What is the best estimate of the sum of $14.30, $143.08, and $19.74

Answers

Answer 1

Answer:

Step-by-step explanation:

ok so you start off by adding

  14.30

143.08

  19.74

 177.12

177.12 is close to 180 if u estimate in tens, 177 if ones

Answer 2

The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

All real numerals and 0 are included in the category of whole numbers.

The process of adding up the different or more sums or figures.

The sum means plus sing is present between the terms.

The whole numbers are given below,

$14.30, $143.08, and $19.74

Then the summation of the whole numbers is given below.

⇒ $14.30 + $143.08 + $19.74

⇒ $177.12

Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

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Related Questions


The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.

Step-by-step explanation:

The slope of any linear equation is always rise over run.

Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is

[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so  [tex]\frac{1}{8}[/tex] is the slope.

To find the percent grade, we find the decimal version of  [tex]\frac{1}{8}[/tex] and multiply by 100.

[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]

Hope this helped!

Answer:

Slope = 1/8

Grade = 12.5%

Step-by-step explanation:

Hey there!

Well if the rise/run is 8/64

then the slope is 8/64,

8/64

simplified

1/8 is the slope

The decimal grade is 1/8 as a percent so,

1 ÷ 8 = .125

Move the decimal place 2 times to the right,

12.5% is the decimal grade

Hope this helps :)

Explain how I would rewrite 3^5 * 3^-4 as a base an exponent

Answers

Answer:

3^1 or 3

3^5 * 3^-4 are 3^5-4

so, 3^1!

Hope it helps!

Answer:

3^1

Step-by-step explanation:

Since the bases are the same and we are multiplying we can add the exponents

a^b * a^c = a^(b+c)

3^5 * 3^-4

3^ (5+-4)

3^1

what is -4 as a fraction

Answers

Answer:

-4/1

Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.

The answer should be -2/5

The sum of 6 even integers is 130 what is the 2nd number in the sequence

Answers

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

2 (100/12) + 2
______________

- The water rate for Columbus Ohio
is $1.98 per 750 gallons of water.
What is the water bill for a resident
who used 27,000 gallons?

Answers

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

The answer would be $71.28 :)

A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is correct and can be used to solve for the value of z? StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction

Answers

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Step-by-step explanation:

The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:

[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Answer:

A

Step-by-step explanation:

Edg 2020

the graph of y=f(x) is shown below. find all the values of x where f(x)=1

Answers

positive 3 is the correct answer

When you substitute the value of x = 3, you get f(x) = 1.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here the given graph of y = f(x) is shown.

When you substitute the value of x = 3, you get f(x) = 1.

Hence, you can get f(x) = 1 by substituting the value of x = 3

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Write the equation in terms of a rotated x'y'-system using the angle of rotation. Write the equation involving x' and y' in standard form.

19x2 + 241/3 xy - 5y2 - 527 = 0; 0 = 30°

Answers

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.


A) reflect triangle a across the y-axis and then translate triangle a 5 units down.  B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.  
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin. 
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin

Answers

Honestly I’m not for sure but I’m think it’s either a or b

The triangle is shifted 4 units downwards and then is rotated about the origin.

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

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Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.

Answers

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

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Which data set could be represented by the box plot shown below?

Answers

Answer:

16

Step-by-step explanation:

The correct answer is 16

Find x: 50*5x=5000

A) 25
B) 20
C) 50
D) 75

Answers

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

can somewon help me plx

Answers

Answer:

[tex]\boxed{392in^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find SA we need to find the area of the rectangles.

So lets do the top rectangle,

6*6 = 36

Now lets do the the left rectangle,

10*6 = 60

Now lets do the far right one,

6*4 = 24

Now lets do the second highest rectangle,

4*6 = 24

Now lets do the rectangle facing the right side,

6*6 = 36

Now we can do the bottom rectangle,

6*10 = 60

Now lets do the 2 facing front and back,

6*10 = 60

4*4 = 16

60+16 = 76

76*2 = 152

Now we can add everything,

152 + 60 + 36 + 24 + 24 + 60 + 36

= 392 in^2

Hope this helps :)

The answer is 392in. Squared

Given the following three points, find by hand the quadratic function they represent.
(0,6), (2,16), (3, 33)
(1 point)
f(x) = 4x2 – 3x + 6
f(x) = -4x2 – 3x + 6
Of(x) = -4x2 + 21x + 6
Of(x) = 4x2 + 3x + 6

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f(x) = -3x2 + 4x - 1
O f(x) = -2x2 + 5x - 1
Of(x) = -5x2 + 8x - 1
O f(x) = -3x2 + 10x - 1


Find the equation of a parabola that has a vertex
(3,5) and passes through the point
(1,13). (1 point)
Oy=2(x – 3)' + 5
Oy= -2(x – 3)' + 5
Oy= -3(x – 3)' +5
Oy= 2(x + 3)" - 5

Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11), (9, 14), (11, 18)
(1 point)
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs represent a quadratic equation.
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs do not represent a quadratic equation.
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differences
of the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation.

Determine if the following table represents a quadratic function. Explain.
х
1
2
3
4.
5
y 13 22 37 58 85
(1 point)
O The differences between the differences of the y-values is a constant 6, so the ordered pairs do not represent a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs represent a quadratic equation.
The differences between the differences of the y-values is a constant 6, so the ordered pairs represelo a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs do not represent a quadratic equation.

i’m in a rush :( pls help

Answers

Answer:

A B A C C are the correct answers~_~

Step-by-step explanation:

A B A C C are the answers :)

Find the number of four-digit numbers which are not divisible by 4?

PLEASE HELP ASAP!!!

Answers

Answer:

i dont see the numbers

Step-by-step explanation:

Answer:

6750

Step-by-step explanation:

The first four-digit number divisible by 4 is 1000.

The last four-digit number divisible by 4 is 9996.

Modeling this as an arithmetic sequence, the nth term is:

a = 1000 + 4(n − 1)

So the number of terms is:

9996 = 1000 + 4(n − 1)

8996 = 4(n − 1)

2249 = n − 1

n = 2250

There are 2250 four-digit numbers that are divisible by 4.  Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.

Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?

A. 204

B. 17

Answers

Answer:

So.. I believe the answer is 17

Step-by-step explanation:

In order to get your answer, you would first multiply 38*12 which is 456

Then you would get that number (456) and divide it by 7,752

So 7,752/456 is 17

The answer to this is B

On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi

Answers

Answer:

i think the answer is a. 25

There, hope it helps :)

Find the mean of the data in the pictograph below.

Answers

Answer:

10.5

Step-by-step explanation:

Answer: 10.5


Explanation: just use a mean calculator lol

Someone pls help me i forgot how to do this . Thank you sm !!

Answers

Answer:

1.x=-5 2.t=1/2 3.x=20

Step-by-step explanation:

all simple algebra first and second is simple subtraction

the third involves division as  well

Answer:

Here are the answers:

1) -5

2) 1/2

3) 20

Hope I helped)))

Pls mark brainliest

You invest $4,000 in a savings account. The account pays 3% annual interest. How
much money will be in the savings account after 9 years?
$5,124.33
$6,003.45
$4,938.29
$5,219.20

Answers

Answer:

$5219.20

Step-by-step explanation:

4000 × (1+(3 / 100))^9

5219.20







That’s what I got

A fish fank was 3/4 full, and then 1/3 of the water leaked out,
5) How full was the fish tank after the water leaked out?
6) If there was 20 gallons of water left in the fish tank after the water leaked out,
how many gallons of water does the fish tank hold when it is full?

Answers

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about

healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US

Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in

the state of Virginia.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you

think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.

Part B: No

Step-by-step explanation:

Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.

Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.

Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths

Answers

It equals ten and eight forge

Answer: The answer is c

Step-by-step explanation:

Which data set could be represented by the box plot shown below?

Answers

Answer:

Step-by-step explanation:22

The answer is would be

22

Find the value of y and x.

Answers

Answer:

x = 130°y = 65°

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

The answer for this is y= 65 degrees and x= 130 degrees

The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?

Answers

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The answer to this question is x = 8y^2 - 16y -68

Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.

Answers

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Yes ^^ they are correct I’ve answered this before

A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks

Answers

35m is the answer to the problom        

Answer:

the correct answer is 13

Step-by-step explanation:

i got it correct on the test, hope this helps:)) !

What does y equal -3=15+4y

Answers

Answer:

-3 = 15+4y

4y = 12

y = 3.......

y=-5 the answer is that
Other Questions
Read the prompt. Then, choose the option with the correct demonstrative adjective. You like the skateboard you are holding in your hands. Me gusta esa patineta. Me gusta ese patineta. Me gusta esta patineta. Me gusta este patineta. Can someone help me please???????? How did the Smoot-Hawley Tariff Act contribute to the Great Depression?Foreign countries refused to buy American goods due to its passage.Higher income taxes made it harder for families to buy goods.Fewer Americans bought domestic goods due to increased cost.Successful American businesses forced foreign businesses to close. An electron and a proton both moving at nonrelativistic speeds have the same de Broglie wavelength. Which of the following are also the same for the two particles? (A) speed(B) kinetic energy (C) frequency (D) momentum The graph below represents the function f.f(x)if g is a quadratic function with a positive leading coefficient and a vertex at (0,3), which statement is true?.The function fintersects the x-axis at two points, and the function g never intersects the x-axis.BThe function fintersects the x-axis at two points, and the function g intersects the x-axis at only one point.c.Both of the functions fand g intersect the x-axis at only one point.DBoth of the functions fand g intersect the x-axis at exactly two points. What is the name of a geometric figure that looks an orangeA. Cube B. SphereC. Cylinder D. Cone In the graph above, which of the following would most likely cause the line to shift from D1 to D2? A - An increase in consumer expectationsB - An increase in priceC - A decrease in consumer expectationsD - A decrease in price Which table shows a proportional relationship between a and b?.b39412520B.Qub202524303240.ab412un15624D.ab Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday. 1) What fractional part of the total crackers originally in the box did Alexandereat on Wednesday?2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!) Find the value of the test statistic to test for a difference in the areas. Round your answer to two decimal places, if necessary. what are four things you know about Early republic what is empowerment and radication please that is not from google Gran Dolina adult hominids were similar to later Homo sapiens in their Group of answer choices None of these choices is correct. ability to produce art. wide nasal apertures. large cranial capacity. a vegetable garden and he's around the path of seemed like a square that together are 10 ft wide. The path is 2 feet wide. Find the total area of the vegetable garden and path How does the body prevent the loss of sugar in urine? Shaw Company engages Maya Company to produce a large machine, install the machine, and train their employees on the machine. The machine, installation, and training are distinct, and Maya determines that the contract includes three separate performance obligations. The machine, installation, and training typically cost $800,000, $100,000, and $100,000 respectively when each is provided in a separate contract. Shaw and Maya agree to a total contract price of $920,000. How much of the contract price should Maya allocate to the machine, installation, and training, respectively? Place the following compounds in order of increasing strength of intermolecular forces. CH4 CH3CH2CH3 CH3CH3 Group of answer choices CH3CH2CH3 < CH4 < CH3CH3 CH4 < CH3CH3 < CH3CH2CH3 CH3CH2CH3 < CH3CH3 < CH4 CH4 < CH3CH2CH3 < CH3CH3 CH3CH3 < CH4 < CH3CH2CH3 8 times the sum of a and b the length of a triangle is x and its width is 2x. what is the area if the length and width are each increased by 1?A. 2x^2+ 3x+ 1B. 2x^2+ 1C. 2x^2+ 2x+ 1D. 2x^2+ 3x+ 2 (3-1) (4+2) + 9 - 3 I need help