Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?

Step-by-step explanation:

v = l w h

[tex]v = l \times w \times h[/tex]

3468 = l × 6 ×34

3468/204= 204l/204

17 = l

therefore the height is 17mm

The table that represents g(x) when f(x) = 3x - 4 and g(x) = f(2x) include the following: D. table D.

Based on the information provided above, we can logically deduce the following functions;

f(x) = 3x - 4

g(x) = f(2x)

g(x) = f(2x)

g(x) = 3 × (2x) - 4

g(x) = 6x - 4

By evaluating g(x) based on the given x-values in the tables (x = 1, 2, 3), we have the following:

g(1) = 6 × 1 - 4

g(1) = 6 - 4

g(1) = 2

g(2) = 6 × 2 - 4 '

g(2) = 12 - 4

g(2) = 8

g(3) = 6 × 3 - 4

g(3) = 18 - 4

g(3) = 14

Therefore, the correct table is given by:

x      g(x)

1         2

2         8

3         14

Read more on function here: https://brainly.com/question/29212509

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

<95141404393>

The solution of the inequality [tex]|x+3| - 2 \leq 0[/tex] is x = -1.

The correct answer is B.

To find the solution of the inequality [tex]|x+3| - 2 \leq 0[/tex], we need to solve it step by step.

Add 2 to both sides of the inequality:

[tex]|x + 3| \leq 2[/tex]

Break the inequality into two separate cases:

Case 1: [tex]x + 3 \geq 0-- > x\geq -3[/tex]

Case 2: [tex]x + 3 < 0 -- > x < -3[/tex]

Solve each case separately:

Case 1: [tex]x + 3\geq 0 -- > x\geq -3[/tex]

Since the absolute value of a non-negative number is always non-negative, the inequality becomes:

[tex]x + 3 \leq 2[/tex]

Subtract 3 from both sides:

[tex]x \leq -1[/tex]

Case 2: [tex]x + 3 < 0 -- > x < -3[/tex]

Multiply both sides by -1 (to remove the negative sign):

[tex]-x - 3 > 0[/tex]

Add 3 to both sides:

[tex]-x > 3[/tex]

Divide by -1 (and reverse the inequality sign because we're dividing by a negative number):

[tex]x < -3[/tex]

So, the solution to the inequality is [tex]-3 \leq x \leq -1[/tex].

Now, let's analyze the given options to determine which one represents a single solution in the solution set.

x = 0: This does not satisfy the inequality [tex]-3 \leq x \leq -1[/tex], so it is not a solution.

x = -1: This value satisfies the inequality [tex]-3 \leq x \leq -1[/tex], so it is a solution.

x = 2: This does not satisfy the inequality [tex]-3 \leq x \leq -1[/tex], so it is not a solution.

x = 5: This does not satisfy the inequality [tex]-3 \leq x \leq -1[/tex], so it is not a solution.

Therefore, the only option that represents a single solution in the solution set of the inequality is x = -1.

The correct answer is B.

For such more questions on inequality

https://brainly.com/question/30238989

#SPJ8

Given the mathematical expression, it must be solved with the result [tex](\text{a} + \text{b})[/tex]

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

We are given the expression:

[tex]\dfrac{(\text{x} + 100)}{(\text{x} - 100)} = \dfrac{(\text{a} + \text{b} + 100)}{(\text{a} + \text{b} - 100)}[/tex]

The Denominators go to the other side of the equality by multiplying, so that we now have:

[tex](\text{x} + 100)(\text{a} + \text{b} - 100) = (\text{a} + \text{b} + 100)(\text{x} - 100)[/tex]

The products of the binomials are developed by the trinomials.

[tex]\text{ax} + \text{bx} - 100\text{x} + 100\text{a} + 100\text{b} - 10000 = \text{ax} + \text{bx} + 100\text{x} - 100\text{a} - 100\text{b} - 10000[/tex]

Like terms are removed.

[tex]100\text{a} + 100\text{b} - 100\text{x} = 100\text{x} - 100\text{a} - 100\text{b}[/tex]

[tex]100\text{a} + 100\text{b} - 100\text{x} - 100\text{x} + 100\text{a} + 100\text{b}[/tex]

[tex]200\text{a} + 200\text{b} - 200\text{x} =[/tex]

Grouping.

[tex]200(\text{a} + \text{b})[/tex]

Result.

[tex](\text{a} + \text{b})[/tex]

Hence, the solution to the mathematical expression is [tex](\text{a} + \text{b})[/tex]

To know more about mathematical expressions, visit:

https://brainly.com/question/30350742

The value of L is equal to 50.

In Mathematics and Geometry, a sequence refers to a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

Based on the pattern provided about the crosses, we can logically deduce that the middle term is a sum of all the outer four terms, and then multiplied by 2 as follows;

2 + 5 + 5 + 4 = 16 × 2 = 32

4 + 3 + 5 + 0 = 12 × 2 = 24

8 + 1 + 2 + 3 = 14 × 2=28

4 + 6 + 8 + 7 = 25 × 2 = 50

Therefore, L = 50.

Read more on sequence here: brainly.com/question/24989563

#SPJ1

Complete Question:

Look at the values ​​of the crosses and find the value of L.

Answer:

George will need 901 squared cm of paint to paint the outside of one basket.

Step-by-step explanation:

Thus, we can find the area of the other five faces and the sum of these areas will give us the surface area of the basket in squared cm.

Total area of the front, back, left, and right face:

Thus, we can find the area of one of these faces and later multiply it by 4 to find the total area these faces cover:

Note that the different dimensions indicates that these faces are rectangular and thus, we multiply 9 by 17 to find the area of one face:

A = 9 * 17

A = 153

Now we can multiply this area by 4 to find the total area covered by the back, front, left, and right faces:

4A = 4(153)

4A = 612

Thus, the basket's front, back, left, and right faces have a total area of 612 squared cm.

Area of the bottom face:

We see that the bottom face has the same dimensions as it is 17 cm by 17 cm.

Thus, it's a square and we can find its area by squaring 17:

A = 17^2

A = 289

Total area of the basket:

Now we can find how much paint George will need to paint the outside (i.e., the surface area represented by SA) by adding the total area of the front, back, left, and right faces and the bottom face:

SA = 612 + 289

SA = 901

Thus, George will need 901 squared cm of paint to paint the outside of one basket.

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

for such more question on Bryan invested

https://brainly.com/question/20690803

#SPJ8

To write a division expression with a quotient greater than 10 using only two of the numbers -10, 5, and 2, we can choose 5 and 2.

The expression can be:

5 / 2

When we divide 5 by 2, the quotient is 2.5. Since 2.5 is greater than 10, this division expression satisfies the given condition of having a quotient greater than 10.

In mathematical terms, the division expression 5 / 2 = 2.5 meets the criterion requested. Dividing 5 by 2 yields a quotient greater than 10, specifically 2.5.

It is important to note that when working with numbers, careful attention must be paid to the problem statement and the conditions provided. In this case, selecting 5 and 2 and dividing them correctly results in a quotient greater than 10.

for similar questions on Rationals-Quiz.

https://brainly.com/question/19181550

#SPJ8

The payback period for Project A is 3 years, and the payback period for Project B is also 3 years.

To calculate the payback period for Project A and Project B, we need to determine the time it takes for the cumulative cash flows to equal or exceed the initial investment of $40,000.

For Project A:

Year 1 cash flow: $42,000

Year 2 cash flow: $22,000

Year 3 cash flow: $10,000

To find the payback period, we start by subtracting the cash flows from the initial investment until we reach a cumulative cash flow equal to or greater than $40,000:

Year 1: $40,000 - $42,000 = -$2,000

Year 2: -$2,000 + $22,000 = $20,000

Year 3: $20,000 + $10,000 = $30,000

The cumulative cash flow reaches $30,000 in Year 3. However, it does not exceed the initial investment of $40,000. Therefore, we can estimate the payback period as follows:

Payback period for Project A = 2 years + ($40,000 - $30,000) / $10,000

= 2 years + 1 year

= 3 years

For Project B:

Year 1 cash flow: $40,000

Year 2 cash flow: $21,000

Year 3 cash flow: $15,000

Using the same process as above, we calculate the cumulative cash flows:

Year 1: $40,000 - $40,000 = $0

Year 2: $0 + $21,000 = $21,000

Year 3: $21,000 + $15,000 = $36,000

The cumulative cash flow reaches $36,000 in Year 3, which is greater than the initial investment. Therefore, the payback period for Project B is:

Payback period for Project B = 3 years

For more such questions on payback period visit;

https://brainly.com/question/23149718

#SPJ8

Sean to guarantee a B in the course, he needs to score at least 97 on the fourth and last 100-point test.

To determine the range of scores on the fourth test that will guarantee a B in the course, we can set up an equation using the average score formula.

The average score across the four exams should be at least 84.

Since Sean has already taken three exams with scores of 89, 71, and 79, respectively, we can set up the equation as follows:

[tex]\frac{(89 + 71 + 79 + x) }{4} \geq 84[/tex]

Here, x represents the score on the fourth test.

We need to solve this inequality to find the range of scores that will guarantee a B.

Let's simplify the equation and solve for x:

[tex]\frac{(239 + x) }{4} \geq 84[/tex]

Multiply both sides of the inequality by 4 to eliminate the fraction:

[tex]239 + x \geq 336[/tex]

Subtract 239 from both sides:

[tex]x \geq 336 - 239[/tex]

[tex]x \geq 97[/tex]

Therefore, for Sean to guarantee a B in the course, he needs to score at least 97 on the fourth and last 100-point test.

Any score equal to or greater than 97 will ensure an average of at least 84 across all four exams.

For such more questions on score

https://brainly.com/question/29220030

#SPJ8

Based on the given information, we can determine the number of pupils who like only Science and only Mathematics.

1. The number of learners who like both Mathematics and Science is 4.

2. The number of learners who like Science is 21, including those who like both Science and Mathematics.

3. The number of learners who like neither Science nor Mathematics is 8.

4. To find the number of pupils who like only Science, we subtract the number of learners who like both from the total number of Science likers: 21 - 4 = 17. Therefore, there are 17 pupils who like only Science.

Similarly, to find the number of pupils who like only Mathematics, we subtract the number of learners who like both from the total number of Mathematics likers. Since the number of learners who like only Mathematics is not given explicitly, we cannot determine it based on the given information.

To illustrate this information on a Venn diagram, we would draw two overlapping circles representing Mathematics and Science. The area where the circles overlap would represent the learners who like both subjects (4).

The remaining portion of the Science circle outside the overlap would represent the learners who like only Science (17). The portion of the Mathematics circle outside the overlap would represent the learners who like only Mathematics (unknown). The learners who like neither subject would be represented outside both circles.

For more such answers on Venn diagram

https://brainly.com/question/30599101

#SPJ8

The sum of the infinite geometric series representing the population of the local species of flies is given by the sigma notation ∑ (from n = 1 to ∞) 940 * (1/5)^(n-1). The series converges, and the sum, which represents the upper limit of the population, is 1175.

To write the sum in sigma notation, let's break down the given information step by step:

The first term of the infinite geometric series is a1 = 940.

The common ratio (r) is one fifth (1/5), which means each term is obtained by multiplying the previous term by 1/5.

In sigma notation, the sum of an infinite geometric series can be expressed as follows:

∑ (from n = 1 to ∞) a1 * r^(n-1)

In this case, the first term a1 is 940, and the common ratio r is 1/5. Therefore, the sigma notation for the sum of this series is:

∑ (from n = 1 to ∞) 940 * (1/5)^(n-1)

To calculate the upper limit of this population, we need to find the sum of the series. However, to determine if the sum is possible, we can check if the series converges or diverges.

For a geometric series to converge, the absolute value of the common ratio (|r|) must be less than 1. In this case, |1/5| = 1/5, which is less than 1. Therefore, the series converges.

The sum of an infinite convergent geometric series can be calculated using the formula:

S = a1 / (1 - r)

In our case, a1 = 940 and r = 1/5. Substituting these values into the formula, we can calculate the sum:

S = 940 / (1 - 1/5)

S = 940 / (4/5)

S = 940 * (5/4)

S = 1175

So, the upper limit of the population is 1175.

For more such question on geometric. visit :

https://brainly.com/question/24375372

#SPJ8

The sample space of a spinner refers to the set of all possible outcomes that can occur when the spinner is spun. In order to determine the sample space, we need to consider the different sections or options on the spinner.

For example, if the spinner has 4 equal sections, each labeled with a different color (red, blue, green, and yellow), then the sample space would consist of these 4 possible outcomes: {red, blue, green, yellow}.
Alternatively, if the spinner has 6 sections with numbers 1 to 6, then the sample space would be {1, 2, 3, 4, 5, 6}.
In general, the sample space of a spinner depends on the number and nature of its sections. It can include colors, numbers, or any other distinct options available on the spinner.

In summary, the sample space of a spinner is the set of all possible outcomes, which can vary depending on the specific design and labeling of the spinner.

For more similar questions on sample space

brainly.com/question/2117233

#SPJ8

The correct pairs of the given rational numbers with the points on the number line are:A - 7/4B - 5/4C - 1/2D - 1E - 13/8

To form the correct pairs of the given rational numbers with the points on the number line, the given points on the number line and their corresponding rational numbers are:A at 1.75, which is the same as 7/4B at 1.25, which is the same as 5/4C at 0.5, which is the same as 1/2D at 1, which is the same as 1E at 1.625, which is the same as 13/8Let's take a look at the number line:|-2---|---|---|---|---2...-1   0   1   2

We can see that point C is exactly at the center of the number line, at 0.5. This is the same as the rational number 1/2.Point D is located at 1 on the number line, which is the same as the rational number 1.Point A is located between 1 and 2 on the number line, closer to 2. The exact location is 1.75, which is the same as the rational number 7/4.Point B is located between 1 and 1.5 on the number line, closer to 1.5. The exact location is 1.25, which is the same as the rational number 5/4.Point E is located between 1.5 and 2 on the number line, closer to 1.5. The exact location is 1.625, which is the same as the rational number 13/8.

for more search question rational

https://brainly.com/question/19079438

#SPJ8

Based on the calculations, option D, which is $5,000 at 2 percent interest compounded for four years, will result in the least amount of interest paid.

To determine which loan will result in the least amount of interest paid, we need to calculate the total interest for each option and compare them. Let's calculate the interest for each loan:

A. $10,000 at 2 percent interest compounded for four years:

To calculate the compound interest, we use the formula A = P(1 + r/n)^(nt), where A is the future value, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

For option A, the future value (A) can be calculated as:

A = 10,000(1 + 0.02/1)^(1*4) ≈ 10,816.65

The interest paid would be the difference between the future value and the principal:

Interest = 10,816.65 - 10,000 = 816.65

B. $10,000 at 2 percent simple interest for four years:

For simple interest, we use the formula I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the number of years.

For option B:

Interest = 10,000 * 0.02 * 4 = 800

C. $5,000 at 4 percent interest compounded for four years:

Using the compound interest formula:

A = 5,000(1 + 0.04/1)^(1*4) ≈ 5,897.77

Interest = 5,897.77 - 5,000 = 897.77

D. $5,000 at 2 percent interest compounded for four years:

Using the compound interest formula:

A = 5,000(1 + 0.02/1)^(1*4) ≈ 5,407.10

Interest = 5,407.10 - 5,000 = 407.10

Comparing the total interest paid for each option:

A: $816.65

B: $800

C: $897.77

D: $407.10

for such more question on least amount

https://brainly.com/question/20813161

#SPJ8

Answer:

ST ≈ 15.3

Step-by-step explanation:

given a tangent and a secant from an external point to the circle , then

the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is

ST² = TU × TV = 9 × (9 + 17) = 9 × 26 = 234

take the square root of both sides

ST = [tex]\sqrt{234}[/tex] ≈ 15.3 ( to the nearest tenth )

The correct statement about the distribution in this problem is given as follows:

The distribution is unimodal.

The mode of a data-set is the observation that appears the most times in the data-set.

Considering the stem-and-leaf plot, we have that the observations have the following format:

7|6 = 76.

As 6 is the only observation that appears twice, it is the only mode of the distribution, meaning that the distribution is unimodal.

More can be learned about the mode of a data-set at brainly.com/question/27358262

#SPJ1

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

Read more about two column proof at; brainly.com/question/1788884

#SPJ1

The equation that best represents the relationship between x and y is:

y = -1/2x + 11

To determine the equation that best represents the relationship between the quantities x and y, we can examine the pattern in the table.

Looking at the x-values and their corresponding y-values, we can observe that as x increases by 2 units, y decreases by 1 unit.

Using this pattern, we can find the equation that represents the relationship.

When x = 2, y = 10

When x = 4, y = 9

When x = 6, y = 8

When x = 8, y = 7

Based on the pattern, we can see that y decreases by 1 unit for every 2 units increase in x.

Therefore, the equation that best represents the relationship is:

y = -1/2x + b

To find the value of b (the y-intercept), we can substitute the values of x and y from any point in the table. Let's use the first point (x = 2, y = 10):

10 = -1/2(2) + b

10 = -1 + b

b = 11

So the equation that best represents the relationship between x and y is:

y = -1/2x + 11

Therefore, the correct answer is: y = -1/2x + 11.

For such more questions on equation

https://brainly.com/question/24907633

#SPJ8

The measure of the arc AWJ between the tangent AT and chord AJ is equal to 226°

The angle m∠JAT between the intersection of the chord and a tangent is equal to the arc measure of arc AWJ divided by 2

Given the measure of the angle m∠JAT to be equal to 113°, then the measure of arc AWJ is calculated as:

angle JAT = 108°/2

m∠JAT = arc AWJ/2

113° = arc AWJ/2

arc AWJ = 2 × 113°

arc AWJ = 226°

Therefore, the measure of the arc AWJ between the tangent AT and chord AJ is equal to 226°

Read more about tangent here:https://brainly.com/question/4470346

#SPJ1

The students need to sell 25 tickets to reach their fundraising goal. This solution ensures that they will have a total of 42 tickets, including the initial 17 they had.

A group of students is organizing a fundraiser and they want to sell a certain number of tickets to reach their goal. The equation "? + 17 = 42" or "17 + ? = 42" can represent the number of tickets they need to sell. In this context, the variable "?" represents the unknown number of tickets.

To solve the problem, we need to find the value of "?" that satisfies the equation. By subtracting 17 from both sides of the equation "? + 17 = 42," we can determine that "?" is equal to 25.

Similarly, by subtracting 17 from both sides of the equation "17 + ? = 42," we also find that "?" equals 25.

We get:? = 42 - 17? = 25So, the solution of ? + 17 = 42 is ? = 25.17 + ? = 42Subtract 17 from both sides to isolate the variable. We get:? = 42 - 17? = 25So, the solution of 17 + ? = 42 is ? = 25.

For more such questions on fundraising,click on

https://brainly.com/question/2595198

#SPJ8

Hello!

distance = speed * time

distance

= 40km/h * 1.5h

= 60km

She travel 60km.

Answer:

60 km

Step-by-step explanation:

In order to find the distance that Anna has travelled, we can derive the formula from the speed formula which is:

[tex]\displaystyle{v=\dfrac{s}{t}}[/tex]

where v is speed, s is distance and t is time. So by solving for distance (s), we have:

[tex]\displaystyle{s=vt}[/tex]

Apply the distance travelled formula, we know that speed (v) = 40 km/h and time (t) = 1.5 hours. Thus,

[tex]\displaystyle{s=40 \ \text{km/h} \cdot 1.5 \text{h}}\\\\\displaystyle{s=60\ \text{km}}[/tex]

Therefore, Anna travels 60 kilometers.

Check the picture below.

Answer:

The domain of a function is the set of all values for which the function is defined. When determining the domain of a function, we need to identify any values that would make the function undefined or result in an error. For instance, in the function f(x) = 1/x, the denominator cannot be zero since division by zero is undefined. Thus, the domain of f(x) would be all real numbers except 0, since substituting 0 for x would result in an undefined expression. The following are some guidelines that can help determine the domain of a function:

1. Check for values that would make the function undefined or result in an error. This includes dividing by zero, taking the square root of a negative number, and taking the logarithm of a non-positive number.

2. Identify any restrictions on the variable or inputs. For instance, if the function represents a physical problem, there may be restrictions on the input values based on the conditions of the problem.

3. Check for any implicit assumptions or requirements in the problem. This could include assumptions about the sign of variables or the existence of certain values.

4. Determine the set of all real numbers that satisfy the above conditions as the domain of the function.

I hope this helps you understand how to determine the domain of a function defined by an equation.

The property that allows you to write the expression (3+7^) + (8-6^) + (3+7^) is the Commutative Property of Addition and the Commutative Property of Exponents.

The Commutative Property of Addition states that when two or more numbers are added, the sum remains the same even if the order of the numbers is changed. For example, a + b = b + a. Therefore, in the given expression, we can add the terms in any order we want, without changing the result. So, we can add (3 + 8 + 3) and (7^ + 6^ + 7^) in any order we want.

Applying the Commutative Property of Addition, we can write the expression as (3+8+3) + (7^+6^+7^).
Then, applying the Commutative Property of Exponents, we can write the expression as (3+8+3) + (7^+7^+6^).
Simplifying further, we get (14) + (2 * 7^) + (6^).

For more such questions on Commutative

https://brainly.com/question/5061656

#SPJ8

The values of the compound probabilities are

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

The cubes

Where we have

Blue = 2

Green = 3

Red = 4

Yellow = 6

Givn the the cubes are not replaced after they are chosen, we have

P(Blue then Red) = 2/15 * 4/14

P(Blue then Red) = 4/105 = 3.81%

Next, we have

P(Red then Green) = 4/15 * 3/14

P(Red then Green) = 2/35 = 5.71%

P(Green then Green) = 3/15 * 2/14

P(Green then Green) = 1/35 = 2.85%

P(Yellow then Yellow) = 6/15 * 5/14

P(Yellow then Yellow) = 1/7 = 14.29%

P(Red then Red then Red) = 4/15 * 3/14 * 2/13

P(Red then Red then Red) = 4/455 = 0.88%

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

Step-by-step explanation:

You want the values of x and z in the figure where one pair of parallel lines crosses another.

Where a transversal crosses parallel lines, corresponding angles are congruent. This gives rise to several other relationships, each with its own name. The net result is that all acute angles are congruent, and all obtuse angles are congruent. The acute and obtuse angles are supplementary. (If the crossing is at right angles, then all angles are congruent.)

Here, the angle marked x° is supplementary to the one marked 77°:

  x = 180 -77 = 103

The angle marked (3z -19)° is congruent to the one marked 77°:

  3z -19 = 77

  3z = 96 . . . . . . add 19

  z = 32 . . . . . . . divide by 3

The value of x is 103; the value of z is 32.

__

Additional comment

The various pairs of angles at a transversal can be described as "consecutive", "alternate", "interior", "exterior", "same-side". Of course, where lines cross, the angles can also be "vertical" or "opposite" or "adjacent" or a "linear pair."

Depending on the relationship, the angles will be congruent or supplementary. For example, "alternate exterior angles" are congruent; "consecutive interior angles" are supplementary.

<95141404393>

when the tablet runs for x hours, the battery remaining percentage can be calculated as y = -5x + 50.

The given graph represents the percent of battery remaining, y, on a tablet's battery after x hours. The tablet starts with 50 percent of battery remaining. The tablet loses 5 percent of battery every hour.From the graph, it is observed that the line passes through the point (0,50) and (10,0) as the maximum battery life is for 10 hours. The slope of the line can be calculated as: Slope = Rise/Run Slope = (Change in y)/(Change in x) Slope = (0 - 50)/(10 - 0) Slope = -5The slope of the line represents the rate of change of battery percentage per hour. Thus, the given information can be concluded as: The tablet loses 5% of battery every hour. Therefore, the equation of the line can be written in the form of y = mx + b where m is the slope of the line and b is the y-intercept. Hence, y = -5x + 50This equation represents the battery remaining percentage, y, as a function of time, x in hours.

for more search question percentage

https://brainly.com/question/843074

#SPJ8