The function defined by d = 50+3121-16² gives the height in feet of a cannonball t seconds after the
ball leaves the cannon.
1. What do the terms 50, 312t, and -16? tell us about the cannonball?
2. Use graphing technology to graph the function. Adjust the graphing window to the following
boundaries: 0 n

Answer: 8

Step-by-step explanation: Use pemdas

3[9 - (6-3)] – 10 : Complete parentheses (6-3)

3[9 - 3] - 10 : Complete equation in parentheses

3[6] - 10 : Multiply 3 and 6

18 - 10 = 8

Answer:

8

Step-by-step explanation:

3[9 - (6-3)] – 10

3 [9 - (3)] - 10

3 (6) - 10

18 - 10

8

This problem is about "order of operations."  These are the rules we all agree upon that dictate which order we do mathematical operations.  We use the acronym PEMDAS to help remember them:

P - parentheses first, then:

E - exponents (powers, square roots, etc)

MD - multiplication and division (from left-to-right)

AS - addition and subtraction (from left-to-right)

y = -3x - 11

calculator

Answer:

I don't think this is possible to solve,

Step-by-step explanation:

Answer:

√.5, 20%, |-0.5|, 17

Step-by-step explanation:

√.5 = -0.5,  

20% = 0.2,

|-0.5| = 0.5,

17 =  17

Answer:

d -2+5

Step-by-step explanation:

Answer:

I think it would be -2 +5

Step-by-step explanation:

Since one of the lines is going from 0 to -2, one number would be negative 2. Then, since the other line is going from -2 to 3 that would be a total of 5 points. I believe the answer would be -2 + 5.

Sorry if it's wrong

Have a good day

Answer:

Step-by-step explanation:

=-4z-2

Answer:

18

Step-by-step explanation:

Prime factorization of the numbers:

72 = 2 × 2 × 2 × 3 × 3

90 = 2 × 3 × 3 × 5

162 = 2 × 3 × 3 × 3 × 3

GCF(72, 90, 162)

= 2 × 3 × 3

= 18

Answer: 18

Step-by-step explanation:

Factors for 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors for 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

Factors for 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162

Answer:

6x - 14= 5

Step by Step

Let the cost of one milky way be 'x'

Given -

Initial Amount of money= $14

Final Amount of money= $5

Number of Milky Way= 6

Cost of 6 Milky Ways = 6x

Answer-

6x -14= 5

6x = 5+14

6x = 19

x =$3.1

All the factor pairs are given using the grids:

So,

(Refer to the grids given below)

Therefore, all the factor pairs are given using the grids:

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Answer:

h(x)=-2x²+3

Step-by-step explanation:

Add 5 to -2x²-2.

-2x²-2+5=-2x²+3

h(x)=-2x²+3

Hope this helps!

Please mark as brainliest if correct!

The perimeter of the triangle formed by the points B(7,-9), C(7,-2) and D(0,0) is 25.68 square units.

Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.

The perimeter of a triangle formed by the points B(7,-9), C(7,-2) and D(0,0) can be determined by finding the distance between two points.

The distance between two points A(x1,y1) and B(x2,y2).

√[(x2-x1)²+(y2-y1)²]

Therefore, BC = √(7-7)²+(-2+9)²

BC = √49

BC = 7 square units.

and CD = √(0-7)²+(0+2)²

CD = √53

CD = 7.28 square units.

and DB = √(7-0)²+(-9-0)²

DB = √130

DB = 11.40 square units.

Therefore, perimeter of triangle formed from given points is BC+CD+DB =  7+7.28+11.40 = 25.68 square units.

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The equation to represent the relationship between Distance and Time will be 52y = x, where Speed remains constant

In the given question, it is said that the train runs along a distance of 156 miles, which takes 3 hours to complete.

The equation that represents the relationship between Speed, Distance, and Time is as follows :

=> Speed = Distance/Time

It is also stated that the train runs at the same speed so the Speed will be constant while deriving the relationship between Distance and Time.

First, we have to find the speed of the train with the given Distance & Time by the formula => S = D/T, where Speed = S, Distance = 156 miles, and Time = 3 Hours

=> S = 156/3 => S = 52 miles/hour

As we got our constant speed for the train, We can now find out the Distance Time relation of the train. By taking Distance = x, Time = y, Speed = 52 miles/hour

                     => 52 = x/y      => 52y = x

Hence, we get the relationship between Distance and Time where Speed is constant at 52 miles/hour

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Answer:

6x = 36 is the correct expression.

Answer:

6x=36 so we divide both side by 6, then we will gate the x =6

Step-by-step explanation:

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

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Answer:

64h^24

Step-by-step explanation:

(4h^4)^4 / 4h^-8

4^4 * h^16 / 4h^-8

64h^24

Step-by-step explanation:

as I said already in my answer to the duplicate post :

(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴h¹⁶

for exponent of exponent we multiply.

n^-a = 1/(n^a)

1/(4h^-8) = 1/4 × h⁸

and together we get

4⁴h¹⁶ × 1/4 × h⁸ = 4³h²⁴

We get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.

We are given some coordinates:

T(0, - 2), U(2, - 1), V(3, - 4)

We have to first plot them on a graph.

Now, we have to reflect them over x - axis.

To reflect over x- axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

For point T:

Additive inverse of - 2 = 2

T' = (0, 2)

For point U:

Additive inverse of - 1 = 1

U' = (0, 1)

For point V:

Additive inverse of - 4 = 4

V' = (0, 4)

Therefore, we get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.

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Check the picture below.

now if the interest rate is 4%, that's in percentage form, we need to use the decimal version of it, namely 4/100 = 0.04, and since we know that x = 1 + r, whilst r = 0.04, that means that x = 1 + 0.04, x = 1.04.

[tex]1000x^3~~ + ~~300x^2~~ + ~~500x\implies 1000(1.04)^3~~ + ~~300(1.04)^2~ + ~500(1.04) \\\\\\ 1124.864~~ + ~~324.48~~ + ~~520 {\LARGE \begin{array}{llll} ~~ \approx ~~ 1969.33 \end{array}}[/tex]

Answer:

c is the answer to it

Step-by-step explanation:

did I help you

(-4, 2)

This point lies on the second quadrant because this point has negative x-axis value and positive y-axis value

(-1, 0)

This point also lies on the x-axis because the y-axis value is zero.

(-4, -6)

This point also lies on the third quadrant because this point has negative x-axis and y-axis values

On the cartesian plane, four regions are created at the point where the X and Y axes intersect at 90 degrees. These regions are known as quadrants. Each of the four quadrants in each plane is therefore bound by one-half of the axes. Depending on where they are in relation to the axes, each quadrant is identified by a Roman numeral and given the names Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.

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cheap answer, to get the x-intercepts, set x = 0 and solve for "y", to get the y-intercept, set y = 0 and solve for "x".

[tex]y-6=4(x+5) \\\\[-0.35em] ~\dotfill\\\\ y-6=4(\stackrel{x}{0}+5)\implies y-6=20\implies y=26~\hfill \stackrel{y-intercept}{(0~~,~~26)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}-6=4(x+5)\implies -6=4x+20\implies -26=4x \\\\\\ \cfrac{-26}{4}=x \implies -\cfrac{13}{2}=x\implies -6\frac{1}{2}=x ~\hfill \stackrel{x-intercept}{\left( -6\frac{1}{2}~~,~~0 \right)}[/tex]

The expression can be rewrite as [tex](4\times6)+(5\times6)[/tex] using distributive property.

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given  expression. The number 6 is divided by two addends. Simply put , multiply each summand by 6 and add the products together.

By using distributive property , we get

[tex](4+5)6=(4\times6)+(5\times6)[/tex]

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Answer:960

Step-by-step explanation:

Answer:

the angle made by that line is tangent

The vertical height of the rocket at the end of the third stage is 83.2 km.

We are provided that the rocket travels first 10 km vertically up (OA), then the rocket travels for 20 km (AC) at an angle of  15° from point A.

Let rocket travels 'a' distance vertically up(AB) during this,

then, rocket travels for travels for 60 km (CD) at an angle of  26° from point C.

Let rocket travels ' b' distance vertically up (BX) during this.

So,

Total Vertical Height Covered = 10 + a + b

So, According to diagram

In ΔABC

[tex]cos \ 15[/tex]° [tex]= \frac{a}{20}[/tex]

[tex]\\a = 20 * cos 15[/tex]° = 19.32km

In ΔCDE

[tex]cos \ 26[/tex]° [tex]= \frac{b}{60}[/tex]

[tex]\\b = 60 * cos 26[/tex]° = 53.9km

Since,

Total Distance = 10 + a +b

Total Distance = 10 + 19.32 + 53.9

Total Distance = 83.2 km

Therefore, Vertical height of the rocket at the end of third stage =  83.2 km

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The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers.

For example:

Find the median of the set {2,5,8,11,16,21,30} .

There are 7 numbers in the set, and they are arranged in ascending order.  The middle number (the 4 th one in the list) is 11.  So, the median is 11.

The center of a data set is also a way of describing the location. The two most widely used measures of the center of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people, order the data, and find the number that splits the data into two equal parts. The median is generally a better measure of the center when there are extreme values or outliers because it is not affected by the precise numerical values of the outliers.

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Answer:

the answer is:

$90 ))

Step-by-step explanation:

100 - 10= 90