Which of the following is equivalent to 5(4-m)-2(m+3)? *

don’t give me that link .

Answer:

Step-by-step explanation:

edge 2021

Answer:

The answer is Option A

Step-by-step explanation:

Start by dividing 54 by 6 which will give you 9

then divide b² by b^5 which will give you b³ at the denominator

then a^8÷a^-4

using indices...

=a^8-(-4)

=a^12

at the numerator

put everything together and you'll have...

9a^12/b³

A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]

To solve the expression in a simpler way, single out the like terms.

Now, we have

[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

Answer:

[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]

Step-by-step explanation:

This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]

[tex]3x^{2} +7x+1=0[/tex]

[tex]ax^{2} +bx+c[/tex]

[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a

[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)

[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6

[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]

Answer:

7.5

Step-by-step explanation:

Median = middle number in terms of value

To make it easier to identify the middle number lets list the number from least to greatest

1, 4, 4, 7, 8, 8, 10, 15

Now we can simply find the middle number

We notice that there are two middle numbers as there is an even amount of numbers

Those two numbers being 7 and 8

When finding the median, if there are two middle numbers, you simply add the two numbers together and divide the sum by two to get the median.

So median = 8 + 7 = 15 / 2 = 7.5

Answer:

7.5

Step-by-step explanation:

The median of a set of numbers is the middle number, so we have to order them first from least to greatest. The order would be 1, 4, 4, 7, 8, 8, 10, 15. You can see that there are an even number of numbers, so if we take the two numbers in the middle of the order (7 and 8) and add them to get 15 and divide 15 by two, we get an answer of 7.5.

I hope this helped you!

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Answer:

C

Step-by-step explanation:

y intercept of the graph is -2

-9x is a very steep gradient

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

554400

Step-by-step explanation:

To answer this question, we use combination as we are just interested in selection rather Than arrangement.

Beyonce songs ; 3 from 8 = 8C3

Justin ; 4 from 12 = 12C4

Drake ; 2 from 5 = 5C2

Version of happy birthday = 1 from 2 = 2C1

Recall :

nCr = n! ÷ (n-r)!r!

However, the answers can also be obtained using a calculator :

8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix

Answer:

RESOLUTION

Step-by-step explanation:

Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.

Answer:

i can not get the answer

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

To learn more about expressions click here:

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Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

Answer:

7. 1583.36 cm³

8. 13,627.18 m³

Step-by-step explanation:

Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder

✔️Volume of Outer Cylinder:

Volume = πr²h

r = ½(12) = 6 cm

h = 14 cm

Volume = π*6²*14

Volume = 1583.36 cm³

✔️Volume of center cylinder:

Volume = πr²h

r = ½(4) = 2 cm

h = 14 cm

Volume = π*2²*14

Volume = 175.93 cm³

✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³

8. Volume of the solid = volume of the cone + volume of the cylinder

✔️Volume of the cone = ⅓πr²h:

r = 13 m

h = 14 m

V = ⅓*π*13²*14

V = 2,477.67 m³

✔️Volume of the cylinder = πr²h

r = 13 m

h = 21 m

V = π*13²*21

V = 11,149.51 m³

✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³

2ax-6ay+bx-3by

2ax+bx -6ay-3by

x(2a+b) -3y(2a+b)

(2a+b) (x-3y)

Answer:

Step-by-step explanation:

2ax -6ay +bx -3by

take common from first two terms and take common from third and fourth term

=2a(x-3y)+b(x-3y)

take common (x-3y) is common

=(x-3y)(2a*1+b*1)

=(x-3y)(2a+b)

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

answer:B

got it right on edg

The function that represents the exponential graph is, [tex]y = 2^{x+2} + 3[/tex].

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

We know a function is called an exponential function when the exponent is the independent variable, For example, aˣ.

From the graph of the function, When x = 0, y = 7.

Observing the options we have,

[tex]y = 2^{x+2} + 3[/tex].

When x = 0.

[tex]y = 2^{0+2} + 3.[/tex]

[tex]y = 2^{2} + 3.[/tex]

y = 7.

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The correct name for a side of the angle is C!

Answer:

C. ED

Step-by-step explanation:

The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Fist of all, we would assign variables to the distance between these astronomical objects as follows:

Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:

Sinθ = Opp/Hyp

Sinθ = EM/y

EM = y × Sinθ

Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

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Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]

Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

the surface area is 263.76 feet²

hope this helps

have a nice day

Answer:

(x + 2)(x + 5)

Step-by-step explanation:

Given

x² + 7x + 10

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)

The factors are + 2 and + 5 , since

5 × 2 = + 10 and 2 + 5 = + 7 , then

x² + 7x + 10 = (x + 2)(x + 5) ← in factored form