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3 years ago

Write the sentence as an inequality. One-third of a number t is less than or equal to 5

Mathematics

1 answer:

Gala2k [10]3 years ago

8 0

Answer:

1/3t ≤ 5

there is your answer

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Find the values of y = p(x) = √x for<br> x = 0, 1.44, 2.25, 3.24, 4.41, 5.29

zhenek [66]

P(x) = √x

for x = 0 → √0 = 0 and p(0) = 0
for x = 1.44 → √1.44 =1.2 and p(1.44) = 1.2
for x = 2.25 → √2.25 = 1.5 and p(2.25) = 1.5
for x = 3.24 → √3.24 = 1.8 and p(3.24) = 1.8
for x = 4.41 → √4.41= 2.1 and p(4.41) = 2.1
for x = 5.29 → √5.29 = 2.3 and p(5.29) = 2.3

6 0

3 years ago

Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.

natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is $y=x-x^2-2$ and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

$y'=1-2x$

It can be written as

$\frac{dy}{dx}=1-2x$

Use variable separable method to solve this differential equation.

$dy=(1-2x)dx$

Integrate both the sides.

$\int dy=\int (1-2x)dx$

$y=x-2(\frac{x^2}{2})+C$ $[\because \int x^n=\frac{x^{n+1}}{n+1}]$

$y=x-x^2+C$ ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

$-2=1-(1)^2+C$

$-2=1-1+C$

$-2=C$

The value of C is -2. Substitute C=-2 in equation (1).

$y=x-x^2-2$

Therefore the solution of the given initial value problems in explicit form is $y=x-x^2-2$ .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0

3 years ago

Louisa wants to buy an online movie subscription that is on sale for 15% off. She writes the expression c − 0.15c to represent t

Tpy6a [65]

Answer:

#UseSimplifiedExpression

Step-by-step explanation:

6 0

2 years ago

Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal

horrorfan [7]

When a fraction corresponds to a repeating decimal, it's denominator is 9 or 99.

For example, 4/11 = 36/99 = 0.36 with bar notation over 36.

Example #2: 2/3 = 6/9 = 0.666....
or also written as 0.6 with bar notation over 6.

You know a fraction responds to a terminating decimal because it can be simplified to a terminating decimal.

Example: 2/4 = 0.5

8 0

3 years ago

Find the value of x in each figure

Angelina_Jolie [31]

Answer:

20...90°-46°

=44°

therefore 44÷4

=11

therefore x=11

21....90°-20°

=70°

70-15

=55

therefore x=55°

22...90°÷3

=30

THEREFORE X=30°

6 0

2 years ago