the height of the wall is half the length. you know the perimeter of the rectangular wall is 48 feet. What is the area of the wall?

Answer:

Ok so "X" will ALWAYS be the first number in a ordered pair so in this case 3 WILL be the "X" value 5 will be the "Y" value. "X" is the Horizontal line on the graph you will always start with "X" so you will go over 3 times and up 5  I'm making this complicated but pretty much all you need to know is that "X" is 3

Note: I hope you have a good day and I hoped this helped! :))

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

The sum of the whole numbers from 1 to 680 is 231540.

Arithmetic sequence is a list of numbers where each number is equal to the previous number, plus a constant called the common difference.

The formula for sum of first n numbers can be expressed as;

Sₙ = (n/2)( a₁ + aₙ )

Where n is the number of terms, a₁ is the first term and aₙ is the nth term.

Given that,

The numbers are whole numbers from 1 to 680

Plug the given values into the equation above.

Sₙ = (n/2)( a₁ + aₙ )

S₆₈₀ = (680/2)( 1 + 680 )

S₆₈₀ = 340( 681 )

S₆₈₀ = 231540

Therefore, the sum of the whole numbers from 1 to 680 is 231540.

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The length of the diagonal AB of the given square is 8.660

Given that a diagram of a cube having dimensions 5×5×5 and asked to find out the length of diagonal AB(which is a body diagonal of the cube).

To calculate the body diagonal 1st we need to calculate the face diagonal via the Pythagorean theorem

Let's assume the length of the face diagonal is x

By Pythagorean theorem

[tex]x^{2} =5^{2} + 5^{2}[/tex]

[tex]x^{2} =50[/tex]

[tex]x=5\sqrt{2}[/tex]

Therefore, the length of the face diagonal is [tex]5\sqrt{2}[/tex]

Let's assume the body diagonal is y

By Pythagorean theorem

[tex]y^{2} =5^{2} +(5\sqrt{2} )^{2}[/tex]

[tex]y=\sqrt{125}[/tex]

y=[tex]5\sqrt{3}[/tex]=8.660

Therefore, The length of the diagonal AB of the given square is 8.660

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According to the given information the mean(MAD) of the data is = 16.

The mean is the average of a set of variables in mathematics and statistics. The mean can be calculated in a variety of ways, such as the simple arithmetic mean (add the numbers and divide the sum by the number of observations), geometric mean, and harmonic mean.

(13 ,14 ,14, 16, 16, 16, 16, 18, 18, 19)

adding the numbers together.

(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 18 + 19)

= 160.

Then divide it by the amount of numbers. Which is ten.

160 divided by 10 = 16.

—MAD—

Subtract each value from the mean.

(|13-16| + |14-16| + |14-16| + |16-16| + |16-16| +|16-16| + |16-16| + |18-16| + |18-16| + |19-16|)

Negative numbers are unimportant; everything should be positive.

(3 + 2 + 2 + 0 + 0 + 0 + 0 + 2 + 2 + 3)

= 16.

16 divided by 16 (amount of numbers).

MAD = 1

–IQR—

Separate both sides in half.

(|13 14 14 16 16| ,|16 16 18 18 19|)

Take the middle value of each group.

Group1.

|13 14 (14) 16 16|

This one is 14.

Group 2:

|16 16 (18) 18 19|

This one is 18.

Subtract (number from group 2) 18 from (number from group 1) 14.

18 - 14 = 4

IQR = 4.

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Answer:

we need to add [tex]a^{2}[/tex] to make it a perfect square.

Step-by-step explanation:

since we know

[tex]a^{2}+b^{2}-2ab=(a-b)^{2}[/tex]

then after compairing it with x² - 2xa

we have;

missing term as   [tex]a^{2}[/tex]

hence we need to add [tex]a^{2}[/tex] to make it a perfect square.

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Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Answer:

50 + 20h

Step-by-step explanation:

The function g(x) is given as:  g(x) = 3 ( x + 4 )^2 + 5

Given data

f(x)=x2

shifted 4 units left

stretched by a factor of 3

shifted 5 units up

The function g(x) is formed from the function f(x) by the following moves:

Shifting 4 units to left

To shift the graph 4 units to the left is given by

f(x) = x^2

f(x) = ( x + 4 )^2

Stretching by a factor of 3

to stretch by a factor of  3 means multiplying by 3

f(x) = 3 * ( x + 4 )^2

f(x) = 3 ( x + 4 )^2

Shifting 5 units up

This movement is shows in the y axis and is represented as follows

f(x) = 3 ( x + 4 )^2 + 5

At this stage the function rule for g(x) is completed hence

f(x) = 3 ( x + 4 )^2 + 5 = g(x)

and

g(x) = 3 ( x + 4 )^2 + 5

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The probability that the next two offspring will both be girls is 1/3.

To find P both children are girls

A: Event that both children are girls

A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}

Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)

(P(A∩B)P(B))

Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414

Therefore,

P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.

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In  linear equation, the distance of the flowerbed from the hive is 2250 feet.

What in mathematics is a linear equation?

Let , the distance of the flowerbed from the hive is  feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

      time =   distance / speed

So, the time taken by the bee to reach the flowerbed x/20 seconds and the time taken to fly back to the hive = x/12  seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be

 x/20 + x/12 + 900 = 1200

3x + 5x / 60 = 300

8x  = 300 * 60

x = 2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

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The lateral surface area of prism is 240cm2, total surface area is 250cm2 of prism , the volume of prism is 100cm2.

What is lateral surface of prism?

The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. Also, (a + b + c) is the perimeter of the base (triangle).

What is total surface area of prism?

The total surface area of a right prism is T. S. A. = PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism.

What is volume of prism?

The formula for the volume of a prism is given by the product of the base and height of the prism. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism.

Given that,

The sides of prism are a=3cm, b= 4cm, c= 5cm

Also given that the height of the prism is h=20cm.

The lateral surface area of prism (LSA) = ah + bh + ch

Lateral surface area of prism = (3)(20)+(4)(20) +(5)(20)

Lateral surface area of prism = 60 + 80 + 100

Lateral surface area of prism = 240 cm2

The Total surface area of prism (TSA) = ph+2a

Total surface area = (LSA) + area of 2 bases

Total surface area = 240 + 2(5)

Total surface area = 250cm2

The volume of prism = base x height

Volume of prism = 5 x 20

Volume of prism = 100cm2.

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Answer: y=[tex]\frac{5-9x}{2}[/tex]

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y=[tex]\frac{5-9x}{2}[/tex]

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15     ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

Answer:

Step-by-step explanation:

3^2+4^ / 3-4 = -25

25r(cos^2Ф-sin^2Ф)-6cosФ=0

The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates

The rectangular coordinate system consists of two real number lines that intersect at a right angle

In cylindrical coordinate, x=rcosФ

y=rsinФ

z=z

25(rcosФ)^2=25(rsinФ)^2=6rcosФ

25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ

25r^2(cos^2Ф-sin^2Ф)=6rcosФ

25r(cos^2Ф-sin^2Ф)-6cosФ=0

25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.

Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation

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Answer:

LCM = 240

GCF = 8

Step-by-step explanation:

Least common multiple (LCM) is the smallest number that both 40 and 48 go into

Greatest common factor (GCF) is the largest number that can go into 40 and 48.

The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².

Volume is defined as the amount of three-dimensional space enclosed by a closed surface.

Now, as per the given question;

First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:

15×42 gal = 630 gal

This volume must be converted to square meters:

V = 630 gal × (0.00379 m³/ gal

V = 2.4 m³

The thickness (height) of a oil film in meters is required:

h = 250 nm × (m/10⁻⁹nm)

h = 2.5 × 10⁻⁷m

The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.

A  = V/h

A  = 2.4 m³/2.5 × 10⁻⁷m

A = 9.6 × 10⁶ m²

Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².

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Answer:

Step-by-step explanation:

the given graph is montonous so no decreasing or increasing

please mark me

Answer:

the graph decreases from -infinity to -3 and 3 to positive infinity and increase from -3 to +3

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

4x180=720 u have to multiply because 4 miled in 180 days is the same as 4x180

The midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₋/2 )

Given the coordinate points( -3, 8) and (2, -4)

Substitute

M(x, y) = (-3+2/2, 8-4/2)

M(x, y)= (-1/2, 4/2)

M(x, y) =(-0.5, 2)

Hence the midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

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The volume of the water filled in the cylinder A is 141.77  cm³.

A cylinder is a 3 solid that contains two parallel bases connected at a fixed distance by a curved surface.

The formula for the volume of the cylinder is;

Volume = πr²h

Where, π = 3.14,

radius r = 3 cm.

height h = 10 cm.

Put the values and obtain the volume.

Volume = (3.14)(3)²(10)

Volume = 282.74  cm³.

As, the cylinder is half filled with water;

Water volume = 282.74/2  cm³

Water volume = 141.77  cm³

Thus, the volume of water filled in cylinder A is 141.77  cm³.

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The correct question is-

Cylinder A has radius 3 cm and height 10 cm. Cylinder A is half full of water.

Work out the volume of water in Cylinder A.

The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

x = 11.74

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

Here is your Answer

step by step explanation

Hit thanks, if it's help full

Answer:

1/5 c - 5

Step-by-step explanation:

1/5 c - 5 = (c - 25)/5

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.

The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.

Given: Equations of the lines:

To find: description of the points (x, y, z) in the plane.

Finding:

According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.

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