25% of the tickets sold at an amusement park were discount tickets. If the park sold 40
tickets in all, how many discount tickets did it sell?

Answer:

so like A

he already has 35 employees which is (+35)

he gets 4 employees every month so (4x)

One giga-meter can be written as \(10^9\) meters.

Affixes, οr mοrphemes added tο a base wοrd tο mοdify its meaning, include prefixes and suffixes amοng their types. Adding suffixes tο the end οf a wοrd is mοre cοmmοn than adding prefixes tο the beginning.

Althοugh sοme, like heter- and megal-, are three syllables lοng, the majοrity οf prefixes and suffixes in English are typically οne οr twο.

Nο matter what base wοrd a prefix is attached tο, its meaning is always the same. Fοr instance, the prefix are- always denοtes "tο dο sοmething again"; when it appears in the wοrd reread, it means "tο read again," and when it appears in the wοrd rebuild, it denοtes "tο build again."

The prefix giga represents 1,000,000,000, which can be written as \(10^9\) in terms οf pοwers οf ten.

Therefοre, οne giga-meter can be written as 10^9 meters.

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Answer:

x = 2

Step-by-step explanation:

24 - 7x = 10

Rearrange terms,

-7x + 24 = 10

Subtract 24 from both sides,

-7x + 24 - 24 = 10 - 24

-7x = 10 - 24

-7x = -14

Divide by sides by -7,

\(\frac{-7x}{-7}=\frac{-14}{-7}\)

\(x=\frac{-14}{-7}\)

x = 2

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

  a.  Explicit: f(x) = 2x² +3. Recursive: f(-3) = 21; f(x) = f(x -1) +4x -2

  b.  Explicit: g(x) = 3x² -2x. Recursive: g(5) = 65; g(x) = g(x -1) +6x -5

Step-by-step explanation:

Given two tables of values, you want to find the explicit and recursive formulas for those values.

When the x-values are consecutive integers, as they are in these tables, it is usually useful to look at the first difference of the y-values. If those are constant, the table represents a linear function.

When the first differences are not constant, the exercise can be repeated. If the second differences are constant (as here), then the explicit formula will be a second-degree polynomial. The coefficients of the polynomial can be found different ways. We will describe one way here.

The constant second differences are double the leading coefficient of the quadratic that describes the relation between x and y. Knowing this, we can see how well the 2nd degree term by itself represents the relation. To that end, we have added to the table columns for the difference between the y-value and the 2nd degree term (y1 -ax^2), and the difference of those differences (diff).

The attachment shows the first second difference of the values of Table A is 4. That means our first approximation of the sequence will be (4/2)x². The next column shows us this is always 3 less than the value of y, so our explicit formula can be ...

  f(x) = 2x² +3

The attachment shows the first second difference of the values of Table B is 6. That means our first approximation of the sequence will be (6/2)x². Subtracting this from the value of y, we find an arithmetic sequence that has a common difference of -2, and a value of -10 when x=5.

The explicit formula for an arithmetic sequence with a first term a1 and a common difference d is ...

  an = a1 +d(n -1) . . . . . . where 1 is the x-value of the first term

Our sequence of differences doesn't start with x=1, but with x=5. This means our explicit formula will be ...

  g(x) = 3x² +(-10 +(-2)(x -5))

 g(x) = 3x² -2x

A recursive formula is one that expresses a given term as a function of previous terms of the sequence. When the sequence is 2nd degree, as here, we know the difference from one term to the next is an arithmetic sequence. Thus we can write the formula for a term as the sum of the previous term and a value that depends on the term number.

The explicit formula for the arithmetic sequence of differences has the form shown above. For the purpose here, the difference from the previous term is shown on the line above the x-value.

The applicable sequence of first differences has first term -10 and common difference 4. The first of the differences of consequence corresponds to x=-2, so can be written ...

  d(x) = -10 +4(x -(-2)) = 4x -2

Then the recursion relation is

  f(x) = f(x -1) +d(x) = f(x -1) +4x -2

And the recursive formula is ...

  f(-3) = 21; f(x) = f(x -1) +4x -2

The applicable sequence of first differences has first term 31 and common difference 6. The first of the differences of consequence corresponds to x=6, so can be written ...

  d(x) = 31 +6(x -6) = 6x -5

Then the recursive formula is ...

  g(5) = 65; g(x) = g(x -1) +6x -5

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

Answer:

(a) By converting to decimal:

2:3=23=0.6¯

4:5=45=0.8

As 0.6¯<0.8,2.:3<4:5.

(b) By converting to fractions:

Ratios can be compared by converting them to like fractions.

2:3=23=2(5)3(5)=1015

4:5=45=4(3)5(3)=1215

As 1015<1215,2:3<4:5.

Answer:

Probability of the batch being sent back for refill is 0.0897

Step-by-step explanation:

The probability of the batch being sent back for refill is equal to the probability of selecting two or more under filled jars out of the six jars selected.

First, we can find the probability of selecting one under filled jar out of the six jars selected:

P(selecting one under filled jar) = (5/15) * (10/14) * (9/13) * (8/12) * (7/11) * (6/10) = 0.0768

Then, we can find the probability of selecting two under filled jars out of the six jars selected:

P(selecting two under filled jars) = (5/15) * (4/14) * (10/13) * (9/12) * (8/11) * (7/10) = 0.0129

Finally, we can add these probabilities together to find the probability of selecting two or more under filled jars:

P(selecting two or more under filled jars) = P(selecting one under filled jar) + P(selecting two under filled jars)

P(selecting two or more under filled jars) = 0.0768 + 0.0129 = 0.0897

Therefore, the probability of the batch being sent back for refill is 0.0897 or approximately 8.97%.

The statements that are true based on the diagram are;

B) The line containing points A and B lies entirely in plane T.

D) Line z intersects plane S at point C.

E) Planes R and T intersect at line y.

Option A; Plane S contains points B and E;

Plane S contains only point B. Point E lies on plane R.

Thus, this option is false

Option B: The line containing points A and B lies entirely in plane T;

The line containing points A and B lies entirely in plane T and it is obvious that lies on plane T. Thus, the option is true.

Option C: Line v intersects lines x and y at the same point;

The line v intersects lines x and y, but line x in intersected at point B while line y is intersected at point A, and they are two different points, not the same. Thus, the statement is False

Option D: Line z intersects plane S at point C;

The line z intersects plane S at point C. Thus, this option is correct.

Option E:  Planes R and T intersect at line y;

Planes R and T intersect at line y. Thus, this option is correct.

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The value of Z in the similar triangles is 6

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the corresponding sides of similar triangles, we have

z/12 = (14 - z)/16

Cross multiply the equation

This gives

16z = 168 - 14z

So, we have

30z = 168

Divide

z = 5.6

Approximate

z = 6

Hence, the value of Z is 6

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Answer:

10%

Step-by-step explanation:

Answer:

3x+24 more widgets

Step-by-step explanation:

A company owns two manufacturing plants:

1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.

To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,

(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24

hope this helps!

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

The remaining is 75%, the length of the stick would be 1.2

Step-by-step explanation:

According to the information given,

We know that Brian cut off 25% of a stick which was 1.6 meters long

and 1.6 is the 100% of the stick:

It is fairly easy to calculate this, subtract 25 from 100 ( 100 - 25 ), which is equal to 75.

Hence, the answer is 75% and 1.2 for the remaining length of the stick

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

6/x^2

Step-by-step explanation:

6x^-2

6*x^-2

6*(1/x^2)

6/x^2

The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer: i cant see the pic i would help but i cant see picture

Step-by-step explanation:

52 square inch is the surface area of the given card box.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given a card box of size 8 by 10 inches. the surface area of the card box can be calculated by dividing the card box into three parts, such that:

one piece with a dimension of 4 by 10 and another piece with a dimension of 2 by 3 inches.

Area of card of 4 by 10-inch dimension = 4*10 = 40

Area of card of 2 by 3 dimension = 2 *3 = 6

Thus,

The total area of the card box = Area of bigger card +2*area of smaller card

The total area of the card box = 40 + 2*6 = 52 inches square

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Answer:

140°

Step-by-step explanation:

Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:

360 = 120 + 60 + 40 + ∠PTQ

360 = 220 + ∠PTQ

-220   -220

140 = ∠PTQ

∠PTQ = 140°

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Answer:

z=14

Step-by-step explanation:

-8=2(z-18)

  -8=2z-36

+36     +36

28=2z

28/2=14

z=14

Answer:

z=14. 2(14-18)=2(-4)=-8=-8

P.s.

please give me brainliest for my next rank

Answer:

2 pumpkins

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

I think yes is the correct answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Answer:

Yes

Step-by-step explanation:

Because they are different

Answer:

-9/10

Step-by-step explanation:

Yw, me!

Answer:

I think it is 0.002

Answer:

uhh 0.0002?

Step-by-step explanation:

Answer:

x/2 - 5 = 18

Step-by-step explanation: