A mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 8 líters of yellow tint are added to the original mixture.

Answer:

1  i think i looked it up on mathaway

Step-by-step explanation:

1

The time it will take for about a fourth of the original amount of P-32 remain is given as follows:

27 days.

An exponential function is defined as follows:

y = ab^x.

In which:

Considering that the initial amount is of 100, while after one day the amount was of 95, the parameters are given as follows:

a = 100, b = 95/100 = 0.95.

Hence the function for the amount remaining after x days is given as follows:

y = 100(0.95)^x.

One fourth of the amount will be remaining when y = 25, hence:

25 = 100(0.95)^x.

(0.95)^x = 0.25

xlog(0.95) = log(0.25)

x = log(0.25)/log(0.95)

x = 27 days.

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It is a translation of 3 units up and one unit to the left,  then the correct option is D.

For any function y = f(x), we can define:

A vertical translation of N units as:

g(x) =f(x) + N

if N > 0, the translation is up

if N < 0, the translation is down.

A horizontal translation of N units as:

g(x) =f(x + N)

if N > 0, the translation is left

if N < 0, the translation is to the right.

Here we have:

g(x) = f(x + 1) + 3

So we have a translation of 1 unit to the left and 3 units up.

The correct option is d.

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Answer:

=23x−55

Step-by-step explanation:

Let's simplify step-by-step.

4(2x−5)+5(3x−7)

Distribute:

=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)

=8x+−20+15x+−35

Combine Like Terms:

=8x+−20+15x+−35

=(8x+15x)+(−20+−35)

=23x+−55

Answer:

22x-55

pemdas works too i guess

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Given:

Area of each sqaure = 1 square unit

Let's find the total surface area of the net image.

From the image, the total number of squares we have is = 52.

The total surface area will be the total number of squares since each square represents one square unit.qu

We have 52 squares in total.

Therefore, the total surafce area of the rectangular prism is 52 square units.

ANSWER:

B. 52 square units

False.

The range value is not determined by a specific number such as 13 or 14, but rather by the difference between the maximum and minimum values of the variables or measurements in question. The range is a measure of the spread or dispersion of the data and can be used with both discrete and continuous variables. For example, if the maximum value of a variable is 20 and the minimum value is 5, the range would be 20 - 5 = 15. Therefore, the statement that the range value 13 works particularly well for variables with precisely defined upper and lower bounds and that another valid range value is 14, commonly used with measurements of a continuous variable, is false.

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Answer:answer 4

Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The absolute value function is:

Step 1. Function is vertically stretched by a factor of 3:

Step 2. Shifted two units left:

Step 3. Shifted 5 units down:

See attached

Steps are Black → Blue → Green → Red

Step-by-step explanation:

\( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)

\( \frac{3}{4} 36 = 27\)

Answer:

Step-by-step explanation:

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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El costo de la leche dentro de cinco años es 1492.99 colones y el de hace dos años es 416.67 colones, respectivamente.

En este problema vemos una aplicación del interés compuesto como modelo para predecir precios pretéritos y futuros de la leche, cuyo ecuación se describe a continuación:

C' = C · (1 + r / 100)ⁿ      (1)

Donde:

Si sabemos que C = 600, r = 20 y n = 5, entonces el costo de la leche dentro de cinco años es:

C' = 600 · (1 + 20 / 100)⁵

C' = 1492.99

Y si sabemos que C' = 600, r = 20 y n = 2, entonces el costo de la leche de dos años antes es:

600 = C · (1 + 20 / 100)²

C = 416.67

El costo de la leche dentro de cinco años es 1492.99 colones y el de hace dos años es 416.67 colones, respectivamente.

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Answer:

q = \(-\frac{17}{5}\)   or -3.4

Step-by-step explanation:

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  \(\pm 1\)

Denominator: \(\pm 2\)

That means there are only two possible rational roots: \(\pm \frac{1}{2}\)

Try them both by plugging them into the polynomial.

\(2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0\)

Aha!  The negative one-half value does not produce 0

we have the function

Generate the table of values

so

For x=-1

For x=0

For x=1

the table is -2,3,8

therefore

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

12 1/4

Step-by-step explanation:

(7 + X) × 8 - 4 × X = 56

7 + X × 8 - 4 × X = 56

7 + 8X - 4 × X = 56

7 + 8X - 4X = 56

7 + 4X = 56

4X = 56 - 7

X = 49/4

X = 12 1/4

Answer:

the answer is 43-43x

Step-by-step explanation:

I don't know if that was the answer that you where looking for. respond  to my answer if this did or not help you.

The number of order of each aircraft is an illustration of simultaneous equations.

You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

To do this, we make use of the following representations:

From the question, we have the following equations

\(\mathbf{330A + 270B + 240C = 5850}\) ----the number of passengers

\(\mathbf{B + C = 2A}\) --- the relationship between the number of planes

\(\mathbf{250A + 200B + 240C =4950 }\) --- the budget

Make A the subject in \(\mathbf{B + C = 2A}\)

\(\mathbf{A=\frac{1}{2}(B + C)}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{330A + 270B + 240C = 5850}\)

\(\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}\)

\(\mathbf{165B + 165C + 270B + 240C = 5850}\)

\(\mathbf{435B + 405C = 5850}\)

Divide through by 15

\(\mathbf{29B + 27C = 390}\)

Make C the subject

\(\mathbf{C = \frac{390 - 29B}{27}}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{250A + 200B + 240C =4950 }\)

\(\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }\)

\(\mathbf{125B + 125C + 200B + 240C =4950 }\)

\(\mathbf{325B + 365C =4950 }\)

Divide through by 5

\(\mathbf{65B + 73C =990}\)

Substitute \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}\)

Multiply through by 27

\(\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}\)

\(\mathbf{1755B+ 28470 - 2117B =26730}\)

Collect like terms

\(\mathbf{1755B- 2117B =26730 - 28470}\)

\(\mathbf{-362B =-1740}\)

Solve for B

\(\mathbf{B =\frac{1740}{362}}\)

\(\mathbf{B =5}\) --- approximated

Substitute \(\mathbf{B =5}\) in \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{C = \frac{390 - 29 \times 5}{27}}}\)

\(\mathbf{C = \frac{245}{27}}}\)

\(\mathbf{C = 9}\) --- approximated

Recall that: \(\mathbf{A=\frac{1}{2}(B + C)}\)

So, we have:

\(\mathbf{A = \frac{1}{2} \times (5 + 9)}\)

\(\mathbf{A = \frac{1}{2} \times 14}\)

\(\mathbf{A = 7}\)

Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

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Answer:

The question is not complete

Answer:

\(9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}\)