. p−20=−30 .
i need your help

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

How much per a pencil and eraser? I'll help you out from there :)

Confidence level: 99%. So, significance level = 0.01

Sample size n = 10

Since n < 30 and population standard deviation is not known, then we apply t-test.

Degree of freedom df = n - 1 = 10 - 1 = 9

At a cumulative probability of t.₉₉ and df = 9, we get tc = 2.821 (from t-table).

Since we are dealing with a left hand t-test (mu <2), then tc = -2.821.

x-bar = 1.8

s = 0.15            

From the data,

t = (x-bar - mu₀)/(s/SQRT(n)) = (1.8 – 2)/(0.15/SQRT(10))

t = (-0.2)/(0.15 * 3.1623) = -0.2/0.47434 = -4.22 (rounded to 2 decimal places)

The t value of -4.22 < -2.281, the latter being the critical value.

Thus, the data t falls in the rejection region.

Hence, at 99% confidence level, there is enough evidence to discard the Null hypothesis.

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Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer:

216 cm²

Step-by-step explanation:

The shape has six faces of the 11 cm height triangles and 6 faces of the 7 cm height triangles.

The base for all of the triangles is 4

4(11)/2=22

4(7)/2=14

6(22+14)=216

The point-slope form is y = -4x - 3.

Slope is the steepness of a line as it moves from left to right.

The given points are (3,-15) and (-1,1).

We can find the slope using the formula given below.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

i.e m = (1-(-15))/(-1-3) = 16/(-4)=-4

Hence,the slope m value is -4.

Consider the point (-1,1), to find the constant b.

1 = (-4 * -1)+b

1=4+b

b=-3

Substituting the values of slope and constant b gives the functional form of point-slope equation.

y = -4x - 3

Hence the functional form of point-slope equation is y = -4x - 3.

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Answer:

Thov txim ntau heev, tab sis kuv zoo li ruam heev yog li kuv xav tau cov ntsiab lus no thov tsis txhob qhia kuv!

Step-by-step explanation:

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

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Answer:

The first step to solving this question is to use PEMDAS; which is parenthesis, exponent, multiplication, division, addition, subtraction,. Then you have to do 3 multiplied by x which will be x^3.

Step-by-step explanation:

Answer: 400

Step-by-step explanation:

25% is equal to one quarter (1/4). If theres 100 red gumballs then there must be 300 more gumballs in the machine because a quarter of a number is always even.

Answer:

not poisonous

Step-by-step explanation:

☠︎ X

☼                                                          ☀︎             ☆               ⭐︎ ★          ⭐︎                                                ♡       ☽                ☁︎    ☁︎                      ☁︎      

\(*VirtuosoTeen*\)

The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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Answer:

.bbdndndnsnsbsb

Step-by-step explanation:

.ollwleueudjejebebeb

Answer:

Sanjay had eaten 60 mints.

Step-by-step explanation:

Given 5/8th part had eaten by Sanjay

then 3/8th part is left which equals to 36 mints

If 3/8 = 36,the 1/8 = 12

then 5/8 = 12 × 5

=60.

Answer:

1a. A

1b. C, D, H, J

2. 20580 meters

3. A

5. 59

Step-by-step explanation:

In Community Hospital Ages of Patients with Colon Cancer Annual Statistics, 20X the proportions are in order: 0.01, 0.06, 0.09, 0.29, 0.32.

To calculate the proportion of patients in each category, divide the number of patients in each category by the total number of patients:

Proportion of patients ≤30: 3/206 = 0.014

Proportion of patients 31-40: 12/206 = 0.058

Proportion of patients 41-50: 18/206 = 0.087

Proportion of patients 51-60: 60/206 = 0.291

Proportion of patients 61-70: 65/206 = 0.315

Proportion of patients 71+: 48/206 = 0.233

Rounding to two decimal places: 0.01, 0.06, 0.09, 0.29, 0.32.

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Image transcribed:

The table that follows shows a frequency distribution of patients with colon cancer treated at Community Hospital. Use an Excel spreadsheet to calculate the proportion of patients in each category. Round to two decimal places.

Community Hospital Ages of Patients with Colon Cancer Annual Statistics, 20X

Age--|--No. of Patients--|--Proportion

≤30--|--3--|--__________

31-40--|--12--|--__________

41-50--|--18--|--__________

51-60--|--60--|--__________

61-70--|--65--|--__________

71+--|--48--|--__________

Given that Leo takes 18 minutes to read 4 pages of a book.

Then Leo's rate (r) of reading can be calculated as,

So it is found that Leo's rate of reading is 4/18 pages per minute.

Then its reciprocal will give the time taken (t) by Leo to read a single page,

It means that Leo will take 4.5 minutes to read a single page.

Then the time taken by him to read

Answer:

Sir, as for as I can tell that is the correct answer. Maybe you put it in wrong or added a space but that’s correct 100%.

Unless it’s not supposed to be in y = mx + b format?

Step-by-step explanation:

Answer:

y = -x - 1

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

number that describes both the direction and the steepness of the line

slope = rise/run

            b represents the y-intercept  

point where crosses the y-axis

y = mx + b → y = -1x + (-1)

this can be simplified by -x - 1

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Answer:  27/250​

Step-by-step explanation:

Given :

b₁  =  1/2

q   =  3/5

\(\bullet ~~ \tt b _n = b_1 \cdot q^{n-1}\)

Since we are looking for a term belonging to a given progression , then
n ∈  N ,  and this condition will be met only in the variant  

\(\displaystyle \large \boldsymbol{}b_n = \frac{27}{250} \\\\ b_1 \cdot q^{n-1} = \frac{27}{250} \\\\\\ \frac{1}{2} \cdot \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{250}\\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{125} \\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \bigg (\frac{3}{5} \bigg ) ^3\\\\\\ n -1 = 3 \\\\ n = 4 \in \mathbb N\)

The value of LO if RU is 6 inches is solved to be 30 inches

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure when LM is 45 inches, and RS is 9 inches

the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5

9 * 5 = 45

when RU = 6 inches

6 * 5 = 30 inches

hence LO is 30 inches

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The independent variable and the dependent variable are the number of dollars spent and the number of tickets bought

Given that we have the following statement:

The independent variable is the input value

i.e. the number of dollars spent

Similarly, the dependent variable is the output value

i.e. the number of tickets bought

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Answer:

The probabilty is 1/2 for the coin and the probability is 1/6 for the die.

Hope this helps!

Step-by-step explanation:

Answer:

the posibility of getting a six on a die is 21/1 because there is 21 dot's on a die and getting a is 1/1 because there is only 2 sides hope this helps :)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

y = a^x

1/16 = a^2

so the answer is 1/4

The given statement " Research shows that sketch artists almost always produce more-accurate facial images than technicians using other methods." is True. Because sketch artists are able to capture more nuanced details of face

Research suggests that trained sketch artists can produce more accurate facial images compared to other methods such as facial recognition software or composite imaging software. This is because sketch artists can capture more details and variations in the facial features of a suspect or witness.

They can also work with the witness to create a likeness that accurately reflects their memory of the individual. Additionally, sketch artists are able to adjust and refine the image as the witness provides more information or corrections, leading to a more accurate final image.

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Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:

Linear speed =ωr=2π/86400×3960=11π/120 miles/s.

Step-by-step explanation:

The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

It is given that radius of equator of earth is 3960 miles.

We have to find the linear and angular speeds.

What do you mean by the linear speed ?

The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.

As per the question ;

radius of equator of earth = 3960 miles

The linear speed will be ;

s = rθ / t

We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.

So ;

s = (3960 miles × 2π) / 24 hour

s = 330π miles / hour

s ≅ 1036.73 miles / hour

And

The angular speed will be ;

ω = s / r

ω = 1036.73 / 3960 minutes

ω = 0.26 radian/hour

Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

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Answer:

===================

The mean is:

Simplify and solve for x:

Answer:

x = 45

Step-by-step explanation:

Formula we use,

→ (Sum of numbers/Total numbers) = 35

Now the value of x will be,

→ (Sum of numbers/Total numbers) = 35

→ (20 + 30 + 45 + x)/4 = 35

→ (95 + x)/4 = 35

→ 95 + x = 35 × 4

→ x = 140 - 95

→ [ x = 45 ]

Hence, the value of x is 45.