please help w ccorrect answer !! I'll mark brainliest ​

Please Help W Ccorrect Answer !! I'll Mark Brainliest

Answers

Answer 1

Answer:

x = 146°

Step-by-step explanation:

The 34° angle and the angle marked x are same side interior angles. They are supplementary which means the angles should add up to 180°

34 + x = 180

Subtract 34.

x = 146


Related Questions

circumference and area of a circle
help me please ​

circumference and area of a circle help me please

Answers

A.) The circumference of the tire is 94.2

B.) The tire will have to rotate 56 times to
travel 1 mile.

2. What's the Secret? The top of FIGURE 26-57 □ shows the words SECRET CODE written in different colors. If you place a cylindrical rod of glass or plastic just above the words, you find that SECRET appears inverted, but CODE does not. Explain.

Answers

The reason why SECRET appears inverted, but CODE does not when a cylindrical rod of glass or plastic is placed just above the words SECRET CODE written in different colors, is because of the property of refraction of light.

Light bends as it passes from one medium to another with different refractive indices. When the light passes through a medium of different refractive index, it bends in the direction of the normal if the new medium is denser than the previous one or away from the normal if the new medium is less dense than the previous one. A cylindrical rod of glass or plastic has a refractive index greater than that of the air. Therefore, light bends as it passes from air to the cylindrical rod and again from the rod to the air. The refraction of light through the cylindrical rod causes the light rays from each letter to change direction, which makes them appear inverted.The cylindrical rod acts as a lens that refracts the light in such a way that it forms an inverted image of the letters on the other side of the rod. The letters in SECRET CODE written in different colors are viewed in a horizontal line, which makes them appear inverted when viewed through a cylindrical rod. The curved shape of the rod bends light rays at different angles depending on their position relative to the center of the rod. This causes the image to appear distorted and inverted. Since the letters in the word CODE are below the letters in the word SECRET, the light rays do not bend enough to invert the image of the word CODE. Therefore, the word CODE appears normal when viewed through the cylindrical rod.

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The sum of the cube of a number and the product of the number and 7 is equal to eight times the square of the number​

Answers

Answer:

Step-by-step explanation:

Use notation x for the unknown variable:

Let the unknown number be x

Translate from words to math :

The sum of (add two things)

the cube of a number () and (+)  the product (·) of the number (x) and 7

is equal to (=)  eight times() the square of the number​()

Write the mathematical equation:

x³+(x·7) = 8x²

Solve the equation to find x:

x³+7x = 8x², subtract 8x² from both sides

x³- 8x²+7x = 0, factor x

x(x²-8x+7) = 0, factor the quadratic equation (what 2 numbers have the sum 8, and product 7... numbers 1 and 7)

x(x-1)(x-7) = 0, find the roots (the solutions)

x= 0, x= 1, x= 7

Solution:

The equation given by the word problem is x³+7x = 8x²

The unknown number x, could be 0, 1, or 7

Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

Answers

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Find the volume of the figure below:

Please help I was on break and I didn’t do my hw!

Find the volume of the figure below:Please help I was on break and I didnt do my hw!

Answers

Answer:

12yd

Step-by-step explanation:

Volume of a triangular prism:

base x height x length x .5

fill in

2 x 3 x 4 x .5

multiply

12

find the value of z such that 0.1 of the area lies to the right of z. round your answer to two decimal places.

Answers

The value of z is approximately 1.28 (rounded to two decimal places).

To find the value of z such that 0.1 of the area lies to the right of z, we need to determine the z-value corresponding to the 90th percentile of the standard normal distribution. This can be achieved using a standard normal distribution table or statistical software.

In detail, the standard normal distribution has a mean of 0 and a standard deviation of 1. The area under the curve is standardized, allowing us to use z-scores to find percentiles. Since we want to find the z-value corresponding to the 90th percentile, we are looking for the value that leaves 10% of the area to the right. Using a standard normal distribution table or statistical software, we find that the z-value corresponding to the 90th percentile is approximately 1.28. Therefore, the value of z is approximately 1.28.

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1.
Work
8m + 5 = 6m + 17
Reason
Given Statement

Answers

Answer:

m = 6

Step-by-step explanation:

Step-by-step explanation:

8m + 5 = 6m + 17

subtract 6m on both sides

2m +5 = 17

subtract 5 on both sides

2m = 12

divide 2 on both sides

m = 6


PLSSS HELPPPPPP PLSSSS

PLSSS HELPPPPPP PLSSSS

Answers

Answer:

Morgan, its a straight line and it goes through the origin

Step-by-step explanation:

There are 4 red marbles, 2 blue marbles, and 6 green marbles in a bag. What is P(red)?

Answers

Answer:

well 1/3 is red

Step-by-step explanation:


if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)

if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of gf (-2)

Answers

Answer:

The value of \(gof (-2)=79\)

Step-by-step explanation:

We have

\(f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15\)

Now we need to find

\(gof (-2)=g(15)\)

\(g(15) =5\times15+4\\\\=79\)

suppose you sell sandwiches at a deli store. review of your sales transactions reveals that 73.5% of your customers will choose turkey breast sandwiches and the rest will choose some other sandwich. (round all answers to 4 decimal places) if five people are randomly selected, what is the probability that all will order a turkey breast sandwich? if five people are randomly selected, what is the probability that none will order a turkey breast sandwich? if five people are randomly selected, what is the probability that at least one customer will order a turkey breast sandwich?

Answers

Using the binomial distribution, the probabilities are given as follows:

All: 0.2145 = 21.45%.None: 0.0013 = 0.13%.At least one: 0.9987 = 99.87%.

What is the binomial distribution formula?

The probability mass function for the binomial distribution is presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters of the distribution are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

In the context of this problem, the values of these parameters are:

n = 5, p = 0.735.

The probability of all people ordering the breast sandwich is:

P(X = 5) = 0.735^5 = 0.2145 = 21.45%.

The probability of no people ordering the breast sandwich is:

P(X = 0) = (1 - 0.735)^5 = 0.0013 = 0.13%.

The probability of at least one person ordering the breast sandwich is:

P(X >= 1) = 1 - 0.0013 = 0.9987 = 99.87%.

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A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel—emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the JMP output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2 3 4 A 17 25 31 14 14 24 35 13 B 15 22 28 9 12 19 31 10 C 21 29 32 15 24 28 37 19 Least Squares Means Estimates Panel Estimate Condition Estimate A 21. 500000 1 17. 166670 B 18. 375000 2 24. 666670 C 25. 625000 3 32. 166670 4 13. 333300 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 11 1,480. 3333 134. 576 30. 4700 Error 12 53. 2000 4. 417 Prob > F C. Total 23 1,533. 3333 <. 0001* Effect Tests Source Nparm DF Sum of Squares F Ratio Prob > F Panel 2 2 211. 5833 23. 9528 <. 0001* Condition 3 3 1,253. 0000 94. 5660 <. 0001* Panel* Condition 6 6 15. 7500 0. 5943 0. 7298 Tukey HSD All Pairwise Comparisons Quantile = 2. 66776, Adjusted DF = 12. 0, Adjustment = Tukey Panel -Panel Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% A B 3. 12500 1. 050793 2. 97 0. 0290* 0. 3217 5. 92826 A C −4. 12500 1. 050793 −3. 93 0. 0053* −6. 9283 −1. 32174 B C −7. 25000 1. 050793 −6. 90 <. 0001* −10. 0533 −4. 44674 Tukey HSD All Pairwise Comparisons Quantile = 2. 9688, Adjusted DF = 12. 0, Adjustment = Tukey Condition -Condition Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% 1 2 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 1 3 −15. 2000 1. 213352 −12. 36 <. 0001* −18. 6022 −11. 3978 1 4 3. 8333 1. 213352 3. 16 0. 0359* 0. 2311 7. 4355 2 3 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 2 4 11. 3333 1. 213352 9. 34 <. 0001* 7. 7311 14. 9355 3 4 18. 8333 1. 213352 15. 52 <. 0001* 15. 2311 22. 4355 Click here for the Excel Data File.

a. Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places. )

Answers

Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.

According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.

To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:

Margin of Error = Critical Value * Standard Error

In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.

Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.

The standard error can be calculated using the formula:

Standard Error = Standard Deviation / √(sample size)

The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.

In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

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Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:

A. There are an infinite number of solutions.


B. There is no solution.


C. (1, 3)


D. (2, 3)


E. (3, 2)

Help please its urgentBased on this graph, what is the solution to the system of equations?Answers:A.

Answers

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

4-2(3x + 1) = 32
Help pls an show work

Answers

the answer is 11123475

Step-by-step explanation:

1+1=1

first distribute the -2 to the numbers inside the quotation marks.

so -2x3=-6 and -2x1=-2

now it’s simplified to 4-6x-2=32

then you combine like terms

the like terms in this are 4 and 2

subtract 4 and 2 to get 2

then you’d get 4+2=32

add 4 and 2 to get 6

subtract 32-6 to get 26

hope this helps

One $1,000 loan charges 5% interest at the end of each year, while a second loan charges 8% interest at the end of each year. Complete the table with the balances for each loan. Assume that no payments are made and that the interest applies to the entire loan balance, including any previous interest charges.One $1,000 loan charges 5% interest at the end of each year, while a second loan charges 8% interest at the end of each year. Complete the table with the balances for each loan. Assume that no payments are made and that the interest applies to the entire loan balance, including any previous interest charges.

Answers

Answer:

it might be 125 cuz it takes 10 100'to make 1000

Regan has already baked 18 cakes, and she can bake 1 cake with each additional stick of
butter she buys. With 28 additional sticks of butter, how many total cakes can Regan bake?

Answers

Answer:

46

Step-by-step explanation:

She has baked 18 cakes already

She buys 28 additonal sticks of butter, it takes one stick of butter to make a cake. 28 sticks of butter = 28 additonal cakes

 18 cakes- baked

+  

28 - cake can be baked with the 28 addtional sticks of utter

46 total cakes can be baked.

I NEED THIS PLEASE EXPERS.

I NEED THIS PLEASE EXPERS.

Answers

Answer: The answer is 24 :)

Give brainlest if I’m right

Answer:

The answer I think it will be 24 but not sure.

Step-by-step explanation:


Draw the graph of linear equation 2x - 3y + 7 - 0) and hence find the coordinates of the point when the
line intersects x axis.

Answers

Answer:

The line crosses the x-axis at the point (-3.5,0).

Draw the graph of linear equation 2x - 3y + 7 - 0) and hence find the coordinates of the point when theline

a herd of bison had a population of 122 in 2010. by 2015, the population had grown to 156. assuming the population of bison has grown linearly, which expression best models the population of the herd? let t represent the time in years since 2010

a herd of bison had a population of 122 in 2010. by 2015, the population had grown to 156. assuming the

Answers

The expression that best models the population of the herd is:

y = (34/5)x - 558, where y is the population of the herd, and x is the time in years since 2010.

To model the population of the bison herd as a linear function of time, we can use the slope-intercept form of a linear equation, which is y = mx + b, where y is the population of the herd, x is the time in years since 2010, m is the slope of the line, and b is the y-intercept of the line.

To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) is the point (2010, 122), and (x2, y2) is the point (2015, 156).

m = (156 - 122) / (2015 - 2010) = 34 / 5

So the slope of the line is 34/5.

To find the y-intercept of the line, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is the point (2010, 122), and m is the slope we just found.

y - 122 = (34/5)(x - 2010)

y - 122 = (34/5)x - 13668

y = (34/5)x - 13546

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How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? Cubes

Answers

Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

What is 2/5 of 15? help pls

Answers

What is 2/5 of 15?

Answer:

2/5 of 15 is 6.

Answer:

6

Step-by-step explanation:

The word of  in math refers to multiplication.

We can convert 15 to a fraction as well so we can use them together (15/1).

\(\frac{2}{5}\) x \(\frac{15}{1}\)

We can then work diagnolly and reduce the 5 and 15 since they are both divisible by 5- this is also known as the GCF or Greatest Common Factor

\(\frac{2}{1}\) x \(\frac{3}{1}\)

This is the same as 2 x 3 since both numbers divided by 1 are just themselves.

2x3 = 6

Four more than the square root of a number

Answers

Answer:

sqrt(4 + (3 x) ) = 7

4 + 3 x = 49

3 x = 45

x = 15


1. In a board game, students draw a number, do not replace it, and then draw a second number. Determine the probability of each event occurring.
2 1 6 2
9 6 6 1

a. An odd number, then drawing a 6
b. A 2, then drawing another 2
c. A number divisible by 3, then drawing a 1 d. A 1, then drawing a 6
e. A prime number, then drawing a composite number
f. A 9, then drawing another 9
g. A 9, then drawing a number divisible by 1 h. An even number, then drawing 1 ​

Answers

a. The probability of an odd number, then drawing a 6 is 3/16

b. The probability of a 2, then drawing another 2 is 1/12

c. The probability of a number divisible by 3, then drawing a 1 is 1/8

d. The probability of a 1, then drawing a 6 is 1/24

e. The probability of a prime number, then drawing a composite number is 1/8

f. The probability of drawing another 9 is 1/24

g. The probability of drawing a 9, then drawing a number divisible by 1 is 1/14

h. The probability of this event occurring is 3/56.

Given board game numbers:

2 1 6 2

9 6 6 1

We can find the probability of each event by using the following formula:

P(A and B) = P(A) × P(B|A)

where P(A) is the probability of event A occurring, and P(B|A) is the conditional probability of event B occurring given that event A has occurred.

a. An odd number, then drawing a 6:

P(Odd number) = 3/8 (since there are 3 odd numbers out of 8 total numbers)

P(Drawing a 6 given an odd number) = 1/2 (since only 2 and 6 are left after drawing the odd number)

P(Odd number and drawing a 6) = P(Odd number) × P(Drawing a 6 given an odd number) = (3/8) × (1/2) = 3/16

b. A 2, then drawing another 2:

P(Drawing a 2) = 2/8 = 1/4

P(Drawing another 2 given the first draw was 2) = 1/3 (since only two 2's are left after the first draw)

P(Drawing 2 and then another 2) = P(Drawing a 2) × P(Drawing another 2 given the first draw was 2) = (1/4) × (1/3) = 1/12

c. A number divisible by 3, then drawing a 1:

P(Number divisible by 3) = 2/8 = 1/4

P(Drawing a 1 given a number divisible by 3) = 1/2 (since only 1 and 6 are left after drawing a number divisible by 3)

P(Number divisible by 3 and drawing a 1) = P(Number divisible by 3) × P(Drawing a 1 given a number divisible by 3) = (1/4) × (1/2) = 1/8

d. A 1, then drawing a 6:

P(Drawing a 1) = 1/8

P(Drawing a 6 given the first draw was 1) = 1/3 (since only two 6's are left after the first draw)

P(Drawing a 1 and then a 6) = P(Drawing a 1) × P(Drawing a 6 given the first draw was 1) = (1/8) × (1/3) = 1/24

e. A prime number, then drawing a composite number:

P(Prime number) = 2/8 = 1/4

P(Drawing a composite number given the first draw was prime) = 3/6 (since there are three composite numbers left after drawing a prime number)

P(Prime number and then a composite number) = P(Prime number) × P(Drawing a composite number given the first draw was prime) = (1/4) × (3/6) = 1/8

f. A 9, then drawing another 9:

P(Drawing a 9) = 1/8

P(Drawing another 9 given the first draw was 9) = 1/3 (since only two 9's are left after the first draw)

P(Drawing a 9 and then another 9) = P(Drawing a 9) × P(Drawing another 9 given the first draw was 9) = (1/8) × (1/3) = 1/24

g. The probability of drawing a 9 on the first draw is 1/8, as there is only one 9 out of eight numbers in the set.

Given that a 9 was drawn on the first draw, the probability of drawing a number divisible by 1 on the second draw is 4/7, since there are four numbers (2, 1, 6, and 9) that are divisible by 1 out of the seven remaining numbers in the set.

Therefore, the probability of drawing a 9 on the first draw and a number divisible by 1 on the second draw is:

P(9, divisible by 1) = P(9) * P(divisible by 1 | 9 was drawn)

= (1/8) * (4/7)

= 1/14

h. An even number, then drawing a 1

To find the probability of drawing an even number first and then drawing a 1, we need to consider the following events:

Drawing an even number: There are three even numbers in the set {2, 1, 6, 2, 9, 6, 6, 1}, so the probability of drawing an even number is 3/8.

Drawing a 1: There is only one 1 in the remaining set of seven numbers after the first draw, so the probability of drawing a 1 after drawing an even number is 1/7.

Therefore, the probability of drawing an even number first and then drawing a 1 is:

P(even number, then 1) = P(even number) × P(1 after even number)

= (3/8) × (1/7)

= 3/56

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can someone please help

can someone please help

Answers

Answer:

option (B).

Step-by-step explanation:

it's really simple....

just replace the (n) near the 3 with 1,2,3,4,5 and 6 and then solve the maths and when you're done , you add the answers all up.

sooo...

3(1)-2 = 1

3(2)-2 = 4

3(3)-2 = 7

3(4)-2 = 10

3(5)-2 = 13

3(6)-2 = 16

now we add them all up...

1+4+7+10+13+16 = 51.

Hope this helps.

Good luck.

Graph the equation. y= -2(x-1)^2-4

Answers

A graph of the given equation (y= -2(x - 1)² - 4) is shown in the image attached below.

What is an equation?

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

The types of graph.

In Science, there are different types of graph and these include the following:

Scatter plotDot graphLine graphBar graphPie chartHistogram

In this scenario, we can reasonably infer and logically deduce that the graph of the given equation is a parabolic because it represents or indicates a quadratic equation.

In conclusion, a graph which represents or indicates the given quadratic equation (y= -2(x - 1)² - 4) is shown in the image attached below.

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Graph the equation. y= -2(x-1)^2-4

Factor out the GCF from the polynomial.

3x³y² - 9xz4 + 8y²z

Answers

The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

What is (GCF) greatest common factor?

The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.

we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:

3x³y² = y² × 3x³

8y²z = y² × 8z

both terms 3x³y² and 8y²z have y² common to them, so we can write;

3x³y² + 8y²z = y² × 3x³ + y² × 8z

3x³y² + 8y²z = y²(3x³ + 8z)

In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

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A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number

Answers

Answer: 11

Step-by-step explanation:

By the Pythagorean theorem, x is about 11 cm.

A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius

how do you do 4/5 - 2/3 show a picture ANSWER THIS QUICKLY!!!!!!!!!!
please answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Therefore , the solution of the given problem of fraction comes out to be 4/5 - 2/3 equals 2/15.

What is a fraction?

Any arrangement of portions or pieces of similar sizes can symbolize a whole. Standard English refers to quantity as "a fraction" in a specified measure. 8, 3/4. Wholes also include fractions. The ratio of the divisor compared to the ratio is used in mathematics to represent numbers. These are all illustrations of fundamental fractions that split by whole numbers.

Here,

You must identify a common denominator for the two fractions in order to subtract fractions with distinct denominators.

Finding the least common multiple (LCM), which is 15 for the denominators 5 and 3, is one approach to accomplishing this.

After that, you can change both numbers so that their numerator is 15:

=> 4/5 = (4/5) x (3/3) = 12/15

=> 2/3 = (2/3) x (5/5) = 10/15

Since both fractions now have the same denominator, you can simplify the sum by removing their numerators:

=> 12/15 - 10/15 = 2/15

Because of this, 4/5 - 2/3 equals 2/15.

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Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What would be a more appropriate domain for Jada to use instead?

Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle

Answers

Answer:

A more appropriate domain would be all real numbers except x = 5.5

Step-by-step explanation:

Given that the domain of a rational function consists of the set of real numbers but excluding those real numbers that results in a zero in the denominator

The given graph of the function has a vertical asymptote at s = 5.5 which indicates a value for which the function is not defined and at x = 5.5, and as such the value (5.5) of the asymptote is not a member of the function's domain

The values of the domain of a function consisting of a reciprocal must exclude does that result in a zero denominator.

The domain of the function that represents Jada's trip is the set of input value the function can take

The appropriate domain is: all real numbers except x = 5.5

From the graph, we can see that:

The x-value starts at negative infinity, and ends near 5.5The x-value then continues near 5.5, and ends at positive infinity

This means that the input of the graph cannot be 5.5

Hence, an appropriate domain would be: \(\mathbf{x \ne 5.5}\)

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use a centimeter ruler to find 1 divided by 1/10 and 4 divided by 1/10

Answers

The values are 10 and 40.

What is fractiοn?

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given expression is,

1) 1 ÷ \(\frac{1}{10}\)

=> \(\frac{1}{\frac{1}{10}}\)

=> \(1\times10\)

=> 10.

2)  4 ÷ \(\frac{1}{10}\)

=> \(\frac{4}{\frac{1}{10}}\)

=> \(4\times10\)

=> 40.

Hence the answers are 10 and 40.

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