A square has a perimeter of 20x+28 units. Which expression represents the side length of the square in units? A 4x+4 B 5x+7 C 3x+13 D x+4​

We know the mean is the average.

The mean of a data set is found by adding all the numbers and then dividing by the number of numbers.

We know 4 of the 5 numbers.

Let the 5th number be "x".

So, from the given information, we can write an equation:

Cross multiplying and a bit of algebra will let us find the value of "x":

The fifth value is 14.

Answer:

Step-by-step explanation:

To make graphing a line easier, determine the y-intercept and the x-intercept and then connect these two lines on the coordinate plane.

y-intercepts occurs when x = 0

when x = 0;  y = ²/₅ (0)  + 3

                    y = 3

x-intercept occurs when y = 0

when y = 0;  0 = ²/₅ x  + 3

                    -3 = ²/₅ x

              ⁽⁻³⁾⁽⁵⁾/₂ =  x

                    x   = ⁻¹⁵/₂

∴ the y-intercept is (0 , 3) and x-intercept ( ⁻¹⁵/₂ , 0)

Answer:

S(t) is a function, because there is a unique output value (number of students) for each input value (number of years after 2000)

S(t) can be represented by a graph, where the horizontal axis represents the number of years after 2000, and the vertical axis represents the number of students

Step-by-step explanation:

The statements regarding function S are true are:

S(5) = 2024 means there were 2024 students in 2005.

S(10)= S(5) there same number of students in 2005 and 2010.

We have function,

S(t)= 2000t

First, S(0) in 2000 means that there were 2000 students in starting.

Second, S(5) = 2024 means there were 2024 students in 2005.

Third, S(10)= S(5) there same number of students in 2005 and 2010.

Fourth, S(15)- S(10)= -40 means that there were 40 less students in 2015 than in 2010.

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Answer:

\({m}^{2} +7m + 28 = 0\)

Step-by-step explanation:

Given that,

\(m = {x}^{2} + 3\)

We know that,

\( {x}^{2} = m- 3\)

Now look at the sum

\(( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ \)

\(( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0\)

It is not possible for the sum of two rolled dice to be greater than 12. The maximum sum possible is 12 when both dice roll a 6. Therefore, the event e where the sum of two rolled dice is less than or equal to 99 is the entire sample space of possible outcomes when rolling two dice.
Based on the terms given, your question pertains to the event "e" which involves rolling two dice and obtaining a sum less than or equal to 99. Since the maximum sum you can get from rolling two dice (each with six faces) is 12 (6+6), all possible outcomes of rolling two dice will result in a sum less than or equal to 99. Therefore, the outcomes in event "e" are all combinations of rolling two dice, represented as (die1, die2):

Your answer: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

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Answer:

AOB seems to be the same as DOE, which means DOE is equal to 40 degrees as well. And if DOF is 120, and DOE is inside of it, you would subtract 40 from 120, which is 80. And since that area is also the same as BOC, it would mean that BOC is equal to 80 as well.

So since we have those current angles, we have to add them up (40+40+80+80) which is equal to 240 degrees. Since there is 360 degrees in a circle, you would then subtract 240 from 360 to find the last answers, which equals 120. However since there are two angles left, it means we would split that 120, which equals 60. Now we add all the answers together (40+40+80+80+60+60=360)

So finally, the answers are

Also sorry if the way I explained it seems confusing, hope this helps though

Step-by-step explanation: i did this so the other person can get brainlist

The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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Answer:

\(\huge\boxed{GCF:6x^3y}\)

\(\huge\boxed{Factored: 6x^3y(2x+5)}\)

Step-by-step explanation:

Look at both terms separately, and isolate each "part."

i.e. 12x^4y^2 becomes 12, x^4, y^2

So the problem becomes:

12, x^4, y^2 and

30, x^3, y^1

Then, find the GCF of each term,

30 and 12 - 6

x^4 and x^3 - x^3

y^2 and y^1 - y^1

Hope it helps :) and let me know if you want me to elaborate.

The expression (19 - (3 × 5)) × 20 is Equivalent to 80.

We are given a mathematical expression:19 - 3 × 5 19 - 3 × 5 19−3×519−3×5

We are to put the parentheses to make it equivalent to 80.

Since we know that multiplication has to be carried out before subtraction,

so if we put a pair of parentheses around 3 and 5, it will tell the calculator to do the multiplication first.

Thus, we have:(19 - (3 × 5))We can simplify this expression further as: (19 - 15) = 4

Therefore, the expression (19 - (3 × 5)) is equivalent to 4, but we need to make it equal to 80.

So, we can multiply 4 by 20 to get 80, i.e. we can put another pair of parentheses around 19 and (3 × 5) as follows:(19) - ((3 × 5) × 20)

Now, simplifying this expression we get:19 - (60 × 20) = 19 - 1200 = -1181

Therefore, the expression (19 - (3 × 5)) × 20 is equivalent to 80.

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

0.24186

Step-by-step explanation:

40 x (3/5) = 24

24 x (3/5) = 72/5 or 14.4

Keep multiplying 3/5 or 0.6

= 0.24186

The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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The value that makes the equation true is A. 4.

A fraction is a given number expressed as it numerator divided by its denominator. For example; a/b where a is the numerator and b is the denominator. The types of fraction are: proper, improper and mixed fractions.

In the given question, let the required value be represented by t.

So that;

64/100 = 6/10 + t/100

find the LCM, to have;

64/100 = (60 + t)/100

cross multiply

100*64 = 100*(60 + t)

divide through by 100,

64 = 60 + t

t = 64 - 60

 = 4

t = 4

The value that makes the equation true is A. 4.

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Arc HGK, formed by the diameters HK and IG, is a semicircle with a measure of 180 degrees, covering half of the circle's circumference.

Given that HK and IG are diameters of the circle ®L, we can determine the nature of arc HGK and find its measure.

Since HK is a diameter, it divides the circle into two equal halves, creating a semicircle. A semicircle is an arc that spans exactly 180 degrees, which is half of the total degrees in a circle.

Therefore, arc HGK is a semicircle. It represents half of the circle's circumference, with its endpoints being H and K. The measure of a semicircle is always 180 degrees, regardless of the size or radius of the circle.

This can be visualized by imagining the circle ®L and drawing the diameter HK. The arc HGK would correspond to the portion of the circle traced out by moving from point H to point K along the circumference. Since it covers exactly half of the circle's circumference, its measure is 180 degrees.

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Step-by-step explanation:

x + x + 3 = 48

2x = 48 - 3

2x = 45

x = 45/2

Answer:

x = 45/2

Step-by-step explanation:

x+x+1+2 = 48

combine like terms

2x + 3 = 48

2x - 3 = -3

     2x = 45

  2x/2 = 45/2

       x = 45/2

2x^3y + 7xy^2 - 3x^2 - 12y

Answer:

● 2x³y + 7y²x - 3x² - 12y ✔

The measures of the three angles of the isosceles triangular banner are approximately 57.3 degrees, 61.4 degrees, and 61.4 degrees.

Let's denote the measure of each angle as A.

Each right triangle formed has a base of 9 feet (half of the equal side length) and a height (altitude) that we need to find.

The area of each right triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values:

68 = (1/2) * 9 * height

68 = 4.5 * height

height = 68 / 4.5

height ≈ 15.11 feet

In a right triangle, the sine of an acute angle is equal to the ratio of the opposite side to the hypotenuse.

sin(A) = height / equal side

sin(A) = 15.11 / 18

A ≈ arcsin(15.11 / 18)

Using a calculator, we find:

A ≈ 57.3 degrees

Since the triangle is isosceles, the other two angles are also congruent and each measures (180 - A) / 2.

Each of the other two angles ≈ (180 - 57.3) / 2 ≈ 61.4 degrees.

Therefore, the measures of the three angles of the isosceles triangular banner are approximately 57.3 degrees, 61.4 degrees, and 61.4 degrees.

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Answer:

Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

Step-by-step explanation:

Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.

Since we want to make 30 liters of a 10% solution, we can set up the following equations:

Equation 1: x + y = 30 (total volume equation)

Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)

From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:

(0.06(30 - y) + 0.15y) / 30 = 0.10

Simplifying the equation gives:

(1.8 - 0.06y + 0.15y) / 30 = 0.10

1.8 + 0.09y = 3

0.09y = 1.2

y ≈ 13.33

Substituting y back into Equation 1, we find:

x + 13.33 = 30

x ≈ 16.67

Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

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Answer: A. 0,0

Step-by-step explanation:

edge2021

Answer:

A)

Step-by-step explanation:

got it right on edge :) good luck!

vv I've attached the image of the question below so you can be sure

Answer:

see explanation

Step-by-step explanation:

(a)

(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )

x² = 12² + 15² - (2 × 12 × 15 × cos71°)

(b)

x² = 144 + 225 - 360cos71°

   = 369 - 360cos71° ( take square root of both sides )

x = \(\sqrt{369-360cos71}\)

  ≈ 16 cm ( to the nearest integer )

Answer: skew lines

Step-by-step explanation:

skew lines are two lines that do not intersect and are not coplanar

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

Answer:

Its point A. Or 4,5 or -4,5

Step-by-step explanation:

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

Answer: r= C/2pi

Step-by-step explanation:

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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Step-by-step explanation:

just look at the graph ! what answer options can be possible, when you look at the first and the last point ?

the position km are 40 and 15.

the first answer option is the right one.

Answer:

$0.96

Step-by-step explanation:

ok so 30.72 divided by 2 is 15.36. So 1 gallon is $15.36.

there are 16 cups in a gallon.

So there are 32 cups.

$15.36 dollars in gallons converted to that of 16 cups, or $30.72 dollars in gallons to 32 cups..

30.72 divided by 32 is 0.96. 15.36 divided by 16 is 0.96.

So, $0.96 is the price per cup

By using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

The reason that can be used to fill in the numbered blank space is the Angle Addition Postulate.

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by their union. In the context of triangle ABC, we can use this postulate to prove that the sum of the measures of the interior angles of the triangle totals 180°.

By applying the Angle Addition Postulate to each pair of adjacent angles in triangle ABC, we can show that the sum of all three angles is equal to 180°. The three angles in triangle ABC are angle A, angle B, and angle C.

Using the Angle Addition Postulate, we can write the following equations:

angle A + angle B = measure of angle A + B

angle A + angle B + angle C = measure of angle A + B + C

Since the measure of angle A + B + C represents the measure of the larger angle formed by the union of angles A, B, and C, we can conclude that angle A + angle B + angle C is equal to 180°.

Therefore, by using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

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