Eight college students recorded how many hours they exercised every week. Then they measured their pulse (heartbeats per minute) while they were resting.
-
What relationship does the graph show?

1.) A positive relationship: The more you exercise, the higher your resting pulse.

2.) A negative relationship: The more you exercise, the lower your resting pulse.

3.) There is no relationship: Exercise has no effect on your resting pulse.

Absolute value equation that has the solutions x=2 and x=9 is |x - 5.5| = 3.5

absolute value equation is |x - 5.5| = 3.5

Generalizations of the absolute cost for actual numbers arise in a huge form of mathematical settings. as an example, an absolute value is likewise defined for the complicated numbers, the quaternions, ordered jewelry, fields and vector spaces. absolutely the price is closely associated with the notions of value, distance, and norm in numerous mathematical and bodily contexts.

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The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, the direction angles are

Given a vector r = xi + yj + zk where

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, their direction angles are

As an example, let r = 3i + 4j + 5k

So, r = √(x² + y² + z²)

= √(3² + 4² + 5²)

= √(9 + 16 + 25)

= √50

= 5√2

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, the direction angles are

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Answer: -6 7/8

Step-by-step explanation:

-2 1/4 - 4 5/8=

(-2 1/4 - 4 5/8)*8/8=     ==> Multiply by 8 since it is the LCM of 4 and 8 and will get rid of denominators

(-16 8/4 - 32 40/8)/8=

(-(16+2)-(32+5))/8=

(-18-37)/8=

-55/8=

-(48+7)/8=-6 7/8

Answer:

52.948 m²

Step-by-step explanation:

→ State the formula for the area

length × width

→ Substitute in the numbers

8.68 × 6.1 = 52.948 m²

Step-by-step explanation:

first add all the n together

3n and 4n

add those together too

7n

now add 2+4

6 now

7n\-7n =6/-7n = -1n

3/4 a number b divided by 5 is 15b/4

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction).

3/4 a number b:

=3b/4

Divided by 5:

=3b/4/5

We have to multiply numerator with the dominator by 5 to remove the double fraction:

=3b*5/4

=15b/4

3/4 a number b divided by 5 is 15b/4

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Answer:

-3, -11/2

Step-by-step explanation:

Look up "midpoint formula"

The equation representing the inequality is 2·x² + 16·x + 32 ≥ 254

The width of the photo on the cake is x.

The dimensional relationship mentioned between the dimensions of the cake & the photo on the cake mentioned in the question are:

Width of cake = Width of photo + 4 inches

i.e., W = x + 4

And, Length of the Cake is twice the Width of the cake

i.e., L = 2*W

Also, It is mentioned that the Area of the Cake is 254 sq inches.

We know Formula to calculate the Area of a rectangle is :

          =>   Area = Length * Width

          =>   254  ≤ 2*W * (x+4)     =>   254 ≤ 2(x+4)*(x +4)

          =>   2·x² + 16·x + 32 ≥ 254

Hence, The inequality representing this case is 2·x² + 16·x + 32 ≥ 254

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Sample correlation B  = R in output = 0.7 The above data is calculated from parameter estimation.

The Pearson correlation coefficient (PCC) is a statistical measure of linear correlation between two data sets. It is also referred to as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation, or simply the correlation coefficient. It is a normalised covariance measurement, with the result always falling between 1 and 1. It is the ratio between the covariance of two variables and the product of their standard deviations. The measure, like covariance itself, can only account for linear correlations between variables and ignores numerous other kinds of connections or correlations.

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Step-by-step explanation:

Multiply both sides of the equation by 24, the least common multiple of −8,6

−3x=4×12

Multiply 4 and 12 to get 48.

−3x=48

Divide both sides by −3.

x= −3/48

Divide 48 by −3 to get −16.

The answer is x=−16

​

Answer:

8

Step-by-step explanation:

Answer:

none is

Step-by-step explanation:

The area of the rectangle will be 24sq, units.

To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:

A = width x length

Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)

So the length of rectangle will be = distance between W and X will be -

⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]

⇒[tex]\sqrt{18}[/tex]

The breadth of rectangle will be = distance between X and Y

⇒ [tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]

⇒ [tex]\sqrt{32}[/tex]

Now, area of rectangle = length × breadth

⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]

⇒ 24 sq. units

So, the area of the rectangle will be - 24 sq. units

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The equation of the perpendicular bisector of the line segment whose endpoints are (-8,-1) and (-4,5) is y = 3/2x + 7

First we have to find the midpoint of the line

endpoints are (-8,-1) and (-4,5).

midpoint = -8 + -4/2 , -1 +5/2

= -6, 2

slope = -1 - 5 / -8 - -4

= -6 /-4

= 3 / 2

Equation for the line

y - 2 = 3/2(x + 6)

y = 3/2(x + 6)-2

y = 3/2x + 7

Hence the equation of the perpendicular bisector of the line segment whose endpoints are (-8,-1) and (-4,5) is y = 3/2x + 7

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Answer:

x = 36

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Think of it this way,

0.2 = 200

0.197 = 197

200 > 197

Answer:

x = 7

y = 3

Step-by-step explanation:

Because the opposite side, Line segment QR, is 11. So, you need to find a number that when multiplied by 2 and then subtracted by 3 is equal to 11.

First, I just guessed, that 7 times 2 is 14, and then minus 3 is equal to 11

Here is how I worked it out:

2x-3=11

2x=14

x=7

8y+5=6y+11

2y=6

y=3

The value of the variable x and y will be 7 and 3, respectively.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The rectangle PQRS is shown.

From the rectangle PQRS, the side PQ and RS are congruent. And the side PS and QR are also congruent.

PQ = SR

6y + 11 = 8y + 5

2y = 6

y = 3

PS = QR

2x - 3 = 11

2x = 14

x = 7

The value of the variable x and y will be 7 and 3, respectively.

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He made the mistake on line 1.

2x^2 - 8x + 5....move the 5 to the other side

2x^2 - 8x = -5....now divide by 2

x^2 - 4x = -5/2

x^2 - 4x + 4 = -5/2 + 4

(x - 2)^2 = -5/2 + 8/2

(x - 2)^2 = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

He made mistake on line 1.

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

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The intersection of the sets written in interval notation is -1 ≤ x ≤ 4

Interval notation is a mathematical method or  way of writing subsets of the real number line.

It also helps in telling the part of the number line, from left to right, that is  included in the solution.

Given the sets;

( − 1 , 6 ] ∩ [ − 3 , 4 ]

(-1, 4) is the intersection of the sets

In interval notation, it is written as;

-1 ≤ x ≤ 4

Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4

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The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.

A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.

The midpoint is the point on the section that lies halfway between the endpoints.

A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).

Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.

Add all of the y-coordinates together and divide by two to get the y value of the midway.

It is critical to understand that a midpoint is indeed the midpoint of a line segment.

m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.

We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.

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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?

Answer: for sure

Step-by-step explanation:

Answer: How do you solve age problems in algebra?

If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.

Step-by-step explanation: hope this helpss!!!

An inequality to determine the minimum number of hours he needs to practice on each of the 2 days 0.835.

Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy - it is shown by individuals' various situations inside the financial conveyance - abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. In order to solve the inequality, the variable should be on one side, without coefficients or constants. Divide to cancel out coefficients and add or subtract to remove constants. Once you have isolated the variable, you have solved the inequality. Approach the inequality as you would an equation. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.

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Answer:

Step-by-step explanation:

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Answer: it's 3 love