To make a certain color of paint, the ratio of green paint to white paint is 5:2. How many gallons of green paint are required to mix with 14 gallons of white paint?

Answer:

Step-by-step explanation:\(\sqrt{-300}=\sqrt{-1}*\sqrt{300}\\\sqrt{300}=\sqrt{3}*\sqrt{100}=10\sqrt{3} \\\sqrt{-300}=10i\sqrt{3}\)

A) Circle

Correct on Edge 2021

The conic section formed is circle.

"A conic section is a curve obtained as the intersection of the surface of a cone with a plane".

For the given situation,

If a plane intersecting a double-napped cone is perpendicular to the central axis, the conic section formed is circle. Because the slope of the plane is less than the slope of the axis line.

Hence we can conclude that the conic section formed is circle.

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Answer:

The x-intercept is 2, or B.

Step-by-step explanation:

Substitute 0 in for y to solve for X. 5x=10 -> x=2

Answer:

Step-by-step explanation:

5x-2y=10

divide by 10 to make right hand side=1

\(\frac{x}{2} +\frac{y}{-5} =1\)

x-intercept=2

y-intercept=-5

\(\huge\mathfrak\blue{AnSwEr} \)

\( \sf{54 \: km \: = 54000 \: meters}\)

Answer:

Step-by-step explanation:

the last option

Answer:

B) y = 2x - 3

Step-by-step explanation:

We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.

For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).

So, that's our answer. If you need more help, let me know! :)

Answer: B

Step-by-step explanation:

The slope is 2 as it shown rise (2) over run (1)

Y-intercept is -3

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group B, lower values of dots, with lower amounts of dots.

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

130

Step-by-step explanation:

3.8+13.2=17

8x17=136

136-6=130

Answer:

reflection

Step-by-step explanation:

the y values of the points are being multiplied by -1 (aka switching signs) which means that the triangle/points are being reflected by the x-axis

Answer:

This is a reflection across the x-axis.

Answer:

x is 9; angle measure is 27

Step-by-step explanation:

Rules used:

Angles on a straight line add up to 180.

Angles at a point add up to 360.

180 - 27 = 153

That is the magnitude for the angle between the 3x and 27.

180 - (45 + 27) = 108

That is the magnitude of the angle between 27 and 45.

360 - (153 + 27 + 108 + 45)

= 360 - 333

= 27

3x = 27

x = 9

Answer:

R1 = 6 ohm

R2 = 3 ohm

Step-by-step explanation:

check the attached picture for step by step solution

We will determine the surface area as follows:

*First: We determine the area of one of the side faces:

[This is the same area for the other two side faces] and the area of one of the faces is 14 square centimeters.

*Second: We determine the area for the base:

So, the area of the base is 2 square centimeters.

*Third: We determine the total surface area:

So, the total surface area for the pyramid us 44 square centimeters.

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:\(\large\boxed{-15 \frac{3}{4} +4i}\)

Step-by-step explanation:

\((\frac{1}{2} +4i)^2 = (\frac{1}{2} +4i)(\frac{1}{2} +4i)\\\\=\frac{1}{4} +2i+2i+16i^2\\\\=\frac{1}{4} +4i+16i^2\ \ \ \ \ note:\ \ i^2=-1\\\\=\frac{1}{4} +4i-16\\\\=\large\boxed{-15 \frac{3}{4} +4i}\)

Answer:

C

Step-by-step explanation:

\(\left(\dfrac 12 + 4i \right)^2\\\\=\left( \dfrac 12 \right)^2 + 2\cdot \dfrac 12 \cdot 4i+ (4i)^2\\ \\=\dfrac 14 + 4i + 16i^2\\\\=\dfrac{1+16i+64i^2}{4}\\\\=\dfrac{1+16i-64}{4}~~~~~~~~;[i^2 = -1]\\\\=\dfrac 14(16i-63)\\\\=-\dfrac{63}{4} + 4i\\\\=-15 \dfrac 34 +4i\)

Answer:

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

Step-by-step explanation:

We have the following:

x = the speed of the jet in still air.

y = the speed of the wind

we know that the speed is equal to:

v = d / t

therefore the distance would be:

d = v * t

if we replace with the information of the exercise we have:

3 * (x + y) = 1095

3 * (x - y) = 987

we must solve this system of equations, add both equations and we are left:

3 * x + 3 * y = 1095

3 * x - 3 * y = 987

3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987

6 * x = 2082

x = 2082/6 = 347

now to calculate y, we replace:

3 * (347 + y) = 1095

1041 + 3 * y = 1095

3 * y = 1095 - 1041

y = 54/3 = 18

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

Answer:

outliner =211

Step-by-step explanation:

mean =71,84,85,85,91,211  

721 divided by 6= 1216 ( its going to keep on going)

median =3 bc (88-85=3)

mode=85

range=140

mean w/o outliner=102

The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

Add 16.20+ 40+8

Step-by-step explanation: 16+20+40+8= 84

Answer: you forgot attachment

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

I think this is right

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf( - 3 + 6 ) \cdot \frac { 2 } { 2 } \\ \)

Divide 2 by 2 to get 1.

\( \sf \: \left(-3+6\right)\times 1 \)

Add -3 and 6 to get 3.

\( \sf \: 3\times 1 \)

Multiply 3 and 1 to get 3.

\( = \boxed{\boxed{ \bf \: 3}}\)

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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