(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8

See image attatched below for the options given

Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

Read more about logarithms at:

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Answer:

its answer is in high school is ten

Answer:

6.5

Step-by-step explanation:

You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)

6.5 is the total rate of change per months

Answer: 8.223in less rain fell today.

Step-by-step explanation:

38in. - 29.777in. = 8.223in

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

Answer:

y=1/3x+5

Step-by-step explanation:

Answer:

b=12.20

Step-by-step explanation:

its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

[tex]I=640\times 0.039\times 8[/tex]

[tex]I=199.68[/tex]

So, the interest is $199.68.

Now, amount after 8 years is

[tex]A=P+I[/tex]

where, P is principal and I is interest.

[tex]A=640+199.68[/tex]

[tex]A=839.68[/tex]

Therefore, the amount after 8 years is $839.68.

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Answer:

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

Hope this helped,

Kavitha Banarjee

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]

[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]

[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]

[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]

[tex]d\approx 3.2[/tex]

The distance from the point to the line is approximately 3.2 units

Answer:

23

Step-by-step explanation:

m∠A=cos⁻¹(35/38) = 22.91954215

round your answer to the nearest tenth.

23 degrees is the measure of the indicated angle in the triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angled triangle.

The side lengths of triangle are 35 and 38.

We have to find the measure of the angle opposite to the right angle.

By using cosine function formula we calculate it.

CosA=Adjacent side/Hypotenuse

CosA=35/38

m∠A=cos⁻¹(35/38)

= 22.91954215

Hence, 23 degrees is the measure of the indicated angle.

To learn more on trigonometry click:

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Answer:

1092 is divisible into 1, 7, or 1092.

Step-by-step explanation:

Step-by-step explanation:

1092 / 1 = 1092

1092 / 2 = 546

1092 / 3 = 364

1092 / 4 = 273

1092 / 6 = 182

1092 / 7 = 156

1092 / 12 = 91

1092 / 13 = 84

1092 / 14 = 78

1092 / 21 = 52

1092 / 26 = 42

1092 / 28 = 39

1092 / 39 = 28

1092 / 42 = 26

1092 / 52 = 21

1092 / 78 = 14

1092 / 84 = 13

1092 / 91 = 12

1092 / 156 = 7

1092 / 182 = 6

1092 / 273 = 4

1092 / 364 = 3

1092 / 546 = 2

1092 / 1092 = 1

Answer:

[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]

: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]

To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.

➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]

➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]

➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]

Hope I helped !

Have a wonderful time ! ッ

~TheAnimeGirl

Answer:

o very easy hahaha I should tell step by step or shortcut

Answer: b= -4

Step-by-step explanation:

Answer:

y = 9(2 - x)/4

Step-by-step explanation:

1.) Subtract 9x from both sides.

4y = 18 - 9x

2.) Divide both sides by 4.

y = 18 - 9x/4

3.) Factor out the common term 9.

y = 9(2 - x)/4

My words:

Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?

The y intercept of the equation of the line  4y+9x=18 is 4.5.

For the given question,

The equation of the line is given as;

4y+9x=18

Write the equation in slope intercept form.

y = mx + c

Where, m is the slope and c is the y intercept.

4y = -9x + 18

y = -9x/4 + 9/4

y = -9x/4 + 4.5

Comparing with the standard form, y intercept is found as 4.5.

Thus, the y intercept of the equation of the line  4y+9x=18 is 4.5.

To know more about the y-intercept, here

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Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

Answer:

10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger

Step-by-step explanation:

Answer:

7.68h

38.4 + 7.68h

Step-by-step explanation:

Earnings per hour = $7.68

This week Kaley worked 5 more hours than Tom in overtime

h = number of hours Tom worked.

Tom's total earnings for the week = earnings per hour × number of hours

= $7.68 × h

= 7.68h

Tom's total earnings for the week = 7.68h

Kayley's total earnings for the week = earnings per hour × number of hours

He works 5 hours more than Tom in overtime.

Tom = h

Kayley = 5 + h

Kayley's total earnings for the week = earnings per hour × number of hours

= (7.68) × (5 + h)

= 38.4 + 7.68h

Kayley's total earnings for the week =

38.4 + 7.68h

Answer:

346380

Step-by-step explanation:

hope you gwt an a

Answer:

50%

Step-by-step explanation:

hope this helped

Answer:

m<1

Step-by-step explanation:

If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is

[tex]b^2-4ac>0\cdots(i)[/tex].

The given expression is [tex]x^2-2x+m[/tex].

Here, a=1, b=-2 and c=m.

So, by using equation (i),

[tex](-2)^2-4(1)(m)>0[/tex]

[tex]\Rightarrow 4-4m>0[/tex]

[tex]\Rightarrow 4m<4[/tex]

[tex]\Rightarrow m<4/4[/tex]

[tex]\Rightarrow m<1[/tex].

Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.

Answer:

9

Step-by-step explanation:

1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9

Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation: