Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the fu
decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
O It is linear because the graph decreases over time.
O It is linear because there is both an independent and a dependent variable.
O It is nonlinear because linear functions are increasing functions.
O It is nonlinear because linear functions increase or decrease at the same rate.

The number is in between 8 and 9 on the right side of the line.

The number line is a line composed of numbers from negative infinity to positive infinity.

This means all kinds of numbers, except imaginary numbers, are included including integers (whole numbers), rational and irrational numbers.

Positive numbers lie on the right side while negative numbers lie on the left side.

In this case, the first thing to do is to convert the fraction part of 8 3/5 to estimate its location in the number line.

So, 3/5 is equal to 0.6.

Thus, 8 3/5 = 8.6.

The number is thus in between 8 and 9 on the right side of the line that is a little more than the half between these numbers. 

Hence the answer is the number is thus in between 8 and 9 on the right side of the line.

To learn more about diameter click here https://brainly.com/question/23220731

#SPJ9

Answer:

You will have 4 dollars left

Step-by-step explanation:

Assuming from the question, you start with 10 dollars. You lose 75 cents for each games. If you play 8 games, you multiply 0.75 by 8 to get 6. Then you subtract 6 from 10 to get your remaining money, which is 4 dollars

The comparison of the linear functions to line A are given as follows:

A linear function is defined as follows:

y = mx + b.

In which the coefficients are listed as follows:

The slope determines if the lines are parallel, perpendicular, or neither, as follows:

In this problem, the function is:

y = 4x - 6.

Hence the slope is of:

m = 4.

Then the functions, relative to y = 4x - 6, are classified as follows:

The problem gives three lines with different slopes, and you have to define if they are parallel, perpendicular or neither parallel nor perpendicular.

The intercepts are not relevant and I couldn't find the problem on the internet, hence I say that they are constants.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

a. parallel    b. neither      c. neither      d. perpendicular

Step-by-step explanation:

Find the gradient of the line in the graph

Choose 2 coordinates, I choose (0,1) and (3,3)

Use the formula

(y2 - y1)/(x2 - x1)

(3 - 1) / (3 - 0)

2/3

Gradient of a parallel line is the same

Gradient of a perpendicular line formula m1m2 = -1

(2/3)m2 = -1

m2 = -3/2

The gradient of the perpendicular line will be -3/2

The gradient of the parallel line will be 2/3

Any other gradient will be neither parallel nor perpendicular.

Answer:

point C

Step-by-step explanation:

Function A has a rate of change of 5 & function B has a rate of change of -4.5. so, function A has a greater rate of change.

What is the rate of change?

The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be expressed as a ratio of a change in one variable to a corresponding change in another. This ratio is represented graphically by the slope of a line.

For the first function, we can use the equation of the slope

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

take any two points,

m = (25-15)/5.5-3.5 = 10/2 = 5

The general equation of a straight line is;

y = mx + c

where m is the slope

Therefore, in the case of the second equation, -4.5 is the slope

Hence, function A has a rate of change of 5 & function B has a rate of change of -4.5. so, function A has a greater rate of change.

To learn more about the rate of change visit:

https://brainly.com/question/8728504

#SPJ1

The amount of water that Neil uses is 7.22 gallons

From the information, Melissa uses 3/5 as much water as Neil to water her plants and Melissa uses 4 and 1/3 gallons of water.

Let Neil be illustrated as x

Therefore, 3/5 × x = 4 1/3

0.6x = 4 1/3

0.6x = 4.33

Divide

x = 4.33 / 0.6

x = 7.22 gallons

Neil used 7.22 gallons.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Area of the triangle in R² using determinant for the given vertices (-4, -4) , (0,-2) and (-2,4) is equal to 14 square units.

As given in the question,

Vertices of the triangle are given by:

( x₁ , y₁ ) = (-4,-4)

(x₂ , y₂) = (0, -2)

( x₃ , y₃) = (-2, 4)

Area of triangle using determinant is given by

= [tex]\frac{1}{2} \left|\begin{array}{ccc}-4&-4&1\\0&-2&1\\-2&4&1\end{array}\right|[/tex]

= (1/2) [-4(-2 -4) + 4(0+2) +1(0-4)]

=(1/2) ( 24 + 8 - 4)

= (1/2) ( 28)

= 14

Therefore, area of the triangle in R² using determinant for the given vertices (-4, -4) , (0,-2) and (-2,4) is equal to 14 square units.

Learn more about area here

brainly.com/question/27683633

#SPJ4

Answer:

las fórmulas de 3 dividir por r te va a dar igual a 1.862

Answer: i think this is the same thing https://brainly.com/question/28965695?referrer=searchResults

if it is then theres ur answer

Step-by-step explanation:

After evaluating the integral is [tex]69x^{6}/2 + 23x^{3} +C[/tex].

Given:

(3x3+1)69x2 dx

= 69[tex]x^{2}[/tex]*3[tex]x^{3}[/tex] + [tex]69x^{2}[/tex]

= 207[tex]x^{5}[/tex] + [tex]69x^{2}[/tex]

apply integration

= ∫ 207[tex]x^{5}[/tex] + [tex]69x^{2}[/tex]

= 207∫[tex]x^{5}[/tex] + 69∫[tex]x^{2}[/tex]

= 207*[tex]x^{6} /6[/tex] + 69*[tex]x^{3} /3[/tex]

= 69[tex]x^{6} /2[/tex] + [tex]23x^{3}[/tex] + C

Therefore After evaluating the integral is [tex]69x^{6}/2 + 23x^{3} +C[/tex].

Learn more about the integral here:

https://brainly.com/question/18125359

#SPJ4

Answer:

6:8:10, 9:12:15

Answer:

a if both are right triangle

Step-by-step explanation:

if both are right triangles is the correct answer. Three sides and three angles together create a triangle. Here, Ryan and Kathy drew triangles with the same angle. We can say that two triangles are similarly based on certain rules.Ma

The total number of changes in fishes is 63

The product is the multiplication of two or more integers together. Assume their are two integers and , then their product will be obtained when we multiply both the numbers together. 9× 7 = 63 . For example if there are 10mangoes in 5 basket, the total number of mangoes is 5×10= 50mangoes

3 fishes were added for 21 days in a pond. This means that the total number of fishes added = 21×3= 63 fishes

Therefore the total number of changes in the pond is 63 fishes.

learn more about product of numbers from

https://brainly.com/question/25922327

#SPJ1

Answer:

x+y=73, 1.5x+2y=1−8

lazyuser30

The value of f(16)=903.99, if f(x) is an exponential function where f(2)=3 and f(10.5)=96

The exponential function is a mathematical function that is represented by f(x)=exp or ex. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras. Although the exponential function was derived from the concept of exponentiation (repeated multiplication), modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all real arguments, including irrational numbers. Because of its prevalence in pure and applied mathematics, mathematician Walter Rudin called the exponential function the most important function in mathematics.

For exponential function,

f(x)= abˣ ; b>0, a, b ∈R

Given, f(2)=3

f(10.5)=96

Therefore, f(2)=ab²

3=ab²

a=3/b²

f(10.5)=a[tex]b^{10.5}[/tex]

96=a[tex]b^{10.5}[/tex]

a=96/[tex]b^{10.5}[/tex]

By equating a values then,

3/b²=96/[tex]b^{10.5}[/tex]

3[tex]b^{10.5}[/tex]=96b²

32=[tex]b^{10.5}[/tex]b⁻²

[tex]b^{8.5}[/tex]=32

b=[tex](32)^{1/8.5}[/tex]

Therefore, b=1.5034

a=3/b²

a=3/(1.5034)²

a=1.3273

f(16)=ab¹⁶

f(16)=(1.3273)(1.5034)¹⁶

f(16)=903.99

Therefore, the value of f(16)=903.99

To know more about exponential function, visit:

https://brainly.com/question/14355665

#SPJ1

The number remaining for 19.35 to get to 25 is 5.65.

Expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both

In this case, the number remaining for 19.35 to get to 25 will be:

= New number - Old number

= 25 - 19.35

= 5.65

The number is 5.65.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The required ratio for the burger is 3:6:9 and the ratio for the hot dog is 5:10:15.

Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,

Now,

According to the question,

3 / 5 = x / 10

x = 6

Now,

x / 10 = 9  / y

Substitute the value of x,

6 / 10 = 9 / y

y = 90 / 6

y = 15

Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.

In mathematics, a ratio suggests how commonly one variety consists of another. for example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to 6 (this is, eight:6, that's equal to the ratio four:3). similarly, the ratio of lemons to oranges is 6: 8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

The numbers in a ratio may be quantities of any kind, consisting of counts of human beings or items, or which include measurements of lengths, weights, time, and many others. In maximum contexts, each number is constrained to be advantageous.

A ratio may be specified either by way of giving each constituting number, written as "a to b" or "a: b", or through giving simply the price of their quotient a/b. identical quotients correspond to the same ratios.

Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number inside the numerator and the second one in the denominator, or as the price denoted by using this fraction. Ratios of counts, given via (non-zero) herbal numbers, are rational numbers, and might occasionally be natural numbers. while portions are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of quantities that are measured with distinct devices is referred to as a rate.

To learn more about Ratio visit here:

brainly.com/question/13419413

#SPJ4

Answer: 3 is less than 7, the absolute value of 3 is less than the absolute value of 7

Step-by-step explanation: Absolute value is how far a number is from 0. the best way to show absolute value is to test how far away the number is from 0 by using a number line. For example, the absolute value of -9 would be 9, or the absolute value of 5 would be 5. Absolute value is the amount of distance between the number and 0.

Hope this helps!

The total percentage decrease in the investor's stock account is 5%.

Investment in stock A = 5200

Investment in stock B = 6450

Investment in stock A and B  worth

5200 × (1- 0.03) = 5044

6450× ( 1- 0.06) = 6063

Total investment in both stock A and B now

5044 + 6063= 11107

Total investment in both stock A and B last year

5200 + 6450 = 11,650

Hence,

Total percentage decrease = 1 - (11,107 /11,650)

Total percentage decrease  = 1 - 0.95

Total percentage  decrease = 5%

Therefore 5% is the percentage decrease.

Learn more about percentage decrease here:https://brainly.com/question/11360390

#SPJ1

Answer:

Set the two functions equal to each other to find the point where they intersect:

[tex]x+2=2x+1\\\\x-2x=1-2\\\\-x=-1\\\\x=1[/tex]

Plug the x-value in to find the corresponding y-value. It should be the same for both functions:

[tex]y=x+2=1+2=3\\\\y=2x+1=2(1)+1=2+1=3[/tex]

So, they intersect on (1, 3), as shown on the graph below.

Answer:

HL

Step-by-step explanation:

Since the two triangles are right triangles and have 2 sets of congruent sides, you can use the HL congruence theorem to prove that they are congruent.

**HL only works with right triangles

Using the Sample size formula , the sample manufactuer of paints observations or sample size is 22 ton .

Sample size: It is defined as the number of participants or total observations in a study of sample.

we have provided that,

standard deviations of sample (σ)= 3 tons

mean of sample ( X) = 70 tons

confidence level = 98% = 0.98

Margin of error (M.E) = 1 ton

Using the sample size formula,

n = z²(σ)(1-σ) /( M.E)²[1+σ (1-σ)z²/(M.E)²X]

where, X---> population size

s.d --> standard deviations

M.E ---> margin of error

Z-value for confidence level

so, z-value corresponding to 98% of confidence level is 2.32 ..

putting all the values in above formula we get, n = (2.32)²(2)3/(1)²(1+ (2.32)²(6)70×1)

=> n= 32.29/(1+(0.46))= 32.29/ 0.46

= 22.1 ~ 22

Hence, sample size is 22 ton .

To learn more about sample size, refer:

ttps://brainly.com/question/24158610

#SPJ4

The state income tax that should be paid by Emmet Michael's is $1,336.50.

Given,

In the question:

Emmet Michael's gross pay is $31,700.

He takes a single exemption of $2,000.

and, His state income tax rate is 4. 5%.

To find the how much will he pay in state income tax?

Now, According to the question;

The calculation of the state income tax paid by Emmet Michael is as follows:

= (Gross pay - exemption amount) × income tax rate

= ($31,700 - $2,000) × 4.5%

= $29,700 × 4.5%

= $1,336.50

Hence, we can conclude that the state income tax that should be paid by Emmet Michael's is $1,336.50.

Learn more about Income Tax at:

https://brainly.com/question/11711267

#SPJ4

Answer: -14

Step-by-step explanation:

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

In the given question,

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.

We have total 25 members.

Their have total 3 position president, secretary, and treasurer.

When the one position of president filled then their was left 24 member for the secretary position.

When the one position of secretary filled then their was left 23 member for the  treasurer position.

So the possible ways to fill the position is find by multiplying the 25,24 and 23. So

Possible ways=25*24*23

Possible ways=13,800

Hence, if you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

To learn more about probability link is here

brainly.com/question/14257619

#SPJ4

Answer:

6 kg

Step-by-step explanation:

The other guy is correct.

Answer:

x+a= b , where a,b are uncertain values. Although both can be solved similarly, the difference is that, in literal equations, the letters representing the amount of a numerical value do not always change; however, in a single-variable equation, the letters representing these can/may vary.

Step-by-step explanation:

x+a= b , where a,b are uncertain values. Although both can be solved similarly, the difference is that, in literal equations, the letters representing the amount of a numerical value do not always change; however, in a single-variable equation, the letters representing these can/may vary.

The distance from an angle of depression to the boat at 21° to angle of depression of 50° is 112 feet

Information from the question

A boat is heading towards a lighthouse, where Yaritza is watching from a vertical distance of 139 feet

Yaritza measures an angle of depression to the boat at point AA to be 21°

Yaritza takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50°

the distance from point AA to point BB = ?

The direction of movements describes a right triangle of

opposite =  ?

adjacent = 139 feet

The distance is calculated using tan, TOA let the angle be x

tan x = Opposite / Adjacent

for x = 21 point AA is solved

tan 21 = ? / 139

? = 139 * tan 21

? = 53.357

for x = 50 point BB is solved

? = 139 * tan 50

? = 165.654

the distance from point AA to point BB

= 165.654 - 53.357

= 112.297

Learn more about right triangles here:

https://brainly.com/question/29402966

#SPJ1