y = -1/2x + 4 y = x-1 Graph the system of equations and determine the solution.

3 Since the smaller photo has a decrement ratio of roughly $3 to $6, it would be half as tall in Diagram 1, making it 2 inches wide. For Diagram 1, the height is 6 for the usual photo, therefore each one has to be 3 inches high.

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Answer:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; \(0 \leq x \leq 5\) }

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Let us check the elements in set B.

\(x = 0 = 0^{2}\)

\(x\:=\:1\:=\:1^2\)

\(x\:=\:4\:=\:2^2\)

\(x\:=\:9\:=\:3^2\)

\(x\:=\:16\:=\:4^2\)

\(x\:=\:25\:=\:5^2\)

It is clear that each element in set B is a square of a whole number.

Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; \(0 \leq x \leq 5\) }

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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True. Systems that can absorb any type of data, structured or not, from any type of source are often referred to as schema-less.

In a schema-less system, there is no predefined structure or schema that the data must conform to, allowing for greater flexibility in handling a variety of data formats and sources.

This can be particularly useful in big data environments, where data may come from a wide range of sources and be in a variety of formats. Schema-less systems typically rely on techniques such as dynamic schema discovery and schema-on-read to interpret and process the data.

A schema-less system is a type of database management system that allows for flexible and dynamic data structures, without requiring a pre-defined schema or structure.  

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Answer

Option B is correct.

SAS | 2 sides and the angle between them in one triangle are congruent to the 2 sides and the angle between them in the other triangle, then the triangles are congruent.

Explanation

We have been told that the two triangles have two sets of sides that are congruent to each other.

And we can see that the angle between those congruent sides for the two triangles is exactly the same for the two triangles.

So, it is easy to see that thes two triangles have 2 sides that are congruent and the angle between these two respective sides are also congruent.

Hope this Helps!!!

Answer:

0.8015

Step-by-step explanation:

Hope I'm correct lol

Answer:

Y=x-3/4

Step-by-step explanation:

slope intercept form

(slope=x)(1x=x)

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Answer:

f=4-3t^2/t+1

Step-by-step explanation:

if they are just sitting its not likely but if they are standing especally if they like have there head out of the window yes and the speed if the wind would most likely tear you apart

Answer:

no

Step-by-step explanation:

they would no be sucked in

The difference, in euros, between the cost of the newspaper in France and the cost of the newspaper in England is 2.10 euros.

Exchange rate is the rate at which one currency is exchanged for another currency.

Cost of the newspaper in England in euros = 2.50 x 1.16 = 2.90

Difference in costs = 5 euros - 2.90 euros = 2.10 euros

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Variable x and y for the rectangle is given by

x = (3x + 3)/6 + 1

y = (3x + 3)/6

Yes that's right. You have to equate the expressions for widths and for the lengths, since left and right widths (and lengths) have the same dimensions.

You may rewrite the equation for y=3x+3÷6 as

y = (3x + 3)/6

And now you have an expression for y, we can substitute it to the other equation you got:

x = y + 1

x = (3x + 3)/6 + 1

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Answer:
Cost of each donut should be $3.00

Step-by-step explanation:

please tell me if I am wrong. 2.00 x 0.5 is 1. 2 + 1 is 3.

Answer:

3

Step-by-step explanation:

2 x .5 is 3 1 so. add 2 and 1

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

Line A

Step-by-step explanation:

The slope is the rise over run of the line, or in other words, the number of units the line travels up over the number of units the line travels to the right. For a line to have a slope of 1, this ratio would have to be 1:1, or 1/1. We can see on the graph that this description fits line B.

Line B ⇒ Has a slope of 1

For a line to have a slope that is greater than one, it has to 1) travel upwards and 2) be steeper than line B. Lines C and D are both less steep than Line B, and Line A is the only line steeper than Line B, so therefore, the line with a slope that is greater than 1 is Line A.

I hope this helps!

Based on the taxes in the first city and the tax in the second city as well as the total hotel tax paid in the two cities, the hotel charge for each city before taxes was:

The hotel charge before taxes was $500 higher in the second city than in the first. Assuming the charge in the first city was x, the charge in the second city was:

= x + 500

The total charge in the first city would be:

0.065x + 0.06(x + 500) = 748.75

0.065x + 0.06x + 30 = 748.75

0.125x + 30 = 748.75

0.125x = 748.75 - 30

0.125x = 718.75

x = 718.75/0.125

x = $5,750

The total charge in the second city would be:

= 5,750 + 500

= $6,250

In conclusion, the charges in the first and second cities are $5,750 in the first city and $6,250 in the second city.

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Answer: a= 0.0231

Step-by-step explanation:

n=8

p=0.75

q=1 - 0.75 = 0.25

(p=x)

p(5) = 8C5 (0.25)^5 (0.75)^8-5

p(5)= 0.0231

Or 2.31%

The probability that exactly 3 people  from that group will go to Ches Tahoe restaurant is 2.11%

The probability that at least 35 people will go to Ches Tahoe  the restaurant is -1.88.

Given that,

When you select a random person, the probability that this person will go to Ches Tahoe restaurant is 75%,

We have to determine,

You randomly select 8 people. What is the probability that exactly 3 people

from that group will go to Ches Tahoe restaurant.

You randomly select 50 people. Use the normal approximation to the binomial distribution to find the probability that at least 35 people will go to Ches Tahoe restaurant.

According to the question,

When you select a random person, the probability that this person will go to Ches Tahoe restaurant is 75%,

You randomly select 8 people.

Then,

The probability that exactly 3 people

from that group will go to Ches Tahoe restaurant is,

\(P(x) = ^nC_x \times q^x \times p^{n-x}\)

Where n = 8, x = 5, q = 1 - 0.75 = 0.25, and p = 0.75

Substitute all the values in the expression,

\(P(5) = ^8C_5 \times (0.25)^5 \times (0.75)^{8-5}\\\\P(5) = \dfrac{8!}{(8-5)!. 5!} \times 0.00097 \times (0.75)^3\\\\P(5) = \dfrac{8 \times 7 \times 6}{3 \times 2} \times 0.00097 \times 0.42\\\\P(5) = 0.2118\\\\P(5) = 2.11 \ Percent\)

The probability that exactly 3 people from that group will go to Ches Tahoe restaurant is 2.11%.

You randomly select 50 people. Use the normal approximation to the binomial  distribution

Then, the probability that at least 35 people will go to Ches Tahoe  restaurant is,

Mean for that at least 35 people will go to Ches Tahoe  restaurant is,

\(\mu = n \times p \\\\\mu = 8 \times 0.75\\\\\mu = 6\)

And standard deviation that at least 35 people will go to Ches Tahoe  restaurant is,

\(\sigma = \sqrt{n \times p \times q} \\\\\sigma = \sqrt{0.75 \times 0.25 \times 8}\\\\\sigma = \sqrt{1.5}\\\\\sigma = 0.53\)

Normal approximation to the binomial distribution is,

\(z = \dfrac{x-\mu}{\sigma}\\\\z = \dfrac{5-6}{0.53}\\\\z = \dfraac{-1}{0.53}\\\\z = -1.88\)

The probability that at least 35 people will go to Ches Tahoe  the restaurant is -1.88.

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To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Answer:

Step-by-step explanation:

volume of sphere=4/3 π (7.8)³

=4/3π×474.552

=π×4×158.184

=632.736π

≈1987.799 cm³

Answer:

2(n + m)

Step-by-step explanation:

The resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),

Let the coordinate of the triangle DF be given as D(1, 3), E(2, -3) and F(0, 5).

For the coordinates D(1, 3), E(2, -3), and F(0, 5), assuming the coordinate point is dilated by a factor of 2, the resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),

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Note that the question is answered on a general term.

Answer:

√5

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

x = ~2.17 (rounded)

Step-by-step explanation:

First, combine like terms (terms with the same amount of the same variable):

5x + 1 + 18x + 11 = 62

(5x + 18x) + (1 + 11) = 62

(23x) + (12) = 62

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, &  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 12 from both sides:

23x + 12 (-12) = 62 (-12)

23x = 62 - 12

23x = 50

Divide 23 from both sides to isolate the variable, x:

(23x)/23 = (50)/23

x = 50/23 = 2 4/23 = ~2.17 (rounded to the nearest hundredths).

Answer:

x= -2.17 (rounded to nearest hundredth)

Step-by-step explanation:

5x + 1 + 18x + 11 = 62

     -1            -11      -12

subtract 1 and 11 from both sides which leaves you with:

5x + 18x = 50

add 5x and 18x and you get:

23x = 50

now divide both sides by 23 and get:

x=-2.17

Answer:

45

Step-by-step explanation:

Answer: 60 kilometers

Step-by-step explanation:

Plug in your hours:

y = 15(3) + 15

y = 45 + 15

y = 60 kilometers

Hope this helps!

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".

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

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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