Please help ASAP.Will mark as brainliest.

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

Answer: 27 miles in 1 gallon

Step-by-step explanation:

297/11

The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

We will be used when division is not possible wholly

For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is very useful to determine complex calculation where decimal number become tough to solve.

Given,

297 miles in 11 gallons

297 miles ⇔ 11 gallons

Divide by 11 on both sides

297/11 miles ⇔ 11/11 gallons

27 miles ⇔ 1 gallon

So, 27 miles in 1 gallon.

Hence unit rate is 27 miles/gallon will be correct.

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Answer:

A

Step-by-step explanation:

(-4-3, 7+7)

(-7, 14)

Answer: A

Step-by-step explanation:

x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)

Distribute the cross product:

x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)

........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)

........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)

x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)

........... + 91 (i x j) + 28 (j x j) - 63 (k x j)

........... - 52 (i x k) - 16 (j x k) + 36 (k x k)

By definition of the cross product, we have

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

and for any two vectors x and y, the product is anti-symmetric:

x x y = -(y x x)

This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:

x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)

x x y = 95 k + 61 j + 47 i

x x y = 47 i + 61 j + 95 k

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer

x= 4.75       y=-22

Step-by-step explanation:

got it right on the unit test!!

Answer:

x = 20

Step-by-step explanation:

→Add 6 to both sides:

[tex]\frac{1}{2} x-6=4[/tex]

[tex]\frac{1}{2} x=10[/tex]

→Multiply both sides by 2:

x = 20

Answer:

X=4

Step-by-step explanation:

Solution: x equals 4

x/14-(6/21)=0

1. Simplify 2/7

x/14- 2/7 is 0

It’s too much steps

Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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The volume is 15/16 cubic meters.

please see the attached picture for full solution

hope it helps

Answer:

The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22

Step-by-step explanation:

We convert the equation to the form (x - h)² + (y - k)² = r²

Where:

(h, k) = Coordinates of the center of the circle

We therefore have;

x² + y² - 2·x + 3·y = 8 which gives;

x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8

(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8

(x - 1)² + (y + 3/2)²  = 8 +  1 + (3/2)² = 45/4

Therefore, the center = (1, -3/2) and the radius = √5 × 3/2

The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;

Midpoint between (1, -3/2) and  (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]

Which gives;

y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]

Which gives;

4·h -2·k -13 = 0.......(1)

Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles

Therefore;

The slope of the line, y = 2·x - 3 = 2, hence we have;

[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]

Which gives;

2·h -4·k -12 = 0.......(2)

Multiplying equation (2) and subtracting from equation (1) gives

4·h -2·k -13 - 2×(2·h -4·k -12) = 0

6·k + 11 = 0

k = -11/6

From which we have;

2·h -4×(-11/6) -12 = 0

Hence;

h = 7/3

Therefore, the center of the reflected circle = (7/3, -11/6)

The equation of the reflected circle is therefore;

(x - 7/3)² + (y + 11/6)² = 45/4

Which gives;

9·x² + 9·y² - 42·x + 33·y - 22 = 0

or x² + y² - 42/9·x + 33/9·y = 22/9.

Answer:

Jason has 75 pencils.

Step-by-step explanation:

In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.

Answer:

x = -2, x= -5 , x= +5

Step-by-step explanation:

x^3 + 2x^2 -25x - 50 = 0

Factor by grouping

x^3 + 2x^2        -25x - 50 = 0

x^2(x+2)   -25( x+2) = 0

(x+2) ( x^2 -25) =0

Using the zero product property

x+2 =0     x^2 -25 =0

x=-2            x^2 = 25

x= -2            Taking the square root of each side

                     x = ±5

Answer:

A

Step-by-step explanation:

17/12 = 1  5/12

1×12+5=17

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

Answer:

4m

Step-by-step explanation:

1/5 of 20

Answer:

x = -4

Step-by-step explanation:

5(8+x)=20

Divide each side by 5

5/5(8+x)=20/5

8+x = 4

Subtract 8 from each side

8+x-8  = 4-8

x = -4

The right answer is -4.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

y - 32 = 4(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 4(x + 3) ← is in point- slope form

with slope m = 4

Parallel lines have equal slopes.

Using m = 4 and (a, b) = (4, 32), then

y - 32 = 4(x - 4) ← equation of parallel line

Answer:

1. (-1/4,0)(1.5,0)

2.(-1/2,2)(6/4,2)

Step-by-step explanation:

just locate the numbers on the graph

Answer:

A,D

Step-by-step explanation:

I'm taking the test

The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.

Hence, option A and option D are correct.

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Answer:

The answer is option 2.

Step-by-step explanation:

Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.

By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.

Answer:

Answer:

Acute and Scalene.

Step-by-step explanation:

By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.

By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.

Hope this helps!

Step-by-step explanation:

so round up is b equal a plus 10....

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

Answer:

1/4

Step-by-step explanation:

3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.

Answer:

60 possible sequences.

Step-by-step explanation:

That would be 6! / 3! 2!

   6*5*4*3*2*1

=  ------------------

     3*2*1*2*1

= 5*4*3

= 60.

Answer:

D. Median

Step-by-step explanation:

I say this because  is the average of the numbers

Answer:

Below.

Step-by-step explanation:

To find the answer, you have to compare the two equations:

[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]

So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.

The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.

Answer: angles 1 and 7

Answer:

[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!