Graphing and Solving Inequalities
m-1<-3
a
-4y <-20
5+b>1
++
-18
The last equation keeps dropping off it is -18

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

[tex]g(x)=cf(b(x-h))+k[/tex]

We know that only a vertical translation and horizontal translation were applied to the graph. How?

To identify what values of h and k to use, identify the translations applied to one of the points:

(1,2) ⇒ (4,4)

Therefore:

Plug this into the equation:

[tex]g(x)=cf(b(x-h))+k\\g(x)=f(x-h)+k\\g(x)=f(x-3)+2[/tex]

[tex]g(x)=f(x-3)+2[/tex]

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.

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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

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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.

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The equation of the line is y = -68.7x - 5.1 when the slope is 68.7 and the y - intercept is -5.1.

Equation of the line

Basically, the equation of the line refers the mathematical equation that gives the relation between the coordinate points lying on that straight line.

The general form of the equation of the line is

y = mx + c

where

m refers the slope

c refers the y intercept

Given,

Here we have the value of slope is -68.7 and the y intercept is -5.1.

Now, we have to write the equation of the line.

Here we have the value of

Slope = -68.7

y- intercept = - 5.1

So, the equation of the line is written as,

=> y =-68.7x - 5.1

Therefore, the equation of the line with the given slope and intercept is

y = -68.7x -5.1

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Answer:

{60,63,87}

Step-by-step explanation:

Answer:

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>>Mayank made a bird - bath for his garden

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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)

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Updated on : 2022-09-05

Solution

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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

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

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Answer:

1.25

Step-by-step explanation:

3/4 snot = 6 cat

/6              /6

______________

0.125 snot = 1 cat

*10                 *10

______________

1.25 snot = 10 cat

Answer:D

Step-by-step explanation:

It is a monomial and the others and not

Answer: B.) 240 / 100

Step-by-step explanation:

A percentage is x / 100

For example, 4% = 4 / 100.

So 240% is 240 / 100.

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.

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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.

The inequality statement for Kendra is written as 5y + x < 47 minutes

Information given in the question

It takes 5 minutes to print a color copy

1 minute to print a black-and-white one

She wants to spend under 47 minutes on printing

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

let x represent the number of black-and-white printed

let y represent the number of colored copy printed

under 47 minutes means less than 47 minutes

5y + x < 47 minutes

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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.

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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.

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Answer:

16xthe equal parts squares

Step-by-step explanation:

if that is correct let me know of the ewuation

This is pretty simple because all you have to do to find this product is to write it out as 3xy. These are still multiplied, making it the product.

Answer:

it is equal to 5⃣ hope that m not wrong

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.

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.

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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.

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The solution to the problem is X =-6

Simply in mathematics is reducing the problem or fraction into basic form

Simplify the equation by finding the root of the equation

   [tex]2^{2(2x-3)}[/tex]= [tex]2^{3(x+4)}[/tex]

Divide the side of the equation by each other

  {2(2x-3)} = {3(x- 4)}

Open the bracket by multiplying the right hand side and left by their coefficient.

    4x -6 = 3x - 12

Collect the like terms and the unknow X be on the left side

    4x-3x = 6-12

     x = -6

Therefore, the solution to the problem is X =-6

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The image of the quadrilateral ABCD when translated to the right by 5 units is given as attached. When translated, the new coordinates are given as follows;

A' = (4,2)

B' = -1,1)

C' = (-2,-2)

D' = 5, -5)

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.

There are several forms of translation:

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Answer:

6/1 is what i got, is that a right answer?

Step-by-step explanation:

3/7 by 1/14

2*3/1*1 over 14 =6/1 over 14 simplified 3/7.

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%.

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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]

After 4.6 years the car's worth will be $10,600 or less.

According to the question,

We have the following information:

A car is purchased for $38,000. Each year it loses 20% of its value.

Now, we will first find 20% of 38,000:

(20*38000)/100

$7600

Now, each year the decrease in the price will be $7600.

So, we have the following arithmetic progression:

38000, 30400, ...

Now, following formula is used to find the nth term of an A.P:

an = a+(n-1)d where a is the first term and d is the common difference

10,600 = 38000+(n-1)-7600

10600-38000 = -7600n+7600

-27,400 = -7600n+7600

-7600n = -27400-7600

-7600n = -35000

n = 35000/7600

n = 4.6 years

Hence, after 4.6 years the car will be worth $10,600 or less.

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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.