Annie ran a total of 55.3 miles of 7.75 days about how much did she run each day

Answer:

Step-by-step explanation:

4x2−y2−24x+4y+28=0⇒(4x2−24x)−(y2−4y)+28=0

Answer:

I guess 8 is your answer.

Step-by-step explanation:

brainly please

The additive inverse of 6/5 is -6/5. The reason is that when you add a number and its additive inverse, the result is always zero: 6/5 + (-6/5) = 0.

In mathematics, when we have a fraction with a negative numerator and a negative denominator, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor (GCF) of the absolute values of the numerator and denominator. This process does not change the sign of the fraction.

In the case of -6/-5, the absolute value of the numerator is 6 and the absolute value of the denominator is 5, and the GCF of 6 and 5 is 1. Dividing both the numerator and denominator by 1 gives us -6/-5, which is equivalent to 6/5, with the negative sign indicating that the fraction is negative.

So the negative or additive inverse of -6/-5 is simply its equivalent positive fraction, which is 6/5. This is because the additive inverse of any fraction is a fraction that, when added to the original fraction, results in 0. In this case, adding -6/-5 and 6/5 results in 0.

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Answer:

x= 70 degrees

y= 70 degrees

z= 35 degrees

Step-by-step explanation:

Using Trigonometry formulae,

the length of the longest item that can be carried horizontally around the corner is 19.60 feet.

Let's try to draw it and try to solve with a diagram we're moving into a new apartment. We see that the right corner is 8 feet wide, but then that's right there is 6 feet wide and we're going to have some ladder or a long item required here .

Creating some angle θ and let b feet be the distance parallel to 8 feet and a be the distance parallel to 6 feet and then one portion we'll call d, other one portion e . So, the total length (L) = d + e

In this case, sinθ = b/e,

because that's the opposite over the hypotenuse, => e sinθ = b

and d cosθ = a

We know that e = b cosecθ and d = a secθ

so the length(L) = a secθ + b cosecθ In order to maximize length , we want to take the derivative with respect to θ we get,

dL/dθ = - b cotθ cosecθ + a secθ tanθ

now, dL/dθ = 0

=> - b cotθ cosecθ+ a secθ tanθ = 0

=>b cotθ cosecθ = a secθ tanθ

=>tan³θ = b/a

=> tanθ = (b/a )⁰·³³

plugging value of b= 6 and a = 8

tanθ = (6/8)⁰·³³

=> tanθ = 0.9085

so, θ = tan⁻¹(0.9085)

=> θ = 42.2550

plug the value of θ in e and d

we get , e = 6 cosec(42.2550) = 8.8 d = 8 sec(42.2550) = 10.80

then, L = d + e

=> L = 8.8 + 10.80 = 19.60

Hence, the required length is 19.60 feet .

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If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

help meeeee plss im takeing the quick check rn

Step-by-step explanation:

plss:((((((((((((((

The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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Answer:

x = 2

Step-by-step explanation:

since K is at the midpoint of JL then

JK = KL , that is

7x + 3 = 2x + 13 ( subtract 2x from both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2

48

you split up the figure so that you can get the area of different shapes and then add them together

8*3= 24

2*12= 24

24+24= 48

Answer:

48ft^2

Step-by-step explanation:

area of 1st rectangle=

(12-3)*(2) = 18ft^2

area of 2nd rectangle=

3*10 = 30ft^2

total area= 18+30 = 48ft^2

The equation for the Bowler world is c = $1.1g + $5,

The equation for the Lucky spares is c = $1.5g + $3.

and the cost is the same for 5 games and the cost is $10.5.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the Bowler, World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.

Part A

using g for the number of games and c for the cost

for Bowler World

charges for shoes = $5

cost for per game = $1.1

cost for g games = $1.1g

total cost c =  $1.1g + $5 ..........(1)

for Lucky spares

charges for shoes = $3

cost for per game = $1.5

cost for g games = $1.5g

total cost c =  $1.5g + $3 ..........(2)

B. if the cost used in both places is equal then equation 1 equals equation 2

so $1.1g + $5 = $1.5g + $3

1.5g - 1.1g = 5 - 3

0.4g = 2

g = 2/0.4

g = 5

and cost is c =  $1.1g + $5

c = 1.1*5  + 5

c = 5.5 + 5

c = $10.5

Hence equations are  c =  $1.1g + $5 and  c =  $1.5g + $3,

and the cost is same for 5 games and the cost is $10.5.

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Answer:

-11.3

Step-by-step explanation:

You start off at -11 and count down and it ends up at -11.3

Answer: False!

This equation is in slope - intercept form, where y = mx + b. B is the y - intercept and m is the slope. They got the location of the y - intercept right, but they forgot to add the negative. It's actually -8.

Hope this helps!

The y-intercept is -8 as the minus always stays with the number to the right of it

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:45 ish

Step-by-step explanation:

Answer:

The answer to your problem is, 1:4

Step-by-step explanation:

In order to find a ratio using time follow the steps down below.

1 hour = 60 minutes.

60 / 15 =

4.

Since it is only one hour the first " number of the ratio " is 1:?.

( ? Indicates not found )

Since 60 / 15 = 4 then it will be our next " number of the ratio. "

Which then entitles to the ratio

1:4.

Thus, your answer is, 1:4.

a.the value of c that makes f(y) a probability density function is c = 1.

a. To make f(y) a probability density function, we need to ensure that the integral of f(y) over the entire range equals 1. In this case, we have:

∫[0 to 2] cy dy = 1

Integrating, we get:

c/2 *\(y^2\) | [0 to 2] = 1

(c/2 * \(2^2\)) - (c/2 * \(0^2\)) = 1

2c/2 = 1

c = 1

Therefore, the value of c that makes f(y) a probability density function is c = 1.

b. To find F(y), the cumulative distribution function, we integrate f(y) from negative infinity to y:

F(y) = ∫[0 to y] cy dy

     = (1/2) * \(y^2\) | [0 to y]

     = (1/2) * \(y^2\) - (1/2) * 0^2

     = (1/2) *\(y^2\)

c. Let's graph f(y) and F(y):

Graph of f(y):

```

     |

     |         /

     |        /

     |       /

     |      /

______|_____/____

     0    2

```

Graph of F(y):

```

     |

     |    ------

     |   /

     |  /

     | /

______|/_________

     0    2

```

d. To find P(1 ≤ Y ≤ 2), we can use the cumulative distribution function:

P(1 ≤ Y ≤ 2) = F(2) - F(1)

            = (1/2) * \(2^2\) - (1/2) * \(1^2\)

            = 2/2 - 1/2

            = 1/2

Therefore, P(1 ≤ Y ≤ 2) = 1/2.

e. To find P(1 ≤ Y ≤ 2) using the density function and geometry, we can calculate the area under the curve of f(y) between y = 1 and y = 2. Since f(y) is a straight line from 0 to 2, the area can be calculated as the area of a triangle:

Area = (1/2) * base * height

    = (1/2) * (2-1) * (2-0)

    = (1/2) * 1 * 2

    = 1

Therefore, P(1 ≤ Y ≤ 2) = 1. This matches the result we obtained using the cumulative distribution function.

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Answer:

Perimeter = 54

Step-by-step explanation:

Since AC = RP, then the following also applies:

AB = RB

CB = PB

So, in order to determine this, you first need to find a common ratio in order to find the missing side of PB which you need for the perimeter.

To determine the ratio you do the following:

AB = 21 (14 + 7)

RB = 7

21: 7   = 3: 1

This means in finding a smaller side you can divide by the value 3 to find it.

It also means that side CP is 2/3 of the value of CB which means that we need 1/3 of the value left in order to determine PB:

CP = 10 = 2/3, which means 1/3 is 5, so

PB = 5

Therefore: CB = 15

Perimeter = CB + AC + AB

15 + 21 + 18 = 54

Answer:

-3,-5

Step-by-step explanation:

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

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The equation that shows a proportional relationship is y = 7x.

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

Therefore, a proportional relationship can be represented as y = kx.

where

Therefore, y varies directly as x in a proportional relationship.

Hence, the equation that shows proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

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Answer:

y = 7x

Step-by-step explanation:

the proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

Answer:

(45x)

Step-by-step explanation:

(13x+9x) + (17x+6x)

(22x) + (23x)

(45x)

// have a great day //

The inequalities that represent the given word problem is;

1.2x + 2y ≤ 20    

x + y ≤ 16

We are given;

The cost of each apple = $1.25

The cost of each mango = $2

The maximum number of apples = 20

The maximum number of mangoes = 3

The minimum selling amount of chairs and tables = $ 4800

Let the number of apples purchased be x

Let the number of mangos purchased be y

Thus, we can form the inequalities as;

1.2x + 2y ≤ 20         .......(1)

x + y ≤ 16   -----(2)

x ≤ 13     -----(3)

y ≤ 3     ------(4)

Now, from the inequality graph attached the point where the two graphs meet is a solution to the simultaneous inequalities which is;

x ≤ 11.67 and y ≤ 3

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Answer:

Number is 19

Step-by-step explanation:

denote the number by x.

the line says:

5x - 20 = 18 + 3 x

Subtracting 3x form both sides

2x - 20 = 18

adding 20 to both sides

2x = 38

dividing both sides by 2

x = 19

Answer:

19

Step-by-step explanation:

let n = the number

5n - 20 = 18 + 3n

combine like terms in one of four different ways

2n = 38

n = 19

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

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Answer:

for quest

Step-by-step explanation:

For part A of question 4:

The sales tax is .99¢

So the total is $15.99

Answer: I believe the answer would be B. b9

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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