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3 years ago

How many milliliters are 30 teaspoons? 1 tsp=5mL

Mathematics

1 answer:

bagirrra123 [75]3 years ago

6 0

Answer:

Step-by-step explanation:

1 ts = 5 ml

5*30 =150

30 ts=150 ml

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Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

2 years ago

Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)

alexgriva [62]

Answer:

10x + 5

Step-by-step explanation:

x = some number

10x = 10 multiplied by 'x'

10x+5 = five more than 10 multiplied by some number

4 0

1 year ago

Question 1: Describe in words the region of double-struck R3 represented by the equation: x2 + z2 ≤ 36.

Ganezh [65]

Step-by-step explanation:

1) i will asume x2 and z2 are squares here.

ok, here we only have restrictions to x and z, so y can take all the values in R.

$x^{2} + z^{2} \leq 36$ is a circle of radius 6, you can see this if for example we set z = 0, then x goes from -6 to 6, the same if we set x = 0 then z goes from -6 to 6.

and the equation $x^{2} + z^{2} \\$ describes a circle.

So here, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.

2) you tipped the same inequality but different numbers in the right side, here i think you are saying that the inequalities describes the set of all points whose distance from the y-axis is equal or less tan 6.

7 0

2 years ago

Which function has no horizontal asymptote?

xxMikexx [17]

A rational function has no horizontal asymptote when the degree of the numerator is greater than the denominator.

In other words, where the numerator has a higher exponent than the denominator.

Answer:
C) exponent on top is 2, exponent on bottom is 1

3 0

2 years ago

Read 2 more answers

Glen invited 25 people to his birthday party.

Trava [24]

Answer:

20% of the invited people did not attend

Step-by-step explanation:

5 out of 25 people invited didn't attend Glen's party. That means the following:

$\frac{5}{25}$ people didn't come which simplifies to $\frac{1}{5}$