When the expression 3(n+7) is evaluated for a given value of n the result is 33 what is the value of n

Answer:

V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3

Step-by-step explanation:

hope it will help you dear

you told only formula if you need derevation then say :)

The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

The graph will have two lines which will never intersect

Answer:

7-3

Step-by-step explanation:

Answer:

0 i think

Step-by-step explanation:

hope this helps

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

The Answer is False!

Step-by-step explanation:

A chord is an line segment that has any two points on the circumference as its end-points. A chord always lies inside a circle.

Hope this helps!

Answer:

there is no solution

Step-by-step explanation:

x + y = 6 → (1)

x + y = 4 → (2)

subtract (2) from (1) term by term

(x - x) + (y - y) = 6 - 4

0 + 0 = 2

0 = 2 ← false statement

this false statement indicates the equations have no solution

1. Simplifying the exponent (a⁵a⁹)⁻⁵/a⁻¹⁵ = a⁻⁵⁵

2. Simplifying the exponent  [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = m⁻¹⁰

Exponents are powers to which a number is raised.

1. Given the exponential expression, (a⁵a⁹)⁻⁵/a⁻¹⁵, we desire to simplify the expression. We proceed as follows

Since we have  (a⁵a⁹)⁻⁵/a⁻¹⁵

Using the multiplication law of exponents which is xᵃ x xᵇ = xᵃ⁺ᵇ, the numerator becomes

(a⁵a⁹)⁻⁵/a⁻¹⁵ =  (a⁵⁺⁹)⁻⁵/a⁻¹⁵

=  (a¹⁴)⁻⁵/a⁻¹⁵

Also, using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

 (a¹⁴)⁻⁵/a⁻¹⁵ = (a¹⁴×⁻⁵)/a⁻¹⁵

=  (a⁻⁷⁰)/a⁻¹⁵

Now using the division law of exponents, we have xᵃ/xᵇ = xᵃ⁻ᵇ

So,   (a⁻⁷⁰)/a⁻¹⁵ = a⁻⁷⁰ ⁻⁽⁻¹⁵⁾

= a⁻⁷⁰⁺¹⁵

= a⁻⁵⁵

So, (a⁵a⁹)⁻⁵/a⁻¹⁵ = a⁻⁵⁵

2. Given the exponential expression, [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵, we desire to simplify the expression. We proceed as follows

Since we have [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵

Using the multiplication law of exponents which is xᵃ x xᵇ = xᵃ⁺ᵇ, the numerator becomes

[(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = [(m⁻³⁺⁽⁻⁷⁾)/(m⁻⁴)⁻³]⁵

= [(m⁻³⁻⁷)/(m⁻⁴)⁻³]⁵

= [(m⁻¹⁰)/(m⁻⁴)⁻³]⁵

Also, using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

= [m⁻¹⁰/(m⁻⁴)⁻³]⁵ = [(m⁻¹⁰)/(m⁻⁴×⁽⁻³⁾)]⁵

= [(m⁻¹⁰)/m⁻¹²]⁵

Now using the division law of exponents, we have xᵃ/xᵇ = xᵃ⁻ᵇ

So, [(m⁻¹⁰)/m⁻¹²]⁵ = [m⁻¹⁰ ⁻⁽⁻¹²⁾]⁵

= [m⁻¹⁰⁺¹²]⁵

= [m⁻²]⁵

Using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

[m⁻²]⁵ = m⁻²ˣ⁵

= m⁻¹⁰

So, [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = m⁻¹⁰

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Answer:

\(57\frac{3}{11}\) = c

or

\(57.\overline{27}\) = c

Step-by-step explanation:

We know that the diameter of a circle multiplied by \(\pi\) is the circumference, so we can create this equation:

180 = c * \(\pi\)

Your teacher told us to assume \(\pi\) is 22/7, so we'll put that in

180 = c * \(\frac{22}{7\\}\)

To get c by itself, we divide both sides by 22/7

\(\frac{180}{\frac{22}{7}}\) = c

Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22

180 * \(\frac{7}{22}\) = c

Evaluate

\(\frac{1260}{22}\) = c

\(57\frac{3}{11}\) = c

If you want a decimal instead:

\(57.\overline{27}\) = c

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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Answer:

10/11

Step-by-step explanation:

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

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Answer:

(x,y)=(-2,3)

Step-by-step explanation:

Answer:

slope  = 2

When I was 30, I was bit by a child and bit it back.

The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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\( \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}\)

By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)

let's solve for area of square :

\(\longrightarrow \: \mathrm{side {}^{2} }\)

\(\longrightarrow10 {}^{2} \)

\(\longrightarrow \mathrm{100 \: cm {}^{2} }\)

Now,

Radius of the both semicircles measure :

\(\longrightarrow \dfrac{10}{2} \)

\(\longrightarrow5 \: cm\)

now, let's solve for their area

\( \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} \)

(Since, there are two semicircles)

\(\longrightarrow3.14 \times 5 \times 5\)

\(\longrightarrow78.5 \: cm {}^{2} \)

Area of Shaded region = Area of Square - Area of Semicircles, that is

\(\longrightarrow100 - 78.5\)

\(\longrightarrow \mathrm{21.5 \: cm {}^{2} }\)

\(\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}\)

Answer:

a(A) = 0

Step-by-step explanation:

Answer:

2i\(\sqrt{14}\)

Step-by-step explanation:

Answer:

thats alot o money just for something thats not useful

Step-by-step explanation:

The probability that someone who tests positive for HIV does not actually have HIV is 89.3% rounded to the nearest tenth of a percent.

what is percentage ?
Percentage is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred", so when we say "50 percent", we mean 50 out of 100, or 50/100. Percentages are often used to represent ratios and proportions in everyday life and in many fields of study, including mathematics, science, economics, and finance.

To convert a fraction or decimal to a percentage, we multiply it by 100. For example, 0.75 is equivalent to 75 percent, because 0.75 times 100 equals 75. Conversely, to convert a percentage to a fraction or decimal, we divide it by 100. For example, 50 percent is equivalent to 0.5 or 1/2, because 50 divided by 100 equals 0.5.

According to the question:

Based on the information provided, we can create the following table of possibilities:

Actual HIV Status                     HIV Positive    HIV Negative

Infected (1.1 million)                   1.07M              0.03M

Not Infected (298.9 million)     8.97M            290.93M

From this table, we can see that of the 1.1 million people living with HIV, 97% will test positive for HIV, which is 1.07 million people. The remaining 3% will test negative, which is 0.03 million people.

Of the 298.9 million people not living with HIV, 97% will test negative for HIV, which is 290.93 million people. The remaining 3% will test positive, which is 8.97 million people.

So, out of the total population of 300 million people, 1.07 million will test positive for HIV, but only 1.07/(1.07+8.97) = 10.7% of them actually have HIV. Therefore, if someone tests positive for HIV, the probability they don't actually have HIV is 100% - 10.7% = 89.3%.

Therefore, the probability that someone who tests positive for HIV does not actually have HIV is 89.3% rounded to the nearest tenth of a percent.

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9514 1404 393

Answer:

  6π ≈ 18.8 miles

Step-by-step explanation:

The full circumference of a 12-mile circle is ...

  C = πd

  C = π(12 mi)

So, half the circumference of the circle is ...

  arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

68°

Step-by-step explanation:

From sin rule:

a / sin A = b / sin B = c / Sin C

b /sin B = c / Sin C

250 / sin y = 200 / sin 48

Cross multiply :

200 * siny = 250 * sin 48

Sin y = 185.78620 / 200

Sin y = 0.9289310

y = sin^-1(0.9289310)

y = 68.268790

y = 68°

My Answer to this would be: 25.26

Given data:

The expression for borrow one from the whole number part to rewrite 8 10/24 is,