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Evgen [1.6K]
3 years ago
6

A number increased by 3 and then multiplied by 5 is at least -10. What are the three lowest natural number values this can be?

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Step-by-step explanation:

It is impossible for the number values of this number to be a natural number since natural numbers are defined as being positive integers while the number "x" has to be less than -5 to satisfy the equation.

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In Exercises 15-17, solve the equation.
WINSTONCH [101]

Answer:

15. t = 312

16. y = 0

17. n = -1.75 and 0

Step-by-step explanation:

4 0
3 years ago
Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle
Anika [276]

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

The fence is triangular and a right triangle.

<h3>Right triangle:</h3>

A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.

c² = a² + b²

17² - 8² = b²

b = 15 ft

AC = 15 ft

perimeter of the triangle = 15 + 8 + 17 = 40 ft

Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²

Therefore,

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

learn more on right angle triangle here; brainly.com/question/2192748

8 0
2 years ago
Simplifying inside parentheses first pt. 2
Brut [27]

Answer:

The answer to your question is the second option

Step-by-step explanation:

Process

Simplify using exponents laws, first inside the parentheses and then outside the parentheses.

                             [\frac{a^{-2}b^{2}}{a^{2}b^{-1}} ]^{-3}

a) Simplify a

                        a⁻² a⁻² = a⁻⁴

b) Simplify b

                        b² b¹ = b³

c) Write the result

                        [\frac{b^{3}}{a^{4}}]^{-3}

d)                      [\frac{a^{4}}{b^{3}}]^{3}

e) Simplify

                       \frac{(a^{4})^{3}}{(b^{3})3}

f) Result

                      \frac{a^{12}}{b^{9}}

5 0
4 years ago
Rearrange the formula F = mg + ma for a.
Ivan
<span>draw out a triangle and then create three boxes inside by drawing a T. In each of the boxes you've created you need to put one of the letters from the equation. The equation you currently have is F= m*a. To rearrange this equation put the m and the a into the bottom boxes and the F above. Because there is a vertical line between the m and the a, this means you times them. If there is a horizonal line between two letters you divide them. So to find a, you must divide F by m. </span>
4 0
3 years ago
Read 2 more answers
(ab2 + 4a2 + 6a2b2) − (−ab2 + 2a2b2 + 4a2)
Xelga [282]

For this case we have the following expression:

(ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2) - (- ab ^ 2 + 2a ^ 2b ^ 2 + 4a ^ 2) =

We must simplify taking into account that:

- * - = +\\- * + = -

So, we have:

ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2 + ab ^ 2-2a ^ 2b ^ 2-4a ^ 2 =

We add similar terms:

ab ^ 2 + ab ^ 2 + 4a ^ 2-4a ^ 2 + 6a ^ 2b ^ 2-2a ^ 2b ^ 2 =\\2ab ^ 2 + 4a ^ 2b ^ 2

Answer:

2ab ^ 2 + 4a ^ 2b ^ 2

7 0
3 years ago
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