Answer:
The rocket is at 40 feet after 7.77 seconds.
Step-by-step explanation:
[tex]h(t) = -16t^{2} + 128t + 12\\40= -16t^{2} + 128t + 12\\16t^{2} - 128t + 28 = 0\\4(4t^{2} - 32t + 7) = 0\\[/tex]
We use the quadratic formula to solve for t.
[tex]t=\frac{32+\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32+\sqrt{1024-112} }{8}\\t=\frac{32+\sqrt{912} }{8}\\t=4+\frac{\sqrt{57} }{2}\\t=\frac{32-\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32-\sqrt{1024-112} }{8}\\t=\frac{32-\sqrt{912} }{8}\\t=4-\frac{\sqrt{57} }{2}[/tex]
We take the positive answer which is 7.77
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)
8x+12=4(3+2x)
Show your work please
Answer:
8x + 12 = 12 + 8x
0 = 0
Step-by-step explanation:
Distribute then simplify
Answer:
0x=0
Step-by-step explanation:
8x+12=12+8x
-12 -12
_____________
8x=8x+0
-8x -8x
_____________
0x=0
0=0
Hope this helps :D
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answer:
7u, U times 7, and 3u + 4u.
A 3 1/2(mixed number 3 and 1/2) pound container of tomatoes is used to
make salsa. How many containers of salsa can be made if one
container uses 2/3 a pound of tomatoes?
(The picture has the answers)
Answer:
C
Step-by-step explanation:
Total amount of tomatoes ÷ one container of tomatoes = No. of salsa made:
[tex]3\frac{1}{2}[/tex]÷[tex]\frac{2}{3}[/tex] = [tex]\frac{7}{2}[/tex]×[tex]\frac{3}{2}[/tex] (To change the ÷ sign to ×sign, swap the denominator and the numerator of the second fraction)
= [tex]\frac{21}{4}[/tex]
= 5[tex]\frac{1}{4}[/tex]
A hostess earned a 5% tip. What decimal is equivalent to 5%?
Answer:
.05
Step-by-step explanation:
to get a percent, you multiply by 100. so take 5 and divide by 100 to get decimal
There are 36 students in the chess club, 40 students in the drama club, and 24 students in the film club. What is the ratio of students in the drama club to students in the film club?
Answer:
5 to 3 (5:3)
Step-by-step explanation:
drama: 40 film:24
40:24 /2
20:12 /2
10:6 /2
5:3
Answer: 5/3
Step-by-step explanation:
The ratio is 40/24 and to simplify this, you need to divide both sides by the largest number possible while still getting a whole number. You can divide both sides by 8 which will get you 5/3.
The ratio of students in the drama club to students in the film club is 5/3.
Right triangle LMN is shown. What is the length of the hypotenuse, x, of triangle LMN? Round your answer to three decimal Places. Use the equation below.
Answer:
55.866 ft
Step-by-step explanation:
[tex] c^2 = a^2 + b^2 [/tex]
[tex] x^2 = 40^2 + 39^2 [/tex]
[tex] x^2 = 1600 + 1521 [/tex]
[tex] x^2 = 3121 [/tex]
[tex] x = \sqrt(3121} [/tex]
[tex] x = 55.8659 [/tex\
Answer: 55.866 ft
The length of the hypotenuse, x, of triangle LMN to 3 decimal place is
55.866 ft
using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the 2 other legs.
Therefore,
40²+ 39² = x²
1600 + 1521 = x²
x² = 3121
square root both sides
x = √3121
x = 55.8659108939
x ≈ 55.866 ft
learn more: https://brainly.com/question/16865247?referrer=searchResults
SUPER EASY 20 POINTS HELP ME
Answer:
x=10
Step-by-step explanation:
Just do the math. Its easy.
Answer:
x=10
Step-by-step explanation:
i dont explain
A triangle has sides with lengths of 26 meters, 39 meters, and 43 meters. Is it a right triangle?
Answer: No
Step-by-step explanation:
This triangle is not a right triangle because:
A right triangle must have one side that is exactly 90°.
A triangle with sides 26, 39, and 43 do not have any sides that total 90.
The answer to your question is no.
Best of Luck!
Answer:
No, the side don't equal 90
Find the zeros of the function.
f(x) = 2x2 – 2x – 12
Answer:
Step-by-step explanation:
2x^2-2x-12
This has solutions of x=3 and x= -2
(0,-4) graph the vertex
Answer:
Look below for the screenshot :)
Lauren reads 30 pages in 6 minutes in a 240-page novel. What is the constant of proportionality that relates the number of pages, y, to the number of minutes, x?
Answer:
30y + 6x = 240
5y + x = 40
Answer is y + x = 8
4. X varies directly with the square of y, where x>0,
and y >0. If x= 3 when y = 5, then what is the value
ofy when x= 48?
Answer:
The value of y, when x = 48 is y = 12/5
Step-by-step explanation:
The given parameters are;
x is directly proportional to y
Where x > 0, y > 0
For x = 3. y = 5
Therefore, we have;
x ∝ a·y²
For ,x = 3, when y = 5, we have;
3 = a × 5² = 25·a
∴ a = 25/3
When x = 48, we have;
48 = 25/3×y²
y² = 3/25 × 48 = 144/25
y = √(144/25) = 12/5
y = 12/5
The value of y, when x = 48 is y = 12/5.
In a bag of marbles, the ratio of green to red marbles is 6 to 5. If there are 95 red marbles, how many total marbles are in the bag?
Answer:
I think the answer is 209
Step-by-step explanation:
6(green): 5(red)
if we divide 95 by 5 we get 19.
Lets multiply 6 by 19 and we get 114.
114 plus 95 is 209.
hope it helps
A number cube is tossed 50 times, and a 2 is rolled 14 times. Find the experimental probability of not rolling a 2. Enter your answer as a simplified fraction.
Answer:
18/25
Step-by-step explanation:
With regards to the above information, we can infer that since a 2 is rolled 14 times, then 36[50 - 14]rolls are not 2.
The experimental probability would then be;
= 36/50
= 18/25
The experimental probability of not rolling a 2 is 18/25.
Based on the Venn diagram below, how many students are in band?
A.) 9
B.) 25
C.) 17
D.) 14
Help me pls 4 5 6 7 8 and 9 pls
9514 1404 393
Answer:
4C, 5D, 6A, 7E, 8B, 9s
Step-by-step explanation:
This is a vocabulary question. The angles named by the relationships A-E are angles that have the transversal as a common side. "Interior" and "exterior" refers to the space between the crossing lines, or outside the crossing lines, respectively. "Alternate" means the angles are on opposite sides of the transversal; "consecutive" means they are on the same side of the transversal.
Angles are "corresponding" if they are in the same direction from the point of intersection where the transversal crosses the two lines. The angles will be "consecutive", but one will be interior and the other will be exterior.
4. angle 9 is left of q, above r; angle 16 is right of q and below s, so these are alternate exterior angles, C.
__
5. angle 3 is below r and left of p; angle 5 is above s and left of p, so these are consecutive interior angles, D.
__
6. angle 7 is below s and left of p; angle 15 is below s and left of q, so these are corresponding angles, A.
__
7. angle 1 is above r and left of p; angle 10 is above r and right of q, so these are consecutive exterior angles, E.
__
8. angle 2 is above r and right of p; angle 11 is below r and left of q, so these are alternate interior angles, B.
__
9. angles 6 and 13 are above transversal s.
the sum of the speeds of two trains is 721.6 miles per hour. if the speed of the first train is 8.4 mph faster than that of the second train find the speeds of each
Subtract the faster speed:
721.6 - 8.4 = 713.2
Divide by 2 trains:
713.2/2 = 356.6
The slower train is going 356.6 miles per hour.
The faster train is going 356.6 + 8.4 = 365 miles per hour.
Find the area of a circle that has a circumference of 175.84 inches
with explanation.
Will give brainliest.
Answer:
[tex]{ \boxed{ \bold{ \text{Area \: of \: a \: circle} \: = \tt{2461.76 \: {inches}^{2}}}}} [/tex]
☯ Question :Find the area of a circle that has a circumference of 175.84 inches.☯ Step - by - step explanation :☄ Given :
Circumference of a circle = 175.84 inches☄ To find :
Area of a circle = ?☄ First, we have to find :
Radius of a circle ( r )♨ Finding the radius of a circle :
[tex] \boxed{ \sf{Circumference \: of \: a \: circle = 2\pi \: r}}[/tex]
Substitute the value of circumference of a circle
[tex] \longrightarrow{ \sf{175.84 = 2\pi \: r}}[/tex]
Swap the sides of the equation
⟶ [tex] \sf{2\pi \: r \: = 175.84}[/tex]
Use [tex] \sf{ \pi \: ≈ \: 3.14}[/tex] , we obtain
[tex] \longrightarrow{ \sf{2 \times 3.14 \times r = 175.84}}[/tex]
Multiply : 2 by 3.14
[tex] \longrightarrow{ \sf{6.28 \: r = 175.84}}[/tex]
Divide both sides by 6.28
[tex] \longrightarrow{ \sf{ \frac{6.28 \: r}{6.28} = \frac{175.84}{6.28}}} [/tex]
[tex] \longrightarrow{ \sf{r \: = \: 28 \: inches}}[/tex]
☞ Now , we have :
Radius of a circle ( r ) = 28 inchesFinding the area of a circle having the radius of 28 inches :
[tex] \boxed{ \sf{Area \: of \: a \: circle = \pi \: {r}^{2} }}[/tex]
Substituting the radius , we get :
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = \pi \: {(28)}^{2} }}[/tex]
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = 784 \: \pi}}[/tex]
Using [tex] \sf{\pi \: ≈ \: 3.14}[/tex] , we obtain :
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = 784 \times 3.14 }}[/tex]
[tex] \longrightarrow{ \boxed{ \sf{Area \: of \: a \: circle = 2461.76 \: {inches}^{2} }}}[/tex]
Therefore , area of a circle is 2461.76 inches²
And we're done !
Hope I helped!
Have a wonderful time!ツ
━━━━━━━━━━━━━━━━━━━━━━━━━━━━
someone help please!
the volume of a cylinder whose base area is 300sq.cm and height is 15 cm is
1)450
2)4500
3)45000
Answer:
(2)
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × height
= 300 × 15
= 4500 cm³
PLZZZ ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!
Answer:
3 and 4 are complementary angles
Step-by-step explanation:
I cant see the answers very well so if that isnt an answer lmk
Question 1 (20 points)
Ify is directly proportional with x and ya 10 when x = 5, what is the value of y when x = 27
Answer:
yo noob this is no 20 points
Step-by-step explanation:
Answer:
the answer is 54
Step-by-step explanation:
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
The expression for the perimeter is 4x + 10 = 62 and the length of the rectangle is 18 cm.
What is a perimeter?The perimeter is the distance around the edge of a shape.
Given that the width of the rectangle is x cm, length is x+5, and the perimeter is 62.
The general equation for the perimeter of a rectangle is given by
2 (length + width) = perimeter
By substituting the values we get
2(x+5+x) = 62
i.e 4x+10 = 62
x=52/4 = 13
Then length is given by
x+5 = length
i.e length = 18
Hence the 4x + 10 = 62 is the expression for the perimeter of a rectangle of length 18cm.
To learn more about perimeter, use the link given below:
https://brainly.com/question/6465134
#SPJ2
how many solutions are there to this problem
| 8k-7 | =0
write the equation of the line that passes through the given points. (0,-1) and (-11,-4)
Answer:
Line equation
y=0.2727272727272727x−1 Slope 0.27 Intercept -1
Step-by-step explanation:
Mark has to travel a distance of 400 miles. He travels at a speed of 50 miles per hour. The function f(x) = 400 − 50x represents the distance he has to travel after x hours. Identify the graph that describes this function and its intercepts. What does each intercept represent?
Answer:
x-intercept: 8; the number of hours
y-intercept: 400; distance to be covered
How are these triangles congruent
Plz need help
It’s for geometry
Answer:
Angle x = 48
Angle y = 42
Side w = 1.6cm
4.Which of the following sentences can be expressed by the inequality 16−5x≥1?
A.The difference of 16 and the product of 5 and a number is no less than 1.
B.16 less than the product of 5 and a number is no less than 1.
C.The difference of 16 and the product of 5 and a number is greater than 1.
D.16 less than the product of 5 and a number is greater than 1.
5.The product between 6 and 4 less than x is no more than 20.
Which expression among the following is equivalent to the sentence above?
A.6(4−x)≤20
B.6(x−4)≤20
C.6×4−x≤20
D.x−6×4≤20
*Please make sure you answer all of the questions please and thank you :)
Answer: TO THE ENTIRE TEST
Step-by-step explanation:
1. C. a<b
2.A. x >_0
3. A. The product between 3 and a number is greater than 9
4. B. The difference of 16 and the product of 5 and a number is no less than 1
5.B. 6(x-4)<_20