which expression is equivalent to (64y^100)^1/2

Answer:

Fraction can't be reduced (simplified). /7 = - 15/7 = - 2 1/7 = - 2.142857142857; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.

Step-by-step explanation:

2 1/7 Is Your Answer.

First, divide the numerator (the 15) by the denominator (the 7). This will give

you 2, with a remainder of 1.

The mixed number can be created by using the 2 as the whole number, the 1 as the numerator

and the 7 as the denominator.

Answer:

The correct answer option is A. positive.

Step-by-step explanation:

When an exponent or a power is an even number and the base is a negative number, the value is always positive.

Suppose we have a negative base [tex] - 3 [/tex] and a power which is even, lets say, [tex] 6 [/tex] so what we get is a positive value.

[tex](-3)^6=729[/tex]

Therefore, a negative base with even power is always a positive value.

Answer: A. positive

Step-by-step explanation:

We know that powers are written in this form:

[tex]b^m[/tex]

Where "b" is the base and "m" is the exponent.

By definition, the exponent indicates how many times to base must be multiplied by itself. Then, if the base is negative and the exponent is an even number, you get:

[tex](-3)^4=(-3)(-3)(-3)(-3)=81\\\\\\(-2)^2=(-2)(-2)=2\\\\\\(-5)^6=(-5)(-5)(-5)(-5)(-5)(-5)=15,625[/tex]

Therefore, when an exponent of a power is an even number and the base is a negative number, the value is always positive.

Answer:

21.325 is the correct answer

Answer: 21.325

Explanation: 12.195+9.13

Answer:

it is 170 degrees

Step-by-step explanation:

Answer: The image will be the same shape by all the sides will be 4 times larger than the original triangle but all 3 angles will be the same as the original.

Step-by-step explanation:

Answer:

it is very simple -5 =(5)(-1)=(x+4)(2x-3).so compare( 5)=(x+4) and (x=1) it can be solved by mind.....(2x^2)+5x-7=0 then

These are the steps.

1. Write out the equation.

2. FInd any whole numbers and put them together and find any variables and put them together, both in parentheses.

3. Solve both equations in parentheses.

4. Divide -5 by 3 to find x. The answer is on step 5.

[tex]1. (2x - 3)(x + 4) = -5\\2. (-3 + 4)(2x + x) = -5\\3. (1)(3x) = -5\\4. 3x = -5\\5. x = -1.66[/tex]

Answer:

interest earned= 1853.98

the future value of an annuity= 2453.98

Step-by-step explanation:

Given Data:

Interest rate= 9%

time,t = 16 years

Semi-Annual payment, P= 600

n= 2 as Semi-Annual

At the end of 16 years, final investment A= ?

As per the interest formula for compounded interest

A= P(1+r/n)^nt

Putting the values in above equation

= 600(1+0.09/2)^32

= 2453.98

Interest earned = A-P

                          = 2453.98-600

                          = 1853.98 !

Answer:

1. 64cm² , 2. 240yd² , 3.≈220.5cm² , 4.≈193.4m² , 5. 38.6ft² , 6. ≈78.1yd² , 7. ≈120.7

Step-by-step explanation:

1. A=12x4.5+2x5 , 2. A=24x8+0.5x12x8 3. A=0.5x16x15+0.5x8²π ,4. A=7x15+0.5(15/2)² 12 ,5. A=3.6(16/2)+0.5x7x2.8 ,6. A=8(16/2)+0.5x9π ,7. A=(8/4)x5²xcot(180/8)

Answer:

64 inches  : cross-section, cube, 16 inches

26 inches  : right rectangular prism, 10x 3 x 14 inches

48 inches  : cube with 12-inches edges

34 inches : rectangular prism, 5x12x4 diagonal of 13 inches

Step-by-step explanation:

right rectangular prism, 10x 3 x 14 inches

The cross-section is parallel to the base, so it cuts the height, maintaining the length and width.  So, we have:

P = 10 + 3 + 10 + 3 = 26 inches

cube with 12-inches edges

This time, the cross-section is done perpendicular to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.

P = 12 + 12+ 12 + 12 = 48 inches

rectangular prism, 5x12x4 diagonal of 13 inches

The cut is done perpendicular to the base, but along a diagonal of 13 inches, so the height is preserved, and the diagonal length becomes the new side other than height.

P = 13 + 4 + 13 + 4 = 34 inches

cross-section, cube, 16 inches

Again, the cross-section is done parallel to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.

P = 16 + 16 + 16 + 16 = 64 inches.

Answer:

points

Step-by-step explanation:

Answer: flower vase

Step-by-step explanation:

A container that has a liquid volume of about 1 liter at home is typically a soda bottle. A liter is a metric unit of capacity and is equivalent to 1,000 cubic centimeters or milliliters, making it a convenient measure for everyday use.

An example of a container that you might find at home which, when filled, has a liquid volume of about 1 liter is a soda bottle. Liters and milliliters are metric units for measuring capacity. A liter is a convenient measure for everyday liquid volumes and is commonly used for beverages and other liquids in the home. Since a liter is equal to 1,000 milliliters, and taking into account that a juice box holds about 25 centiliters, which is 250 milliliters, a soda bottle's capacity is approximately four times that of a typical juice box. It's interesting to note that the liter can also be connected to cubic meters, as 1 liter is the same as 1,000 cubic centimeters (1,000 cm³), making these units interchangeable.

D. Is a convex shape.

A convex shape will have no angles less than 180 degrees pointing inward. A, B, and C all have at least one of these angles. Whereas D, only has outward angles.

Only the shape D is convex structure.

A form that curves outward is convex.

We know that the convex structure has no inward shape.

In the shape A,B and C;

all of the shape have inward structure.

Whereas shape D has only outward structure.

Therefore, Only shape D is convex.

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Answer:

Options A and D.

Step-by-step explanation:

To check the identities we have to check each option given.

A. tan(x - π) = tanx

We take left hand side (L.H.S.) of the equation.

tan(π - x) = tanx [ since we know tan(π ± x) = tanx ]

So L.H.S. = R.H.S.

It's an identity.

B. sin(x + y) + sin(x - y) = 2cosx siny

We take L.H.S. first

sin(x + y) + sin(x - y)

= sinx coxy + siny cosx + sinx cosy - cosx siny

= 2sinx cosy ≠ R.H.S.

Option B is not an identity.

C. cos(x + y) - cos(x - y) = 2cosx cosy

We take L.H.S. of the equation.

cos(x + y) - cos(x - y) = cosx cosy - sinx siny - (cosx cosy + sinx siny)

= -2sinx siny ≠ R.H.S.

Therefore, option C is not an identity.

D. cos(x + y) + cos(x - y) = 2cosx cosy

We take L.H.S. of the equation.

cos(x + y) + cos(x - y) = cosx cosy - sinx siny + cosx cosy + sinx siny

                                  = 2cosx cosy = R.H.S.

Therefore, option D is an identity.

Options A and D are the identities.

Answer:

Option C is correct.

Step-by-step explanation:

Equation 1 |4x − 3|− 5 = 4

Adding +5 on both sides

|4x − 3|− 5 +5 = 4 +5

|4x − 3| = 9

Apply absolute rule:

IuI = a and a>0 then u = a and u = -a

so, 4x-3 = 9 and 4x-3 = -9

Solving

4x = 9+3   and 4x = -9+3

4x = 12      and 4x = -6

x = 12/4     and x = -6/4

x = 3          and x = -3/2 or -1.5

Equation 2 |2x + 3| + 8 = 3

Adding -8 on both sides

|2x + 3| + 8 -8 = 3 -8

|2x + 3|  = -5

Apply absolute rule:

IuI = a and a>0 then u = a and u = -a

But we cannot apply absolute rule because in our case a < 0 i.e -5

So, Equation 2 has no solutions.

Hence Option C The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution is correct.

Answer:

(5, - 9)

Step-by-step explanation:

Given

f(x) = (x - 8)(x - 2) ← in factored form

Find the zeros by equating f(x) to zero, that is

(x - 8)(x - 2) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x - 2 = 0 ⇒ x = 2

The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence

[tex]x_{vertex}[/tex] = [tex]\frac{8+2}{2}[/tex] = 5

Substitute x = 5 into f(x) for corresponding y- coordinate

f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9

vertex = (5, - 9)

Answer: (5,-9)

Step-by-step explanation:

Make the multiplication indicated:

[tex]f(x) = x^2-2x-8x+16[/tex]

Add the like terms:

[tex]f(x) = x^2-10x+16[/tex]

Now find the x-coordinate of the vertex with this formula:

[tex]x=\frac{-b}{2a}[/tex]

In this case:

[tex]b=-10\\a=1[/tex]

Then:

[tex]x=\frac{-(-10)}{2(1)}=5[/tex]

Rewrite the expression with [tex]f(x)=y[/tex]

[tex]y = x^2-10x+16[/tex]

Now substitute [tex]x=5[/tex] into the function to find the y-coordinate of the vertex:

[tex]y = (5)^2-10(5)+16[/tex]

[tex]y =-9[/tex]

Therefore, the vertex is:

(5,-9)

Answer:

25.13

Step-by-step explanation:

Since the Diameter is 8 the equation to find the Circumference is pi time D

3.14 x 8 equals 25.13274...

let's recall that the radius of a circle is half of the diameter, now, if the diameter say "d" got enlarged 8 times, to it became 8d, then the radius "r" got enlarged 8 times as well, namely 8r.

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} r=8r \end{cases}\implies \stackrel{\textit{is 8 times larger than that of the original}}{C=2\pi (8r)\implies C=\stackrel{\downarrow }{8}[2\pi r]}[/tex]

Answer:

Divide by 6

Step-by-step explanation:

The reverse or inverse of multiply by 6 is divide by 6.

Answer:

0.028

Step-by-step explanation:

0.08 Is Bigger Than 0.028

Answer:

The equation of the line is y = 7x - 10

Step-by-step explanation:

* Lets revise the form of the equation

- The form of the equation of a line is y = mx + c , where m is the slope

  of the line and c is the y-intercept

- The y-intercept means the line intersect the y-axis at point (0 , c)

- The slope of the line which passes through points (x1 , y1) , (x2 , y2)

 is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

* Lets solve the problem

∵ The y-intercept is y = -10

∴ The line intersects the y-axis at point (0 , -10)

∵ The line passes through the points (2 , 4) and (0 , -10)

- Lets find the slope of the line using the rule of the slope above

∵ [tex]m=\frac{-10-4}{0-2}=\frac{-14}{-2}=7[/tex]

∴ The slope of the line is 7

∵ c is the y-intercept

∵ The y-intercept is y = -10

∴ c = -10

∵ y = mx + c

∴ y = 7x + -10

∴ y = 7x - 10

* The equation of the line is y = 7x - 10

Multiply the given dimensions by the scale factor of 4:

2 x 4 = 8

3 x 4 = 12

6 x 4 = 24

The volume of a pyramid is found by multiplying the Length x the width x the height and dividing by 3:

Volume = (8 x 12 x 24) / 3

Volume = 2304 / 3

Volume = 768 cubic units.

The answer is D.

The volume of the larger pyramid is 768 units³.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A machine assembly requires two pyramid-shaped parts.

Volume of the pyramid = 1/3 × base area × height

If the larger pyramid has a scale factor of 4, each dimension is 4 times this pyramid.3

Base area of the larger pyramid = (4 × 3) × (4 × 2)

                                                     = 96 units²

Volume of the larger pyramid = 1/3 × 96 × (6 × 4)

                                                 = 768 units³

Hence the required volume is 768 units³.

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Final answer:

The probability that a given event does not occur in any of the trials when an experiment is repeated n times is calculated using the formula (1 - P(A))^n, where P(A) is the probability of the event occurring in a single trial.

Explanation:

The question is about finding the probability that a given event does not occur in any of the trials when an experiment is repeated n times. Let's denote the probability of the event occurring as P(A) and the probability of the event not occurring as P(~A). The probability that an event does not occur in a single trial is 1 - P(A). Therefore, if the experiment is repeated n times independently, the probability that the event does not occur in any of these trials is given by (1 - P(A))^n. This formula arises from the principle that for independent events, the probability of both events A and B occurring is the product of their individual probabilities, P(A) and P(B). Since each trial is independent, and we are looking for the event not happening across all n trials, we multiply the probability of it not happening in one trial by itself n times.

ANSWER

B) (m+p,n+r)

The coordinates are :

A(2m,2n)

B(2p,2r)

To find the x-coordinate of the midpoint of AB, we add the x-coordinates of the two points and divide by 2.

[tex]x = \frac{2m + 2p}{2} [/tex]

Factor

[tex]x = \frac{2(m + p)}{2} [/tex]

Simplify:

[tex]x = m + p[/tex]

Similarly, the y-coordinate is

[tex]y = \frac{2n + 2r}{2} [/tex]

[tex]y = \frac{2(n + r)}{2} [/tex]

[tex]y = (n + r)[/tex]

Hence the midpoint is

(m+p,n+r)

Answer:

A =  617 yd², to the nearest yard

That distance is called the "circumference," and its formula is C = 2πr.

We need r to find the area of the park.  So we solve C = 2πr for r:

          C

r   = -------    

        2π

Substituting 88 yd for C, we get r = (88 yd) / (6.28) = 14.01 yd

The formula for the area of this circular park is A = πr².

Here, r = 14.01 yd, so the area of this park is:

A = π(14.01 yd)² = 3.14(196.36 yd²) = 617 yd², to the nearest yard.

The area of the park is [tex]A = 617 yd^2[/tex], to the nearest yard.

That distance is called the circumference and

We have to determine the area of the park

The circumference of the circle is C = 2πr.

We need r to find the area of the park.

So we solve C = 2πr for r:

[tex]r=\frac{C}{2\pi}[/tex]

Substituting 88 yd for C,

We get r = (88 yd) / (6.28)

r= 14.01 yd

The formula for the area of this circular park is

A = πr².

Here, r = 14.01 yd, so the area of this park is,

[tex]A = \pi (14.01 yd)^2[/tex]

[tex]A = 3.14(196.36 yd^2)[/tex]

[tex]A = 617 yd^2[/tex], to the nearest yard.

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Answer:3360

Step-by-step explanation:

The number line for the inequality n < -3 would have an open circle at -3 and be shaded to the left, representing all numbers less than -3.

When considering the inequality n < -3, the number line that represents the solutions to this inequality would show all the numbers that are less than -3. This means that any point to the left of -3 on the number line would be shaded to indicate that it is part of the solution set. Additionally, the number -3 would typically be represented with an open circle, indicating that -3 is not included in the set of solutions because the inequality is strictly less than, not less than or equal to.

If you were to graph this inequality on a number line, you would start at the point -3 and shade everything to the left of -3 going towards negative infinity. This visualization shows that n can take any value that is less than -3. Therefore, the number line for the solutions of n < -3 would look like a horizontal line with an open circle at -3 and a shaded region extending to the left from -3.

Answer:

[tex]b = 17[/tex]

Step-by-step explanation:

For this triangle we have to

[tex]a=18.2\\B=62\°\\C=48\°[/tex]

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

[tex]A + 62 +48=180\\\\A=180-62-48\\\\A=70\°[/tex]

Now we use the sine theorem to find the length of b:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17[/tex]

The correct answer is C. 12

If you were to line up all the numbers in chronological order, the order would be: 5, 8, 8, 10, 10, 10, 11, 12, 12, 14, 17, 17, 19, 20, 20, 21. Twelve is the center of all the numbers. There's eight numbers on each side of 12. Hope this helps! Please mark brainliest! Thank you v much! :)

Answer:

C) 12

Step-by-step explanation:

Step 1: List the numbers in order from least to greatest. Take a look at the data and cross out numbers as you place them. There are 16 numbers. The order of these numbers are:

5, 8, 8, 10, 10, 10, 11, 12, 12, 14, 17, 17, 19, 20, 20, 21

Step 2: Cross out numbers from each side to the furthest left and right. By the time you do this, the remaining numbers should be 12 and 12.

Step 3: Find the median. Because there are two numbers left, you do this by adding the two remaining numbers and divinding them by 2. However, because they are the same number, you can safely say that the median is 12.

Answer:

The correct answer option is H. 4374.

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

[tex]\frac{2}{9}, \frac{2}{3}, 2,...[/tex]

Here [tex]a_1=\frac{2}{9}[/tex] and common ratio [tex](r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3[/tex].

The formula we will use to find the 10th term is:

nth term = [tex]a_1 \times r^{(n-1)}[/tex]

Substituting the values in the formula to get:

10th term = [tex]\frac{2}{9} \times 3^{(10-1)}[/tex]

10th term = 4374

Answer:

4

te ayudara en las ecuaciones

The value of  [tex]8^(^2^/^3^)[/tex]  is equal to 4 by exponent property

To simplify the number [tex]8^(^2^/^3^)[/tex]

we can apply the property of exponents which states that [tex](a^m)^n = a^(^m^\times^n^).[/tex]

Now [tex]8^(^2^/^3^)[/tex], which means we need to raise 8 to the power of 2/3.

Now, let's rewrite 8 as a power of a base that is a perfect cube:

8 = 2³

[tex](2^3)^(^2^/^3^)[/tex]

Applying the exponent property mentioned earlier, we multiply the exponents:

[tex]2^(^3 ^\times^2^/^3^)[/tex]

2²

we get four, 4

Therefore,  [tex]8^(^2^/^3^)[/tex]  is equal to 4.

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Answer:

[tex]P (t) = 580e ^ {0.18t}[/tex]   or  [tex]P (t) = 580 (1.18) ^ t[/tex]

Step-by-step explanation:

There are two models of exponential growth that you can use to predict the population of bacteria after t hours.

I) [tex]P (t) = pe ^ {rt}[/tex]

II) [tex]P (t) = p (1 + r) ^ t[/tex]

Where

p is the initial population of bacteria

r is the growth rate

t is the time in hours.

In this case we know that:

[tex]p = 580\\\\r = \frac{18}{100}\\\\r = 0.18[/tex]

Then the equations that can be used to predict the population of bacteria after t hours are:

I) [tex]P (t) = 580e ^ {0.18t}[/tex]

II)[tex]P (t) = 580 (1 + 0.18) ^ t[/tex]

Answer:

b

Step-by-step explanation:

todo lol que tienes que hacer es hacer la cosa ricola sexta

Answer:

$107.50

Step-by-step explanation:

$3.50 = 1 STUDENT

$5.00 = 1 ADULT

TWENTY FIVE STUDENTS = $3.50 × 25 = $87.50

FOUR ADULTS (ONE TEACHER AND THREE PARENTS) = $5.00 × 4 = $20.00

TOTAL COST = $87.50 + $20.00 = $107.50