pls help i have no idea what it could be someone needss to help meeeeee.

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

43 cm^2

Step-by-step explanation:

Area of the triangle:

A = (1/2) x base x height

A = (1/2) x (2 cm + 4 cm) x 7 cm

A = (1/2) x (6 cm) x 7 cm

A = (1/2) x 42 cm^2

A = 21 cm^2

The area of the triangle is 21 cm^2

Area of the rectangle:

A = length x width

A = 11 cm x 2 cm

A = 22 cm^2

The area of the rectangle is 22 cm^2

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = 21 cm^2 + 22 cm^2

Area of the figure = 43 cm^2

Answer:24

Step-by-step explanation:

Given

The line passes through (1, 5) and (-2, 14).

To write the equation in slope intercept form.

Explanation:

It is given that,

The line passes through (1, 5) and (-2, 14).

The slope intercept form of the line is given by,

Since the line passes through (1,5) and (-2,14).

Then, the equation of the line is,

Hence, the answer is D) y= -3x+8.

9514 1404 393

Answer:

  (c)  [-2, 7]

Step-by-step explanation:

We can solve the inequality for an expression in x.

  2|5 -2x| -3 ≤ 15

  2|5 -2x| ≤ 18 . . . . . . add 3

 |5 -2x| ≤ 9 . . . . . . . . divide by 2

We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)

  |2x -5| ≤ 9

Now, we can "unfold" this to get the compound inequality ...

  -9 ≤ 2x -5 ≤ 9

  -4 ≤ 2x ≤ 14 . . . . . add 5

  -2 ≤ x ≤ 7 . . . . . . . divide by 2

The solution interval is [-2, 7].

__

The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

$1050

Step-by-step explanation:

I = PRT / 100

I = 21

P = ?

R = 4%

T = 6 months = 0.5 yr

P = 100I / RT

P = (100 * 21) / (4 * 0.5)

P = $1050

The solution is Marginal cost is  (1200 - 1000) / (30 - 20) = 12.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

In order to calculate marginal cost, producers must compare the difference of producing one unit to the cost of producing the next unit

Marginal cost is the change in total cost as a result of increasing output produced by one unit.  

For example, if the total cost of producing 20 units of a good is 1000 and the total cost of producing 30units is 1200.

Marginal cost is  (1200 - 1000) / (30 - 20) = 12

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The number of chickens on the farm will be 180.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On my chicken farm where I have 24 pens, the pens were a bit crowded.

So I built 6 more pens, then

The total number of pens in the farm = 24 + 6 = 30

6 chickens in each pen

So, 6 x 30 = 180 chickens.

Hence, The number of chickens on the farm will be 180.

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The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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Answer:

Yes, the correct answer is $6.50..

Step-by-step explanation:

Stacy earns $6.5 per hour.

Multiplication is the process of adding a number up to a given number.

Given that Stacy worked 6 hours each day for 6 days

The total number of hours Stacy worked is 6×6=36 hours

Therefore, Stacy earned $234 for 36 hours

$234 = 36 hours

$234/36 = 1 hour

$6.5 = 1 hour

Hence, Stacy earns $6.5 per hour.

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The mathematical sentence can be written as:

x^3 = y^5

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

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Answer:

3x + 4>22 or x>6

Step-by-step explanation:

four more = +4

three times a number = 3(x)

greater than twenty two = >22

so

3x + 4 > 22

that's the equation now if it were to be solved

3x + 4 > 22

     -4     -4

3x > 18

/3    /3

x > 6

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

7

Step-by-step explanation:

Answer:

m=7

Step-by-step explanation:

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The answer is -24. You can check by substituting.

You can simplify the equation to 1/3x + 8 = 1/6x + 4.

1/3(-24) + 8 = -8 + 8 which is 0.

1/6(-24) + 4 = -4 + 4 which is 0.

0 = 0 is a true statement.

Substitution means replacing the variables (letters) in an algebraic expression with their numerical values. We can then work out the total value of the expression.

If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Image by Caroline Kulczycky. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!

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Answer:

(a) (C) No. The probability of drawing a specific second card depends on the identity of the first card.

(b)\(\dfrac{4}{663}\)

(c)\(\dfrac{4}{663}\)

(d)\(\dfrac{8}{663}\)

Step-by-step explanation:

(a)The outcomes on the two cards are not independent because since the cards are drawn without replacement, the probability of drawing a specific second card depends on the identity of the first card.

(b)P(ace on 1st card and jack on 2nd).

Number of Ace = 4

Number of Jack = 4

P(ace on 1st card and jack on 2nd)

\(=\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}\)

(c) P(jack on 1st card and ace on 2nd).

Number of Ace = 4

Number of Jack = 4

\(=\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}\)

(d) Probability of drawing an ace and a jack in either order.

=P(Ace and Jack) Or P(Jack and Ace)

=P(Ace and Jack) + P(Jack and Ace)

\(=\dfrac{4}{52} \times \dfrac{4}{51}+\dfrac{4}{52} \times \dfrac{4}{51}\\=\dfrac{4}{663}+\dfrac{4}{663}\\=\dfrac{8}{663}\)

Answer:

0.32

Step-by-step explanation:

Given that:

The sample size of the population = 63

The sample mean = 3.7

The sample standard deviation = 0.32

Thus, the point estimate for the population variance of the diameter of the cans is said to be the standard deviation of the population = 0.32

Suppose the variance (S²) is given as 0.32

Then the standard deviation will be \(\sqrt{S^2}\)

=\(\sqrt{0.32}\)

= 0.57

Then, since the sample standard deviation is the point estimate, we would have had 0.57 as the answer.

Given:

At a certain time, a 5 m vertical pole casts 2 m shadow.

Required:

What is the angle of elevation of the sun?

Explanation:

We will first draw the figure

We will use trigonometric ratio:

Now,

Answer:

Hence, answer is above.

Answer:

The height of triangle is 12cm.

The base of triangle is 25 cm.

The area of triangle is 150cm².

Step-by-step explanation:

Given that the area of triangle is Area = 1/2×base×height. So you have to substitute the values into the formula :

\(area = \frac{1}{2} \times base \times height\)

\(let \: base = 25 \\ let \: height = 12\)

\(area = \frac{1}{2} \times 25 \times 12\)

\(area = \frac{1}{2} \times 300\)

\(area = 150 \: {cm}^{2} \)

The rational number - 91 / 200 is a number between the decimal numbers - 0.45 and - 0.46.

In this problem we find two decimal numbers, of which we need to find a rational number between these numbers. Please notice that the decimal numbers are also rational numbers. First, we transform each decimal number into rational numbers:

- 0.45 = - 45 / 100

- 0.46 = - 46 / 100

Second, find a possible rational number between the two ends by the midpoint formula:

x = (1 / 2) · (- 45 / 100) + (1 / 2) · (- 46 / 100)

x = - 45 / 200 - 46 / 200

x = - 91 / 200

Then, the rational number - 91 / 200 is a number between - 0.45 and - 0.46.

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Answer:

18.9c - 11.2d + 9.3f

Step-by-step explanation:

First, write the equation as adding all the parentheses together like so:

(9.7c - 1.9d) + (9.2c + 1.1f) + (8.2f - 9.3d)

Remove the parentheses:

9.7c - 1.9d + 9.2c + 1.1f + 8.2f - 9.3d

Collect like terms (9.7c and + 9.2c):

18.9c - 1.9d + 1.1f + 8.2f - 9.3d

Collect like terms again (1.9d and - 9.3d):

18.9c - 11.2d + 1.1f + 8.2f

Collect like terms again (1.1f + 8.2f)

18.9c - 11.2d + 9.3f

Hope this helped!

The parabola's equation is as follows, with the directrix at y = 5 and the focus at (-4, 3). \((x + 4)^2 = 4y - 16\)

A hyperbolic is a U-shaped symmetry curve that is created when a plane and a cone collide. The parabola has the characteristic that the distance between any point on the curve and a fixed point (referred to as the focus) is identical to the distance between that point and a telephone service (called the directrix). Equation y = ax2 + bx + c, at which a, b, and c are constants, gives the conventional form of a parabola. The parabola opens either upwards or downwards depending on the sign of coefficient a. The arc opens upwards if an is positive and downwards if an is negative.

given

A parabola with a vertex at (h, k) and a vertical axis of symmetry has the following standard form equation:

\((x - h)^2 = 4p(y - k) (y - k)\)

where p is the separation between the vertex and the directrix or focus.

In this instance, the vertex's coordinates are (h, k) = since it is located halfway between the focus and directrix (-4, 4). As the directrix is a horizontal line with the coordinates y = 5, the separation between it and the vertex is p = 1.

When we enter these values into the equation in standard form, we obtain:

\((x + 4)^2 = 4(1)(y - 4) (y - 4)\)

If we simplify, we get:

\((x + 4)^2 = 4y - 16\)

The parabola's equation is as follows, with the directrix at y = 5 and the focus at (-4, 3). \((x + 4)^2 = 4y - 16\) .

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Answer:

Let the width of the rectangle be w. Then the length of the rectangle is 5w.

The perimeter of a rectangle is the sum of all four sides. So, the perimeter of the rectangle is 2w+2(5w)=108 cm.

Simplifying the right side of the equation, we get 12w=108 cm.

Dividing both sides of the equation by 12, we get w=9 cm.

Since the width is 9 cm, the length of the rectangle is 5w=5(9)=45 cm.

Therefore, the length of the rectangle is 45 cm and the width is 9 cm.

The length of the arc on the sixth swing is

STEP - BY - STEP EXPLANATION

What to find?

The length of the arc on the sixth swing.

Given:

length of third arc = 18 ft

length of 7t

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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