If w = 4y and 2w = 8, find the value of y.

The surface area of the square pyramid with the given dimensions is: 112 in.²

A square pyramid is a shape that has a square base and four triangular sides. A diagram of a square pyramid is shown in the image below.

Surface area of a square pyramid (SA) = base area (A) + perimeter of base (P) × slant height (s) / 2.

We are given the dimensions of a square pyramid as:

Length of a side of the base (b) = 4 in.

Base area (A) = 4² = 16 in.²

Base perimeter (P) = 16 in.

Slant height (s) = 12 in.

Therefore:

Surface area of a square pyramid (SA) = 16 + 16 × 12/2.

SA = 16 + 16 × 6

SA = 112 in.²

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The circle's center is located at (-4 -5i).

Given data,

A circle has a diameter with endpoints at -2 + i and -6 -11i.

(x₁, x₂) = (-2, -6)

(y₁, y₂) = (i, -11i)

To find what is the center of the circle;

It can be calculated by,

Add the two 'x' coordinates together and average, and the two 'y' coordinates together and average.

Now,

(x₁ + x₂)/2 = (-2 -6)/2

               = -8/2

               = -4

(y₁ + y₂)/2 = (i - 11i)/2

                = -10i/2

                = -5i

Hence, the center of the circle is at (-4 -5i).

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The Volume percentage of the solution which is 1 cup of sugar to 2 quarts of water is 15.15%.

⇒The volume percentage of the solution,

               = Volume of solute / Volume of Solution × 100%       →  1

As per the question,

Substitute the values in 1,

Volume percentage of the solution   =   Volume of solute / Volume of

                                                                  Solution ×  100%

                                                             =   ( 50 / 330 ) × 100

                                                             =   0.1515 × 100

Volume percentage of the solution   =   15.15%

Therefore, 15.15% is the volume percentage of this solution.

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The four basic properties of addition are:

Commutative property.

Associative Property.

Distributive Property.

Additive Identity Property.

When we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.

When we add three or more numbers, the sum is the same regardless of the grouping of the addends. It also means that when we add three different numbers, the result is not affected by the addition pattern followed.

A +( B+C) = (A + B)+C

On adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number. It is true for natural numbers, whole numbers, fractions, integers, and decimals.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately

Hence we get the required answer.

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When two sides and sides of one triangle are equal then it can be said that the triangles are congruent.

Here we have to find the case in which it can be proven that two triangles are congruent.

Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another side.

One of the simplest ways to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those two triangles must also be congruent. This method is called side-side-side( SSS).

Therefore when two angles and their sides are equal then two triangles are said to be congruent.

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For the given question
The correct option would be
It is proportional; each x-term is a multiple of the previous term.

Define a multiple.

Manifold is the simplest way to define a multiple. A multiple in mathematics is the outcome of multiplying two numbers together, or multiple is the set of numbers you obtain when you divide a number by an integer.

As an illustration, multiple of 5 include: 10, 15, 20, 25, 30, etc. 14, 21, 28, 35, 42, 49, and so on are all the multiple of 7.

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Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

This is a vertical line. The equation for a vertical line is:

[tex]x = \textrm{constant}[/tex]

where the constant is the x-coordinate of every point on the line.

In this case, the x-coordinates given are -2, so the equation for this line is:

[tex]x = -2[/tex].

Given that f might either be 29 or 31, both of which are greater than 23, and thus n follows, sufficient conditions for n is divided by positive integer d.

According to Statement A, 900 divided by f yields a remainder of m = 1. This provides no information about n or D; Insufficient

According to Statement B, the remainder n = x if N is divided by D = 23. This provides no information about r or d; Insufficient

Putting A and B together, since 900/f gives r = 1, d is a factor of 899.

The challenging part: 899 factors equal 29*31

Consequently, f might either be 29 or 31.

Since R can't be more than 23 based on B, D=23, and R is the reminder, so,

23 => n < 23

Thus, given that f might either be 29 or 31, both of which are greater than 23, and thus n follows, sufficient.

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A) The y-intercept of the given is 43.13 and coordinates is,

[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]

B) The y-intercept represent the constant variable.

What is y-intercept?

 In mathematics, the intersection point is the point on the y-axis through which the slope of the line passes. The y-intercept is where the line or curve intersects or touches the y-axis. This is the vertical, often dark line in the middle of the chart. The y-intercept of a chart is the point where the chart intersects the y-axis. Y-INTERCEPT means the y-coordinate of the point where the line, curve, or surface intersects the y-axis.

in given problem take number of text represent as x coordinate and cost of month represent y coordinate , then

[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]

Now using slope formula ,

slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = 3.65/73 = 0.05

Now using equation formula ,

[tex]y-y_1=m(x-x_1)[/tex]

=> y-45 = 0.05(x-37.25)

=> y-45 = 0.05x-1.8625

=> y= 0.05x+45-1.8625

=> y = 0.05x+43.13

Here we know that equation general form is y = mx+b ,  where b is

y intercept.

Therefore y intercept is 43.13 and it represent the constant variable.

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Answer:

67

Step-by-step explanation:

angle EGF and angle EFH has the same arc EDH, so their angles are also the same

Answer:

50

Step-by-step explanation:

Since 45-45-90 tri, x^2+x^2=100^2.

x^2+x^2=10000 so 2x^2=10000 and 2x=100 so x=50

Answer:

x=111, y=29

Step-by-step explanation:

The x position of  center of mass is =  0.389 m  , the y position of center of mass is = 0.444 m    .

In the question ,

it is given that , first stick lies along y-axis from y = 0.470 m to y = 1.47 m.

So , coordinate of first stick is (x1 , y1) = (0 , (0.47+1.47)/2) = (0 , 0.97)

the second stick lies along x-axis from x = 0.320 m to x = 1.32 m ,

So , the coordinate of second stick is (x2 , y2) = ((0.32+1.32)/2 , 0) = (0.82 , 0)

the third stick is positioned so that one end is on x-axis at x = 0.690 m, and the other end is on the y-axis at y = 0.724 m .

the coordinate of third stick is (x3 , y3) = (0.690/2 , 0.724/2) = (0.345 , 0.362)

So , x position of center of mass is x = (0 + 0.82 + 0.345)/3

= 0.389 m

So , y position of center of mass is y = (0.97 + 0 + 0.362)/3

= 0.444 m

Therefore , The x position of the center of mass is =  0.389 m  , the y position of center of mass is = 0.444 m    .

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Answer:

[tex]12x+36[/tex] in²

Step-by-step explanation:

The area of the inner square is [tex]x^2[/tex] in².

The area of the whole square is [tex](x+6)^2[/tex] in².

Taking the difference, [tex](x+6)^2-x^2=(6)(2x+6)=12x+36[/tex] in².

Answer:

[tex]\huge\boxed{\sf 12x + 36 \ in.^2}[/tex]

Step-by-step explanation:

Length = x in.

So,

Area = (x)²

Area = x² in.²

Length of the whole rug = 3 + x + 3 = x + 6

So,

Area = (x + 6)²

Area = x² + 12x + 36 in.²

= Area of the whole rug - Area of the inner part

= x² + 12x + 36 - x²

= x² - x² + 12x + 36

[tex]\rule[225]{225}{2}[/tex]

The required value of x for the given condition g(x) = f(2) is x = 2.

This relationship is regularly represented as y = f(x) — which is expressed "f of x" — and y and x are connected with the end goal that for each x, there is an extraordinary worth of y. That is, f(x) can not have more than one incentive for a similar x. To utilize the language of set hypothesis, a capability relates a component x to a component f(x) in one more set.

f(x) = 3x - 1 and g(x) = 2x - 3

To find value of x for g(x) = f(2)

Then, f(2) = 3(2) - 1 = 6 - 1 = 5

So, g(x) = 2x - 3 = 5

2x = 8

x = 4

Thus at x = 4   g(x) = f(2).

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When organisms are crossed, there are only two possible phenotype outcomes, and they each have a 50/50 chance of emerging, which is known as a 1:1 phenotypic ratio.

In the given question we have to explian about 1:1 phenotypic ratio.

The phenotypic ratio is the relationship between the proportion of children that will exhibit a particular trait or a combination of features. This ratio is often obtained by performing a test cross, noting how frequently a characteristic or combination of traits will be manifested based on the genotype of the offspring, and using the information from that cross.

When organisms are crossed, there are only two possible phenotype outcomes, and they each have a 50/50 chance of emerging, which is known as a 1:1 phenotypic ratio.

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The score at 35th percentile is 469.6 marks according to standard deviation and mean.

What is standard deviation?

Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis

Main body:

Given:

mean of μ = 500  and standard deviation of σ = 80

To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:

We can then plug this value into the percentile formula:

Percentile Value = μ + zσ

35th percentile = 500 + (-0.38)*80

35th percentile = 469.6

the score at the 15th percentile weighs about 469.6 marks.

Hence marks at 35th percentile is 469.6

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Answer:

n - 5

Step-by-step explanation:

n is a variable

less mean to subtact so n - 5

72 is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 54.

We know that the sum of all the angles of any triangle is 180

We have to use the above property in order to find the measurement of the vertex angle.

Now our triangle is isosceles , that is the two equal sides will be containing equal angle. One of them is given as 54

And hence the other will also be 54.

Let the vertex angle be x

180=54+54+×

180=108+×

x=180-108

x=72

Hence the vertex angle is 72

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When testing for significance among three or more groups, it may be difficult to determine where the significant differences are in a dataset. An Analysis of Variance (ANOVA) can pinpoint the difference(s). The correct option is B.

Analysis of variance is a collection of statistical models and the estimation procedures that go with them that are used to analyze the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a method for determining whether the means of two groups differ. Inferential statistics uses samples to infer population properties. Statistical tests such as ANOVA assist us in determining whether sample results are applicable to populations.

The null hypothesis in ANOVA states that there is no difference between group means. The ANOVA will report a statistically significant result if any group differs significantly from the overall group mean. ANOVA is a statistical method that divides observed variance data into different components for use in additional tests. For three or more groups of data, a one-way ANOVA is used to learn about the relationship between the dependent and independent variables.

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Answer:

1, 2, 7, and 14

Step-by-step explanation:

factors of 14 : 1, 2, 7, and 14

factors of 28 : 1, 2, 4, 7, 14, and 28

so then common factors between 14 and 28 are 1, 2, 7, and 14

Problem 1:

1) Simplify 1/3p to p/3.

-p/3 = 7

2) Multiply both sides by 3.

-p = 7 x 3

3) Simplify 7 x 3 to 21.

-p = 21

4) Multiply both sides by -1.

p = -21

Problem 2:

1) Simplify 4/5x to 4x/5.

48 = 4x/5

2) Multiply both sides by 5.

48 x 5 = 4x

3) Simplify 48 x 5 to 240.

240 = 4x

4) Divide both sides by 4.

240/4 = x

5) Simplify 240/4 to 60.

60 = x

6) Switch sides.

x = 60

Thanks,

Eddie E.

Answer:

a) p= -21

b) x= 60

Step-by-step explanation:

A) -1/3p=7

   /-1/3.  /1/3

    p=7*3/-1

   p= -21

B) 48=4/5x

   /4/5.  /4/5

   48*5/4=x

240/4=x

60=x

Hopes this helps please mark brainliest

The solution for p(-2) in the function when the function p(n) = 2n is -2

From the question, we have the following equation that can be used in our computation:

p(n)=2n

To make the equation legible, we need to rewrite it

So, we have the following representation

p(n) = 2n

Also from the question, we have

p(-1)

This means that the value of n is -1, and we calculate p(n) when n = -1

Substitute the known values in the above equation, so, we have the following representation

p(-1) =  2 * -1

So, we have the following equation

p(-1) =  2 * -1

There is no constant to add or subtract to both sides of the equation

So, we have the following representation

p(-1) =  -2

Hence, the solution is -2

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The total Drake feed his horse this week is 58.22 pound or 58[tex]\frac{11}{50}[/tex] pound.

Let's break it down,

day 1 = 12 pound

day 2 = 12 pound

day 3 = 12 pound

day 4 = 11[tex]\frac{2}{5}[/tex] pound

day 5 = 10.82 pound

First to answer in decimal, change all value to decimal. Since only day 4 value is not decimal, so we only change day 4 value.

day 4 = 11 + (2 ÷ 5) = 11.4 pound

Total pound = 12+12+12+11.4+10.82

= 58.22 pound

Next, to answer in fraction, we only change the result in decimal to fraction. So,

58.22 = 58 + (22 ÷ 100)

= 58[tex]\frac{22}{100}[/tex]

simplified

= 58[tex]\frac{11}{50}[/tex]

Thus, this week Drake feed his horse 58.22 pound of hay or equal to 58[tex]\frac{11}{50}[/tex] pound of hay.

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The area covered by fire in 20 hours time is 1311 square meters

13% increment represents increment by a factor of 1.13

The rate at which the fire increases is 13% per hour, hence in 20 hours the area will be covered by a factor of 22.6 solved as shown below:

= 20 * 1.13

= 22.6

The area covered by fire in 20 hours time

= 22.6 * 58 m^2

= 1310.8 m^2

= 1311 m^2

Using the rate of the fire coverage which is 13% per hour in 20 hours the fire will cover 1311 square meters

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Answer:  The answer is b = -28 (type -28 in the box)

Step-by-step explanation:

The equation of this line in y=mx+b format is:

y=-6x-28

Answer:

2

Step-by-step explanation:

The original ratio is 6:12

That could be looked at as divided by half. OR, you can look at it as 12/3 is 4

So 4/2 is 2, and for the second method I provided... 6/3 is 2

The jobs can be ordered in the queue so that job A is first or job B is last or both, in  (2 x 13! - 12!) different ways or 11,975,040,000 different ways.

Factorial is a function to calculate number of ways a number of objects can be arranged.

In the given problem, there is a set of 14 jobs in the printer queue, where two of them called job A and job B.

Case 1: job A is the first in the queue order.

In this case, the position of job A is fixed and there are 13 other jobs can be arranged.

Hence, the number of possible ways of case 1 = 13!

Case 2: job B is the last in the queue order.

Similarly, in this case, the position of job B is fixed and there are 13 other jobs can be arranged.

Hence, the number of possible ways of case 2 = 13!

Case 3: job A is the first in the queue order or job B is the last in the queue order.

In this case, 2 positions are fixed, while the other 12 queue positions need to be arranged.

Hence, the number of possible ways of case 3 = 12!

Notice, that case 3 is a subset of case 1 and case 2. Hence,

total possible ways = possible ways of case 1 + possible ways of case 2 - possible ways of case 3

total possible ways = 13! + 13! - 12!

                                = 2 x 13! - 12!

                                = 11,975,040,000

Hence, the jobs can be ordered in (2 x 13! - 12!) ways or 11,975,040,000

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The required value of x is 2.5, such that the area of the filter is 0.

Jada is designing a rectangular water purification filter that will be available in various sizes. The area of the filter can be represented by the expression 2x² + 9x - 35. She needs to determine expressions to represent the dimensions of the filter, as well as values of "a" that result in an area of 0.

We will find the roots of the equation.

2x² + 9x - 35 = 0

We will use the quadratic formula.

x = [-b ± √(b² - 4ac)]/2a

x = [-9 ± √(9² - 4(2)(-35))]/2(2)

x = [-9 ± √(81 + 280)]/4

x = [-9 ± √(361)]/4

x = (-9 ± 19)/4

The values of the variable "x" are 2.5 and -7. The negative value is rejected because the dimensions cannot be negative. Hence the required value of x is 2.5, such that the area of the filter is 0.

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