easy 8th grade math please help

Answer:

h(t) = -3(t-8)(t+4). and 8 minutes

Step-by-step explanation:

The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.

A quadratic equation is an equation that contains a variable with highest degree of 2.

Given, the height of the drone t minutes after take off is modeled by

h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)

Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)

Therefore, we can write the equation as:

t² - 4t - 32 = 0

⇒ t²- 8t + 4t - 32 = 0

⇒ t(t - 8) + 4(t - 8) = 0

⇒ (t + 4)(t - 8) = 0

Hence, (t + 4) = 0 and (t - 8) = 0

Therefore, t = -4, 8.

As 't' can't be negative, therefore, t = 8.

Therefore, after take off, the drone will land on the ground after 8 minutes.

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Answer: m<DEA = 95° also

Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal

Randi earn $24,300 next year.

Here,

Given that;

Two years ago Randi earned $18,400. last year she earned $19,700.

And, she earns $21,600 this year.

The average of four year is $21,000

We have to find, the amount she earn in next year.

What is Average?

A number that is calculated by adding quantities together and dividing the total by the number of quantities.

Now,

Let she earn $ x in next year.

The average of four year is $21,000.

Hence, Average of money for four year is;

[tex]\frac{18,400+19,700+21,600+x}{4} = 21,000[/tex]

[tex]59,700 + x = 84,000[/tex]

[tex]x = 24,300[/tex]

So, She earn $24,300 in next year.

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Answer:

a) 53 is prime

Step-by-step explanation:

Answer:

C,D

Step-by-step explanation:

A Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself

Step-by-step explanation:

T1=a

T2=ar

r=T2÷T1

r=--18÷6

r=-3

T11=ar^10

T11=6×-3^10

T11=-354294

Answer:

354294

Step-by-step explanation:

a11=6*(-3)10=354294

Answer:

Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units

Step-by-step explanation:

Here, we want to use the absolute value of the coordinates to find the distances.

Since we are using absolute values, the negative points becomes positive;

Thus;

Q = (4,2)

R = (3,2)

S = (3,5)

Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

The distance QR is thus;

D = √(3-4)^2 + (2-2)^2

D = √(-1)^2 + 0

D = √1 = 1 unit

The distance RS is thus;

D = √(3-3)^2 + (5-2)^2

D = √(0) + (9)

D = √9 = 3 units

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

f(5) = f(x + 3) - f(x)

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

Answer:

2cm

Step-by-step explanation:

to get the radius u divide the diameter by 2

hope this is correct and helps

Step-by-step explanation:

Hey there!

Answer is 2cm.

Reason:

Diameter is given = 4 cm

Radius = d/2

= 4/2 = 2cm.

Hope it helps..

Answer:

B

Step-by-step explanation:

B

Answer:

cos(3π) is 0.986 which rounds to 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

edge 2020

Answer:

no slope

Step-by-step explanation:

y2-y1/ x2-x1

8-(-12)/17-17 = 0

The line containing (17, -12) and (17, 8) has no slope.

The line is a vertical line with an x-intercept at x = 17.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A line contains two points.

(17, -12) and (17, 8).

Consider,

(17, -12) = (a, b) and (17, 8) = (c, d)

The slope of the line.

Slope:

= (d - b) / (c - a)

= (8 - (-12)) / (17 - 17)

= 8 + 12 / 0

= 20 / 0

= undefined.

This means there is no slope for the line that contains (17, -12) and (17, 8).

The line is a vertical line intercepting at x = 17.

Thus,

The line containing (17, -12) and (17, 8) has no slope.

The line is a vertical line with an x-intercept at x = 17.

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Answer:

Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26

Step-by-step explanation:

Remove the parentheses from the (-200)

Multiply the numbers 100000000*300000000*650000*200*100

= -3.9E26-100000000

Subtract the numbers -3.9E26-100000000

= -3.9E26

Answer:

The slope of the line would be 1

(4-1)/(6-3)= 1

Answer:

n/2 = # of trumpet players

Step-by-step explanation:

Answer:

D. Mountains

Step-by-step explanation:

When two Continental plates crash the land piles upward to forms mountains and hills.

Answer:

Step-by-step explanation:

I D KK

Answer:

[tex]\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}[/tex]

Step-by-step explanation:

When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.

Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.

When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.

When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.

When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.

Hope this helped!

Answer:

Planet D

Step-by-step explanation:

1.5*10^9 = 1,500,000,000

1.07*10^8 = 107,000,000

5.7*10^7 = 57,000,000

2.29*10^6 = 2,290,000

It has the least amount.

Answer:

Planet C

Step-by-step explanation:

1.5 x 10e9 = 1.5 billion

1.07 x 10e8 = 107 million

5.7 x 10e7 = 57 million

2.29 x 10e8 = 229 million

Answer:

0.75

Step-by-step explanation:

The two negatives cancel each other out and divide like normal.  6 divided by 8 equals 3/4 or 0.75.

Answer:

2.375 or 2 3/8

Step-by-step explanation:

You want to do total weight over total number of items.

14 1/4 / 6 books = 2.375

Answer:

14.25 / 6 = 2.375 or 2 3/8

Answer:

ASSOCIATIVE PROPERY

Step-by-step explanation:

Given :

The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.

To Find :

How many more boxes should they expect to use.

Solution :

We know, 1 ton = 2000 pounds

So, 2 ton = 4000 pounds

Minimum number of boxes required for safe handling :

[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]

So, total 160 boxes required.

Therefore, 160 - 50 = 110 many more boxes should they expect to use.

Hence, this is the required solution.

Answer:

110 more boxes

Step-by-step explanation:

Part A

We have 20 cards, 4 of which are kings (one of each suit). The probability of getting a king on the first draw is 4/20 = 1/5.

===========================================================

Part B

We have 20-4 = 16 cards that aren't a king out of 20 total.

The probability of getting a non-king card is 16/20 = 4/5

After selecting the first card and not putting it back, we have 20-1 = 19 cards left. Four of which are a king, so 4/19 represents the probability of getting a king on this draw.

So (4/5)*(4/19) = 16/95 is the probability of getting a king on the second draw where the first draw is not a king.

===========================================================

Part C

16/20 is the probability of getting no kings on the first draw

15/19 is the probability of getting no kings on the second draw (notice I stepped the values down by 1)

14/18 is the probability of getting no kings on the third draw

Multiplying out the fractions gives

(16/20)*(15/19)*(14/18) = 28/57

I skipped a few steps when multiplying the fractions but you get the idea.

The probability of drawing 3 cards, none of which are a king, is 28/57

Subtract this from 1 to get the complementary probability

1-(28/57) = 57/57 - 28/57 = (57-28)/57 = 29/57

This works because we have two choices: either we get no kings, or we get at least one king. So that's why the two events are complementary and their probabilities add to 1.

Step-by-step explanation:

the correct answer is not a polynomial

Answer:

18 inches

Step-by-step explanation:

5x12=60

60-42=18

18 inches is the correct answer

Answer:

C

Step-by-step explanation:

Distance is the answer that includes numerical items!

Answer:

Daily temperature

Step-by-step explanation:

Answer:

Lea swam 14 laps.

Step-by-step explanation:

8+6=14