Need help ASAP ! !!!!

Answer:

4,160

Step-by-step explanation:

your welcome

Answer:

d

Step-by-step explanation:

you are adding 22 dollars each month and 125 is your starting balance

The equation shows your balance, b, in m months will be b( m) = $125 + $22 m.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

Savings account balance = $125

Money added per month = $22

The obtained equation is,

b( m) = $125 + $22 m.

Thus, the equation shows your balance, b, in m months will be b( m) = $125 + $22 m.

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Answer:

divide -10 both sides.

Step-by-step explanation:

The negatives are counciled

Answer:

Answer is long, so Ill put it in the explanation.

Step-by-step explanation:

Domain: -∞ ≤ x ≤ ∞ (x goes infinitely in both directions)

Range: -∞ ≤ y ≤ 1 (infinite number of negative points, or going down, but stops at positive 1 going up)

y intercept: (0,0) (where the function meets the y-axis)

x-intercepts: (0,0) and (4,0) (where the function meets the x-axis)

minimum: -∞ ( doesnt have a lowest point, essentially there isnt one)

maximum: y = 1 (this is the highest point of the function)

f(6) = -3 (this is asking: when x = 6, what does y equal?)

This parabola is decreasing (it opens downwards)

If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true: Option (b) f'(-1) = 0 and Option (d) the graph of f has a horizontal tangent line at x = 3

Explanation: The relative maximum of a function is the highest point in a particular set, and the relative minimum is the lowest point. If a function f is continuous for all x and has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true. The value of the derivative will be equal to zero at relative maximum and relative minimum points of the function. In other words, f'(-1) = 0 and f'(3) = 0. Thus, the option (b) is correct. The graph of f has a horizontal tangent line at the relative minimum and maximum points of the function. This implies that the graph of f has a horizontal tangent line at x = -1 and x = 3. Therefore, the option (d) is correct. The graph of f may or may not intersect both axes. There is no proof that the function f will intersect both axes. Therefore, option (e) is incorrect. The point of inflection is a point on a curve where the concavity of the function changes. Since the function f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), there is no certainty that the graph of f has a point of inflection between x = -1 and x = 3. As a result, option (a) is incorrect. Thus, the correct options are (b) f'(-1) = 0 and (d) The graph of f has a horizontal tangent line at x = 3.

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Answer:

a

Step-by-step explanation:

The  value of x in the given right triangle is determined as 1.36.

The value of x is calculated by applying trig ratios as follows;

The trig ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The value of x is calculated as follows;

tan (23) = opposite side / hypothenuse side

tan (23) = x / 3.2

x = 3.2 x tan (23)

x = 1.36

Thus, the  value of x is determined by applying trigonometry ratios.

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Answer:

20 points

Step-by-step explanation:

First you add 30 + 15, which equals 45.

Then, you subtract 25 from 45, (45-25) which equals 20

Answer:

It is the price of one ounce.

Step-by-step explanation:

first of all what's the Time Remaining for?

second of all unit rate when it comes to ounces is how much it cost for 1 ounce

It is the price of one ounce.

Answer:

Step-by-step explanation:

Please mark Brainliest when able.

The solution to the expression is A = 2.2

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 220

Let the second number be represented as q

The value of q = 10²

So, q = 100

So, A = p/q

On simplifying the equation , we get

A = p divided by the value of q

And , A = 220/100

A = 2.2

The simplest form of the value of A = 2.2

Therefore , the value of A is 2.2

Hence , the expression is A = 2.2

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Answer: x=4/3

Step-by-step explanation:

Euclid's Proposition III.22 states that if ABCD is a quadrilateral inscribed in a circle, then the sum of the measures of the opposite angles is 180°. This can be proved by considering the properties of inscribed angles and arcs.

Let ABCD be a quadrilateral inscribed in a circle with center O. We want to prove that μ(LABC) + μ(LCDA) = 180° and µ(LBCD) + µ(LDAB) = 180°.

First, consider angle LABC. This angle intercepts the arc CD. According to the inscribed angle theorem, the measure of angle LABC is equal to half the measure of the intercepted arc CD. Similarly, angle LCDA intercepts the arc AB, so μ(LCDA) = 1/2 × μ(arc AB).

Since the sum of the measures of the arcs of a circle is 360°, we have μ(arc AB) + μ(arc CD) = 360°. Therefore, 1/2 × μ(arc AB) + 1/2 × μ(arc CD) = 1/2 × 360°, which simplifies to μ(LCDA) + μ(LABC) = 180°.

Similarly, by applying the same reasoning, we can show that μ(LBCD) + μ(LDAB) = 180°.

Hence, we have proved Euclid's Proposition III.22, which states that if ABCD is a quadrilateral inscribed in a circle, then the sum of the measures of the opposite angles is 180°.

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Answer:

8.72 • 10^7

Step-by-step explanation:

The binomial distribution assumes that each sample is independent and the probability of success remains constant throughout the sampling process.

To solve these probability questions, we can use the binomial distribution formula. Let's define the following variables:

p = Probability of preferring a permanent, full-time job = 0.67

n = Sample size = 100

a. To find the probability that fewer than 71% prefer a permanent, full-time job, we need to calculate the cumulative probability from 0% to 70% (0.71):

P(X < 0.71 * 100) = P(X < 71) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 0 to 70

b. To find the probability that between 61% and 71% prefer a permanent, full-time job, we need to calculate the cumulative probability from 60% (0.6) to 70% (0.71):

P(0.6 * 100 ≤ X ≤ 0.71 * 100) = P(60 ≤ X ≤ 71) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 60 to 71

c. To find the probability that more than 69% prefer a permanent, full-time job, we need to calculate the cumulative probability from 70% (0.7) to 100% (1):

P(X > 0.7 * 100) = P(X > 70) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 71 to 100

d. If a sample of 400 is taken, the only change is the value of n. We will use n = 400 to recalculate the probabilities in (a), (b), and (c) using the same formulas.

Note: The binomial distribution assumes that each sample is independent and the probability of success remains constant throughout the sampling process.

Please note that calculating these probabilities requires performing multiple calculations and it would be more suitable to use statistical software or a calculator with binomial distribution capabilities to obtain the precise results.

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Answer:

7x18=x

solve for x , X= 127

answer = there are 127 students all together

hope this helpes

Answer:

Combine solutions: x=-3 or x=9

Step-by-step explanation:

Answer:

x = - 3, x = 9

Step-by-step explanation:

Given

2| x - 3 | - 5 = 7 ( add 5 to both sides )

2|x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always gives a positive value, however, the expression inside the bars can be positive or negative, that is

x - 3 = 6 or - (x - 3) = 6

Solving both equations

x - 3 = 6 ( add 3 to both sides )

x = 9

or

- (x - 3) = 6

- x + 3 = 6 ( subtract 3 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

As a check

2|9 - 3| - 5 = 2|6| - 5 = 12 - 5 = 7 ← Correct

or

2|- 3 - 3| - 5 = 2|- 6| - 5 = 2 |6| - 5 = 12 - 5 = 7 ← Correct

Thus the solutions are x = - 3, x = 9

Answer:

[tex]2\frac{1}{3}[/tex] ÷ 7 = [tex]\frac{1}{3}[/tex]

[tex]\frac{12}{14}[/tex] ÷ [tex]\frac{7}{6}[/tex] = [tex]\frac{36}{49}[/tex]

[tex]\frac{3}{5}[/tex] ÷ 5 = [tex]\frac{3}{25}[/tex]

[tex]\frac{22}{33}[/tex] ÷ [tex]\frac{6}{9}[/tex] = 1

[tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Hope that helps.

a. Sylvia can buy a maximum of 6 movie tickets in a week.

b. Sylvia can buy a maximum of 2 pizzas in a week.

c. Sylvia can buy 6 movie tickets with her budget, the opportunity cost of purchasing a pizza is 6 movie tickets.

a. To find the maximum number of movie tickets Sylvia can buy in a week, we need to divide her weekly budget by the price of each ticket.

Number of movie tickets = Weekly budget / Price of a movie ticket

Number of movie tickets = $24 / $4

Number of movie tickets = 6

Sylvia can buy a maximum of 6 movie tickets in a week.

b. To find the maximum number of pizzas Sylvia can buy in a week, we need to divide her weekly budget by the price of each pizza.

Number of pizzas = Weekly budget / Price of a pizza

Number of pizzas = $24 / $12

Number of pizzas = 2

Sylvia can buy a maximum of 2 pizzas in a week.

c. The opportunity cost of purchasing a pizza refers to the value of the next best alternative that Sylvia gives up when choosing to buy a pizza. In this case, since Sylvia has a fixed budget, the opportunity cost of purchasing a pizza would be the number of movie tickets she could have bought instead.

Since Sylvia can buy 6 movie tickets with her budget, the opportunity cost of purchasing a pizza is 6 movie tickets.

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Answer:

Kindly check explanation

Step-by-step explanation:

Give the steps used in solving the equation :

4x - (x + 2) + 6 = 2 ( 3x + 8)

Step 1:

4 x - x + 2 + 6 = 6 x + 16

Step 2:

3 x + 8 = 6 x + 16

Step 3:

8 - 16 = 6x - 3x

Step 4:

- 8 = 3 x

Step 5:

- 8 / 3 = x

Jorge's error was made in STEP 1:

4x - (x + 2) + 6 = 2 ( 3x + 8)

OPENING THE BRACKET SHOULD GIVE :

4x-x-2 +6 = 6x+16 AND NOT 4x - x+2+6 = 6x+ 16

Hence,

4x - x - 2 + 6 = 6x+16

3x + 4 = 6x + 16

4 - 16 = 6x - 3x

- 12 = 3x

-12 / 3 = x

-4 = x

Answer:

Jorge distributed incorrectly.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Expressing the ratios in fractional form

[tex]\frac{a}{b}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )

b = 6a → (1)

and

[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

a = 3c ← substitute into (1) , thus

b = 6 × 3c = 18c

Then b is 18 times bigger than c

B is 18 times bigger than C.

Given that,

Based on the above information, the calculation is as follows:

[tex]\frac{a}{b} = \frac{1}{6}[/tex]

And,

[tex]\frac{a}{c} = \frac{3}{1}[/tex]

Now we have to cross multiplied

So it comes 18

Therefore we can conclude that B is 18 times bigger than C.

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

7

Step-by-step explanation:

4.9/0.7=7

Answer:

The angular position of the minute hand at 3:30 is 2π radians.

Step-by-step explanation:

In a clock, the minute hand completes one full revolution (360 degrees) in 60 minutes or 2π radians.

At 3:30, the minute hand is at the 6 o'clock position, which corresponds to 180 degrees or π radians.

Since 3:30 is halfway between the 3 and 4 on the clock, the minute hand has moved halfway between the 6 o'clock position and the 12 o'clock position.

Therefore, the angular position of the minute hand at 3:30 is:

θ = π + (1/2) * (2π) = π + π = 2π radians.

Hence, the angular position of the minute hand at 3:30 is 2π radians.

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The choice of a and α that minimizes the variance of β, subject to the condition of unbiasedness, is given by α =

σ(X2)^2/[σ(X1)^2 + σ(X2)^2] and β = σ(X1)^2/[σ(X1)^2 + σ(X2)^2].

The estimators X1 and X2 with their standard errors were used to independently conduct two surveys to estimate a

population mean μ. Denote the estimators and their standard errors by X_1 X_2 and sigma X_1 and sigma X_2.

Assume that X_1 and X_2 are unbiased, and they can be combined to give a better estimator X = αX1 + βX2 for some α

and β.The conditions on α and β that make the combined estimator X unbiased are obtained as follows: Expectation of

X = E(X) = E(αX1 + βX2)E(X) = αE(X1) + βE(X2)Since X1 and X2 are unbiased, E(X1) = μ and E(X2) = μThus, E(X) = αμ + βμ =

μα + μβSolving for α, we have α + β = 1 α = 1 - βThis implies that the unbiased estimator X is given by X = (1 - β)X1 + βX2.

The variance of X can be found as follows: Var(X) = Var[(1 - β)X1 + βX2]Since X1 and X2 are independent, we have

Var(X) = [(1 - β)^2 Var(X1)] + [β^2 Var(X2)]Var(X) = (1 - β)^2 σ(X1)^2 + β^2 σ(X2)^2Since we need to find the values of α and

β that minimize Var(X), we need to differentiate Var(X) with respect to β and equate it to zero. Hence, d[Var(X)]/dβ = 2(1

- β)σ(X1)^2 - 2βσ(X2)^2 = 0On solving for β, we haveβ = σ(X1)^2/[σ(X1)^2 + σ(X2)^2]Thus, α = 1 - β = σ(X2)^2/[σ(X1)^2 +

σ(X2)^2]Therefore, the choice of a and α that minimizes the variance of β, subject to the condition of unbiasedness, is

given by α = σ(X2)^2/[σ(X1)^2 + σ(X2)^2] and β = σ(X1)^2/[σ(X1)^2 + σ(X2)^2].

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The partial derivatives (D₁f) (x, y) and (D₂f) (x, y) exist at every point of R², despite f not being continuous at (0,0).

The existence of partial derivatives (D₁f) (x, y) and (D₂f) (x, y) at a point (x, y) in R² is determined by the existence of the corresponding directional derivatives. The directional derivative in the direction of the x-axis, (D₁f) (x, y), measures the rate of change of f with respect to x, while the directional derivative in the direction of the y-axis, (D₂f) (x, y), measures the rate of change of f with respect to y.

In this case, f(0,0) is defined as 0, and the expression xy f(x, y) is given as x² + y². Since the given function evaluates to 0 at (0,0), we can conclude that the function is differentiable along the x and y axes, and therefore, the partial derivatives (D₁f) (x, y) and (D₂f) (x, y) exist at every point of R².

However, it is important to note that the existence of partial derivatives does not imply the continuity of the function. In this case, although the partial derivatives exist, the function f is not continuous at (0,0) because the limit of f as (x, y) approaches (0,0) does not exist. Thus, the existence of partial derivatives alone does not guarantee the continuity of the function.

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Answer:9.125, 9 3/8, 9.5, 9 3/4

Step-by-step explanation:

Answer: It is 360°

Explanation:

For any polygon the sum of the exterior angles is always 360°

For the first equation y' = (2 + y)y - x on [0, 1] with y(0) = 0 and h = 0.2, and the second equation y' = y sin(x) on [0, 7] with y(0) = 1 and h = 4

The given problem consists of two separate differential equations. In the first equation, y' = (2 + y)y - x on the interval [0, 1], with an initial condition of y(0) = 0 and a step size of h = 0.2. In the second equation, y' = y sin(x) on the interval [0, 7], with an initial condition of y(0) = 1 and a step size of h = 4.

For the first equation, we can solve it using numerical methods such as Euler's method or Runge-Kutta methods. By applying Euler's method with the given step size, we can approximate the values of y at different points within the interval [0, 1].

Starting with the initial condition y(0) = 0, we can calculate the values of y at subsequent points using the formula y_i+1 = y_i + h*f(x_i, y_i), where f(x, y) = (2 + y)y - x represents the given differential equation. By repeating this process for each step, we can generate an approximation of the solution y(x) within the specified interval.

For the second equation, y' = y sin(x), we can also use numerical methods such as Euler's method or Runge-Kutta methods. Similarly, by applying Euler's method with the given step size, we can approximate the values of y at different points within the interval [0, 7]. Starting with the initial condition y(0) = 1, we can calculate the values of y at subsequent points using the formula y_i+1 = y_i + h*f(x_i, y_i), where f(x, y) = y sin(x) represents the given differential equation. By repeating this process for each step, we can generate an approximation of the solution y(x) within the specified interval.

In summary, for the first equation y' = (2 + y)y - x on [0, 1] with y(0) = 0 and h = 0.2, and the second equation y' = y sin(x) on [0, 7] with y(0) = 1 and h = 4, we can use numerical methods like Euler's method to approximate the solutions of the differential equations within the respective intervals.

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Answer:

-2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Value of (256)0.16 X (256)0.0 = 0