2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.

A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).

Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.

We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):

slope= (y2 - y1) / (x2 - x1).

The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.

slope = (p(4)-p(8)) / (4 - 8)

Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)

Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
     = -48 / -4
     = 12

Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)

Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)

Simplifying the equation:
y - p(8) = 12x - 96

This is the equation of the secant line to the curve at the point (8, p(8)).

In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.

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The probability that Hugo buys at most 3 packs of cards would be; P(X ≤ 3) = 0.488

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

If X is the random variable that denotes the number of packs of cards Hugo buy, so

Then the probability that Hugo buys at most 3 packs of cards can be as:

P(X ≤ 3)  

The table given is expressed as;

X  of packs         1           2           3           4

P(X)               0.2      0.16       0.128     0.512

Therefore,

P(X ≤ 3) = P(1) + P(2) + P(3)

P(X ≤ 3) = 0.2 + 0.16 + 0.128

P(X ≤ 3) = 0.488

The probability that Hugo buys at most 3 packs of cards would be; P(X ≤ 3) = 0.488

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Answer:

niether

Step-by-step explanation:

Answer:

26.5%

Step-by-step explanation:

i did the math, that answer should be correct, but the question is stated  strange.

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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The total number of different collections of pets your roommate can take is 10 + 10 = 20.

In this scenario, your roommate has two options for which pets to take with him: either the dog or the cat. If he takes the dog, he can take any two of the remaining five pets (fish, turtle, rock, pony). There are 5 choose 2 = 10 ways for him to do this. If he takes the cat, he can take any two of the remaining five pets (fish, turtle, rock, pony, dog). There are 5 choose 2 = 10 ways for him to do this.

Therefore, the total number of different collections of pets your roommate can take is 10 + 10 = 20.

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Answer:

1. x = 2

2. x = -2

3 x = 1

Step-by-step explanation:

Make x the subjects and work from there

The correct answer is (c) analytical. Levels of a variable can have meaning and order when the variable is analytical variable.

Analytical variables are variables that have a meaningful order or ranking, such as height or weight. For example, height is an analytical variable because people can be ranked from shortest to tallest, and each height value is meaningful in relation to other height values.

Prescriptive variables describe the desired or prescribed behavior, such as in a set of rules or guidelines. Categorical variables divide data into categories or groups, such as gender or hair color. Continuous variables have an infinite number of values and can take on any value within a given range, such as temperature or time.

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Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7

Answer: Girls: 20

Boys: 30

Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.

Subtract 50-20 to get the number of boys, which is 30.

Answer:

If you asked the correct question, the answer would be 52.5 boys.

But, I believe the correct question is "In a class of 35 students, 40% are girls. Determine the number of boys." And the answer is 21 boys.

Step-by-step explanation:

Answer:

15child tickets

Step-by-step explanation:

$113.60÷4=28.4

28.4×3=85.2

113.60-85.2=100:6.3=15

17 (1/5) × 17,5 = 301

,..,.

The answer is y = 12x - 24

Use the form y = mx + b

If the points are (2, 0) and (3, 12) the slope is 12 which gives us m.

Since every time you go backwards once it goes down 12, (1, -12) is a point and then (0, -24) is a point that shows us the y-intercept which gives us b.

Answer: ABC EASY AS 123

Step-by-step explanation:

Answer:

Step-by-step explanation:

5. 50

and im stuck on 6

Answer:

Step-by-step explanation:

you said your scale factor is 0.66 then your area of 84 units*(2/3) = 56

Answer:

15.2 , 21.5 , 27.9 , 29.5

Step-by-step explanation:

please give brainliest and help me on my recent

Answer:

4 weeks

Step-by-step explanation:

The exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

To find the exact length of the curve represented by the parametric equations x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, we will use the arc length formula. The length of the curve is the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t.

We start by finding the derivatives of x and y with respect to t:

dx/dt = 6t

dy/dt = 6t^2

Next, we calculate the integrand for the arc length formula:

√[(dx/dt)^2 + (dy/dt)^2] = √[(6t)^2 + (6t^2)^2] = √(36t^2 + 36t^4) = 6t√(1 + t^2)

Now, we can set up the integral to find the length of the curve:

Length = ∫[0,3] 6t√(1 + t^2) dt

To evaluate this integral, we can use a suitable technique such as substitution or integration by parts. After evaluating the integral, we will have the exact length of the curve between t = 0 and t = 3.

In conclusion, the exact length of the curve represented by x = 6 + 3t^2 and y = 4 + 2t^3, where 0 ≤ t ≤ 3, can be found by evaluating the integral ∫[0,3] 6t√(1 + t^2) dt.

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we have

548+224

so

224=2+22+200

548+2=550

550+22=572

572+200=772

The order in the picture is correct

The new volume of the gas will be 10.0 L. The temperature of the gas has doubled from its initial value while the volume of the gas has also doubled from its initial value. The volume of the gas is directly proportional to the temperature of the gas.

A vessel contains gas at constant pressure and volume. When the temperature of the gas is increased, its volume will increase too. The volume of the gas is directly proportional to the temperature of the gas. This relationship between the volume of the gas and its temperature can be represented mathematically using the equation:

V₁ / T₁ = V₂ / T₂

where:

V₁ is the initial volume,

T₁ is the initial temperature,

V₂ is the new volume, and

T₂ is the new temperature.

The initial volume of the gas, V₁, is 5.0 L. If the temperature of the gas is doubled, the new temperature will be 2°C = 273 + 2 = 275 K.

The new volume of the gas, V₂, can be calculated as follows:

V₁ / T₁ = V₂ / T₂

5.0 / T₁ = V₂ / (2 T₁)

2 V₁ = V₂

V₂ = 2 V₁

V₂ = 2 (5.0) = 10.0 L

Therefore, the new volume of the gas will be 10.0 L. The temperature of the gas has doubled from its initial value while the volume of the gas has also doubled from its initial value. The volume of the gas is directly proportional to the temperature of the gas.

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Considering the definition of a line, the equation of the line that passes through the point (5, -5) and has a slope of -1/5 is y= -1/5x -4.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know that:

Substituting the value of the slope m and the value of the point in the expression of a line, the value of the ordinate to the origin b can be obtained as follow:

-5= -1/5×5 + b

-5= -1 + b

-5 +1= b

-4= b

Finally, the equation of the line is y= -1/5x -4.

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Answer:

$94.24

Step-by-step explanation:

Given :

Diameter of circular slab = 18feet

Thickness of slab = 3 inches ; inches to ft = 3 /12 = 0.25 feets

Volume of slab = πd²t/4 = (π*18²*0.25) / 4 = 63.6 ft³

1 cubic yard = 27 feet

Volume in yard = 63.6 / 27 = 2.356 yd³

Concrete = $40 per yd³

Cost = $40 * 2.356 = $94.24

Answer:

As an improper fraction: \(15/11\)

As a mixed number: \(1 \frac{4}{11}\)

As a decimal: 1.36

Step-by-step explanation:

\(3/5x - 1/3x = x - 1\)

Find a common denominator between 5 and 3 (15)

\((3 * 3) / 15x - (1 * 5) / 15 = x - 1\)

\(9/15x - 5/15 = x - 1\)

Subtract the fractions

\(4/15x = x - 1\)

Subtract x from both sides of the equation

\(-11/15x = -1\)

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Step-by-step explanation:

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

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to \($416.70.\)  

In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.

Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.

Given,

The monthly wage is  \($2,415.64\) dollars.

After expenses, discretionary funds equal 54% of monthly revenue.

Fixed monthly expenses equal \((100–54%)%\) of overall monthly income.

\(= 46%\)  of monthly gross revenue

\(= 0.46 × 2,415.64\)

\(= $ 1,111.1944\)

Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.

\(= 3 × 1,110.5544 = $ 3331.6632\)

This money will be conserved in 8 months, so

As a result, the monthly savings equal 1/8 of \($ 3331.6632\) .

\(= $ 416.6979 ≈ $ 416.70\)

Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to \($416.70\)  .

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The above question is incomplete, the complete question is given below:

Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months

Step-by-step explanation:

1) x - 1 = - 11

x = - 11 + 1

x = - 10

2) 9k = 54

k = 54/9

k = 6

3) 14 + r = 16

r = 16 - 14

r = 2

Answer:

X= -10

K= 6

R= 2

Step-by-step explanation:

You first want to isolate the variable and make sure that whatever you do to one side of an inequality or equation you must do to the other.

Answer:

y=x-10

Step-by-step explanation:

y=ax+b - linear equation

y=-x+7

a=-1

y=cx+d - perpendicular equation to y=ax+b

a*c=-1

(-1)*c=-1

c=1

y=x+d

(4,-6) => x=4, y=-6

y=x+d => -6=4+d

d=-10

y=x-10