Answer:
After t = 1.67 seconds, the rocket will have reached a height of 250 centimeters.
Step-by-step explanation:
Given
[tex]h = -90t^2 + 300t[/tex] --- correct expression
Required: When does height = 250 cm
To do this, we have:
[tex]h = 250[/tex]
This gives:
[tex]250 = -90t^2 + 300t[/tex]
Rewrite as:
[tex]90t^2 - 300t + 250 = 0[/tex]
Divide through by 10
[tex]9t^2 - 30t + 25 = 0[/tex]
Expand
[tex]9t^2 - 15t - 15t + 25 = 0[/tex]
Factorize:
[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]
[tex](3t - 5)(3t - 5) = 0[/tex]
This gives:
[tex]3t - 5 = 0[/tex]
Solve for 3t
[tex]3t = 5[/tex]
Solve for t
[tex]t = \frac{5}{3}[/tex]
[tex]t = 1.67s[/tex]
The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
y = -2x + 8
-y = -2x + 4
y = -2x + 8
0 = -4x + 12
-4x = -12
x = 3
please help!!!!!!!!!
12% of what number is 1044?
8,700*
12/100=1044/y Equation
1044 x 100= 104,400 Cross multiply
104,400÷12=8700 Divide quotient by pecentage out of 100 (12)
*HURRY* Kale purchased a new car. The car had a list price of $28,730. Kale made a down payment of $2,750 and financed the rest, paying 4.9% interest compounded monthly over a payment period of four years. If Kale also had to pay 8.4% sales tax, a $750 vehicle registration fee, and an $88 documentation fee, what is his monthly payment
Answer:
$5934
Step-by-step explanation:
Which equation is equivalent to 29p + 32?
A 32 - 29p
B 32 + 29p
C 32p + 29
D 32(29-p)
Write the equation of the
line that is parallel to
y = 1.5x – 6 and passes
through the point (4,2).
The equation of the line is (y - 2) = 1.5(x - 4)
What is line ?
Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).
In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.
When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.
Given, [tex]y = 1.5x - 6....(1)[/tex]
We are comparing equation (1) with y = mx+c and get m = 1.5
It is also given required equation passes through the point (4,2)
We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)
Here,
[tex]m = 1.5 \\ a = 4 \\ b = 2[/tex]
So, required equation of the line [tex](y - 2) = 1.5(x - 4)[/tex]
Line related one more question:
https://brainly.com/question/17188072
#SPJ2
Can anyone help with this question geometry
Answer:
The answer would have to be shown in your working out, so look down below for an explanation.
Step-by-step explanation:
You would make each equation with the same letter equal to each other
5x- 10= 7x-20
3y= 5y-16
Then you would solve the equations
5x-10 = 7x-20
+20 +20
5x +10= 7x
-5x -5x
10= 2x
x= 5
-
3y = 5y-16
+16 +16
3y+16=5y
-3y -3y
16 = 2y
y = 8
And there's how you would prove that x=5 and y=8
Which of the following is equivalent to the expression below?
Answer:
A. 7✓6 - 6x✓6
Explanation:
7✓6 - 5x✓6 - x✓6
= 7✓6 - (5x + x)✓6
= 7✓6 - 6x✓6
PLEASE HELP THIS IS TIMED!!!
Answer:
its c. 1/4
hope it helps;)
Answer:
1/4
Step-by-step explanation:
1. Look at the numbers on the number line (1,0,-1)
2. See where the point falls in between. (0 & 1)
3. Since the point is closer to 0 you can infer that it is 1/4
I really need help please and thank you
Answer:
x = 8
Step-by-step explanation:
You can set up the equation 6/4 = 12/x and then cross multiply to solve for x
Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks)
Answer:
z=30
Step-by-step explanation:
40-10=30
10+10+?=30
30-10-10=10
I'm sorry cuz I don't know how to explain it
Answer:
z = 10
Step-by-step explanation:
10 + 10 + z = 40 - 10
10 + 10 + z = 30
10 + 10 + 10 = 30
since 40 - 10 = 30, then Z has to equal 10 because 10 + 10 + z needs to be 30
y varies directly with the cube of x
y = 108 when x = 3
Express y In terms of x
Answer:
y = 36x
Step-by-step explanation:
y varies directly with x ,
that is y [tex]\propto[/tex] x
Let k be constant
=> y = kx
=> 108 = k(3)
=> k = 108/3
=> k = 36
y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.
ill put this up for 50 just please someone help me.
Answer:
1) Let the dimensions be x for greater size and 1 for unit size
Product is:
x² + 3x + 2x + 6 = x² + 5x + 6Factors are:
(x + 3) and (x + 2)2)
Product is:
2x² + 3x + 2x + 3 = 2x² + 5x + 3Factors are:
(2x + 3) and (x + 1)Find the minimum or maximum value of the function. (Desmos)
Antonio has six white socks, two black socks, and four gray socks in a drawer. If he randomly chooses a sock from the drawer, what is the probability he will choose a gray sock?
A.1/12
B.1/4
C.1/3
D.1/2
Answer:
C
Step-by-step explanation:
The probability is 1/3
plllllzzz helppppppp
Answer:
5. B
6. A
7. C
Step-by-step explanation:
Answer:
5.) b. 12 - 2x
6.) a. 8x
7.) c. 5d + 3c = 66
Step-by-step explanation:
uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one
Right answer will get brainlist
A smartphone regularly sells for $125. It is on sale this week for $85. The sale
price is what percent of the regular price?
Answer:
68%
Step-by-step explanation:
85 divided by 125 = .68 * 100 = 68
Answer: The sale price is 40 percent of the regular price
Step-by-step explanation:
The last time you bough pizza, 3 pizzdis was enough for 7 people. At that rate, how
many pizzas should you buy for a party for 35 people.
Answer:
15 pizzas.
Step-by-step explanation:
The rate is 3 pizzas for every 7 people. If there are 35 people at the party (7 times 5), the amount of pizzas you should buy is 15 pizzas (3 times 5). Hope I explained that well (^^'')
Need help with all the question
Answer:
Step-by-step explanation:
So in ratios you can mostly all of the time scale your answer. So by determining how much increase there is in the baby's thigh bone each week you can pretty much answer these questions.
keep in mind: Proportional means having the same ratio. A scale factor is the ratio of the model measurement to the actual measurement in simplest form.
Example from https://www.mathsisfun.com/numbers/ratio.html
A ratio says how much of one thing there is compared to another thing.
ratio 3:1
There are 3 blue squares to 1 yellow square
Ratios can be shown in different ways:
Use the ":" to separate the values: 3 : 1
Or we can use the word "to": 3 to 1
Or write it like a fraction: 31
A ratio can be scaled up:
ratio 3:1 is also 6:2
Here the ratio is also 3 blue squares to 1 yellow square,
even though there are more squares.
Evaluate the function at the given value.
h(x) = 1/3.6^x
what is h(2)?
Answer:
h(x)=6^x/3 is what I got hope I could help
12 = a (-6 + 5) (-6 - 6)
Answer:
a=1
Step-by-step explanation:
Jay's hair grows about 8 inches each year. Write a function that describes the length l in inches that Jay's hair will grow for each year k. Which kind of model best describes the function?
Answer:
l=8k
Step-by-step explanation:
Answer:
y=8k
Step-by-step explanation:
In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap
Answer:
bestie thats hard
Step-by-step explanation:
Answer:
D. x=-4.5
Step-by-step explanation:
Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.
The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE statements are correct for this situation?
Answer:
The sales tax rate is 8%.
C. The sale price is 20% less than the regular price
Step-by-step explanation:
Here are the options to this question :
A) The sales tax rate is 6%
B) The sales tax rate is 8%.
C. The sale price is 20% less than the regular price
Sales tax rate = (tax paid / discounted selling price) x 100
tax paid = amount customer paid - discounted selling price
$73.44 - $68 = $5.44
($5.44 / $68) x 100 = 8%
The sales tax is 8%
Sales price = (discount / initial price) x 100
discount = $85 - $68 = $17
($17 / 85) x 100 = 20%
Answer:
B.) The Sales Tax Rate is 8%
C.) 85-68/85 = discount rate
E.) The Sale Price is 20% less than the regular price.
Step-by-step explanation:
i did the usatestprep :)
Avery signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost is given by the linear
graph below. What is the meaning of the point (1,9.24)?
S19.24
S17.99
A) How much the streaming service
charges per downloaded song.
$16.74
S15.49
B) The base cost of the streaming service
S14.24
per month.
Total Cost per Month
$12.90
SEL.74
C) A total cost of 9.24 per month when
one song is downloaded.
SI0.49
D) The cost to download 100 songs.
59.24
57.90
Number of Songs
Answer:
c
Step-by-step explanation:
What is the percent of change from 10 to 8?
Isaiah is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
What is the surface area of the box, in square meters, that
Isaiah decorates
Answer:
389.19 m²
Step-by-step explanation:
The surface area of the box = area of the two equal triangles + area of the 3 different rectangles
✔️Area of the two equal triangles:
Area = 2(½*base*height)
base = 7 m
height = 8 m
Area of the two triangles = 2(½*7*8) = 56 m²
✔️Area of rectangle 1:
Area = Length*Width
L = 13 m
W = 7 m
Area of rectangle 1 = 13*7 = 91 m²
✔️Area of rectangle 2:
L = 13 m
W = 8 m
Area of rectangle 2 = 13*8 = 104 m²
✔️Area of rectangle 3:
L = 13 m
W = 10.63 m
Area of rectangle 3 = 13*10.63 = 138.19 m²
✅Surface Area of the box = 56 + 91 + 104 + 138.19 = 389.19 m²
At a candy store, Layla bought 2 pounds of jelly beans and 4 pounds of gummy worms for $46. Meanwhile, Brittany bought 3 pounds of jelly beans and 2 pounds of gummy worms for $41. How much does the candy cost?
X= Y=
Answer:
X = $9.00 for 1 pound of Jelly Beans
Y = $7.00 for 1 pound of Gummy Worms
Step-by-step explanation:
Ok, to start we need to make up some notation. It looks like you've chosen X and Y as your variables which works for me.
First lets say X = cost of one pound of jelly beans and Y = cost of one pound of gummy worms
Now let's put together our equations
2X + 4Y = 46
3X + 2Y = 41
Now we need to solve for one of the variables using substitution or elimination. Since none of the variables are isolated, let's use elimination by multiplying the bottom equation by -2.
2X + 4Y = 46
-6X - 4Y = -82
___________
-4X + 0 = -36
-4X = -36
X = 9 or $9.00 per pound
Now we can plug that back into own of the equations and solve for Y
2(9) + 4Y = 46
18 + 4Y = 46
4Y = 28
Y = 7 or $7.00 per pound
"Solve for x" also show how to do it so I can do it myself and actually learn.
Answer:
9√2
Step-by-step explanation:
To do this, we need to use the Pythagoras' Theorem. Which is a^2+b^2=c^2
In this case, we need to solve for C. So, we do 9^2 (A) +9^2 (B), assuming a and b are the same. So we end up with 81+81=c^2. Now, we find the square root of 162. Around 13 or 9√2