Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a

Answer:

[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.

Hope this helped you, Also please let me know if anything is unclear or wrong!

Answer:

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

d looks even if that makes sense

Answer:

C cannot be represented by a linear function

Step-by-step explanation:

We can draw a line to represent the points, then it would be a linear functions

A,B and D can be represented by a linear function

C is a curve

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

Learn more on standard deviation here: https://brainly.com/question/475676

Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer:

The additive inverse of the polynomial  being subtracted is -0.612-8+181

Step-by-step explanation:

Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)

Now the polynomial being subtracted : (0.612 + 8 - 181)

Additive inverse : The number in the set of real numbers that when added to a given number will give zero.

So, Additive inverse of 0.612 = -0.612

Additive inverse of 8 = -8

Additive inverse of -181 = 181

So, The additive inverse of polynomial being subtracted : -0.612-8+181

So, Option B is true

Hence the additive inverse of the polynomial  being subtracted is -0.612-8+181

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

4.4 km/h

Step-by-step explanation:

From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h

So the trick is to express the 30 minutes as 1/2 hour.

Answer:

4.4 km/h

Step-by-step explanation:

Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

Answer:

65

Step-by-step explanation:

The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.

180-90-25=65

Answer:

65

Step-by-step explanation:

right angle=90

[tex] {90}^{0} [/tex]

therefore 90-25=the third angle 65

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

Work Shown:

P = area of triangle

P = 0.5*base*height

P = 0.5*5*4

P = 10 square units

----------------

Q = area of square

Q = side*side

Q = 5*5

Q = 25 square units

----------------

R = area of trapezoid

R = height*(base1+base2)/2

R = 5*(7+5)/2

R = 5*12/2

R = 60/2

R = 30

----------------

T = total area of the entire figure

T = P+Q+R

T = 10+25+30

T = 65 square units

Answer: 71 sq. units

Step-by-step explanation:

formula: 1/2bh + lw + 1/2h(b1+b2)

1/2(20) + (25) + 1/2 (6) (12)

10 + 25 + (3) (12)

10+ 25 + 36 = 71

Question:

Select the three expressions that are equivalent to [tex]6^2[/tex]:

a: [tex](\frac{6^9}{6^8})^2[/tex]

b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Answer:

a: [tex](\frac{6^9}{6^8})^2[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Step-by-step explanation:

Given

[tex]6^2[/tex]:

Required

Find equivalent expressions

To solve this question; we'll simplify options a to do, one after the other

a: [tex](\frac{6^9}{6^8})^2[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that;

[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]

[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]

From laws of indices;

[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]

This implies that

[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]

[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]

Hence,  [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]

b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]

Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]

c.  [tex]\frac{6^4}{6^2}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]

[tex]\frac{6^4}{6^2} = 6^{2}[/tex]

Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]

d.  [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]

Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]

Answer:

Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of  old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.

You cna show this as workings to prove or follow any of the below statements.

Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find  = 62.5 and it's 30% standing value of 67.5  as +1% increase shows us 31% = 69.7  ( 0.31 x 225 = 69.74)

Step-by-step explanation:

88/225  = 0.39111111111 = 39.11%%

P value 01 = 1%  =  225.225 or 5% range of alternative hypotheses.

To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean  (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with  Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.

We can then show 225.225 -  Ha or H1  then graph the probability of obtaining a sample mean that is at least extreme in both tails  Ha or H1

However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%

We prove that 30-1 =29  where 29% of 225 = 225 x 0.29 = 65.25

this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88

This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .

We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.

34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1

Where as shown

30 = 0.3 x 225 = 67.5

76.5475 - 67.5 = 9.04 difference when comparing old method = +1%

where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5  as +1% and 31% = 69.7  ( 0.31 x 225 = 69.74)

You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%

NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.

Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.

Answer:

15/28

Step-by-step explanation:

3 3/7 ÷ 6 2/5

Change to improper fractions

(7*3+3)/7 ÷ (5*6+2)/5

24/7 ÷32/5

Copy dot flip

24/7 * 5/32

Cancel an 8 from the numerator and denominator

3/7 * 5/4

15/28

Answer: 15/28

Explanation: First write each mixed number as an improper fraction.

As a quick review, to write a mixed number as an improper fraction,

we multiply the denominator times the whole number,

then we add the numerator.

First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.

So we have 24/7 ÷ 32/5.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.

Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.

So we have 3/7 × 5/4 which is 15/28.

Answer:

x= 70

Step-by-step explanation:

This question needs an attachment; see attached

Given

ABD = 55

Required

Find x?

In the figure shown in the attachment, angle b and ABD are alternate interior angles;

From parallel and perpendicular line theorems; alternate interior angles are equal.

This implies that <b = 55

Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;

where 2 sides and 2 angles are equal;

This implies that <b = <c = 55

Sum of angles in a triangle  = 180;

So,

<x + <b + <c = 55

x + 55 + 55 = 180

x + 110 = 180

Subtract 110 from both sides

x + 110 - 110 = 180 - 110

x = 180 - 110

x = 70

Answer:

f(3) is 30

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

1st Choice

Step-by-step explanation:

The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.

Answer:

A

Step-by-step explanation:

g(x)=∛(x-4)

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

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Answer:

x = 4/(11y)

Step-by-step explanation:

22yx = 8

Solve for x so divide each side by 22y

22xy/22y = 8/22y

x = 4/(11y)

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

Option C.

Step-by-step explanation:

It is given that James earns $1000 weekly base pay as a sales-person.

We know that, we have 4 weeks in a month. So, monthly salary of james is

Monthly income [tex]=\$1000\times 4=\$4,000[/tex]

It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.

Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]

Total amount = Monthly income + Commission

          [tex]=\$4,000+\$2,000[/tex]  

          [tex]=\$6,000[/tex]  

Therefore, the correct option is C.

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)