Write the quadratic expression -16t2 − 8t + 24 in factored form.

Answer:

Step-by-step explanation:

Acceleration is defined as the change in velocity of a body with respect to time.

Acceleration = velocity/time

Given velocity of the space shuttle = 525m/s and time = 18.0seconds

Its average acceleration = 525/18

Its average acceleration (in m/s²) = 29.17m/s²

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

Answer:

girl

Step-by-step explanation:

What in the world 3000%

Answer:

(-0.25,0) and (0,-1)

Step-by-step explanation:

I used a graphing calculator.

Put function the the calculator

then ind two points on the function and that is your answer

Answer:

The other person is right, I believe it is the fourth Quadrient

Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.

When a shape is rotated, it must be rotated through a point.

The current location of the quadrilateral is quadrant III.

A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.

i.e. quadrant 2, quadrant I, and quadrant 4.

Hence, the quadrant of the rotated figure is quadrant IV.

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Answer:

The sine and cosine functions are similars in:

   They are periodic functions with a period of 2π.

   The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.

Answer:

0

Step-by-step explanation:

you open bracket you get 3w+6=6+3w you collect like terms

you get 3w-3w=6-6

answer o=o which is 0

Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

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Answer:

Step-by-step explanation:

Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

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Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer:

z = 75°

Step-by-step explanation:

You can see that CGE and FGD are vertical angles.

FGD = 15°

Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°

105° + z° = 180°

z = 75°

Answer:

75 degrees...

Step-by-step explanation:

if you look at the diagram, the angle with 15 degrees is the same as the one opposite!

So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!

Now we do 90 degrees - 15 degrees

This gives us 75 degrees!

So x = 75 degrees!

HOPE THIS HELPS!!

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

Answer:

55 journeys.

Step-by-step explanation:

907185 gm = 1 ton

453592.5 gm = 1/2 ton

1360777.5 gm = 1 1/2 ton

Convert to kg (1000g= 1kg)

Then divide by 25kg

=1360.7775/25 = 54.4311

Round up decimal to 1

= 55 journeys

Answer:

B and D

Step-by-step explanation

Answer:

B and D

Step-by-step explanation:

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

The area of the shaded triangle would be 12 ft.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Area of a triangle is 1/2 x base x height.

The base of the shaded triangle is 3 ft. the height is 8 ft.

Area = 1/2 x 3 x 8

Area = 12 square feet.

so the answer is 12.

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[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

1

Step-by-step explanation:

because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6

Answer:

5 rooms can be painted

Step-by-step explanation: we can't paint six rooms because there would be no such thing a 0.2 of a room

Answer:

By adding 4 to both sides.

2= -4 +b

2= b -4

2+4= b-4 +4

6= b

Another way to look at it is to move all the constants to one side. Here we have the constant 2 on the left hand side, and on the right we have the constant -4 and the variable b.

To isolate b, we move the constant -4 to the left hand side. Moving a number to the other side of the equal sign changes the sign of the number. So, -4 becomes a +4 on the left hand side.

2 +4= b

6= b

9514 1404 393

Answer:

  (b)  8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4

Step-by-step explanation:

Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.

The appropriate choice on this list appears to be the second choice.

_____

Comment on the problem

In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.

Answer:

B

Step-by-step explanation:

i am smart

Answer:

top right corner

Step-by-step explanation:

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

Answer:

15/2

Step-by-step explanation:

5*6/4=30/4=15/2

Answer: 7 1/2

Step-by-step explanation:

5 ÷ 4/6 = 7.5

7.5 as a mixed number is 7 1/2

7 1/2 simplified is 7 1/2

Answer:

r = 2 (answer C)

Step-by-step explanation:

Given:  (p - q)/2 = 3, so (p - q) = 6

Next, rp - rq = 12 can be rewritten as r(p - q) = 12, or r(6) = 12

Then r must be 2: r = 2 (answer C)

Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

Answer:

3.61 sec

Step-by-step explanation:

Set the given d= 3t + 3t ^2 equal to 50 and solve for t:

3t^2 + 3t - 50 = 0

This is a quadratic equation with coefficients 3, 3 and -50.  The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609

The roots of this quadratic are therefore:

     -(3) ± √609           -3 ± 24.68           21.68

t = --------------------  =  -------------------  =  ----------- = 3.61 sec

           2(3)                           6                     6