What series of transformations would carry the rectangle onto itself?
O(x+0,y-4), 180° rotation, reflection over the y-axis
O(x+0, y-4), 180° rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the y-axis

Answer:

As we approach the turn of the millennium, it is natural to wonder what the future holds. For a local magazine, predicting trends and changes in the community is essential to staying relevant and informative. In the year 2001, I predict that our city will continue to grow and evolve in exciting ways.

One major focus for our magazine should be on technology. As we enter a new era of digital communication and information sharing, it will be important to keep readers informed about new developments and how they impact our daily lives. This could include coverage of local tech startups, updates on internet infrastructure projects, or profiles of innovative individuals using technology to make a difference in our community.

Another area of interest will be sustainability. As concerns about climate change become more urgent, I predict that our city will take bold steps towards becoming more environmentally friendly. Our magazine can highlight initiatives like bike lanes, green energy projects, or sustainable food systems.

Overall, I believe that by focusing on these key areas – technology and sustainability – our local magazine can remain relevant and engaging for years to come.

BRAINLIEST please

thanks

Answer:

a. y = 6.5x + 3.99

b. y = 10.49x

Step-by-step explanation:

a.

total cost = charge per shirt + flat rate of shipping

y = 6.5x + 3.99

b.

total cost = charge per shirt + shipping charge per shirt

y = 6.5x + 3.99x

y = 10.49x

If the shipping charge applies to every shirt, then the total cost is the cost of the shirts (6.5x) plus the cost of shipping multiplied by the number of shirts (3.99x)

For a continuous function, if the second derivative at the critical points is negative, then it not necessarily mean that it is quasi-concave.

A "continuous-function" is defined as a function in which small changes in the input result in small changes in the output, without any abrupt jumps or discontinuities.

A function is termed as "quasi-concave" if its upper contour sets are convex.

A function is termed as "quasi-convex" if its lower contour sets are convex.

The "Quasi-concavity" is a weaker condition than concavity, so it does not exhibit in a condition on the sign of "second-derivative".

Therefore, if a continuous function has a negative second derivative at its critical points, it does not necessarily mean that it is quasi-concave.

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Answer:

cosine

Step-by-step explanation:

The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angle = 35°

Hence, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ sec 35° = Hypotenuse / Base

⇒ 1/cos 35° = 9 / JG

Thus, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

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Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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Answer:

union apparently

Answer:

u = 26.1°

Step-by-step explanation:

the 2 angles u and 44.1° combine to form the angle 70.2° , that is

u + 44.1° = 70.2° ( subtract 44.1° from both sides )

u = 26.1°

Answer:

Largest angles- 115

Largest angle- 115

Smallest angle-65

Smallest angle-65

Step-by-step explanation:

Angles of opposite sides in a parallelogram are equal.

Let the smallest angle be y.

Let the largest angle be y+50

y+50+y+50+y+y=360

100+4y=360

4y=(360-100)/4

y=65

Theyre four angles:

50+y(65)= 115

50+y(65)= 115

y=65

y=65

Answer: 65° and 115°.

Step-by-step explanation:

Let the smallest angle is x°

Hence the largest angle is x°+50°

The sum of the angles in a parallelogram that are adjacent to one side is 180 degrees.

Therefore

x°+(x°+50°)=180°

2x°+50°=180°

2x°+50°-50°=180°-50°

2x°=130°

Divide both parts of the equation by 2:

x°=65°

x°+50°=65°+50°

x°+50°=115°.

The approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer or circumference walkway is 21 meters.

Let r₁ and C₁  be the radius and the circumference of the inner circle.

Let r₁​ and C₂  be the radius and the circumference of the outer circle.

The width of the circular path is (r₂​ −r₁ ) m.

Given, C₂ −C₁ = 132 m

⇒2πr₂−2πr₁ = 132m

⇒2π(r₂ −r₁ ) = 132m

⇒r₂−r₁ = 66/22/7

​⇒r₂−r₁ = 21

Thus, width of the circular path is 21 m.

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The fractions that are greater than 3/8 are option A. 1/2, option B. 4/5, and option D. 2/3.

To compare fractions, we need to make sure they have the same denominator. In this case, we can convert all the fractions to have a denominator of 8:

3/8 = 3/8

1/2 = 4/8

4/5 = 6.4/8

1/3 = 2.7/8

2/3 = 5.3/8

2/12 = 1/6 = 1.3/8

Now we can see which of these fractions are greater than 3/8:

3/8 = 3/8

4/8 = 1/2 > 3/8

6.4/8 > 3/8

2.7/8 < 3/8

5.3/8 > 3/8

1.3/8 < 3/8

So, the fractions that are greater than 3/8 are 1/2, 4/5, and 2/3.

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The complete question goes thus:

Which of the fractions below are greater than 3/8? Select three.

A. 1/2

B. 4/5

C. 1/3

D. 2/3

E. 2/12

It is true that the areas of regions B and C added together equal the area of region A.

A region is an area of land that has a distinct physical or cultural identity. Regions are typically characterized by particular geographic features, such as mountains, rivers, or seas; by cultural attributes, such as language, religion, or government; or by economic activities, such as farming, mining, or industry.

Assume that A, B, and C will have diameters of a, b, and c, respectively.
Consequently, the semicircle's surface area is,
A = 1/2π(d/2)²
A = (π/8) d²
In a right-angled triangle, the square on the hypotenuse is equal to the particular sum of the squares of one two sides. With a right triangle,
a² = b² +c²   ----(1)
The areas for regions A, B, and  C will be  (π/8) a²,  (π/8) b², and  (π/8) c² accordingly.
Equation 1's (/8) multiplication yields,
(π/8) a² = (π/8) b² +(π/8) c²
The result is
Region A's area is equal to Region B's plus Region C's.

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Complete Question:

It is true that the areas of regions B and C formed by the semi circles added together equal the area of region A.

What is semi circle?

In geometry, a semicircle can be defined as a half circle made by cutting the circle into two halves. It is formed when a line passes through the center of a circle and touches the two ends of the circle which is the diameter of the circle.

Let us assume that A, B, and C will have diameters of a, b, and c, respectively.

By the formula of semicircle's surface area,

A = 1/2π(d/2)² where d is the diameter of the semi circle.

A = (π/8) a² [ since diameter of semicircle A is a]

By Pythagoras theorem, In a right-angled triangle, the square on the hypotenuse is equal to the  sum of the squares of  two sides.

So here from the right angled triangle we get,

a² =b² +c²   ----(1)

The area for region A is  (π/8) a²

The area of  region B is (π/8) b²

and  the area of region C is (π/8) c²

Now, Area of region B + Area of region C

= (π/8) b² + (π/8) c²

= (π/8) ( b² +c² )

= (π/8) a² [ from equation (1)]

Hence , Region A's area is equal to Region B's plus Region C's area.

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The correct option is:

Steering wheel the proper distance from the body, at least a foot from the body, right foot should reach behind the brake pedal and knee should be slightly bent.

What is distance?

Distance is a numerical measurement of the amount of space between two objects or points.

distance between steering wheel and body ≥ 1 foot

length of driver's leg + distance from seat to brake pedal = distance from seat to brake pedal when leg is slightly bent

These considerations help to ensure that the driver is seated in a safe and comfortable position while operating the vehicle.

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Answer: 520

Step-by-step explanation:

if pizza times pizza times pizza equals 27, the square root of twenty seven is three. so three time three equals 9, then times cheeseburger(which equals 2) would equal 18. so 2*2+2= taco(8)

The perimeter of the figure which is a rectangle with a semicircle on its shorter side would be =34.28ft

To calculate the perimeter of the figure, the perimeter of both the rectangle and the semicircle is calculated separately and added together.

The perimeter of rectangle = 2(l+w)

where;

l = 10ft

w = 4ft

perimeter = 2(10+4)

= 2× 14

= 28ft

Perimeter of semicircle = 2πr/2 = πr

where

π = 3.14

r = 4/2 = 2ft

perimeter = 3.14×2 = 6.28

Therefore, the perimeter of the given figure = 28+6.28 = 34.28ft.

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Answer:

f(x)= 3x+2

Step-by-step explanation:

math

:)

Answer:

w ≥ 13.5

Step-by-step explanation:

-(4/ 9)w ≤ -6

Multiply both side by - 1

(4/ 9)w ≥ 6

Cross multiply

4w ≥ 54

Divide both side by the coefficient of w

4w/4 ≥ 54/4

w ≥ 13.5

Answer:

9 × ( 9 + 5 )

Hope this helps!

Step-by-step explanation:

The GCF of 81 and 45 is 9.

Answer:

Step-by-step explanation:

[tex]\tt 5x-2+x=9+3x+10[/tex]

Combine like terms:-

[tex]\tt 5x+x-2=9+3x+10[/tex]

[tex]\tt \:5x+x=\bf 6x[/tex]

[tex]\tt 6x-2=9+3x+10[/tex]

Add numbers:-

[tex]\tt 9+10=\bf 19[/tex]

[tex]\tt 6x-2=3x+19[/tex]

Add 2 to both sides:-

[tex]\tt 6x-2+2=3x+19+2[/tex]

[tex]\tt 6x=3x+21[/tex]

Subtract 3x from both sides:-

[tex]\tt 6x-3=3x+21-3[/tex]

[tex]\tt 3x=21[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{21}{3}[/tex]

[tex]\tt x=7[/tex]

____________________

Hope this helps! :)

Answer: X = 17

Step-by-step explanation: First combine like terms on both sides so the 5x + x on the left side for a total of 6x and the 9 + 10 on the right side for a total of 19. Then get your variables and numbers all to one side each so you would add 2 from the left to the right and cancel out and then subtract 3x from the right to the left and cancel out. Finally you would divide 21 by 3.

5x-2+x=9+3x+10

6x-2=19+3x

+2 -3x

3x=21

/3. /3

x=7

Answer:

11/16 is the answer or 22/32

To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls. Therefore, We can estimate that there are about 21 rubber balls in the basket.

An average proportion is the sum of a set of proportions divided by the number of proportions.

It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population.

To estimate how many of the balls in the basket are rubber, we can use the proportion of rubber balls that were drawn in each class to find the average proportion of rubber balls across all four classes.

We can then use this average proportion to estimate the number of rubber balls in the whole basket.

The total number of balls drawn from the basket is:

(2 + 8) + (4 + 6) + 2 x (3 + 7) = 40

The total number of rubber balls drawn is:

2 + 4 + 2 x 3 = 12

The proportion of rubber balls drawn in each class is:

Class 1: 2/10 = 0.2

Class 2: 4/10 = 0.4

Class 3: 3/10 = 0.3

Class 4: 3/10 = 0.3

The average proportion of rubber balls across all four classes is:

(0.2 + 0.4 + 0.3 + 0.3) / 4 = 0.3

Therefore, we can estimate that approximately 30% of the balls in the basket are rubber. To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls:

Number of rubber balls = 0.3 x 70 = 21.

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Answer:

retail price = $13.00

Step-by-step explanation:

10 x 1.30 = $13

Answer:

1750ml

Step-by-step explanation:

2L=2000ml

2000-250

1750ml

Based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center for both sets of data. The two common measures of center are the mean and the median.

Calculating the mean and median for both sets of data, we get:

Perks A Lot:

Mean = (10+3.5+3+5+2.5+7+8+5.5+9.5+6+9+4.5)/12 = 5.75

Median = the average of the 6th and 7th numbers when the data is arranged in order: 3, 3.5, 5, 5.5, 6, 7, 8, 9, 9.5, 10

Wide Awake:

Mean = (2.5+10+4+18+4+3+6.5+15+6+5+2.5)/11 = 6

Median = the average of the 5th and 6th numbers when the data is arranged in order: 3, 4, 5, 6, 6.5, 10, 15, 18

Comparing the measures of center, we can see that Perks A Lot has a lower mean and a higher median compared to Wide Awake. This suggests that Perks A Lot sells less coffee on average, but has more consistent sales with less extreme values. On the other hand, Wide Awake has higher average sales, but with a wider range of values.

Therefore, based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

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Answer: Anything greater than 3

Step-by-step explanation:

The answer can be any number greater or equal to 3. This is because if you subtract 3 by 3 you get 0 and zero is still greater than -2 making the inequality true

Answer:

y² + 6y + 9.

It can be expressed into two binomials like this.

Answer:

(y + 3)(y + 3)

Using (a+b)² = (a+b)(a+b)

The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)

Answer:The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)

Step-by-step explanation:

The digit information are:

A) 900,000,000

B) 40,000

900,000,000: Nine hundred million. The first three digits (900) represent the hundred millions place, the next three digits (000) represent the ten millions place, and the last three digits (000) represent the ones (or units) place.

Lastly, 7009: Seven thousand nine. The first digit (7) represents the thousands place, the next two digits (00) represent the hundreds place (which are omitted since they are zeroes), and the last two digits (09) represent the ones (or units) place.

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See full text below

3.- Anota el valor posicional de las cifras encerradas

=

a) (9) 1(5) 23(6) 470

b) 38(4) 1(7) 6(9)

3.- Write down the place value of the enclosed figures

=

a) (9) 1(5) 23(6) 470

b) 38(4) 1(7) 6(9)

Answer: A: $2374.56

there

Step-by-step explanation:

FICA taxes is the Social Security and the Medicare added together

So you add 1924.48+450.08 and you get 2374.56