A painter is mixing red and white paint to make a pink color. The ratio of red paint to pink paint is 1:4. What is the ratio
of red paint to white paint?

Answer:

what did you put for question 2 and 3?

Step-by-step explanation:

2.If the values for length and area are plotted, what would the graph look like?

3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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Answer: x<-1

Step-by-step explanation:

The answer is A!

Answer:

See below.

Step-by-step explanation:

Solving the inequality :-

Graph A shows the solution to the inequality correctly

Answer:

HL=10

Step-by-step explanation:

Answer:

x=5   x=3

Step-by-step explanation:

f(x) = x^2 - 8x+ 15

Factor

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

f(x) = (x-5) (x-3)

Setting equal to 0

0= (x-5) (x-3)

Using the zero product property

x-5 =0     x-3=0

x=5   x=3

Answer: 13

Explanation: To find the degree of a monomial, we need to take

the sum of the exponents of all the variables in the monomial.

So the degree of this monomial is 7 + 6 or 13.

So the degree of this monomial is 13.

There are 455 different three-student study groups that can be formed from a class of 15.

This situation involves determining the number of different three-student study groups that can be formed from a class of 15.

To determine whether this situation involves a combination or permutation, we need to consider if the order of selection matters or not, and if repetitions are allowed.

In this case, we are only concerned with forming study groups, and the order of selection does not matter. Additionally, it is assumed that each student can only be selected once for a study group.

Therefore, this situation involves a combination, specifically a combination of 15 students taken 3 at a time.

The formula to calculate the number of combinations is given by:

\(C(n, r) = n! / (r! * (n - r)!),\)

where n is the total number of items to choose from (in this case, the number of students in the class), and r is the number of items being chosen (in this case, the number of students in each study group).

Substituting the values into the formula:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455.

Therefore, there are 455 different three-student study groups that can be formed from a class of 15.

In summary, this situation involves a combination, and the number of different three-student study groups that can be formed from a class of 15 is 455.

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Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

\(y=mx+b\)

where:

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\(\implies 4x+2y=24\)

\(\implies 4x+2y-4x=-4x+24\)

\(\implies 2y=-4x+24\)

\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)

\(\implies y=-2x+12\)

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

The upper quartile, Q3, of the given data set, is 54.

The upper quartile, Q3, is a measure of central tendency that represents the 75th percentile of a given dataset. It divides the data into two halves, with the upper half representing the range of values from Q3 to the maximum value. In order to find the upper quartile, we first need to arrange the data set in ascending order: 18, 23, 27, 30, 31, 35, 38, 42, 46, 49, 53, 54, 57, 61, 66.

Next, we need to determine the position of Q3 in the dataset. Since there are 15 data points in the set, Q3 will be located at the 75th percentile or 11.25th data point. To find the exact value of Q3, we can use the following formula:

Q3 = (0.75 * (n + 1)th term) + (0.25 * (n)th term)

where n is the number of data points in the set. Substituting the values, we get:

Q3 = (0.75 * 16th term) + (0.25 * 15th term)
Q3 = (0.75 * 12) + (0.25 * 11)
Q3 = 9 + 2.75
Q3 = 11.75

Therefore, the upper quartile, Q3, of the given data set is 54.

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the expression g(f(3)) evaluates to 4.

To evaluate the expression g(f(3)), we first need to find the function value f(3) using the given table. After finding f(3), we will use its value as the input for the function g(x) to determine the final answer.
From the table, we can see that when x = 3, f(x) = 8. So, f(3) = 8. Now, we need to find the function value of g(x) when x = 8, which is g(8).
Looking at the table again, we can see that when x = 8, g(x) = 4. Therefore, g(8) = 4.
Now that we have found the function values for both f(3) and g(8), we can evaluate the expression g(f(3)):
g(f(3)) = g(8) = 4.

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Answer:

x = 7

x = -7

Explanation:

x² = 49

\(\bold{x=\sqrt{49},\:x=-\sqrt{49}}\)

√49 = 7

-√49 = -7

x = 7, x = -7

______________________________

______________________________

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

Answer:

1. 0

2. 34

3. 398

4. -350

5. 20

6. 200

7. 48

8. -1000

9. 150

10. -55

Step-by-step explanation:

-2 + 5 - 3

3 - 3 = 0

----------------

2 × 5(9 ÷ 3) + 4

2 × 5(3) + 4

2 × 15 + 4

30 + 4 = 34

------------------

4(25 × 8 ÷ 2) + 3 - 5

4(200 ÷ 2) + 3 - 5

4(100) + 3 - 5

400 + 3 - 5

403 - 5 = 398

------------------

-10 × 20 - 30(5)

-200 - 150 = -350

-----------------

5 × 10 - 30

50 - 30 = 20

----------------

4(50 - 20 ÷ 4) + 20

4(50 - 5) + 20

4(45) + 20

180 + 20 = 200

--------------------

3 × 4(20 ÷ 5)

3 × 4(4)

3 × 16 = 48

----------------

-20(50 × 2) + 5(200)

-20(100) + 1000

-2000 + 1000 = -1000

----------------

20(5) + 70 - 20

100 + 70 - 20

170 - 20 = 150

----------------

-5 + 10(-5)

-5 + -50 = -55

------------------------

The only one I see wrong is "4(50 - 20 ÷ 4) + 20"

I hope this helps!

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

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The standard deviation of the resulting data would be 7. To understand why the standard deviation would be 7, let's consider the effect of multiplying each value in the data set by 1.75.

When we multiply each value by a constant, the mean of the data set is also multiplied by that constant. In this case, since multiplying by 1.75 increases the scale of the data, the mean is also multiplied by 1.75.

Now, the standard deviation measures the dispersion or spread of the data around the mean. When we multiply each value by 1.75, the spread of the data increases because the values are further away from the mean. Since the original standard deviation was 4 and each value is multiplied by 1.75, the resulting standard deviation is 4 * 1.75 = 7.

Therefore, the standard deviation of the resulting data is 7.

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Answer:

(-1.5,-9)

Step-by-step explanation:

Answer:

(-1.5, -9)

Step-by-step explanation:

The y will become the opposite if flipping over the x-axis.

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

So, (A) The fraction of the animals is chickens: 52/80

Simplest form: 13/20

(B) In decimal form: 0.65

Therefore, the fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

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Answer:

\(\frac{7}{16}\)

Step-by-step explanation:

\(\frac{7}{8}\) x \(\frac{1}{2}\) = \(\frac{7}{16}\)

7 x 1 = 7

8 x 2 = 16

Let me know if this helps!

Answer:

Step-by-step explanation:

(x+1)(x-3)(x-4) = (x+1)(x²-7x+12) = x³-6x²+5x+12

:::::

(x+3)(x-0)(x-0)(x-5) = (x+3)(x²)(x-5) = (x²-2x-15)x² = x⁴-2x³-15x²

:::::

(x+2)³ = x³ + 3·x²·2 + 3·x·2² + 2³ = x³ + 6x² + 12x + 8

:::::

(x+3)²(x+1) = (x²+6x+9)(x+1) =  x³ + 7x² + 15x + 9

Answer:

$3.60

Step-by-step explanation:

Convert the percentage to a decimal.

2% = 0.02

Multiply the cost of the dress by the decimal to find the sales tax.

$180 × 0.02 = $3.60

The sales tax $3.60.

Answer:

3.60

Step-by-step explanation:

sales tax = cost * tax rate

                = 180 * 2%

                 = 180 * .02

                 =3.60

Answer:

x= 3.2

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

-5 x 6 = -30

-5 + (6) = 1

x2 + 1x - 30 = 0

(X - 5 ) (X + 6)

To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:

x2 + 1x - 30 = (X - 5 ) (X + 6)

Answer:98

Step-by-step explanation:

Ap3x

Answer:

its 270, just for clarification.

Step-by-step explanation:

To find the angle θ of the net force at time t = 6.87 s, we need to first find the x and y components of the net force, and then use the inverse tangent function to find the angle.

The x component of the net force is given by:

Fₙₑₜ,ₓ = m aₓ = (8.50 kg)(0.43 m/s² + 0.79 m/s³(6.87 s)) = 3.63 N

The y component of the net force is given by:

Fₙₑₜ,ᵧ = m aᵧ = (8.50 kg)(11.9 m/s² - 0.63 m/s³(6.87 s)) = 92.52 N

The magnitude of the net force is given by:

|Fₙₑₜ| = sqrt(Fₙₑₜ,ₓ² + Fₙₑₜ,ᵧ²) = sqrt(3.63² + 92.52²) = 92.67 N

The angle θ of the net force is given by:

θ = tan⁻¹(Fₙₑₜ,ᵧ / Fₙₑₜ,ₓ) = tan⁻¹(92.52 N / 3.63 N) = 86.5°Therefore, the angle θ of the net force at time t = 6.87 s is approximately 86.5° counter-clockwise from the +x-axis.

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Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

\(an = 900 \times {f}^{n - 1} \)

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

= 900×(1-3.065804612) / (-0.09) =

= 900×(-2.065804612) / (-0.09) = 20,658.04612

.

The given function is y = -3cos(5x). The amplitude of the function is 3, and the period is 2π/5. By keeping the Cosine function in mind , Solution is as follows:

In a cosine function of the form y = Acos(Bx), where A represents the amplitude and B represents the frequency, the amplitude is the absolute value of A and determines the maximum distance from the mean value of the function. In this case, the amplitude is 3, since the absolute value of -3 is 3.The period of a cosine function is the distance it takes for the function to complete one full cycle. The period can be calculated using the formula T = 2π/B, where B represents the coefficient of x in the function. In this case, the coefficient of x is 5, so the period is 2π/5. To sketch the graph of the function, start by marking the amplitude on the y-axis, which is 3 units above and below the mean value (y = 0). Then, divide the x-axis into equal intervals based on the period of 2π/5. Plot points on the graph by evaluating the cosine function at these intervals and connect them smoothly to form a periodic waveform that oscillates around the x-axis. The graph will repeat itself every 2π/5 units horizontally, and its maximum and minimum values will be ±3 units from the x-axis.

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Answer:

5'6 and 5'0

Step-by-step explanation:

Put the graph in order of dots

4'11- 1

5'1- 1

5'3- 1

5'6- 1

5'0- 2

5'2- 2

5'5- 2

5'4- 5

The middle values are 5'6 and 5'0, so that should be the answer.

Answer:

136.6 m per second squared

Step-by-step explanation:

acceleration = change in velocity×time

= 26.8×5.1

=136.6 m per sec squared