What is the base when the expression (-1.5)2 • (3.2)5 is written as a single power of 5?

The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

The given parameters are

New value = £16,500

Rate of decrease = x%

Let the initial value of the Sally's caravan be represented by y

So, we have the following equation

Initial value  * (1 - Rate of decrease) = New Value

This gives

y * (1 - x%) = 16,500

Divide both sides of the equation by y

So, we have

1 - x% = 16500/y

This gives

x% = 1 - 16500/y

Multiply through by 100

x = 100 - 1650000/y

Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

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Answer:

f(x)g(x) = 2x² - 6x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = x - 3

Step 2: Find f(x)g(x)

Answer:

$22.50

Step-by-step explanation:

The constant of proportionality is 4, while the equation is given as y = 4x.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent number of mines and y represent the number of gems. Since this is a proportional relationship, hence:

y = kx; where k is the constant of proportionality

From the table when y = 4, x = 1, hence:

4 = k(1)

k = 4

y = 4x

The constant of proportionality is 4, while the equation is given as y = 4x.

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Answer:

slope = 2

Step-by-step explanation:

work is in the picture if you need it... please mark brainiest

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

Given that the number of pieces of bling = x = 9

Thus,

[tex]y = 1.36x+1.54[/tex]

 [tex]= 1.36(9)+1.54[/tex]

 [tex]=12.24+1.54[/tex]

 [tex]=13.78[/tex]

Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

Answer:

3

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

220/5=44 miles an hour

88/44=2

2 hours

The solution is 2 hours

Total time it will take Montraie to travel a distance of 88 miles is 2 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total time for Montraie to drive 88 miles be = A

The distance traveled by Montraie be D

The value of D = 220 miles

The time taken by Montraie to travel 220 miles is T = 5 hours

Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie

Substituting the values in the equation , we get

The speed of Montraie S = 220 / 5

The speed of Montraie S = 44 miles per hour

Now , the distance traveled by Montraie = 88 miles

So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S

Substituting the values in the equation , we get

The time taken by Montraie to travel 88 miles = 88 / 44

The time taken by Montraie to travel 88 miles A = 2 hours

Therefore , the value of A is 2 hours

Hence , The total time it will take Montraie to travel 88 miles is 2 hours

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Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

The intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

The interval in which the y - coordinate of the points gets larger, or the graph gets higher as it moves from left to right over the interval is called increasing interval. Similarly, the interval in which the y - coordinate of the points gets smaller or the graph gets lower as it moves from left to right over the interval is called decreasing interval.

Given is the following function f(x) -

f(x) = x³ + 3x² - 4x - 12

First, we will plot the graph of this function. The graph is attached with the answer. On the graph, there are two black dots. From the definition of increasing functions, we know that the interval along which the y - coordinate gets larger is called increasing interval of the function. The first interval over which the function is increasing is-  x ∈ (- ∞, - 2.5). The second interval over which the function is increasing is- x ∈ (0.5, ∞).

Therefore, the intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

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Answer: No

Step-by-step explanation:

Because 52/1 is just plain 52

But 1/52 is one thing out of 52 of them.

So 52/1 is just the number 52 versus 1/52 is one of fifty-two.

Answer:

Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.

Step-by-step explanation:

Hope this helped and please tell me if I'm incorrect :)

The cost per passenger for quiescent (no wind) conditions is $252.33.

It should be noted that based on the information given, the cost function that was illustrated in the question is:

C(x) = 175 + x/25 + 32000/x

In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.

Therefore, the cost per passenger for quiescent conditions will be:

C(x) = 175 + x/25 + 32000/x

where x = 600

C(x) = 175 + x/25 + 32000/x

C(x) = 175 + 600/25 + 32000/600

C(x) = 175 + 24 + 53.33

C = $252.33

Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33

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The kinetic energy of hammer is 25 m/s.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

given that

the mass of the hammer is 0.50 kg.

The velocity of the hammer is 10 m/s.

now find the kinetic energy of the hammer.

[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]

[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]

kinetic energy = 0.25 X 100

kinetic energy = 25 m/s.

Hence, the kinetic energy of hammer is 25 m/s.

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A. The equation for x is c - b/a

B. x = 4

x = 10

Given the equation;

ax + b  = c

Let's make 'x' the subject of formula by expressing it in terms of other variables

We have;

ax = c - b

Divide both sides by the coefficient of 'x'

ax/a = c - b/ a

x = c - b/a

B. 3x + 7 = 19

Let's solve for x

3x = 19 - 7

3x = 12

Make 'x' the subject

x = 12/ 3

x = 4

1/2x  = 5

cross multiply

x = 5 × 2

x = 10

Thus, the equation for x is c - b/a

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Answer:

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

Answer:

2812+1845

=4657

step 2

=8500-4657

=3843

he must sell 3843 books in the next 2 months

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps!

Answer:

there you go took me a second but I got it

Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Answer:

8x - 20

Step-by-step explanation:

P.S Can I have brainliest?

Step-by-step explanation:

=4(2x-5)

=8x-20

hope it helps.

Answer:

it would 4,446.41

Step-by-step explanation:

Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

Answer:

9 x 9 x 9 x 9

Step-by-step explanation:

9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9