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2 years ago

Create a rule to find the nth term. 4096, 2048, 1024, ...

Mathematics

1 answer:

ella [17]2 years ago

8 0

Answer:

n=4096+(n-1)*-2048

Step-by-step explanation:

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Find the Area of the shape (Area of Composite Shapes)

natulia [17]

Answer:

130 inches

Step-by-step explanation:

Area = Length · Width

Solve for the Right Triangle

6 · 11 = 66 inches

Area = Length · Width

Solve for the square

Since the width isn't fully given, we must add 5 + 3 = 8 inches

5 · 8 = 40 inches

Area = Length · Width

Solve for the Rectangle

8 · 3 = 24 inches

Now add the results: 66 + 40 + 24 = 130 in^2

8 0

3 years ago

Lisa decided to start exercising. The first day he jogged 0.5 miles. The next day she plans to jog 0.1 more than the previous da

Marizza181 [45]

Answer:

5.6

Step-by-step explanation:

.5+.6+.7+.8+.9+1+1.1=5.6

5 0

4 years ago

Read 2 more answers

What is the zero of the function

olga_2 [115]

Answer:

$x=6$ (or 6)

Step-by-step explanation:

Set f(x)=0:

$f(x)=\frac{x^2+x-42}{x^2+3x-28}$

$0=\frac{x^2+x-42}{x^2+3x-28}$

$0=x^2+x-42$

$0=(x+7)(x-6)$

$x=-7$ or $x=6$

Now check both solutions:

$f(-7)=\frac{(-7)^2+(-7)-42}{(-7)^2+3(-7)-28}$

$f(-7)=\frac{49-7-42}{49-21-28}$

$f(-7)=\frac{42-42}{28-28}$

$f(-7)=\frac{0}{0}$

Therefore, $x\neq-7$ because there is a hole at $(-7,0)$ . The denominator, in addition, can never be 0, so the function is undefined for $x=-7$ .

$f(6)=\frac{(6)^2+(6)-42}{(6)^2+3(6)-28}$

$f(6)=\frac{36+6-42}{36+18-28}$

$f(6)=\frac{42-42}{54-28}$

$f(6)=\frac{0}{24}$

$f(6)=0$

Since $f(6)=0$ , then $x=6$ is the only zero of the function.

4 0

3 years ago

Triangle ABC is congruent to triangle DEF. what reason can be used to show that line AB is congruent to line DE.

ki77a [65]

If triangle ABC is congruent to triangle DEF, then line AB is congruent to line DE by CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

4 0

4 years ago

The scatterplot to the left shows the cost, C, in thousands of dollars, and living space, z, in square feet (ft) for several hou

Andreyy89

Answer:

f(x) = -22.45x^2 + 92.38x + 1.86

Because the points on the scatter plot show an increase in concentration from 0 hours through 2 hours and a decrease from 2 hours through 4 hours, the relationship shown is best modeled using a quadratic function.

Let's look closely at the two quadratic function choices to determine the key features of their graphs.

Because the coefficient of its x^2 -term is negative, the graph of f(x) = -22.45x^2 + 92.38 + 1.86 will be concave down and have a maximum value.

Because the coefficient of its x^2 -term is positive, the graph of f(x) = 22.45x^2 + 92.38 + 1.86 will be concave up and have a minimum value.

Because the scatter plot shown has a concave down trend, the function that best describes the relationship shown is:

f(x) = -22.45x^2 + 92.38 + 1.86

Step-by-step explanation:

4 0

3 years ago