The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
75, 90, 108, ...
Find the 7th term.

Answer:

(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).

Step-by-step explanation:

x² + 2x - 35:

what multiplies into -35 and adds into 2?

7 and -5

so the top is now (x + 7)(x - 5)

x² + x - 42

what multiplies into -42 and adds into 1?

-6 and 7

so the bottom is now (x + 7)(x - 6)

the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)

Answer:

[tex]\frac{x-5}{x-6}[/tex]

Step-by-step explanation:

Let's start with the numerator to factor it.

We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]

Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:

[tex]x^2+x-42=(x+7)(x-6)[/tex].

Now you can simplify

[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]

Answer:

82

Step-by-step explanation:

The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82

Answer:

82.

Step-by-step explanation:

The sum of the 5 tests must be 5*78 = 390 for the average to be 78.

So in the last test is grade must be 390 - (83+81+70+74)

= 390 - 308 = 82.

Answer:

Step-by-step explanation:

a and b are the parallel sides of the trapezoid.

In the graph, each unit = 2

a = 8 & b= 4

height = h = 8

[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]

                              [tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]

Answer:

A ≈ 160 cm²

Step-by-step explanation:

the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is

A = absinΘ

here a = 12 , b = 15 and Θ = 117° , then

A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )

in∆BDC

use sine rule for area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]

[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]

[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]

Answer:

angle e o f and c o e

Step-by-step explanation:

please mark me brainliest

Acute angle is the answer which is A

Answer:

sin = opp / hyp

cos = Adj / hyp

tan = opp / adj

7. cos 41 = x / 86

8. sin x = 5/13

9. cos x = 9/37

10. tan 61 = x/28

11. sin 41 = x/65

12. tan x = 79/84

Step-by-step explanation:

Answer: 110 degrees

Step-by-step explanation:

A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.

So the m<1 = 110°

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Please check the attached file for an explanation.

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A

y=4x

8/2=4. .and the rest too have the same value

Answer:

I showed the answers in the pic above ^

Step-by-step explanation:

I hope this helps you!

Answer:

Step-by-step explanation:

Answer:

4x + 2

Step-by-step explanation:

x - 1 is adding an x and subtracting a 1 ,so

x + x + x + (x - 1) + 1 + 1 + 1

= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms

= 4x + 2

x - 13 < - 11

x < - 11 + 13

x < 2

Answer:

1.

The radius is given, so the radius is = 10

The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter

And to solve for circumference, your formula is;

C = 2πr

Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.

Plug in your values:-

C = 2πr

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8, so your circumference is 62.8.

2.

Your radius is half of your diameter, so,

D/2 = R

D = diameter

R = Radius

49/2 = 24.5 is your radius.

Your diameter is given, so the diameter is 49.

Use the formula we applied for circumference in our other problem;

C = 2πr

C = 2(3.14) x 24.5

C = 6.28 x 24.5

C = 153.86, so 153.86 is your circumference.

Answer:

62.28divided by 0.75 = 83.04

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Answer:

1

Step-by-step explanation:

[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]

[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]

Based on the cities you will go through and your starting and finishing points, your father's estimate is a close estimation of the distance.

The map is not provided so we will use a general map.

The distance from San Jose to Denver is around 1,301 miles.

The distance from Denver to Chicago is around 1,004 miles.

The distance from Chicago to New York is around 796 miles.

Added together we get:

= 1,301 + 1,004 + 796

= 3,101 miles

This is close to the 3,000 miles your father estimated.

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Answers:

Reason 23: Given

Reason 24: Reflexive Property

Reason 25: AAS

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

Explanation:

Reason 23 is given because we simply restate the initial facts word for word. Whatever is said at the top "given" is copy/pasted into the table below. This explains why the second reason is "given" as well.

Reason 24 is "Reflexive Property" because any segment is congruent to itself. Think "reflexive" as in "mirror reflection".

For reason 25, we will use the AAS (angle angle side) congruence theorem. This is because we have two pairs of congruent angles (statement 1 and statement 2) as well as a pair of congruent sides (statement 3). We don't use ASA because the side FY is not between the angles mentioned. The order is important. Check out the diagram below. Take note of the color coding for the angles.

Answer:

The first one

"Only Lillie is correct" that's the right answer.

Step-by-step explanation:

64^2/3 = 16

Answer:

1/4

Step-by-step explanation:

4/4-3/4=1/4

Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

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Answer:

first pattern: +2, +3 (repeated)

first missing terms: 19, 24

second pattern:  *2, +1

second missing terms: 30, 31

Step-by-step explanation:

first pattern:

1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).

2. repeat until to prove the pattern, +2, +3

3. apply pattern to missing term, (16+2=19) and (21+3=24)

second pattern:

1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)

2. find pattern from calculation, *2, +1.

3. apply pattern to missing terms, (15*2=30) and (30+1=31).

hope this helped! ♡

The cost of the horse given the amount received at the end of 6 months is 600

let

6/12 × 1200 + 6h/12 = 400 + h

700 + 6h / 12 = 400 + h

700 - 400 = h - 6h/12

300 = 12h - 6h / 12

300 = 6h/12

300 × 12 = 6h

3600 = 6h

h = 3600 / 6

h = 600

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The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.

The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

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Step-by-step explanation:

The answer is in the picture

[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]

[tex]for \: x = 15y[/tex]

[tex]50x = 50(15) = 750.00[/tex]

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9x - 1 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x = 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{8}{9} [/tex]

Answer:

7

0.37 is closest to 0 but probably 1

3

16

Answer:

that's wrong

Step-by-step explanation:

for n = 1

n^(2n)=1²=1

and 2 doesnt devide 1