Help with this plz plz ASAP

Answer:

10

Step-by-step explanation:

Angles 8x - 12 and 6x + 8 are adjacent angles.

Adjacent angles are equal.

8x - 12 = 6x + 8

8x - 6x = 8 + 12

2x = 20

x = 20 / 2

x = 10

Answer:

8x-12=6x+8

[corresponding angle]

8x-6x=12+8.

x=20/2

x=10

Answer:

B (-7, 1)

Step-by-step explanation:

All we have to do is set up equations to find coordinate b from midpoint formula.

x-coordinate:

-2 = \(\frac{3+x}{2}\)

-4 = 3 + x

x = -7

y-coordinate:

3 = \(\frac{5+y}{2}\)

6 = 5 + y

y = 1

Answer:

0.3968

Step-by-step explanation:

For exponential distribution :

P(A < x) = 1 - e^-x/m

Where m = mean of exponential distribution

Mean of distribution = 4

x = 3

P(A < 3) = 1 - e^-3/4

P(A < 3) = 1 - (0.4723665)

P(A < 3) = 0.5276335 =

Hence, p = 0.5276

(1 - p) = 1 - 0.5276 = 0.4724

Binomial distribution :

P(n, x) = nCx * p^x * (1 - p)^(n-x)

Served on atleast 4 of the next 6 days ;

P(4) + P(5) + P(6):

(6C4 * 0.5276^4 * 0.4724^2) + (6C5 * 0.5276^5 * 0.4724^1) + (6C6 * 0.5276^6 * 0.4724^0)

= (15 * 0.5276^4 * 0.4724^2) + (6 * 0.5276^5 * 0.4724^1) + (1 * 0.5276^6 * 0.4724^0)

= 0.3968

Using the exponential and the binomial distribution, it is found that there is a 0.3969 = 39.69% probability that a person is served in less than 3 minutes on at least 4 of the next 6 days.

First, we find the probability that a person is served in less than 3 minutes on a single day, using the exponential distribution.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:  

\(P(X \leq x) = 1 - e^{-\mu x}\)

In this problem, mean of 4 minutes, hence \(m = 4, \mu = \frac{1}{4} = 0.25\).

The probability that a person is served in less than 3 minutes on a single day is:

\(P(X \leq 3) = 1 - e^{-0.25(3)} = 0.5267\)

Now, for the 6 days, we use the binomial distribution.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is:

\(P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{6,4}.(0.5276)^{4}.(0.4724)^{2} = 0.2594\)

\(P(X = 5) = C_{6,5}.(0.5276)^{5}.(0.4724)^{1} = 0.1159\)

\(P(X = 6) = C_{6,6}.(0.5276)^{6}.(0.4724)^{0} = 0.0216\)

Then:

\(P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2594 + 0.1159 + 0.0216 = 0.3969\)

0.3969 = 39.69% probability that a person is served in less than 3 minutes on at least 4 of the next 6 days.

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On solving the provided question, we cans ay that ratio is 2:3=> 2x + 4x = 4 => x = total fat is 6.6666666667

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

The ratio of saturated fat to total fat in a caramel frappucino is 2 to 3

There are 4 more grams of total fat than saturated fat

ratio is 2:3

2x + 4x = 4

x = 4/6*10

x = 6.6666666667

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Answer:

c. x=-25 is the answer

(5x+75)

- (3x+25 )

=2x +50

×=-25

Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

We are given a quadratic function:

h (x) = x^2 + 3x − 18

We need to rewrite the function by completing the square.

We can see the coefficient of x is 3.

So, we will add and subtract the square of half that.

So, find the square of half of 3, we will get;

(3 / 2)^2 = 9 / 4 = 2.25

add and subtract the square of half of 3 from the given function, we will get;

h(x) = x^2 +3x + -18 2.25 -2.25

arrange the expression, we will get;

h(x) = (x^2 +3x +2.25) -18 -2.25

write the expression in parentheses as a square, and simplify the constant, we will get;

h(x) = (x + 1.5)^2  - 20.25

So, the square function is written as h(x) = (x + 1.5)^2  - 20.25.

Thus, the quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

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Answer:

33/100

Step-by-step explanation:

The 100 natural numbers are from 1-100.

In order to find the total numbers divisible by 3, divide 100 by 3:

100/3 = 33.33

Put 33.33 into integer form:

33.33 ==> 33 numbers divisible by 3.

Divide 33 by 100 to get the probability: 33/100

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The coordinates of the centroid of the triangle RST is (0, -2)

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The coordinates of the vertices of the triangle RST:

R(-5,-9), S(6,-3), T(-1,6)

The coordinates (x, y) of the centroid of a triangle.

x = (a + c + e) / 3

y = (b + d + f) / 3

Where (a, b), (c, d), and (e, f) are the coordinates of the vertices of a triangle.

Now,

(a, b) = (-5, -9)

(c, d) = (6, -3)

(e, f) = (-1, 6)

The coordinates (x, y) of the centroid of a triangle is (0, -2).

x = (-5 + 6 - 1) / 3

x = 0

y = (-9 - 3 + 6) / 3

y = -6/3

y = -2

Thus,

The coordinates of the centroid are (0, -2).

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Answer:

  1 3/4 m

Step-by-step explanation:

You want the length of a rectangle 4/5 m wide that has an area of 1 2/5 m².

The formula for the area of a rectangle is ...

  A = LW . . . . . . L = length; W = width

Filling in the given values and solving for L, we have ...

  1 2/5 m² = L(4/5 m)

  L = (7/5 m²)/(4/5 m) = 7/4 m = 1 3/4 m

The length of the rectangle is 1 3/4 meters.

You have the following expression:

(5x - 6.9)(2x + 12.2)

use the distribution property in the previous factors:

(5x - 6.9)(2x + 12.2) =

5x(2x) + 5x(12.2) - 6.9(2x) - 6.9(12.2) =

10x² + 61x - 13.8x - 84.18 =

10x² + 47.2 - 84.18

Hence, the simplfied expression is 10x² + 47.2 - 84.18

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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Answer:

\( {5}^{ - 7} \)

Step-by-step explanation:

You have to use the property of quotient of powers, you subtract the power of the fraction denominator from the numerator

Answer:

\( \frac{ {5}^{ - 4} }{ \frac{5}{3} } \)

\( {5}^{ - 4 - 3} \)

\( {5}^{ - 7} \)

\( \frac{1}{ {5}^{7} } \)

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Answer:

78.54

Step-by-step explanation:

Answer:

13√2

Step-by-step explanation:

The areas of the larger triangle, and the smaller triangle (formed when the larger triangle was cut by the parallel line) are similar. Therefore we can compare their areas:

Area1/Area2 =  (Length1)^2/(Length2)^2,

x/2x = (Length1)^2/(26)^2,

1/2 = (Length1)^2/676,

(Length1)^2 = 676/2 = 338

Length1 = √1352 = 13√2

Answer:

41.81

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.72973 rad = 41.81° = 41°48'37"

∠C = 180° - A - B = 0.84107 rad = 48.19° = 48°11'23"

c = a·sin(C)sin(A)=4.47214 = 2√5

Answer:

15g + 10s= 4170

g + s = 360

15g + 10s = 4170

-10g - 10s = -3600

5g = 570

g = 114 general tickets

114 + s= 360

s = 246 student tickets

Step-by-step explanation:

Answer:

the answer the other person put is correct

Step-by-step explanation:

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Step-by-step explanation:

we can find value of x and y through Pythagoras theorem

according to it

h² = a² + b²

h = hypotenuse (i.e longest side of a right angled triangle)

a = side

b = base

in ∆ABC

AB² = AC² + BC²

(10)² = (8)² + x²

100 = 64 + x

x = 100 - 64 = 36

x² = √36 = 6

x = 6

in ∆PQR

PQ² = PR² + RQ²

y² = (4)² + (3)²

y = 16 + 9

y = 25

y² = √25 = 5

y = 5

a) angle BAC = angle QPR

b) value of x = 6 cm

c) value of y = 5 cm

hope this helps you dear!

Answer:

Step-by-step explanation:

When the triangles are similar

\(\frac{AC}{PR}=\frac{AB}{PQ} =\frac{BC}{QR} \\\\\)

Taking First and Third ratios

\(\frac{AC}{PR} =\frac{BC}{QR} \\\\\frac{8}{4} =\frac{x}{3} \\\\x=\frac{8*3}{4} \\\\x=6cm\)

Taking First and Second ratios

\(\frac{AC}{PR} =\frac{AB}{PQ} \\\\\frac{8}{4} =\frac{10}{y} \\\\y=\frac{4*10}{8}\\\\ y=5cm\)

Step-by-step explanation:

Marcel will take 35 days, xion will take 44 days (43.75), Francesca will take 32 days, and amber will take 44 days (43.75)

Answer:

18

Step-by-step explanation:

xy = -3 x -4 = - 12

2x = -3 x 2 = -6

-12 - 6 = 18 (2 negatives make a positive)

Answer:

509

Step-by-step explanation:

4581 ÷ 9 = 509

Quotient means to divide

I hope this helps you

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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