Multiply.

(−5 5/8)⋅(−2 1/3)

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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There are 22 event at an indoor track and field meet. The ratio of track event to field event is 8:3. Therefore, there are 16 track events.

Ratio:

In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7).

Now,

If you want to know the number of events in track events, we can calculate it in two steps:

Divide 22 in the ratio 8:3.

First,

add the numbers = 8 + 3 =11

Second,

For 08, We Multiple and divide  = 8/11 × 22

                                                     = 16

Again,

For 03, We again multiple and Divide = 3/11 × 22

                                                              = 06.

Therefore, there are 16 track events.

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Answer:

You should put "no solution" into the parallel lines box,

you should put "infinite solutions" into the coinciding lines box,

you should put the "(0,0)" and the "(3,-2)" into the intersecting lines box.

Step-by-step explanation:

the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).

To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.

The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:

f'(x) = -2cos(x)

Therefore, f'(34π) = -2cos(34π) = -2.

This means that the slope of the tangent line is -2 at x = 34π.

To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:

y - f(34π) = m(x - 34π)

Substituting the values we have found, we get:

y - (-2sin(34π)) = -2(x - 34π)

Simplifying, we get:

y = -2x + 68π + 2sin(34π)

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Step-by-step explanation:

1=78°

3= 78°

4= 360°- 78° - 78°

= 204° ÷ 2

= 102°

2= 102°

Note that 1+2+3+4=360°

180° - (4)

= 180° - 102°

= 78° ÷ 2

= 39°

ans; angle ACD is 39°

Answer:

39°

Step-by-step explanation:

Both ∠ACD and ∠1 refer to same arc AD

Since ∠1 is central angle, it is the twice the size of ∠ACD,

therefore

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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equation of line can we written by using slope point form

slope of line from equation and point is given

Answer:

x = 12

Step-by-step explanation:

Theorem of Thales

\(\frac{28}{12} =\frac{x+(x-3)}{x-3}\)

\(\frac{28}{12} =\frac{2x-3}{x-3}\)

\(28(x-3)=12(2x-3)\)

\(28x-84=24x-36\)

\(28x-24x=-36+84\)

\(4x=48\)

\(x=48/4\)

\(x=12\)

Hope this helps

Since f(x) is continuous, so is h(x).

Also, since f (3) = 4 and f (5) = 2, we have

h (3) = f (3) + 2•3 = 4 + 6 = 10

h (5) = f (5) + 2•5 = 2 + 10 = 12

It follows from the intermediate value theorem that there is some t between 3 and 5 such that h(t) is between 10 and 12, and namely there is some t for which h(t) = 11.

The underage cost incurred to Le Club by ordering one fewer bottle of a €10 wine is €10. This is because the underage cost is the cost of not having enough inventory to meet demand. In this case, if Le Club orders one fewer bottle of wine, they will be short one bottle and will have to pay €10 to purchase another bottle to meet demand.

The overage cost incurred to Le Club by ordering one more bottle of a €10 wine is €0. This is because the overage cost is the cost of having too much inventory. In this case, if Le Club orders one more bottle of wine, they will have an extra bottle that they can sell at a later time, so there is no additional cost incurred.

In conclusion, the underage cost incurred to Le Club by ordering one fewer bottle of a €10 wine is €10, while the overage cost incurred to Le Club by ordering one more bottle of a €10 wine is €0.

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Answer:

ACD and BCE

Step-by-step explanation:

Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

Given that:

\(C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }\)

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is:

\(t \ge 0\)

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.

A function assigns the value of each element of one set to the other specific element of another set.

A.) Given the function of the concentration of medication in the body as to\(C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}\) where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.

B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.

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Answer:

83

Step-by-step explanation:

get rid of decimals and become 2988/36

divide and get 83

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2  -1

=  1 / [ 2 * (16 - x)^1/2

Derivative of the denominator =  1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by  4 + (16 - x)^1/2

This  becomes   16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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Answer:

b=43.16

Step-by-step explanation:

You can use the Pythagorean Theorem so a^2+b^2=c^2

b^2+21^2=48^2

b^2 + 441 =2304

b^2 = 1863

b^2 = square root of 1863

b=43.1625

b=43.16

To ensure that all the relevant information is included in the answer, the following explanations will be given.

There are different types of ANOVA such as one-way ANOVA and two-way ANOVA. These ANOVA types are determined by the number of factors or independent variables. One-way ANOVA involves a single factor and can be used to test the hypothesis that the means of two or more populations are equal. On the other hand, two-way ANOVA involves two factors and can be used to test the effects of two factors on the population means. In the question above, the type of ANOVA used is not given.

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To solve this problem the first thing we have to do is identify our variables

The time taken by Janice will be represented by a j, and the time taken by Donald by a d.

• Donald builds the picnic table in hours: , 1/d, of the picnic table per hour

• Janice builds the picnic table ,j=d-2, in hours: ,1/(d-2), of the picnic table per hour

Now we will get our equation to solve

Janice and Donald worked together for 2 hours to build a picnic table, after which Donald continued working for 1 hour without Janice to finish the job.

We factor our equation to find Donald's time

They gave us 2 values but we discarded the value of d=1 because the joint calculations would give negative calculations then

The statement "9z (2,0) = 0" is False.

To evaluate the expression 9z at the point (2, 0) for the function g(x, y) = yln(x) - x²ln(2y + 1), we substitute x = 2 and y = 0 into the expression. However, we encounter an issue with the natural logarithm term.

In the expression yln(x), when y = 0, the term yln(x) becomes 0ln(x), which is undefined for x ≠ 1. Therefore, the function g(x, y) is not defined at the point (2, 0).

Since g(x, y) is undefined at the point (2, 0), we cannot evaluate the expression 9z (2, 0) because the function value is not well-defined at that point.

Therefore, the statement "9z (2,0) = 0" is False.

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Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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Answer:

12.35

Step-by-step explanation:

Just multiply

\(19\)

and

\(0.65\)

Because

Orginal Price x Sale Cost= Sale of the Price.

\(19 \times 0.65 = 12.35\)

The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

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Answer:

Factor 64h^3+216k^9

Step-by-step explanation:

The given expression is a sum of two terms:

[64h^3+216k^9

Notice that each term has a common factor. For the first term, the greatest common factor (GCF) is 64h^3, and for the second term, the GCF is 216k^9. So we can factor out these GCFs to get:

64h^3+216k^9 = 64h^3(1 + 3k^6)

This expression cannot be factored any further, so the final answer is:

64h^3+216k^9 = 64h^3(1 + 3k^6)

If you can, give me brainliest please!

Answer:

The coefficient of x²

a) 1

b) -4

the coefficient of x² is the number in front of the x²(variable).

Coefficient= Constanta

I hope this helps

if u have question let me know in comments ^_^

Answer:

a) 1.

b) -4.

Step-by-step explanation:

The coefficient is the number  multiplying x2. If it is 1 it is usually omitted.

The question is incomplete. The complete question is :

George, Matthew and Isabelle invest money in a savings account, which pays compound interest of 3% p.a.

a). George invested £ 4800. Work out the total value of his investment after 5 years.

Solution :

It is given that :

George invested amount of, P = £ 4800

Time of investment, t = 5 years

Rate of interest, r = 3 % p. a.

The total value will be :

\($A=P(1+\frac{r}{100})^t$\)

\($A=4800(1+\frac{3}{100})^5$\)

\($A=4800\times (1.03)^5$\)

\(A = 4800 \times 1.1592\)

   = 5564.16

Therefore the total value after 5 years = £ 5564.16

The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

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Answer:

=[(2

2

)

3

×3

6

]×5

6

=2

6

×3

6

×5

6

=64×729×15625

=729000000

=3

6

×10

6

=30

6

Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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