This is a little big easy

Answer:

The given statement is true.

In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.

Consider an exponential function  and a quadratic function .

Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.

Therefore, we can conclude that the given statement is correct.

Step-by-step explanation:

[tex]a_n = \frac{2n}{n + 6} \\ \\ a_1 = \frac{2 \times 1}{1 + 6} = \frac{2}{7} \\ \\ a_2 = \frac{2 \times 2}{2 + 6} = \frac{4}{8} = \frac{1}{2} \\ \\ a_3 = \frac{2 \times 3}{3 + 6} = \frac{6}{9} = \frac{2}{3} \\ \\ a_4 = \frac{2 \times 4}{4 + 6} = \frac{8}{10} = \frac{4}{5} \\ [/tex]

Answer: $12a

Step-by-step explanation:

Cost of brick = $2 per foot

Cost of edging needed=?

Shape of garden = hexagonal= 6 sides and all sides are equal

The perimeter of a regular hexagon = 6×a

Where a = length of one of the sides , since the sides are equal.

Cost of edging = perimeter size (in feet) * cost per foot

Cost of edging = 6a * $2

Therefore, cost of edging = $12a

Where a = length of it's side in feet.

Answer: $144

Step-by-step explanation:

There are 12 feet on the hexagon so 12x2 is $24. there are also 6 sides on the hexagon so 6x24 is 144. (this is from a math textbook.)

Answer:

13√731 cm²

Step-by-step explanation:

Heron

A = √p(p-a)(p-b)(p-c)

p = (a+b+c)/2 = (30+30+26)/2 = 86/2 = 43

A = √43*(43-30)(43-30)(43-26)

= √43*13*13*17

= 13√43*17

= 13√731 cm²

Phytaghora

h = √30² - 13²

= √900 - 169

= √731

A = h × b/2

= √731 × 26/2

= 13√731 cm²

Answer: Dakota was less than 51 inches last summer.

Step-by-step explanation: First of all let us represent Dakota's height last summer by letter x.

The height requirement for the roller coaster is given as 54 inches. This means Dakota must be 54 inches or higher in order to be allowed on the ride. However, Dakota is too short to ride. This can be represented mathematically as x < 54.

If However, last summer Dakota grew 3 inches taller, then we can also represent this mathematically as x + 3 < 54.

To solve for this;

x + 3 < 54

Subtract 3 from both sides of the inequality

x < 51. (That is x is less than 51)

Since Dakota's height has been represented by x, we can now interpret this inequality as;

Dakota was less than 51 inches tall last summer.

Answer:

2/3 5/10 7/8 1/2

Step-by-step explanation:

hello  :

2/3 =(2×8)/(3 ×8) = 16/24

5/10 = 1/2= (1×12)/(2 ×12)=12/24

7/8= (7×3)/(8 ×3)= 21/24

the greater is : 7/8

To determine which of the fractions 2/3, 5/10, 7/8, and 1/2 is the greatest, we must first convert the fractions to decimals. Once converted, 7/8 (0.875) is the highest decimal value, thereby making it the greatest fraction.

To figure out which is greater among 2/3, 5/10, 7/8 and 1/2, we need to convert each of these fractions into decimals because it is easier to compare decimals than fractions.

So, 2/3 = 0.6667, 5/10 = 0.5, 7/8 = 0.875 and 1/2 = 0.5.

Comparing these decimals, it is clear that 7/8 (which equals to 0.875) is the greatest among the four.

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The best estimate for the total weight of the packages is 2262 pounds.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Total number of packages that Tony has = 39 packages

Weight of each package = 58 pounds

In order to find the weight of total packages we have to add the weight of each packages.

We have to add the weight of a package 39 times since the number of packages is 39.

That is, we can multiply 39 with 58.

Total weight = 39 × 58 pounds

                     = 2262 pounds

Hence the total weight of the packages is 2262 pounds.

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Final answer:

To find the total weight of Tonya's packages, multiply the number of packages by the weight of each package, which results in an estimated total weight of 2,262 pounds.

Explanation:

Tonya has 39 packages, each weighing 58 pounds. To find the total weight, we multiply the number of packages by the weight of each package:

39 packages * 58 pounds = 2,262 pounds

The best estimate of the total weight of the packages is 2,262 pounds.

Answer:

The only options equivalent to 2:9 are B and C.

Step-by-step explanation:

A ratio is a comparison between two or more numbers.

When two ratios are equivalent, they describe the same relationship between numbers.

An equivalent ratio is to a number is usually the same ratio in which the numerator and denominator (first and second number) have been multiplied by a common multiple.

To find if two ratios are equivalent, we have to put them in their simplest forms and compare.

The ratio we are comparing other ratios with is 2:9

So, we will put all other ratios in their simplest form and see if it gives us 2:9

A. 9:2 - This is already in its simplest form and it is not equal to 2:9.

B. 18:81 - To put this in simplest form, we divide both numbers by 9:

18:81 = 2:9

Hence, this is an equivalent ratio to 2:9.

C. 12:54 - To put this in simplest form, we divide both numbers by 6:

12:54 = 2:9

Hence, this is an equivalent ratio to 2:9.

D. 18:4 - To put this in simplest form, we divide both numbers by 2:

18:4 = 9:2

This is not the same as 2:9.

E. 20:45 - To put this in simplest form, we divide both numbers by 5:

20:45 = 4:9

This is not the same as 2:9.

The only options equivalent to 2:9 are B and C.

Answer:

The answer is way to easy for me: B and C

Answer:

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number

Answer:

x= 120

Step-by-step explanation:

Since this is an equilateral triangle all of its angles inside of it equal to 60 degrees. Therefore 180 - 60 = 120.

Answer:

No, the skater cannot

Step-by-step explanation:

Base on the scenario been described in the question, we can see that the skater loses what part of his body which he use for the sporting activities of skating, unfortunately he loses it, so he cannot be able to continue skating. Because his body system will not function properly

Answer: $16.50

Step-by-step explanation:

Answer:

$16.50

Step-by-step explanation:

2 bags of cat food is $5.50 so you times that by three and get six bags for $16.50

Answer:

Bellow in bold.

Step-by-step explanation:

Multiply each coordinate by 2:

A(2, 3) ---> A' = (2*2, 3*2) = (4, 6)

In a similar way  B' = (6, 10) and C' = 14, 8).

Answer:

A' = (4, 6) B' = (6, 10) and C' = 14, 8).

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

This results in a 16.6% probability. The correct option is (b).

There are 3 individuals (Don, Eric, and Finn) and so 3! (3 factorial) ways to arrange them, which is 3*2*1=6 ways.

The desirable permutation, which is they stand in alphabetical order, is just one way. So, the probability is Number of Favorable Outcomes / Total Number of Outcomes = 1/6.

Thus the correct answer is (1/6) * 100% to convert to a percentage which is approximately 16.6%.

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Look at the attached picture ⤴

Hope it will help u...

Final answer:

To solve the equation 0.03x - 0.1 = 2.6, you add 0.1 to both sides and then divide by 0.03, resulting in the value of x being 90.

Explanation:

In the equation 0.03x - 0.1 = 2.6, to find the value of x, we first add 0.1 to both sides of the equation to isolate the term with x on one side. This gives us 0.03x = 2.7. Next, we divide both sides of the equation by 0.03 to solve for x, which gives us x = 2.7 / 0.03. Therefore, the value of x is 90.

Answer:

medium 156+240+105=501

small 204 + 120=324  

large 40+240  =280

Step-by-step explanation:

600 of what ever the percentage or the fraction to find each small and large also medium.

example = 600 x 34% =204

another example is 400 x 3/10 = 40

The total number of medium packets of mints bought by the three shopkeepers Anne, Ben and Chas is calculated to be 622, using ratios and percentages to determine the breakdown of packets bought.

To solve this problem, we first find out the number of small, medium, and large packets each shopkeeper buys. For Anne, if 34% of 600 packets are small, she buys 0.34 * 600 = 204 small packets. Then, from the remaining packets 49% are large, which makes 0.49 * 600 = 294 large packets. The rest are medium packets, making 600 - 204 - 294 = 102 medium packets.

For Ben, 3/10 of his 400 packets are small, which makes 3/10 * 400 = 120 small packets. Also, 1/10 of his packets are large, hence 1/10 * 400 = 40 large packets. The rest, thus, are medium: 400 - 120 - 40 = 240 medium packets.

For Chas, if the ratio of small packets to medium packets is 3:4, meaning for every 3 small packets, there are 4 medium packets. She bought 210 small packets, thus for medium packets, using the ratio, it becomes 210 * (4/3) = 280 medium packets.

The total number of medium packets that these shopkeepers buy is thus: 102 + 240 + 280 = 622 medium packets.

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Answer:

2926.32 cubic inches

Step-by-step explanation:

Given the information:

=> its radius is: 9.5/2 = 4.75 in

As we know, the formula used to find the volume of the sphere is:

V =π [tex]\frac{4}{3} r^{3}[/tex]

=> the volume of the basketball is:

V = π [tex]\frac{4}{3} 4.75^{3}[/tex]

= 448.69 cubic inches

As we know, the formula used to find the volume of a cube is:

V = [tex]a^{3}[/tex]

=> the volume of the box:

V = [tex]15^{3}[/tex] = 3375 cubic inches

Hence, The volume of foam there is needed to complete the box is the subtraction between the two volumes above:

= the volume of the box - the volume of the basketball

=  3375 - 448.69

= 2926.32 cubic inches

Answer:

"three sides measuring 4 ft, 8 ft, and 14 ft"

Step-by-step explanation:

The last one which says "three sides measuring 4 ft, 8 ft, and 14 ft" because the two shorter sides always must be greater than the length of the longest side.

Answer:

"three sides measuring 4 ft, 8 ft, and 14 ft"

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

To find the midpoint, you need to plug the 2 points in to the midpoint formula.

[tex]( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]. You are basically adding the x values and divided the sum by 2 and doing the same for the y values. To find the x value of the midpoint, you add -3 and 7 which gets you 4, then you divide by 2 which is 2. To find the y value of the midpoint you, you add 4 and 10 which gets you 14, then you divide by 2 which gets you 7. So your mid point is (2,7).

Answer:

its 42!! found it on hegarty lol

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

Let’s write the equation for Tim according to the question, that is t = 14h

Now for sheri, looking at the table, we can see that in two hours, he sells 14 tickets . This means that he sells at an average rate of 7 tickets per hour

Modeling his selling rate, with t being the number of tickets and h being the number of hours, we have;

t = 7h

Tim’s rate is t/h = 14

While sheri’s rate is t/h = 7

We can see that Tim’s rate is double Sheri’s rate

The rate of a linear function is simply the slope of the function.

The true statement is (b) the rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.

Tim's equation is given as:

[tex]t = 14h[/tex]

A proportional linear equation is represented as:

[tex]t = mh[/tex]

Where m represents the slope/rate.

This means that:

[tex]m = 14[/tex] --- Tim's rate

The slope of Sheri's table is calculated using:

[tex]m = \frac{y_2-y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{28 -14}{12 -10}[/tex]

[tex]m = \frac{14}{2}[/tex]

[tex]m = 7[/tex] ---- Sheri's rate

By comparison:

[tex]14 = 7 \times 2[/tex]

This means that: Tim's rate doubles Sheri's rate.

Hence, the true statement is (b)

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Jada's reasoning about the temperatures is incorrect because in negative numbers, the lower the value, the colder the temperature. Hence, Anchorage at -21°C was colder than Minneapolis at -14°C.

Jada's statement that "-14 is also less than -21" is incorrect when referring to temperatures in degrees Celsius. In fact, when we work with negative numbers, especially temperatures, the higher the negative number, the warmer the temperature. That is, -14°C is warmer than -21°C. Therefore, it was actually colder in Anchorage, Alaska at -21°C compared to Minneapolis, Minnesota at -14°C. To understand this better, we can look at a thermometer or a number line where numbers to the right are higher (warmer) than those to the left.

Answer:

It will be 4500

Step-by-step explanation:

Just substitute 4 for x in both equations and you will get:

r(4) = $5,000 store's revenues in 4 months

c(4) = $500 store's expenses in 4 months.

So, (r - c) = $5,000 - $500 =$4,500 store's profit after 4 months in business.

Hopes this works out!

Answer:

1.a

2.b

Step-by-step explanation:

The first column is the domain, while the second column is the range. Therefore, 1 is a, and 2 is b. Hope this helps!

Answer:

26-3.50-8x=16.18

Step-by-step explanation:

To create an equation representing what she spent, we need to start with the money she had and end with the money she has left.

We know that she originally had $26, but when she was done shopping, she had $16.18. To get from $26 to $16.18, you have to subtract the cost. That gives you 26 - [ cost ] = 16.18

We know that she spent $3.50 on a notebook and  8 pens of an unknown cost. The unknown cost can be represented by x. To find the total cost, you must add the costs of what she bought together. That gives you 3.50 - 8x.

Plug the expression of the cost into the equation, and boom it's done.

26 - 3.50 - 8x = 16.18

To find the equation representing the money Amy spent on school supplies, we can use the given information and set up an equation. By solving the equation, we can find the cost of one pen and calculate the total amount of money Amy spent.

To represent the money Amy spent, we need to find the cost of 8 pens. Let the cost of one pen be x. The notebook cost $3.50, so the total money spent on the notebook and pens can be represented as:

$3.50 + 8x

According to the problem, Amy had $16.18 left after buying the notebook and pens. So we can set up the equation:

$26 - ($3.50 + 8x) = $16.18

Simplifying the equation, we have:

$26 - $3.50 - 8x = $16.18

$22.50 - 8x = $16.18

Subtracting $22.50 from both sides, we obtain:

-8x = -$6.32

Multiplying both sides by -1, we get:

8x = $6.32

Dividing by 8 on both sides, we have:

x = $0.79

Therefore, the cost of one pen is $0.79.

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Answer:

  see below

Step-by-step explanation:

A parallelogram has ...

__

If the opposite angles are supplementary (add up to 180°), then they must both be 90°, and the parallelogram is a rectangle.

It is NOT always true that opposite angles add up to 180°.

Answer:

40

Step-by-step explanation:

The area of the base is 4 * 4 (because it's a square) = 16

The area of one side is 4 * 3 * 1/2 = 6, but there are 4 sides, so the combined area of the sides is 6 * 4 = 24

16 + 24 = 40

Answer:

40

Step-by-step explanation:

Find the area of one of the triangle faces time that by 4(there is four triangle faces) and then add that by the area of the square face(16). 4*4=16

Area of triangle face: 6*4=24(triangle faces)+16(Square face)=40

The required value of x would be 8 to make LK Il OM for the shown triangle.

The angle bisector theorem is a geometric theorem that relates the lengths of the sides of a triangle to the lengths of the segments that bisect the opposite angles.

The line segment splits one side of a triangle into segments of length NO and NM, then the other two sides of the triangle are split into segments of length NK/KM and NL/LO respectively.

So, NK/KM = NL/LO

(x+2)/(x-3) = x/(x-4)

x² - 2x - 8 = x²- 3x

3x - 2x = 8

x = 8

Thus, the required value of x would be 8.

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The missing figure has been attached below as:

Answer:

1 3/4

Step-by-step explanation:

1 3/4 is 3/4 more than one.

Answer:

1 3/4

Step-by-step explanation:

When you add fractions to whole numbers, it is bigger than the whole number. For example 1 + 3/4 = 1 3/4, so this is bigger than one.

hope this helps :)