It would help me a lot if someone answered this :) Thanks in advance!



A survey was conducted among 400 students of age
groups 7-12 years and 13-18 years to find their
favorite music genre. The students had to select any
one genre out of jazz, rock, and pop. Out of the 200
students in the age group 7-12 years who participated
in the survey, 142 liked rock or pop music. The total
number of students of both age groups who liked jazz
was 72.
Using a two-way table, compute the total number of
students in the age group 13-18 years who liked rock
or pop music.

Answer:

The line is:

There is no context but from what is given w can state that:

slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Step-by-step explanation:

Given that:

Slope = - 63

y intercept = 825

x = number of days

y = number of canned goods

From the general form of a linear model :

y = mx + c

m = slope / gradient ; c = intercept

Hence,

y = - 63x + 825

A slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Answer:

2.1

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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It should be noted that the correct matching of the expressions illustrated will be:

a. (2^3)(2^2) = 32

b. 2^(-2) x 2^(-3) = 1/32

C. (2^3) x (2^-3) = 1

d. (2^2)^3 = 64

e. 2^2/2^3 = 1/2

f. 2^3/2^2 = 2

It should be noted that (2^3)(2^2) will be:

= 2³ × 2²

= 8 × 4

= 32

b. 2^(-2) x 2^(-3) will be illustrated as:

= 1/4 × 1/8

= 1/32

C. (2^3) x (2^-3)

= 8 × 1/8

= 1

d. (2^2)^3

= 4³

= 64

e. 2^2/2^3

= 4 / 8

= 1/2

f. 2^3/2^2

= 2³ / 2²

= 8 / 4

= 2

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Given that

The cost of 1 m ribbon = Rs.75

The cost of 7/5 m ribbon

→ (7/5)×75

→ (7×75)/5

→7×15

→₹ 105

The cost of 7/5 m ribbon is ₹105.

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer: One root

Reason:

The term "root" refers to the x intercept.

We plug in y = 0 and solve for x to get the x intercept

y = 2x-12

0 = 2x-12

2x = 12

x = 12/2

x = 6

The root is 6.

The single x intercept is located at (6,0).

Answer:

y = -7

Step-by-step explanation:

Slope: 0

y-intercept: (0,−7)

Since the line doesn't change up, down, right, or left, and it stays on the y-axis, that's how u get y = . The straight line runs along -7 . That's how u get -7 . so when u put it all together u get: y = -7 .

Hope that helps. Tried to explain the best I could :)

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

x = -8

Step-by-step explanation:

As we can see, for both values of y (7 and -2), the values of x are -8.

So, the equation of this line is x = -8.

Answer:

im not sure but i think is 1

4

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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Answer:

b*b^5

Step-by-step explanation:

The volume of the image is given as follows:

10626 ft³.

The volume of a prism is calculated as the multiplication of the base area of the prism by the height of the prism.

The bottom of the prism in this problem square base of side length 23 ft, along with height of 18 ft, hence:

Bottom volume = 18 x 18 x 23

Bottom volume = 7452 ft³.

The top of the prism also has square base of side length 23 ft, along with triangular height of 12 ft, hence:

Top volume = 0.5 x 12 x 23 x 23 (multiplies by 0.5 as the top is a triangle).

Top volume = 3174 ft³.

Hence the total volume of the prism is given as follows:

7452 + 3174 = 10626 ft³.

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Since the given is a polynomial with a degree of 2, there are no restrictions to its domain. The domain therefore is

The given function is in the vertex form

By inspection, we determine that the vertex of the function is at (-8,-4), and since a = -2, then the parabola opens up downwards. This implied that its output peaks at y = -4, and the graph continues towards negative infinity.

We can conclude therefore that the range is

Answer:

6^2= 36

Step-by-step explanation:

Answer:

because that is what sqrt are

Step-by-step explanation:

A square root of a number is a value that, when multiplied by itself, gives the number. Example: 6 × 6 = 36, so a square root of 36 is 6 ... The symbol is √ which always means the positive square root.

im not sure ask a professional

Answer:

63,127

Step-by-step explanation:

the interval between each number is multiplied by 2

such as between 1 and 3 we have 2 so 2×2=4

the 4+3=7 and so on

Answer: 63, 127

Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127

Or, if we call the first value  a1 , the sequence is given by  an=2n−1

The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.

Answer:

f[((5)] = g(5) = root of 5+7= root of 12

then f[( g(5)] = (root of 12 _ 3 )^2 = 12-9 =3

Answer:

333234

Step-by-step explanation:

333234$ for the next 4 years and the ecvation is 69$+-2$

Answer:

4

Step-by-step explanation:

The following equations shows an accurate step in the process is \(x=3(\sqrt{2}-2), x=-3(2+\sqrt{2})$$\).

What is quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. There are alternatives to utilizing the quadratic formula to solve quadratic equations, including factoring, completing the square, graphing, and others.

\($$x^2+12 x+18=0$$\)

Solve with the quadratic formula

\(x_{1,2}=\frac{-12 \pm \sqrt{12^2-4 \cdot 1 \cdot 18}}{2 \cdot 1}$$\)

\($$\begin{aligned}& \sqrt{12^2-4 \cdot 1 \cdot 18}=6 \sqrt{2} \\& x_{1,2}=\frac{-12 \pm 6 \sqrt{2}}{2 \cdot 1}\end{aligned}$$\)

Separate the solutions

\($$x_1=\frac{-12+6 \sqrt{2}}{2 \cdot 1}, x_2=\frac{-12-6 \sqrt{2}}{2 \cdot 1}$$\)

\(x=\frac{-12+6 \sqrt{2}}{2 \cdot 1}: \quad 3(\sqrt{2}-2)$$\)

\(x=\frac{-12-6 \sqrt{2}}{2 \cdot 1}: \quad-3(2+\sqrt{2})$$\)

The solutions to the quadratic equation are:

\(x=3(\sqrt{2}-2), x=-3(2+\sqrt{2})$$\)

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The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

According  to the question found the sum,

First number: 44,

Second number: 220,

Third number: 245 .

A number is an arithmetic value used for representing the quantity and used in making calculations. A written symbol like “3” which represents a number is known as numerals. A number system is a writing system for denoting numbers using digits or symbols in a logical manner.

First number: 44

Second number: 220

Third number: 245

The first number, x, is 44 since 5x = 220 and x + 220 + 245 = 289. The second number is 5 times the first number, which is 220. The third number is 100 more than the first number, which is 245.

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Answer:

42

Step-by-step explanation:

First subtract 10 by 2

18+3(8)

Now multiply 3 and 8

18+24

now add 18 and 24

18+24=42

Hope this helps! : )

Answer:

D.

Step-by-step explanation:

A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'

When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.

For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.

Another example of an irrational number is √2.

Thus the correct statement that defines irrational number is option D.

Answer:

D. a number with a nonrepeating and nonterminating decimal expansion​

Step-by-step explanation:

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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The profit made as a function of x ;

Let :

Number of units produced = x

Profit per unit = $3

Fixed cost = $17,000

Total profit made : Revenue - Cost of production

Profit, P(x) = (profit per unit × number of units) - Fixed cost

Profit, P(x) = 3x - 17,000

B.)

When x = 20,000

P(20000) = 3(20000) - 17,000

Profit = 60000 - 17,000

Profit = 43,000

When x = 5000

P(5000) = 3(5000) - 17,000

Profit = 15000 - 17,000

Profit = - 2000

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The total profit as a function of x is P(x) = 3x - 17,000

(A) The profit is $43,000

(B) The loss is $2,000

The given parameters;

The following equations will be set up as follows;

Total cost price = 17,000 + x(y)

Total selling price = x(y + 3)

The total profit as a function of x is calculated as;

total Profit = total selling price - total cost price

total Profit = x(y+3) - 17,000 - xy

total Profit = xy + 3x - 17,000 - xy

total Profit = 3x - 17,000

P(x) = 3x - 17,000

(A) The profit or loss when x = 20,000 units are produced;

P(20,000) = 3(20,000) - 17,000

P(20,000) = 60,000 - 17,000

P(20,000) = $43,000

The profit is $43,000

(B) The profit or loss when x = 5,000 units are produced;

P(5,000) = 3(5,000) - 17,000

P(5,000) = 15,000 - 17,000

P(5,000) = - $2,000

The loss is $2,000

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Answer:

One possible equation that represents the data in the table is: y = 4x^2.