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3 years ago

8.Which statement best describes the conditions for

Mathematics

2 answers:

Kamila [148]3 years ago

8 0

Answer:

<h2>C. $0$ </h2><h2>Step-by-step explanation:</h2>

The given function is

$f(x)=a(b)^{x}$

Exponential functions which have the independent variable as an exponent.

Moreover, these functions can express decay or growth. If the exponential function is decreasing, that will express decay.

Specifically, the condition to have a decreasing exponential function is that $0$ , that is, the base of the power must be between zero and one.

This means that the right answer is C, because expresses this condition for exponential decay.

frutty [35]3 years ago

7 0

Answer:

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A’B’C’ is a dilation image if ABC which is the correct description of the dilation

Sav [38]

Answer:

The dilation is an enlargement

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate

Let

z------> the scale factor

$z=\frac{A'C'}{AC}$

substitute the values

$z=\frac{2+8}{2}$

$z=\frac{10}{2}=5$

The scale factor is greater than 1

therefore

The dilation is an enlargement

3 0

3 years ago

Read 2 more answers

Just help please need to pass

Anni [7]

Answer: $\frac{1}{10}$

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

$\frac{3*2}{5*2}$ = $\frac{6}{10}$ We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

$\frac{1*5}{2*5}$ = $\frac{5}{10}$

Finally, subtract the two fractions to find the difference between the two times:

$\frac{6}{10} -\frac{5}{10}$ = $\frac{1}{10}$

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

7 0

3 years ago

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Help!!!!!!!!!!!!!!!!!!!!!!!

Margarita [4]

Step-by-step explanation:

y is 130° too because it's an alternative angle love

8 0

3 years ago

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11. Let f(x) = 2x² + 7x + 5

Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0

3 years ago

You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second