Like Terms or Unlike Terms: 8x + 88x +23x

The Transitive property states that;

if a=b and b=c then a=c.

and c by b.

if a = -3 and -3 = b, then a = b.

So, the property illustrated is similar to the Transitive property

Therefore, the property illustrated is the Transitive property.So, if you replace b with -3 we have;

f

Answer:

For the first question, the probability of getting no tails in two coin flips is the probability of getting two heads, which is given in the table as 40/200 = 0.2, or 20%.

For the second question, we can use the slope formula:

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

Plugging in the coordinates, we get:

slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2

So the slope of the line is negative three halves.

For the third question, the scatter plot points do not appear to lie on a perfectly straight line, but a line that fits the data could be drawn through points around (3,6) and (5,6). Therefore, the first graph (with a line drawn through about 3,6 and 5,6) shows a line on the scatter plot that fits the data.

For the fourth question, we can use the properties of similar triangles to find FD. The ratio of corresponding side lengths in similar triangles is equal. Therefore, we can write:

AB/DE = BC/EF = CA/FD

Plugging in the values, we get:

11/3.3 = 7.9/EF = 7.6/FD

Solving for FD, we get:

FD = (7.6*3.3)/11 = 2.28 (rounded to two decimal places)

Therefore, FD is 2.28 units long.

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = \(131^{o}\)

So that;

\(c^{2}\) = \(50^{2}\) + \(60^{2}\) -2(50 x 60) Cos \(131^{o}\)

   = 2500 + 3600 -6000 x -0.6561

   =  6100 + 3936.6

\(c^{2}\) = 10036.6

c = \(\sqrt{10036.6}\)

  = 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

Step-by-step explanation:

For the 1st picture,

1 unit to the left and 3 units up.

Fir the 2nd picture,

We know the 90 degree counterclockwise rule is

\((x) \:(y) goes \: to \: ( - y)(x)\)

So our new points will be

(-1,7)

(4,8)

(-2,2)

For the 3rd picture,

The new points will be

(-10,0)

(-6,2)

(-7,-1)

For the 4th picture,

A pentagon interior angles add up to 540.

We solve for x.

I cant really see the angles but just add up all the known angles and subtract them from 540 and that should get you your answer.

For 5th picture,

Exterior angles add up to 360 for every figure, a 13 sided polygon means it has 13 exterior angles. Since this is a regular polygon, the angles will all be equal.

\( \frac{360}{13} = 27 \frac{9}{13} \)

Which equal

27.7

Answer:

About $2.34

Step-by-step explanation:

If each pound of apples cost 1.77 and you have 1.32 pounds, you would multiply 1.77 by 1.32 to get 2.3364, but when rounded, 2.34.

Answer:

Step-by-step explanation:

1.77 answer 2.34

or somthing like that

The Work required to pump water out of the spout  would be equal to 464,062.5 π

Given data :

3 ft, 4 ft, 5 ft A right triangular prism tank with a spout is given.

weight of water = 62.5 Ib/ft³

inner radius ( r ) = 3 x 2 =6 ft

Outer radius ( R ) = 3 x 4 = 12 ft

Height ( h ) = 3 x 5 = 15 ft

To determine the work required to pump water out of the spout

y = Vertical distance

dv = cross-section volume

dw = weight

The radius of the tank

Radius = ( r - R ) y/h + R

Radius = ( 6 - 12 ) y/15 + 12

So, Radius = 12 - 0.4y

dv ( cross section volume )

\(\pi r^2\\\\\pi (12 - 0.4y)^2dy\\\)

Weight of cross-section ( dw ) = 62.5 ( 12.5 - 0.4y )² π dy

The work done to pump water out of the spout will be

Work done =  ∫¹⁵₀ 62.5 ( 12.5 - 0.4y )² π dy

∴ Work done ( W ) = 464,062.5

Hence we can conclude that the Work required to pump water out of the spout  would be 464,062.5 π

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Answer:

15%

Step-by-step explanation:

The quantities must be in the same units

Using the conversion

I hour = 60 minutes, then

3 hours 20 minutes = ( 3 × 60) + 20 = 180 + 20 = 200 minutes.

Thus

\(\frac{30}{200}\) × 100% = \(\frac{30}{2}\) = 15%

30 minutes as a percentage of 3 hours 20 minutes is 15%. This is obtained by converting 3 hours 20 minutes to minutes, divide 30 by the total time and multiplying by 100%.

1 hour = 60 minutes

3 hours =60×3 = 180 minutes

3 hours 20 minutes = 180+20 = 200 minutes

Thus, total time is 200 minutes

To convert to percentage, we need to divide 30 by 200 and multiply by 100%.

(30/200)×100% = (15/100)×100% = 15%

Hence, 30 minutes as a percentage of 3 hours 20 minutes  is 15%.

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This exercise refers to the identification of statistics that is misleading or erroneous. In this case, a circle graph and a table are involved.

A circle graph is simply a pie chart. It is used to depict information in percentages. An example is attached.

Although charts and tables are very useful descriptive and or illustrative statistics, they can be misleading.

This can happen when:

This answer is general in nature due to the limited information provided.

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Answer:

C

Step-by-step explanation:

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

Step-by-step explanation:

\(\frac{\pi }{3}\) and \(\frac{2\pi }{3}\)

The angle of elevation from Phillip to the space shuttle is 1.64°, calculated using the Pythagorean theorem and the square root of both sides.

Given that Phillip is watching a space shuttle launch from an observation spot 66 miles away and the space shuttle is at a height of 1.9 miles. The angle of elevation from Phillip to the space shuttle can be found using the following formula: tan θ = opposite/adjacent Where θ is the angle of elevation, opposite is the height of the shuttle, and adjacent is the distance between the shuttle and the observation spot. Using the Pythagorean theorem, we can find the hypotenuse as follows:hypotenuse² = opposite² + adjacent²Substituting the given values, we get:hypotenuse² = 1.9² + 66²= 3.61 + 4,356= 4,359.61Taking the square root of both sides, we get: hypotenuse ≈ 66.083 miles Substituting the given values in the first formula to find the angle of elevation, we get: tan θ = 1.9/66.083θ

tan⁻¹(1.9/66.083)θ ≈ 1.64°Therefore, the angle of elevation from Phillip to the space shuttle is approximately 1.64°.

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Constant variance is the assumption of regression analysis that the standard deviation and variance of the residuals are constant for all the values of variables that are independent. - This statement is correct.

Homogeneity of variances means the assumption that the variances of the random variables are constant. This homoscedasticity (that is, constant variances) assumption can be tested using the same diagnostics used for linear regression models.

All data usually consist of the dependent variable and the independent variable itself. Constant variance is about many linear regression assumptions. For example, if you have 325 rows, there should be at least one variance, possibly a constant.  

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(a) Limitations: Assumes reversible process, constant heat capacity.

(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.

(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.

The simplified form of the given expression is 8.5.

In arithmetic, the operation and interpretation of a function to make it simpler or easier to grasp is known as simplifying, and the process itself is known as simplification.

The expression is given in the question, as follows:

11 1/2 - (3 1/3 + 2 2/5)(1 - 28/43)

Convert the mixed numbers into fractions:

23/2 - (10/3 + 12/5)(1 - 28/43)

Taking LCM and solving the expression to get:

23/2 - (86/15)(15/43)

23/2 - 2

19/2

8.5

Thus, the solution to the given expression is 8.5.

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Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

Answer:

========================

We observe on the graph that:

All the above helps us to conclude that:

Answer:

Reflection through the x-axis, f(x) → -f(x).

Step-by-step explanation:

On comparison of the dotted red line with the solid blue line, it is apparent that the x-coordinates do not change, yet the y-coordinates are negatives of each other.

This suggests a reflection in the x-axis.

(Note: If the function was reflected in the y-axis, the y-coordinates would not change, yet the x-coordinates would be negatives of each other).

Mapping rule for reflection in the x-axis:  

Therefore, as y → -y then f(x) → -f(x).

So the correct answer that describes how the dotted line relates to the solid line f(x) is:

Answer:

the square root of 51 is 7.14142842854 so the most logical answer would be D

Hope this helps!

If the universal set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} then (A ∪ B) ∩ C = {1, 3, 5}, A' U B = {0, 2, 4, 6, 7, 8, 9} and  (A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}.

The universal set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To find (A ∪ B) ∩ C, we first need to find A ∪ B and then find the intersection with C.

A ∪ B is the set of all elements that are in A or B, so:

A ∪ B = {1, 2, 3, 4, 5, 6, 8}

Now we need to find the intersection of A ∪ B and C:

(A ∪ B) ∩ C = {1, 3, 5}

Therefore, (A ∪ B) ∩ C = {1, 3, 5}.

b. A' is the complement of A, which means it is the set of all elements in U that are not in A.

A' = {0, 6, 7, 8, 9}

A' U B is the set of all elements that are in A' or B, so:

A' U B = {0, 2, 4, 6, 7, 8, 9}

Therefore, A' U B = {0, 2, 4, 6, 7, 8, 9}.

c. A ∩ C is the set of all elements that are in both A and C:

A ∩ C = {1, 3, 5}

(A ∩ C)' is the complement of A ∩ C, which means it is the set of all elements in U that are not in A ∩ C:

(A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}

Therefore, (A ∩ C)' = {0, 2, 4, 6, 7, 8, 9}.

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Answer:

Step-by-step explanation:

\(​1+ 9r​\)

To add or subtract expressions, expand them so their denominators are the same. Multiply 1 by 99

\(\frac{9}{9} +\frac{r}{9}\)

Since 99​and 9 have the same denominator, add their numerators to add them together.

\(\frac{9+r}{9}\)

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A chord is a line segment joining two points on a circumference. If two different chords share one of their extremes then they form an angle known as an inscribed angle. The other extremes of these chords form an arc that is known as the intercepted arc of the inscribed angle. For example, in the picture you'll notice that chords AD and DB form the angle ADB and its intercepted arc is arcAB. The measure of an inscribed angle is half the aperture of its intercepted arc so we get:

Angle ACB also has arcAB as its intercepted arc. This means that we also have:

So angles ACB and ADB are congruent since they have the same measure. So as you can see, if two inscribed angles have the same intercepted arc they are congruent.

Angles CAD and CBD also share the same intercepted arc, arcCD. This means that this angles are also congruent.

ADB and CAD are not congruent because their intercepted arcs (arcAB and arcDC) are not the same. The same happens with BCA and CBA since their intercepted arcs are arcAB and arcBC.

The last pair of angles that we must analyze is the one composed by DEA and CEB. These two angles are formed at the intersection between two line segments. At this type of intersections four angles are formed with consecutive angles being supplementary and opposite angles being congruent. DEA and CEB are opposite angles since they share their vertex but not their sides. Therefore DEA and CEB are congruent.

Then the correct options are A, C and D.

Answer:

x = −4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Original equation:

4x - 6 = -22

Add 6 to both sides

4x = -16

Divide both sides by 4

x = -4

Hope this helps :)

Answer:

34

Step-by-step explanation:

Answer:

$51.513

Step-by-step explanation:

First you covert 18% to decimal→0.18

Then you multiply 0.18 by 45.35→ 8.163

Finally you add 45.35 to 8.163 to get, 51.513

Answer:

[1  26  7]

Step-by-step explanation:

[1  26  7]

one row three column

==========================================================

Explanation:

We have a 1x3 matrix multiplied with a 3x3 matrix. This is a valid operation since the number of columns in the first matrix matches with the number of rows in the second matrix.

The resulting answer matrix will be 1x3 as it takes the number of rows of matrix A and the number of columns from matrix B, helping forming the answer matrix C.

The answer matrix looks like

\(C = \begin{bmatrix}x & y & z\end{bmatrix}\)

where x, y and z are placeholders for actual numbers.

To get the value of x, we apply the dot product of the left matrix with the first column of the right matrix

x = (-1)(3)+(2)(2)+4(0) = -3+4+0 = 1

We'll do a similar set of steps to find y

Apply the dot product on the second column this time

y = (-1)(6)+2(4)+4(6) = -6+8+24 = 26

and the third column as well

z = (-1)(1)+2(0)+4(2) = -1+0+8 = 7

Since x = 1, y = 26 and z = 7, we can say

\(C = \begin{bmatrix}x & y & z\end{bmatrix}\)

becomes

\(C = \begin{bmatrix}1 & 26 & 7\end{bmatrix}\)

The volume of each ball is (32/3)π cubic inches, and the volume of water just enough to cover the four balls is also (32/3)π cubic inches.

First, let's calculate the volume of each ball. The diameter of each ball is given as 4 inches, so the radius (half the diameter) of each ball is 2 inches. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V represents volume and r represents the radius.

For each ball, the volume is:

V = (4/3)π(2³)

V = (4/3)π(8)

V = (32/3)π cubic inches

Since there are three balls at the bottom of the jar, the combined volume of these three balls would be:

3 * (32/3)π = 32π cubic inches

Now, let's consider the fourth ball. Since it is dropped on top of the three balls, it will displace some water, and the volume of the water needed to cover the four balls will be equal to the volume of the fourth ball.

To find the volume of the fourth ball, we use the same formula:

V = (4/3)πr³

Since the diameter of the fourth ball is also 4 inches, its radius is 2 inches. Substituting this value into the formula, we get:

V = (4/3)π(2³)

V = (4/3)π(8)

V = (32/3)π cubic inches

Therefore, the volume of water required to cover the four balls is also (32/3)π cubic inches.

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Answer:

.75t=180

Step-by-step explanation:

75% of the book = 180

We're looking for 100%. (t)

Let's write a proportion.

\(\frac{75}{100} =\frac{180}{x}\)

Cross-multiply.

75(x)=180(100)

75x=18000

x = 240

The equation is:

.75t=180