What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?

Answers

Answer 1

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²


Related Questions

Plz help ASAP will give brainliest if answered correctly!!

Answers

Answer:

C

Step-by-step explanation:

Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C

Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.

Clue 1: Maya and Josh have 20 candles

Clue 2: Maya and Sam have 13 candles

Clue 3: Sam and Josh have 15 candles

Clue 4: There are 24 candles altogether.


How many candles are on Maya’s cake?

How many candles are on Josh’s cake?

How many candles are on Sam’s cake?

Answers

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how

Answers

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
[tex]\frac{1}{3}(6x+23)+\frac{1}{3}[/tex]

Answers

please see the attached picture for full solution

hope it helps

good luck on your assignment..

I just need answer. Pls

Answers

Answer:

Step-by-step explanation:

CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

Answers

Answer:

No

Yes

No

No

Step-by-step explanation:

Representing postulates with diagrams

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula

x=(m/m+n)(x₂ - x₁)+ x₁

Substituting the values, we get;

x= 1/4(4+5)-5

x = 9/4-5

x = -11/4

Thus, the x - coordinate of the point P is -11/4

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=(m/m+n)(y₂ - y₁)+ y₁

Substituting the values, we get;

y= 1/4(1+1)-1

y = 2/4-1

y= -2/4

y= -1/2

Thus, the y - coordinate of the point P is -1/2

Therefore, the coordinates of the point P is (-11/4, -1/2)

Hence, Option C is the correct answer.

please mark me brainliest!

Answer:

C

Step-by-step explanation:

I just did it on edge

Can someone helping me?

Answers

Answer:

11

Step-by-step explanation:

Graph in desmos by making a table then you're able to count more clearly

Answer:

Answer is option b) 11

Step-by-step explanation:

[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.



O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.

Answers

Answer:

Both

Step-by-step explanation:

The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

(2, - 1) and (-4, 2) and inequality 2x – 3y > 4

Now, (2, -1)

2(2) - 3(-1)

4 + 3

7>4

and, take (-4, 2)

2(-4) - 3(2)

= -8 -6

= -14 < 4

Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.

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f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?

Answers

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

HELP!!
Solve for x in the figure below!

Answers

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ?

Answers

Answer:

Yes.

Step-by-step explanation:

Apples needed             =130

apples in the kitchen    =68

130-68= 62 to complete for all the students

1 (3 dozens x 12) = 36 apples x 2= 72

68 +72=140 apples available for all the students

Answer:

Yes

Step-by-step explanation:

The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.

Hope it helps

An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.

Answers

y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.

I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.​

Answers

Answer:

Y=3

X=1

3<1+3

Hope that helps

The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The expression is

x and y are integers, y>2, x<2

y< x + 3

[tex]x < 2[/tex] , x can take any value less than two.

⇒ [tex]x=1[/tex] and

[tex]y > 2[/tex] , y can take any value greater than two

⇒ [tex]y=3[/tex]

Thus the expression becomes,

⇒ [tex]y < x + 3[/tex]

⇒ [tex]3 < 1 + 3[/tex]

⇒ [tex]3 < 4[/tex]

Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

Learn more about inequalities here

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Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?

Answers

Answer:

[tex]15516.3163[/tex]

Step-by-step explanation:

[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]

If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

Using this formula

Amount=P(1+r)n

Where:

p represent principal=$8,500

r represent rate=3.4% or 0.034

n represent number of years=18 years

Let plug in the formula

Amount=$8,500(1+0.034)∧18

Amount=$8,500(1.034)∧18

Amount=$8,500(1.82544)

Amount=$15,516

Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

Learn more here:

https://brainly.com/question/19143786

PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

Answers

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answers

Answer:

Here's what I get.

Step-by-step explanation:

Assume the figure is like Image 1  below.

We must dilate each point by a scale factor of 3 centred at (2, −7).

1. Determine the transformation rules

Each point moves to three times its original distance from the centre.

Let P = a point on the figure and

let O = the centre of dilation

and L = the distance from the point to the centre. Then

L = P - O

Three times that distance is  

3L = 3P - 3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.

P' = 3L + O = 3P - 3O + O = 3P + 2O

If P is at (x,y) and O is at (h,k), the transformation rule is

(x,y) ⟶ (3x - 2h, 3y - 2k)

2. Make a table of the new coordinates

[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]

3. Graph the new shape

You should get a graph like Fig. 2.

The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.

Point B is two units left of O and three units up.

Also, B' is six units left and nine units up, so the scale factor is three.

 

Question 4(Multiple Choice Worth 1 points)

(06.04 MC)

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:

(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4

Answers

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)

Answers

Answer:

y=-x+1

Step-by-step explanation:

Solve the equation using the square root property:*

3x2 - 30 = 0

Answers

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

please answer this !!!!!

Answers

Answer:

The slope is -3/1.

Step-by-step explanation:

Slope : -3

Slope = y2 - y1 /x2 -x1
Slope = 6- -3 / -1 - 2
Slope = 9/ -3
Slope = -3

Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62

Answers

Answer:

The answers are A, B and D

Can someone help me with these 2 questions?

Answers

Answer:

3: x = 3      4: y = 8

Step-by-step explanation:

Problem 3:

Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.

Problem 4:

Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).

Hope this helped!

What is the volume of a rectangular solid with a length of 12, a width of 3, and a height of 4?

Answers

Answer:

144

Step-by-step explanation:

L•w•h

12•4•3= 144

The answer is 144 , I got the same solving step by step solution like the other person

can you please solve this!

Answers

Answer:

x = 8

Step-by-step explanation:

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