I need help from anyone!

I Need Help From Anyone!

Answers

Answer 1

Answer:

h = 10.0708 cm

Area of shaded region = 8.1841 [tex]cm^{2}[/tex]

Step-by-step explanation:

r = radius of circle

 = 14 cm

h = perpendicular height of triangle

Use SinФ trigonometric function to determine h

SinФ = [tex]\frac{Opposite}{Hypotenuse}[/tex]

Sin46° = [tex]\frac{h}{14}[/tex]

Cross-multiplication is applied:

∴h = (14)(Sin46°)

   h = 10.0708 cm (Rounded to four decimal places)

Area of sector = [tex]\frac{AngleOfSector}{360^{o}}[/tex] × ([tex]\pi r^{2}[/tex])

                         = [tex]\frac{46}{360}[/tex] × [tex]\pi (14^{2})[/tex]

                         = [tex]\frac{9016}{360} \pi[/tex] [tex]cm^{2}[/tex]
                       
 = 78.68 [tex]cm^{2}[/tex]


Area of triangle =
[tex]\frac{1}{2}[/tex] × (Base of triangle) × h

                           = [tex]\frac{1}{2}[/tex] × (14 cm) × [(14)(sin46°)]
                           = (98)(sin46°)

                           = 70.50 [tex]cm^{2}[/tex]

Area of yellow shaded region = Area of sector - Area of triangle

           = {[[tex]\frac{9016}{360} \pi[/tex]] - [(98)(sin46°)]} [tex]cm^{2}[/tex]

           = 8.1841 [tex]cm^{2}[/tex]  (Rounded to four decimal places)


Related Questions

-8a+32b in distributive property

Answers

-8a + 32b using the distributive property as 8(-a + 4b).

What is Expression?

An expression is combination of variables, numbers and operators.

To express -8a + 32b using the distributive property, we need to factor out the greatest common factor that the terms share.

The greatest common factor of -8a and 32b is 8.

-8a + 32b

= 8(-a + 4b)

Using the distributive property, we can check that this expression is equivalent to the original:

8(-a + 4b) = 8(-a) + 8(4b) = -8a + 32b

Therefore, we can express -8a + 32b using the distributive property as 8(-a + 4b).

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What is 4x + 11 < -21 on a number line

Answers

Answer: x <- -8

x is less than negative eight.

Step-by-step explanation:

First, subtract 11 from both sides. Then divide both sides by 11. The arrow should be open and pointing to the left.

Answer:

x <- -8

Step-by-step explanation:

Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z). Ex: if the input is: 3. 6 4. 5 2. 0 the output is: 12. 96 1. 841304610218211e11 4. 5 16. 2.

Answers

The absolute value of y, and the square root of (xy to the power of z) is [tex]xy^{z}[/tex]

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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What is the y=mx+b formula for these points: (67,67), (65,65), (63,63), (69,69), (57,57), (65,65), (68,66), (48,48), (72,72)?

Answers

The y = mx + b formula for these points is y = 2x - 67.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (67, 65).Points on y-axis = (67, 65).

At point (67, 67), a linear equation of this line can be calculated in slope-intercept form (y = mx + b) as follows:

y - 67 = (65 - 67)/(65 - 67)(x - 67)

y - 67 = 2(x - 67)

y = 2x - 134 + 67

y = 2x - 67

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Where can the bisectors of the angles of an obtuse triangle intersect?

Answers

Answer: Hello! I'm JK!.....

B. I Only. (inside the triangle)

Step-by-step explanation:

I really hope this helps you.  XoXoGoldenMaknae <3

True or False? All of these figures are similar

Answers

Answer:

True

Step-by-step explanation:

They Are all Equal and The Same By the Degrees and Angles and Numbers

There's a 30% chance of it raining each day in Narnia. On how many days would you expect it to rain during your visit there that lasts 110 days?

Answers

Answer:

Step-by-step explanation:

Since there is a 30% chance of rain on any given day, there is a 70% chance that it will not rain on a given day.

To calculate the expected number of days it will rain during your visit, we can use the formula:

Expected number of rainy days = total number of days * probability of rain

Expected number of rainy days = 110 days * 0.3 = 33 days

Therefore, we can expect it to rain on approximately 33 days during a 110-day visit to Narnia.

Can someone help me out with this? I haven't had any time to catch up on math work lately... It would be greatly appreciated.

Answers

Answer:8

Step-by-step explanation:

6. Find the area and perimeter of the following figure.
3 5/6
4 4/3
3

Answers

The area is 5.627 square units and the perimeter is 12.167 units of the given figure.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

perimeter of the given figure = 3 5/6 + 4 4/3 + 3

perimeter of the given figure = 12 1/6 = 73/6 = 12.167 units

Area of triangle = √[s(s – a)(s – b)(s – c)],

where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of the three sides of the triangle.

According to the given question, we have

a = 3 5/6

b = 4 4/3

c = 3

s = (3 5/6 + 4 4/3 + 3)/2 = 12.167/2 = 6.083

Substitute the values in the area formula, and we get

Area of triangle = √[6.083(6.083 – 3 5/6)(6.083 – 4 4/3)(6.083 – 3)]

Area of triangle = 5.627 square units

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The question seems incomplete, the missing figure has been attached below.

For what interval is f(x)=2x+10 positive?

Answers

Answer:

[tex]x>-5[/tex]

Step-by-step explanation:

[tex]2x+10>0 \implies 2x>-10 \implies x>-5[/tex]

What is the cost and area of the mat

Answers

1. The area of the mat is 1 in² and the cost is $0.05

2. The area of the mat is 4 in² and the cost is $0.2

What is area ?

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

The area of a square = l²

1. the area = 1×1 = 1 in²

since $0.05 is the cost per in²

therefore the cost of the mat is $0.05

2. the area = 2× 2 = 4 in²

therefore the cost = 4 × 0.05

= $0.2

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A boat leaves the dock and travels 10 miles due south, then 24 miles due west. How far is the boat from the dock? Boat 24 mi OA. 676 mi OB. 14 mi OC. 34 mi O D. 26 mi Dock 10 mi​

Answers

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A boat leaves the dock and travels 10 miles due south, then 24 miles due west.

Then the distance from the boat to the dock is given as,

d² = 10² + 24²

d² = 100 + 576

d² = 676

d = 26 miles

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

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I need to find the table for a parabola and the equation is
y=-2x^2+8x

Answers

The table for the parabola is

x y

-2 24

0 0

2 8

4 0

6     -24

How to create the table for the parabola

To create a table for a parabola with equation y = -2x^2 + 8x, we can simply plug in values of x and solve for y.

with x-values from -2 to 6,:

For x = -2, y = -2(-2)^2 + 8(-2) = -24

For x = 0, y = -2(0)^2 + 8(0) = 0

For x = 2, y = -2(2)^2 + 8(2) = 8

For x = 4, y = -2(4)^2 + 8(4) = 0

For x = 6, y = -2(6)^2 + 8(6) = -24

To plot the parabola on a graph, we can plot the points from the table and draw a smooth curve through them. The graph of y = -2x^2 + 8x looks like a downward-facing parabola with its vertex at the point (2, 8).

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What is the sum of the 10th square number
and the 9th square number?

Answers

The sum of the 10th square number and the 9th square number is, 181

What is the squaring of numbers ?

A number is multiplied by itself when it is squared. For instance, when you square the number 3, you get the result 9 (3 x 3). Superscript "2" is the symbol for squaring a number. For instance, 32 = 9 can be used to represent the square of 3.

Numerous crucial mathematical properties and applications of squaring a number can be found in number theory, algebra, and geometry. Squaring, for instance, can be used to solve quadratic equations or to determine the area of a square, the distance between two points, or both. A number's ability to form a perfect square can also be determined by squaring it.

The 10th square number is 10² = 100

and the 9th square number is 9² = 81.

So, the sum of the 10th square number and the 9th square number is:

= 100 + 81

= 181

Therefore, the sum of the 10th square number and the 9th square number is 181.

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What are the basic means of differentiation?

Answers

In mathematics, differentiation refers to the process of finding the derivative of a function. The basic means of differentiation include:

Limit definition: The derivative of a function is defined as the limit of the difference quotient as the interval over which the quotient is taken approaches zero.

Power rule: The derivative of a function of the form f(x) = xⁿ is given by f'(x) = nx⁽ⁿ⁻¹⁾

Product rule: The derivative of a product of two functions u(x) and v(x) is given by (u × v)'(x) = u'(x) × v(x) + u(x) × v'(x).

Quotient rule: The derivative of a quotient of two functions u(x) and v(x) is given by (u/v)'(x) = [u'(x) × v(x) - u(x) × v'(x)] / v(x)².

Chain rule: The derivative of a composition of functions f(g(x)) is given by f'(g(x)) × g'(x).

These basic means of differentiation are essential tools for analyzing and modeling functions in calculus and related fields.

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A store bought shirts for $5.75 each. If they want
to make 65% profit on selling them what should
the selling price be?

Answers

The selling price of a shirt should be $8.97.

What is gain or profit?

The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.

Given that, a store bought shirts for $5.75 each and profit percent = 65%.

We know that, Selling price = (100+Profit%)/100 ×CP

Here, Selling price =(100+65)/100 ×5.75

= 1.56×5.75

= $8.97

Therefore, the selling price of a shirt should be $8.97.

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what is the image of (7,3)?

use the translation: T<3,-5>

HELP ASAP

Answers

The image of (7, 3) after a translation of T(3, - 5) would be at  (10, - 2).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A point has a coordinate of (7, 3).

We know, Translation shifts coordinate into the x-y coordinate.

Therefore, The image of (7, 3) after a translation of (3, - 5) would be,

(7 + 3, 3 - 5) which is now at (10, - 2).

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comment savoir si un graphique est proportionnelle ?

Answers

Answer:

Pour savoir si un graphique est proportionnel, il faut vérifier si les valeurs de la variable indépendante (l'axe des x) sont proportionnelles aux valeurs de la variable dépendante (l'axe des y). Cela signifie que si on multiplie les valeurs de la variable indépendante par un facteur constant, les valeurs de la variable dépendante seront également multipliées par ce même facteur constant.

Un moyen de vérifier si un graphique est proportionnel est de tracer une ligne droite à travers les points de données. Si tous les points se trouvent sur cette ligne droite, alors le graphique est proportionnel. Si les points ne se trouvent pas sur une ligne droite, alors le graphique n'est pas proportionnel.

Il est également possible de calculer le coefficient de proportionnalité en divisant chaque valeur de la variable dépendante par la valeur correspondante de la variable indépendante. Si le résultat est constant pour toutes les paires de valeurs, alors le graphique est proportionnel.

Enfin, il convient de noter que la proportionnalité n'est qu'un type de relation entre deux variables et que d'autres types de relations peuvent exister, tels que les relations exponentielles, logarithmiques ou quadratiques.

Step-by-step explanation:

The scores from a 20 point algebra quiz are shown.
7, 9, 10, 12, 13, 15, 17, 18, 19, 20

The percentile of a test score can be defined as the percent of test scores less than or equal to that test score

Use this definition to find the percentile of the test score 12

The test score 12 is at the ___th percentile

Answers

The test score of 12 is at the 40th percentile.

What is a percentile?

A Percentile divides a data set into the 100 equal parts. A percentile is a measurement that tells us what percent of the total frequency of a data set was at or below that measure.

From the question,

The test score of 12 is less than or equal to 7, 9, 10, 12, so 4 out of the 10 scores are less than or equal to 12.

So, the percentile of the test score 12 can be calculated as:

Percentile = (number of scores less than or equal to 12) / (total number of scores) x 100

percentile = (4) / (10) x 100

percentile = 40

Hence, the test score of 12 is at the 40th percentile.

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What is equation of a semicircle?

Answers

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

What is the equation of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation of the semicircle upper side of the x-axis will be given as,

(x - h)² + (y - k)² = r²

x - h = √[r² - (y - k)²]

x = √[r² - (y - k)²] + h

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

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This table shows a linear function.

x y
-1 7
0 5
1 3
2 1
3 -1

Based on the information given, how can you verify that the function is linear? Select all that apply. choices shown in image

Answers

Step-by-step explanation:

the 3rd, 5th and 6th answers are correct.

Answer:

3, 5, 6

Step-by-step explanation:

For every change in x of 1, there is a change in y of -2.

For an equation to be linear, equal changes in x must produce equal changes in y.

Since that is true here, it is a linear equation.

Point (0, 5) gives you the y-intercept, b = 5.

From (0, 5) to (1, 3), you can calculate the slope:

slope = m = (3 - 5)/(1 - 0) = -2

The equation is y = -2x + 5

The true statements are: 3, 5, 6

An employee put $7,000.00 in a retirement account that offers 5% interest compounded annually. The employee makes no additional
deposits or withdrawals. Which amount is closest to the interest the employees will have earned at the end of 4 years?
A
x B $7,350.00
1x C
$1,400.00
D
$1,508 54
$8,508.54

Answers

Answer:

$1508.54

Step-by-step explanation:

A = p(1 + [tex]\frac{r}{n}[/tex])^nt

A = 7000(1+ .05)^4

A = 7000(1.05)^4

A = 8508.54  This is the total amount (principle and interest

Subtract out the principle

8508.54 - 7000 = 1508.54

35 cm
What is the volume of the solid shown above?
1 cm
3 cm

Answers

The volume of the solid shown can be found to be 105 cm ³ .

How to find the volume ?

The volume of the solid can be found by the formula :

= Length x Width x Height

This is because this is a rectangular prism and their volumes require multiplying the sides of the rectangle in the above manner .

The volume of the solid is therefore:

= 35 x 1 x 3

= 35 x 3

= 105 cm ³

In conclusion, the volume of the solid would be 105 cm ³ .

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1) There are three consecutive positive integers, such that the largest
is 44 less than twice the smallest. What is the value of the smallest
of these three consecutive integers?

Answers

The three consecutive integers are 46, 47, 48.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

Let the three consecutive integers be represented as x,x+1,x+2

As per the requirement, largest integer is 44 less than twice the smallest.

=> x+ 2 = 2x -44

=> 2x -x = 2+44

=> x= 46

So the three integers are 46, 47, 48

Verification:

Largest integer = 48

Smallest integer = 46

2 * smallest integer - 44

= 2* 46 - 44

= 48

Largest integer is also 48.

So the required condition in the question is satisfied by these three integers.

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What is the area of a square with side lengths of 3/5

Answers

Answer: 0.36

Step-by-step explanation:

A=L*W

Since all sides of a square is the same you just do 3/5(3/5) which is 0.36 or 9/25

what is the definition of opposite rays in geometry

Answers

Answer:

Opposite rays point in opposite directions and therefore make a 180-degree angle with each other.

Step-by-step explanation:

if u and v are in r n , how are u t v and v t u related? how are uv t and vu t related?

Answers

They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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Agustín pagó $ 120 por una carpeta y dos paquetes de hojas; mientras que Mauricio pagó $ 190 por
costo de una carpeta y de un paquete de hojas. Después resuelve dicho sistema.
tres paquetes de hojas y dos carpetas. Plantea un sistema de ecuaciones que permita calcular el costo de una carpeta y de un paquete de hojas

Ayúdenme por favor

Answers

The cost of a folder is: $20

The cost of a package of sheets is $50.

How do we calculate cost of each folder and pack of sheets?

The system of equations with variables:

C: number of foldersQ: number of packs of sheets

Juan paid 120 pesos for a folder and 2 packages of sheets:

C + 2P = 120

Clearing C:

C = 120 - 2P

Manuel paid 190 pesos for 3 packages of sheets and 2 folders:

2C + 3P = 190

Substituting the "C":

2 * (120 - 2P) + 3P = 190

240 - 4P + 3P = 190

-P = 190 - 240

-P = -50

P = $50

The price for a folder is:

C = 120 - 2 * 50

C = $20

Translated question "Juan paid 120 pesos for a folder and 2 packages of sheets while Manuel paid 190 pesos for 3 packages of sheets and 2 folders.Calculate the cost of a folder and a package of sheets."

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Kaj observes a marble travel along a horizontal path at a constant rate. The marble travels 1/20 of the length of the path in 2 1/2 seconds. At that rate, how many seconds does it take the object to travel the full length?

Answers

It takes 50 seconds to travel the full length at the constant rate R.

How many seconds does it take the object to travel the full length?

Remember the relation between speed, distance and time:

distance = speed*time

Here we know that at a rate R (or speed S, these are equivalent) it moves (1/20) of the total distance D in (2 + 1/2) seconds, then we can write:

R*(2 + 1/2) = (1/20)*D

Now we only need to isolate D on the right side, to do so we need to multiply both sides by 20.

20*R*(2 + 1/2) = D

The time is:

20*(2 + 1/2) seconds

40 + 10 seconds

50 seconds

It takes 50 seconds to travel the full length,

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The points represented by the table lie on a line . Find the slope of the line x-1,1,3,5. Y 10, 5, 0,-5 m=

Answers

Answer: The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

We can choose any two points from the table to find the slope. Let's use the points (1, 10) and (5, -5):

m = (-5 - 10) / (5 - 1) = -15 / 4 = -3.75

So, the slope of the line represented by the table (x = 1, 3, 5, y = 10, 5, 0, -5) is -3.75.

Step-by-step explanation:

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apply formatting to a selected smartart graphic with options on the smartart tools design tab and this tab. Which component of the lymphatic systems consists of unencapsulated aggregates of lymphocytes within organs of the body?LymphLymphatic tissuesLymphatic organsLymphatic vessels If at most one electron is removed from any single atom, what percent of the atoms are ionized by this charging process?. What do AIDS stand for? Determine whether an interference pattern is observed on other side of the slits in each of the following experiments. a. An electron beam is aimed at two closely spaced slits. The beam is attenuated to produce only 1 electron per minute. b. An electron beam is aimed at two closely spaced slits. A light beam is placed at each slit to determine when an electron goes through the slit. c. A high-intensity light beam is aimed at two closely spaced slits. d. A gun is fired at a solid wall containing two closely spaced slits. Three positive integers are in a ratio of 3:4:7 and have a sum of 196. What is the smallest of the three integers?A. 36B. 56D. 42E. 39 the logical value true is treated the same as the text string true. Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a deviation of 15.The shaded area is 0.2525 17. When Molly stands in the center of the pool, she is exactly 5.25 feet from the edge in any direction. Calculate the area of the pool. How to say Xerona in English? 3 Cu + 8HNO3 --> 3 Cu(NO3)2 + 2 NO + 4 H2OIn the above equation how many grams of water can be made when 4 grams of HNO3 are consumed?Round your answer to the nearest tenth. If you answer is a whole number like 4, report the answer as 4.0Use the following molar masses. If you do not use these masses, the computer will mark your answer incorrect.:Element Molar MassHydrogen 1Nitrogen 14Copper 63.5Oxygen 16 What is happening after time (te)? there are three correct statements. [reactants] < [products] [a] + [b] = [cd] [products] remain constant. [a] + [b] remain constant. [reactants] > [products]. T/F ovulation occurs near the end of the ovarian cycle. neo-freudian theories of psychoanalysis such as those of karen horney and erik erikson differ from freuds em conceptualization in that they are less likely to emphasize what? what is the combining word part forms nato- and toci- literally means How many moles are in 1.204 x 1024atoms of zinc?[?] molesReport your answer with the appropriate number ofsignificant figures.Moles of ZincEnter By using your own data, search engines and other sites try to make your web experience more personalized. However, by doing this, certain information is being hidden from you. This process of choosing to show you only certain, custom information over others puts you in a what? f the following four solutions, which one has both the lowest freezing point and the highest boiling point? select an answer and submit. for keyboard navigation, use the up/down arrow keys to select an answer. a 1.0 m magnesium phosphate b 1.0 m sodium chloride c 1.0 m calcium chloride d 1.0 m aluminum nitrate match the part of the brain with the proper function or description. largest part, used for reasoning, memory, and voluntary responses (click to select) collection of myelinated axons which connect cerebral hemispheres (click to select) contains the thalamus and the region below it (click to select) ridge or convolution on surface of cerebrum (click to select) a shallow groove on the surface of cerebrum (click to select) a deep groove seen on the surface of brain separating the two cerebral hemispheres (click to select) comprised of the pons, midbrain, and medulla oblongata (click to select) coordination of posture, balance, and muscle movements (click to select) relays sensory information to the cerebral cortex (click to select) autonomic control center and links the brain to endocrine system (click to select) part of the brainstem with auditory and visual reflex centers (click to select) helps maintain breathing and connects to cerebellum (click to select) supports involuntary functions using respiratory, cardiac and vasomotor control centers (click to select) I NEED THIS DONE TODAY !!!!!!!!Electromagnetic Spectrum Lab ReportDestructions: In this virtual lab, you will use a virtual spectrometer to analyze astronomicalbodies in space. Record your hypothesis and spectrometric recular in the lab report below. Youwill submit your completed report to your butructor.Name and Title:Include your name, instru1and name of lab.Objectives (1):In your own words, what is the purpose of this lab?Hypothesis:In this section, please include the predictions you developed during your lab activity. Thesestatements reflect your predicted outcomes for the experiment.Procedure:The materials and procedures are listed in your virtual lab. You do not need to repeat them here.However, you should note if you experienced any errors or other factors that might affect youroutcome. Using your summary questions at the end of your virtual lab activity, please clearlydefine the dependent and independent variables of the experiment.Data:Record the elements present in each unknown astronomical object. Be sure to indicate "yes" or"no" for each element.Hydrogen Helium Lithium Sodiam CarbonMoon OneMoon TwoPlanet OnePlanet TwoNitrogenConclusion:Your conclusion will inchade a summary of the lab results and an interpretation of the results.Please answer all questions in complete sentences using your own words.1. Using two to three sentences, summarize what you investigated and observed in this lab2. Astronomers use a wide variety of technology to explore space and the electromagneticspectrum; why do you believe it is essential to use many types of equipment whenstudying space?3. If carbon was the most common element found in the moons and planets, what element ismissing that would make them splat to Earth? Explain why. (Hint: Think about thecarbon cycle)4.We know that the electromagnetic spectrum uses wavelengths and frequencies todetermine a lot about outer space. How does it help us find out the make-up of stars?5. Why might it be useful to determine the elements that a planet or moon is made up of?