Find the rule and solve for n
Please help me I need this now.

Answer:

Step-by-step explanation:

Given:

Isolate the term of y from one side of the equation.

(3y+2)(y-1)

Use the foil method.

[tex]\underline{\text{FOIL METHOD:}}[/tex]

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)

Solve.

[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]

[tex]\sf{3y^2-3y+2y-2}[/tex]

Add or subtract the numbers from left to right.

Solutions:

[tex]\sf{-3y+2y=-y}[/tex]

[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

3y^2-y-2

Step-by-step explanation:

(3y+2)(y–1)

Use the FOIL method

First 3y * y = 3y^2

outer  3y * -1 = -3y

inner  2 * y = 2y

last  2 * -1 = -2

Add them together

3y^2 -3y +2y -2

Combine like term

3y^2-y-2

Answer:

D

Step-by-step explanation:

It goes 2 down. The ' mark shows that it is the new one

Answer:

Step-by-step explanation:

Total number of days

The number of days she bought a banana or orange

The probability of buying a banana or an orange is

Answer:

[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Step-by-step explanation:

Given information:

Total number of days = 30

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of buying a banana:

[tex]\implies \sf P(Banana)=\dfrac{12}{30}[/tex]

Probability of buying an orange:

[tex]\implies \sf P(Orange)=\dfrac{9}{30}[/tex]

Therefore,

[tex]\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}[/tex]

So the probability of buying either a banana or an orange is:

  [tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Answer: Moe is wrong.

Step-by-step explanation:

Moe is incorrect because 25 divided by 5 equals 5 (constant of proportionality) but 12 divided by 3 does not equal 5 (it equals 4)

[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]

Answer:

It would be $13 as the original bill

But the correcy answer is D  

Step-by-step explanation:

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

Using the slope formula (y₂ - y₁/x₂ - x₁):

∴ Any number divided by 0 is undefined

Thus, the slope and the y-intercept are undefined.

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Graph attached

Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

Answer:

the answer is 2.7litres

Answer: 2.7litres

Step-by-step explanation: 1000ml makes 1litre

2700÷1000=2.7

Answer:

247.42 m^2 to the nearest hundredth

Step-by-step explanation:

The surfaces area of the side of the cylinder = 2πrh

= 2π(1)(6)

= 12π m^2.

Now we need the surface area of the cube minus the 2 circles at each end of the  cylinder

= 6^3 - 2πr^2

= 216 - 2π

So the required surface area

=  12π + 216 - 2π

= 217 + 10π

= 247.4159 m^2

Answer:

6cm^2

Step-by-step explanation:

right triangle equation:

bh/2

so

3*4=12/2=6

Answer:

12 Square Units

Step-by-step explanation:

the right triangle: 4 x 3 = 12 12/2 = 6

the left triangle: 4 x 3 = 12  12/2 = 6

Altogether: 6 + 6 = 12

Answer:

Asuming this is a triangle: C = 32.5

Step-by-step explanation:

Asuming this is a triangle:

Use the pythagorean Therom:

[tex]A^2 + B^2 = C^2[/tex]

[tex]26^2 + 19.5^2 = C^2[/tex]

[tex]676+380.25=1056.25[/tex]

[tex]C= \sqrt{1056.25}[/tex]

[tex]C= 32.5[/tex]

Answer: C

Step-by-step explanation:

The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.

Answer:

$155

Step-by-step explanation:

Answer:

-2592

Step-by-step explanation:

this doesn't seem right but its what i got

Answer:

Exterior angle.

Step-by-step explanation:

by my analysis

if hey said triangle XYZ

it should mean each exterior angle is named either X, Y, or Z.

so angle Y should be an exterior angle (outside angle).

but the angle formed by X and Z will be an interior angle (inside angle).

Hope this helps .

Answer:

The answer is C: Remote Interior Angle

Step-by-step explanation:

Took the Test.

Answer:

option D is a correct answer AA postulate

The two triangles are similar by the AA postulate

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔEFG

Let the second triangle be ΔHJK

Now , the corresponding angles are

∠E = 25° = ∠H

So , the two angles are similar

And , the triangles are similar by the AA postulate

Hence , they are similar triangles

To learn more about similar triangles click :

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Answer:

Sum of diagonals = 20 units

Step-by-step explanation:

[tex]A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units[/tex]

To find: Sum of diagonals

[tex]A(rectangle)=l(rectangle)\times w(rectangle) [/tex]

[tex]\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}[/tex]

[tex]\implies l(rectangle)=\frac{25\sqrt 3}{5}[/tex]

[tex]\implies l(rectangle)={5\sqrt 3}\: units[/tex]

Let the diagonals of the rectangle be [tex]d_1\:\&\:d_2\: units[/tex]

Diagonals of a rectangle are equal in measure.

[tex]\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}[/tex]

(By Pythagoras Theorem)

[tex]\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}[/tex]

[tex]\implies d_1=d_2=\sqrt{75+25}[/tex]

[tex]\implies d_1=d_2=\sqrt{100}[/tex]

[tex]\implies d_1=d_2=10\: units[/tex]

[tex]Sum \:of \:diagonals = d_1+d_2[/tex]

[tex]\implies Sum \:of \:diagonals = 10+10[/tex]

[tex]\implies Sum \:of \:diagonals = 20\: units[/tex]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

Answer:

104π cm²

Step-by-step explanation:

Surface Area of cylinder

Given (from the figure)

Solving

Answer:

[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]

Explanation:

Use the Keep Change Flip method.  Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]

Multiply the numerators and the denominators separatley.  [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).  [tex]\frac{21}{8} =2\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]9 \\ {x}^{2} = 225 \\ x = 15 \\ .......... \\ 10 \\ {x}^{2} = 676 \\ x = 26[/tex]

Answer:

4 units to the right on the x- axis & 20 units up on the y-axis

Step-by-step explanation:

X-Axis= horizontal-------

Y-Axis= Vertical  I I I

The first ordered pair is 4 which goes on the X axis (left to right) left is negative right is positive.

next is 20 on the y axis (up and down) . the y axis is like an elevator up is positive and down is negative

Answer:

40 so C would be your answer.

The third quartile of the data set is 38.

Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.

There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.

Arranging the data set in ascending order:

14, 18, 20, 21, 25, 32, 38, 42, 48

The data set has 9 values, so the third quartile will be the value at the

(9 0.75)th position

= 6.75th position.

Since we can't have a fractional position, we round up to the nearest whole number, which is 7.

The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.

Learn more about Quartile here:

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Answer:

[tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

The opposite of -2\3 is 2\3

-

-5\7 + 2\3

Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.

-

-15\21 + 14\21

Sinse -15\21 and 14\21  have the same denominator, add them by adding their numerators.

[tex]\frac{-15+14}{21}[/tex]

-

Add −15 and 14 to get −1.

-1\21

Answer:

322, 468, 35, 48, 28.5

Step-by-step explanation:

23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5

Answer:

23x14=322ft

18x28=468ft

5x7=35ft

8x6=48ft

3x9.5=28.5

Step-by-step explanation:

hejdbsisugebe

Answer:

See below

Step-by-step explanation:

27 ^1/5      is the radical sign with a 5 in the V portion   and   27   under the horizontal bar portion       ====>   the 1/5th root of 27

Answer:

⁵ 27

i dont know how to get the line think

A tree struck by lighting broke at a point 13 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot?

13² + 38² = c², so 169 + 1444 = c², 1613 = c², and 40.2 ≈ c.

Add this length to the height of the bottom tree: 40.2 + 13 = 53.2 ft.

The height of the tree was about 53.2 ft.

Explanation:

Solved using pythagoras theorem.