4. Point P is plotted on the number line. What number is represented by point P?

we can use the information given about its growth rate and the height after 4.5 years:So, it took 7 years from the time Vlad moved in until the tree was 357 centimeters tall.

Height increase per year = 26 centimeters
Years since Vlad moved in = 4.5 years
Height after 4.5 years = 292 centimeters
To calculate the initial height of the tree, we can multiply the growth rate by the number of years and add it to the starting height:
Initial height = Height after 4.5 years - (Height increase per year x Years since Vlad moved in)
Initial height = 292 - (26 x 4.5)
Initial height = 168 centimeters
Therefore, the tree was 168 centimeters tall when Vlad moved into the house.
To find out how many years passed from the time Vlad moved in until the tree was 357 centimeters tall, we can use the same formula and solve for the number of years:
Height increase per year = 26 centimeters
Initial height = 168 centimeters
Final height = 357 centimeters
To calculate the number of years, we can rearrange the formula as follows:
Years = (Final height - Initial height) / Height increase per year
Years = (357 - 168) / 26
Years = 6.04 years (rounded to two decimal places)
Therefore, it took approximately 6 years and 1 month for the tree to grow from 168 centimeters to 357 centimeters tall.
To determine the height of the oak tree when Vlad moved into the house, we can use the given information. The tree grows by 26 centimeters each year, and it was 292 centimeters tall after 4.5 years.
First, let's find the total growth during the 4.5 years:
26 cm/year * 4.5 years = 117 cm
Now, subtract the total growth from the current height to find the initial height:
292 cm - 117 cm = 175 cm
So, the oak tree was 175 centimeters tall when Vlad moved into the house.
To find out how many years passed until the tree was 357 centimeters tall, we can use the growth rate again:
First, find the difference in height between the target height (357 cm) and the initial height (175 cm):
357 cm - 175 cm = 182 cm
Now, divide the difference in height by the growth rate to find the number of years:
182 cm / 26 cm/year = 7 years

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Step-by-step explanation:

6A = B

100+A = C

A + B + C = 692

just replace B and C with A values

A + (6A) + (100 + A) = 692

8A = 592

A = 74

take A and put back into original relationships to find other numbers.

6A = B

6(74) = 444

100 + A = C

100 + (74) = 174

74 + 444 + 174 = 692

Answer:

b = 90º

Step-by-step explanation:

b is also 90º because the angles are supplementary

Answer:

90 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

answer is B, 3,500. B 3500

Answer:

A

Step-by-step explanation:

The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}

The expression is equivalent to option A, \(\rm 8x \sqrt[6]{x}\).

An expression is a mathematical statement that consists of variables, constants, and mathematical operators.

The expression is \(\rm 2\sqrt[3]{x^2} . \sqrt{16x}\)

The expression can be simplified as

\(\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}\)

Therefore, the expression is equivalent to option A, \(\rm 8x \sqrt[6]{x}\).

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The correct option for a regular hexagon is b) Each side of the model is

15 feet long. and c) The model is proportional to the original hexagon.

A regular hexagon is defined as a closed shape consisting of six equal

sides and six equal angles. The sum of the measure of angles of a

regular hexagon is 120 degrees.

It is given that a hexagon with side lengths of 2. 5 feet.

The scale factor is 6.

Since scale factor = new length/original length,

new length = scale factor × original length

                   = 6 × 2.5 feet

                   = 15 feet.

Also, each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.

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Answer:

4p-24

Step-by-step explanation:

First, you need to use the distributive property, then you get 4p-24.

Was this the answer you were looking for?

Answer:

5

Step-by-step explanation:

The relation (1, 1)\(,\) (2, 2)\(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .

In a relation is the x coordinate repeats , then it cannot be called a function

In the question ,

the relations are given as

Part(A)

(1, 1), (2, 2)\(,\) (3, 3), (4, 4) \(,\)(5, 8)

we see that , the x coordinate means the Domain is 1 , 2, 3 ,4 , 5 .

and since no number is repeating , this relation can be called as a function  .

Part(B)

(2, 7), (6, 5), (4, 4)\(,\) (3, 3), (2, 1)

we see that  , the x coordinate means the Domain is 2 , 6, 4 ,3 , 2 .

and the number 2 is repeating , this relation cannot be called a function .

Part(C)

(9, -3), (9, 3), (4, -2) \(,\) (4, 2), (0, 0)

we see that  , the x coordinate means the Domain is 9 , 9, 4 ,4 , 0 .

and the number 9 and 4 are repeating ,this relation cannot be called a function .

Part(D)

(1, 0), (3, 0), (1, 1) \(,\)(3, 1), (1, 3)

we see that  , the x coordinate means the Domain is 1 , 3, 1 ,3 , 1 .

and the number 1 and 3 are repeating , this relation cannot be called a function .

Therefore , The relation (1, 1), (2, 2) \(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .

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The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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Answer:

11

Step-by-step explanation:

you do 9 x 7 = 63    84 -63 = 11

HOPE THIS HELPS :3

Answer:

3

Step-by-step explanation

84/ 7 = 12

12-9=3

3+9= 12

12*7=84

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}\)

\(\mathrm{Substitute\:}Y=3x-2\)

\(\begin{bmatrix}3x-2-3x=4\end{bmatrix}\)

\(\mathrm\:{Combine\:like\:terms:\)

\(\begin{bmatrix}-2=4\end{bmatrix}\)

\(-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)

\(\mathrm{No\:Solution}\)

Answer: Options 3, 4, 6

Step-by-step explanation:

\(4x-y=6 \\\\-4x+y=-6\\\\y=4x-6\)

This means are looking for lines with a slope of 4 (since parallel lines have the same slope).

Answer:

Which lines are parallel to the graph of 4x – y = 6? Check all that apply.x – 4y = –12y – 2 = –4(x + 1)y + 1 = 4(x – 2)y = 4x + 11y = x – 38x – 2y = 6

Step-by-step explanation:

Which lines are parallel to the graph of 4x – y = 6? Check all that apply.x – 4y = –12y – 2 = –4(x + 1)y + 1 = 4(x – 2)y = 4x + 11y = x – 38x – 2y = 6

Option B is correct, Replace only the left hand side of one equation with the  sum/difference of the left hand sides of both equations.

Let's take a closer look at the two systems of equations:

System A:

-3x + 12y = 15

7x - 10y = -2

System B:

-x + 4y = 5

7x - 10y = -2

To transform System A into System B, we can replace the left-hand side of the first equation in System A with the left-hand side of the first equation in System B.

So the resulting system will be:

-3x + 12y = 5 (replacing the left-hand side of the first equation in System A with the left-hand side of the first equation in System B)

7x - 10y = -2

Now, we have System B.

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System A:

-3x+12y=15;

7x-10y=-2

System B:

-x+4y=5;  

7x-10y=-2

How can we get system B from system A.

(A) Replace one equation with the sum/difference of both equations

(B)Replace only the left hand side of one equation with the  sum/difference of the left hand sides of both equations

(C) Replace one equation with mutliple of itself

(D) Replace one equation with the multiple of the other equation

Answer:

x – 2

Step-by-step explanation:

Answer:

B. x-2

Step-by-step explanation:

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer:

                The slope is: m = -²/₅

               The y-intercept is:  b = -2

               The equation of the line: y = -²/₅x - 2

Step-by-step explanation:

  The equation of a line in slope intercept form: y = mx + b

The slope:   \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(-5, 0)   ⇒  x₁ = -5,  y₁ = 0

(0, -2)   ⇒  x₂ = 0,  y₂ = -2

So:

     \(m=\dfrac{-2-0}{0-(-5)}=-\dfrac25\)

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

Answer:

18 boys

Step-by-step explanation:

30*0.4= 12

30-12=18

Answer: 5%

Step-by-step explanation:

Given

With import, Dealer spent  \(Rs.\ 5250\)

If the cosmetic cost is \(Rs\ 5000\)

Import tax is  \(\Rightarrow 5250-5000=Rs\ 250\)

Percentage of import tax

\(\Rightarrow \dfrac{250}{5000}\times 100=5\%\)

The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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The difference of the fraction expression 7/8 - 6/11 is 1/2.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

To estimate the difference 7/8 - 6/11 by replacing each fraction with 0, 1/2, or 1 use the expression -

7/8 - 6/11

7/8 > 3/4 so round it to 1.

1/4 ≤ 6/11 ≤ 3/4 so round it to 1/2.

Now estimate the difference by replacing each fraction with 0, 1/2, or 1 -

7/8 - 48/88 ≈ 1 - 1/2 = 1/2

Therefore, it can be estimated that 7/8 - 6/11 is approximately equal to 1/2.

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Answer:

We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.

Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.

Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.

of accumulated knowledge of the medicinal value of rainforest species. As their homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.

library has burned down.

When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.

Step-by-step explanation:

The gate code to a gated community consists of the # key, followed by 3 letters chosen from the English alphabet, followed by 3 digits. The total number of possible gate codes is 17.576,000.

To find the total number of possible gate codes for the gated community, we need to determine the number of choices for each part of the code and multiply them together.
1. The gate code starts with the # key, which is constant, so there's only 1 choice for this part.
2. The next part consists of 3 letters chosen from the English alphabet. There are 26 letters in the alphabet, and each of the 3 positions can be filled with any of those letters. So, the number of choices for this part is 26 * 26 * 26.
3. The last part of the code consists of 3 digits. Since there are 10 digits (0-9), there are 10 choices for each digit. Therefore, there are 10 * 10 * 10 choices for this part.
Now, we'll multiply the number of choices for each part together to get the total number of possible gate codes:
1 * (26 * 26 * 26) * (10 * 10 * 10) = 1 * 17576 * 1000 = 17,576,000
So, there are a total of 17,576,000 possible gate codes for the gated community.

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Answer:

x=-10

Step-by-step explanation:

3x · 3x=9x-11x>20

-2x>20

÷-2    -2

___________-

x=-10

Hope this helps ∞

Answer:

Below.

Step-by-step explanation:

Smallest possible weight of the phone = 105 g.

Smallest possible weight of the case = 15.35 g

Answer is 120.35 g.