URGENT: Can you find the perimeter of each polygon and type the correct code? Please remember to type in ALL CAPS with no spaces.
PLEASEEEE HELPPP NOW!!!

x = 2logb(x2 + 56)/2

1. log2x = log218

log2x = 3

x = 23 = 8

2. log2×2 = log2(4x−4)

log2×2 = log2(4x)−log2(4)

log2×2 = log2(4x)−2

log2×2 + 2 = log2(4x)

log2(2×2) + 2 = log2(4x)

log2(4) + 2 = log2(4x)

4 + 2 = log2(4x)

6 = log2(4x)

26 = 4x

x = 23 = 8

3. logb(x2−56)=logbx

logb(x2−56) = logbx

logb(x2)−logb(56) = logbx

logbx2−logb56 = logbx

logbx2−logb56 + logbx = logbx + logbx

2logbx = logbx2 + logb56

2logbx − logbx2 = logb56

2logbx − logb(x2−56) = logb56

2logbx − logb(x2) + logb(56) = logb56

2logbx−logbx2 + logb(56) = logb56

2logbx = logb(x2 + 56)

2logbx = logb(x2 + 56)

logbx = logb(x2 + 56)/2

x = 2logb(x2 + 56)/2

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Answer:

Step-by-step explanation:

To find the length of the square side lengths and the diameter of the circle, we can divide the perimeter by 4:

79.04/4 = 19.76

This is the diameter of the circle. The radius is half the diameter:

19.76/2 = 9.88

Hope this helps!

Answer: 9.88 cm

Step-by-step explanation:

To find the radius, we need to find half the length of one side of the square.

The perimeter of the square is all the sides of the square added together.

Squares have 4 sides so divide the perimeter by 4 to find the length of 1 side.

79.04 / 4 = 19.76 is the length of one side.

Half of 19.76 is 9.88 so the radius of the circle is 9.88 cm.

Hope this helps!

Answer: They shared 40 grapes for Tommy and 48 grapes for Kim

Step-by-step explanation:

Let's assume that the initial number of grapes they shared is 5x for Tommy and 6x for Kim.

After Tommy eats half of his grapes, he will have 5x/2 grapes left.

Kim eats 4 more grapes than Tommy, so she will have 5x/2 + 4 grapes.

To find the total number of grapes they have after eating, we can add them together:

5x/2 + 4 + 5x/2 = 11x/2 + 4

Since they now have the same number of grapes, we can set this equal to the initial total number of grapes they shared:

5x + 6x = 11x

11x = 11x/2 + 4

Multiplying both sides by 2:

22x = 11x + 8

Subtracting 11x from both sides:

11x = 8

Dividing by 11:

x = 8/11

So the initial number of grapes they shared is:

5x + 6x = 11x = 11(8/11) = 8

Therefore, they shared 40 grapes (5x) for Tommy and 48 grapes (6x) for Kim at the beginning.

When t = 5, the value οf the expοnential functiοn[tex]y = 25(1.2)^t[/tex] is apprοximately 36.7.

An expοnential functiοn is a mathematical functiοn οf the fοrm[tex]f(x) = ab^x[/tex] where a and b are cοnstants, and x is the independent variable. The base b is a pοsitive cοnstant greater than 0 and nοt equal tο 1.

In the expοnential functiοn [tex]y = 25(1.2)^t[/tex], the initial amοunt is 25, which is the value οf the functiοn when t = 0.

The rate οf grοwth is 20%, which is the value οf the base οf the expοnential functiοn minus 1, expressed as a percentage. In this case, the base is 1.2, which is 20% greater than 1.

Tο evaluate the functiοn when t = 5, we substitute t = 5 intο the functiοn and simplify:

[tex]y = 25(1.2)^t[/tex]

[tex]y = 25(1.2)^5[/tex]

[tex]y = 25(1.469)[/tex]

[tex]y = 36.73[/tex]

Rοunding tο the nearest tenth, we get y ≈ 36.7.

Therefοre, when t = 5, the value οf the expοnential functiοn [tex]y = 25(1.2)^t[/tex]is apprοximately 36.7.

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Answer:

2400

Step-by-step explanation:

144 are seated

94% yet to arrive

6% = 144

Easy method Find the value of 1%

144/6 will be 1%

If 1% =24 then 100% will be 24x 100

Total tickets sold will be 2400

Check: 6% of 2400 is 144

The values of the x in all triangles are:

1) x = 15. (2) x = 8. (3) x = 3. (4) x = 11.95. (5) x = √-5. (6) x = √104.

The Pythagorean theorem consists of a formula a²+b²=c² which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

1) In this triangle:

Adjacent = 9mi

Opposite = 12 mi

Hypotaneous = x

so, x² =  (9)² + (12)²

x = √81 + 144

x = 15.

2) In this triangle:

Adjacent = x

Opposite = 6 in

Hypotaneous = 10 in

so, (10)² =  (x)² + (6)²

√100 - 36 = x

x = 8.

3) In this triangle:

Adjacent = x

Opposite = 4 ft

Hypotaneous = 5 ft

so, (5)² =  (x)² + (4)²

√25 - 16 = x

x = 3.

4) In this triangle:

Adjacent = x

Opposite = 5 yard

Hypotaneous = 13 yard

so, (13)² =  (5)² + (x)²

√168 - 25 = x

x = 11.95.

5) In this triangle:

Adjacent = x

Opposite = √13 mi

Hypotaneous = 2√2 mi

so, (2√2 )² =  (√13)² + (x)²

8 - 13 = x

x = √-5.

6)  In this triangle:

Adjacent = 13 yd

Opposite = √65 yd

Hypotaneous = x

so, (x)² =  (13)² + (√65 )²

169 - 65 = x

x = √104.

Hence, The values of the x in all triangles are:

1) x = 15. (2) x = 8. (3) x = 3. (4) x = 11.95. (5) x = √-5. (6) x = √104.

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Answer:

864 cards

Step-by-step explanation:

Goal: 15 set of cards

*72 cards in a set*

15 x 72 = 1080

15 sets of cards = 1080 cards in total

However Kareem so far has 216 cards.

To find out how much more cards Kareem need to reach his goal, you do the following:

1080 - 216 = 864

Kareem needs 864 more cards to reach his goal.

hope this helped....

The arclength of the circular sector with radius r = 5.1 and central angle θ = 145º is 13.06. The area of the circular sector is 32.54.

The arclength and area of a circular sector can be calculated using the following formulas:

Arclength = (θ/360) * 2πr

Area = (θ/360) * πr²

Where θ is the central angle in degrees, r is the radius, and π is the constant pi.

Plugging in the given values for r and θ, we get:

Arclength = (145/360) * 2π(5.1) ≈ 12.90

Area = (145/360) * π(5.1)² ≈ 32.91

So, the arclength of the circular sector is approximately 12.90 units and the area is approximately 32.91 square units.

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The triplets 20, 48, 52 is a Pythagorean triplet.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

We know, Any three numbers to be a Pythagorean triplet,

The sum of the squares of any smaller side must be equal to the square of the third side.

Now, 20² + 48² = 52².

400 + 2304 = 2704

2704 = 2704.

So, The first option 20, 48, 52 it self is a Pythagorean triplet and we don't need to check further options.

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The algebraic expression indicating the number of cookies remaining to be baked is 144 - x.

To find the number of cookies Pat still needs to bake, we need to subtract the number of cookies she has already baked from the total number of cookies she needs to bring to the party. In this case, the total number of cookies is 144 and the number of cookies she has already baked is represented by the variable x.

Therefore, the algebraic expression for the number of cookies Pat still needs to bake is:

This expression tells us that to find the number of cookies Pat still needs to bake, we need to subtract the number of cookies she has already baked (x) from the total number of cookies she needs to bring (144).

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Answer:

To find YZ and DE in the sequence WXYZ FEDC, we need to understand how the sequence is constructed. The sequence is likely made up of two smaller sequences: WXYZ and FEDC.

To find YZ, we need to look at the WXYZ sequence. Since Y and Z are the last two digits of this sequence, we can conclude that Z is the last digit and Y is the second to last digit. Therefore, YZ = 30.

To find DE, we need to look at the FEDC sequence. Since D and E are the last two digits of this sequence, we can conclude that E is the last digit and D is the second to last digit. Therefore, DE = 96.

So, YZ = 30 and DE = 96

Step-by-step explanation:

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We can determine that TC owns one cow using exponential calculations.

Exponent-based equations are those in which the exponent, or a portion of the exponent, is a variable.

For illustration, [tex]3^{x}[/tex] = 81.

In the question given,

TC is drinking no. of cups = 17

Let no. of cows TC has = x

Now according to the question, we can for the equation as:

[tex](\sqrt[5]{x} )^{2}[/tex] = 17 -1

⇒ x = [tex]\sqrt[5]{4}[/tex]

⇒ x = 1.319

⇒ x ≈ 1

Hence, TC owns 1 cow.

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The Variation of Parameters is a method used to find a particular solution for ordinary differential equations (ODES). The method involves finding the general solution to the homogeneous equation and then using that to find a particular solution to the non-homogeneous equation.

For the given ODES:

(a) y" - 2y' + y = et^2

First, we need to find the general solution to the homogeneous equation y" - 2y' + y = 0. The characteristic equation is r^2 - 2r + 1 = 0, which has a repeated root r = 1. Therefore, the general solution to the homogeneous equation is yh = c1e^t + c2te^t.

Next, we use the Variation of Parameters to find a particular solution. We assume that the particular solution has the form yp = u1e^t + u2te^t, where u1 and u2 are functions of t. We then find the first and second derivatives of yp and substitute them into the original equation. After simplifying, we obtain a system of equations for u1' and u2'. We solve for u1' and u2' and then integrate to find u1 and u2. Finally, we substitute u1 and u2 back into the equation for yp to find the particular solution.

(b) y" + y = sec(x)

Similarly, we first find the general solution to the homogeneous equation y" + y = 0. The characteristic equation is r^2 + 1 = 0, which has complex roots r = i and r = -i. Therefore, the general solution to the homogeneous equation is yh = c1cos(x) + c2sin(x).

Next, we use the Variation of Parameters to find a particular solution. We assume that the particular solution has the form yp = u1cos(x) + u2sin(x), where u1 and u2 are functions of x. We then find the first and second derivatives of yp and substitute them into the original equation. After simplifying, we obtain a system of equations for u1' and u2'. We solve for u1' and u2' and then integrate to find u1 and u2. Finally, we substitute u1 and u2 back into the equation for yp to find the particular solution.

(c) y" + y = sin^2(x)

The general solution to the homogeneous equation y" + y = 0 is the same as in part (b). We use the Variation of Parameters to find a particular solution in the same way as in part (b), but with the right-hand side of the equation being sin^2(x) instead of sec(x).

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Answer:

$9.50

Step-by-step explanation:

If there are 8 tickets and they all add up to $76, you have to divide 76 by 8 (the number of tickets)

The water level after 4 weeks will be 29.2 feet.

The water level of the lake will increase by 10% each week during the winter rainstorms. This means that each week, the water level will increase by 0.10 × 20 = <<0.10*20=2>>2 feet.

After the first week, the water level will be 20 + 2 = <<20+2=22>>22 feet.
After the second week, the water level will be 22 + 2 = <<22+2=24>>24 feet.
After the third week, the water level will be 24 + 2 = <<24+2=26>>26 feet.
And so on.

We can use the formula A = P(1 + r)^n to find the water level after n weeks, where A is the final amount, P is the initial amount, r is the rate of increase, and n is the number of weeks.

In this case, P = 20, r = 0.10, and n is the number of weeks.

So, the water level after n weeks will be:

A = 20(1 + 0.10)^n

We can plug in different values of n to find the water level after a certain number of weeks.

For example, to find the water level after 4 weeks, we can plug in n = 4:

A = 20(1 + 0.10)^4 = 29.2 feet

So, the water level after 4 weeks will be 29.2 feet.

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For the inequality |x| + 3 > 7, the points which are on its graph is -5 and 7.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

To solve the inequality |x| + 3 > 7, we need to isolate the absolute value by subtracting 3 from both sides, and then split it into two cases -

|x| > 4 and -(|x|) > 4 (by multiplying both sides by -1)

Simplifying the second inequality, we get -

|x| < -4

But this is impossible, because the absolute value of any number is always non-negative.

Therefore, the second inequality has no solutions.

For the first inequality, we have -

|x| > 4

This means that x is either less than -4 or greater than 4.

Therefore, the points on the graph that satisfy the inequality are -

-5 and any value less than -4

Any value greater than 4

So the points on the graph that satisfy the inequality are -

-5 and any value less than -4 or greater than 4.

Therefore, the correct options are -

-5 and 7.

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According to the interpretation of the solution, Dakota's vehicle requires more than 3.6 gallons of fuel to travel the 117 miles to his brother's home.

Dakota will use x gallons of gas to travel 117 miles to his brother's home.

The following inequalities can be used to determine how many gallons of fuel Dakota requires the most:

x ≥ 117/32.5

According to this inequality, x must be more than or equal to 117 miles, which is the required driving distance for Dakota, divided by 32.5 miles per gallon, the maximum fuel efficiency for his vehicle.

After finding x, we obtain:

x ≥ 3.6

Hence, in order to go 117 miles to his brother's home, Dakota would require at least 3.6 gallons of gasoline.

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Answer:15.75 min

Step-by-step explanation:

7/8)60= 52.5

3/10)52.5= 15.75

Answer:

Step-by-step explanation:

1 ticket costs 1 × $4.50 = $4.50

2 tickets cost 2 × $4.50 = $9.00

3 tickets cost 3 × $4.50 = $13.50

4 tickets cost 4 × $4.50 = $18.00

The first table is the only one that matches these values.

Answer:

perfect square therefore rational

non perfect square therefore irrational

cuberoot

5

Step-by-step explanation:

the topic is about perfect squares and rationality of numbers

For the system of linear equations

[tex]\[ \begin{aligned} h x_{1}-3 x_{2}-6 x_{3} & =-3 \\ x_{1}+3 x_{2}+x_{3} & =1 \\ -4 x_{1}-9 x_{2}+2 x_{3} & =-1 \end{aligned} \][/tex],  

the value of [tex]\( h \)[/tex] is [tex](15/4)x_2 + (30/4)x_3[/tex].

The value of h can be determined by using the elimination method to solve the system of equations.

First, multiply the second equation by 4 and the third equation by -1 to eliminate the x1 term: [tex]\[ \begin{aligned} 4 h x_{1}-12 x_{2}-24 x_{3} & =-12 \\ -4 x_{1}-12 x_{2}-4 x_{3} & =-4 \\ 4 x_{1}+9 x_{2}-2 x_{3} & =1 \end{aligned} \][/tex]

Next, add the second and third equations to the first equation: [tex]\[ \begin{aligned} 4 h x_{1}-15 x_{2}-30 x_{3} & =-15 \\ \end{aligned} \][/tex]

Now, divide the equation by 4 to solve for h: [tex]\[ \begin{aligned} h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3} & =-\frac{15}{4} \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3}+\frac{15}{4} & =0 \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3}+\frac{15}{4}-\frac{15}{4} & =-\frac{15}{4}+\frac{15}{4} \\ h x_{1}-\frac{15}{4} x_{2}-\frac{30}{4} x_{3} & =0 \\ h & =\frac{15}{4} x_{2}+\frac{30}{4} x_{3} \end{aligned} \][/tex]

Therefore, the value of h is dependent on the values of x2 and x3 and can be expressed as h = [tex](15/4)x_2 + (30/4)x_3[/tex].

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Question 1.) The value of the angle C = 90° ( acute angle)

Question 2.) The area of the triangle = 240

Question 3.) The measure of the angle B = 65.4°

To calculate the area of a triangle the formula below is used:

Area of a triangle = 1/2 base × height.

where: base = 12

height = 40

area = 1/2 × 12× 40

= 480/2 =240

The measure of the angle B can be calculated using the SOHCAHTOA formula:

The sides of the triangle connected to angle B = Hypotenuse and opposite.

Sin B = opposite/hypotenuse

where,

opposite = 40

hypothenuse = 44

Sin B = 40/44 =0.909090909

B = sin-¹ (0.909090909)

B = 65.4°

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Answer:

To find the coordinates of the root of the equation y = 3 + 2x - x^2, we need to find the values of x where y = 0 (because the root is the point where the function intersects the x-axis). So we can set y equal to 0 and solve for x:

0 = 3 + 2x - x^2

Rearranging, we get:

x^2 - 2x - 3 = 0

We can factor the quadratic equation by finding two numbers that add up to -2 and multiply to -3. These numbers are -3 and 1, so we can write:

(x - 3)(x + 1) = 0

This equation is true when either x - 3 = 0 or x + 1 = 0. So the roots of the equation are:

x = 3 or x = -1

Therefore, the coordinates of the roots of the equation y = 3 + 2x - x^2 are (3, 0) and (-1, 0).

Answer:

Circumference = 37.7 feet

Step-by-step explanation:

Use these formulas, then solve for the answer

C=2πr

d=2r

C = π times d

C = π times 12

C = 37.699

The angle BAC will always be a right angle (90 degrees).

Given a circle centered at point O and any three points A, B, and C on the circle, the angle BAC will always be half of the corresponding central angle BOC.

If we keep points B and C fixed and allow point A to move around the circle,

then the angle BAC will stay the same.

If points B and C are endpoints of the diameter of the circle, then the angle BAC will always be a right angle (90 degrees).

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The axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.

In mathematics, the axis οf symmetry is a line that divides a twο-dimensiοnal shape οr a three-dimensiοnal οbject intο twο equal halves, such that each half is a mirrοr image οf the οther. The axis οf symmetry can alsο refer tο a line that divides a mathematical functiοn intο twο equal halves.

The given quadratic functiοn is:

f(x) = -(x - 7)² - 30

We can see that the cοefficient οf x² is -1, which means that the parabοla οpens dοwnwards. The vertex οf the parabοla is (7, -30), which is alsο the maximum pοint οf the parabοla.

The axis οf symmetry fοr a parabοla is a vertical line that passes thrοugh the vertex. Therefοre, the axis οf symmetry fοr the given functiοn is a vertical line passing thrοugh (7, -30).

The equatiοn οf the axis οf symmetry is given by:

x = 7

Therefοre, the axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.

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The values on the vertical axis are the probabilities for each value of x. The probability of 0 occurrences in the span of 13 time units is f13(0) = 26^0 * e^(-26) / 0! = e^(-26) ≈ 0.0000000000000000000000000003.

The Poisson process is a type of stochastic process that counts the number of occurrences of an event in a given time interval. The rate parameter λ represents the average number of occurrences per unit time.

i. The waiting time for k occurrences in a Poisson process follows an exponential distribution with parameter λk. The probability distributions for X1, X2, X3, and X5 are given by:

X1 ∼ Exp(λ) = Exp(2)

X2 ∼ Exp(λ*2) = Exp(4)

X3 ∼ Exp(λ*3) = Exp(6)

X5 ∼ Exp(λ*5) = Exp(10)

The expected waiting time E[Xk] is given by 1/λk, and the standard deviation σXk is also given by 1/λk. Therefore, we have:

E[X1] = 1/λ = 1/2

E[X2] = 1/(λ*2) = 1/4

E[X3] = 1/(λ*3) = 1/6

E[X5] = 1/(λ*5) = 1/10

σX1 = 1/λ = 1/2

σX2 = 1/(λ*2) = 1/4

σX3 = 1/(λ*3) = 1/6

σX5 = 1/(λ*5) = 1/10

The probability distributions for the interval 0 ≤ x ≤ 7 are shown below:

ii. The number of occurrences in the span of t time units follows a Poisson distribution with parameter λt. The probability distributions ft(x) for t = 13, t = 12, and t = 1.2 are given by:

ft(x) = (λt)^x * e^(-λt) / x!

f13(x) = (2*13)^x * e^(-2*13) / x! = 26^x * e^(-26) / x!

f12(x) = (2*12)^x * e^(-2*12) / x! = 24^x * e^(-24) / x!

f1.2(x) = (2*1.2)^x * e^(-2*1.2) / x! = 2.4^x * e^(-2.4) / x!

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Answer:

Step-by-step explanation:

A is y=x+4

b is y=14

Answer:its 80 i did the same problem

Step-by-step explanation:

A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.

A graph of the system of inequalities is shown on the coordinate plane below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:

Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox takes 3 person-hours to make, a linear equation to describe this situation is given by:

2x + 3y = 192.

Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;

x + y = 72

For the constraints, we have the following system of linear inequalities:

x ≥ 0.

y ≥ 0.

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