12x3+4x3+3x+1 factor by grouping

Answers

Answer 1
(3x2 + 1) • (4x - 3)

I believe that is the answer, but please remember to try the question yourself! 

Related Questions

Keith had 694 green, yellow and blue marbles altogether. he had 3 times as many blue marbles as yellow marbles. there were 90 fewer green than blue marbles. how many blue marbles did Keith have?

Answers

let the number of blue marbles be x

number of yellow marbles = x/3

number of green = x- 90

ATQ

x + x/3 + x - 90 = 694

2x + x/3 = 784

(6x + x)/3 = 784

7x/3 = 784

x = 784 x 3/7

x = 112 x 3

x = 336

number of blue marbles = 336
Let [tex]g[/tex] the number of green, [tex]y[/tex] the number of yellow and [tex]b[/tex] the number of blue marbles respectively.

We have

[tex]g + y + b = 694[/tex] (we will call this equation 1)

Also, [tex]b = 3*y[/tex] (yellow marbles are three times as many as blue marbles), so equation 1 becomes

[tex]g + y + 3y = 694[/tex]

But, [tex]g = b - 90[/tex] (green marbles are as many as blue marbles - 90)
and because [tex]b = 3*y[/tex], we have that [tex]g = 3*y - 90[/tex]

So, equation 1 is now

[tex]3y - 90 + y + 3y = 694[/tex]
[tex]7y - 90 = 694[/tex]

We add 90 to both sides so

[tex]7y = 694 + 90 = 784[/tex]

We divide each side by 7, so finally

[tex]y = 112[/tex]

and we have

[tex]b = 3*y = 3*112 = 336[/tex]
and
[tex]g = b - 90 = 336 - 90 = 246[/tex]

To check if our results are correct, we can see that

[tex]g + b + y = 246 + 336 + 112 = 694[/tex],

so we are indeed correct.

what direction is 45 degrees in clockwise from due east?

Answers

Since you requested I answer this, I will do my best, but I'm not sure I can explain it well. 

45° clockwise from due east is just 45° from the east. Moving clockwise, which is the direction the hands of a clock move, you're going to the south, and since it's by 45°, you're halfway between east and south, so you're southeast.
Final answer:

A direction of 45 degrees clockwise from due east would put you in the South-East quadrant of a compass or geometric plane.

Explanation:

When discussing directions in terms of degrees, it's commonly understood with the idea of a compass rose or a unit circle in mind. Here, 'Due East' is represented as 0 or 360 degrees. A clockwise rotation would mean we are moving in a positive direction.

Therefore, if you start from Due East which is 0 degrees and rotate 45 degrees in the clockwise direction, you would end up in the south-east direction. This is because in the coordinate system, the +x direction is East and moving in the clockwise direction, the next quadrant would be the South-East quadrant. So, 45 degrees clockwise from due east would be considered as South-East direction on a compass rose or geometrically on a plane if you are looking at it in terms of degrees on a circle.

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An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered?

Answers

The area of one watered circle will be
.. A = π*r^2 = π*(25 ft)^2 = 625π ft^2

The area of 3 such circles will be
.. 3A = 3*625π ft^2 = 1875π ft^2
.. ≈ 5890 ft^2

Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to pointsdistance. the calculation is: distance=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√distance=(x2−x1)2+(y2−y1)2 you may declare additional variables. ex: for points (1.0, 2.0) and (1.0, 5.0), pointsdistance is 3.0.

Answers

For this case what you should know is that the distance between two points can be thought of as a line. To find the length of this line, you can use the formula:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]
 Example,
 for points (1.0, 2.0) and (1.0, 5.0):
 d: √ [(1 - 1) ^ 2 + (5 - 2) ^ 2]
 d: 3.0
 Answer:
 the distance between point (x1, y1) and point (x2, y2) is:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]

A retired couple invested $6000 in bonds at a simple interest rate of 5.1%. At the end of one year, how much interest did they receive on their investment? Please show your work.

Answers

if the interest rate is being paid yearly the:
[tex] \frac{5.1}{100} \times 6000 \\ = 0.051 \times 6000 \\ = 306 \\ 306 + 6000 = 6306[/tex]
they have received $306

The retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the simple interest earned by the retired couple on their investment of $6000 at a rate of 5.1% for one year

we can use the formula: I = P × r × t

where I is the simple interest,

P is the principal (the amount invested),

r is the interest rate (as a decimal), and

t is the time period (in years).

Plugging in the given values, we get:

I = 6000 × 0.051 × 1

I = 306

Therefore, the retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.

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Can someone help with this question please?

Answers

x= total pounds bagged

Multiply the number bagged by the number of pounds of each bag.

x= (5 * 1/4 lb) + (2 * 1/2 lb)
x= [(5*1)/4] + [(2*1)/2]
x= 5/4 + 1
convert fraction to mixed number
x= 1 1/4 + 1
x= 2 1/4 total pounds bagged

ANSWER: Libby bagged 2 1/4 pounds of crackers.

Hope this helps! :)

Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅ 4) = (3a ⋅ 4) ⋅ 5 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 5(3a ⋅ 4) = 5 ⋅ 3a ⋅ 4 6

Answers

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

[tex](x+y)+z=x+(y+z)[/tex]

and for the multiplication by:

[tex](xy)z=x(yz)[/tex]

Now, let:

[tex]x=5\\y=3a\\z=4[/tex]

Using the Associative Property of Multiplication:

[tex](xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)[/tex]

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Answer: C

Step-by-step explanation: Sorry If I am wrong, ty!!

-☈⊙⌘☿

What is the distance between (-6,8) and (-3,9)

Answers

[tex]d= \sqrt{(-3-(-6))^2+(9-8)^2}= \sqrt{9+1}= \sqrt{10} [/tex]

Answer:10

Step-by-step explanation:I seen the answer

Find the area of a parallelogram with base b and height h. B= 74cm H=14.8 cm

Answers

the area is1,095.2cm

General Idea:

The formula to find the area of parallelogram is given below:

[tex] Area \; of\; the\; parallelogram=BASE \times HEIGHT\\ \\ [/tex]

Applying the concept:

Given, [tex] BASE\; (B)= \; 74\; cm\\ HEIGHT \;(H)=14.8 \;cm\\\\ Area \; of \; the \; Parallelogram = 74 \; cm \times 14.8 \; cm = 1095.2 \; cm^{2} [/tex]

are the fractions 1/2 and 1/8 equivalent fractions

Answers

Hello there,

1/2 and 1/8 are not equivalent, meaning they are not valued as the same.

1/2 is larger than 1/8 because 1/2 is pretty much half of 1 whole, while 1/8 is smaller than half of 1 whole.

Hope this helps you.
Have a great day! (:

The denominator of the fraction number is different. Then the fraction numbers are not equivalent fractions.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The fraction numbers are given below.

1/2 and 1/8

In the fraction numbers, the numerator is the same. If the denominator is the same, then the numbers will be equal.

The denominator of the fraction number is different. Then the fraction numbers are not equivalent fractions.

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One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?

Answers

Angle 1 = 8x + 45
Angle 2 = x

x + 8x  + 45 = 180
combine like terms

9x + 45 = 180
subtract 45 from both sides

9x = 135
divide both sides by 9 to isolate x

x = 15

Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees

find the area of an equilateral triangle (regular 3-gon) with the given measurement

Answers

you do length x width x height x width divided by 2


Write2/3and3/4 as a pair of fractions with a common denominator

Answers

The least common multiple of 3 and 4 is 12.

[tex] \dfrac{2}{3} \times \dfrac{4}{4} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12} [/tex]

[tex] \dfrac{3}{4} \times \dfrac{3}{3} = \dfrac{3 \times 3}{4 \times 3} = \dfrac{9}{12} [/tex]

Answer: 8/12 and 9/12, respectively.

Find the complete factorization of the expression. 32xy − 56xyz

Answers

xy(32 - 56z)
8xy(4 - 7z)

The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days. between what two values do the middle 95% of the lengths of all pregnancies fall?

Answers

218, 314 are the two values do the middle 95% of the lengths of all pregnancies fall.

a copper alloy that is 40% copper is to be combined with a copper alloy that is 80% copper to produce 120 kilograms of an alloy that is 70% copper. how many kilograms of each alloy must be used? please work it out

Answers

Try this way:
1. note, that in such tasks mass of pure copper before merging and after merging is the same (this is the base);
2. If the mass of pure copper in alloy with 40% solution is 'x' and the mass of pure copper in alloy with 80% solution is 'y', then It means before merging was x/0.4 and y/0.8, after merging was (x+y)/0.7. It is one equation of the future system.
3. Using 120 kg. of 70% solution, it is possible to define mass of pure copper after merging, 120*0.7(=84 kg.). And before merging it was 'x+y' kg. of pure copper. It is the second equation of the future system.
4. according to the items no.2&3 (to make up the system of two equations and solve it). All the details are in the attached picture.
5. pure copper in 40% solution is 12 kg., pure copper in 80% solution is 72 kg. It means, that the copper alloy with 40% solution is x:0.4=12/0.4=30 kg., and the copper alloy with 80% solution is y:0.8=72/0.8=90 kg.

After setting up and correcting a system of equations, the student needs to use 30 kg of the 40% copper alloy and 90 kg of the 80% copper alloy to create 120 kg of a 70% copper alloy.

To solve this problem, we need to set up a system of equations. Let x be the amount of 40% copper alloy needed, and y be the amount of 80% copper alloy needed.

First, we have the total weight equation:

x + y = 120 kg (the final alloy's total weight)

Next, we have the copper content equation:

0.40x + 0.80y = 0.70 × 120 kg (the final alloy's copper content)

Now, let's solve this system of equations:

Address the second equation: 40x + 80y = 8400

Express x in terms of y: 40x = 8400 - 80y

Divide by 40: x = 210 - 2y

Substitute x in the first equation: (210 - 2y) + y = 120

Solve: 210 - y = 120, y = 90 kg

Finally, substitute the value of y back into x = 210 - 2y: x = 210 - 2  imes 90 = 210 - 180 = 30 kg

So, we need 30 kg of the 40% copper alloy and 90 kg of the 80% copper alloy.

Solve the equation on the interval (0,2pi )

2 Sin Θ cos Θ = -1

Answers

To solve the trigonometric equation 2sin(θ)cos(θ) = -1 on the interval (0,2π), use the double angle identity and find the solutions to be θ = π/4 and θ = 3π/4.

Solve the trigonometric equation:

2sin(θ)cos(θ) = -1

Use the double angle identity: sin(2θ) = 2sin(θ)cos(θ)

Substitute and solve to get sin(2θ) = -1

Find the solutions within the given interval (0,2π) which are θ = π/4 and θ = 3π/4.

What is the period of y = 3cot(4x - 3pi)

Answers

4x = 2π when x = π/2

The period is π/2.

The period of y = 3cot(4x - 3pi) is π/2 units.

The period of the function y = 3cot(4x - 3π) is calculated as the reciprocal of the absolute value of the parameter in front of x.

To find the period, identify the coefficient of x, which is 4 in this case. The period is then given by 2π/|4| = π/2.

Therefore, the period of the given function y = 3cot(4x - 3π) is π/2 units.

solve and write multiplication equations

72=0.6r

Answers

The answer is 120 instead of 12 because 12 equals 7.2
72=0.6r
72/0.6 = 0.6r/0.6
r = 120

The diagram represents the floor of a museum. The figure is made up of a rectangle and a triangle.

What is the area of the floor?

Enter your answer in the box.


______ ft2 I'll but the link for the pic

Answers

I don't see the pic. :(

The figure is formed of a rectangle and a triangle

The rectangle has dimensions:length=38ft and width=20ft

The triangle has dimensions:base=33ft and height=9ft

Area of rectangle=length*width of rectangle

Area of triangle=[tex] \frac{1}{2} [/tex]*base*height

Area of figure= area of rectangle + area of triangle

Area=length*width+[tex] \frac{1}{2} [/tex]*base*height

Area=38*20 + [tex] \frac{1}{2} [/tex]*33*9

Area=760+[tex] \frac{1}{2} [/tex]*297

So we have, Area=760+[tex] \frac{297}{2} [/tex]

Or, Area=760+148.5

Area=908.5

Area of the floor=908.5[tex] ft^{2} [/tex]

A truck has a full 50-gallon gas tank. It uses 7 1/4 gallons on the first part of its journey, 13 1/2 gallons on the second part of its journey, and 15 1/4 gallons on the third part of its journey. How many gallons of gas remain in the gas tank?

Answers

50 -7 1/4 -13 1/2 -15 1/4 = 14 . . . . gallons remain
14 gallons would remain in the gas tank after the third part of his journey.

what is the missing reason in the proof?

Answers

perpendicular bisector theorem

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

Perpendicular bisector theorem: if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints.

So, if segment ST is the perpendicular bisector of segment RV, then, by perpendicular bisector theorem, any point in segment ST (like S) is equidistant from points R and V, in consequence, segments RS and SV are equal.

Marianne has been collecting donations for her biscuit stall at the school summer fayre. There are some luxury gift tins of biscuits to be sold at £5 each, normal packets at £1 each, and mini- packs of 2 biscuits at 10p each. She tells Amy that she has received exactly 100 donations in total, with a collective value of £100, and that her stock of £1 packets is very low compared with the other items. Amy wants to work out how many of each item Marianne has. Show how she can do it.

Answers

Answer:

Number of luxury gift tins of biscuits sold at £5 each: 18
Number of normal packets sold at £1 each: 2
Number of mini- packs of 2 biscuits sold at 10p each: 80

Solution:

Number of luxury gift tins of biscuits sold at £5 each: x
Amount received by the number of luxury gift tins of biscuits sold: £5 x Number of normal packets sold at £1 each: y
Amount received by the number of normal packets sold: £1 y
Number of mini- packs of 2 biscuits sold at 10p each: z
Amount received by the number of 2 biscuists sold: 10p z =£0.1z

She tells Amy that she has received exactly 100 donations in total:
(1) x+y+z=100

A collective value of £100:
Total amount receibed: £5 x + £1 y+ £0.1z= £100 → £ (5x+1y+0.1z)= £100 → 5x+y+0.1z=100 (2)

Her stock of £1 packets is very low compared with the other items:
y<<x
y<<z
Then we can despice the value of "y" and solve for "x" and "z":
y=0:
(1) x+y+z=100→x+0+z=100→x+z=100 (3)
(2) 5x+y+0.1z=100→5x+0+0.1z=100→5x+0.1z=100 (4)

Solving the system of equations (3) and (4) using the substitution method:
Isolating z in equation (3): Subtrating x from both sides of the equation:
(3) x+z-z=100-x→z=100-x

Replacing z by 100-x in the equation (4):
(4) 5x+0.1z=100→5x+0.1(100-x)=100
Eliminating the parentheses:
5x+0.1(100)-0.1x=100→5x+10-0.1x=100
Adding similar terms on the left side of the equation:
4.9x+10=100
Solving for x: Subtrating 10 from both sides of the equation:
4.9x+10-10=100-10→4.9x=90
Dividing both sides of the equation by 4.9:
4.9x/4.9=90/4.9→x=18.36734693

Replacing x=18.36734693 in the equation:
z=100-x→z=100-18.36734693→z=81.63265306

We can round x and z: x=18 and z=81 and solve for y in equations (1) and (2):
(1) x+y+z=100→18+y+81=100
Adding similar terms on the left side of the equation:
99+y=100
Subtracting 99 from both sides of the equation:
99+y-99=100-99→y=1

(2) 5x+y+0.1z=100→5(18)+y+0.1(81)=100→90+y+8.1=100→98.1+y=100→98.1+y-98.1=100-98.1→y=1.9→y=2 different to 1

Suppose y=1. Replacing y=2 in equations (1) and (2):
(1) x+y+z=100→x+1+z=100→x+1+z-1=100-1→x+z=99
(2) 5x+y+0.1z=100→5x+1+0.1z=100→5x+1+0.1z-1=100-1→5x+0.1z=99

Repeating the process:
z=99-x
5x+0.1z=99→5x+0.1(99-x)=99→5x+9.9-0.1x=99→4.9x+9.9=99→4.9x+9.9-9.9=99-9.9→4.9x=89.1→4.9x/4.9=89.1/4.9→x=18.18367346
z=99-18.18367346→z=80.81632653
x=18 and z=80
(1) x+y+z=100→18+y+80=100→y+98=100→y+98-98=100-98→y=2
(2) 5x+y+0.1z=100→5(18)+y+0.1(80)=100→90+y+8=100→y+98=100→y+98-98=100-98→y=2

Answer:
Number of luxury gift tins of biscuits sold at £5 each: 18
Number of normal packets sold at £1 each: 2
Number of mini- packs of 2 biscuits sold at 10p each: 80
Answer:

Number of luxury gift tins of biscuits L sold is 18.

Number of mini- packs of 2 biscuits M sold is 80.

Number of normal packets N sold is 2.

Step-by-step explanation:

Let L, M, N represent the number of Luxury, Mini, and Normal packets sold.

Total earned by selling luxury gift tins of biscuits = 5L

Total earned by selling normal packets =  £1N

Total earned by selling 2 biscuits at 10p = 0.1M

Marianne  tells Amy that she has received exactly 100 donations in total:

Equation becomes:

[tex]L+N+M=100[/tex]     .... (1)

total earning is £100, so another equation becomes:

[tex]5L+N+0.1M=100[/tex]        .......(2)

Given is that stock of £1 packets is very low compared with the other items:  

so, N<L   and N<M

Putting y = 0 in equation 1 and 2

[tex]L+M=100[/tex] or [tex]L=100-M[/tex]    .....(3)

[tex]5L+0.1M=100[/tex]         ......(4)

Replacing L by 100-M in the equation 4

[tex]5(100-M)+0.1M=100[/tex]

[tex]500-5M+0.1M=100[/tex]

4.9M=400

M=81.63

As, L=100-M

[tex]L=100-81.63=18.37[/tex]

L=18.37

We can round L and M to 18 and 81 respectively and solve for N from 1 and 2 equations.

[tex]L+M+N=100[/tex]

=>[tex]18+N+81=100[/tex]

=>[tex]N=1[/tex]

[tex]5(18)+N+0.1(81)=100[/tex]

[tex]90+N+8.1=100[/tex]

=> N=1.9

We will repeat the same process with N = 2 and get the following result.

Number of luxury gift tins of biscuits L sold is 18  

Number of mini- packs of 2 biscuits M sold is 80

Number of normal packets N sold is 2

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <1, -2>, v = <-4, 8>

A) Orthogonal
B) Neither
C) Parallel

Answers

u dot v = <1,-2> dot <-4,8>
u dot v = 1*(-4) + (-2)*8
u dot v = -4 - 16
u dot v = -20
The nonzero dot product tells us that u and v are not orthogonal

u = k*v
<1,-2> = k*<-4,8>
<1,-2> = <-4k, 8k>
1 = -4k implies that k = -0.25
-2 = 8k implies that k = -0.25
The fact we get the same k value each time tells us the two vectors are parallel (they point in the same direction on the compass). One vector is a scaled version of the other. 

Answer: C) Parallel

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Answers

Given that m∠A=m∠D. The facts that would guarantee similarity of triangle ABC and triangle FDE is :
The ratio of corresponding sides are similar, that it:
AB/DE=CB/FE=CA/FD
also the corresponding angles should be equal. 
hence the answer is:
A] AB/DE=CB/FE and m∠C=m∠F

Prove that the angle bisector of the angle opposite to the base of an isosceles triangle is also the altitude to the base

Answers

Given:
.. apex angle is divided into 2 equal parts
.. base angles are equal
.. side lengths are equal
1. The triangles are congruent by ASA
2. The angles where the bisector meets the base add to 180°. (They are linear angles formed by the bisector and the base.)
3. The angles where the bisector meets the base are congruent. (The are corresponding angles of congruent triangles.
4. The angles where the bisector meets the base are 90°. (Congruent angles that add to 180° must be 90°.)
5. The bisector is a line from the apex meets the base at a right angle, so is an altitude. (Definition of altitude.)

There are 80 sixth grade students at Howard elementary school.If 25% of the students have green eyes how many sixth grade students have green eyes

Answers

25% times 80 = 20. 20 students have green eyes.:) :)

For which of these does correlation most likely imply causation?

Answers

Hello!

Correlation most likely implies causation in the following case: As rainfall increases, the number of umbrellas sold increases.

"Correlation doesn't always imply causation" is a common saying in statistics. Sometimes when there's a high correlation coefficient between two variables, that doesn't always mean that one is the cause for the other.

When rainfall increases, people are in need of umbrellas and often buy new ones, so for this pair of variables, the correlation most likely implies causation. 

Have a nice day!

Answer:

As the use of a condition that increases the electricity bill increases as well

Step-by-step explanation:

a rectangular prism has a volume of 144 cm3. the base is a square with a length of 4 cm. what is the height of the prism

Answers

Answer:

9 cm

Step-by-step explanation:

The volume is given by the formula ...

V = LWH

Filling in the given numbers, you have ...

144 cm^3 = (4 cm)(4 cm)H

H = (144 cm^3)/(16 cm^2) = 9 cm

The height of the prism is 9 cm.

Describe how dividing by 2 is the same as finding 1/2 of 1/4

Answers

1/2
1/4:1/2=1/4•2/1=2/4=1/2

To understand 1/4 dividend by 1/2 lets start with understanding what division does;

1/4 dividend by any number greater than 1 will make smaller quantities than 1/4 because you cut that 1/4 to make out of it 2 or 3 or 4...etc. equal groups

1/4 : 2 = 1/8
1/4 cut to make 2 groups =2 groups of 1/8

1/4 dividend by a number smaller than 1 like 1/2 will make you bigger quantity than 1/4 because because you don’t make not even a whole group yet a half (1/2) a group.

1/4: 1/2= 1/4 •2= 1/2




Other Questions
When milk prices increased in 2008, one milk consumer stated that the reason he cut down on milk consumption is so that he could drive his car. this action represents a:? For every two feet the ramp goes up it also goes 5 feet forward. If this ratio remained constant, how many feet high would the ramp be if it went 22.5 feet forward? A)9 feet high B)11.25 feet high C)32 feet high D)45 feet high In which sentence is the underlined word or group of words would a predicate nominative A. Jonas Edward Salk became *famous* for developing a polio vaccine. B. In the 1940s, polio was *widespread*.C. Polio is a contagious *disease* that has mostly been eradicated. Ninas car exponentially depreciates at a rate of 7 percent per year. If nina bought the car when it was 6 years old for 12000, what was the original price of the car This term refers to the the judiciary act of 1801, which would later be an issue in "marbury v. madison." Read the sentence on lines 9 -10 from Anthem and answer the following question.What might the author use the flickering fire to symbolize in the sentence? Click here for excerpt.A passionB purityC safetyD innocence What percentage of 5- to 11-year-old children in the united states have asthma? 1.Which of the following was not an influence on the people in Latin America who sought independence in the 19th century? (5 points)the Enlightenmentthe Mexican-American Warthe American Revolutionthe French Revolution2.The revolutions in Latin America in the 19th century consistently achieved (5 points)political independence from Europethe end of slavery in each countrythe establishment of stable democraciessocial and economic equality for all3.Which of the following events was a primary factor in the outbreak of independence movements in Latin America? (5 points)the Spanish War of Independencethe Seven Years Warthe War of the Pacificthe War of the Triple Alliance4.An intended result of the Latin American revolutions was (5 points)large colonies breaking up into smaller countriescontinued fighting between the new countriesseparation and independence from Spainthe establishment of military dictatorships5.Which of the following caused continued unrest in the newly liberated colonies? (5 points)the complete independence from Spainthe increased influence of the Churchthe continuation of the caste systemthe numerous liberal economic reforms6.Which of the following constitutes an unintended result of the Latin American revolutions? (5 points)the complete independence from Spainthe breakdown of the caste systemthe fall of the many Creole caudillosthe many border disputes and wars7.What is one way the Spanish War of Independence encouraged those in the colonies to seek new political and economic rights? (5 points)The period of administrative freedom caused by the war gave leaders the opportunity to rebel for these rights.The disruptions caused by the war encouraged colonial merchants to seek markets in the Pacific.The exposure to French ideas through the war convinced many in Spain to provide these liberties to the colonies.The war with France made Spain tighten their political and economic hold on the colonies in desperation.8.Use the following political cartoon to answer the question below: how has globalization made countries more independent, To avoid a storm, a passenger-jet pilot descended 0.17 mile in 0.2 minute. What was the plane's average change of altitude per minute? What is regulation? What would it mean to regulate big food? What molecules link together to form proteins? A.Nucleotides B.Amino acids C.Disaccharides D.Fatty acids Which of these had achieved one of its primary goals by the beginning of the 1920s?a. the union movementb. the Civil Rights movementc. the Women's Suffrage movementd. the Native American rights movement What do you need to know describe the velocity of an object According to Binet, mental age relates to chronological age because ___________.A.they are the same thingB.mental age involves calculating the chronological age at which a person functionsC.chronological age involves calculating how a person is mentally functioningD.they are opposites Kelly ran 2 miles and burned 240 calories. The next day she ran 3 miles and burned 360 calories. The next day 4 miles and 480 calories. If this pattern continues, how many calories will she burn if she runs 8 miles? The marketing department of a sports supply store wants to estimate the percentage pf adults in the town who belong to a gym. Which statement describes a method that will help the marketing department accurately estimate the percentage Match the vocabulary word with its meaning.1.indigenous2.polytheistic3.diaspora4.monotheistic5.metallurgy6.steppe7.vassalsomeone who shows loyalty to another in return for being allowed to occupy landthe scattering of a people from their homelanda belief that many gods control the universepeople groups that are native to a regiona belief in one god controlling the universea vast, semi-arid, usually grassy plainstudy of metals and the process for refining and making things from them Earth is approximately 4.5 billion years old. Is it likely that any of the rocks that were on Earth's surface when it first formed are still in existence? A. No, most of Earth's magma did not solidify until 1 billion years ago. B. Yes, Earth's surface has changed very little since Earth was first formed. C. No, rock material is constantly recycled on Earth's surface through the rock cycle. D. Yes, rocks are very hard and should be able to survive for 4.5 billion years. Match the modern English word to the historical preceding form.1.al-jabr (Arabic)parasite2.nei (Old Norse)courteous3.kharizesthai (Greek)boss4.corteis (Old French)algebra5.pompion (French)evil6.paritus (Latin)pumpkin7.yfele (Old English)woodchuck8.baas (Dutch)charisma9.wejack (Algonquian)no vocab?