The sum of -9 and 18/2

Answer:

simultaneous equations are used to solve for 2 variable

Answer:

42+56+7.5h ≤ 300

≤ means less than or equal to and Julie does not want to go over 300 so this would be the correct symbol to use

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

In interval notation, we express this solution as (22/21, ∞), where the parentheses indicate that 22/21 is not included in the solution set, and the infinity symbol (∞) indicates that the values can go to positive infinity.

To express the inequality 7 - 6x > -15 + 15x in interval notation, we need to determine the range of values for which the inequality is true. Let's solve the inequality step by step:

1. Start with the given inequality: 7 - 6x > -15 + 15x.

2. To simplify the inequality, we can combine like terms on each side of the inequality. We'll add 6x to both sides and subtract 7 from both sides:

  7 - 6x + 6x > -15 + 15x + 6x.

  This simplifies to:

  7 > -15 + 21x.

3. Next, we combine the constant terms on the right side of the inequality:

  7 > -15 + 21x can be rewritten as:

  7 > 21x - 15.

4. Now, let's isolate the variable on one side of the inequality. We'll add 15 to both sides:

  7 + 15 > 21x - 15 + 15.

  Simplifying further: 22 > 21x.

5. Finally, divide both sides of the inequality by 21 (the coefficient of x) to solve for x: 22/21 > x.

6. The solution is x > 22/21.

7. Now, let's express this solution in interval notation:

  - The inequality x > 22/21 indicates that x is greater than 22/21.

  - In interval notation, we use parentheses to indicate that the endpoint is not included in the solution set. Since x cannot be equal to 22/21, we use a parenthesis at the endpoint.

  - Therefore, the interval notation for the solution is (22/21, ∞), where ∞ represents positive infinity.

  - This means that any value of x greater than 22/21 will satisfy the original inequality 7 - 6x > -15 + 15x.

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We get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”

We are given a diagram.

We need to name the angles.

∠5 can be written as ∠ HDC

∠ 3 can be written as ∠ GDE

Vertex of ∠ 2 is D

Therefore, we get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

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Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

Answer:

Jennifer will need to save 35$ for 2 weeks.

Answer:

B

Step-by-step explanation:

The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s).  Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.

It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.

By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.

Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.

It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.

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The depth d of the crater is 714.07 meters for the given figure.

As per the shown figure, we have

∠D = 55°

∠C = 90°

∠B = 35°

Side CD = 500m

To find the value of BC, we can use the trigonometric ratios in a right triangle.

Since we have ∠D = 55°, we can use the tangent ratio:

tan(∠B) = BC / CD

Substituting the given values, we have:

tan(55°) = d/ 500

To find d, we can rearrange the equation:

d = 500 × tan(55°)

Using a calculator, we can calculate the value of tan(35°) and multiply it by 500 to find d.

d ≈ 500 x 1.428 ≈ 714.07

Therefore, the value of d is approximately 714.07 meters.

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Answer:

20

Step-by-step explanation:

i got it right on a quiz

Height of a can is equal to \(\boldsymbol{6.99\,cm}\).

Surface area of a cylinder \(=\pi r^2h\) where \(r,h\) denote radius, height of a cylinder respectively.

Surface area of a can \(=1406.72 \,cm^2\)

Radius of a can \(=8 \,cm\)

\(1406.72=\frac{22}{7}(8)^2h\)

         \(h=6.99\,cm\)

Therefore, height of a can is equal to \(\boldsymbol{6.99\,cm}\)

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Answer:

Side length of each booth is 8.35 ft approximately.

Step-by-step explanation:

There are 11 companies set up equal sized square booths in a row along one wall of a convention center.

Now, refer the diagram to answer the problem.

It is given area is 1200.

So, length x width =1200

(11x+24)(x+2)=1200

Multiply using FOIL method.

\(11x^{2}\)+22x+24x+48=1200

\(11x^{2}\)+46x+48-1200=0

\(11x^{2}\)+46x-1152=0

Solve using quadratic formula

x=\(\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}\)

x=\(\frac{-46+/-\sqrt{2116+50688} }{22}\)

x=\(\frac{-46+/-\sqrt{52804} }{22}\)

Simplify it

\(x=\frac{-49+/- 229.79}{22}\)

Simplify to get two values for x.

x=8.35; x=-12.67

Here negative does not work.

Side length of each booth is 8.35 ft.

Answer:

it is 270 minutes

86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .

For given question,

Let x be the quantity ( in liters ) of 35 percent salt solution added to 20 liters of an 70 percent salt solution so that the resulting solution contains 45 percent salt,

Thus,

Quantity of salt solution in 20 liters + Quantity of salt solution in x

= Quantity of salt solution in resultant mixture.

⇒ 70% of 20 + 35% of x = 45% of (20 + x )

⇒ 14 + (0.35x) = 0.45 × ( 12 + x )

⇒ 14 + 0.35x = 5.4 + 0.45x

⇒ 14 - 5.4 = 0.45x - 0.35x

⇒ 8.6 = 0.10x

⇒ x = 86 liters

Therefore, 86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .

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Answer:

C) 3 chances out of 12

Step-by-step explanation:

Total balls: 5 + 3 + 4 = 12

Number of white balls: 3

Answer is 3/12.

Answer:

-5

Step-by-step explanation:

The coefficient is a numerical value multiplied with a variable.

2 - 5x - 4 + 8

-5x - 4 + 8 + 2

-5x + 6

The number multiplied with x is -5.

-5 is the coefficient.

Answer:

-5x+6

Step-by-step explanation:

Coefficient is -5 and 6,

Answer:

rule: four times longer and four times wider!

Step-by-step explanation:

since the length of figure Q is 4 times than figure P the width of figure Q is 4 times than figure P. so the figure p is enlarged by 4 times in all.

so the rule is stretching four times in length and in width!

The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

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Answer:

Step-by-step explanation:

73

Answer: hmm  i don't know

Step-by-step explanation:

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

The appropriate level of precision for the scale depends on the smallest unit of measurement it can accurately determine. In this case, the scale measures weight to the nearest 0.5 lb.

A. 140 lbs. : This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision. B. 148.75 lbs.: This measurement includes decimal places that the scale cannot accurately determine. It exceeds the precision of the scale and does not show an appropriate level of precision. C. 140.5 lbs: This measurement falls within the precision of the scale. It accounts for the nearest 0.5 lb increment and shows an appropriate level of precision. D. 141 lbs: This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision.

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Answer:

(1) y = 64(1 - .5)^3

Step-by-step explanation:

(1) y = 64(1 - .5)^3

If you are eliminated half, then you are removing 50% or .5 of the teams. The number of teams is getting smaller, so eliminate the choices with "+". The exponent refers to the number of rounds.

This is an easy one to check: 64, 32, 16, 8. There are 8 teams after three rounds.

y=64(1 - .5)^3

y= 64(.5)^3

y= 64(.125)

y= 8

The expression obtained by simplifying using exponent rules is  \({2^{-1}*3^{-1}*1^{5} }\).

What are exponent rules?

Exponent rules, often known as the "laws of exponents" or the "properties of exponents," make it easier to simplify equations based on exponents. By following these rules, expressions with exponents that are decimals, fractions, irrational numbers, or negative integers can be made simpler.

We are given an expression as \(\frac{2^{3}*3^{-4}*1^{5}* 2^{-4} }{3^{2} *2^{0} *3^{-5} }\).

Now, we know that in multiplication, exponents having same base are added.

So, we get

⇒ \(\frac{2^{3 + (-4}*3^{-4}*1^{5} }{3^{2 + (-5)} *2^{0} }\)

⇒ \(\frac{2^{-1}*3^{-4}*1^{5} }{3^{-3} *2^{0} }\)

Also, when dividing, exponents having same base are subtracted.

So, we get

⇒ \({2^{-1-0}*3^{-4-(-3)}*1^{5} }\)

⇒ \({2^{-1}*3^{-1}*1^{5} }\)

Hence, the expression obtained by simplifying using exponent rules is  \({2^{-1}*3^{-1}*1^{5} }\).

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The answer of the given question based on the speed is the tip of the man's shadow is moving away from him at a rate of 1.6 feet per second when he is 21 feet from the pole.

Distance is the measure of the amount of space between two points. It is a scalar quantity, which means it has only magnitude and no direction. Distance can be measured using different units like meters, kilometers, miles, feet, etc.

Let's call the distance between the man and the base of the pole "x". We know that the height of the pole is 20 feet and the height of the man is 6 feet. Therefore, the length of the man's shadow is (20+6) = 26 feet.

We can set up a proportion to relate the length of the man's shadow to his distance from the pole:

(Length of shadow) / (Distance from pole) = (Height of pole) / (Distance from pole + Height of man)

Or, in equation form:

26 / (x + 21) = 20 / x

To solve for x, we can cross-multiply and simplify:

26x = 20(x + 21)

26x = 20x + 420

6x = 420

x = 70

So when the man is 21 feet from the pole, the distance between the base of the pole and the man is x+21 = 91 feet.

we can set up the following proportion:

(Length of shadow) / (Distance from pole) = (Length of shadow + Rate of change of shadow * Time) / (Distance from pole + Rate of change of distance * Time)

Plugging in values  ,we will get:

26 / 91 = (26 + ut) / (91 + 5.4t)

Now we can solve for u by differentiating both sides of the equation with respect to time:

(d/dt)(26/91) = (d/dt)((26+ut)/(91+5.4t))

0 = u/(91+5.4t) - (26+ut)/(91+5.4*t)² * 5.4

Simplifying and solving for u, we get:

u = -265.4/(91+5.4t) + 5.4²t/(91+5.4t)

Now we can plug in t = 0 (when the man is 21 feet from the pole) to get the instantaneous rate of change of the length of his shadow:

u = -265.4/91 + 5.4²⁰/⁹¹

u = -1.6

Therefore, the tip of the man's shadow is moving away from him at a rate of 1.6 feet per second when he is 21 feet from the pole.

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The tip of the man's shadow is moving at a rate of 18 ft/sec when he is 21 ft from the pole.

what is the triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Let's call the distance between the man and the base of the pole "x", and the length of his shadow "y". We want to find the rate of change of y with respect to time (dy/dt) when x = 21 ft.

we can see that the triangles formed by the man, the pole, and the tip of the shadow are similar. This means that the ratio of the lengths of the corresponding sides is constant:

y / (20 + 6) = y / 26 = (y - h) / 20

where h is the height of the man's head above the ground (which we can ignore for this problem).

Simplifying this equation, we get:

y = (20/6) * (y - h)

y = (10/3) * (y - h)

3y = 10y - 10h

10h = 7y

h = (7/10) * y

Now we can use the chain rule to find dy/dt:

y^2 = x * (x + y)

Differentiating both sides with respect to time, we get:

2y * (dy/dt) = (dx/dt) * (x + y) + x * (dy/dt)

Plugging in the values we know:

y = (7/10) * ym (where ym is the height of the man's head)

x = 21 ft

dx/dt = 5.4 ft/sec

We can solve for dy/dt:

2y * (dy/dt) = (5.4) * (21 + y) + 21 * (dy/dt)

2y * (dy/dt - dy/dt/3) = (5.4) * 21

dy/dt = (5.4) * 21 / (2y - y/3)

At x = 21 ft, y = (10/3) * (21 - 6) = 50/3 ft.

Substituting this value, we get:

dy/dt = (5.4) * 21 / (2(50/3) - (50/3)/3) = 18 ft/sec

Therefore, the tip of the man's shadow is moving at a rate of 18 ft/sec when he is 21 ft from the pole.

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Answer:

4.5=x*t

EX x=1,t=4.5

Step-by-step explanation:

4+5=2(xt1)

9=2(xt1)

4.5=x*t

Answer:

A.

Step-by-step explanation:

Step 1: Factor out GCF

-2x(x² + 7x + 6)

Step 2: Factor quadratic

-2x(x + 1)(x + 6)

So A is our answer.

Answer:b

Step-by-step explanation:

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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