solve for x showing all steps 12^x+1=79

We know that

• The total fencing is 1020 feet.

• The area is rectangular.

• The area is divided into the middle.

Answer:

I think it was monday also

Answer:

The day of the week on Sam's 36th

day of vacation would be Tuesday.

Answer:

Step-by-step explanation:

Hello,

qop(2)=q(p(2))

p(2) = 4+3=7

\(q(7) = \sqrt{7+2}=\sqrt{9}=3\)

so

qop(2)=3

and poq(2)=p(q(2))

\(q(2)=\sqrt{2+2} = \sqrt{4}=2\)

p(2) = 7

so poq(2)=7

thanks

The answer is "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)" and the further explanation can be defined as follows;

Given:

\(\to \bold{p(x)=x^2+3}\\\\\to \bold{q(x)=\sqrt{x+2}}\)

Find:

\(\bold{(q \circ p)(2)=?}\\\\\bold{(p \circ q)(2)=?}\)

Solve the value for \(\bold{(q \circ p)(2)}\\\\\):

\(\to \bold{(q \circ p)(2)= q \circ p(2) =q(p(2))}\\\\\)

\(\therefore\\\\ \to \bold{p(2)=2^2+3= 4+3=7}\\\\\ \because \\\\ \to \bold{q(p(2))=\sqrt{7+2}=\sqrt{9}=3}\)

Solve the value for \(\bold{(p \circ q)(2)}\\\\\):

\(\to \bold{(p \circ q)(2)= p \circ q(2)= p (q(2))}\\\\\)

\(\therefore\\\\ \to \bold{q(2)=\sqrt{2+2}=\sqrt{4}=2}\\\\\ \because \\\\ \to \bold{p(q(2))=2^2+3= 4+3=7}\)

Therefore the final answer of "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)"

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Answer:

33

Step-by-step explanation:

let Elga age be x

And So Alvin age is x+15

x+x+15=81

2x+15=81

2x=81-15

2x=66

x=66/2

x=33

The amount that Katherine, who is going to invest in an account paying an interest rate of 5.8% compounded monthly, would need to invest, to the nearest ten dollars for the future value of the account for the account to reach $960 in 26 years, is $380 (present value).

The future value is the present value compounded at an interest rate.

The present value is the future value discounted at an interest rate.

The future value and the present value can be computed using an online finance calculator.

N (# of periods) = 192 months (16 years x 12)

I/Y (Interest per year) = 5.8%

PMT (Periodic Payment) = $0

FV (Future Value) = $960

Results:

Present Value (PV) = $380.38

Total Interest = $579.62

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The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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Answer:

2/5 x 7" is 70.

Step-by-step explanation:

To solve this problem, you need to perform the operation of multiplication. In this case, the problem can be solved by multiplying 2 by 5, and then multiplying the result by 7.

The order of operations, also known as the hierarchy of operations, tells us the order in which we should perform calculations in a math problem. The order of operations is important because it ensures that calculations are done in the correct sequence and that the final result is accurate.

In this problem, the multiplication operation should be done before the division operation, because multiplication and division have the same precedence and should be done from left to right.

So, to solve the problem, you would first multiply 2 by 5 to get 10, and then multiply 10 by 7 to get the final result of 70.

Therefore, the answer to the problem "2/5 x 7" is 70.

Answer: =2.8

Step-by-step explanation:

2/5 x 7

=0.4 * 7

=2.8

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).

If a point (x, y) is reflected across y-axis, rule to be followed,

(x, y) → (-x, y)

After reflection across y-axis new ordered pairs will be,

L(-4, 6)   → L"(4, 6)

M(-1, 6)   → M"(1, 6)

N(-1, 2)   → N"(1, 2)

O(-4, 2)  → O"(4, 2)

Then these points were translated 4 units down and 1 unit left,

Rule to be followed for the translation will be,

(x'', y'') → [(x' - 1), (y' - 4)]

By this rule vertices of the rectangle after translation will be,

L''(4, 6) → L'(3, 2)

M''(1, 6) → M'(0, 2)

N''(1, 2) → N'(0, -2)

O''(4, 2) → O'(3, -2)

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer: 2x+52=2(x+26)

3x-35=-105

Step-by-step explanation:

Given the graph in the attached image;

a.

We want to find the speed during the first four AB and the second hour BC.

Let us write out the coordinates of A,B and C on the graph;

The speed for each hour is the slope of the line within that time.

So, the slope of line AB is;

the slope of line BC is;

Therefore, the speed at the first hour AB is;

The speed at the second hour BC is;

b.

Comparing the speed in the first hour AB to the speed in the second hour BC as calculated in question a above.

We can see that the speed in the first hour is more than the speed in the second hour.

The speed between A and B is double the speed between B and C.

Since the speed between A and B is 10 km/h and the speed between B and C is 5 km/h, so the speed between A and B is double the speed between B and C.

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

Answer:

its congruent because of the lines

Answer:

Option a

Step-by-step explanation:

Using distributive property:

y(x+7)=y•x+y•7

=yx+7y

Answer:

a

Step-by-step explanation:

Answer:

(X+9)(X+8)=0

X=-9,-8

Step-by-step explanation:

x^2+ 17x-12=-84

x^2+17x-12+84=0

x^2+17x+72=0

x^2+(9+8)X+72=0

x^2+9x+8x+72=0

X(X+9)+8(X+9)=0

(X+9)(X+8)=0

X=-9,-8

So the value of the X is -9,-8

Based on the change in the company stock over the three weeks, the total increase in those three weeks is 1.38%.

assuming the stock has a value of $1, the value in the third week would be:
= 1 x (1 + 5/8%) x (1 + 1/2%) x (1 + 1/4%)

= $1.013809453125

the total increase is:
= (1.013809453125 - 1) / 1

= 1.38%

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Answer:

  D.  Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left

Step-by-step explanation:

Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.

_____

Comment on place value

The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.

Therefore, the "Choice D" is the only correct answer.

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The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{\frac{4\pi }{9} }{2\pi }\)

  = π × 6² × \(\frac{\frac{4\pi }{9} }{2\pi }\)

  = 36π × \(\frac{\frac{4\pi }{9} }{2\pi }\)

  = 18 × \(\frac{4\pi }{9}\)

  = 2 × 4π

  = 8π

  ≈ 25.1 cm² ( to the nearest tenth )

The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

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Answer:

C

Step-by-step explanation:

If you start by picking a point to plug in you can check easily to see what works.

Lets start with x=pi. If we plug that into all the answer choices,

A. sec(pi/2)+2 = does not exist

B. 1/2sec(2pi) = 1/2

C. 2sec(pi/2) = does not exist

D. 2csc(pi/2) = 1

So, since at pi there is a vertical asymptote it should not exist. So, A or C.

Then pick x = 0, y must be 2.

A. sec(0) +2 = 1+2 = 3

C. 2sec(0) = 2

So, C must be the answer.

The inequality that models this is:

x  ≥ $30

The situation is "I have no less than $30 in my wallet."

So let's define the variable x = amount of money on my wallet.

Then x must be equal to or more than $30 (so we need to use the symbol ≥), then we can write the inequality:

x  ≥ $30

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Answer:

65

Step-by-step explanation:so when you use the mathmatical equatin with your problem you can see with the coefisint that your number would br the permiter of the mathamticle formula by adding this to the root of 25, therefore your answer is 65

Answer:

--

Step-by-step explanation:

Show all the options please

Not able to see all options

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

5pls give brainiest

Step-by-step explanation:

10=2x

10/2=5