which expressions is equivalent to 4^3 x 4^x

Answer:

b) The surface area

Step-by-step explanation:

Surface area of sphere formula,

→ 4πr²

Thus, option (b) is the answer.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What does the formula 4πr² give?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

Formula for Volume of a Sphere:-

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

So the answer is not Option A.

Formula for Surface Area of a Sphere:-

[tex]\bold{A=4\pi r^2}[/tex]

This looks exactly like the formula we need.

So the right answer is

[tex]\boxed{\boxed{\underline{\bold{Option\:B}}}}[/tex]

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The statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

Normally distributed data is the distribution of probability which is symmetric about the mean.

Normally distributed data-

In the provided option, option A talks about the height of sunflower, whereas option C talks about the breath of humans.

Thus, the statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

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Answer:

She walked 3/20 more than Cody

Step-by-step explanation:

6/10 = 12/20,  3/4 = 15/20. 15/20 - 12/20 = 3/20

Answer:

3/4 = 15/20
6/10 = 12/20



15/20 > 12/20
Maria walked a further distance of 3/20 miles than Cody.

Step-by-step explanation:

Have a great rest of your day
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Answer:

Approximately [tex]215[/tex] square units.

Step-by-step explanation:

The area of this figure is equal to:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap}\end{aligned}[/tex].

The area of the square is [tex]8^{2} = 64[/tex] square units.

The area of the circle of radius [tex]r = 8[/tex] is [tex]\pi\, r^{2} = 8^{2}\, \pi = 64\, \pi[/tex] square units.

Refer to the diagram attached. In this figure, the overlap between the square and the circle is a sector of radius [tex]r= 8[/tex]. The angle of this sector is [tex]90^{\circ}[/tex]- same as the measure of the interior angle of the square.

The area of this sector would then be:

[tex]\begin{aligned} & \pi\, r^{2} \times \frac{90^{\circ}}{360^{\circ}} = 16\, \pi \end{aligned}[/tex].

Therefore, the area of the figure would be:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap} \\ =\; & 64 + 64\, \pi - 16\, \pi \\ \approx\; & 215 \end{aligned}[/tex].

Answer:

incomplete

Step-by-step explanation:

please send the full information, I can't see students belonging to acers

The approximate ordered pair is the coordinate where both functions graph intercect

That's can be found only by observing graph.

As we observe we find that

The coordinate at where f(x)=g(x) is (3,18)

It means that

at this the values of both the functions are equal

i.e

Answer:

b)  (3, 18)

Step-by-step explanation:

f(x) = g(x) at the point where the two lines intersect.

From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10.  Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).

From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10.  Therefore, from the options given, it must be y = 18.

Therefore, the approximate ordered pair is (3, 18)

Step-by-step explanation:

the area of a rectangle is always

length × width

so, here we have

8x³y³z⁷ × 7x³y⁸z⁴

since we don't have further information about the variables, we can't calculate a specific number, but we can simplify the result expression.

remember, factors with the same base can be combined (when multiplying terms of the same variable by different exponents, we summit add the exponents).

and multiplication is freely commutative : the sequence of factors does not matter.

8x³y³z⁷ × 7x³y⁸z⁴ = 8×7 × x³x³ × y³y⁸ × z⁷z⁴ =

= 56x⁶y¹¹z¹¹

Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17

Answer: 31

Step-by-step explanation:

C = 18w + 53

611 = 18w + 53

- 53 -53

558 = 18w

divide both sides by 18.

558 / 18 = 31

Answer:

Step-by-step explanation:

Solving

In Quadrant II,

In Quadrant IV,

Now

we know tan53=4/3

But it's negative

So tan is either in 2nd or 4th quadrant

For 2nd Quarter

For 4th quadrant

Answer:

B. 4 - 2√10

Step-by-step explanation:

This is the value of x when you plug it into the equation.
Hope this helped!

Hypotenuse H we need

Apply Pythagorean theorem

Answer:

6.5 miles far from the bank.

Step-by-step explanation:

→ AC = 3.9 miles (perpendicular)

→ BC = 5.2 miles (base)

→ AB = x (hypotenuse)

By using Pythagoras theorem the length of AB will be,

→ (Hypotenuse)²=(Perpendicular)²+(Base)²

→ AB² = AC² + BC²

→ AB² = (3.9)² + (5.2)²

→ AB² = 15.21 + 27.04

→ AB = √(42.25)

→ [ AB = 6.5 ]

Hence, friend's house is 6.5 miles away.

Answer:

[tex]\frac{23a^2+6}{12a^2}[/tex]

Step-by-step explanation:

hope this helps:)

Answer:

d= 6

Step-by-step explanation:

radius r = 2.9921129301276 cm

diameter d = 5.9842258602553 cm

circumference C = 18.8 cm

area A = 28.1258615432 cm2

Diameter of circle is 6cm, if the circumference is 18.8 cm

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.

The formula to find circumference is

C=2pi r

Given circumference is 18.8 cm, we need to find diameter.

To find diameter first we need to find radius

18.8=2×3.142×r

18.8=6.284r

Divide both sides by 6.284

r=2.99

We know that Diameter is two times of radius

d=2r

d=2×2.99

d=5.98=6

Hence diameter of circle is 6cm, if the circumference is 18.8 cm

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Answer:

37.66

Step-by-step explanation:

Answer:

80 × 30 = 2,400

Step-by-step explanation:

We can easily round 79 up to 80 and round 31 down to 30. This would make our expression 80 × 30, which is much easier to compute. We just take 8 × 3 (which is 24) and add two zeros onto the end of the number. This yields us an answer of 2,400 which is very close to the actual multiplication of 79 × 31 which is 2,449 (only 49 more than our estimation).

Answer:

A) x - = -10

C) x = 4

Step-by-step explanation:

(x + 3)² = 49

(x + 3)² = 7²

Take square root both sides,

[tex]\sf \sqrt{(x + 3)^2}=\sqrt{7^2}[/tex]

    x + 3   =  ± 7

     x + 3 = +7        ; x + 3 = -7

          x  = 7 - 3     ;       x = -7 -3

          x = 4           ;        x = -10

Answer: C: 10/3

Step-by-step explanation:

An improper fraction is a fraction that's top number (numerator) is bigger than the bottom number (denominator)

Answer:

10/3

Step-by-step explanation:

Improper fractions are fractions where there is a larger number in the numerator than there is in the denominator. The numerator is the number on the top of the fraction, and the denominator is on the bottom. 10 is on top and it is greater than 3, so it is an improper fraction. Improper fractions can also be simplified. 10/3 can be simplified to 3 1/3.

Hope this helps!

Answer: $550

Step-by-step explanation: 2500 * 0.11 = 275    275 * 2 = 550

Answer:

13.5

Step-by-step explanation:

Answer:

g(x) = log( x + 1 ) + 4

Step-by-step explanation:

f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.

Answer: I believe it would be when a pair of lines intersect, all of the angles formed are congruent.

Answer:

When a pair of lines intersect, the vertical angles are congruent.

:)

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

73 divided by 8 equals 9 with a remainder of 1.

To find the quotient and remainder when dividing 73 by 8, we perform long division.

Here's how it works:

We start by dividing the first digit of the dividend (7) by the divisor (8). Since 7 is smaller than 8, the quotient will be 0, and the remainder will be 7.

We bring down the next digit from the dividend, which is 3, making the new number 73.

Now, we divide 73 by 8. The largest multiple of 8 that fits into 73 is 9 (8 times 9 equals 72). So, the quotient becomes 9.

We subtract 72 (8 times 9) from 73, resulting in a remainder of 1.

Therefore, 73 divided by 8 equals 9 with a remainder of 1.

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Answer:

here is the answer y = 15× - 80

Answer:

59.5

Step-by-step explanation:

First we have to multiply 7 by 17 (7x17).

Then you have to divide it by 2.

1/2 X base x height

You meant x³ = 1/8? Then x = 1/2

The equation of the line will be given as y = -4x - (- 17/ 4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

[tex]m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4[/tex]

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

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