Kyle lan part of a 42 km marathon at an
average speed of 12 km/hr and walked the
rest at an average speed of 5 km Ihr. He
wasn't feeling great, so he spent Ihr
more time walking than running. How
long did it take him to finish the
marathon

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

The df(total) for the ANOVA study is 35.

The df(total) for this ANOVA study can be calculated by using the formula df(total) = N - 1, where N is the total number of participants in the study. In this case, since there are three treatment conditions with n = 12 participants in each treatment, the total number of participants in the study is N = 3 x 12 = 36. Therefore, the df(total) for this study is calculated as follows:

df(total) = N - 1
df(total) = 36 - 1
df(total) = 35

So, the df(total) for this ANOVA study is 35.

In summary, ANOVA is a statistical analysis technique used to evaluate the mean differences among different treatment conditions in a study. The df(total) is an important value in ANOVA, as it is used to calculate the F-ratio and determine the statistical significance of the results. The df(total) can be calculated using the formula df(total) = N - 1, where N is the total number of participants in the study. In this case, the df(total) for the ANOVA study is 35.

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Answer:

tangent 68° = opposite / adjacent

opposite (wall height) = tan (68) * 4 feet

opposite (wall height) = 2.4751 * 4 feet

opposite (wall height) = 9.9004 feet or

9.9 feet (to the nearest tenth of a foot).

Step-by-step explanation:

Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]

A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.

The equation can be used to describe the candle's length, R(t):

R(t) = 11 - 1.1t

where t represents how long the light has been burning, in hours.

We must determine t in terms of R in order to determine the negative of R(t):

R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)

R(t)'s inverse function is thus:

\(R^{(-1)}(R) = (11 - R)/1.1\)

0 ≤ R ≤ 11

So, R(-1)'s scope is as follows:

[0, 11]

0 ≤ R ≤ 11

Inputting these limits into the equation for R(-1) yields the following results:

\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)

R(-1)'s possible spectrum is thus:

[0, 10]

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Answer: The degrees of freedom (df) for the sample in a t-test are calculated as df = n - 1, where n is the sample size.

In this case, the sample size is n = 25. Therefore, the degrees of freedom for the sample are:

df = n - 1 = 25 - 1 = 24

So, the degrees of freedom for the sample in this case is 24.

Step-by-step explanation:

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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The average rate of change is

\(\dfrac{g(1)-g(-6)}{1 - (-6)} = \dfrac{2(1)^2-2(-6)^2}{1+6} = -\dfrac{70}7 = \boxed{-10}\)

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0

then the answer is; 2ln(x + 3) = 0

ln[(x + 3)²] = 0      

(x + 3)² = 1

x + 3 = ±√1

x + 3 = ±1

x = 1 - 3, -1 - 3

x = -2, -1 - 3

x = -2, -4

when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.

therefore;

x = -2

hope this helps, God bless!

Answer:

c

Step-by-step explanation:

Answer:

34000000

Step-by-step explanation:

hope it helps you and give me a brainliest

The average speed throughout the given time was [1,2] = -2.00 cm/sii. -0.26 cm/siii for [1,1.1]. [1.1,1.01] = 0.17 cm/siv. [1.1,1.001] = 0.02 cm/s

The particle's displacement divided by the passage of time represents its average velocity at each time interval. The displacement of the particle for the above motion equation is given by s = 2 sint + 4 cost. By subtracting the displacement at the beginning and end of the period and dividing it by the change in time, we can determine the average velocity for each time period. As an illustration, the displacement for the time period [1,2] is 2 sin + 4 cos at the beginning of the period and 2 sin + 4 cos at the end of the period. These two figures differ by -4, and one second has passed between them.

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Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

Answer:

6 units

Step-by-step explanation:

There is only a translation being shown, meaning that the shape is only moving. It is not getting larger or smaller.

Answer:

your answer will be option C.6

because the length does not change on translation

Step-by-step explanation:

have a nice day

Answer:

159???????

Step-by-step explanation:

Step 1: We draw the triangle described in the word problem. Since the triangle can be any similar right triangle, we can choose the measure of the sides under the condition that the triangle will be a right triangle and one of its angles measures 28°. For example, the measure of one side can be 5 units.

Step 2: We find the measure of the opposite leg and the hypotenuse.

• Opposite leg: Since it is a right triangle, we can use the trigonometric ratio tan(θ).

Then, we have:

• Hypotenuse: Since it is a right triangle, we can use the trigonometric ratio cos(θ).

Then, we have:

Step 3: We find the trigonometric ratios sine, cosine and tangent.

• Sine

• Cosine

• Tangent

119 runners did not finish the race.

To determine the number of runners who did not finish the race, we need to calculate the total number of runners who started the race and subtract the number of runners who finished.

The total number of runners who started the race is the sum of the runners in each wave:

Total runners = Runners in first wave + Runners in second wave + Runners in third wave

Total runners = 341 + 295 + 316

Total runners = 952.

To calculate the number of runners who finished the race, we need to multiply the total number of runners by the fraction of runners who finished (7/8):

Runners who finished = Total runners \(\times (7/8)\)

Runners who finished \(= 952 \times (7/8)\)

Runners who finished = 833.

Since we cannot have half of a runner, we round down the decimal to the nearest whole number since we're dealing with people.

Therefore, 833 runners finished the race.

To find the number of runners who did not finish, we subtract the number of runners who finished from the total number of runners:

Runners who did not finish = Total runners - Runners who finished

Runners who did not finish = 952 - 833

Runners who did not finish = 119

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The factored expressions (x + 3)(x + 27), (x + 9)(x + 9),and (x - 3)(x + 27) can matched to the quadratic expressions x² + 30x + 81, x² + 18x + 81, and x² + 24x - 81 respectively.

Factor is a number or an expression that divides another without a remainder. That is if multiplying two expressions gives us a product, then the expressions we are multiplying are factors of the product.

(x + 3)(x + 27) = x² + 27x + 3x + 81

(x + 3)(x + 27) = x² + 30x + 81

(x + 9)(x + 9) = x² + 9x + 9x + 81

(x + 9)(x + 9) = x² + 18x + 81

(x - 3)(x + 27) = x² + 27x - 3x - 81

(x - 3)(x + 27) = x² + 24x - 81

Therefore, the factored expressions (x + 3)(x + 27), (x + 9)(x + 9),and (x - 3)(x + 27) can matched to the quadratic expressions x² + 30x + 81, x² + 18x + 81, and x² + 24x + 81 respectively.

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Angles C and D are supplementary, or they add up to 180.

b = 180 - 75 - (180 - 127)

Hope this helps!

Answer:

Step-by-step explanation:

∠C + ∠D = 180   {Linear pair}

∠C + 127  = 180

           ∠C = 180 - 127

In ΔABC ,

∠A + ∠B + ∠C = 180   {angle sum property of triangle}

∠B = 180 - ∠A - ∠C

b = 180 - 75 - (180 - 127)

Answer:

x= 18,0

Step-by-step explanation:

Using conditional probability, it is found that the correct statement is given by:

C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

If two events are independent, we have that:

\(P(A \cap B) = P(A)P(B)\).

Hence:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)\)

Which means that option C is correct.

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Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

Answer:

a i think

Step-by-step explanation:

Answer:

(B) It decreases

Step-by-step explanation:

I figured this out with basic logic, but we can use proof to find it out.

If we have \(35+k\), we can assume that k is around 10.

So \(35+10=45\).

Now let's decrease k by 1, making k=9.

\(35+9=44\)

We can see that the value is decreasing, but let's try one more.

Let's make k=8.

\(35+8=43\)

So we can see the general pattern here is that it's decreasing.

Hope this helped!

2/3 I hope this helps!! :3

After answering the prοvided questiοn, we can cοnclude that The equatiοn οf the parabοla is: \($y=(-7/25)(x-2)^{2}+4$\)

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

Equatiοns can be simple οr cοmplex, regular οr nοnlinear, and include οne οr mοre factοrs. In the equatiοn "x² + 2x - 3 = 0," fοr example, the variable x is raised tο the secοnd pοwer. Lines are used in many different areas οf mathematics, such as algebra, calculus, and geοmetry.

where (h,k) is the vertex and 'a' is the cοefficient οf the squared term.

\($\begin{array}{l}{y=a(x-2)^{2}+4}\\ {-3=a(-3-4)^{2}+4}\\ {-7=25a+4}\\ {-7=25a}\\ {a=-7/25}\end{array}$\)

Therefοre, the cοefficient οf the squared term in the parabοla's equatiοn is -7/25.

The equatiοn οf the parabοla is:

\($y=(-7/25)(x-2)^{2}+4$\)

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Answer is (d). 1m & 4 m. The magnitude of the result of P + Q is between P + Q and P - Q. The magnitude of the resultant is between 3 and 5 meters when the displacement is between 1 and 4 meters.

A resultant displacement is produced when displacement vectors are added. However, as long as two vectors have the same vector amount, any two vectors can be added. A resultant velocity is produced when two or more velocity vectors are added. A resultant force is created when two or more force vectors are joined together.

S = x^2 + y^2 is the displacement formula that results. For displacement, use the letter "S." The object is moving in two directions at once: X in the first direction and Y in the second. Y = 0 if your object only moves in one direction.

verify option 1:

(1,1) = P+Q = 1+1=2

P-Q = 1-1 =0

Resultant R = 2+0 = 2 (so, we can add this Option)

verify option 2:

(1,2) = P+Q = 1+2=3

P-Q = 1-2 =-1

R= 3-1= 2 (so, we can add this Option)

verify option 3:

(1,3) = P+Q = 1+3=4

P-Q = 3-1 = 2

R= 4-2= 2 (so, we can add this Option)

verify option 4:

(1,4) = P+Q = 1+4=5

P-Q = 1-4 = 2

R= 5-2= 3 (so, we can't add this Option)

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We can Identify the Valid Equivalance values if the option c) 29,30,31 student clears the exam.

The values that the system or component being tested need to be able to accept are known as valid partitions. The "Valid Equivalence Partition" is the name given to this partition. The values that the component or system under test should reject are known as invalid partitions. The "Invalid Equivalence Partition" is the name of this partition.

For the purpose of the student passing the exam, the values of marks that they can obtain that are equal to or higher than the minimum required marks to pass the exam, which is 24 marks, are regarded real equivalency values. In this case, 29, 30, 31, and all mark values higher than 31 are valid equivalence values.

The appropriate selections are (c), 29, 30, and 31.

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Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798