Marcos invited 33 guests to his party. So far, 8 guests have replied "will attend" and 9 guests have replied "will not attend". How many guests (g) still need to reply?

Answer:

Dimensions of the product matrix = (3 × 3)

Step-by-step explanation:

If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,

Dimensions of the product matrix PQ will have the dimensions as (m × r).

That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.

Following this rule,

Dimensions of matrix A = (2 × 3)

[ Rows × Columns]

Dimensions of matrix B = (3 × 3)  [Rows of B = 3, columns of B = 3]

Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]

Since columns of C and rows of A are equal.

Therefore, product of C and A is defined.

Product of the matrices C & A will have the dimensions as (3 × 3).

I'm not in highschool but I did the math I think it's 18

Answer:

The Answer is D

Step-by-step explanation:

437-18.5=419.5

Answer:

last one

Step-by-step explanation:

Answer:

m= 9/8

Step-by-step explanation:

(5, 2) and (-3, -7)

Slope:

m=(y2-y1)/(x2-x1)

m=(-7-2)/(-3-5)

m=(-9)/(-8)

m=9/8

the equation of the median-median line for the given dataset is y = (17/60)x - 9.65. However, none of the given answer choices match this equation.

To find the equation of the median-median line for the given dataset, we need to first compute the medians of both x and y variables.

The median of x can be found by arranging the x values in ascending order and selecting the middle value. In this case, the median of x is (40 + 36) / 2 = 38.

The median of y can be found similarly. In this case, the median of y is (24 + 41) / 2 = 32.5.

Next, we need to find the slope of the median-median line, which is given by the difference in the medians of y divided by the difference in the medians of x.

slope = (median of y2 - median of y1) / (median of x2 - median of x1)

slope = (41 - 24) / (75 - 15)

slope = 17 / 60

Finally, we can use the point-slope form of a line to find the equation of the median-median line, using one of the median points (38, 32.5).

y - y1 = m(x - x1)

y - 32.5 = (17 / 60)(x - 38)

y = (17/60)x - 9.65

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Answer:

The function is

\(f(x)=0.5x^3-3x^2+5.5x-2\)

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

\(f(x)=0.5\cdot g(x-2)+1\)

We start by calculating g(x-2):

\(g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6\)

Then, we can calculate f(x) as:

\(f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2\)

The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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According to the rules of significant figures:



1.25 × 200 = 300

the answer is

TRue

The percentage of Venus's year to mercury's year is 39.1%

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction - three for the price of one! To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.

Venus year is 88 earth days and mercury is 225 earth days.

To find the percentage of venus's year to mercury's we divide the Venus's year by mercury and multiply by 100

Then , 88/225 ×100 = 39.1 %

Therefore Venus length of year is 39% of mercury's year.

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Answer:

4(9 + 4)

Step-by-step explanation:

36 + 16 ← factor out HCF of 4 from each term

= (4 × 9) + (4 × 4)

= 4(9 + 4)

another way to write 36 + 16 is 4(9) + 4(4).

To rewrite the expression 36 + 16 using the distributive property, we need to find a common factor that can be factored out. In this case, both 36 and 16 are divisible by 4. So, we can rewrite the expression as:

36 + 16 = 4(9) + 4(4)

Using the distributive property, we can further simplify this expression:

4(9) + 4(4) = 4 * 9 + 4 * 4

Now, we can calculate the values:

4 * 9 = 36

4 * 4 = 16

Therefore, another way to write 36 + 16 is 4(9) + 4(4).

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Answer:

57.5

Step-by-step explanation:

(180-65)/2

Answer:

a = cd + b / b

Explanation:

ba − cd = b

[ Step 1: Add cd to both sides ]

ab − cd + cd = b + cd

ab = cd + b

[ Step 2: Divide both sides by b ]

ab / b = cd + b / b

a = cd + b / b

Option- 3 is correct that is both a and b are true.

a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)

b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)

Given that,

a. We have to prove the statement is true or false.

Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)

Now, Take the right hand side

= \(1 - \frac{sinx}{cscx+cotx}\)

= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)

By using LCM

= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)

= \(1 - \frac{sinx\times sinx}{1+cosx} }\)

= \(1 - \frac{sin^2x}{1+cosx} }\)

= \(\frac{1+cosx - sin^2x}{1+cosx} }\)

We know from trigonometric identities 1 - sin²x = cos²x

= \(\frac{cos^2x+cosx }{1+cosx} }\)

= \(\frac{cosx(1+cosx )}{1+cosx} }\)

= cosx

LHS = RHS

Therefore, The statement is true

b. We have to prove the statement is true or false.

Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)

Now, Take the right hand side

= \(1 - \frac{cosx}{secx+tanx}\)

= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)

By using LCM

= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)

= \(1 - \frac{cosx\times cosx}{1+sinx} }\)

= \(1 - \frac{cos^2x}{1+sinx} }\)

= \(\frac{1+sinx - cos^2x}{1+sinx} }\)

We know from trigonometric identities 1 - cos²x = sin²x

= \(\frac{sin^2x+sinx }{1+sinx} }\)

= \(\frac{cosx(1+sinx )}{1+sinx} }\)

= sinx

LHS = RHS

Therefore, The statement is true

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Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

The piecewise functions that are represented by the graph are; g(x) = −2, x < −2; g(x) = −2x + 6, x ≥ 1; g(x) = x/2 + 1, –2 ≤ x < 1

From the attached graph of the piecewise function, we can access each option as follows;

A) g(x) = −2x, −2 < x < 0

This is not represented by the graph because g(x) = −2x has negative slope which means it goes downward. There's also no y-intercept in g(x) = −2x.

B)  g(x) = −2, x < −2;

This is represented by the graph because g(x) = −2 is a horizontal line which is only on the left side of x = -2.

C) g(x) = x − 2, −2 < x < 1;

This is not represented by the graph because g(x) = x − 2 has y-intercept at y = -2 and slope of 1 which means that graph of g(x)= x - 2 must be going upward and crossing at y = -2.

D) g(x) = −2x + 6, x ≥ 1

This is represented by the graph because g(x) = −2x+6 satisfies the graph which is going downward.

E) g(x) = x/2 + 1, –2 ≤ x < 1

This is represented by the graph because g(x) = (x/2) + 1 satisfies the graph which is going downward.

The options are;

g(x) = −2x, −2 < x < 0

g(x) = −2, x < −2

g(x) = x − 2, −2 < x < 1

g(x) = −2x + 6, x ≥ 1

g(x) = x/2+ 1, –2 ≤ x < 1

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The process of finding the value of a numerical or algebraic expression is called evaluation.

Evaluation involves substituting the given values of the variables in the expression and then simplifying the expression using the order of operations (PEMDAS).

For example, if we are asked to evaluate the expression 3x + 2y when x=4 and y=5, we would substitute these values to get 3(4) + 2(5), which simplifies to 12 + 10 = 22. Therefore, the value of the expression 3x + 2y when x=4 and y=5 is 22.

In algebra, evaluation is an important process because it allows us to find the value of an expression for specific values of the variables, which can help us to solve equations or inequalities, and to simplify expressions.

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Answer: g(f(10)) = g(√2x+5) = 6x-3

We need to substitute x = √2*10 + 5 into g(x) = 6x - 3

g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27

So g(f(10)) = 6√20 + 27.

Answer:

Step-by-step explanation:

1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

d represents common difference in the amount between 2 consecutive weeks.

a = 220 represents the first term of the sequence.

Tn = w = the amount at the end of n weeks

n = m represents the number of weeks

2) The equation used to represent the amount of money Shelly has in her account each week is

w = 220 + (w - 1)d

Answer:

The two smaller angles equal 24 and together they equal 48

Step-by-step explanation:

The bisector tells us that the smaller angles equal each other

3x + 6 = 7x - 18  Subtract 3x from both sides

6 = 4x - 18  Add 18 to both sides

24 = 4x  Divide both sides by 4

6 = x

Now, plug 6 back into each equation.

3x + 6

3(6) + 6

18 + 6

24

7x - 18

7(6) - 18

42 - 18

24

Answer:

$1400

Step-by-step explanation:

x= profit of 6th month

(200+300+400+500+500+x)

-------------------------------------- = 550

6

(1900+x)=3300

x=3300-1900

x=1400

Answer:

(8+24)÷(12·4)

Step-by-step explanation:

(8+24)= 32

(12·4)= 48

32/48

Simplify

2/3

Answer:

x = 55

It is vertically opposite to 55

If someone wins 2 blue balls and loses 3 red balls every day for 5 days, and ends up with the same number of blue and red balls, then they must have started with 25 red balls.

Explanation:

Let x be the number of red balls the person started with. After 5 days, they would have won 2 × 5 = 10 blue balls and lost 3 × 5 = 15 red balls. So, the person would have a total of (x - 15) red balls and (10 + 2 × 5) = 20 blue balls. We know that the person ends up with the same number of blue and red balls, so we can set up the equation:

x - 15 = 20

Solving for x, we get:

x = 35

Therefore, the person started with 35 red balls. However, this does not satisfy the condition that the person ends up with the same number of blue and red balls, since 35 - 15 = 20 ≠ 20 blue balls. So, we made a mistake in our assumption that the person started with x red balls. Let's try again:

Let y be the number of red balls the person started with. After 5 days, they would have won 2 × 5 = 10 blue balls and lost 3 × 5 = 15 red balls. So, the person would have a total of (y - 15) red balls and 20 blue balls. We know that the person ends up with the same number of blue and red balls, so we can set up the equation:

y - 15 = 20

Solving for y, we get:

y = 35

Therefore, the person started with 35 red balls and ended up with 20 blue balls and 20 red balls, satisfying the given condition. So, the answer is that the person started with 25 red balls.

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Answer:

census

Step-by-step explanation:

Answer:i do not knwo sadStep-by-step explanation:

The project triangle shows the interdependent relationship between project cost, scope, and time. While changes to any one factor may impact the other two, it's important for project managers to understand the trade-offs and make informed decisions to ensure project success.

The project triangle, also known as the triple constraint or the iron triangle, is a framework that shows the interdependent relationship between project cost, scope, and time.

This framework is often used by project managers to understand the trade-offs that must be made when one or more of these factors change during the project lifecycle.
To draw the project triangle, you can start by drawing three connected lines, each representing one of the three factors: project cost, scope, and time.

Next, draw arrows connecting the lines in a triangle shape, with each arrow pointing from one factor to another.

For example, the arrow from project cost to scope represents how changes in project cost can affect the project's scope, and the arrow from scope to time represents how changes in project scope can affect the project's timeline.
The key point to remember is that changes to any one factor will affect the other two factors as well.

For example, if the project scope is increased, this may increase project costs and extend the project timeline.

Alternatively, if the project timeline is shortened, this may require increased project costs and a reduction in the project scope.

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Answer:

41 cm Hg

Step-by-step explanation:

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55