The graph below displays the amount of water in a tank.

What is the rate of change in terms of the situation?

Answer:

2.6 feet

Step-by-step explanation:

At each point, there is a loss of 20% (since it flies to 80%)

a) 8 - 20% of 8

= 8-1.6 = 6.4

b) 6.4 - 20% of 6.4

= 5.12

c) 5.12 - 20% of 5.12

4.096

d) 4.096 - 20% of 4.096

3.2768

e) 3.2768 - 20% of 3.2768

= 2.62144 feet

Step-by-step explanation:

Scores of Australia in all four matches starting from 1st 208, 192, 241, 203 respectively.

Similarly, scores of Pakistan in all four matches starting from 1st 102, 202, 360, 276 respectively.

The avg of  Pakistan in one match = (102+202+360+276)/4 = 235

The avg of  Australia in one match = (208+192+241+203)/4= 211

Since, the avg score of Pakistan is more than that of Australia, Pakistan performed better.

Answer:

x=24 degrees

Step-by-step explanation:

2x-4=44  <----The triangle is isosceles, in which the two base angles are equal

2x=48  <-----Solve the equation

x=24 <-------Answer

Answer: it’s b

Step-by-step explanation:

Trust me

Answer:

It will take 1.6 hours for the two trains to be 336 miles apart.

Step by step explanation:

Given that:

Speed of eastbound train = 95 miles per hour

Speed of westbound train = 115 miles per hour

Combined speed = 95+115 = 210 miles

Distance = 336 miles

[tex]Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours[/tex]

Hence,

It will take 1.6 hours for the two trains to be 336 miles apart.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Answer:

2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

You can use a factoring tree to find the prime factorization of 100.

                     +------ 100----------------+

                     |                                  |

                    2                           +---50---------+

                                                  |                    |

                                                  2          +----25----+

                                                               |               |

                                                               5              5

The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

2^2 × 5^2 =

(2×2) × (5×5) =

4 × 25 = 100

5^2 × 2^2 =

(5×5) × (2×2) =

25 × 4 = 100

2*2*5*5=100

2 and 5 are the only prime numbers in this question. 2(2)*5(5) doesnt equal 100.

Answer: the babies

Step-by-step explanation:

The experimental unit in an experiment is the one on which the experiment is performed. According to the given experiment, the motive is to identify which brand of baby food is helpful in producing healthier babies which can be determined by the weight gain in babies during first few months after providing the baby food.

Here, the experiment units are the babies which are provided with foods of different baby food brands to check their weight gain and determine their health.  

Answer:

Hi! Is there a picture?

Step-by-step explanation:

Answer:

The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...

Answer:

It is 40

Step-by-step explanation:

The highest common factor of 200 and 240 is 40

Answer:

see in this picture, the point of Lake House is (-2;5)

                               the point of Cabin is (6;3)

                               the point of Store is (-4;-5)

=> the distance between Lake House to Store is [tex]\sqrt{(-4-(-2))^{2}+(-5-5)^{2} }=2\sqrt{26}[/tex]

the distance between Cabin to Store is [tex]\sqrt{(-4-6)^{2}+(-5-3)^{2} }=2\sqrt{41}[/tex]

Step-by-step explanation:

The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

#SPJ1

Answer:

[tex]71^{\circ}[/tex]

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:

[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)

[tex]2(m\angle W) = 142[/tex]

[tex]m\angle W=71^{\circ}[/tex]

Hope this helps :)

Answer: 2,100$

Step-by-step explanation:

Answer:

x=41

Step-by-step explanation:

0.25(x-13)=7

We move all terms to the left:

0.25(x-13)-(7)=0

We multiply parentheses

0.25x-3.25-7=0

We add all the numbers together, and all the variables

0.25x-10.25=0

We move all terms containing x to the left, all other terms to the right

0.25x=10.25

x=10.25/0.25

x=41

The solution to the equation; 0.25(x - 13) = 7 as given is; x = 41

According to the question;

The solution to the given equation can be evaluated as follows;

x = 41.

Read more on one variable equation;

https://brainly.com/question/21528555

Answer:

3.42

Step-by-step explanation:

Step-by-step explanation:

Area = Length * Width = (3m)(xm) = 3xm².

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J       F ---> K      G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

Here is the complete question:

suppose m is the line with equation x=-5, line n is the line with equation y=1, line g is the line with equation y=x, and line h is the line with equation y=-2. Given A(9,-3), B(6,4), and C(-1,-5), what are the coordinates of the vertices of △A′B′C′ for each reflection?

1. Rx-axis

2. Ry-axis

Answer with step-by-step explanation:

1. When you get the reflecting coordinates along x-axis, the signs of the y coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(9, 3), B(6, -4), and C(-1, 5).

2. When you get the reflecting coordinates along y-axis, the signs of the x coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(-9, -3), B(-6, 4), and C(1, -5).

Answer: B.

Step-by-step explanation: It's the only table that shows a consistent slope. The equation would be  y=6x+6.

Answer:

B

Step-by-step explanation:

Answer:

[ - 2, - 7 ]

Step-by-step explanation:

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

m = 7

Step-by-step explanation:

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]

The slope is 7.

Hope this helps.

Answer:

m=7

Step-by-step explanation:

Slope is the change in Y over the change in X

The change in Y is 7

The change in X is 1

7/1 = 7

Answer:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Step-by-step explanation:

This recipe makes 8 portions of porridge. Complete the amount of each ingredient that is needed to make just 5 portions.

The ingredients for the recipe = Oats, Milk, Sugar

Hence:

For Oats

8 portions of porridge = 400g of oats

5 portions of porridge = x

Cross Multiply

8x = 5 × 400

x = 5 × 400/8

x = 250g of oats

For Milk

8 portions of porridge = 1.2 L of milk

5 portions of porridge = x

Cross Multiply

8x = 5 × 1.2

x = 5 × 1.2/8

x = 0.75 L of milk

For sugar

8 portions of porridge = 40g of sugar

5 portions of porridge = x

Cross Multiply

8x = 5 × 40

x = 5 × 40/8

x = 25g of sugar

Hence:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that [tex]perimeter = 2(l + w)[/tex] where l = length & w = width

So,

[tex]2(w + 4 + w) = 208[/tex]

[tex] = > 2(2w + 4) = 208[/tex]

[tex] = > 2w + 4 = \frac{208}{2} = 104 [/tex]

[tex] = > 2w = 104 - 4 = 100[/tex]

[tex] = > w = \frac{100}{2} = 50[/tex]

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

Answer: We assume that the number of cakes baked varies directly with the number of hours. Hence, he can bake 9 cakes in 7.5 hours.

Step-by-step explanation: