simplify the given expressions and then write your answer in standard form.
1.456×100000000​

[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]

[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]

The volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.

We have given that, the radius of the sphere is 9.1ft.

We have to determine the volume of the sphere

The volume of the sphere  is given by

[tex]V=\frac{4}{3}\pi r^3[/tex]

r is the radius of the sphere

V- is the volume of the sphere

So use the given value in the formula so that,

[tex]V=\frac{4}{3}\pi (9.1)^3[/tex]

[tex]V=3156.55082 ft^3[/tex]

Therefore the volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.

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Answer:3156.6

Step-by-step explanation:

After the hurricane and the disease, 48% of the original population of rats is left.

We have,

After the hurricane, 40% of the rats were wiped out, which means

100% - 40% = 60% of the rats survived.

Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.

This means 100% - 20% = 80% of the rats that survived the hurricane are still left.

To find the percentage of the original population of rats that is left after both events, we multiply the percentages:

Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48

Finally, we convert the decimal value back to a percentage:

Percentage left = 0.48 * 100% = 48%

Therefore,

After the hurricane and the disease, 48% of the original population of rats is left.

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Answer:

[tex] \frac{4}{1} [/tex]

Step-by-step explanation:

[tex]writing \: as \: a \: fraction \: the \\ numerator = 28 \\ denominator = 7 \\ as \: a \: fraction \: it \: is \: \: \frac{28}{7} \\ dividing \: numerator \: and \: denominator \: by \: four \\ = \frac{4}{1} \\ hope \: this \: helps \\ please \: rate \: and \: mark \: brainliest[/tex]

Answer:

a)  $8.80

b)  40%

Step-by-step explanation:

Part (a)

Given:

Original price - discounted price

= $22 - $13.20

= $8.80

Part (b)

percentage = (amount discounted ÷ original price) x 100

                    = (8.80 ÷ 22) x 100

                    = 40%

Hey there!

13/4(2x + 3/4)

= 13/4(2x) + 13/4(2x)

= 13/2x + 39/16

≈ 6 1/2x + 2 7/16

Therefore, your answer is:
13/2x + 39/16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

They are neither,they intersect but not at a 90 degree angleStep-by-step

explanation: hope this helps :)

Answer:

x ≈ 16.2

Step-by-step explanation:

tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × tan56° = 24 ( divide both sides by tan56° )

x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )

Answer:

a) 2 ; b) 0; c) -2 ; d) -1

Step-by-step explanation:

a) f(-4)=2 ;

b) f(0)=0;

c) f(2)= -2 ;

d) f(5)= -1

Answer:

x=9

Step-by-step explanation:

9-6=3

Answer:

-8,0

Step-by-step explanation:

From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

Answer:

Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV

Hope it helps.

Answer: 12

Step-by-step explanation:

Juice 4 multiplied by Dessert 3

Answer:

Point C

Step-by-step explanation:

it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.

Answer:

Point C

Step-by-step explanation:

Step 1:  What point is located at -1/6

We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative.  0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number.  Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.

Answer: Point C

Answer:

B

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

this year's mean = [tex]\frac{7+3.3+2}{3}[/tex] = [tex]\frac{12.3}{3}[/tex] = 4.1

last year's mean = [tex]\frac{5.3+1.6+2.4}{3}[/tex] = [tex]\frac{9.3}{3}[/tex] = 3.1

difference = 4.1 - 3.1 = 1

Answer:

With the area you can find the radius and then substitute the radius in the circumference formula

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees

Answer:

The answer is y= -2

Step-by-step explanation:

(Arrange according to the like terms first)

5y-y+42= 34

4y+ 42-34= 0

4y+ 8= 0

4y= -8

∴ y= -8/4=-2

So, y= -2

Hope it will help.

Answer:

y = -2

Step-by-step explanation:

question : 5y + 42 − y = 34

⇒ 5y + 42 − y = 34

•shifting the +42 to the right side :

⇒ 5y - y = 34 - 42

⇒ 4y = -8

•shifting the 4 to the right side :

⇒ y = -8/4

⇒ y = -2 Answer...

hope that helps...

Answer:

0.132

Step-by-step explanation:

Rolling a die is an independent event.

Chance of not rolling a 1 or 4 is 4/6 or 2/3

[tex]\frac{2}{3} ^5 = \frac{32}{243} = 0.13168[/tex]

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

[tex]\frac{2y}{2} = \frac{56}{2}[/tex]

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

Answer:

z = -1.8, y = 10.2

Step-by-step explanation:

- 2z -2y = -24 (EQ 1)

3z - 2y = -33 (EQ 2)

Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)

Let's target the equation that can leave us with the simplest question to solve

-2z + -2y = -24

-3z + 2y = 33

-5z = 9

(Dividing and switching the negative sign over)

z = -1.8

Plug in Z to solve for y.

-2(-1.8) - 2y = -24

3.6 - 2y = -24

-2y = -20.4

y = 10.4

Answer:

B

Step-by-step explanation:

Angle 1 and angle  3 are alternate interior angles.

Answer: 25 inches

Step-by-step explanation:

24² + 7² = 625

Square root of 625 = 25

Answer:

126 in^2

Step-by-step explanation:

A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation: