Find the value of x, y and z in the rhombus below

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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The simplest ratio of squares to total shapes is 4 : 9.

The question wants the ratio to the total number of shapes so first find the total number of shapes:

= Circles + squares

= 15 + 12

= 27 shapes

There are 12 squares and 27 shapes. The ratio is therefore:

= 12 : 27

Use the lowest common factor of both numbers to find the simplest ratio. That factor is 3:

= \(\frac{12}{3} : \frac{27}{3}\)

= 4 : 9

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Answer:

284

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

-6[8(-5)-4]=

-6[-40-4]=

-6[-44]=

264

Answer:

\(y+3=\frac{1}{2}(x-4)\)

Step-by-step explanation:

The equation of the line with slope \(m\) passing through \((x_1, y_1)\) is \(y-y_1=m(x-x_1)\).

To find the height of the building, we need to use trigonometry. Let's call the height of the building "h" and the distance from point a to the building "x". From point a, the angle of elevation to the top of the building is given. Let's call this angle "θ".

Using trigonometry, we can write:

tan(θ) = h/x

We can rearrange this equation to solve for h:

h = x * tan(θ)

Now let's move to point b. We know that it is ft closer to the building than point a, so the distance from point b to the building is (x - ft). We also know the angle of elevation from point b, which we'll call "α".

Using the same equation as before, but with the new values, we get:

h = (x - ft) * tan(α)

Now we can set these two expressions for h equal to each other:

x * tan(θ) = (x - ft) * tan(α)

We can solve this equation for h:

h = x(tan(θ) - tan(α)) / (1 - tan(θ)tan(α))

This gives us the height of the building. We just need to plug in the values we were given for x, ft, θ, and α.

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Answer:

(-3,12)

Step-by-step explanation:

Answer:

О  B. Standard deviation.

Step-by-step explanation:

Standard deviation measures the dispersion of a data distribution (variability in scores).

...

Answer:

1832 miles

Step-by-step explanation:

First we need to find the angle between the routes of the planes.

If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:

30 + angle + 45 = 180

angle = 105°

Then, we need to find the distance travelled by each plane, using the formula:

distance = speed * time

The time is 1.5 hours, so we have that:

distance1 = 800 * 1.5 = 1200 km

distance2 = 750 * 1.5 = 1125 km

Now, to find the distance between the planes, we can use the law of cosines:

distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)

distance^2 = 3356214.43

distance = 1832 miles

The evaluated expression in scientific notation is 1.33 x 10⁰.

To evaluate the expression 7.87 x 10⁻¹ + 0.543 in scientific notation, we need to perform the addition first and then convert the result into scientific notation.

Adding 7.87 x 10⁻¹ and 0.543:

7.87 x 10⁻¹ + 0.543 = 0.787 + 0.543

= 1.33

Now, let's express 1.33 in scientific notation.

In scientific notation, a number is written as a decimal between 1 and 10, multiplied by a power of 10.

To represent 1.33 in this format, we need to determine the appropriate exponent of 10.

Since 1.33 is greater than 1 and less than 10, we can write it as:

1.33 = 1.33 x 10⁰

The exponent of 10 represents the number of places the decimal point must be moved to obtain the original value.

The exponent is 0, the decimal point remains in its original position.

Thus, 1.33 x 10⁰ is equivalent to 1.33.

The expression 7.87 x 10⁻¹+ 0.543, when evaluated and expressed in scientific notation, is equal to 1.33 x 10⁰ or simply 1.33.

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Answer: -12 x 4

Step-by-step explanation:

12 times 4 is 48

Rule: A negative multiplied by a positive, will always give you a negative.

So, -12 is a negative number and 4 is a positive number.

Negative x Positive = Negative

Positive x Negative = Negative

-12 x 4 = -48

Answer:

2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = 4 ( subtract x from both sides )

y = 4 - x → (1)

xy = - 48 → (2)

substitute y = 4 - x into (2)

x(4 - x) = - 48

4x - x² = - 48 ( multiply through by - 1 )

x² - 4x = 48

solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2) x + (- 2)² = 48 + (- 2)²

(x - 2)² = 48 + 4 = 52 ( take square root of both sides )

x - 2 = ± \(\sqrt{52}\) ( add 2 to both sides )

x = 2 ± \(\sqrt{52}\)

substitute this value into (1)

y = 4 - (2 ± \(\sqrt{52}\) ) = 4 - 2 ± \(\sqrt{52}\) = 2 ± \(\sqrt{52}\)

then the 2 numbers are

2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)

Answer:

x < -28

Step-by-step explanation:

5x < -28

x < -28/5

Answer:

48

Step-by-step explanation:

You were right. Just multiply it!

Statistical significance refers to the likelihood that the association between two variables is not due to chance alone. In other words, it is a measure of the probability that the observed relationship between two variables is real and not just a result of random variation or sampling error.

When analyzing data, researchers often use statistical tests to determine whether there is a significant association between two variables. A p-value is calculated, which represents the probability that the observed relationship between the variables is due to chance. If the p-value is less than a predetermined threshold (usually 0.05), the results are considered statistically significant, and the researchers can conclude that there is a real association between the variables. It's important to note that statistical significance does not necessarily imply practical significance. Just because a relationship is statistically significant does not mean that it is important or meaningful in real-world terms. Additionally, statistical significance only tells us about the strength of the relationship between two variables, not about causation or directionality. Therefore, it is always important to interpret statistical significance in the broader context of the research question and study design.

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The measure of angle J, m∠J = 41.2°.

angle mwasurement:

We can use trigonometry to find the measure of ∠J. Since we know the lengths of the two sides adjacent to ∠J (GH and GJ), we can use the tangent function, which is defined as the opposite side divided by the adjacent side:

tan(J) = opposite/adjacent = GH/GJ

We can solve for J by taking the inverse tangent (or arctan) of both sides:

J = \(tan^{-1}\)(GH/GJ)

Substituting the given values, we get:

J = \(tan^{-1}\)(14/16)

Using a calculator, we find:

J ≈ 41.186

Rounded to the nearest tenth, the measure of angle J is 41.2°.

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The function that describes the population of Martin is\(P(t) = 12,420 \times (1 + 0.016)^t\)

The predicted population of Martin in 2015 is 14557

The predicted  population of Martin in 2002 is 10,658

The function that describes the population of Martin as a function of the number of years t, since 2005, can be written as:

\(P(t) = 12,420 \times (1 + 0.016)^t\)

where P(t) is the population of Martin t years since 2005.

To predict the population of Martin in 2015, we need to substitute t = 10 into the equation:

P(10) = 12,420 × (1 + 0.016)¹⁰

= 14556.5

Therefore, the predicted population of Martin in 2015 is approximately 14556.5 people.

To predict the population of Martin in 2002, we need to find the number of years between 2005 and 2002, which is 3 years.

We can substitute t = -3 into the equation:

P(-3) = 12,420 × (1 + 0.016)⁻³)

= 10,658

Therefore, the predicted population of Martin in 2002 is approximately 10,658 people.

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Answer:  43.75 of 225 will be the price. so 98.4375 after being rounded it is 98.4

Step-by-step explanation:

Answer:

-2/8 or 1/4

Step-by-step explanation:

5/8-7/8, u sbtract the numerator then divide

subtract the numetrator=5-7=-2

divide= -2/8=-1/4

Answer:

4 (6 - 2)

1 + 3 (4)

4 (4)

Step-by-step explanation:

x = 4

16 / 4 = 4

The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.

The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12

= 22 feet

Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:

5 + 2 + 2 = 96 + 2 + 2

= 8

So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:

2(9) + 2(8) = 18 + 16

= 34 feet.

The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.

34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.

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Answer:

A solution is a the thing you get when you do a math question

Step-by-step explanation:

Answer:

In math, it is the answer to a problem or question

In chemistry, a solution is a homogeneous mixture of two or more substances.

The solution to the system of equations in this problem is given as follows:

The system of equations for this problem is defined as follows:

From the first equation, we have that:

ab^6 = 42

a = 42/(b^6)

a = 42b^(-6).

Replacing on the second equation, we have that the value of b is obtained as follows:

15 = 42b^(-6) x b^9

15 = 42b³

b = (15/42)^(1/3)

b = 0.71.

Then the value of a is obtained as follows:

a = 42 x (0.71)^(-6)

a = 327.9.

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Answer:

A) x = 2

y = -28

B) x = 30

y = -4

C) x = -15

y = 11

D) x = 2

y = 46

Step-by-step explanation:

Hope this helps :D I'm in class so I can't explain rn I hope you understand the concept.

have a nice day

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

5/4

Step-by-step explanation:

Yeeeeeeeeeeeeeeeeeeeeeeee

Answer:

5/4

Step-by-step explanation:

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

Answer:

Step-by-step explanation:

(-3, -23)

(0,8)

(3,7)

(6,22)

Answer:

51 m^2

Step-by-step explanation:

Area = 11(3) + 6(3) = 51 m^2

Answer:

51 m^2

Step-by-step explanation:

Divide the shape into 2 shapes that are easily identified

Calculate each area and add them up.

You have two different dimensions:

6x3

And

11x3

You’d get 51 if you add them all up.

Answer:Store A

Step-by-step explanation:

Given

Store A sells 3 cells phones that cost $165 each and offer 4 th one free

i.e. Effective cost of each cell phone is  \(\frac{165\times 3}{4}=\$ 123.75\)

Store B sells each cell phone at \(\$ 135\) each

clearly, store A provides a better deal than B because the cost of 4 cell phones is less for Store A i.e.

\(\Rightarrow 165\times3 <135\times4\\\Rightarrow \$495<\$540\)