Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

[tex]y=-3x[/tex]

Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].

Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]

Total distance = 50 miles

For total time:

[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]

Total time = 1 hour

Mathematically, average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]

Average speed = 25 mph.

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Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

Step-by-step explanation:

you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Answer:

0.444

Step-by-step explanation:

The total number of ties is 9, and there are 4 red ones.

So, the probability of choosing a red tie is 4/9.

4/9 = 0.444 as a decimal

Answer:

2/3

Step-by-step explanation:

26/39

26 and 39 are multiples of 13.

Simplify the fraction.

26 ÷ 13 / 39 ÷ 13

⇒ 2/3

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Step-by-step explanation:

Given

Number of male = m

Number of female = f

Average salary = 2000

Average Salary of male = b + 200

Required

Average salary of female

Average is calculated as follows;

[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]

For the whole company;

The formula becomes

[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]

Multiply both sides by m + f

[tex]2000(m+f) = Total\ Salary[/tex]

The total salary is the sum of the male salary and female salary;

In other words;

Total Salary = Male Salary + Female Salary;

The above expression becomes

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1

For the male staffs;

[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]

[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]

Multiply both sides by m

[tex](b+200)m = Male\ Salary[/tex]

Substitute (b + 200)m for Male Salary in equation 1

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]

[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]

Subtract both sides by (b + 200)m

[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]

[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]

At this point, the average monthly salary of female staffs can be calculated;

[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you

Answer:

A

Step-by-step explanation:

the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2

The equation that has the steepest slope is y = -14x + 1

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

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Answer:

Y=-14x+1

Step-by-step explanation:

Answer: c, b, a, d

Step-by-step explanation: that is correct

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

It is an acute angle due to the angle formed at the vertex being less than 90 degrees

Answer:

acute triangle

Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

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Answer:

-270

Step-by-step explanation:

Here, we want to know the coefficient of the fourth term.

The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1

So the expansion looks as follows;

1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........

So the fourth term we are dealing with is

10[(-x)^2(-3)^3)]

So the value here is

10 * x^2 * -27

= -270 x^2

So the coefficient is -270

Answer:

The answer is option A.

Hope this helps you

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 7[/tex]

[tex]c = 2 \times \pi \times 7[/tex]

[tex]c = 14\pi \: \: cm[/tex]

Answer:

14[tex]\pi[/tex]

units = cm

Step-by-step explanation:

circumference = 2 x [tex]\pi[/tex] x r

c = 2 x [tex]\pi[/tex] x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x [tex]\pi[/tex]

c = 43.98229715

in terms of pi c = 14 [tex]\pi[/tex]

units = cm

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

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Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]