The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.

Answer:  The answer has one solution:

_______________________________

      →  x = 1 ;   y =  -4 ;  or, write as:  [1, -4].

_______________________________

Step-by-step explanation:

_______________________________

Given:

  y  =  - 1x – 3

  y  =   -7x + 3 ;

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    -1x – 3  =   -7x + 3  ;  Solve for "x" ;

Add:  " +1x" ; and add " +3 " ;  to Each Side of the equation:

Subtract " 1x " ; and Subtract " 1 " ; from Each Side of the equation:

   -1x  + 1x  – 3  + 3  =  -7x  + 1x + 3 + 3 ;

         to get:  

             0  =  -6x + 6

          ↔  -6x + 6 = 0 ;

Now, subtract " 6 " from Each Side of the equation:

                -6x + 6 – 6  = 0 – 6  ;

       to get:

               -6x = -6 ;

Now, divide Each Side of the equation by " -6 ";  

      to isolate "x" on one side of the equation;

      & to solve for "x" ;

              -6x /-6  =  -6/-6 ;

      to get:

                x = 1 .

_______________________________

Now, let us solve for "y" ;  

We are given:  

 y =  -x – 3  ;

Substitute our solved value for "x" ; which is:  " 1 " ; for " x " ; into this given equation; to obtain the value for " y " :

 y =  -x – 3  ;

    =  -1  – 3  

 y =   - 4 .

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Let us check our answers by plugging the values for "x" and "y" ;

" 1 " ; and " -4 "; respectively);  into the second given equation; to see if these values for " x " and " y"  ; hold true:

Given:   y  =    - 7x  +  3 ;

           →  -4   =?  -7(1) + 3 ??  ;

           →  -4   =?   -7   + 3  ??  ;

           →  - 4 =?   -4 ?? ;

           →  Yes!

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The answer has one solution:

      →  x = 1 ;   y =  - 4 ;  or, write as:  [1, -4 ].

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Hope this is helpful!  Best wishes!

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Answer:

[tex]x^{6} y^{3}[/tex]

Step-by-step explanation:

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

[tex]x^{2 \times 3} \times y^3[/tex]

[tex]x^{6} \times y^3[/tex]

Answer:

4 sqrt(6)

Step-by-step explanation:

sqrt(96)

We know sqrt(ab) =sqrt(a) sqrt(b)

sqrt(16*6)

sqrt(16) sqrt(6)

4 sqrt(6)

Answer: Cylinder

Step-by-step explanation:

Two bases first: that rules out cone and rectangular pyramid.

One lateral face: the only one with that is cylinder.

Hope that helped,

-sirswagger21

The figure which has two bases and one lateral face that is rectangular is, ''Cylinder.''

Any triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The shape have two bases and one lateral face that is rectangular.

We know that;

In a Cylinder,

It is a three-dimensional solid that contains two parallel bases connected by a curved surface.

And, The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.

Thus, The figure which has two bases and one lateral face that is rectangular is, ''Cylinder.''

Learn more about the triangle visit;

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#SPJ6

Answer: 0.66 ft

Step-by-step explanation:

Let assume that the initial position of the worker is x.

Given that the worker walks away with a constant speed of 2 ft/s. Therefore, dx/dt = 2

As the worker moves away, the rope makes a triangle, with width length x and the height length will be 30.

Using pythagorean theorem, the length of rope on this side of the pulley will be √(x² + 30²)

Also, the length of rope on the other side will be 60 - √(x² + 30²),

and the height h of the weight will be 30 - (60 - √(x² + 30²)) = √(x² + 30²) - 30

dh/dt = dx/dt × x/√(x² + 30²)

= 4x/√(x² + 30²)

dh/dt = 4x/√(x² + 30²)

If the worker moves 5ft away, then

dh/dt = (4×5)/√(5² + 30²)

dh/dt = 20/√(25 + 900)

dh/dt = 0.66 ft

Answer:

1130

Step-by-step explanation:

since radius of the circle was given and the formula of the area is pie r square

Answer:

all real numbers

Step-by-step explanation:

The domain is the input values

All values for x are valid as inputs to the function

Answer:

c

Step-by-step explanation:

when the absolute value of slope gets smaller, the graph of line gets less steeper.

Answer:

The equation of the parallel  line to the given equation is

3 x-4 y = -4    and

The equation of the parallel  line to the given equation is

[tex]y = 1 + \frac{3 x}{4}[/tex]

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel  line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

[tex]\frac{3 x-4 y}{-4} = 1[/tex]

[tex]\frac{-3 x}{4} +y =1[/tex]

[tex]y = 1 + \frac{3 x}{4}[/tex]

Conclusion:-

∴ The equation of the parallel  line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel  line to the given equation is

[tex]y = 1 + \frac{3 x}{4}[/tex]

Answer:

the answer is b and d edge 2021

Step-by-step explanation:

I am finished taking the test got a 100%

Answer:

The quarterly growth rate in revenues is significantly different from 1.2%.

b. 2,666,858

Step-by-step explanation:

Given that:

The regression equation can be represented as :

[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]

In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02.

The null and alternative hypothesis can be stated as;

[tex]H_0:[/tex]    The quarterly growth rate in revenues is not significantly different from 1.2%.

[tex]H_a:[/tex]   The quarterly growth rate in revenues is significantly different from 1.2%.

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From above ; the p-value = 0.02 which is less than 0.05.

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in revenues is significantly different from 1.2%.

b.

Since [tex]Q_1=Q_2=Q_3 = 0[/tex] ; X = 27

Thus ;

[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]

[tex]log_{10} \hat Y= 6.102+0.012 (27)[/tex]

[tex]\hat Y=10^{ 6.102+0.012 (27) }[/tex]

[tex]\hat Y =[/tex] 2666858.665

[tex]\hat Y =[/tex]  2,666,858

Answer: i did the question i told you the steps

Step-by-step explanation:

From the starting point move three to the left. Then move four down. Then move three times to the left. Lastly move two down.

If the length of OB was ³/₄, then the length of OB' after dilation is; Option B: 3 units.

What this means is that it was enlarged by a scale factor of 4 with point O as the center of dilation.

Scale factor = new dilated length OB'/(³/₄)

new dilated length OB' = ³/₄ × 4

new dilated length OB' = 3 units

Read more on dilation at; https://brainly.com/question/8532602

Answer:

its 4 units trust just answered it

Step-by-step explanation:

Answer:

Surface Area = 84.8 cm²

Step-by-step explanation:

This wedge is simply a triangular prism.

We are given;

Height of door wedge; H = 5 cm

Height of triangular base;h = 3.7 cm

Congruent sides; S2 = S3 = 5cm

base of triangular side;b = S1 = 4 cm

Now, formula for surface area of triangular prism is;

SA = bh + (s1 + s2 + s3)H

Thus, plugging in the relevant values, we have;

SA = (4 x 3.7) + (4 + 5 + 5)5

SA = 14.8 + 70

SA = 84.8 cm²

Answer: 2ND ONE

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

5x+3=4x

5x-4x=-3

x=-3

Edit: Check by plugging in x = -3

5(-3)+3=4(-3)

-15+3=-12

-12=-12✅

Answer:

  A. right

Step-by-step explanation:

Replacing x with (x-h) in a function shifts the graph to the right h units.

__

See the attachment for an example.

Answer:

x<12

Step-by-step explanation:

subtract both sides by -3 because you need to isolate x. then you have x/4<3. now you need to get rid of the 4. so you do the opposite of division and multiply 4 by both sides so you get x<12

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

[tex]\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min[/tex]

So it will take them approximately 51.43 minutes to complete the project together.

Answer:

s = 4.43

Step-by-step explanation:

Using formula for bigger circle

s =r∅

Where s is the Arc length, r is rdius and ∅ is theta(angle)

8.84=5∅

∅= 8.84/5

Angle = 1.77 radians

So both angles equal to 1.77 radians

Now again

Using formula

s = r∅

Where s is the Arc length, r is rdius and ∅ is theta(angle)

s = (2.5)(1.77)

s ≈ 4.43

Answer:

x =-5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It would be a cone with a radius of 4 units rotating around y-axis.

Answer:

A. The population in the CPS survey are all US households.

B. The population in the CES survey are all the non-farm businesses and government agencies.

Step-by-step explanation:

A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.

In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used.  The whole households in the United States thus form the population under study.

For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.

Answer:

A) 13/20

Step-by-step explanation:

65% in simplest form,

65/100

= 13/20 (Divided by five)

Answer:

[tex]\frac{13}{20}[/tex].

Step-by-step explanation:

We can begin by converting 65% to a fraction over 100. 65% converts to 0.65, or [tex]\frac{65}{100}[/tex].

We can simplify this down. Both 65 and 100 share a common factor of 5, which allows us to produce a new fraction:

[tex]\frac{65}{100} = \frac{13}{20}[/tex]

Therefore, the simplified version is [tex]\frac{13}{20}[/tex].

Answer:

A. The causal connection is valid. Students who spend more time and effort studying will be able to memorize more​ information, so their test grades will be higher.

Step-by-step Explanation:

The causal connection between the test grades of students and the amount of time and effort spent the students spend in studying and preparing for the test appears to be valid. This is valid because students who spend more time and effort studying would most likely be able to memorize more information of which they are most likely to come by in the test they take. Invariably, they'd be able to easily recall what they've memorize and give the right answers to the questions they are asked in the test, and this definitely will earn them higher test grades.

Answer:

3.14

Step-by-step explanation:

We find the total circumference of a circle with radius 2 to be

2 * pi * r

= 2 * 3.14 * 2

= 12.56

We divide by 4 to get the perimeter of the quarter circle

12.56/4 = 3.14

Answer:

Step-by-step explanation:

Ans-1.)

q 2  = 9 /100 (A) q = 0.3 (p + q) 2  = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)

Ans -2.) CRISPR -Cas 9 system has very wide application :

* can be used to disable the dominant deleterious genes .

* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.

* widely used to study function

Ans-3.) Genome wide association studies are important to study behavioral disorders because

* candidate genes identified for further studies.

* Provide an association between  genetic loci and phenotypes.

* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders  

Answer:

765,795 = 96%

Step-by-step explanation:

confidence interval = 0.04  

The Za/2 theorem = 1/2 = 0.04/2 = 0.02= /x = 720z

If ; 0.02 = 2.05  then the interval is 780-2.05 x 40/√30 x 780+2.05 x 30/√30 = 765,795 = 96%

We see 40/ √30 which is found in equation of finding the sample mean at point /x = 720z

σ 40/ n√30 = 7.3029674334 and is simply a fraction of /x 720z

By normal distribution we find

The 96% confidence interval for the population mean of all bulbs = 765,795

As 765, x 1.04 = 795 = 765, 795

To find Sampling mean.

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Confidence Level z*-value

80% 1.28

90% 1.645 (by convention)

95% 1.96

96% 2.05

98% 2.33

99% 2.58

Answer:

c) 81.5

Step-by-step explanation:

Listing the 25 ages in crescent order:

60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92

The upper or third quartile's position is given by:

[tex]Q_3=N_{\frac{3}{4}(n+1)}\\Q_3}=N_{\frac{3}{4}(25+1)}=N_{19.5}[/tex]

This means that the third quartile is the average between the 19th and 20th numbers:

[tex]Q_3=\frac{81+82}{2} \\Q_3 = 81.5[/tex]

The upper quartile is 81.5.

Answer:

Step-by-step explanation:

An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below 20.

a) Let X represent the price of the option

$1000         20/100 = 0.2

$200          50/100 = 0.5

$0              30/100 = 0.3

b) Expected option price

[tex]= \sum x.P(X=x)\\\\ = 1000 * 0.2 + 200 * 0.5 + 0 = \$ 300[/tex]

Therefore expected gain = $300 - $150 = $150

c) The trader should buy the stock. Since there is an positive expected gain($150) in trading that stock option.

Answer:

4 pizza's

Step-by-step explanation:

hope this helps :)