MATHEMATICS HIGH SCHOOL

Use the graph of y=e^x to evaluate the expression e^1.5. Round the solurion to the nearest tenth if necessary.

Answers

Answer 1

Answer:

Answer:

$e^(1.5)=4.482$

Step-by-step explanation:

Given: $f(x)=e^x$

We need to find the value of function at x=1.5

Put x=1.5 into f(x)

$f(1.5)=e^(1.5)$

$f(1.5)=4.482$

Now we will verify the result using graph.

First we draw the graph of f(x) and a vertical line x=1.5

Please see the attachment for graph.

Hence, The value of $e^(1.5)=4.482$

Answer 2

Answer: According to my graphing calculator, e^1.5=4.5 which is rounded to the nearest tenth.

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a student picks a raffle ticket from a box and then picks a second raffle ticket without replacing the first raffle ticket

Inequality for 3x+1>x-1

Answers

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.

Answers

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

$Length = 15$

$Width = 30$

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

$Length = 15 + x + x$

$Length = 15 + 2x$

$Width = 30 + x + x$

$Width = 30 + 2x$

The perimeter (P) of the walkway is then calculated using:

$P = 2 * (Length + Width)$

This gives:

$P = 2 * (15 + 2x + 30 + 2x)$

Collect like terms

$P = 2 * (15 + 30+ 2x + 2x)$

$P = 2 * (45+ 4x)$

Open brackets

$P = 2 * 45+ 2 * 4x$

$P = 90+ 8x$

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

Answers

The answer is 2.5 I think not sure

Final answer:

Lamar planted 4/15 of his land with corn. This was obtained by multiplying the fractions 2/3 and 2/5 to give the fraction of the land that was planted with corn.

Explanation:

To solve this problem, we need to find 2/3 of 2/5. Multiplication of fractions is the best method to use here. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.

Here are the steps:

First, multiply the numerators: 2 * 2 = 4
Then, multiply the denominators: 3 * 5 = 15
So, 2/3 of 2/5 is equals to 4/15.

In conclusion, if Lamar planted 2/3 of his 2/5 land with corn, he planted 4/15 of the land with corn.

Learn more about Multiplication of fractions here:

brainly.com/question/9281754

#SPJ2

Simplify the following expression. 7- 5/8 x 7 -7/8 A. 1/14
B. 14
C. 1/49
D. 49

Answers

Answer:

Step-by-step explanation:

$7 - (5)/(8) * 7 - (7)/(8)$

$7 - (35)/(8) - (7)/(8)$

multiple through by 8

56 - 35 - 7 =14

An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal number is mm.

Answers

Answer:

The length of the insect is $0.005$ millimeter

Step-by-step explanation:

The size of the insect is $(1)/(200)$ part of a millimeter

$(1)/(200) = 0.005$ millimeter

The length of the insect is $0.005$ millimeter

Which of the following equations is not exponential?y = 1^x
y = (1/2)^x
y = -2^x

Answers

The equations is notexponential is y = $1^x$ .

What is Exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

The standardform of exponential form is

f(x) = $a^x$