Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?
Answer:
Finding the 6th term is really easy, we can simply double two more times to get 5, 10, 20, 40, 80, 160.
Step-by-step explanation:
1. Triangle ABC is similar to XYZ
24 cm
6 cm
30 cm
7.5 cm
18 cm
8
What is the value of n in centimeters?
A. 9 cm
B. 4.5 cm
C. 3 cm
D. 12 cm
Answer:
A, 4.5
Step-by-step explanation:
6^2 + n^2 = 7.25^2
36 + n^2 = 56.25
56.25 - 36 = 20.25
√20.25 = 4.5
Find the surface area!
Thank you!!
Answer:
[tex]SA= 720 m^2[/tex]
Step-by-step explanation:
[tex]x=\sqrt{5^2+12^2}=13m[/tex]
[tex]AS=2*1/2*12+12*22+5*22+13*22[/tex]
[tex]= 60+264+110+13*22[/tex]
[tex]AS= 720m^2[/tex]
⋆┈┈｡ﾟ❃ུ۪ ❀ུ۪ ❁ུ۪ ❃ུ۪ ❀ུ۪ ﾟ｡┈┈⋆
hope it helps...
have a great day!!
Answer:
SA=720m^2
Step-by-step explanation:
hope it helps you ..
En aquest moment, la diferència de preu entre dos cotxes és de 987€. Quina serà la nova diferència si el model més car disminueix 50€ en el preu i el més econòmic augmenta en 200€?
Answer:
Step-by-step explanation:
You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft
Answer:
2ft
Step-by-step explanation:
The width of the box is 2 ft.
Here,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
We have to find the width of box.
What is Volume of box?
The volume of box is defined as, the multiply of length, width, height.
Now,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
Since, Volume of box = Length x width x height
Let width of box is x ft.
Volume of box = 2 * x * 4
16 = 8x
x = 2
Hence, The width of the box is 2 ft.
Learn more about the volume visit:
https://brainly.com/question/15102472
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The diameter of a circle is 11 ft. Find its area to the nearest tenth.
Answer:
95.0 ft²
Step-by-step explanation:
r = d/2
r = 11/2
r = 5.5
Area of circle formula
a = πr^2
a = π (5.5)²
a = 3.14 * 30.25
a = 94.985
Rounded
a = 95.0
I'm not sure if it's correct but it might 95.03^2ft
Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the measure of angle ACB? Explain/show your reasoning.
Answer:
Step-by-step explanation:
BC is tangent to the circle at point B.
is this equation have a solution or not
y = [tex]\frac{3}{4}[/tex] x
3x - 4y = 0
Answer:
No solution.
Step-by-step explanation:
y + 3x - 4y = 0 + 0.75x
- 3y + 3x = 0 + 0.75x
- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x
- 3y + 2.25x = 0
Find the missing number and thank for answer
Answer:
15
Step-by-step explanation:
Hope this helps
add 12 and 3 and you get 15
multiply 8 and 5 and you get 40
subtract 40 from 15 you get 24
yeeeeeeeeeeeeeeee
perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$
HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!
Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more of her classmates like tacos as compared to her relatives?
Answer:
48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9
Step-by-step explanation:
Another one, almost done!
Answer:
it's black
Step-by-step explanation:
I can't see the question.
Solve each system by elimination.
3) -4x+6y=-14
4x – 8y = 16
A) (2, -1)
B) (-1,2)
C) (4,1) D) (2, 1)
Answer:
M=2/3
m=1/2
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
please help me with my maths prep...........
Answer:
uumm
Step-by-step explanation:
In the figure shown above, all the comers form right angles. What is the area of the figure in square units?
A. 31 square units
B. 62 square units
C. 102 square units
D. 120 square
Answer:
D. 120 squared
Step-by-step explanation:
l-Ready
» Put gold bars into the machine to
produce exactly 21 gold cats.
Tap the reset button to start over.
cey Car
Go
Answer:
Step-by-step explanation:
Lee is buying roses. If each rose costs $2, which equation does not describe how many roses Lee might buy for $24?
Answer:
[tex](a)\ y = 2x[/tex]
[tex](b)\ x= 12[/tex]
Step-by-step explanation:
Given
[tex]rose = \$2[/tex]
Solving (a): The equation
Let
y = total amount
x = number of roses
So:
If [tex]x = 1, y = 2[/tex]
If x = x.
[tex]y = 2* x[/tex]
[tex]y = 2x[/tex]
Solving (a): Number of roses for $24
This implies that
[tex]y = 24[/tex]
So:
[tex]y = 2x[/tex]
[tex]24 = 2x[/tex]
Divide both sides by 2
[tex]12 = x[/tex]
[tex]x = 12[/tex]
1/2 lbs of flour is put in a jar. If it fills 2/5 of the jar, what quantity of flour can jar?
Answer:
1 1/4 pounds
Step-by-step explanation:
1/2 ÷ 2/5 = 5/4
y = -2/3x+ 4
IN STANDARD FORM
Answer:
4x−5y=−10 hopefully this helps
Answer:
2x+3y = 12
Step-by-step explanation:
multiply 3 and 4
multiply -2 by -x
multiply y and 3
Summary:
2x+2y = 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help with this using the chain rule
Answer:
a is the answer
Step-by-step explanation:
y = ( x^2 +2x+ 5 )^6,
let u be equal to x^2 + 2x + 5
y = u^6 '
dy|du = 6u^5, du|dx = 2x + 2
dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )
= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5
A museum announces that it has just had its 1.326,871 visitor. What is the value of the digit 6 in 1.326,871?
Answer:
1,000
Step-by-step explanation:
i to the test djdjsjsjsj
Use the data set and line plot below. How many feathers are
2
1
4
inches or shorter?
A data set titled
A line plot named
A.
8
B.
12
C.
15
D.
5
Answer:
The answer is B
I hope help you
Answer:
the correct answer for this equaction is B i think hope this helps!..
Step-by-step explanation:
Noah saw some worms in his garden. He measured the length of each worm.
How many worms were longer than 3 inches?
Answer:
9 worms are longer than 3 inches
Step-by-step explanation:
you can just count how many are in in the rows after 3 and that is your answer
find the length of side x in simplest radical form with a rational denominator
Answer:
7
Step-by-step explanation
i did this
A school has an equal amount of boys and girls. You use a coin to simulate the first three students to arrive at school each day, where "heads" represents a boy and "tails" represents a girl. The table below shows a sample of 20 coin tosses
Find the the experimental probability that the first three students that arrive at school are boys.
No links please! I will reward brainliest for the correct answer. Thanks.
Answer:3/20
Step-by-step explanation:
Heads=Boy
Tails=Girl
If the first 3 students are boys, all 3 coins must be heads.
Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.
can ace and expert help me
Answer:
D
Step-by-step explanation:
math also i gtg cya :D
PLS HELP
Two students are comparing scientific experiments to investigations. They came up with the following ideas.
Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year
Which student gave an example of a scientific experiment?
Student A because it requires experimental and control groups
Student B because it requires a hypothesis
Student A because it is preferably done in natural settings
Student B because it is preferably done across a long period of time
Answer:
a
Step-by-step explanation:
A because it requires experimental and control groups
780 is what percent of 540?
Answer:
144.44%
Step-by-step explanation:
780/540 = 1.44444 * 100 (for each percent) = 144.44 %
Answer:
69.23
Step-by-step explanation:
Hope This helped!
Every morning Nora makes five gallons of her refreshing lemonade. Each order of lemonade is exactly one cup.
How many cups of lemonade can she sell each day before she runs out?
Answer:
80 cups
I had writtened 80 cups then thought i was wrong.
sorry.
Step-by-step explanation:
Answer:
Step-by-step explanation:
16 US cups are in 1 US gallon. So 16x5 =50