What are the measures of angles 1,2, and 3?

The solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

Equation to be solved is:

log (2 x + 1) = 3x-2

The solution to two functions is the corresponding x value where graphs of two functions intersect.

From the attached diagram, we can see that the two graphs intersect at x=-0.5 and x=0.8.

Therefore,the solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

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Answer: it’s B

Step-by-step explanation:

took the test

Answer:   do this

1/3+-x/4=7/12

Step-by-step explanation:

4.1/3/4+-x/4=7/12

Answer:

The radius of a rubber ball, r = 4.5 cm

We need to find the volume of this rubber ball.

The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3V=34πr3

Put r = 4.5 cm in the above formula

\begin{gathered}V=\dfrac{4}{3}\pi \times (4.5)^3\\\\V=381.70\ cm^3\\\\\text{or}\\\\V=382\ cm^3\end{gathered}V=34π×(4.5)3V=381.70 cm3orV=382 cm3

So, the volume of this sphere ball is 382\ cm^3382 cm3 .

Answer:

51

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Answer: 800$ is the answer.

multiply to by both sides, remove 1/2.

Have a blessed day.

a. The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

b. The volume of the new rectangular box is 270 in³

Since the small box is a rectangular prism, its surface area, A = 2(lb + lh + bh) where

Now, when the dimensions are tripled, its new area is A' = 2(LB + LH + BH) where

So, A' = 2(LB + LH + BH)

= 2((3l)(3b) + (3l)(3h) + (3b)(3h))

= 2(3)(3)(lb + lh + bh)

= 18A

The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

Now, since we require 1/8 of a roll of wrapping paper to initially cover all 6 sides of the small box with dimensions, l,b and h. Then the number of rolls we require to cover the box when its dimensions are tripled are (since the area is proportional to the number of rolls)

N = 18 × 1/8

= 18/8

= 9/4

= 2¹/₄ rolls

The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

The volume of the new rectangular box is 270 in³

The volume of the rectangular box V = lbh where

When the dimensions are tripled, V' = LBH where

So, V' = LBH

= (3l)(3b)(3h)

= 27lbh

= 27V

Now since the initial volume of the rectangular box, V = 10 in³

V' = 27V

V' = 27 × 10 in³

V' = 270 in³

So, the volume of the new rectangular box is 270 in³

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Answer:

1) (x+5²)=x²+10x+25

2)(m-4²)=m²-8m+16

3)(3y-2²)=3y-4

4)(½y-50)(⅗y+10)=3/10y²-25-500

5)(n-6)(n-7)=n²-13n+42

6)(3d-2)(3d+2)=9d²-4

7)(a-12)(a+12)=a²-144

8)4(3d+1)(3d-1)=36d²-4

9)(2ab+3c)(2ab-3c)=4(ab²)-9c²

10)(2mn-5²=2mn-25

Step-by-step explanation:

1) (x+5²)=

step 1

expand the square

(x+5²)

(x+5)(x+5)

step 2

distribute

(x+5)(x+5)

x(x+5)+5(x+5)

step 3

distribute

x(x+5)+5(x+5)

x²+5x+5(x+5)

step 4

distribute

x²+5x+5(x+5)

x²+5x+5x+25

steps 5

combine like terms

x²+5x+5x+25

x²+10x25

solution=x²+10x25

Answer:7)(FOIL) a^2-144  

7) (distributive property) 0

Step-by-step explanation:

(using distributive property)

(a-12)(a+12)

Rewrite

a(a+12)-a(a+12)

Multiply

a^2+12a-a^2-12a

Combine like terms

a^2-a^2=0

12a-12a=0

0+0=0

0

(expand using FOIL)

(a-12)(a+12)

Front

a*a=a^2

Outside

a*12=12a

Inside

-12*a=-12a

Last

-12*12=-144

Put together

a^2+12a-12a-144

Combine like terms

a^2-144

Answer:

19.3 + n  = 30.4

Step-by-step explanation:

hope this helps :)

Answer:

30.4/15 = 2 2/75

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 30.4 by 15 and keep only what is to the left of the decimal point:

30.4 / 15 = 2.026666667 = 2

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

30.4- (15 x 2) = 0.4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 30.4/15 as a mixed number is:

2 0.4/15 = 2 2/75

Answer:

-6

Step-by-step explanation:

(-1) * (-2) * (-3)

= (2) * (-3)

= -6

Let that be x

[tex]\\ \rm\hookrightarrow \dfrac{x}{3}=\dfrac{1}{6}[/tex]

[tex]\\ \rm\hookrightarrow 6x=3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5lbs[/tex]

Step-by-step explanation:

1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;

3) using the two equations it is possible to make up the system:

[tex]\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.[/tex]

4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.

5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.

Answer:

31. 122

32. 2400 cans

Step-by-step explanation:

31.

fig 1=1

fig 2=10

fig 3=26

fig 4=50

fig 5=82

fig 6=122

32. 520/13=40

40(60)=2400

Answer:

3 copies

Step-by-step explanation:

2/3 * 45 is 30

2/5 * 30 is 12

12+30= 42

45-42=3

I believe this is correct

Answer:

3

Step-by-step explanation:

If 2/3 of 45 were sold then what is left is 1 - 2/3 = 1/3 of 45 or (1/3)*45 = 15 copies.

Then 4/5 of 15 were sold and what is left is 1 - 4/5 = 1/5 of 15 or 3 copies.

Answer:

9/4

Step-by-step explanation:

[tex] - 16 {t}^{2} + 28t + 18 = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t - \frac{9}{8} = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t = \frac{9}{8} [/tex]

[tex] {t}^{2} - \frac{7}{4} + \frac{49}{64} = \frac{9}{8} + \frac{49}{64} [/tex]

[tex](t - \frac{7}{8} ) {}^{2} = \frac{121}{64} [/tex]

[tex]t - \frac{7}{8} = ± \frac{11}{8} [/tex]

[tex]t = \frac{18}{8} = \frac{9}{4} [/tex]

Answer:

Step-by-step explanation:

The measure of angle ∠WOV is 60 degrees and The measure of angle ∠YOZ is also 60 degrees.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠WOX = 30

It can be seen that the ∠XOY and ∠VOX are equal and 90 degrees.

The measure of angle ∠WOV will be

∠WOV + ∠WOX = 90

     ∠WOV + 30 = 90

             ∠WOV = 60

The measure of angle ∠YOZ will be

∠WOX + ∠XOY + ∠YOZ = 180   (Supplementary angle)

          30 + 90 + ∠YOZ = 180

                           ∠YOZ = 60

Answer:

Step-by-step explanation:

See attached image.

Answer:

what is the answer for 6x+4

ANSWER : 2(3x+2)

Answer:

Hi I'm always here to help!!!

_______________________

FACTOR

2(3x+2)

_______________________

Have A Great Day!!

Answer:

7. 14. 21.28

Step-by-step explanation:

Multiply 7 four times

Answer:

Step-by-step explanation:

Here is your Answer:-

4 = whole number 1 = numerator 7 = denominator To convert mixed number 4 1/7 to improper fraction, you follow these steps: Multiply the whole number by the denominator 4 × 7 = 28.

The improper fraction of the mixed number 4 1/7 is given by A = 29/7

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number be represented as A

Now , the value of A is

A = 4 1/7   be equation (1)

On simplifying the equation , we get

To convert the mixed number to improper fraction ,

A = [ ( 4 x 7 ) + 1 ] / 7

On further simplification , we get

A = [ 28 + 1 ] / 7

A = 29 / 7

Hence , the improper fraction is 29/7

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Answer:

m<32

Step-by-step explanation:

Answer:

7x+33°+70°=180°

7x= 180°-103°

7x= 77°

x= 11°

..............

Answer:

B: A depth of 7 feet brlow sea level.

Answer:

Value = 4

Step-by-step explanation:

32÷2-12

16-12

4

Step-by-step explanation:

7cm 5cm 15cm

7cm x 5cm

=35cm

35cm x 15cm

=525cm

Answer:

The answer is B) 8-⁶, hope that helped!

Answer:

The answer is C. 8^6

Cone surface area:

πr(r + s)

= 3,14 × 3 × (3 + 7)

= 3,14 × 3 × 10

= 9,42 × 10

= 94,2 m²

Nt: I from IDN