Make x the subject of the formula y ( x + w ) = c ( x + z )

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%

Step-by-step explanation:

Number of red tiles = 9

Number of blue files = 10

Number of green tiles = 6

Total number of tiles = 9 + 10 + 6 = 25

Probability of drawing red tile = 9/25 = 0.36 = 36%

Probability of drawing blue tile= 10/25 = 0.40 = 40%

Probability of drawing green tile = 6/25 = 0.24 = 24%

Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".

Answer:

charge your computer <3

Step-by-step explanation:

but put the dot on the 2 on the y-axis

Answer:

(0,2) and (-3,1)

Step-by-step explanation:

The height of the water increasing at the rate of   \(\frac{1}{12} \frac{m}{min}\) .

What is a function?

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be linked to the input.

We need a function to connect the two variables when there are associated rates; in this instance, it is unmistakably volume and height. The equation is:

\(V=\) \(\pi r^{2}h\)

Although radius is mentioned in the formula, it is not a variable in this issue because it is constant. We might change the value in

V=\(\pi(6m)^{2}h\)

We must implicitly differentiate wrt (with respect to) time because the rate in this problem is tied to time

\(\frac{dV}{dt} =(36m^{2} )\)  \(\pi\frac{dh}{dt}\)

In the problem, we are given  \(3\frac{m^{2} }{min}\)   which is  \(\frac{dV}{dt}\) .So we substitute this in:

\(\frac{dh}{dt} =\frac{3m^{3}}{min(36m^{2} )\pi }\)

\(=\frac{3}{36\pi} \frac{m}{min}\)

\(=\frac{1}{12} \frac{m}{min}\)

Hence, the height of the water increasing at the rate of  \(\frac{1}{12} \frac{m}{min}\) .

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The distance between the satellite and station A is determined as 857.4 miles.

The distance between the satellite and station A is calculated by applying sine rule as shown below;

The third angle of the triangle is calculated as follows;

∠C = 180 - (83 + 87)

∠C = 10⁰

So the complete side = angle 10⁰ and opposite side length = 150 miles

AC / sin B = AB / sin C

where;

AC / sin 83 = 150 / sin 10

AC = (sin 83 / sin 10) x 150 miles

AC = 857.4 miles

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Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the formulas 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" between them.

Here,

If two lines have the same slope, they are considered to be parallel.

This will allow us to determine the equation for the line that is perpendicular to the graphed line and goes through the points (4, 1): y = -2*x + 9.

Let's try to locate the line as follows:

Finding the graphed line's slope is the first step towards locating the line.

Keep in mind that a generic statement is anything like:

y = a*x + b

where a represents the slope and b the y-intercept

If the line does indeed travel through the points (x1, y1) and (x2, y2), then the slope of that line can be expressed as follows:

\(m=\frac{y_{2}- y_{1}}{x_{2} -x_{1} }\)

As seen below, the graphed line crosses (-3, 3) and (-2, 1). The slope will therefore be:

\(m=\frac{1- 3}{2 -(-3) }\)

Since the parallel line's slope is likewise 2, it will look somewhat like this:

y = -2*x + c

Using the knowledge that this line passes through, we may determine the value of c. (4, 1).

Thus, y = 1 must exist when x = 4.

When we swap these out in the line equation, we get:

-2*4 + c = 1

-8 + c = 1

1 + 8 = c = 9

Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

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Answer:

Step-by-step explanation:

2.4 cups

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

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Answer:

:)

Step-by-step explanation:

Just divide 1,004.7 by 59.1

Answer:

35/20 and 36/20

Step-by-step explanation:

Answer:

surface area y is equal to 7cm.

Answer:

The ratio would not remain same when 1 cat and 1 dog gets adopted.

Step-by-step explanation:

Given that:

There are 12 cats and 9 dogs at the animal shelter.

Ratio of cats to dogs = 12 : 9

Ratio of cats to dogs =  4 : 3

When 1 cat and 1 dog gets adopted,

Cats = 12 - 1 = 11

Dogs = 9 - 1 = 8

Ratio of cats to dogs = 11 : 8

Hence,

The ratio would not remain same when 1 cat and 1 dog gets adopted.

53 seconds

To round to the nearest seconds, we round the next number after the decimal point

Answer:

Girl

Step-by-step explanation:

For me... it sound more like a girl but it could also be a boy's name

D) A^2 = A + 1 this equation represents diagonal matrices with the same eigenvalues on the diagonal.

Let λ be an eigenvalue of the matrix A, and let v be the corresponding eigenvector. Since A is diagonalizable, we can write A = PDP^(-1), where D is the diagonal matrix containing the eigenvalues on the diagonal, and P is the matrix whose columns are the eigenvectors.

We know that A^2 = A + 1, so we can substitute A with its diagonalizable form:

(PDP^(-1))^2 = PDP^(-1) + 1.

Expanding the square and applying the matrix multiplication rules, we get:

PD^2P^(-1) = PDP^(-1) + 1.

Since D is a diagonal matrix, D^2 will have the eigenvalues squared on the diagonal. Therefore, we have:

P(D^2)P^(-1) = PDP^(-1) + 1.

Multiplying both sides by P^(-1) on the right, and by P on the left, we obtain:

D^2 = D + 1.

This equation holds because P^(-1)P = I (the identity matrix), and D and D^2 are diagonal matrices with the same eigenvalues on the diagonal.

Therefore, the correct answer is D) A^2 = A + 1.

Learn more about eigenvalues

Answer:

Solutions are;

x = -8

x = -3.2

Step-by-step explanation:

Here, we want to solve the given equation for x

|(x-4)/(x + 5)| = 4

From what we have, this is an absolute value equation and thus, we are going to have two solutions

These are;

x-4/x+ 5 = 4

x-4 = 4(x + 5)

x-4 = 4x + 20

x-4x = 20 + 4

-3x = 24

x = -24/3

x = -8

secondly;

x-4/x+5 = -4

x-4 = -4(x + 5)

x-4 = -4x - 20

x + 4x = -20 + 4

5x = -16

x = -16/5

x = -3.2

If you meant to write \(\log_{b}(y) = x\) then the statement is true.

As a more concrete example, something like \(\log_3(81) = 4\) would be read out as "log base 3 of 81 is equal to 4".

Answer:

8049.43

Step-by-step explanation:

1999.99 + 6049.44

Answer:

4.1 is 10 x 0.41

9.2 is 10x .92

Can I have brainliest?

Step-by-step explanation:

4.1 is ten times as much as 0.41

9.2 is ten times as much as 0.92

Answer:

The scale factor is not 2

Step-by-step explanation:

Given

See attachment for the dilated triangles

Triangle ABC is dilated through center point O to form triangle A'B'C'.

From the attachment, we have:

\(OC = 2\) i.e. the distance from the center point to C

and

\(OC' = 6\) i.e. the distance from the center point to C'

The length of OC' is calculated using:

\(OC' = OC + CC'\)

\(OC' = 2 + 4\)

\(OC' = 6\)

The scale factor (k) is then calculated by dividing OC' by OC

\(k = \frac{OC'}{OC}\)

\(k = \frac{6}{2}\)

\(k = 3\)

Hence, Tiffany's claim is incorrect.

The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.

avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.

a)

Hence average value of f(x) on 0≤x≤2

= 1/2 ∫f(x)  with 0 and 2 as intervals

Since integration is basically the area under the curve we get

avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]

Since from 0 to 1, the figure is a triangle and beyond that a straight line we get

1/2[1/2 X 1 X 1 + 0]

= 1/4 sq units

b)

Similarly, the average value of g(x) on 0 ≤ x ≤ 2

1/2[area from 0 to 1 + area from 1 to 2]

= 1/2[0 + 1/2]

= 1/4 sq units

c) here we need to find the average of f(x) . g(x)

Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1

Hence we see that on multiplying the functions, the resultant has to be a 0 function.

Hence its average value will be 0.

d)

Average(f) . Average(g) = 1/4 X 1/4

= 1/16

Average of (f.g) = 0

Hence the statement is false

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Complete Question

The figure attached to the left is a graph of f(x), and below to the right is g(x).

The figure below to the left is a graph of f(x), a

(a) What is the average value of f(x) on 0≤x≤2? avg value = __________

(b) What is the average value of g(x) on 0≤x≤2? avg value = __________

(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________

(d) Is the following statement true?

Average(f) . Average(g)=Average(f.g)

A. Yes

B. No

Answer:

(-2,3)

Step-by-step explanation:

Looks like the expression is

(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸

First, any positive number raised to 0 is 1:

(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸

(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸

Exponents in a denominator can be rewritten as negative exponents in the numerator:

(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸

Distribute the 4th power across the product 5⁻² • 2⁻³ :

(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²

so we have

(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸

Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:

2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸

2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸

2²⁴ • 5⁻¹³

Rewrite the negative exponent as a positive one:

2²⁴ / 5¹³

The function y= 4x -7 belong to the Linear function.

An equation is linear if it contains no powers of x besides x¹ = x and x⁰ = 1.

linear equation is called linear because it's graph form straight lines. we can describe any line by it's average rate of change, or slope, and it's y- intercept.

These aspects of a line is written in slope- intercept form, if equation of line is written in this form y = mx + b.

Here, in this given equation y= 4x -7.  This line has slope 4 and y intercept is point (0, -7).

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a. The Length of the fence around the field = perimeter of quarter circle is  892.7 ft.

b. The area of the outfield is 39,584 sq. ft..

Note that:

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Put in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Put in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

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Using the given information, the unit rate is 0.0645 miles/minute

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

That is,

Distance = 40/5 miles = 8 miles  

Time = 124 minutes

Using the formula,

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The unit rate is 0.0645 miles/minute

We have calculated the rate

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

Distance = 40/5 miles

Distance = 8 miles  

Time = 124 minutes

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The hiker is approximately 12.04 miles away from the starting point, in a direction of approximately 63.4° from the north.

To determine the hiker's distance and direction from the starting point, we can use vector addition.

First, let's break down the hiker's movements into components. Walking 8 miles northeast (45°) can be divided into two components: north and east.

Since northeast is a 45° angle, the north and east components will be equal.

Using basic trigonometry, we can calculate the components:

North component = 8 miles × cos(45°) ≈ 5.66 miles

East component = 8 miles × sin(45°) ≈ 5.66 miles

Next, the hiker walks 5 miles due east. This adds to the east component, so the new east component will be:

New east component = 5 miles + 5.66 miles = 10.66 miles

Now, we can find the resultant displacement by adding the north and east components:

Resultant north component = 5.66 miles

Resultant east component = 10.66 miles

To find the distance from the starting point, we can use the Pythagorean theorem:

Distance = √[(Resultant north component)² + (Resultant east component)²]

Distance = √[(5.66 miles)² + (10.66 miles)²]

Distance ≈ 12.04 miles

To determine the direction, we can use trigonometry again:

Direction = arctan(Resultant east component / Resultant north component)

Direction = arctan(10.66 miles / 5.66 miles)

Direction ≈ 63.4°

Therefore, the hiker is approximately 12.04 miles away from the starting point, in a direction of approximately 63.4° from the north.

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