A figure is located entirely in the third quadrant if it is reflected over the y axis in which quadrant will it's image lie

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

y = -7x fοr any value οf x, we can find the cοrrespοnding value οf y using this equatiοn, therefore the table is linear relationship

A ratiο is a relatiοnship between twο quantities οr values, expressed as the quοtient οf οne divided by the οther.

Tο determine the type οf relatiοnship between x and y, we need tο lοοk fοr a pattern in the table οf values.

If the difference between successive values οf y remains cοnstant, then the relatiοnship is linear.

If the difference between successive values οf y varies but the difference between successive values οf the first difference οf y (the secοnd cοlumn) remains cοnstant, then the relatiοnship is quadratic.

If the ratiο οf successive values οf y remains cοnstant, then the relatiοnship is expοnential.

Let's calculate the first differences οf y (the differences between successive values οf y):

x       y     1st diff

-3     17       ---

-2     10       -7

-1     3        -7

0      -4       -7

Since the first differences οf y are cοnstant (-7), the relatiοnship between x and y is linear.

Therefοre, the relatiοnship between x and y is linear, and we can write it as:

y = -7x + b

Tο find the value οf b, we can use any οf the given values οf x and y. Let's use the last rοw οf the table:

0 = -7(0) + b

b = 0

Sο the equatiοn οf the linear relatiοnship is:

y = -7x

Hence, fοr any value οf x, we can find the cοrrespοnding value οf y using this equatiοn.

To learn more about ratio, Visit

https://brainly.com/question/12024093

#SPJ1

0.5a³b⁵

Step-by-step explanation:

the steps are clearly shown in the pic. hope this is correct and it helps

Yes, whole numbers are closed while adding. As a result, the assertion that is made is true.

In addition, the idea of a set, is being explored. Adding any two members of the set will result in a value that is also a member of the set if the set is closed.

In other words, addition is closed for the set of all numbers.

The addition of the set of positive integers is closed because the sum of any two integers is also an integer.

example,

let W be the set of whole numbers

let ,

a = 7 and b =78

=a+ b

= 7 + 78

=85  which is a whole number

Therefore a , b are closed under addition.

To learn more about addition

brainly.com/question/25421984

#SPJ4

Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

For more such questions on theorems visit:

https://brainly.com/question/343682

#SPJ8

Answer: Its C

Step-by-step explanation:

The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

John is 12 years old.

Step-by-step explanation:

She is three times as old as an 8 years old.

8*3 = 24

Twice as old as John. John is half her age.

24/2 = 12

Ratio is the relation between two amounts that shows the number of times one value contains within the other.

What is Ratio?

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.

Solution:

Ratio is the relation between two amounts that shows the number of times one value contains within the other.

To learn more about Ratio from the given link

https://brainly.com/question/2328454

#SPJ4

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

To know more about smallest possible inside length, refer to the link :

https://brainly.com/question/17304098#

#SPJ11

Answer:

C = $33,057.92

The cost of the pillar is $33,057.92

Step-by-step explanation:

Given;

Radius of the concrete r = 4 m

Height h = 7 m

Cost per volume R = $94 per cubic meter

π = 3.14

The volume of the cylinder shape concrete is;

V = πr^2 h

Substituting the given values;

V = 3.14×4^2 × 7

V = 351.68 m^3

The cost of the pillar is C;

C = Volume × cost per volume

C = V × R

C = 351.68 m^3 × $94 per cubic meter

C = $33,057.92

The cost of the pillar is $33,057.92

Answer:

3654.7

Step-by-step explanation:

isbssnsbscTag c z agajama

Answer:

if rounding to the nearest 10 :

3650

if rounding to the nearest tenths :

3654.7

Answer:

x1 = -4

y1 = 2

x2 = 0

y2 = 3

m = (y2 - y1) / (x2 - x1)

Plug in the numbers and evaluate m, then either of the 2 equations below represents the line in point slope form:

y - y1 = m(x - x1)

y - y2 = m(x - x2)

Plug in the numbers.  The slope intercept form is  

y = mx + b

b = 3 (given)

m = result from earlier step

You convert to standard from and finish from here.

Answer:

(8,8)

Step-by-step explanation:

Add 5 units to the x coordinate and 6 units to the y coordinate

(3+5, 2+6)

(8,8)

The point is now at (8,8)

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

For similar question on probability.

https://brainly.com/question/30599894

#SPJ11

Answer:

For a, the machine depreciates 20% of its current value each year.  So, It will lose 20% of its value in the first year.  Then in the second year, it will lose 20% of THAT value (not of the original value) and so on.

b) Since the machine loses 20% of its value each year, it retains 80% of its value each

Step-by-step explanation:

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

Read more on equation here: brainly.com/question/18912929

#SPJ4

Answer:

3.89

Step-by-step explanation:

To find the price per quart of the window cleaner, we need to first determine how many quarts the 3-gallon container contains. We can do this by converting the number of gallons to quarts using the conversion factor that 1 gallon is equal to 4 quarts.

3 gallons * 4 quarts/gallon = 12 quarts

Next, we need to divide the total cost of the window cleaner, $46.68, by the number of quarts to find the price per quart.

Price per quart = $46.68 / 12 quarts = $3.89/quart

Therefore, the price per quart of the window cleaner is $3.89.

The maximum value of 5x1 + 5x2 + 7x3 + x4 subject to the condition x1^2 + x2^2 + x3^2 + x4^2 = 100 is -√13/2 + (35√13)/26.

We have the objective function given as f(x, y, z) = 2x + z^2. We are given that f(x, y, z) has an absolute maximum value and absolute minimum value subject to the constraint x^2 + 2y^2 + 2z^2 = 25. To solve this problem, we need to use the method of Lagrange multipliers.

Let's begin by setting up the Lagrangian.

L(x, y, z, λ) = f(x, y, z) + λ(g(x, y, z))

Here, f(x, y, z) = 2x + z^2 and g(x, y, z) = x^2 + 2y^2 + 2z^2 - 25

Therefore, L(x, y, z, λ) = 2x + z^2 + λ(x^2 + 2y^2 + 2z^2 - 25)

The partial derivatives of L(x, y, z, λ) with respect to x, y, z, and λ are:

Lx = 2 + 2λx

Ly = 4λy

Lz = 2z + 4λz

Lλ = x^2 + 2y^2 + 2z^2 - 25

Setting them all equal to zero, we get the following system of equations:

2 + 2λx = 0 ...(i)

4λy = 0 ...(ii)

2z + 4λz = 0 ...(iii)

x^2 + 2y^2 + 2z^2 - 25 = 0 ...(iv)

From equation (ii), we get λ = 0 or y = 0.

If λ = 0, then from equations (i) and (iii), we have x = 0 and z = 0. Substituting these values in equation (iv), we get y = ±5. Therefore, we have the following two points: (0, 5, 0) and (0, -5, 0)

If y = 0, then from equation (iv), we get x^2 + 2z^2 = 25. Substituting this in equation (i), we have 2x + 2λx = 0, which gives us x = 0 or λ = -1.

If λ = -1, then substituting the values of λ and x in equation (iii), we get z = 0. Therefore, we have the point (0, 0, 5) as well.

So, we have the following three points: (0, 5, 0), (0, -5, 0), and (0, 0, 5).

To find the maximum value of 5x1 + 5x2 + 7x3 + x4 subject to the condition x1^2 + x2^2 + x3^2 + x4^2 = 100, we need to use the method of Lagrange multipliers again. Let's begin by setting up the Lagrangian.

L(x1, x2, x3, x4, λ) = f(x1, x2, x3, x4) + λ(g(x1, x2, x3, x4))

Here, f(x1, x2, x3, x4) = 5x1 + 5x2 + 7x3 + x4 and g(x1, x2, x3, x4) = x1^2 + x2^2 +

x3^2 + x4^2 - 100

Therefore, L(x1, x2, x3, x4, λ) = 5x1 + 5x2 + 7x3 + x4 + λ(x1^2 + x2^2 + x3^2 + x4^2 - 100)

The partial derivatives of L(x1, x2, x3, x4, λ) with respect to x1, x2, x3, x4, and λ are:

Lx1 = 5 + 2λx1

Lx2 = 5 + 2λx2

Lx3 = 7 + 2λx3

Lx4 = 1 + 2λx4

Lλ = x1^2 + x2^2 + x3^2 + x4^2 - 100

Setting them all equal to zero, we get the following system of equations:

5 + 2λx1 = 0 ...(v)

5 + 2λx2 = 0 ...(vi)

7 + 2λx3 = 0 ...(vii)

1 + 2λx4 = 0 ...(viii)

x1^2 + x2^2 + x3^2 + x4^2 - 100 = 0 ...(ix)

From equations (v) and (vi), we have λx1 = λx2. This implies that either λ = 0 or x1 = x2.

If λ = 0, then substituting the value of λ in equations (v), (vi), (vii), and (viii), we get x1 = -5/2, x2 = -5/2, x3 = -7/2, and x4 = -1/2. Substituting these values in equation (ix), we get 50 = 100, which is not true.

If x1 = x2, then from equations (v) and (vi), we get x1 = x2 = -5/(2λ). Substituting this in equations (vii) and (viii), we get x3 = -7/(2λ) and x4 = -1/(2λ). Substituting these values in equation (ix), we get 26/(λ^2) - 100 = 0, which gives us λ = ±√26/10.

Substituting the value of λ in equations (v), (vi), (vii), and (viii), we get x1 = x2 = -√13/5, x3 = -7√13/65, and x4 = -√13/130.

learn more about objective function

https://brainly.com/question/33272856

#SPJ11

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

for such more question on minutes

https://brainly.com/question/25279049

#SPJ8

Answer:

A

Step-by-step explanation:

To meet your retirement goal of spending $43,000/ year for 17 years, with an interest rate 6%/ year need to save $8,870.71 each year until retirement .

Amount spend = $43,000

Time period = 17 years

Annual interest rate = 6%

To determine how much you must save each year until retirement to meet your retirement goal,

Use the concept of present value (PV) and the formula for annuity payments.

The present value represents the current value of a future sum of money, taking into account the time value of money and the interest rate.

The retirement goal is to have $43,000 per year for 17 years, starting in 34 years, and the interest rate is 6% per year.

Calculate the annual savings required.

Let us break down the calculation step-by-step,

Calculate the present value (PV) of the retirement goal,

PV = Annual amount × \([1 - (1 + interest rate)^{(-number of years)}]\) / interest rate

⇒ PV = $43,000 ×  \([1 - (1 + 0.06)^{(-17)}]\) / 0.06

Calculate the present value of the annual savings needed until retirement,

PV = Annual savings ×  \([(1 - (1 + interest rate)^{(-number of years)})\)/ interest rate]

Rearranging the formula to solve for the annual savings,

Annual savings = PV × interest rate / \([1 - (1 + interest rate)^{(-number of years)}]\)

⇒Annual savings = PV × 0.06 / \([1 - (1 + 0.06)^{(-34)}]\)

Now, let us calculate the annual savings required,

⇒PV = $43,000 × \([1 - (1 + 0.06)^{(-17)}]\) / 0.06

⇒PV ≈ $43,000 × [1 - 0.337916] / 0.06

⇒PV ≈ $43,000 × 0.662084 / 0.06

⇒PV ≈ $471,500

Annual savings = $471,500 × 0.06 / \([1 - (1 + 0.06)^{(-34)}]\)

⇒Annual savings ≈ $471,500 × 0.06 / 0.282171

⇒Annual savings ≈ $8,870.71

Therefore, need to save approximately $8,870.71 each year until retirement to meet your retirement goal of spending $43,000 per year for 17 years, assuming an interest rate of 6% per year.

Learn more about interest rate here

brainly.com/question/30063347

#SPJ4

Step-by-step explanation:

is there a picture to the question it would help with the question

Answer:

what is the question at hand?

Step-by-step explanation:

I'll gladly solve if you can provide a question?

Answer: The answer is provided below

Step-by-step explanation:

A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.

The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:

= 60% of $30.65

= 60/100 × $30.65

= 0.6 × $30.65

= $18.39

The new selling price = $30.65 - $18.39

= $12.26

The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.

The population of brazil is 5 times more than the population of Argentina

What is population?

The term "population" usually refers to the total number of people living in a particular area, such as a city or town, region, nation, continent, or the entire world. Governments frequently use censuses, a procedure for gathering, analysing, compiling, as well as publishing data regarding a population, to determine the size of a resident population inside their jurisdiction.

We are given that the population of argentine is \(4\)×\(10^7\)

And the population of brazil is \(2\)×\(10^8\)

Now we are asked to find How many times larger is the population of Brazil than the population of Argentina

Now Population of brazil can also be written as \(20\)×\(10^7\)

Now we take the ratio of population of brazil and population of argentine

We get,

\(\frac{20}{4}\)×\(\frac{10^7}{10^7}\)

=5

Hence, population of Brazil is 5 times larger than the population of Argentina

Hence the correct option is option c) 5
To learn more about population please refer
https://brainly.com/question/25896797
#SPJ13

Answer:

2

Step-by-step explanation:

-8(17 - 12) / -2(8-(-2))

-8 × 5 / -2 × 10

-40 / -20

= 2

Hope this helps

plz mark as brainliest!!!!!!

Answer:

\(option \: c. \: 2\)

Step-by-step explanation:

\( \frac{ - 8(17 - 12)}{ - 2(8 - ( - 2))} = \frac{ - 4(5)}{10} = 2. \\ \\

♨Rage♨

\)