simplify (5^x+2-5^x)/5^x×4

We can use the Pythagorean theorem to solve. (a² + b² = c²)

Fill in with what we know → 6² + b² = 11²

Simplify → 36 + b² = 121

Subtract 36 to both sides → 36 - 36 + b² = 121 - 36

Simplify → b² = 85

Take the root of both sides → √b² = √85

Simplify → b = 9.2195...

Round if necessary → 9.2195 = 9.22

Hence, b equals 9.2195.. (unrounded) or 9.22 (rounded).

Best of Luck!

The expression which represents the sum of the quantity h and 3 divided by 6 is (h+3)/6 so option (C) is correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

The sum of the quantity h and 3 = h + 3

It is divided by 6 so, (h + 3)/6

Hence "The expression which represents the sum of the quantity h and 3 divided by 6 is (h+3)/6".

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Answer:

The function which represent the phone value after x years                      f = i [tex](0.37)^{x}[/tex]

Step-by-step explanation:

Given as :

The rate of depreciation of i-phone value each year = r = 63%

The initial value of i-phone = $ i

The final value of i-phone = $ f

The time period for depreciation = x year

Now, According to question

The final value of i-phone = The initial value of i-phone × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, $ f = $ i × [tex](1-\dfrac{\textrm r}{100})^{\textrm time}[/tex]

Or, $ f = $ i × [tex](1-\dfrac{\textrm 63}{100})^{\textrm x}[/tex]

Or, $ f = $ i × [tex](0.37)^{x}[/tex]

So, The function which represent the phone value after x years =                    f = i [tex](0.37)^{x}[/tex]

Hence, The function which represent the phone value after x years                     f = i [tex](0.37)^{x}[/tex]  Answer

Answer:

Step-by-step explanation:

1. m = -1/5

2. c = -9.75

3. q = 0

Answer:

m = 89/56 = 1  33/56

(Can be simplified to 1.58)

Hi! The correct answer is 2. g(x) = log3 (x) + 5. Message me if you need further help.

The transformation of a function may involve any change. The correct option is 2. The value will be g(x) = log₂(x+5).

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)

Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

As we know to shift a function towards the left horizontally, we need to add the number of units to the value of x. Therefore, the function of g(x) will be written as,

g(x) = log₂(x+5)

Hence, the correct option is 2. The value will be g(x) = log₂(x+5).

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Answer:

see the attached figure

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding sides are proportional and its corresponding angles are congruent

Corresponding sides are named using pairs of letters in the same position on either side of the similarity statement

Corresponding angles are named using a letter in the same position on either side of the similarity statement.

therefore

Corresponding angles

∠D and ∠R

∠E and ∠S

∠F and ∠T

Corresponding sides

DE and RS

EF and ST

DF and RT

Answer  8.17

Step-by-step explanation:

1.divide 98 by twelve, since there are 12 inches in a foot

98 \ 12

2.then round to the nearest tenth. 8.16 is rounded to  8.17

Answer:

My personal opinion to this question would be 20 times greater.

Step-by-step explanation:

This is because in a car, there is more safety as there is airbags for the driver and the passenger seat also if the people sitting on the back, lean forward from the crash, they would most probably hit their head on the headrest.

Number of students in senior class is 130

Solution:

Given that Every student in the senior class is taking history or science

85 of them taking both history and science

106 seniors takes history

109 seniors takes science

To find: number of students in senior class

Let A be the set of the students of the senior class that take history

Let B be the set of students of senior class that they science

The number of students in senior class is given by:

[tex]|A \cup B|=|A|+|B|-|A \cap B|[/tex]

Where,

A = 106 and B = 109 and |A n B| = 85

[tex]|A \cup B|=106+109-85=130[/tex]

Thus number of students in senior class is 130

Answer:

130

Step-by-step explanation:

Since 106 seniors are taking history and 109 seniors are taking science. If we add those numbers of seniors up we get 215, then we subtract the number of seniors that are taking both history and science because we counted them twice. So the total is 215 - 85 = 130. Therefore there are 130 students in the senior class.

Answer:

184.08

Step-by-step explanation:

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Given,

Volume of small box = 10 cubic feet

Volume of large box = 24 cubic feet

Total boxes shipped = 23

Combined volume = 426 cubic feet

Let,

x represent the number of small boxes.

y represent the number of large boxes.

x+y=23    

10x+24y=426

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Keywords: linear equation, addition

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Answer:

43

Step-by-step explanation:

Remove parenthesis.

−6+3(2−4⋅−3+6)−5

Multiply −4 by−3.

−6+3(2+12+6)−5

Add 2 and 12.

−6+3(14+6)−5

Add 14 and 6.

-6+3(20)-5

Multiply 3 by 20.

-6+60-5

Add -6+60.

54-5

Subtract 54 and 5.

43

Sorry, but I don't see any information for me to use to answer that question.

There are 20 number of DVD's in Louis collection

Solution:

Let "J" be the number of DVD's with Jake

Let "B" be the number of DVD's with Bo

Let "L" be the number of DVD's with Louis

Given that Jake owns twice as many DVDs as Louis

So we can say,

number of DVD's with Jake = 2(number of DVD's with Loius)

J = 2L  ------ eqn 1

Given that Bo has sixty fewer DVDs than five times Louis’s collection

So we can say,

number of DVD's with Bo = 5 times number of DVD's with Louis - 60

B = 5L - 60 ---- eqn 2

Given that Jake and Bo have the same amount of DVDs

number of DVD's with Jake = number of DVD's with Bo

J = B ---- eqn 3

Let us solve eqn 1, 2, 3 to find value of "L"

From eqn 1 and eqn 3,

2L = B  ----- eqn 4

Substitute eqn 4 in eqn 2

2L = 5L - 60

2L - 5L = -60

-3L = -60

Thus there are 20 number of DVD's in Louis collection

Louis has 30 DVDs in his collection.

Let's denote the number of DVDs Louis has as L. According to the problem, Jake owns twice as many DVDs as Louis, so Jake has 2L DVDs. Bo has sixty fewer DVDs than five times Louis's collection, which means Bo has 5L - 60 DVDs.

Since Jake and Bo have the same amount of DVDs, we can set their quantities equal to each other:

2L = 5L - 60

Now, let's solve for L:

5L - 2L = 60

3L = 60

L = 60 / 3

L = 20

Louis has 20 DVDs in his collection.

The value which is equivalent to sin 51° is cos 39°. The correct option is B) cos 39°

From the complementary angle theorem, we have that

The sine of an angle is equal to the cosine of its complementary angle

That is,

sin θ = cos (90° - θ)

Recall: Complementary angles sum up to 90°

Then, we can write that

sin 51° = cos (90° - 51°)

sin 51° = cos 39°

Hence, the value which is equivalent to sin 51° is cos 39°. The correct option is B) cos 39°

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Answer:

Step-by-step explanation:

8:5, 16:10, 24:15

these can be written as 8/5, 16/10, 24/15

8/5

16/10 reduces to 8/5

24/15 reduces to 8/5

so basically, they are all the same ratio in simplest form

Answer:

(A) 40%

(B) 60%

Step-by-step explanation:

Given:

Total number of cars = 200

Cars in parking lot on Friday = 120

Total number of cars = Total cars on Friday + Total cars on Saturday.

⇒ 200 = 120 + Total cars on Saturday.

⇒ Total cars on Saturday = 200 - 120 = 80

So, 80 cars were in parking lot on Saturday.

(A)

Percentage of cars in parking lot on Friday is given as:

[tex]=\frac{\textrm{Cars in parking lot on Friday}}{\textrm{Total cars parked}}\times 100\\\\=\frac{120}{200}\times 100\\\\=\frac{120}{2}=60\%[/tex]

Therefore, 60% of the cars were in the parking lot on Friday.

(B)

Now, since 60% of the cars were parked on Friday, the remaining percent will be on Saturday.

Therefore, percentage of cars in parking lot on Saturday = 100% - 60% = 40%. This can be verified with the same formula used in part (A).

[tex]=\frac{\textrm{Cars in parking lot on Saturday}}{\textrm{Total cars parked}}\times 100\\\\=\frac{80}{200}\times 100\\\\=\frac{80}{2}=40\%[/tex]

Answer:

Step-by-step explanation:

c + 6 < -20

Subtract 6 from both side

c +6 -6 < -20-6

c < -26

So value of c should be less than -26. Value of c = { - ∞ ...... -28, - 27 }

Eg:

If c = -27

-27 + 6 = - 21 . -21 is less than -20

Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

       Answer                                                  Angle Relationship

c. Corresponding Angles                       ∠ 1 ≅ ∠ 5

d. Same Side Interior                             ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles                    ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles                    ∠ 4 ≅ ∠ 5

c. Corresponding Angles                       ∠ 2 ≅ ∠ 6

Answer:

The each coffee shops receives 4 cases of juice everyday.

Step-by-step explanation:

The juice company produced 8064 cartons of juice in 21 days each day they produced the same number of cartons.

Therefore, each day the company produces [tex]\frac{8064}{21} = 384[/tex] cartons.

The juice company delivers those cartons in 16 areas of coffee shops.

So, each coffee shop receives [tex]\frac{384}{16} = 24[/tex] cartons of juice.

Now, the cartons were delivered in cases of six cartons per case and each coffee shop received an equal number of cases in each delivery.

Hence, each coffee shops receives [tex]\frac{24}{6} = 4[/tex] cases of juice everyday. (Answer)

Answer: $35 is the selling price and $1225 is the maximum revenue.

Step-by-step explanation:

Since we have given that

[tex]R(x)=-x^2+70x[/tex]

We need to find the maximum revenue.

So, We will first derivative it w.r.t. x.

So, it becomes,

[tex]R'(x)=-2x+70[/tex]

Now, we will find critical points.

So, R'(x) = 0

So, it becomes,

[tex]-2x+70=0\\\\-2x=-70\\\\x=\dfrac{70}{2}=35[/tex]

Now, to check whether it yields maximum revenue or not.

So, second derivative w.r.t. x, we get that

R''(x) = -2<0

So, At $35, it yields maximum revenue.

Amount of maximum revenue would be

[tex]R(35)=-(35)^2+70\times 35=-1225+2450=\$1225[/tex]

Hence, $35 is the selling price and $1225 is the maximum revenue.

Answer:

1.) 26.2

2.) -22.9

Step-by-step explanation:

i took the test

Answer:

$0.25 per ounce

Step-by-step explanation:

Look at this and now tell me if my deleted answer was right

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Unit rate has to do with comparison or the proportionality of an item to its unit value or unit of measure.

The unit rate for the pumpkin seeds is $0.25 per ounce.

Based on this question, unit rate is the cost of 1-ounce of pumpkin seeds

From the question:

24-ounce of pumpkin seeds = $6.00

1- ounce of pumpkin seeds = ?

Cross Multiply

1 - ounce × $6.00 / 24-ounce

= $0.25

Therefore, unit rate for pumpkin seeds is $0.25 per ounce.

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Answer:

22,450

Step-by-step explanation:

the ones place is below 5 so you keep the number

Answer:

22,450

Step-by-step explanation:

22,451 rounded to the nearest 10 is 22,450, as 1 rounds down to 0.

:)

Answer:

"she could have sold between 14 and 24 glasses"

Step-by-step explanation:

7 to 12 glasses sold per hour

Min 7 glasses and Max 12 glasses

If she sold for 2 hours, her minimum would be:

7 * 2 = 14 glasses

and her max would be:

12 * 2 = 24 glasses

Hence,

she could have sold between 14 and 24 glasses

Answer: j = 8

Step-by-step explanation: To solve for j in this equation, we want to get j by itself on the left side of the equation. Since j is being multiplied by 5, to get j by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.

On the left side, notice that the 5's cancel out so we are simply left with j. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.

Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.

The Answer is :J=8  =)

Answer: 1.5

Step-by-step explanation: To find 5% of 30, first write 5% as a decimal by moving the decimal point 2 places to the right to get .05.

Next, the word "of" means multiply, so we have (.05)(30) which is 1.5.

So 5% of 30 is 1.5.

Answer:

1.5

Step-by-step explanation:

To solve, you put (5%) in the calculator, then (30) next to it, and the calculator gives you your answer. I think that's the easiest way to do it.