The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:
[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 16t^2 = 400t}[/tex]
Divide both sides by 16t
[tex]\mathbf{ t = 25}[/tex]
Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
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What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
Match the Vocab Word to the definition.
Remember, you are allowed to use your notes to help you!
Question 1 options:
Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn
Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.
A letter or symbol that represents a value.
It's a number on its own, it has a fixed value.
The number in front of a variable.
1.
Distributive Property
2.
Term
3.
Variable
4.
Constant
5.
Coefficient
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
What is 1/16 divided by 3
Hello angeltomlin!
[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]
Steps :
Our question is 1/16/3.To do this, at first, we need to bring 16 to the denominator along with 3.1/16 × 3 = 1/48So, our answer is 1/48 which is aproximately equal to 0.0208.Refer to the attached picture if the steps are not clear.
____________
Lucazz
A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.
Answer:
the height of nick is 1.46
Step-by-step explanation:
because to change cm into m we need to divide it by 100so 18/100is 0.18
and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height
Answer:
1.46
Step-by-step explanation:
1.64 to cm is 164
164-18 = 146
146 to meters is 1.46
Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28
Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
Find the value of x. Th angles on a triangle .Please explain your method.
The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.
A)[tex]\sf x+125^{\circ}+80^{\circ}=180\\\\\\\sf x+205=180\\\\\\\sf x=180-205\\\\\\\boxed{\sf x=-25^{\circ}}[/tex]B)[tex]\sf x+68^{\circ}+318^{\circ}=180\\\\\\\sf x+386=180\\\\\\\sf x=180-386\\\\\\\boxed{\sf x=-206^{\circ}}[/tex]Okay?!What is the slope of this graph?
Answer:
-3
Step-by-step explanation:
1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.
2. (Solving)
[tex]\frac{0-6}{3-1}[/tex] [tex]\frac{-6}{2}[/tex] [tex]-3[/tex]Therefore, the slope is -3.
describe fully the single transformation that maps triangle A onto triangle B.
Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C
Answer:
1. Loss ₹50
2. - 60
3. 50 km towards North
4. 1000
5. - 30
6. - 15° C
I need to know the answer to this question
LIE
TRUTH
TRUTH
THE DETAILED ANSWER IS IN THE IMAGE ATTACHED.
HOPE IT HELPS YOU......
PLEASE MARK AS BRAINLLIEST!!!
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Can some one please help me please
Answer:
j(10) (÷} =÷9
so let's check 89÷9= 9
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Please help x
Answer:
SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:
Find the distance between the points
a. 4
b. 5
c. 6
d. 7
Answer:
b. 5
Step-by-step explanation:
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?
Answer:
$47.50
Step-by-step explanation:
75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50
3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?
Answer:
x = 10
y = 1
DE = 7
AC = 14
Step-by-step explanation:
x + 2 = 24/2
x = 12 - 2
x = 10
y + 6 = x - 3
y = 10 - 3 - 6
y = 1
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.
Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.
We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
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5-(-5) please i need a answer ASAP
Answer:
10.
Step-by-step explanation:
If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.
Hey there!
GUIDE:
2 negatives = positive
2 positives = positive
1 negative & 1 positive = negative
1 positive & 1 negative = negative
Negatives are BELOW 0 and they are to the LEFT of 0
Positives are ABOVE 0 and they are to the RIGHT of 0
ANSWERING the QUESTION
5 - (-5)
= 5 + 5
= 10
Therefore, your answer is: 10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
Does anyone get this?
Dilation is the transformation that changes the size of a shape.
4 is a positive number so the shape will increase in size.
So after dilating every side by 4:
0,1
-0.5,0
1,0
We get
0,4
-2,0
4,0
Solve for x
9(x + 5) = -9
Answer:
x = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9(x+5)=−9
(9)(x)+(9)(5)=−9(Distribute)
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 9.
Hello there! :)
9(x+5)=-9
Use the Distributive Property:
9(x+5)=-9
9x+45=-9
9x=-9-45
9x=-54
Divide both sides by 9:
x=-6
Hope it helps you! :) Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
What is the slope of the graph?
Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?
Answer:
In my opinion he spent 55%
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation: