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Nikitich [7]
3 years ago
8

Evaluate. (1/4)^−2−(5^0⋅2)⋅1^−1 Enter your answer in the box

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

Hey, Your answer would be 14

Hope This Helps

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How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?
goblinko [34]

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

x^{6} would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

x^{8} would be the answer.

8 0
3 years ago
Each month Javier takes his recycling to the local recycling center where he separates the glass bottles into different
Rasek [7]

Answer:

The population is: all glass recycled

The sample is: the 10 selected glass items.

The parameter is the proportion of: all his glass that is clear

The statistic is the proportion of: the selected glass that is clear

7 0
3 years ago
A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.
liberstina [14]

<u>Answer:</u>

A building makes a 90^{\circ} angle with the ground .The two interior angles are 70^{\circ} and 20^{\circ}

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of 110^{\circ}

And building makes a  90^{\circ} angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.  

Now, we know that, sum of exterior angles and interior angles equals to 180^{\circ}

Here, in the case of ground and ladder, exterior angle is 110^{\circ} and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = 70^{\circ}

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = 20^{\circ}

Hence the two interior angles are  70^{\circ} and 20^{\circ}

7 0
4 years ago
In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of t
SCORPION-xisa [38]

Answer:

The probability distribution for x:"number of children per family for this income group" is:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

Step-by-step explanation:

With the information given we have the relative frequencies of each category.

We know:

\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\

7 0
3 years ago
the moon is a sphere with a radius of 567 km. determine an equation for the ellipse if the distance of the satellite from the su
KIM [24]
A=567 km+900 km
a=1,467 km

b=567 km+169 km
b=736 km

x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1

Please, see the graph in the attached graph.

Thanks. 

3 0
3 years ago
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