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Answer:

10

Step-by-step explanation:

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

[tex]S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m[/tex]

Answer:

D

Step-by-step explanation:

Of these four functions, D is the only one that has an inverse.  The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.

Answer:

(45x)

Step-by-step explanation:

(13x+9x) + (17x+6x)

(22x) + (23x)

(45x)

// have a great day //

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

The inequality that represents all x values is [tex]x \ge 4[/tex]

The expression is given as:

[tex]\sqrt{x - 4} \cdot \sqrt{x + 1}[/tex]

Set the radicands to >=0

[tex]x - 4 \ge 0[/tex] or [tex]x + 1 \ge 0[/tex]

Solve for x in both inequalities

[tex]x \ge 4[/tex] or [tex]x \ge -1[/tex]

When [tex]x \ge -1[/tex], the first radicand is irrational from some x values

Hence, the inequality that represents all x values is [tex]x \ge 4[/tex]

Read more about inequalities at:

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Answer:

4

Step-by-step explanation:

Whatever you multiply or divide to the numerator, you do to he denominator.

Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

In this question we are presented with  [tex]\frac{12}{16}[/tex]  and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,

[tex]\frac{12}{16}[/tex]   →  Half the numerator and the denominator →  [tex]\frac{6}{8}[/tex]  →  Half the numerator and the denominator again →  [tex]\frac{3}{4}[/tex]

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

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Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

Answer:

a

Step-by-step explanation:

100n^2 = (10n^2)

-1 = -(1^2)

Answer:

So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.

Answer:

25 degrees below zero, -3, 32, 34, 78

Answer:

D. Yes, because the amount of money on her gift card should decrease each week.

Step-by-step explanation:

The amount of money on the gift card decreases every Friday as it states in the problem.

Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be  decrease and Lastly, of course, they should not start at the origin as they started at $75.00.

The amount of money on the gift card decreases every Friday as it states in the given situation.

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Answer:

A) KJ AND JH

Step-by-step explanation:

EF = JH  The three lines indicate they are equal

EK = GH  The one line indicates they are equal

KJ = FG  The two lines indicates they are equal

Answer:

A) KJ and JH

Step-by-step explanation:

Answer:

$10.25

Step-by-step explanation:

95/.1=9.5

9.5*9=85.5

85.5/8

=10.25

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

Answer:

120 - x - 9 past 10am

Step-by-step explanation:

Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.

Answer:

The Answer is 120 - x - 9 past 10am

Step-by-step explanation:

Hope this helps. :,-)

Answer:

D.

Step-by-step explanation:

You cannot plan your thoughts if you are just thinking out loud.

Answer:

144-36π sq. in.

Step-by-step explanation:

In this problem, we have a pair of like terms in our x terms.

3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.

______________________________

Hey!!

3x and -2x are the like terms.

Explanation:

To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.

Hope it helps

Good luck on your assignment

_____________________________

Answer:

you're on a computer, you can literally just look up the answer.

Step-by-step explanation:

For anyone here who comes from edge.

Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?

The answer is A ; 25 mm2. I got it right on edge

Answer:47

Step-by-step explanation:

On first roll Mike gets 4 and 3

So number he gets after subtraction of square is

[tex]\Rightarrow 4^2-3^2=7[/tex]

On second roll Mike gets 6 and 2

So number he gets after subtraction of square is

[tex]\Rightarrow 6^2-2^2=32[/tex]

On Third roll Mike gets 3 and 1

So number he gets after subtraction of square is

[tex]\Rightarrow 3^2-1^2=8[/tex]

Sum of numbers[tex]=7+32+8=47[/tex]

John obtains [tex]47[/tex] as sum

[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

The product of the given expression is;

B: 10x^(5) • y√(6xy)

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

√[(5x^(8) × 10x³) × (y² × 12y)]

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

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Answer:

( About ) 1.01371e + 16 ways

Step-by-step explanation:

You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).

Thus, take a look at the procedure below;

[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]

This is an approximate answer mind you, so I hope that still helps!

Answer:

linear

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

It has mathematical proportion

Answer:

no solution

Step-by-step explanation:

Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.

In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.

If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.

Let's assume the system of equations is represented as follows:

Equation 1: x + y = -8

Equation 2: 2x + 2y = -16

Substituting (-4, -4) into the equations:

Equation 1: -4 + (-4) = -8 (True)

Equation 2: 2(-4) + 2(-4) = -16 (True)

Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).

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The complete question is, "Based on this work, what is the solution to the system?

a. (-4, -4)

b. (0, 0)

c. no solution

d. infinitely many solutions"

Answer:

substitution, and 2) elimination

Step-by-step explanation:

Step-by-step explanation:

elimination

substitution

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Answer: c

Step-by-step explanation:

Answer:

Subtract both sides by 2x

Divide each side by 6

Step-by-step explanation:

2x+6 = 8x

Subtract both sides by 2x

2x+6 -2x = 8x-2x

6 = 6x

Divide each side by 6

6/6 = 6x/6

1 =x