y = 2x
If x=3, what is the value for y?

Answer: И что делать с этим?

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

The probability that one marble drawn at random is not blue is 70%

\(x7 - 2 \: or \: x \leqslant - 3\)

Answer:

15x-8

Step-by-step explanation:

9x-12+4x+4+10x

9x+4x+10x  -12+4

15x-8

Answer:

23x-8

Step-by-step explanation:

1. First add the numbers

2. then C.L.K Combine Like Terms

9x-8+4x+10x

23x-8

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

Answer:

Step-by-step explanation: A

Answer: b

Step-by-step explanation:

Firstly, let us look at the meaning of orthocenter of a triangle.

The orthocenter of a triangle is the intersection of the triangle's three altitudes.

An illustartion is shown below

The point H in the figure above is the orthocenter of the triangle above.

Now, for the question given,

The coordinates of the vertices of the triangle are

Q(-1,5) R(4,3) S(-1,-2)

Part A:

Tell whether the orthocenter is inside or outside:

Answer: The orthocenter is inside the triangle

To determine the coordinate of the orthocenter by graphing

Plot a perpendicular line from point R to meet QS

Then plot another perpendicular line from point S to meet QR

The point of intersection of the two lines is the orthocenter

The graph is shown below

The point of intersection of the two perpendicular lines is point (1,3).

Hence, the orthocenter of the triangle is (1, 3)

Answer:

Step-by-step explanation:

The value |x−9|≤9 is equivalent to [18,0] in interval notation.

According to the statement

We have given that the distance of 9 from the number 9. and we have to find the all value of x between it.

So, For find all x value we use absolute value inequalities.

distance of 9 from number 9.

So, when we draw the number line

we see that the number will become

The distance from x to 9 can be represented using an absolute value symbol, |x−9|.

Write the values of x that satisfy the condition as an absolute value inequality.

So, it become

|x−9|≤9

Now write two inequalities then it become

x−9≤9 and x−9≥−9

x≤18  and x≥0

So, The solution set is x≤18 and x≥0,

then the solution set is an interval including all real numbers between and including 18 and 0.

So |x−9|≤9 is equivalent to [18,0] in interval notation.

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Answer:

300.00

Step-by-step explanation:

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer:

Mode = 15

Mean = 12.8

Step-by-step explanation:

Given the data :

As obtained form the dot plot :

X : 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15

The mean of the data:

Mean = ΣX / n

Mean = 179 / 13

Mean = 12.785 = 12.8 years

Mode = most frequently occurring value = 15

Answer:

Corresponding Angles

Step-by-step explanation:

They are both in the same positions but just on different lines meaning they are corresponding :)

The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.

The angles 1 and 4, angle 2 and 3 are vertically opposite angles.

Similarly, 5&8 and 6&7 are vertically opposite angles.

The angle 4 and angle 8 are corresponding angles.

Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

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Answer:

34

Step-by-step explanation:

4r² + 3s² - rs ← substitute r = - 1, s = 3 into the expression

= 4(- 1)² + 3(3)² - (- 1)(3)

= 4(1) + 3(9) - (- 3)

= 4 + 27 + 3

= 34

Answer: 1- 26%

Step-by-step explanation:

just divide 100 by 100 and remove the % sign :)

scale factor of triangle is 20/7 = 2.8571 .

To get the scale factor of two triangles, follow these steps:

1. Check that the two triangles are similar.

2-If the triangles are similar, identify the sides that match.

3. Subtract any known angle from the triangle and multiply the result by the matching (also known) angle in the second triangle.

As a result,

4- the scale factor is equalized by the division.

∵ To find scale factor of two triangle we divide the sides of the both sides

∴ the scale factor of triangle given will be 20/7 = 2.8571 .

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Answer:

165

Step-by-step explanation:

18 x 6 = 108

19 x 3 = 57

108 + 57 = 165

:)

Answer:

\(3x^{2} +38x+80\)

Step-by-step explanation:

Hello!

A trinomial is a expression consisting of three different terms

To turn this into a trinomial we multiply everything to each other

                    3x                    

3x * x = \(3x^{2}\)

3x * 10 = 30x

                    8                      

8 * x = 8x

8 * 10 = 80

Now we put them all together in an equation

\(3x^{2} +30x+8x+80\)

Combine like terms

\(3x^{2} +38x+80\)

The answer is \(3x^{2} +38x+80\)

Hope this helps!

Answer:

a = 3/28

Step-by-step explanation:

To start solving for a variable, you need to isolate it.

-4/3b = 4a

-4/3 divided by 4 equals -4/12 or -1/3

a = -1/3b

To completely solve for a we need to plug it back in and solve for b.

b = (4(-1/3b)) - 3/4

b = -4/3b - 3/4

7/3b = -3/4

b = -9/28

Finally, we can plug b back in to the previous equation we got for a to solve for a.

a = -1/3(-9/28)

a = 3/28

Furthermore, we can check if this is correct by plugging in 3/28 for a into the original problem and see if we get what we got for b (-9/28)

Answer:

Step-by-step explanation:

Use Pythagorean to determine the answer

#4

#5

#6

\( \eta \times \eta \times \eta = 60 \\ \eta {}^{3} = 60 \\ \eta = \sqrt[3]{60} \approx3.91487\)

The height of the pole is 8.5 m.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Given as:

Let x be the height of the pole.

So,

\(\text{Tan} \ 12^\circ=\dfrac{\text{x}}{40}\)

\(\text{0.213}=\dfrac{\text{x}}{40}\)

\(\text{x}=\sf 40\times0.213\thickapprox8.5\)

Hence, the height of the pole is 8.5 m.

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Answer: because when you connect all the coordinates it forms a rectangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Answer:

1/8

Step-by-step explanation:

For the match to be finished after 3 games are played, it means that 1 person my win 3 games in a row.

Since each player has a 50% chance of winning, the chances of it would be

1/2*1/2*1/2 or (1/2)^3

Therefore the answer is 1/8 chance

The probability that the match will be finished after the first 3 games are played is \(\frac{1}{8}\)

Since the match to be finished after 3 games are played this represent that 1 person my win 3 games in a row.

Each player has a 50% chance of winning, the chances of it should be

\(= (1\div 2)^3\\\\= \frac{1}{8}\)

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The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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L and J share no common elements, so their intersection is the empty set (c).

The intersection of sets L and J is represented as L∩J = ∅. (Option D)

In mathematics, when dealing with sets, it's essential to understand how different sets interact with each other. In this case, we have two sets, L and J, each containing specific elements. We need to find the intersection of these two sets, which refers to the elements that are common to both sets.

The intersection of two sets, denoted as L∩J, refers to the collection of elements that appear in both sets L and J. In other words, it includes all the elements that are common to both sets.

Now, let's examine the elements of sets L and J:

L = {d, e, g}

J = {b, c, h}

To find the intersection, we look for the elements that appear in both L and J. As we observe, there are no common elements between the two sets. Set L contains elements {d, e, g}, and set J contains elements {b, c, h}, but there are no elements that are shared between these two sets. Therefore, the intersection of L and J, denoted as L∩J, is an empty set (symbolized by ∅).

L∩J = ∅

The above equation means that there are no elements that are common to both sets L and J. In other words, the intersection of L and J is an empty set, indicating that there are no shared elements between the two sets.

To summarize, when we compare sets L and J, we find that their intersection is an empty set, which means there are no elements that are present in both sets. Therefore, option C (L∩J = ∅) is the correct choice. Option A (L∩J = {b, c, d, e, g, h}), option B (L∪J = {b, c, d, e, g, h}), and option D (L∪J = ∅) are not correct in this case, as they represent the union of sets or an empty set, which do not accurately reflect the intersection of L and J.

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Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

check the attachment given belοw tο understand.

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