What does it mean to eliminate a variable?

Answer:

1: a

2: a

3: a

4: b

Step-by-step explanation:

a right triangle means the pythagorean theorem applies

a^2 + b^2 = c^2

is true for the triange

a and b are the two shorter sides and c is the long side

test with values to see if true

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

true, it is a right triangle

3 root^2 + 8 root^2 = 11 root^2

3 + 8 = 11

11=11

true, it is a right triangle

3^2+ 10 root^2 = 19 root^2

9 + 10 = 19

19=19

true, it is a right triangle

3^2 + 5^2 = 6^2

9+25= 36

34= 36

false not a right triangle

i hope this helps

Answer:

Step-by-step explanation:

A number y decreased by 9 is 8 .

An equation that represents this sentence is :

\(y - 9 = 8\)

Answer:

1+7i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

The quadratic regression equation that best fits the data set is \(y = -1.62x^2 + 34.89x - 5.57.\)

To determine which quadratic regression equation best fits the data set, we can use a graphing calculator or other technology to perform a quadratic regression analysis on the given data.

Using a graphing calculator, we can enter the data set as follows:

Press the STAT button.

Press ENTER to select 1:Edit.

Enter the x-values in L1 and the y-values in L2.

Press STAT again and choose CALC.

Choose option 5:QuadReg.

Press ENTER to select the regression equation.

The calculator will display the quadratic regression equation in the form y = \(ax^2 + bx + c.\)

After performing the quadratic regression analysis, we get the following equation:

y = \(-1.62x^2 + 34.89x - 5.57\)

Therefore, the quadratic regression equation that best fits the data set is \(y = -1.62x^2 + 34.89x - 5.57.\)

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Full Question: Use a graphing calculator or other technology to answer the question. 4.5 122 Which quadratic regression equation best fits the data set? 6.2 145 7.0 155 8.9 189 O Û = 1.62x2 + 34.89x +5.57 10.1 171 © = -5.5722 + 34.89x – 1.62 14.8 170 O Û = -1.62x2 + 34.89x 15.7 133 © y = -1.62x2 + 34.893 – 5.57

The function for the garden's perimeter in terms of the width "w" would be P(w) = 4w + 24

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the width of the rectangular garden "w".

According to the problem, the length of the garden is 12 feet longer than its width. So, the length would be w + 12.

The perimeter is the sum of all four sides of the rectangular garden. So,

Perimeter = w + w + (w + 12) + (w + 12)

Simplifying this expression, we get:

Perimeter = 4w + 24

Therefore, the function for the garden's perimeter in terms of the width "w" would be P(w) = 4w + 24.

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Answer:

  6         6         6

____  ____  ____

Answer:

Step-by-step explanation:

we need the formula for circumference.  Know it?

2 * pi * r = circ

so if the radius is 7 ,  plug that in for r

2pi*7= circ

14pi=circ

The x-coordinate of the vertex of the parabola y = 3x^2 + 9x is -3/2 or -1.5.

To find the x-coordinate of the vertex of the parabola given by the equation y = 3x^2 + 9x, we can use the vertex formula. The vertex formula states that for a parabola in the form y = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula: x = -b / (2a).

Comparing the given equation, y = 3x^2 + 9x, with the standard form ax^2 + bx + c, we can identify th

x = -9 / (2 * 3)

x = -9 / 6at a = 3 and b = 9.

Substituting these values into the vertex formula, we have:

x = -b / (2a)

x = -3/2 or -1.5

Thus, the x-coordinate of the vertex of the parabola y = 3x^2 + 9x is -3/2 or -1.5.

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The second lawn that Makayla mows has a length of 70 feet.

If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.

A = l x w

Area of first lawn = 10 feet x 7 feet

Area of first lawn = 70 ft^2

If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:

Area of second lawn = 7 x Area of first lawn

Area of second lawn = 7 x 70 ft^2

Area of second lawn = 490 ft^2

If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.

A = l x w

Area of second lawn = l x w

490 ft^2 = l x (7 feet)

l = 70 feet

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The NPV is -$37.65 and the IRR is approximately 11.55%. To calculate the net present value (NPV) and internal rate of return (IRR), we need to consider the cash flows and the discount rate.

Given cash flows:

Year 0: $0

Year 1: -$860

Year 3: $920

Discount rate: 8%

First, let's calculate the present value (PV) of each cash flow using the discount rate:

Year 0: $0 (no cash flow)

Year 1: PV = -$860 / (1 + 0.08)^1 = -$796.30

Year 3: PV = $920 / (1 + 0.08)^3 = $758.65

Now we can calculate the NPV by summing up the present values of all cash flows:

NPV = PV(year 1) + PV(year 3)

= -$796.30 + $758.65

= -$37.65

The NPV is -$37.65.

To calculate the IRR, we need to find the discount rate that makes the NPV equal to zero. In this case, we can use the trial and error method or utilize financial software or calculators to find the IRR. Let's assume the IRR is r%.

Using the cash flows and the IRR:

Year 0: $0

Year 1: -$860

Year 3: $920

Setting the NPV equal to zero:

0 = PV(year 1) + PV(year 3)

\(0 = -$860 / (1 + r)^1 + $920 / (1 + r)^3\)

Solving this equation for r gives us the IRR. However, solving this equation analytically can be complex, so it's better to use financial software or calculators.

Using a financial calculator or software, the IRR for these cash flows can be calculated as approximately 11.55%.

Therefore, the NPV is -$37.65 and the IRR is approximately 11.55%.

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We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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Answer: 29.5735 is 1 ounces in ml

There is 0.0338 ounces in 1 ml (Using Units).

What are units?

Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same.  Different units can be classified depending on their use.

There are two type of units

1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are

Length (meter, m)

Mass (kilogram, kg)

Time (second, s)

Temperature (kelvin, K)

Amount of substance (mole, mole)

Electric current (ampere, A)

Luminous intensity (candela, cd)

2. Derived units:These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.

Examples:

Velocity (m/s)

Acceleration (m/s2)

Momentum (kg-m/s)

Force (N)

Density (kg/m3)

Heat (J)

Energy (J)

Power (W), etc.

Now, To change 1ml to ounces

divide 1ml by 29.574 this will give us value in ounces

Therefore, 1ml/29.574= 0.0338 ounces

hence,

           There is 0.0338 ounces in 1 ml.

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__________

\( \: \)

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

\( \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} \)

\( \longmapsto \frac{2}{ - 1} \)

\( \longmapsto \boxed{ \bold{ \red{ - 2}}}\)

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

The exact percentage of roses purchased on Valentine's Day that are red are 60% to 80% or even higher.

can vary depending on various factors such as location, personal preferences, and cultural traditions. However, it is generally observed that red roses are the most popular and commonly associated with Valentine's Day, symbolizing love and romance.

It is estimated that a significant majority of roses purchased on Valentine's Day are red, often ranging from 60% to 80% or even higher. This high percentage is due to the traditional symbolism and cultural significance attached to red roses as a romantic gift.

However, it's important to note that individual preferences may vary, and some people may choose different colored roses or alternative flowers to express their feelings on Valentine's Day.

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Percentage of bags that weigh more than 9.25 ounces is 19.3%.

Given:

Mean μ = 9.12

standard deviation σ = 0.15

z = x - μ / σ

= 9.25 - 9.12 / 0.15

= 0.13/0.15

= 0.867

P(x>Z)  = 0.193

= 0.193/100

= 19.3%

Therefore Percentage of bags that weigh more than 9.25 ounces is 19.3%.

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The correct option regarding the linear regression equation is:

No, the equation is not a good fit because the sum of the residuals is a large number.

To find the equation, we need to insert the points (x,y) in the calculator.

In possession of the equation, the residuals are given by the difference of the predicted values(with the equation) and the actual values.

The model represents a good fit if the sum of the residuals is close to 0.

For this problem, the sum of the residuals is given by:

90 - 50  - 100 - 100 + 150 - 50 = -60.

The sum is a large number, hence the model is not a good fit.

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Answer:

h = 41.25 foot

Step-by-step explanation:

Given that,

Height of a street light = 7.5 feet

It casts a 3-foot-long shadow.

A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :

\(\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot\)

So, the height of the flag pole is equal to 41.25 foot.

The height of the flag pole is 41.25 feet tall.

Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.

From the parameters given:

Let the height of the flag pole be = x

∴

To determine the height of the flag pole, we have:

\(\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }\)

x = 41.25 feet tall

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The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.

The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.

The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.

Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.

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The question attached here seems to be incomplete, the complete question is:

Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are:  A. always in the same direction  B. always in opposite directions  C. always perpendicular to each other  D. never perpendicular to each other  E. none of the above

Answer:

7%

Step-by-step explanation:

(15/220) x 100 = 6. 8182 = 7%

to convert to percentage multiply by 100

To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6

Answer:

Slope = 2

Y - intercept = (0, -12)

Step-by-step explanation:

I did the quiz!

Mrs. Slater, who was a greedy woman, wanted to pinch many things.

Slater is a vigorous and plump lady who stays prepared to do any amount of straight talking to get her own way. It is understood that she is very dominating by the way she treats her daughter. She is insensitive too. She does not believe in making any sort of kind gestures or suggestions.

Slater is a vigorous, plump, red-faced and vulgar woman. She is prepared to do any amount of straight-talking to get her way. She is greedy and does not care about her father's death. She is also a miser who does not want to throw away the slippers even if they are small on Henry Slater's feet.

Mrs. Slater, who was a greedy woman, wanted to pinch many things.

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Answer:

UJ

Step-by-step explanation:

The side that is opposite angle E is  UJ

Since this is a triangle, we use the corners that do not touch the angle, U and J and the segment is the one that connects them

1/5 or -1/9 would both be correct

Answer:

I think B

Step-by-step explanation:

plz let me know if i'm wrong tho

Answer:

Y || Z

Step-by-step explanation:

Perpendicular Transversal Theorem

If two lines are perpendicular to the same line, then the two perpendicular lines are parallel.

Answer:

350 miles per week

Step-by-step explanation:

That'd be 70 miles each day for 5 days, or 350 miles per week.

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099