

Answers

Just for your information, 13 is lowest, 16 is highest, therefore starting and ending points of the graph. To best identify the plot, make iqr interquartile range consisting of minimum value, q1, q2, q3 and maximum value.

The box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.

Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.

Here, minimum is 13

Maximum is 16

Median is 14

Lower quartile range(Q1) is 13.5

Upper quartile range(Q3) is 15.5

Therefore, the box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

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Without planning an enterprie would oon diintegrate, it action would be a random a leave campering before an autumn wind, and it employee a confued a ant in an upturned ant hill" NO LINKS!! Please help me with this problem. Part 1gg entrepreneurial new entry is often perceived as a competitive threat because most market needs are not being met, either directly or indirectly, by an existing firm. Treasury regulation 1.6695-2 presents a standard for when you must make additional inquiries to meet due diligence requirements. T/F After making a fortune in this industry, the Welser family was briefly granted colonial rights to Venezuela by Charles V. During the 15th century, several colonies in the Black Sea were governed by a Genoan firm in this industry named after Saint George. An early variation of this industry emerged when the Knights Templar began issuing special letters to pilgrims. In the 16th century, Europe's copper trade was monopolized by a member of this industry named Jakob (YAH-kop) the (*) malika is seeing a therapist about extreme depression. during her first session, the therapist explains to her that she likes to combine psychoanalysis, cognitive behavioral therapy, and interpersonal psychotherapy to treat her clients. malika's therapist appears to adhere to psychotherapy. which is a major difference between what we've seen in discovered exoplanets and our own solar system? to encourage members of the marketing team to be alert for any marketing opportunity, riff frequently tells them about the time he gave a new store jacket to a local celebrity after her own jacket was torn. for the rest of the day, the celebrity wore the jacket, which prominently displayed the store's name. this is an example of a: which of the following is not an exception to the employment-at-will doctrine? multiple choice public policy implied-contract occupational safety and health administration all of these are exceptions to the employment-at-will doctrine implied covenant of good and fair dealing Which equation is equivalent to 1\5x-3-2\3 The tendency to overestimate the influence of internal factors in determining behavior while underestimating situational factors is called the ___________________. Solve for p: 3+ 10p - 8p = 17 the equal employment opportunity commission (eeoc) has completed its investigation regarding jeremiah's discrimination case against his employer. if the eeoc decides not to sue his employer, it will issue jeremiah a . What profession did poes mother have before she died of tuberculosis? According to Yalom, the concern(s) that make(s) up the core of existential psychodynamics is/are:(a) death.(b) freedom.(c) isolation.(d) meaninglessness.(e) Correct all of these options every morning, ms. santos dictates a vocabulary word, including its spelling, meaning, and an example of it used in a sentence. which teaching method does this best illustrate? calculate the eccentricity for the planet if the distance between foci is 5,000,000 km and the distance of the major axis is 299,000,000 km. 1. $3.96 x 52. 0.023 x 403. 0.67 x 614. $19.99 x 65. 0.13 x 576. 0.041 x 15 if we want to see what galaxies looked like at a time close to the beginning of the universe, where should we look? SAL PREPARES HIS FINANCIAL STATEMENTS USING STRAIGHT LINE DEPRECIATION. SAL FILES HIS TAX RETURN USING MACRS.MACHINE DEPRECIABLE BASIS 336,000 LIFE 5 YEARS SALVAGE VALUE 0DATE PLACED IN SERVICE APRIL 1, YEAR 1DATE SOLD JAN 1, YEAR 4 SALES PRICE 127,000 REQUIRED: WHAT IS THE LOSS ON SALE FOR FINANCIAL STATEMENT PURPOSES RECORDED ON JANUARY 1, YEAR 4? (DO NOT ROUND) (INSERT THE AMOUNT ONLY) REQUIRED: WHAT IS THE GAIN ON SALE FOR TAX PURPOSES RECORDED ON JANUARY 1, YEAR 4? (DO NOT ROUND) (INSERT THE AMOUNT ONLY) (INSERT THE AMOUNT ONLY) REQUIRED: WHAT IS THE GAIN ON SALE FOR TAX PURPOSES RECORDED ON JANUARY 1, YEAR 4? (DO NOT ROUND) (INSERT THE AMOUNT ONLY)REQUIRED: WHAT IS SAL'S YEAR 4 M-1 ADJUSTMENT RELATED TO THE SALE? (DO NOT ROUND) (INSERT THE AMOUNT ONLY) REQUIRED: WHAT IS THE NET BOOK VALUE OF THE MACHINE FOR TAX PURPOSES AT DECEMBER 31, YEAR 2?