30% of what is 18? 18 represents what part of the percent proportion? O part O wholeO percent

Answer:

The attached graph represents the system

Step-by-step explanation:

Let us describe the graph of each line

In y < -3x + 5

∵ The sign of inequality without =

∴ The line represents it must be dashed

The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept

∵ y < -3x + 5

∴ m = -3 and b = 5

∴ The direction of the line is to the left and intersect the y-axis at (0, 5)

∴ y < -3x + 5 represented by the green line

∵ The sign of inequality is <, then the shading is under the green line

In y < x + 2

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 1 and b = 2

∴ The direction of the line is to the right and intersect the y-axis at (0, 2)

∴ y < x + 2 represented by the blue line

∵ The sign of inequality is <, then the shading is under the blue line

In y < -1

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 0 and b = -1

∴ The line is horizontal and intersects the y-axis at (0, -1)

∴ y < -1 represented by the red line

∵ The sign of inequality is <, then the shading is under the red line

∵ The shading of the three inequalities is under the lines

∴ The solutions of the system of inequalities lie in the common

   shaded part under the three lines

∴ The attached graph represents the system

The graph was plotted and is attached below.

Inequality is the unequal comparison of numbers or expressions.

Given the inequalities: y < -3x+5, y < x+2, y < -1

Graphing the above inequalities using the geogebra online graphing calculator.

The graph is attached below.

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Answer:

x =2

Step-by-step explanation:

3 = 1/2x + 1/2x + 1/2x

Combine like terms

3 = 3/2 x

Multiply each side by 2/3 to isolate x

3 * 2/3 = 2/3 * 3/2 x

2 =x

Answer:

Step-by-step explanation:

2+1(-1-3)

= 2+1[-(1+3)]

= 2+1(-4)

= 2+(-4)

=-(4-2)

=-2

Answer:

i think it's like this

2-1-3

=-2

Answer:

y = 4x + 3

Step-by-step explanation:

since we know how much he adds daily, we can put it next to 4, since we don't know how long he is going to save money. next you just add 3 as a checkpoint

Answer:

Y=4x+3

Step-by-step explanation:

4x represents the number of days he's added 4 and the 3 represents what he started off with.

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Tan(angle) = opposite/ adjacent

tan(42) = 67/x

x =67/tan(42)

X = 74.411

rounded to nearest tenth : x = 74.4

Answer:

10 + 4i

Step-by-step explanation:

2 sqrt (25) + sqrt (-16) =

2 * 5     + 4i

10 + 4i

Answer:

\(10 + 4i\)

Step-by-step explanation:

Original Equation:

\(2\sqrt{25} + \sqrt{-16}\)

Simplify sqrt(25)

\(2*5+\sqrt{-16}\)

Simplify multiplication

\(10+\sqrt{-16}\)

Split the radical -16 into two, using the identity: \(\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}\)

\(10 + \sqrt{-1}*\sqrt{16}\)

Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number

\(10 + 4i\)

Answer:

it's a because I did this test

Answer:

f(0) = -2.

Step-by-step explanation:

This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0.  Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.

Therefore, the value of the function when x = 0 is: f(0) = -2.

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Answer:

Distance formula =√(x2−x1)2+(y2−y1)2 Here, (x1,y1)=(2,0), (x2,y2)=(2,3). Thus the shortest distance of the point P (2, 3) to the x – axis is 3 units

Answer: 3 units away

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Answer:

  about 1.1%

Step-by-step explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

  moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

2.35 Hamburgers

Step-by-step explanation:

H6.25 + H18.75 = 58.75

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

Answer:

9 is 75% of 12

Step-by-step explanation:

If the unit is changed from feet to inches, the correlation coefficient remains unchanged; equal to 0.89. Option D

We know that the correlation coefficient is the figure that shows the level of association between two variables. If the correlation coefficient is large and positive it means that there is a large degree of association between the variables.

On the other hand, if the value of the correlation coefficient is small then we know that there is only a little association between the variakes. The correlation coefficient would not change even if the units of the measurements change.

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On solving the provided question, we can say that In still water, a family must paddle at a speed of 2.125 miles per hour.

Speed is the amount of distance traveled by an object in one unit of time when it is in motion.

Given that, a family is paddling a boat (with the current). Their average speed in relation to the riverbanks is 2.75 miles per hour. On the way back, they paddle upstream (against the current), moving toward the riverbank at an average speed of 1.5 miles per hour.

Here, Let the family's speed on still water be x and the current's speed be y. Upstream speed is calculated using the formula 1.5 = x - y - - - - (1)

2.75 downstream speed = x + y - - - - (1)

Equations 1 and 2 are solved as follows: 2x = 4.25 and x = 2.125 miles per hour In still water, a family must paddle at a speed of 2.125 miles per hour.

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The measure of the vertex angle of ΔACE is: D. 50°.

The two side lengths of all isosceles triangles are the same and the angles facing these side lengths are congruent.

In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.

Since the isosceles trapezoid ABCDE belongs to isosceles triangle ACE, we can reasonably infer and logically deduce that the measure of angle BDE (∠BDE) is equal to 115 degrees.

∠BDE + ∠BDC = 180° (sum of angles on a straight line).

115° + ∠BDC = 180°

∠BDC = 180° - 115°

∠BDC = 65°

Based on isosceles triangle ACE, we can logically deduce the following congruent angles;

∠BDC ≅ ∠CBD = 65°

Now, we can determine the measure of the vertex angle of ΔACE:

∠BDC + ∠CBD + ∠ACE = 180°

∠ACE = 180° - (∠BDC + ∠CBD)°

∠ACE = 180° - (65 + 65)°

∠ACE = 180° - 130°

∠ACE = 50°.

In conclusion, the two side lengths of all isosceles triangles are typically the same (equal) and the angles facing these side lengths are congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

7.112 x \(10^{-5}\)

Step-by-step explanation:

You need to re-write the number so that it is 1 or larger but less than 10.  To do that, we need to move the decimal 5 spaces to the right.  The actually number is smaller.  The \(10^{-5}\) is telling me how much smaller the number actually is.  To get the number in standard notation I would have to take 7.112 and divide it by 100,000.

Answer:

Solution in photo

Step-by-step explanation:

Answer:

x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution

An Annual is not an example of an agreement.