1.) You plug a number into the variable x. Then you will solve the equation for h(x) to find the time it takes for the rocket to travel the path given.
Answer:
Step-by-step explanation:
Given that a rocket path is given by
[tex]h(x) = -4x^2 + 16x[/tex]
When it hits the ground h(x) =0
Hence we get
[tex]-4x^2 + 16x=0\\x=0, 4[/tex]
i.e. after 4 minutes the rocket hits the ground
2) Given that
[tex]s(t) = -16t^2 + 48t + 280.[/tex]
We have to find time t when height >280
[tex]s(t) = -16t^2 + 48t + 280>280\\\\t=0, 3[/tex]
Between 0 and 3 seconds the object would be above the building.
Shawn read 3/4 of a chapter of his history book in 1/6 of an hour at this rate how many chapters of his history book can he read in 1 hour explain
A farmer grows two types of grain in his fields. He has a seed budget of $18,000.00 and has spent $8,100.00 to plant wheat seed so far. If barley seed costs $47.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
Answer: There is 211 number of acres of barley the farmer can plant and still be under budget.
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Step-by-step explanation:
Since we have given that
Amount of budget = $18000
Expenses he spent to plant wheat = $8100
So, Total amount for acre is given by
[tex]\$18000-\$8100\\\\=\$9900[/tex]
Cost of each acre to plant = $47.00
So, the maximum number of acres of barley is given by
[tex]\dfrac{9900}{47}\\\\=210.63\\\\=211\ acres[/tex]
Hence, there is 211 number of acres of barley the farmer can plant and still be under budget.
What is the equation of this line? y=12x−2 y=−2 x−2 y=2 x−2 y=−12x−2
Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Answer: Hello there!
Louse bought 114 pounds of roast beef at $2.00 per pound, this means that each one of the 114 pounds cost $2, then the total cost of the roast beef is $2*114 = $228.
For the turkey she bought 212 pounds at a price of $1.50 per pound, with the same reasoning as before, we need to see $1.50*212 = $318
then she spend $228 in roast beef and $318 in turkey, then the total cost is the addition of this two: $228 + $318 = $546.
Write 30 : 84 as a ratio in simplest form
What is the discrimination of 3x^2+6x=2
WHAT IS THE RELATIONSHIP BETWEEN A DOMAIN, RELATION, AND RANGE??????
The relationship between a domain, relation, and range in mathematics is that the domain represents the set of input values, the relation shows the relationship between input and output values, and the range represents the set of output values.
Explanation:In mathematics, "a domain is the set of input values or independent variable in a relation or function". It represents the possible values for the input variable. A relation is a set of ordered pairs that shows the relationship between the input and output values. The range of a relation is the set of output values or dependent variable.
For example, let's consider a relation that relates the ages of students to their heights. The ages of the students would be the domain, the heights would be the range, and the ordered pairs would represent the relationship between age and height.
Learn more about Mathematics here:https://brainly.com/question/27235369
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Convert 5 over 8 to a decimal and tell whether it terminates or repeats.
A. 5.8, a number that terminates
B. 5.8 with a repeating bar over 8, a number that repeats
C. 0.625 with a repeating bar over 625, a number that repeats
D. 0.625, a number that terminates
Answer:
D because 5 over 8 is 0.625 when as a decimal and that means that the number terminates because the number does not repeat
Step-by-step explanation:
hopefully i am right and i do not want brainiest give it to the other guy
help below i think the question that i chose is right but i want a second opinion
while mining Peter found a large metal bar that contains 22 grams of zinc Peter also determined that the bar was 55% zinc what was the total weight of the metal bar in grams
When are two numbers
opposites
4.5+(2×2.5)^2-6=? show work please
Try using P.E.M.D.A.S,it will make the problem much easier:(make sure you do each step in order.)
P:Parenthesis,solve the equation in the parenthesis first.
E:Exponants,solve the exponants,if they're are none,you can skip this step.
M:Multiplication,Multiply any numbers that need to be multiplied.
D:Division,divide,if there is nothing to divide,you may skip this step.
A:Addition,add and solve for a sum.
S:Subtraction,subtract any numbers that need to be subtracdted.
If this did not help or seemed confusing,i strongly suggest you look it up on the internet or ask your teacher about P.E.M.D.A.S,it makes problems much easier to solve. :)
What is 2x + 3y = 1,470 in slope-intercept form? Show your work, please!!
2x+4y=12
y=1/4x-3
what is the solution to the system of equations ?
(-1,8)
(8,-1)
(5,1/2)
(1/2,5)
Answer: The solution of the system of the equation is, (8,-1)
Step-by-step explanation:
Using substitution method
[tex]2x+4y=12[/tex] .......... (1)
[tex]y=\frac{1}{4}x-3[/tex] ......... (2)
Now we are putting equation (2) into equation (1), we get the value of 'x'
[tex]2x+4(\frac{1}{4}x-3)=12[/tex]
[tex]2x+\frac{4}{4}x-4\times 3=12[/tex]
[tex]2x-x=12+12[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now put the value of 'x' in equation (2), we get the value of 'y'
[tex]y=\frac{1}{4}x-3[/tex]
[tex]y=\frac{1}{4}\times 8-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Hence, the correct option is, (8,-1)
The solution to the system of equations is (-1, 8).
Explanation:The given system of equations is:
2x + 4y = 12
y = ⅓x - 3
To find the solution to the system, we can solve it by substitution or elimination method:
Substitution Method:
From the second equation, we have y = ⅓x - 3.Substitute this value of y in the first equation.Replace y with ⅓x - 3 in the first equation: 2x + 4(⅓x - 3) = 12.Distribute 4 to both terms inside the parentheses: 2x + ⅓*4x - 12 = 12.Combine like terms: 2x + ⅓*4x = 12 + 12.Combine like terms: 2x + ⅓*4x = 24.Simplify: 2x + 4/4*x = 24.Simplify: 2x + x = 24.Combine like terms: 3x = 24.Divide both sides by 3 to solve for x: x = 8.Substitute the value of x in the second equation to find y: y = ⅓(8) - 3 = 2 - 3 = -1.Therefore, the solution to the system of equations is (-1, 8).
A number between 67 and 113 that is multiples of 4,6,8
Henry has a bag containing 35 letter tiles some consonants and some vowels He selects a tile without looking and then replaces it if he pull 3 consonants tiles and 4 vowel tiles which is the most likely number of consonant tile in Henry’s bag
31.68 is 45% of what number?
Answer: The required number is 70.4.
Step-by-step explanation: We are given to find the number of which 31.68 is 45%.
Let x be the required number.
Then, according to the given information, we have
[tex]45\%\times x=31.68\\\\\Rightarrow \dfrac{45}{100}\times x=31.68\\\\\Rightarrow x=\dfrac{3168}{45}\\\\\Rightarrow x=70.4.[/tex]
Thus, the required number is 70.4.
Round this number to the nearest 100,000. 7,524,865
write a second inequality withe the same meaning -20 <- s
How is a relationship determined when looking at a scatterplot
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... If the line goes from a high-value on the y-axis down to a high-value on the x-axis, the variables have a negative correlation . A perfect positive correlation is given the value of 1.
Which expression has the same value as 7÷9 over 10
A . 7×10/9
B. 1/7x9/10
C. 7x9/10
D. 1/7x10/9
Answer:
b is right
Step-by-step explanation:
11x-9=108 What is the answer to this equation?
11x-9 = 108
add 9 to both sides:
11x = 117
divide both sides by 11
x = 117 / 11 = 10.63636364
Convert the mixed number to an improper fraction. Enter your answer below, using the slash mark ( / ) as the fraction bar.
3 7/8
Answer:
Saeed's house is 6,000 meters away from Anna's house. How many kilometers apart are their houses?
1 kilometer = 1000 meters
6000 meters / 1000 = 6 kilometers
How far apart in miles are two towns that are 3.25 inches apart on map?
Answer:
so for every .25 in it is 20 miles
3.25 is 13 x .25, so 13 is your answer for the next equation.
Now multiply 13 to 20
13 x 20 = 260
260 miles is your answer
Step-by-step explanation:
Dee is driving home from a conference. The expression 705 – 60h gives the number of miles Dee is from home after driving h hours. Which best represents the meaning of the term 60h?
A. the number of miles Dee drove each hour
B. the number of miles Dee had to drive before she started
C. the number of miles Dee drove in h hours
D. the number of miles Dee had left to drive after driving h hours
The statement that best represents the meaning of the term 60h is:
C. the number of miles Dee drove in h hours
Step-by-step explanation:The expression 705 – 60h gives the number of miles Dee is from home after driving h hours.
This means that initially he is: 705 miles away from the home.
Now, he is travelling at a speed of 60 miles per hour.
This means that the distance he travels in h hours is: 60h miles.
Hence, the correct answer is: Option: C
Inequality solution wuestions
The inverse of a function is a function.
1.) Always
2.)Sometimes
3.) Never
An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs in miles per hour?
Answer: 25 miles per hour
Step-by-step explanation: Since elephant run 1/4 miles in 36 sec
that means in 1 sec elephant runs 1/(4×36) miles
and 1 hour=60×60 sec
that means in 1 hour elephant runs (60×60)/(4×36) miles=25 miles
i.e. elephant runs 25 miles per hour
Alton had $18.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
divide the money he has to spend by the price per jar
18 / 1.14 = 15.79
since he can't buy 0.79 of a jar round your answer down, he can buy 15 jars