Find the radius of a
sphere of volume 60cm³

Answer:

for finding a 2 it would be 2/12 then for finding a number greater than 1 it would be 10/12. 16.6666...%=2/12  10/12=83.33333333...%

Step-by-step explanation:

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Approximately 10.20% of devices ran on the batteries for fewer than 63 hours.

To determine the percentage of devices that ran on the batteries for fewer than 63 hours, we can utilize the properties of a normal distribution. Given that the data is normally distributed with a mean of 74.6 hours and a standard deviation of 9.1 hours, we can calculate the z-score for the value 63.

The z-score represents the number of standard deviations a given value is from the mean. It can be calculated using the formula:

z = (x - μ) / σ

Where:

z = z-score

x = observed value

μ = mean

σ = standard deviation

Let's calculate the z-score for 63 hours:

z = (63 - 74.6) / 9.1

z = -1.27

With the obtained z-score, we can then use a standard normal distribution table (also known as a z-table) to find the corresponding percentage. The z-table provides the area under the curve to the left of a given z-score.

Looking up the z-score of -1.27 in the z-table, we find that the area to the left of this z-score is approximately 0.1020 or 10.20%.

Therefore, approximately 10.20% of devices ran on the batteries for fewer than 63 hours.

for such more question on percentage

https://brainly.com/question/24877689

#SPJ8

Answer:

aaaaha pues

Step-by-step explanation:

Answer:

what happened

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

Given:

\(P=\$120,000\)

\(r=5.3\%\)

\(t=8\text{ years}\)

To find:

The value of the investment when the interest is compounded annually.

Solution:

The formula for amount is:

\(A=P\left(1+\dfrac{r}{n}\right)^{nt}\)

Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.

The interest is compounded annually. So, \(n=1\).

Substituting \(P=120000, r=0.053, n=1, t=8\) in the above formula, we get

\(A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}\)

\(A=120000\left(1.053\right)^{8}\)

\(A=181387.85936\)

\(A\approx 181387.86\)

Therefore, the value of the investment after 8 years is $181,387.86.

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

50 + 5p ≥ 85

50 is pages already read

5p is the number of pages he wants to read each day Monday through Friday (5 days, so 5p is 5 times pages read per day)

greater that or equal to 85 means at least 85 pages

The shaded area represents 10/24 in the attachment.

Area is the measurement οf the size οf a 2-dimensiοnal regiοn οr surface, usually expressed in square units such as square inches, square meters, οr square feet. The area is the regiοn bοunded by the shape οf an οbject. The space cοvered by the figure οr any twο-dimensiοnal geοmetric shape, in a plane, is the area οf the

5/8 × 2/4

Fοr 5/8 we shade 5 piece frοm tοtal 8.

Fοr 2/4 we shade 2 piece frοm tοtal 4.

The cοmmοn sectiοn represents = 5/8 × 2/3

                                                       = 10/24

To know more about 2-dimensional region visit:

brainly.com/question/29163945

#SPJ1

The complete question is given below

Shade the area on a grid that shows 5/8 x 2/4

Answer:

\( y = \frac{2}{3}x + 1 \)

Step-by-step explanation:

First, find the slope, m, and y-intercept, b, of line t.

Slope (m) = CD/BD

Slope (m) = 4/6 = ⅔

y-intercept is y = 1. This is where the line intercepts the y-axis. So, b = 1.

Substitute m = ⅔, and b = 1, in \( y = mx + b \).

Thus, the equation for line t would be:

\( y = \frac{2}{3}x + 1 \)

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Answer:

Cost = $51.96

Step-by-step explanation:

The radius of a regular hexagonal window, r = 2 feet

The area of a hexagonal shaped figure is given by :

\(A=\dfrac{3\sqrt3}{2}r^2\)

Put r = 2 feet in above formula

\(A=\dfrac{3\sqrt3}{2}\times (2)^2\\\\A=10.392\ \text{unit}^2\)

Replacement glass for energy-efficient windows costs $5.00 per square foot. It means, the total cost will be :

\(A=10.392\times 5\\\\A=\$51.96\)

So, the required cost will be $51.96. Hence, the correct option is (d).

Answer:

Cost of student ticket =  $7

Cost of Adult ticket = $17

Step-by-step explanation:

Let cost of student ticket = x

Cost of Adult ticket = y

Making expressions from statements

Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. \(27x+25y=614\)

Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. \(27x+32y=733\)

Now solving these equations to find values of x and y

Let

\(27x+25y=614--eq(1)\\27x+32y=733--eq(2)\)

Subtracting both equations

\(27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17\)

So, we get value of y = 17

Now, finding value of x, by putting value of y in eq(1)

\(27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7\)

So, we get value of x = 7

Cost of student ticket = x = $7

Cost of Adult ticket = y = $17

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

learn more about of variable here

https://brainly.com/question/6472483

#SPJ4

D. moving red blood cells around the body

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The actual dimensions of the patio are 20 feet by 16 feet.

The scale factor is 1 inch to 4 feet,

This means that 1 inch on the scale drawing represents 4 feet in reality.

So the dimensions of the scale drawing are:

20 feet x (1/4) = 5 inches (length on scale drawing)

16 feet x (1/4) = 4 inches (width on scale drawing)

The area of the actual patio is:

= 20 feet x  16 feet

= 320 square feet

The area of the scale drawing is:

= 5 inches x 4 inches

= 20 square inches

The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet

To simplify this ratio, we need to convert both values to the same units.

Converting the area of the scale drawing to square feet:

= 20 square inches x  (1/144) square feet/square inch

= 0.1389 square feet

So the ratio of the area of the scaled drawing to the actual area of the patio is:

0.1389 square feet : 320 square feet

Or, in simplified form:

1 : 2306.56

Thus,

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

Learn more about scale factors here:

https://brainly.com/question/29464385

#SPJ1

Answer:

x=3

Step-by-step explanation:

10+3x=2(3+4)+5

3x=2(7)-5

3x=14-5

3x=9

x=3

You're welcome sir

Answer:

Go through Option D. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer: The baby would weigh approximately 5.5 pounds

Step-by-step explanation:

2,500/28.4 ≈ 88.02 ounces

88.02/16 ≈ 5.501

To the nearest tenth, the answer would be 5.5 pounds (correct me if I'm wrong.)

Answer:

PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.

Step-by-step explanation:  -> 3 x 2 +( 4 - 1) = ??

always when you see these in your equation you always start with these>>>(4-1=3) then 3x2=6 then you add that then you get 9

9 is your answer hope this helps

Answer:

The answer is 9.

Step-by-step explanation:

PEDMAS stands for :

To solve the given equation we will follow the PEDMAS rule.

\(\begin{gathered}\qquad{\twoheadrightarrow{\sf{3 \times 2 + (4 - 1)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + (3)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{6+ 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{9}}} \\ \\ \qquad{\star\underline{\boxed{\tt \pink{ \: 9 \: }}}}\end{gathered}\)

Hence, the answer is 9.

\(\rule{300}{2.5}\)

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

To know more about dilation, visit:

https://brainly.com/question/13176891

#SPJ1

Answer:

20/32

Step-by-step explanation:

multiply numerator and denominator by 4 :

5*4/ 8*4 = 20/32

The reasons for the proof are shown in the explanation below.

A transversal is straight line that intersect two parallel lines, thus producing a set of angles with some common properties.

The reasons for the proof required in the question are explained in the table below:

          STATEMENT                                    REASON

1. AB II DC ; m<BCD + m<BEF = 180^o      Given

2. <3 ≅ <1                                                    Corresponding angle theorem

3. <4 + <5 = 180^o                                      Definition of supplementary angles

4. <3 ≅ <5                                                   Vertical angle property

5. <5 ≅ <2                                                   Corresponding angle theorem

6. <3 ≅ <2                                      Corresponding property of vertical angles

7. BC II EF                                                   Definition of parallel lines

Learn more about properties of a transversal at https://brainly.com/question/21478278

#SPJ1

Answer:

A = $1647.01

General Formulas and Concepts:

Pre-Algebra

Algebra I

Compounded Interest Rate Formula: \(A=P(1+\frac{r}{n} )^{nt}\)

Step-by-step explanation:

Step 1: Define variables

P = 1000

r = 5% = 0.05

n = 12

t = 10

Step 2: Solve

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

Learn more about simultaneous equations at https://brainly.com/question/16863577.

#SPJ1

Answer:

Step-by-step explanation:

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)

Answer:

A

Step-by-step explanation:

Let x= number of visits she makes

9(number of visits she makes) + 32 (less than or equal to) <= 122

9x+32<= 122