How many gallons of the water are in the filled tank? You must show work with dimensional analysis using the above fact.

Answer:

16c²+ 32 cd +16d²

Step-by-step explanation:

area of rectangle is side²

(4c+4d)²

16c²+ 16cd+16cd+16d²

16c²+32cr+16d²

Answer:

The sequence cannot be arithmetic.

Explanation:

Given the sequence: 6,12,24,48

We want to determine if the sequence is arithmetic.

An arithmetic sequence is a sequence made in which the next term is obtained by the addition of a constant term called the common difference.

In the given sequence:

The difference between the terms is not constant.

Therefore, the sequence cannot be arithmetic.

The two values for the quadratic equation [tex]x^{2} +3x-5=0[/tex] is [tex]\frac{-3+\sqrt{29} }{2}[/tex] and [tex]\frac{-3-\sqrt{29} }{2}[/tex]

What is quadratic equation?

Quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

The solution of the x = [-b±√(b2-4ac)]/2a

where b= 3 a= 1 and c = -5.

x = -3±[tex]\sqrt{3^{2}-4(1)(-5) } /2[/tex]

x=[tex]\frac{-3-\sqrt{29} }{2}[/tex]

and x = [tex]\frac{-3+\sqrt{29} }{2}[/tex]

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Answer:

5.5

Step-by-step explanation:

0.4x = 2.2

x = 5.5

Answer:

3: 113.04 m^2

Step-by-step explanation:

pi r^2

3.14 x 36

= 113.04 m^2

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Answer:

The variable x represents the number of fish tanks he/she sells.

Explanation:

Given that Eric's base salary is still $1400, but now he makes a commission of

$100 for each fish tank that he sells and Nancy now gets a base salary of $500 per month, but her commission has stayed the same at $250 per fish tank.

Eric's total income would be;

$1400 plus $100 times the number of fish tanks he sells.

and Nancy's total income would be;

$500 plus $250 times the number of fish tanks she sells.

Therefore, the variable x represents the number of fish tanks he/she sells.

The number of fish tanks each of them sells will determine the total commission and also determines their total income.

If the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

As given in the question,

Side mirror of a small pick up truck is similar to larger full size pick up truck.

Smaller truck has rectangular side mirror

Width = 5.0 in.

Height = 6.0 in.

Larger mirror

Width = 10.0 in.

Let h be the height of the larger mirror

Both the mirrors are similar and rectangular in shape.

Hence, sides are in proportion

5 /6 = 10 /h

⇒h = (6 ×10) / 5

⇒ h = 12 in.

Therefore, if the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

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Answer:

80.58

Step-by-step explanation:

do you need an explanation or will this be fine?

Question 1:

Each of these options can be read as "8 to 15", except for 15:8. This is read as "fifteen to eight". Lets say in 8:15 you have 8 of a and 15 of b. In 15:8, however, you have 15 of a and 8 of b. These are not the same ratio.

Question 2:

The amount of people that can go down the slide in 1 minute is 6, because 18/3 = 6. So:

12/6 = 2
6ppl/1min (multiply both terms by 2)
12ppl/2min

It would take 12 people 2 minutes to go down the slide.

(3) The question state that we should explain the relationship between angle ACB and A'C'B' in the given diagram.

From the the diagram in the question, we can see that wa have two different triangle which are ABC and A'B'C'.

The relationship between angle ACB and angle A'C'B' is that they are corresponding angles. because they are on the same side of the line.

Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a trasnsversal and on the same side of the transversal.

Therefore, the relationship between angle ACB and angle A'C'B' is that they are corresponding angles.

Answer:  The average rate of change is 1.

Step-by-step explanation:

The average rate of change f(x) on the interval [a,b] is (f(b)−f(a))/(b−a)

a=−2 , b=2, f(x)=4X^2+x+3.

(f(b)-f(a))/(b-a)= (3+(2)+4(2)^2-(3+(-2)+4(-2)^2)) / (2-(-2)) = 1

The amount of space taken by 39 of these pictures is 117 megabytes.

The unitary approach is a problem-solving process that begins by identifying the value of a single unit and then multiplying that value by the needed value.

Given:

Number of pictures downloaded by Kelly from her cell phone to her computer = 195

Amount of space taken by the pictures = 585 megabytes

Now, an equal amount of space is taken by each picture.

To determine, the megabytes taken by 39 of these pictures.

By the unitary method,

195 pictures = 585 megabytes

39 pictures = ? megabytes

Divide 585 megabytes by the number of pictures 195 and then multiply it by 39.

= (585/195) × 39

= 117 megabytes

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The measures of the angle x in the triangle is 100 degrees

From the question, we have the following parameters that can be used in our computation:

Angles = 34, 46 and x

The sum of angles in a triangle add up to 180 degrees

This is represented as

Sum of angles = 180

Substitute the known values in the above equation

So, we have

34 + 46 + x = 180

Evaluate the like terms in the above equation

So, we have

80 + x = 180

Evaluate the like terms in the above equation

So, we have

x = 100

Hence, the value of x is 100

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Answer: x=5

Step-by-step explanation: Based on the given conditions formulate:: 4+3[tex]x[/tex]x=19

Rearrange variables to the left side of the equation: 3x=19-4

Calculate the sum or difference: 3x=15

Divide both sides of the equation by the coefficient of the variable: x=[tex]15/3[/tex]

Cross out the common factor: x=5

Part A:

Since the population is showing a linear decline, we can express the function P(t) as

Given two points

(1995,24100), and (2005,14800)

Now that we have solved for the slope, we can now solve for the y-intercept. We will use the point (2005,14800), but using (1995,24100) will work just as well.

Convert the function x into a function of time t, then the the function is

Part 2:

What will be the population in 2007.

Substitute t = 2007.

Therefore, in the year 2007, the population will be 12940.

Answer:

2%/100% ×20=

Step-by-step explanation:

from this one of the zeros from the hundred would cancel the zero from 20 which will give you 2/10×2 and mind you percentage cancel percentage. from this 2 will cancel 10 leaving the answer 2 over 5

Step 1

Given;

Step 2

The confidence interval is given as follows;

The test statistic for a 95% confidence interval with α = 0.05, the degrees of freedom, df= n-1 = 381-1=380

Answer;

we have the following:

standard form

Therefore:

A = 0

B = 5

C = -8

Answer:

He should use a 375% zoom to create a 30-inch wide poster.

Step-by-step explanation:

30/8 = 3.75, and 8*3.75=30. So 375%.

Mark as brainliest please.

The volume of a rectangular prism can be calculated with the following formula:

Where "l" is the length, "w" is the width and "h" is the height.

In this case, you can set up that:

The error interval for the combined mass (m) of the car and the person is 2047.7 ≤ m < 2049.7

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

The error interval for the mass of car is given by:

Mass of car = 1990 ± 0.5;

Mass of car = 1990 + 0.5 = 1990.5

Mass of car = 1990 - 0.5 = 1989.5

The error interval for the mass of a person is given by:

b = 1990 ± 0.5;

b = 58.7 + 0.5 = 59.2

b = 58.7 - 0.5 = 58.2

For the value of a and b, we have:

a = 1989.5 + 58.2 = 2047.7

b = 1990.5 + 59.2 = 2049.7

Next, we would calculate the combined mass (m):

m = 1990 + 58.7

m = 2048.7

Now, we can write the error interval for the combined mass (m) of the car and the person as follows:

a ≤ m < b

2047.7 ≤ m < 2049.7

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Explanation

An absolute maximum point is a point where the function obtains its greatest possible value.

Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Step 1

check the graph of g:

The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function

so, for G

Step 2

Now, for h

I hope this helps you

we have those angles must measure the same so

so x=39

y=-13

Step-by-step explanation:

2y+6=y-7

2y+6-6=y-7-6

2y=y-13

2y-y=y-13-y

y=-13

The value after solving the given expression will be equal to -13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given expression in the question is,

2y + 6 = y - 7

Rearrange the equation,

2y - y = -7 - 6

y = -13

Therefore, the obtained value for y will be -13.

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Lets assume that the input values are x values and the output values are y values.

Then you will have pairs of coordinate values as shown;

(-1,7) , (0,2) , (1,-3) , (2,-8), (3,-13), (4,-18)

Using the coordinates find the slope a;

(-1,7) and (0,2) ---------slope is change in y-values/ change in x-values , (2-7) /(0--1)

= -5/ 1 = -5

Do the same for the next pair of coordinates ,(0,2) and (1,-3) , (-3-2) / (1-0) = -5/1 = -5

If you continue the procedure to the next pair which is (1,-3) and (2,-8) to get the slope as : (-8- -3) / (2-1) = -5/1 = -5

This means that the slope is -5

The relation will be represented by the equation y= mx + c where m is the slope and c is the y-intercept

First plot the points to visualize the graph

From the plot, you notice that when the points are joined, a straight graph is formed sloping to the negative side and intersecting the y-axis at point (0,2).

So to determine the rule, we apply the equation y= mx + c with m= -5 and c =2

This gives y= -5 x + 2

The rule is f(x) = -5x +2 -----------answer

Answer: Standard Deviation, σ: 0.23979157616564

Count, N: 8

Sum, Σx: 33.6

Mean, μ: 4.2

Variance, σ2:  0.0575

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(4.5 - 4.2)2 + ... + (4.1 - 4.2)2

8

=  

0.46

8

=  0.0575

σ =  √0.0575

=  0.23979157616564

Step-by-step explanation: but here

it isnt letting me do the fraction or the other things so yeah it will look wrong but its write for the entire graph

Given:

The sum of measures of A and B is 90°

so, we have the following equation:

And, A is 30° less than twice B

so, we have the following equation:

Solving the equations (1) and (2)

Substitute with A from equation (2) into equation (1)

Substitute with B into equation (2) to find A:

So, the answer will be:

The measure of angle A = 50

The measure of angle B = 40