The graph shows the relationship between daily caffeine
consumption and resting heart rate for some adults.
Which phrases describe the relationship between heart
rate and daily intake of caffeine? Select two options.
Effects of Caffeine
negative correlation
180
increasing heart rate
constant correlation
Resting Heart Rate (bpm
positive correlation
decreasing heart rate
1 2 3 4 5 6 7 8 9 10
Total Coffee Intake (Cups)

Answer:

y = x + 2

Step-by-step explanation:

slope = 1

y = mx + b

4 = 1(2) + b

2 = b

y = x + 2

Answer:

see below

Step-by-step explanation:

A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.

B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.

C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.

Answer:

The volume  is  191.3 [tex]cm^3[/tex]

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by the formula:

[tex]Volume=\frac{B\,*H}{3}[/tex]

where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2

Now, we use this value and the height 10.2 cm to find the volume:

[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]

which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]

Answer:

191.3

Step-by-step explanation:

Answer:

[tex]-6x+15<10-5x[/tex]

Step-by-step explanation:

[tex]-3(2x-5)<5(2-x)[/tex]

Distribute.

[tex]-6x+15<10-5x[/tex]

Add 5x and subtract 15 on both sides.

[tex]-6x-5x<10-15[/tex]

[tex]-1x<-5[/tex]

Multiply -1 on both sides.

[tex]x>5[/tex]

Answer:

its c the third equation and d the first graph.

Step-by-step explanation:

Answer:

[tex] \boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7} [/tex]

Given:

[tex] \sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6 [/tex]

To find:

[tex] \sf (f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7 [/tex]

Answer:

a line with points A and B is True

Answer:

The answer is -135

Step-by-step explanation:

We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).

Then, we do 480 minus 354 which is -135.

Answer:

6 + 8

Step-by-step explanation:

6-(-8)= 6+8

Answer:

85.095cm³

Step-by-step explanation:

Volume of cone is ¹/³ πr ²h

volume = ¹/³ x 3.142 x (2.5)² x 13

volume = 85.095cm³

Answer:

C

Step-by-step explanation:

Since the area of a rectangle is the width multiplied by the length, the area of this one would be:

[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]

Therefore, the correct answer is choice C. Hope this helps!

Answer:

the answer is 183.77

Step-by-step explanation:

if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.

Answer:

28 numbers

Step-by-step explanation:

There is a distance of 81 between -0.5 and 80.5. Divide this number by 3, since you are only counting every third number and you will get 27, but you need to count the first number, which has been excluded. Add one more to get the answer, 28.

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

XZ

Step-by-step explanation:

The intersection of the 2 planes is along the line XZ

The intersection of the two planes in the image below is along the line XZ.

The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.

A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.

In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ.  The intersection of the 2 planes is along the line XZ.

Therefore, the intersection of the two planes in the image below is along the line XZ.

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Answer:

8x+6y

Step-by-step explanation:

5x+3x+2y+4y

5x+3x= 8x

2y+4y= 6y

The simplified the expression is 2(4x+ 3y).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

5x+3x+2y+4y

Now, moving the like terms aside

As, 5x + 3x are one pair

and, 2y+ 4y is second like term pair

So, 5x+3x+2y+4y

= (5x+ 3x) + (2y+ 4y)

= x(5 +3)+ y (2+4)

= x(8)+ y(6)

= 8x+ 6y

= 2(4x+ 3y)

Hence, the simplified the expression is 2(4x+ 3y).

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Answer:

135 km

Step-by-step explanation:

I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.

Answer:

The car traveled 135 kilometres!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has traveled 135 kilometres!

HOPE THIS HELPS!!

Mark me brainlest!

Answer:

a) -x(4[tex]x^{2}[/tex] -x +1)

b) 4[tex]x^{3}[/tex] (x-1)

c) -12[tex]x^{2}[/tex] - 3x + 3

Step-by-step explanation:

Most of it is really just a matter of substituting expressions in. here's how i did it:

f(x) = x-1

g(x) = 4[tex]x^{2}[/tex]

a) (f-g) x [tex]x[/tex]

= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]

= x(- 4[tex]x^{2}[/tex]+x-1)

= -x (4[tex]x^{2}[/tex] - x + 1)

*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.

b) (fxg) x [tex]x[/tex]

= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]

= 4[tex]x^{3}[/tex] (x-1)

*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]

c) (f+g) x -3

= (x - 1 + 4[tex]x^{2}[/tex]) x -3

= -3 (4[tex]x^{2}[/tex] + x -1)

= -12[tex]x^{2}[/tex] - 3x + 3

*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate

Hope that helped : )

Answer:

Step-by-step explanation:

Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.

To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:

1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.

The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.

The prime factorization for each of the coefficients is as follows.

8: 2³

6: 2 · 3

4: 2²

We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.

Now, we look at our x variables and y variables.

For x, we have x³ and x². So, our GCF is x².

Our GCF is now 2x². Now, let's look at our y-variables.

We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².

Answer:

1/3

Step-by-step explanation:

The probability that you will draw a heart is 1/3, the correct option is 3.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of cards=  6 hearts, 4 clubs, and 8 spades

Now,

To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.

The probability of drawing a heart is 1/18=1/3

Therefore, by probability the answer will be 1/3.

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Answer:

B

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

Answer: 1,666,666.666666667

Answer:

Step-by-step explanation:

The closed dot at (0, 9) indicates that that's where the graph begins.  The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as

{x | x ≥ 0}

Answer:

a). $(725 - 22t)

b). $99

Step-by-step explanation:

Expense account of the school has balance after 't' weeks = $(450 - 70t)

And fundraising account has the balance = $(275 + 48t)

a). Total amount in both the accounts after 't' weeks

    = $(450 - 70t) + $(275 + 48t)

    = $(450 + 275) + $(-70t + 48t)

    = $(725 - 22t)

b). Total amount after 8 weeks

    = $(725 - 22×8)

    = $(275 - 176)

    = $99

Answer:

B 1/7^2

D 7^-10 / 7^-8

Step-by-step explanation:

7^-2

We know that a^-2 = 1/a^2

1/7^2 = 1/49

We also know that anything with a power of 2 in the denominator is good

7^-8 / 7^-10 = 7^2  

7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69  that is the second answer

Answer:

Step-by-step explanation:

Answers C and D are correct.  

Note that in C we have    7^(-8)

                                         ---------- ,  

                                          7^(-10)

which is equivalent to 7^(-8 + 10), or 7^2, or 49.

A U B={ 1,2,3,4,5,6,7,8}

Solution,

A={2,4,6,8}

B={1,3,5,7}

A U B={ 2,4,6,8} U{1,3,5,7}

={1,2,3,4,5,6,7,8}

Hope it helps

Good luck on your assignment

Answer: x= 6

Step-by-step explanation:

2 +x + 1 = 2x -3

 1x + 3 = 2x -3

       +3          +3

1x + 6 =2x

-1x          -1x

  6= 1x

x= 6

Answer:

2 2/9

Step-by-step explanation:

So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9

And that is how to do it.

Answer: 2 8/36 or 2 2/9 (simplified)

HOPE THIS HELPS :)))

Answer:

5.8 is what I think it is. I also got 4.6 on another calculator.

Step-by-step explanation:

I did it on math-way.

Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Step-by-step explanation:

make sure you mark me as briliest

Answer:

D. 2

Step-by-step explanation:

point on the graph:

slope is

slope is D. 2