Find the gradient of the following line

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

1. 4 to 7

2. 3 even : 1 odd

3. 6 vanilla to 8 chocolate

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed

Answer:

18[tex]\sqrt{3}[/tex] inches

Step-by-step explanation:

Applying,

Pythagoras theorem,

a²= b²+c²

Where a = hypotenus, b = base of the triangle, c = height.

make c the subject of the equation

c = √(a²-b²)................. Equation 2

From the diagram attached,

Given: a = 36 in, b = (36/2) in = 18 in

Substitute these values into equation 2

c = √(36²-18²)

c = √(1296-324)

c = √(972)

c = √(972)

c = √(324×3)

c = 18[tex]\sqrt{3}[/tex] inches

Answer:

Step-by-step explanation:

1/[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]

=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex]/5

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

13/5

Decimal Form:

2.6

Mixed Number Form:

2 3/5

Step-by-step explanation:

Answer:

The rate of change would be $3.50 per gallon.

Step-by-step explanation:

In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.

Answer:

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

Answer:

Subject

Step-by-step explanation:

Have a good day :)

Answer:

y = x-4

Step-by-step explanation:

y = x +4

This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept

Parallel lines have the same slope

The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5

y = mx+b

y = 1x-4

y = x-4

Answer:

the ordered pair (2, 6) is the answer

Step-by-step explanation:

y - x > -3

you can use substitution for each option:

2 - 6 > -3    False, -4 is not > -3

6 - 2 > -3    True, 4 is not > -3

-1 - 2 > -3    False, -3 is not > -3

Answer:

D. It is the sum of the data divided by the number of pieces of data

Step-by-step explanation:

It's also known as the average of the numbers in a data set.

What is the definition of mean?

[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]

[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

22 times 4 1/2 divided by 2

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)

The third quartile of in the box plot given is : 56 pounds

The third quartile of the data as represented in the box plot given :

39 pounds

The interquartile range(IQR) of ken's data = 56 - 39

= 17 pounds

Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

Find more information about the interquartile range here

https://brainly.com/question/4102829

#SPJ2

Answer:

C)  x = 3

Step-by-step explanation:

factor out a 2 to get:

2(x² - 6x + 9) = 0

(x-3)² = 0

x = 3

Answer and Step-by-step explanation:

First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.

The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).

2([tex]x^2 - 6x + 9[/tex])

Now, we factor. Find two numbers that multiplies to [tex]9x^2[/tex] and adds up to -6x.

-3x and -3x.

Now, we substitute these two for -6x.

[tex]2(x^2 - 3x-3x+9)[/tex]

Factor.

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

Finally, we set all of the values to 0 and solve for x.

2 ≠ 0

x - 3 = 0    x = 3

x - 3 = 0    x = 3

That means the answer is C. x = 3

(Not shown, but the multiplicity of this x value is 2, because there are two

x = 3)

#teamtrees #PAW (Plant And Water)

Answer:

A≈249.02cm

Step-by-step explanation:

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 49

Step-by-step explanation:

Create a proportion where x is the number of liters of yellow paint she should use:

[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]

Cross multiply and solve for x:

4x = 196

x = 49

So, she should add 49 liters of yellow paint.

The correct answer is D. 49

Answer:

120

Step-by-step explanation:

Answer:

We have:

x = t^2 + 2*t

y = -t

where:

–4 ≤ t ≤ 1

Isolating t in the "y" equation, we get:

t = -y

Now we can use the limits of t, to find similar limits for y.

When t = -4

-4 = -y

4 = y

when t = 1

1 = -y

-1 = y

Then the limits for y are:

-1 < y < 4

Now, knowing that t = -y

we can replace that in the "x" equation:

x = t^2 + 2*t

x = (-y)^2 + 2*(-y)

x = y^2 - 2*y

Then the graph of the parametric equation is the one defined by:

x = y^2 - 2*y

in the range

-1 < y < 4

The graph of this can be seen below, where the two black dots are the points where the graph should start/end.

The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:

[tex]x = t^{2}+2\cdot t[/tex] (1)

[tex]y = -t[/tex] (2)

By (2):

[tex]t = -y[/tex]

(2) in (1):

[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]

[tex]x = y^{2}-2\cdot y[/tex]

In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657

Answer:

5^2 = 100

100 x 3.14 = 314

Now we multiply by 20 since it's the height.

314 x 20 = 6,280 cm^3 is your answer.

Formula of cylinder:

H x πr^2

Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).

Answer:

(40-12)-(x·7)

Step-by-step explanation:

x is the price foreach of the 7 binders

A and C are the right equation