simplify (8.1)(8.1²)⁴

(8.1)6
(8.1)7
(8.1)8
(8.1)9

Least number of packages of plates Shaniya needs to buy=24

Based on the given problem above, it is mentioned that in one pack of cups has 6 and one pack of plates has 8. Therefore, the least number of packages of plates that Shaniya needs to buy is 3 packages and for the cups, it would be 4 packages. 4 x 6 is 24 cups, and 3 x 8 would be 24 plates.

To learn more about packages of plates visit: https://brainly.com/question/19711484

SPJ1

Answer:

{60,63,87}

Step-by-step explanation:

The value of x is given by 13.

The above angle of the triangle is vertically opposite to the angle 110.

So, the above not mentioned angle of triangle is = 110.

We know from Angle sum property of a triangle that the sum of all interior angles of a triangle is 180.

So, from the given figure we can write that,

110 + 57 + x = 180

167 + x = 180

x = 180-167

x = 13

Hence the value is, x=13.

To know more about Angle Sum Property refer to:

https://brainly.com/question/22262639

#SPJ1

There will be amount of $8,880.43  in the account in 30 years.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Let A be the final amount.

Principal = $2000

r = rate = 5%

n = number of compounding in a year = 4

t = number of years the principal will be compounded = 30

The formula for compound interest:

[tex]A=P(1 +\frac{r}{n})^{nt}[/tex]

[tex]A=2000(1 +\frac{0.05}{4})^{4 \times 30}[/tex]

A = $8,880.43

I will have $8,880.43  in the account in 30 years.

To learn more about compound interest from the link

brainly.com/question/14295570

#SPJ1

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Class 10

>>Maths

>>Surface Areas and Volumes

>>Surface Area of Combined Solids

>>Mayank made a bird - bath for his garden

Question

Bookmark

Mayank made a bird-bath for his garden in the shape of cylinder with a hemispherical depression at one end as shown in figure. The height of the hollow cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird-bath. (Take π=22/7)

1010717

expand

Medium

Updated on : 2022-09-05

Solution

verified

Verified by Toppr

Let r be the common radius of the cylinder and hemisphere and h be the height of the hollow cylinder.

Then r=30cm;h=1.45m=145cm

Total surface are of the bird-bath = curved surface area of the cylinder + curved surface area of the hemisphere

=2πrh+2πr

2

=2π(h+r)

=2×

7

22

×30(145+30)cm

2

=3.3m

2

Answer:

The solution is -35/8

Step-by-step explanation:

[tex] \sf - 1 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = \sf - \frac{4 \times 1 + 1}{4} \times \frac{2 \times 3 + 1}{2} \\ \\ = \sf - \frac{4 + 1}{4} \times \frac{6 + 1}{2} \\ \\ = \sf - \frac{5}{4} \times \frac{7}{2} \\ \\ = \sf - \frac{5 \times 7}{4 \times 2} \\ \\ = \sf - \frac{35}{8} \\ \\ = \sf - 4 \frac{3}{8} [/tex]

The horizontal asymptote of T(t)=0 means that the temperature will not increase above 98.6F as time elapses.

Given,[tex]T(t)=\frac{4t}{t^2+1}\\[/tex]

where, t represents time elapse it means 't' reaches to infinity

In function [tex]\lim_{n \to \infty} f(n)[/tex], f(n) is called as horizontal asymptote of the function.

then the above equation can be written as

[tex]T(t)=\lim_{t \to \infty}\frac{4t}{t^2+1}\\\\=\lim_{t \to \infty}\frac{4t}{t(t+\frac{1}{t})}\\\\=\lim_{t \to \infty}\frac{4}{(t+\frac{1}{t})}\\\\=\frac{4}{\infty +0}\\\\=0[/tex]

Hence,the horizontal asymptote of T(t) is 0 it means there is no increase in the temperature above 98.6F.

To learn more about horizontal asymptote refer here

https://brainly.in/question/16720150

#SPJ9

Answer: B.) 240 / 100

Step-by-step explanation:

A percentage is x / 100

For example, 4% = 4 / 100.

So 240% is 240 / 100.

Answer:

C. Two complex solutions.

Step-by-step explanation:

[tex]1. \ 9x^2+4=0;\\x^2=-\frac{4}{9};\\x=_-^+ \frac{2}{3} i;[/tex]

2. two complex solutions, the correct answer is C.

Answer:

x=14

Step-by-step explanation:

Lines RP and MQ intersect, creating 2 pairs of vertical angles. Vertical angles are congruent.

<RSQ and <PSM are vertical angles and therefore congruent

163=3x+9x-5

x=14

Answer:

16xthe equal parts squares

Step-by-step explanation:

if that is correct let me know of the ewuation

Answer:

240

Step-by-step explanation:

20%×5=100

48×5=240

Answer:

20% of 240 is 48.

Step-by-step explanation:

Forming the equation,

→ (x/100) × 20 = 48

Now the value of x will be,

→ (x/100) × 20 = 48

→ (20x/100) = 48

→ x/5 = 48

→ x = 48 × 5

→ [ x = 240 ]

Hence, the answer is 240.

The amount of liquid protein  in each cell sample is 1/8 ounce

From the question, we have the following parameters that can be used in our solution:

Ounce of liquid = 1/2 ounce

Number of samples = 4 cells

From the above parameter, we can calculate the amount of liquid protein  in each cell sample

Amount = Ounce of liquid /Number of samples

Substitute the known values in the above equation

So, we have the following equation

Amount = (1/2)/4

Evaluate the quotient

Amount = 1/8

Hence, the amount is 1/8 ounce

Read more about constant of proportionality at

brainly.com/question/28413384

#SPJ1

Answer:

Step-by-step explanation:

Inverse variation equation:

The equation is:

Answer:

y = -39/x

Step-by-step explanation:

Formula we use,

→ y = k/x

→ k = xy

Now the value of k will be,

→ k = xy

→ k = 13 × (-3)

→ [ k = -39 ]

Then the inverse equation is,

→ y = k/x

→ -3 = -39/13

→ [ y = -39/x ]

Hence, the answer is y = -39/x.

Answer:

[tex] \dfrac{7x + 15y}{21} [/tex]

Step-by-step explanation:

[tex] \dfrac{1}{3}x + \dfrac{5}{7} y = [/tex]

[tex] = \dfrac{7}{21} x + \dfrac{15}{21} y [/tex]

[tex] = \dfrac{7x + 15y}{21} [/tex]

At a sale, suits were sold for $72 each and this price was 45% of a suit's original price which means that suit originally cost $160.

This is referred to as a number or ratio that can be expressed as a fraction of 100.

Selling price = $72 which is 45% of a suit's original price.

Therefore, 45/100 × X =  $72.

45X = 7200

X = 7200/45 = $160.

Read more about Percentage here https://brainly.com/question/24304697

#SPJ1

Step-by-step explanation:

A two sigma confidence interval is created whenever our alternate hypothesis does not equal a value.

For example if

[tex]h_{o} = 0.36[/tex]

and

[tex]h _{a} ≠0.36[/tex]

We used a two sigma confidence interval because we are thinking a portion is either below 0.36 or above 0.36.

When solving these probability for the p value, multiply the inital result by 2 to get the p value

The 2 sigma confidence interval is a principle that states that a result will be considered significant if 95% of the population is two standards deviation from the average value.

The two-sigma confidence level states that 95% of the values obtained in the results from a population should be within2 deviations from the mean. Anything below this acceptable percentage is not considered the 2-sigma confidence level.

If 68% of the score are within 1 standard deviation from the mean, then that will be considered the 1-sigma rule. If 99.7% of the score is 3 standard deviations from the mean then we can refer to that as the 3-sigma confidence interval.

Learn more about the confidence interval here:

https://brainly.com/question/14825274

#SPJ4

a. The shape of the distribution is normal, by the Central Limit Theorem.

b. The mean is of: 0.23.

c. The standard error is of: 0.125, meaning that the sample proportions differ by around 0.125 from the mean of 0.23.

d. The probability is of: 0.2877 = 28.77%.

By the Central Limit Theorem, as each sample has at least 10 successes and at least 10 failures, the shape of the distribution is normal.

For each sample, the mean and the standard error are given as follows:

Hence for the distribution of differences, the mean and the standard error are given as follows:

Using the z-score formula, the probability that the difference is greater than 30 is one subtracted by the p-value of Z when X = 0.3, hence:

Z = (0.3 - 0.23)/0.125

Z = 0.56

Z = 0.56 has a p-value of 0.7123.

1 - 0.7123 = 0.2877 = 28.77%.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/25800303

#SPJ1

Answer:

315 minutes

It takes 15 minutes for 1 bracelet. 15 minutes multiplied by 21 bracelets is 315. Lmk if you need more help

Answer: 315 minutes.

Step-by-step explanation:

To solve this, we need to find out how long it takes to make one bracelet first.

If it takes 45 minutes to make 3 bracelets, we need to divide 45 by 3, which gives us 15.

This means it takes 15 minutes to make one bracelet.

Now, we need to multiply 15 by 21.

15 x 21 = 315.

This means it will take 315 minutes to make 21 bracelets.

One possible pair of next terms: 0, 1

A second possible pair of next terms: 14, 32

What is arithmetic progression?

What is Geometric progression?

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

 2, 8, 0, 1 . . . is a sequence of no particular type

 2, 8, 14, 32 . . . is a sequence of no particular type

To know more about progressions check below link:

https://brainly.com/question/24191546

#SPJ9

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

Read more about division at:

brainly.com/question/11421834

#SPJ1

Answer:

1491

Step-by-step explanation:

Based on the given conditions, formulate

 Rearrange unknown terms to the left side of the equation

Calculate the sum or difference

Divide both sides of the equation by the coefficient of variable

Cross out the common factor:get the result

The simplified form of the expression ( ⁴√( 8³ ) )^1/3 in rational exponents forms is 8^1/4.

Given the expression in the question;

( ⁴√( 8³ ) )^1/3

To convert to rational exponent form, apply the exponent rule;

ⁿ√aˣ = a^x/n

Hence;

( ⁴√( 8³ ) )^1/3 = 8^3/4

So we have,

( 8^3/4 )^1/3

Now, apply the power rule to multiply the exponents.

(a^m)^n = a^mn

( 8^3/4 )^1/3

8^( 3/4 × 1/3 )

8^( 3×1/4×3 )

Multiply 3 and 1

8^( 3/4×3 )

Multiply 4 and 3

8^( 3/12 )

Cancel out the common factor of 3 and 12; 3

8^( 1/4 )

8^1/4

Therefore, the simplified of the expression is 8^1/4.

Learn more about power rule here: https://brainly.com/question/23418174

#SPJ1

Answer:

250b calories in b, bars 15c calories in c, carrots

Step-by-step explanation:

Answer:

5.131 × 10¹⁴  Hz

Step-by-step explanation:

Planck relation

[tex]\large\boxed{E = hf}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for f:

[tex]\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f[/tex]

[tex]\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}[/tex]

[tex]\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}[/tex]

[tex]\implies f=0.5131\times 10^{(-19-(-34))}[/tex]

[tex]\implies f=0.5131 \times 10^{15}[/tex]

[tex]\implies f=5.131 \times 10^{14}[/tex]

Rodrigo will accrue 1023.17 interest during the 4.5-year non-payment period.

The simplest way to compute interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a buddy with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.

Given,

For calculating interest:

Interest = Principal ×rate × time

Principal = 5300

Rate = 0.0429

Time = 4.5

Interest = 5300 × 0.0429 × 4.5

Interest = 1023.17

Rodrigo will accrue 1023.17 interest during the 4.5-year non-payment period.

To learn more about interest, visit:

https://brainly.com/question/27584159

#SPJ13

Answer: This equation, when simplified would be x = 4

Step-by-step explanation:

That's what I believe it is