SOLVE CORRECTLY FOR 83 POINTS AND BRAINLIEST

SOLVE CORRECTLY FOR 83 POINTS AND BRAINLIEST

Answers

Answer 1

The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)

How to Interpret Mathematical Transformations?

We are told that the triangle P'Q'R' has been transformed from triangle PQR.

Now, the coordinates of triangle PQR are;

P(-1, 1)

Q(2, 0)

R(-1, -2)

The coordinates of the transformed triangle P'Q'R' are;

P(-5/2, 5/2)

Q(5, 0)

R(-5/2, -5)

Thus, this is clear that the transformation rule used is;

(x, y) → (⁵/₂x, ⁵/₂y)

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Related Questions

Can someone please help me I need the ones that are ticked

Answers

Answer:

*Note: Perimeter is equal to the sum of all side lengths

1.   3cm + 3cm + 5cm + 4cm = 6cm + 9cm = 15cm

2.   3.5cm + 3cm + 3.5cm + 3.5cm + 3cm + 3.5cm

      = 6cm + 7cm + 7cm = 6cm + 14cm = 20cm

3.   2cm + 3cm + 3cm + 3cm + 5cm + 6cm = 5cm + 6cm + 11cm

      = 11cm + 11cm = 22cm

7.   9cm + 9cm + 9cm = 27cm

8.   Perimeter of a rectangle = 2 times the length plus 2 times the width

     P = 2(60m) + 2(48m) = 120m + 96m = 216m

9.   1 roll of 16m of wire = $3,214

     216m/16m = 13.5 rolls of wire

     13.5 rolls($3,214) = $43,389

Write the following as an inequality.
8 is greater than x, and x is greater than 2.
use x only once in your inequality

Answers

Using x only once in the inequality, the inequality expression is 8 > x > 2

How to determine the inequality expression?

The mathematical statement is given as

8 is greater than x, and x is greater than 2.

In mathematical expressions, greater than can be represented as >

So, we have the following representations

8 > x, and x > 2

Next, we combine the inequality expressions

This becomes

8 > x > 2

Hence, the inequality expression is 8 > x > 2

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Write the equation in standard form using integers

(no fractions or decimals): y= -2/3 x-1

Answers

The standard form of the equation y = -2/3 x - 1 is 2x + 3y = -3.

How to write linear equation in standard form?

The standard form for linear equations in two variables is Ax + By = C. Where,

A, B and C are constant.x and y are the variables.

The equation is represented in slope intercept form. So, let' represent it in standard form.

Therefore,

y = - 2 / 3 x - 1

add 2 / 3 x to both sides of the equation

y = - 2 / 3 x - 1

y + 2 / 3 x  = - 2 / 3 x + 2 / 3 x - 1

y + 2 / 3 x  = - 1

Let's multiply all through by 3 to eliminate the fraction

y + 2 / 3 x  = - 1

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

Therefore, the standard form equation is 2x + 3y = -3

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Q8.
The area of this rectangle is 28 cm²
(x+2)cm
(x+2)cm
(6x-1)cm
(6x-1)cm

Work out the perimeter of the rectangle.

Answers

(X+2)(6X-1)=28, 6X^2-X+12X-2=28

6X^2+11X-2-28=0, 6X^2+11X-30=0

(6X+20)(6X-9)=0

(3X+10)(2X-3)=0

X = -10/3, X = 3/2 cm, , so length is 8 cm and width is 3.5 cm. Perimeter is (8+3.5)×2= 23 cm.

2. If m angle EFD = 75°, then m angle JAB = ??
C
B
A
1.
2.

Answers

Answer:

If m angle EFD = 75°, then m angle JAB = ??

C

B

A

1.

2.

An arithmetic sequence has this recursive formula: What is the
explicit formula?

Answers

Answer:

the correct answer is -32+43

Step-by-step explanation:

I just know


The perimeter of an isoceles triangle is 392cm and its unequal sides are 195 cm.Find the area

Answers

9,603.75 cm² is the area of the given triangle.

What are triangles?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. △ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane. Equilateral, isosceles, scalene and right-angled triangles are the four different forms of triangles.

So, the perimeter of the triangle is 392 cm.

The unequal side is 195.

Then, let the rest 2 sides be x, where x = x.

x + x + 195 = 3922x + 195 = 3922x = 392 - 1952x = 197x = 197/2x = 98.5

Now, we know that the rest 2 equal sides are of length 98.5 cm.

Area of triangle: 1/2 × base × height

Now, calculate the area as follows:

1/2 × base × height1/2 × 98.5 × 1951/2 × 19,207.59,603.75

Therefore, 9,603.75 cm² is the area of the given triangle.

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I need help please!!!!!!

Answers

Answer: -1

Step-by-step e

slope is -1, i don’t know how to explain it, it is kind of hard.

Does each pair of expressions form an equation when joined with an equals sign?

Answers

Solving each pair of expression shows that

(1/5)^2 + 1 ≠ 2 * 12 / 25

( 1 + 1/4 )^2 = 2 - 7/16

Analysis of the expression

Putting equals sign implies that the the expression in left hand side of the equation is equal to the expression on the right hand side

If they are not equal the sigh to be used is not not equal to

(1/5)^2 + 1 & 2 * 12 / 25

1/25 + 1 & 24/25

26/25 ≠ 24/25

( 1 + 1/4 )^2 & 2 - 7/16

(5/4)^2 & 25/16

25/16 = 25/16

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Name the postulate or theorem that proves the pair of triangles is congruent. List the vertices of the congruent tri-
A
B
с
D
E
F
Y
AABC Ayxz by the AAS Postulate/Theorem.
X
i
Z
G
H

Answers

Answer:1712

Step-by-step explanation:  is 1712

A regulation baseball field measures 90 feet between each base what is the distance around the bases in yards

Answers

The distance around the bases in meters will be 27.432 meters.

How many meters are in 1 feet?

In one feet there are 0.3048 meters.

Given is a baseball field measures 90 feet between each base.

Distance between each base in feet = [d] = 90 feet

The distance between each base in meters will be -

D [meters] = 90 x 1 ft

D [meters] = 90 x 0.3048 meters

D [meters] = 27.432 meters

Therefore, the distance around the bases in meters will be 27.432 meters.

Tariq is going to invest in an account paying an interest rate of 5.8% compounded quarterly. How much would Tariq need to invest, to the nearest hundred dollars, for the value of the account to reach $600 in 20 years?

Answers

The amount to be invested today in order to have $600 in 20 years is $189.66.

How much should be invested today?

When an account pays interest that is compounded quarterly, it means that both the amount invested and the interest that has already been earned increases in value four times in a year.

In order to determine the amount to be invested today, determine the present value of $600.

The formula for calculating present value:

P = FV / [(1 + r)^nm]

Where:

FV = Future value P = Present value R = interest rate = 5.8 / 4 = 1.45% m = number of compoundingN = number of years

P = 600 / [(1.0145)^80] = $189.66

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Answer: it is 200

Step-by-step explanation:

Statements 1 and 2 are true conditional statements.

Statement 1: If a figure is a parallelogram, then it is a quadrilateral.

Statement 2: If a figure is a quadrilateral, then its angles sum to 360°.

Which conclusion is valid?

Multiple choice question.

A)
If Figure A is a quadrilateral, then Figure A is a parallelogram.


B)
If Figure A is not a parallelogram, then Figure A’s angles do not sum to 360°.


C)
If Figure A’s angles do sum to 360°, then Figure A is a parallelogram.


D)
If Figure A is a parallelogram, then Figure A’s angles sum to 360°.

Answers

The valid conclusion about statement A and statement B is "If Figure A is a parallelogram, then Figure A’s angles sum to 360°".

The correct answer option is option D.

What is conditional statement?

A conditional statement can be defined a statement that is written in the form “If A then B,” where A and B are sentences.

For this conditional statement:

Sentence A is called the hypothesis

Sentence B is called the conclusion.

Hypothesis: This is an assumption taken to be true for the purpose of argument or investigation.

Conclusion: This is the proposition that follows as a necessary consequence of the premises in an argument or syllogism.

Hence, “If A then B” means that B must be true whenever A is true.

Therefore, if a figure is a parallelogram, then it is a quadrilateral; If a figure is a quadrilateral, then its angles sum to 360°.

It can be concluded that if a figure is a parallelogram, then it's angles must sum to 360°.

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HELP MEEE 10x= 13 WHAT IS THE VALUE OF x

Answers

Answer:

Step-by-step explanation:

1.3

10/13=1.3

Answer:

[tex]\boxed{\sf \boxed{\sf x=\cfrac{13}{10}}\:or\: \boxed{\sf x=1.3}}[/tex]

Step-by-step explanation:

[tex]\sf 10x= 13[/tex]

Divide both sides by 10:-

[tex]\sf \cfrac{10x}{10}=\cfrac{13}{10}[/tex]

Simplify:-

[tex]\sf x=\cfrac{13}{10}[/tex]

____________________

Hope this helps!

Have a great day!

WILL GIVE BRAINLIEST
A farmer has 300 yards of fencing. He is trying to figure out how to build his fence so that he has a rectangle with the greatest square footage inside. What are the side lengths of the fence he can build with the greatest area inside?


60 yards and 60 yards

60 yards and 75 yards

75 yards and 75 yards

75 yards and 80 yards

Answers

The side lengths of the fence he can build with the greatest area inside are of:

75 yards and 75 yards.

What are the area and the perimeter of a rectangle?

Considering a rectangle of length l and width w, we have that the area and the perimeter of the rectangle are given as follows:

The area is given by the multiplication of the dimesions, that is, A = lw.The perimeter is given by twice the sum of the dimensions, that is, P = 2(l + w).

A farmer has 300 yards of fencing, hence the perimeter is:

P = 300.

Then:

2(l + w) = 300

l + w = 150

l = 150 - w.

Then the equation giving the area of the fence is:

A = lw

A = w(150 - w)

A = -w² + 150w.

Which is a quadratic equation with coefficients given by:

a = -1, b = 150.

The width that will give the highest possible area is the x-coordinate of the vertex, hence:

w = -150/(2(-1)) = 75 yards.

The length is of:

l = 150 - w = 150 - 75 = 75 yards.

Which means that the third option is correct.

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Subtract. Put you answer in lower terms.

47/50 - 3/10

A. 44/40

B. 32/50

C. 13/60

D. 16/25

Answers

The required simplified solution of the given subtraction is 16/25. Option D is correct.

Given that,
To Subtract. and determine the lower terms,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 47/50 - 3/10
= [47 - 3×5] / 50
= [47 - 15] /50
= 32 / 50
= 16 / 25

The required simplified solution of the given subtraction is 16/25. Option D is correct.

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Answer:

d) 16/25

Step-by-step explanation:

The problem is,

→ (47/50) - (3/10)

Let's solve the problem,

→ (47/50) - (3/10)

→ (47/50) - (15/50)

→ (47 - 15)/50

→ 32/50

→ (32 ÷ 2)/(50 ÷ 2)

→ 16/25

Hence, answer is 16/25.

What is the slope NEED HELP PLEASEEEEEEEE

Answers

The slope of the graph above is [tex]-\frac{4}{3}[/tex]

How to find the slope of a line?

The slope of a line is the change in the dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Hence, using the coordinates on the graph let's find the slope of the graph.

(-2, 1)(1, -3)

Therefore,

x₁ = - 2

x₂ = 1

y₁ = 1

y₂ = - 3

Hence,

[tex]slope = \frac{-3-1}{1-(-2)}[/tex]

[tex]slope = \frac{-4}{1+2}[/tex]

[tex]slope = \frac{-4}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{4}{3}[/tex]

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Help me please this is my final question involving this method (maybe)



100 Points

Answers

Answer:

(-1,3)

Step-by-step explanation:

x+4y=11

 -4y.  -4y

x=11-4y

3(11-4y)+5y=12

33-12y+5y=12

33-7y=12

-33.    -33

-7y=-21

/-7.  /-7

y=3


x+4(3)=11

x+12=11

-12.  -12

x=-1

Hopes this helps please mark brainliest

Answer:

x= −1 and y= 3

Step-by-step explanation:

Step One: Rewrite Equations

x+ 4y = 11

3x +5y = 12

Step Two: Solve x +4y = 11 for x:

x +4y = 11

x +4y + −4y = 11 + −4y (Add -4y to both sides)

x = −4y +11

Step Three: Substitute −4y +11 for x in 3x +5y = 12:

3x +5y = 12

3(−4y +11) +5y = 12

−7y +33 = 12 (Simplify both sides of the equation)

−7y +33 +−33 = 12 +−33(Add -33 to both sides)

−7y = −21

(-7y/-7) = (-21/-7) (Divide both sides by -7)

y = 3

I sincerely hope this helped you, good luck on your assignment!

What is the greatest number of rectangles 6 cm x 4cm that can be cut from a piece of metal that measures 16 cm x 20 cm?

Answers

The greatest number of rectangles 6cm×4cm that can be cut from a metal that measure 16cm×20cm is 13 rectangles.

What is a rectangle?

A rectangle is a plane shape that has pair of opposite sides equala and parallel.

To calculate the greatest number of rectangles, we use the formula below.

Formula:

n = LW/lw.................... Equation 1

Where:

n = Number of rectangleL = Lenght of the metalW = Width of the metall = Length of the small rectanglew = Width of the small rectangle

Ferom  the question,

Given:

L = 20 cmW = 16 cml = 6 cmw = 4 cm

Substitute these values into equation 1

n = (20×16)/(6×4)n = 13.33n ≈ 13 rectangles.

Hence, the greatest number of rectangles is 13 rectangles.

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using a similar argument to solve teh hw problem 1, show that if a is an integer, then 7 divides a^7 -a

Answers

The expression a⁷- a is divisible by 7 if a is an integer.

Given that,

7 divides a^7−a

To find that if a is an integer, then 7 divides a^7 -a or a⁷- a is divisible by the number 7

We can write, where k is an integer

a^7−a=7k

a(a^6−1)=7k

Now if a=k then

a^6−1=7

a^6=8

and a=±1.414 so a^7−a=9.898

If a is not equal to k then

a(a^6−1)=a(a^3+1)(a^3−1)=7k

since a(a+1)(a−1) is the not product of 3 consecutive integers, the expression is divisible by 7.

Hence, The expression a⁷- a is divisible by 7 if a is an integer.

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At the beginning of spring, Sophia planted a small sunflower in her backyard. When
it was first planted, the sunflower was 25 inches tall. The sunflower then began to
grow at a rate of 3 inches per week. How tall would the sunflower be after 9 weeks?
How tall would the sunflower be after w weeks?
Height after 9 weeks:
Height after w weeks:

Answers

The height of the sunflower after 9 weeks is 52 inches and the function that represent the height of the sunflower after w weeks = 25 + 3w weeks.

Sophia planted a tiny sunflower in her backyard at the start of spring.

When she planted the sunflower,

The height of the sunflower = Initial height of the sunflower = 25 inches.

Now, The sunflower then began to grow at a rate of 3 inches per week.

Thus, the growth rate of the sunflower = 3 inches/week

The growth in 9 weeks = 3*9 = 27 inches,

The height of the sunflower after 9 weeks = initial height + growth = 25 +27 = 52 inches.

The growth in w week = 3w inches,

The height of the sunflower after w weeks = initial height + growth = 25 + 3w inches.

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3-6n-4<17
What is the Answer for this??

Answers

Answer:

-6n-4+3<17

-6n-1<17

-6n<17+1

-6n<18

DIVIDE BOTH SIDE WITH THE COEFFICIENT OF n WHICH IS (-6)

-6n =18

-6 -6

n= -3

Select the correct answer.

What is the inverse of function f?

f(x)=10 9x+11


A.f−1(x)=9x+11 /10

B. f−1(x)=9 10x+11

C. f−1(x)=9x−99 /10

D. f−1(x)=10x−110/ 9

Edmuntem btw
PLEASEEE ANSWERRRRR ASAP!!!!

Answers

The inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

From the question, we have

f(x) = ( 10/9x) + 11

x = ( 10 / 9y ) + 11

x - 11 = ( 10 / 9y )

9y / 10 = ( 1 / ( x - 11 )

9y = 10 / ( x - 11 )

y = ( 10 ) / ( 9x - 99 )

Inverse function :

The expression that established the relationship between the dependent variable and the independent variable is referred to as a function. An inverse function is a function that is applied to the value of y after switching the values of two variables, x and y.

Complete question:

What is the inverse of function f?

f(x) = 10/9x+11

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Hi! I can’t seem to figure out this proof can anyone help me? I tried labeling the sides and angles.

Answers

Answer:

3. line XZ is congruent to line XZ | reflexive property
4. triangle WXZ is congruent to triangle YZX | HL (i think)
5. angle WXZ is congruent to angle YXZ | CPCTC

Step-by-step explanation:

what is the image point of (0, 2) after a translation left 5 units up to 1 units

Answers

The image of the given point after the translation will be (-5,1).

The given point is (0,2).

We have to find out the image of the given point after a translation left 5 units and up to 1 units.

Since it is given that there is a translation left 5 units, starting from point (0,2), the image will be on the negative side of x-axis at point 3.

Similarly, it is given that there is also a translation up to 1 units. This implies starting from point (0,2), the image will be on the positive side of y-axis at point 1.

So, the image of the given point after the translation will be (-3,1).

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what does the solution of equality look like?

Answers

Answer:no image I can’t see on mobile

Step-by-step explanation:

h

What number (let's call it x ) must be added to the numerator and denominator of the fraction 6/29 so that the new fraction is equal to 2/3 ?

Answers

Answer:

add 54 to the numerator and 61 to the denominator because after you add it the fraction, it should be 60/90: simplified to 2/3 if you divide the numerator and denominator by 30.

The number that must be added to the numerator and denominator is 40.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction = 6/29

The new fraction = 2/3

Now,

(6 + x)/(29 + x) = 2/3

3(6 + x) = 2(29 + x)

18 + 3x = 58 + 2x

3x - 2x = 58 - 18

x = 40

Thus,

The number x is 40.

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the angle measures of a quadrilateral are in a ratio of 4 : 5 : 6 : 9. find the measure of the smallest angle.

Answers

The measure of the smallest angle of the quadrilateral is  60° .

In the question ,

it is given that ,

the angle measure of the quadrilateral are in the ratio 4 : 5 : 6 : 9 .

So , the measure of the largest angle is = 9x

and the measure of the smallest angle is = 4x .

we know that the sum of the measure of all the angles of the quadrilateral is 360° .

that means ,

4x + 5x + 6x + 9x = 360°

24x = 360

dividing both sides by 24 ,

x = 360/24

x = 15 .

the smallest angle is = 4(15) = 60°

Therefore ,  The measure of the smallest angle of the quadrilateral is  60° .

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Your mother made some pumpkin cookies and put half of them on a
plate for your brother and you. Your dog Gobbles ate six! Your
brother ate half of what was left, and you ate the last four.
How many cookies did your mother bake altogether?

Answers

The total cookies she baked altogether is 28 cookies

What are word problems?

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

Half of the cookies is placed on the table, 6 is eaten by my dog, half is eaten by my brother and I ate the last 4, the means my brother ate 4 cookies too.

Therefore the total cookies put on the plate is 6+4+4= 14cookies

half of all the cookies were put in the plate,

therefore the total cookies made is 14×2= 28cookies.

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Can you help me PLEASE,

Answers

The answers are:

Q1 = x < -1

Q2 = x ≤ 2

Q3 = x > -2

Q4 = x > 0

Code = 4776

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Solve for x.

3 < -5x + 2x

3 < -3x

Divide both sides by 3.

1 < -x

Change sign.

x < -1

18 ≥ 5x  + 4x

18 ≥ 9x

Divide both sides by 9.

2 ≥ x

-6x - 16 < 2x

Add 16 on both sides.

-6x < 2x + 16
Subtract 2x on both sides.

-6x - 2x < 16

-8x < 16

Divide both sides by 8.

-x < 2

Change sign.

x > -2

(1/2)x - 4 > -4

1/2x > -4 + 4

1/2x > 0

x > 0

Code = 4776

Thus,

The answers are:

Q1 = x < -1

Q2 = x ≤ 2

Q3 = x > -2

Q4 = x > 0

Code = 4776

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In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution. According to the pm essential skills video case, project managment is all about what?. HELP ITS DUE TODAYIn Catalhoyuk, archaeologists found a painting of a large red bull with smaller humans around it. They have a theory that the bull may have had some religious significance. Which of these statements is LEAST likely to support the argument that the bull could have had religious significance?1:The bull may represent a male deity or serve as a symbol of strength.2:The paintings found in the excavated settlement were created on plaster walls, and a new layer of plaster was applied if a change was made to the painting.3:Archaeologists found bull skulls and horns in some of the religious shrines of the now-ruined settlement.4:Archaeologists were not able to find images of reindeer in the Lascaux caves. Match the activity to its climate effecta. Decreased sunspot activityb. Increased snow and ice cover on Earthc. Release of CO2 and CH4 into the atmosphered. Large volcanic eruptions1. Climate cools slightly2. Increased albedo makes a cooler climate3. More greenhouse gases tend to warm the planet4. Ash and dust block sunlight, resulting in cooling Which concluding statement ,begin emphasis,best,end emphasis, follows the argument presented in the essay? No matter what they do, artists should be allowed to create.2. Artists, unlike other professionals, offer a community many unique things.3. Consequently, artists can push us to ask deeper questions through their art.4. It is time, therefore, to treat this career with the respect and honor it deserves. 6. If displacement of a particle is zero, the distance covered bya.may or may not be zerob.must be zeroc.must not be zerod. Must be unity 100 POINTS HELP PLEASEEEE!!!!!! BRAINLIEST TO BEST ANSWER3 skulls2 tibiae (left)4 hip bones (called os coxae) (1 right and 3 left)6 femora (4 right and 2 left)2 humeri (right)5 scapulae (3 right and 2 left)2. Which of the bones in the collection belong to the axial skeleton? Which belong to the appendicular skeleton? how many pgal molecules will it take to make one molecule of glucose See #17 Given that RQ=TQ, Angle QSR=(9a+48) and Angle QST=(6a+50), find Angle QST [tex]\sqrt{3^{4} +6^{2}[/tex] On July 1 2019, crane company purchased new equipment for $75,000. Its estimated useful life was 5 years with a $8000 salvage value. On December 31,2022, the company estimated that the equipment's remaining useful life was 10 years with a revised salvage value of $5000 34 POINTS!! ANSWER FOR BRAINLIST AND SHOW YOUR WORK FOR HEARTS!! Part 1 Questions1. You have a battery and a light bulb. What else must you have to complete the circuit to light the bulb. Why is this component necessary?2. How is a parallel circuit different from a series circuit? Provide an example to support your statement.3. What is the role of resistance in an electrical circuit? Provide an example to support your statement.4. Ohms law is represented by the following equationI= V/RExplain how the current would change if the amount of voltage increased, but resistance stayed the same. Which of these is a preposition in this sentence?Dolly cut the cake with a knife, so everyone could have a piece. What is the SECOND major step?O Revising and editingO Writing a rough draftO Organizing your essayO Generating ideas and choosing strategies PLSS help its math if m I need to know the answer for number 15 and 16 please give correct answers only What are the advantages and disadvantages of privatizing jails, public schools, military aircraft maintenance, state welfare agencies, and state employment agencies?. Explain how the distances between particles in a solid, liquid, and a gas help determine the desitys of each. Taylor is older than Julian. Their ages are consecutive even integers. Find Taylor's age if the sum of Taylor's age and 4 times Julian's age is 132.