1) d= 7.4 mm
Calculate the area of the circle.

2) r=2.2 yd.
Calculate the circumference of the circle.

3) d = 5 cm
Calculate the circumference of the circle.

4) d = 6 m
Calculate the circumference of the circle.

5) r = 2.1 m
Calculate the area of the circle.

6) r=1.3 mm
Calculate the circumference of the circle.

The value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

It is given that the [tex]\rm log_7343[/tex]

It is required to find the value of  [tex]\rm log_7343[/tex]

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have  [tex]\rm log_7343[/tex]

We know the logarithm properties that:

[tex]\rm log_ac^n = n\times log_ac[/tex]

[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]

We can write [tex]\rm log_7343[/tex] as

= [tex]\rm log_77^3[/tex]   (∵ 343 = [tex]7^3[/tex])

= [tex]\rm 3log_77[/tex]    [tex]\rm (log_ac^n = n\times log_ac)[/tex]

= 3            [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]

Thus, the value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

Learn more about the logarithm here:

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Answer:

D

Step-by-step explanation:

Answer:

The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10

Step-by-step explanation:

[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]

[tex]y = 10[/tex]

Answer:

the anwer is d

I did the math

Answer:

h = 0.79591836734694 m

Step-by-step explanation:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

Answer:

1. D, 2. B

Step-by-step explanation:

1. D. 1.15b

2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5

Hope this helps :)

Answer:

12

Step-by-step explanation:

have a good day n ily :)

Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

Answer:

he arrived at 11:05 am.....

Answer:

12:25pm

Step-by-step explanation:

10:30 + 40 minutes = 11:10

11:10 + 1hr and 15 mins = 12:25

Answer:

The base is equal to 30

And the Hight is equal to 15

Step-by-step explanation:

30 * 15 ÷2 = 225

Answer:

2x^2 - 10x - 8.

Step-by-step explanation:

f(x) = 2(x - 1)(x + 4)    

= 2(x^2 - x - 4x - 4)

= 2(x^2 - 5x - 4)

= 2x^2 - 10x - 8.

Answer:

[tex]2m[/tex]

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

They give us the area as [tex]6m^2[/tex], so let's include it in the equation.

[tex]6 = \frac{1}{2}bh[/tex]

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]

So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].

You will now get:

[tex]6 = \frac{1}{2}b(b-4)[/tex]

Now we can work towards solving. Let's get simplifying.

[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]

bring everything to one side so we can make a quadratic and factor:

[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]

We get that [tex]b=6[/tex].

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.

[tex]h = (6) - 4 = 2[/tex]

We find that [tex]h=2[/tex]

Answer:

z = 180°

Step-by-step explanation:

First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.

S = (n-2)180

S = (6 - 2)180

S = (4)180

S = 720°

Next, make an equation adding all the interior angles and setting them equal to 720.

t + t + 2t + t + t + 2t = 720

8t = 720

8t/8 = 720/8

t = 90°

Finally, find the measure of angle z by substituting 90° for t.

z = 2t

z = 2(90)

z = 180°

Answer:

I think its 3,4 maybe

Step-by-step explanation:

try it out but I'm not sure

Answer:

  3x³ and 6x³, y and 7y

Step-by-step explanation:

Like terms have variables with the same exponents. This fact eliminates choices A, C, D.

The like terms are ...

  3x³ and 6x³, 7y and y . . . . . . choice B

Answer:

14.6

Step-by-step explanation:

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

Answer:

1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]

Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]

Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

Answer:

Yes they are similar

Step-by-step explanation:

Divide the length VW by ST

24 ÷ 16 = 1.333

Divide the length VU by SR

16 ÷ 12 = 1.333

→ As they have the same scale factor, they are similar.

Answer:

Step-by-step explanation:

First when triangles are similar angles are congruent and the side ratio are the same .

18/24=12/16=m/32

3/4=3/4=m/32

3/4=m/32

4m=96

m=24

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).

Answer:

The perimeter is 24 feet :]

hope this helps! <33

Answer:

12 feet

Step-by-step explanation:

The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.

4 + 2 + 4 + 2 = 12

So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

Step-by-step explanation:

a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).

so, when one side is 16 cm, then there is a second side with 16cm.

the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.

and we know the length of one of these pairs : 2×16 = 32 cm.

what is left for the second pair of sides ?

48 - 32 = 16 cm

so, these 16 cm is the sum of a pair of equally long sides. that means their are

16/2 = 8 cm

long each.

so, the length of the "remaining" side is 8 cm.

Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.

In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.

Details of transactions for the month of October are given as:

Date     Transaction/amount            Details

10/1             $1,240.55                   beginning balance

10/2            $36.43                            purchase

10/10           $75.00                            payment

10/13          $131.79                             payment

10/20          $41.52                             purchase

10/22          $25.00                            purchase

Total balance at the end of October

= 1240.55+36.43-75-131.79+41.52-25

Total balance at the end of October =$1136.71

Therefore, Jessica’s adjusted balance for October is $1136.71.

To get more about the adjusted balance method visit:

https://brainly.com/question/1808408

Answer: b.) 1,033.76

Step-by-step explanation:

so the equation is 1 1/3 ÷ 1 2/5

simpilify it

4/3 ÷ 7/5

since its division, you want to make it multiplication to you switch the fractions around.

you get the equation 3/2 * 5/7

which is 15/14

that converted to a improper fraction is 1 1/14

answer: 1 1/14

The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.

[tex]V=A_b\times h[/tex]

Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.

The side of the base of the triangular prism is x units. Thus the area of the base is,

[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]

The height of this prism is (x+2) units long. Thus, the volume of the prism is,

[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]

Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

Learn more about the volume of a prism here;

https://brainly.com/question/4016105

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

whole thing right on edge

Answer:

2

Step-by-step explanation:

i was told it was correct and 3x1=3   6 divided by 3=2

is how i figured it out.

This being a piecewise function, trying to solve f(2), we must find which two equations we can use.

We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2

   --> f(2) = 3(2) + 1 = 7

Hope that helps!