A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?

Answer:

Step-by-step explanation:

Total distance /total time=total speed

600÷60=10hrs

300÷75=4hrs

I0-4=6

V=300÷6=50km/h

Answer:

A + D

Step-by-step explanation:

Answer A is three x's (same as original) and answer D, when expanded using the distributive property, equals 2x + 2 + x, which is equal to 3x + 2.

Answer:

see explanation

Step-by-step explanation:

An increase of 4% = 104% = [tex]\frac{104}{100}[/tex] = 1.04

Sue should have multiplied by 1.04

(b)

A decrease of 6% = 94% = [tex]\frac{94}{100}[/tex] = 0.94 , thus

160 × 0.94 = 150.4

Step-by-step explanation:

NOTE: Increasing x by p% means multiplying x by (1+p%).

then

increase 160 by 4% means multiply 160 by (1+4%)

in other words:

1+0.04 = 1.04

increase 160 by 4% means 160 by 1.04

160×1.04 = 166.4

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

[tex]\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm[/tex]

Answer:

5.8 cm

Step-by-step explanation:

A= 1/2 x b x h

A=1/2 x 4.6 x 2.5

A=5.75 CM=5.8 cm

Answer:

[tex]5.8 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4.6 \times 2.5 \\ = \frac{11.5}{2} \\ = 5.75 {cm}^{2} [/tex]

round to one decimal.

5.8

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

No.

Step-by-step explanation:

If you distribute the 1st equation out, you will be able to see that it is -1.5x - 2.5 while the other equation is -1.5x + 2.5. Since you have to distribute the negative, they are not equivalent.

Answer:

Both expressions are not equal.

Step-by-step explanation:

-0.5(3x+5) = -1.5x - 2.5

–1.5x+2.5  = -1.5x + 2.5

The first expression results in subtracting 2.5, the second expression results in adding 2.5.

Answer:

We need 232 mL of Compound A

Step-by-step explanation:

We know the ratio

A    : B    : total

4       3      4+3

4      3        7

We want 406

406 /7 =58

Multiply each part by 58

A       : B        : total

4*58    3*58     7*58

232      174       406

We need 232 mL of Compound A

Answer: C

Step-by-step explanation:

A P E X

Answer:

C

Step-by-step explanation:

Answer:

1968

Step-by-step explanation:

The given sequence is a finite arithmetic sequence.

Step 1: Determine the number of terms in the sequence

For an arithmetic sequence, the nth term:

A(n)=a+(n-1)d

In the sequence:

Therefore, to find which term the number 15 is, we have:

15=108+(n-1)(-3)

15=108-3n+3

15=111-3n

3n=111-15

3n=96

Number of terms in the sequence, n=32

Step 2: Find the sum of the sequence

For an arithmetic sequence with a given first and last term:

[tex]Sum, S(n)=\frac{n}{2}(a+l)\\ =\frac{32}{2}(108+15)\\=16*123\\$Sum of the sequence, S(n)=1968[/tex]

Answer:

The horizontal asymptote is y=0

Answer:

200,000 x 0.05 = 10,000

200,000 + 10,000 = 210,000

This will be 2015 (210,000)

210,000 x 0.05 = 10,500

210,000 + 10,500 = 220,500

2016

220,500 x 0.05 = 11250

220,500 + 11,250 = 231,750

231,750 should be the value

Hope this helps

Step-by-step explanation:

Answer:

Your answer would be the letter a

Answer:

Step-by-step explanation:

180 -133 = 47

180-142=38

38+47= 85

180 - 85 = 95

180 - 95= 85

The answer is A

Answer:

30cm^3

Step-by-step explanation:

Triangular Prism Volume Formula:

V = b x h

b = base

h = height

5 x 6 = 30

30cm^3

Answer:

C

Step-by-step explanation:

[tex]12x\sqrt{900x^2y^4z^6}= \\\\12x\sqrt{30^2x^2(y^2)^2(z^3)^2}= \\\\12x(30xy^2z^3)= \\\\360x^2y^2z^3[/tex]

Therefore, the correct answer is choice C. Hope this helps!!

Answer:

The side lengths that are the legs are 6 and 12 because the hypotenuse is the largest side length of a triangle (since there are three side lengths shown).  

Answer:

6 & 12

Step-by-step explanation:

In a right triangle, the greatest side length belongs to hypotenuse, other 2 numbers represent the legs

so as per the given, 14 is hypotenuse ans 6 & 12 are legs

Answer:

Solution,

<N=180-53-44

=83

[tex] \frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20[/tex]

hope this helps..

Good luck on your assignment..

Answer:

LM =20.00356825

Step-by-step explanation:

We will use the law of sines

sin M        sin N  

-------- = ------------

LN             LM

We can find the measure of N since the sum of the angles of triangles is 180

L+ M+ N =180

53+ 44 + N =180

N =180 - 53-44

N =83

sin 44        sin 83

-------- = ------------

14             LM

Using cross products

LM sin 44 = 14 sin 83

LM = 14 sin 83 / sin 44

LM =20.00356825

Currently we do not know the price of the PS5 but I believe it will be $550

Answer:

The relative frequency of event "spin a 3" is calculated by:

F = number of elements/total number of elements

  = 24/50 = 0.48

Hope this helps!

:)

Answer:

  a. ABCDEFHILO

  b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

  c. HLNOPQ

  d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

  ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

  HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

  ABCD EFGH IJKL MNOP Q

Answer:

 a. ABCDEFHILO

 b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

 c. HLNOPQ

 d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

 ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

 HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

 ABCD EFGH IJKL MNOP Q

Answer:

A. The first graph

Step-by-step explanation:

When you graph these two equations on a graphing calc, you should be able to see one dotted line and one solid, as well as the solutions being mostly in the 1st quadrant.

Answer:

5(4) - 6 + 5(4) - 6

Step-by-step explanation:

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

=> Option D is correct

Hope this helps!

The expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

Therefore, the expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

To know more about Expression follow

https://brainly.com/question/723406

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i) If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

ii) The values of x and y are 120 degrees and 120 degrees respectively.

Answer:

Step-by-step explanation:

[tex]18-\sqrt{-25}=18-\sqrt{i^{2}*5^{2}}\\\\=18-5i[/tex]

Answer: the answer is b

Step-by-step explanation:

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

[tex]sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7[/tex]

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

[tex]cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}[/tex]

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

[tex]2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25[/tex]

Your answer is the 38.2

Answer:

- 5i and 5i

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and/ or complex.

Complex roots occur in conjugate pairs.

Given 2 real roots x = 5, x = - 5

There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.

Answer:

-8, 7

Step-by-step explanation:

Set up an equation.

x² + x = 56

Set the equation equal to zero and factor.

x² + x - 56 = 0

(x + 8)(x - 7) = 0

Solve for x.

x + 8 = 0

x = -8

x - 7 = 0

x = 7

The possible x values are -8 and 7.

Answer:

3+2=5 so the answer is 3/5 multiply by 50

Answer:

Step-by-step explanation:

3+2=5

3/5  x50=30g

2/5 x50=20g