The distance from Jeffreys Bay to Knysna is 198km. A driver departs on 9o'clock and arrives at 11o'clock. Calculate the driver's speed

Answer:

Runner 2 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second  is 8.5 minutes per mile

The third we need to find the slope

m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile

Answer:

Your missing point would be 6.

Answer:

β, α, γ

Step-by-step explanation:

The figure only shows us the side lengths of the triangle, but is asking for the angles.

Thus, we have to use the angle relationships of a triangle to answer the question.

⭐What are the angle relationships of a triangle?

α° is opposite of the side length with 9 cm.

β° is opposite of the side length with 12 cm.

γ° is opposite of the side length with 5 cm.

∴ The angles from highest to the least are β, α, γ

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Answer:

Step-by-step explanation:

The answer should be BAY but if i check it don't work

To find Keegan's optimal consumption bundle of pita wraps and bubble tea, we need to determine the combination that maximizes his utility while staying within his budget of $30. The price of a pita wrap is $6, and the price of a bubble tea is $3.

Step 1: Calculate the maximum quantity of each item Keegan can buy with his budget.
- Pita wraps: $30 / $6 = 5 wraps
- Bubble teas: $30 / $3 = 10 bubble teas

Step 2: List all possible combinations of pita wraps and bubble teas within the budget.
1. 0 wraps and 10 bubble teas
2. 1 wrap and 8 bubble teas
3. 2 wraps and 6 bubble teas
4. 3 wraps and 4 bubble teas
5. 4 wraps and 2 bubble teas
6. 5 wraps and 0 bubble teas

Step 3: Determine the optimal consumption bundle.
Without information about Keegan's preferences, we cannot definitively determine his optimal consumption bundle. However, these six combinations represent all possible bundles that Keegan can purchase with his $30 budget. Keegan's optimal consumption bundle would depend on his personal preferences for pita wraps and bubble teas.

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The simple modules of Cd, up to isomorphism, can be classified as follows:

There is one simple module of dimension 1.

There is one simple module of dimension 2.

There is one simple module of dimension 4.

To classify the simple modules of Cd, we can utilize the Artin-Wedderburn theorem and Schur's lemma. Firstly, since k is an algebraically closed field, the Artin-Wedderburn theorem implies that the group algebra Cd can be decomposed into a direct sum of matrix rings over k. Since the order of the cyclic group C is 4, we have four distinct conjugacy classes. Thus, the decomposition of Cd will have four matrix rings.

Next, we consider the dimensions of the simple modules. Schur's lemma states that the endomorphism algebra of a simple module is a division algebra. Since k is algebraically closed, the only division algebra over k is k itself. Therefore, each matrix ring corresponds to a simple module, and the dimension of each simple module is equal to the dimension of the corresponding matrix ring.

Since we have four matrix rings in the decomposition of Cd, we have four simple modules. The dimensions of these modules correspond to the dimensions of the respective matrix rings. Thus, we have one simple module of dimension 1, one simple module of dimension 2, and one simple module of dimension 4.

In light of the fact that g' = e (the identity element), we can deduce that g acts trivially on each simple representation. Therefore, the action of g on each simple module is given by the scalar multiplication by the corresponding eigenvalue. This completes the classification of all simple modules of Cd up to isomorphism.

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Answer:

37

Step-by-step explanation:

Answer:

2826

Step-by-step explanation:

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

The value of m for the given equation is 18. The solution has been obtained by solving the linear equation.

What is a linear equation?

A linear equation is the one with the highest degree of one. This demonstrates that there are no variables in a linear equation with an exponent bigger than one. On the graph, such an equation yields a straight line.

We are given an equation as 2 = m/2 - 7

On solving the equation for m, we get

⇒2 = m/2 - 7

⇒2 = (m - 14)/2

⇒2*2 = (m - 14)

⇒4 = m - 14

⇒m = 18

Hence, the value of m for the given equation is 18.

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Sometimes in math we describe an expression with a phrase

"2 more than 5"

can be written as the expression

2 + 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

There are two ways to write the given expression in words

1.The sum of the quotient of the number k by the number 3 and the number 16.

the sum (+)

quotient k/3 = k : 3

2.The sum of the third part of the number k and the number 16.

third part = k/3

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Answer:

brainliest please i work really hard for this

Step-by-step explanation:

Hit Water:

He hits the water when his height, h(t), is 0 meters above water.

0 =  

This is no factorable so we use the quadratic formula.

(-b±√(b²-4ac))/2a

(-10±√(10²-4*-5*3))/2*-5

(-10±√(100+60))/-10

(-10±√160)/-10

(-10±√16*10)/-10

(-10±4√10)/-10

(-10±4√10)/-10         Seperate to two equations

(-10+ 4√10)/-10                          and                (-10- 4√10)/-10

(-10+12.65)/-10                                                 (-10-12.65)/-10  

-.265 Not Solution                                          2.265 Seconds

Becasue there is no negative time

The diver hits the water at 2.265 seconds

For when he is at the same height as the spring board, we need to find the height of the spring board, and we do that by substituting 0 for t because we need the height 0 seconds after he jumps.

h(0) = -5*0^2 +10*0 +3

h(0) = 3   The height of the spring board is 3 so we need to know when he is at 3 meters again.

3= -5t^2 + 10t + 3       Subtract 3 from both sides

0= -5t^2 +10t

0= -5(t^2-2t)       Factor out -5 and divide both sides by -5

0= t^2-2t    

0= t(t-2)      Factor out t.

Solve.

t= 0               t-2=0

                    t= 2

He will be at the same height as the spring board at t= 2 seconds

Answer:

y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.

Step-by-step explanation:

The greatest possible value of k such that n is divisible by 5k is 39.

Any number that cannot be divided by two is considered an odd number. For instance, 25 is strange because it cannot be split by 2. A integer is considered to be divisible by two if its last digit is any of the following: 0, 2, 4, 6, or 8.

To find the greatest possible value of k such that n is divisible by 5k, we need to determine the highest power of 5 that divides n.

The product of the odd numbers from 99 to 199, inclusive, can be expressed as:

n = 99 * 101 * 103 * ... * 197 * 199

To find the power of 5 that divides n, we need to determine the number of factors of 5 in the product.

A factor of 5 is introduced for every multiple of 5 in the product. We need to count the multiples of 5 in the range from 99 to 199.

The largest multiple of 5 in that range is 195, which is 39 * 5.

Therefore, there are 39 multiples of 5 in the product.

To find the highest power of 5 that divides n, we divide 39 by k and find the largest possible integer value for k.

The largest possible value of k is the largest factor of 39.

The factors of 39 are 1, 3, 13, and 39.

Since we are looking for the greatest possible value of k, the answer is 39.

Therefore, the greatest possible value of k such that n is divisible by 5k is 39.

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you literally just need to add a single letter. You need to place the letters “t” and “r” to the word “shore”. After you do that, the word becomes “shorter”. Another possible answer is the word “Sorte”.

Answer:

The answer is in the question

So...short is a five letter word

You add er, so it is shorter

Step-by-step explanation:

The answer is short :D

The expression will give two different values can be obtained by inserting a single set of parentheses 13.3, and 23.3.

The total number of values that can be obtained by inserting a single set of parentheses, we need to consider the different possible placements of the parentheses within the expression 23-4.7-5.

The given expression is: 23 - 4.7 - 5

We can place the parentheses around any two adjacent terms in the expression. Let's consider the possibilities

A) (23 - 4.7) - 5

Resulting value

18.3 - 5 = 13.3

B) 223 - (4.7 - 5)

Resulting value

23 - (-0.3) = 23 + 0.3

= 23.3

So, with the given expression, two different values can be obtained by inserting a single set of parentheses: -10, 13.3, and 23.3.

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Hey there! I'm happy to help!

to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.

First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.

Let's do that formula backwards on our surface area to find the radius.

We divide by π

100÷π=100

We divide by 4.

100÷4=25

We find the square root.

√25=5

Now, we use our radius in the volume formula.

5³=125

125×4/3=500/3

We multiply by π.

500/3π

Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.

Have a wonderful day! :D

Answer:

V=166.66\(\pi\) ft³

Step-by-step explanation:

The surface area of a sphere is 4\(\pi\)r²

100\(\pi\)=4

100\(\pi\)/4

25=r²

r=5

Now that we know the radius is 5, we can find the volume.

v=4/3\(\pi\)(5)³

v=(5*5*5*4)/3*\(\pi\)

V=166.66\(\pi\)

The scenario involves two people who invested different amounts of money for a certain number of years, with one person also investing an additional amount later.

The investment scheme is based on compound interest, which means the interest earned on the investment is added to the principal, and then the interest is earned on the new total.

After the given number of years, the question asks which person has more money based on their investments and the interest earned.

P.S: Your question is incomplete, so I gave you a general overview of a possible scenario about compound interest.

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Answer:

1. Distribute

2. Combine like terms

3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)

4. Solve for one of your variables (inverse operation: Multiple / Division

5. Simplify

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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According to the sigma factor, the gene encoding sigma-32 states that Genes usually unregulated by heat shock will be less responsive to heat treatment.

Sigma factor:

Sigma factor defines that a detachable polypeptide subunit of RNA polymerase that facilitates the initiation of transcription by recognizing specific DNA promoter sites.

Given,

Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain.

Here we need to determine in which has a mutation in the gene encoding sigma-32.

While we looking into the given question, Sigma-32 is a sigma factor, which mediates response to heat shock.

Basically, the genes  usually unregulated by heat shock will be less responsive to heat treatment.

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Answer:

2

Step-by-step explanation:

2 is the highest number than multiplies into both 46 and 38

Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as \(\frac{25}{1}\), although it's not necessary here

B is always the y-intercept, which is 100 here

Answer:

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

CUS ISOCOLIES IS TWO SIDES THE SAMEE

Step-by-step explanation:

In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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True, conditional formulas can be used to exclude data from analysis if certain conditions are met. These formulas, often found in spreadsheet software and programming languages, allow you to set specific criteria that must be met in order for the data to be included or excluded from your analysis.

This can be useful in situations where you need to focus on specific subsets of data, or to remove outliers or irrelevant information from your dataset.

By incorporating conditional logic in your formulas, you can ensure that only relevant and useful data is included in your analysis, making it more accurate and efficient. Overall, the use of conditional formulas can greatly enhance your data analysis by providing a flexible and powerful tool to filter and process your data based on specific requirements.

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We have that, the values of the trigonometric functions are going to be given by

\(sin t =  -0.98\\cost = -0.15\\tan t = -6.40\\cot t = -0.16\\sec t = -6.71\\csct = -1.02\\\)

The trigonometric functions of t, in Quadrant IV, can be found using the basic trigonometric relations. Since the terminal point of t is in Quadrant IV, the values of the trigonometric functions can be found by taking the absolute value of the given angle.

\(sin t = | sint | = |sin (sect) = |sin 3| = -0.98\\cost = |cost| = |cos (section) = |cos 3| = -0.15\\tant = |tant| = |tan (sect) = |tan 3| = -6.40\\cot t = |cot t| = |cot (sect) = |cot 3| = -0.16\\sec t = |sec t| = |sec (section) = |sec 3| = -6.71\\csc t = |csc t| = |csc(section) = |csc 3| = -1.02\\\)

These are the values of the trigonometric functions of t given that its terminal point is in Quadrant IV.

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