a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?

Answer: 11

Step-by-step explanation:

By the trapezoid midsegment theorem, x = (9+13)/2 = 11

Answer:

which class of this exam

Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.

Let v be the number of visits Tristan makes to the movie theater.

He receives 25 rewards points just for signing up, and he earns 8.5 points for each visit. So, the total rewards points he will have is

25+8.5v.

He needs at least 110 points for a free movie ticket. Therefore, we can write the inequality:

25+8.5v≥110

To solve for v, we can subtract 25 from both sides of the inequality and then divide by 8.5:

8.5v≥85

v≥85/8.5

v≥10

So, Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.

To know more about inequality:

https://brainly.com/question/20383699

#SPJ3

Step-by-step explanation:

[tex] = 49[/tex]

[tex] = 7 \times 7[/tex]

[tex] = {7}^{1 + 1} [/tex]

[tex] = {7}^{2} [/tex]

Answer:

y=5/3x+4

Step-by-step explanation:

Slope intercept formula: y=mx+b

m=slope

b=Y-Intercept

Answer:

[tex]\sf y=\dfrac{5}{3}x+4[/tex]

Step-by-step explanation:

Given:

[tex]\textsf{slope of $\dfrac{5}{3}$, and a y-intercept of $4$}[/tex]

⇒ Slope-Intercept Form: y = mx + b

where:

Substitute the given values:

[tex]\sf\\ \implies y=mx+b\\\\\implies y=\dfrac{5}{3}x+4[/tex]

Learn more here:

brainly.com/question/27803801

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

Answer:

c

Step-by-step explanation:

Answer:

38.8 litres

Step-by-step explanation:

22.6 + 18.7 = 41.3

41.3 - 2.5 = 38.8

38.8 litres

Answer:

38.8 liters.

Step-by-step explanation:

Word problems with addition and subtraction:

To find the quantity of water inside the bath tub, add the quantity of hot water and cold water. Then from this subtract the water that is spilled.

Quantity of water in the bathtub = 22.6 + 18.7 - 2.5

                                                      = 41.3 - 2.5

                                                      = 38.8 liters

The theoretical probability of getting two tails on two coin tosses is 0.25.

The theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes. Given a coin is tossed twice.

We have to find the theoretical probability of tossing two tails. The probability of getting tails on the toss of a coin is 1/2 0r 0.5.

Therefore, the probability of getting two tails on two coin tosses is 0.5 × 0.5 or 0.25.

The theoretical probability that a coin toss results in two heads showing is 0.25.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

The variation equation is xy = a^3

An inverse variation is represented as:

xy = k

Where k is the constant of variation

When y = a and x =a^2, we have:

k = a * a^2

Evaluate

k = a^3

Substitute k = a^3 in xy = k

xy = a^3

Hence, the equation is xy = a^3

Read more about variation at:

https://brainly.com/question/6499629

#SPJ1

Answer:

√10 + (-√10) = 0, and 0 is not irrational

^ this one

Answer: Yes.

Step-by-step explanation: No number in the map is paired to two different, distinct numbers.

Answer:

a=10w +50

Step-by-step explanation:

a= amount

w= weeks

please vote brainliest

Answer:

1:24pm

Step-by-step explanation:

Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)

So time spent:

Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes

Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes

Subtract 4:04 from 5:28 to get 1:24pm

Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm

Answer: 2

Step-by-step explanation:

The opposite of a negative number is the corresponding positive number.

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The roots of the polynomial are ​1, 2.7321, and -0.7321.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The roots of the polynomial are:

x³ - 3x² + 2

If we divide the polynomial by (x-1), then

(x³ - 3x² + 2)/(x-1) = x² - 2x - 2

now, factorize the given polynomial,

x² - 2x - 2

x = 1 ± √3

x = ​1, 2.7321, -0.7321

​Hence, the roots of the polynomial are ​1, 2.7321, and -0.7321.

Learn more about Polynomial:

https://brainly.com/question/17822016

#SPJ1

Answers:

Domain:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

Range:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]

That turns into the interval notation [tex](-\infty, \infty)[/tex]

The curved parenthesis are always used with either infinity because we cannot reach them.

--------------

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.

Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

Answer:

Step-by-step explanation:

f(x) = x^2 – 5x + 12

The value of f(–10) = 82?     NO

f(-10) = (-10)^2 – 5(-10) + 12

f(-10) = 100 + 50 + 12

f(-10) = 162

NO

The graph of the function is a parabola.   YES

See attached graph.

YES

The graph of the function opens down.  NO

See attached graph.

The graph contains the point (20, –8).    NO

See graph

----

Plus we can use x=20 in the function and see if it returns -8:

f(x)=x^2-5x+12

f(20)=(20)^2-5*(20)+12

f(20) = 400 - 100 + 12

f(20) = 312  It does not result in -8

The graph contains the point (0,0).        NO

See graph

Answer:

3 different ways

Step-by-step explanation:

2, 3, and 5 are all prime numbers under 6

Option 1 corresponds to Part B , Option 2 corresponds to Part D , Option 3 corresponds to Part A , Option 4 corresponds to Part C

The complete question is attached in the image

An expression corresponds to the mathematical statement that consists of variables , Constants and mathematical operators  simultaneously.

Solving the given option will give us the answer.

(x²+15x+65)+(2x-5)*(3x+8)

(x²+15x+65)+(6x²+16x-15x-40)

(7x²+16x+25)

Option 1 corresponds to Part B

(4x+1)*(3x-4)-(5x²-10x-12)

(4x+1)*(3x-4)-(5x²-10x-12)

(12x²-16x+3x-4)-(5x²-10x-12)

(7x²-3x+8)

Option 2 corresponds to Part D

(8x²+19x+4)+(3x+2)*(x-5)

(8x²+19x+4)+(3x²-15x+2x-10)

(11x²+6x-6)

Option 3 corresponds to Part A

(6x+1)*(3x-7)-(7x²-34x-20)

(18x²-42x+3x-7)-(7x²-34x-20)

(11x²-5x+13)

Option 4 corresponds to Part C

To know more about Expression

https://brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

The angle between AB and AC is:

We are looking for the distance BC, which can be found by using the law of cosines:

The distance between the boats is 197.93 km.

We need to prove

[tex]\frac{\tan A+\sin A}{\tan A-\sin A}=\frac{\sec A+1}{\sec A-1}[/tex]

[tex]\text{LHS}=\frac{\tan A+\sin A}{\tan A-\sin A}\\\\=\frac{\frac{\sin A}{\cos A}+\sin A}{\frac{\sin A}{\cos A}-\sin A}\\\\=\frac{\sin A+\sin A \cos A}{\sin A-\sin A \cos A}\\\\=\frac{\sin A(1+\cos A)}{\sin A(1-\cos A)}\\\\=\frac{1+\cos A}{1-\cos A}\\\\=\frac{1+\frac{1}{\sec A}}{1-\frac{1}{\sec A}}\\\\=\frac{\sec A+1}{\sec A-1}\\\\ =\text{RHS}[/tex]

To solve this problem, you will first use the Angle Sum Property to determine the value of x after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as x in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is x and can therefore be placed in an equation:

[tex]65+42+x=180[/tex]

Combine the like terms by combining the constants on the left side of the equation using addition:

[tex]65+42+x=180[/tex]

[tex]107+x=180[/tex]

After combining like terms, subtract 107 from both sides of the equation:

[tex]107 - 107 +x = 180-107[/tex]

[tex]\boxed{x=73}[/tex]

The final answer is x = 73 degrees.

Answer:

4 rows

Step-by-step explanation:

First set:

unknown rows, 5 tiles each

meaning old total is divisible by 5

Second set:

3 additional rows, 3 tiles each

meaning that the new total is divisible by 3

so, our total number of tiles is divisible by 5, add 1 and it is divisible by 3 when added 1

{another way I solved it : [and when it is divided by 3, it has 8 that fit into the original pattern; which is another way of knowing that each of the rows of 5 [each have 2 removed when turned into rows of 3] add up to having a remainder of 8 tiles; 8 / 2 = 4; so there were four rows in the original pattern contributing to the change--there were four rows] }

x is divisible by 5, x + 1 is divisible by 3

essentially, we are looking for a number that ends in 5 or 0, and the next number [ending in 6 or 1] is divisible by 3

I know that 5 goes into 20, and that 21 is divisible by 3, so let's test it out:

4 (rows of 5) turns into 7 [4 + 3] rows of 3

because 21 can be split into 7 rows, this number of tiles is possible

so, in the original pattern, there must have been 4 rows

hope this helps!! {so sorry if this confuses you, please let me know if I should explain my reasoning further}

have a lovely day :)

The correct statement regarding the box plot of the data-set is given by:

The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.

It shows:

In this problem, we have two unusually high values, $28 and $30, hence the right tail is longer than the left tail, hence the box plot is right-skewed, and the correct statement is:

The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.

More can be learned about box plots at https://brainly.com/question/14277132

#SPJ1

Answer:

A

Step-by-step explanation:

2a² + 2 + a - 2

+2 and -2 cancel

a² and a aren't like terms

final = 2a² + a

Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9