First, rewrite the expression by combining like terms. 21r – 7 – 9r – 8 - 2r= ​

Answer:

20%

Step-by-step explanation:

I know you want a quick answer so here lol.

Answer:

The correct answer is 20%

Step-by-step explanation:

Hope this helped :)

The approximate surface areas of corresponding prisms are listed below:

The surface area of the each figure (\(A\)), in square units, is equal to the sum of the surface area of the two bases (\(A_{b}\)), in square units, and the surface areas of the lateral sides (\(A_{l}\)), in square units. Since bases are regular polygons, base surface area can be determined by this expression:

\(A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }\)  (1)

Where:

The area of one lateral side is expressed by this expression:

\(A_{l} =h\cdot l\)   (2)

Where h is the height of the rectangle, in units.

The total surface area is defined by the following formula:

\(A = 2\cdot A_{b} + n\cdot A_{l}\)   (3)

Now we proceed to calculate each surface area:

\(A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)\)

A = 108.136 units²

\(A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)\)

A = 228.631 units²

\(A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)\)

A = 453.874 units²

The approximate surface areas of corresponding prisms are listed below:

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Answer:

Look at the picture                

Option B is the correct answer, ∫[infinity], 0 7/x +\(e^{2x}\) dx is also convergent as found using Comparison-Theorem to determine whether the integral is convergent or divergent.

Comparison Theorem:

If 0 ≤ f(x) ≤ g(x) on [a, ∞) and ∫g(x)dx is convergent, then ∫f(x)dx is convergent on [a, ∞).

If 0 ≤ g(x) ≤ f(x) on [a, ∞) and ∫g(x)dx is divergent, then ∫f(x)dx is divergent on [a, ∞).

We are to determine whether the following integral is convergent or divergent∫[infinity], 0 7/x + e^2x dx

Since the function in the numerator is a polynomial function and that in the denominator is an exponential function,

hence f(x) = 7/x + e2x (given function)

g(x) = e2x from comparison theorem,

∫[infinity], 0 7/x + e2x dx

= ∫[infinity], 0 e2x dx/since 7/x < e2x≥0

∫[infinity], 0 e2x dx is convergent

Thus, ∫[infinity], 0 7/x + e2x dx is also convergent.

Hence, option B is the correct answer.

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Answer:

C. The mean is skewed by the days Mary did not exercise.

Step-by-step explanation:

If Mary does not exercise for, say, a month then the mean will be very low and is not an indicator of how much time Mary spends exercising on an average

Answer:

15 Inches

Step-by-step explanation:

The Pythagorean Theorem states that: A^2 + B^2 = C^2

By using this, we get 9^2 + 12^2 = 225

Take the square root of 225 = 15

The probability that a cigarette has a nicotine content less than 1.8 mg is approximately 0.2119.

The probability that a cigarette has a nicotine content less than 1.8 mg can be found by using the cumulative distribution function (CDF) of the normal distribution. The CDF gives the probability of a random variable being less than or equal to a certain value.

To find this probability, we can standardize the value 1.8 mg using the formula z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.
Substituting the given values, we have z = (1.8 - 2.0) / 0.25 = -0.8.
Next, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score.
Looking up the z-score of -0.8 in the table, we find that the corresponding probability is approximately 0.2119.
Therefore, the probability that a cigarette has a nicotine content less than 1.8 mg is approximately 0.2119.

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A meter is equal to 100 centimeters; therefore, 9 meters are equal to 9*100=900cm.

9 meters is the same length as 900 centimeters.

The formula for logistic growth can be expressed as P(t) = K / (1 + A * e^(-rt)), where P(t) is the population at time t, K is the carrying capacity, r is the growth rate, A is the initial population.

Logistic growth is a type of population growth that considers a carrying capacity, which is the maximum population size that an environment can sustain. The formula for logistic growth takes into account the carrying capacity (K), the growth rate (r), and the initial population (A) to describe how the population changes over time.

In this case, the carrying capacity is given as 1500, and the growth rate is 0.25 per year. Let's denote the population at time t as P(t).

The formula for logistic growth can be written as:

P(t) = K / (1 + A * e^(-rt))

Plugging in the given values, we have:

P(t) = 1500 / (1 + A * e^(-0.25t))

The value of A is not explicitly given, so it represents the initial population. If the initial population is known, it can be substituted into the formula. If not, A can be left as a variable.

The term e^(-0.25t) represents the exponential decay component, which approaches 0 as t increases. It is multiplied by A, allowing the population to approach the carrying capacity over time.

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Answer:

Construct line segment AB of length 7 cm.

From point A, mark an arc taking 5 cm as radius.

From point B, mark an arc taking 4 cm as radius. ...

Extend AO and BO. ...

Similarly mark an arc on extended ray BO of radius 4 cm. ...

Join AD, DC and BC.

Step-by-step explanation:

Answer:

160 m²

Step-by-step explanation:

The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.

Area of front surface

Area of triangle= ½ ×base ×height

Base= 6 m

Height= 4 m

Area= 6(4)= 24 m²

Area of back surface

Area of back surface

= area of front surface

= 24 m²

Area of right surface

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 5 m

Area= 7(5)= 35 m²

Area of left surface

Area of left surface

= area of right surface

= 35 m²

Area of bottom surface (base of prism)

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 6 m

Area= 6(7)= 42 m²

The total surface area can be found by adding all of the surface areas we have found earlier.

Total surface area

= 24 +24 +35 +35 +42

= 160 m²

Cost of 75 pound of candy = 75×6 = $450

Additional fee for each bulk = $250

Total = $700

Therefore, $700 is the correct answer.

Answer:

The answer is red, green, blue.

Step-by-step explanation:

Answer:

No it does not show as a linear function

Answer: No

Step-by-step explanation:

No, it's not a linear function of x. Linear functions is a straight line in the graph, either it increased or decrese.

Answer:

x = 17

Step-by-step explanation:

x - 7 = 10 ​

x - 7 + 7 = 10 ​+ 7

x = 10 ​+ 7

x = 17

Answer:

False! as long as the the Scale Factor is 1, there is still a possibility that the figure will be congruent or greater! GOOD LUCK!

Answer: True

Step-by-step explanation: This is the difference between using transformations to create similar figures vs using transformations to create congruent figures. Similar figures are figures with the same shape. Congruent figures are figures with the same shape and size. If the scale factor is not equal to 1, then the figures are similar. If the scale factor is equal to 1, then the figures are congruent.

The rectangular coordinate form of the equation ρ = 1 is x² + y² + z² = 1. It represents a sphere of radius 1 with its center at the origin of 3-dimensional rectangular coordinates.

To convert rho = 1 to rectangular coordinates and write it in standard form, use the following equation;`

x² + y² + z² = ρ²`.

The given equation is `ρ = 1` ,We know that `ρ = √(x² + y² + z²)` ,Substitute ρ in the given equation and solve for rectangular coordinatesx² + y² + z² = 1

The above equation is a sphere of radius 1 with its center at the origin of 3-dimensional rectangular coordinates, where x, y, and z are the standard rectangular coordinates of any point in 3-dimensional space.

Therefore, the rectangular coordinate form of the given equation ρ = 1 is `x² + y² + z² = 1` which is in standard form.

The rectangular coordinate form of the equation ρ = 1 is x² + y² + z² = 1. It represents a sphere of radius 1 with its center at the origin of 3-dimensional rectangular coordinates.

In standard form, this equation is a mathematical expression of a sphere in rectangular coordinates.

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Answer:

r and s cannot be parallel

Step-by-step explanation:

If a line intersects two parallel lines, then some special angles are formed between the parallel lines

From the given figure

∵ Line r and line s intersected by line m

∵ m∠1 = 111°

∴ The angle adjacent ∠1 must be 180 - 111 = 69° ⇒ linear pairs

∵ The angle of measure 69° and angle 5 are in the corresponding

   position

∴ m∠5 must be equal 69°

∵ m∠5 = 59° from the given

→ That means the lines cannot be parallel because the angles

   in the corresponding position are not equal in measures.

∴ Lines r and s can not be parallel

Answer:r and s cannot be parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is false because 15 + 12 does not equal 220

15 + 12 = ?

It equals 27 if you got your calculations right.

You could also find out if the answer is right if you subtract 220 by one of the numbers ( 15 or 12 ) and if you get the number that you didn't subtract, then that is correct.

Here's an example.

220 - 15 = ?

220 - 15 = 205

205 does not equal 12, so it is wrong or F A L S E.

Hope this helps! <3

let length of one piece = x

length of other piece = 236-x

one piece is three times the length of the other

x=3(236-x)

x=708-3x

4x=708

x=177

so first piece is 177 inches long and second piece is (236-177)= 59 inches long

Answer:

first piece is 177 inches long and second piece is (236-177)= 59 inches long

Step-by-step explanation:

x=3(236-x)

x=708-3x

4x=708

x=177

Answer:

x = -7

Step-by-step explanation:

Solve for x:

5 - 4 x + 3 (3 x + 5) = -15

3 (3 x + 5) = 9 x + 15:

(9 x + 15) - 4 x + 5 = -15

Grouping like terms, 9 x - 4 x + 5 + 15 = (-4 x + 9 x) + (5 + 15):

((-4 x + 9 x) + (5 + 15)) = -15

9 x - 4 x = 5 x:

5 x + (5 + 15) = -15

5 + 15 = 20:

5 x + 20 = -15

Subtract 20 from both sides:

5 x + (20 - 20) = -20 - 15

20 - 20 = 0:

5 x = -20 - 15

-20 - 15 = -35:

5 x = -35

Divide both sides of 5 x = -35 by 5:

(5 x)/5 = (-35)/5

5/5 = 1:

x = (-35)/5

The gcd of -35 and 5 is 5, so (-35)/5 = (5 (-7))/(5×1) = 5/5×-7 = -7:

Answer: x = -7

Answer:

x = -7

--------------------------

Hope this helps!

Have a great day and God bless! :)

Answer:

65 cm squared

Step-by-step explanation:

Given statement solution is :- To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:

Classes Frequency

30-40 2

40-50 3

50-60 4

60-70 8

70-80 9

80-90 7

90-100 7

To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:

Classes Frequency

30-40 2

40-50 3

50-60 4

60-70 8

70-80 9

80-90 7

90-100 7

To create this distribution, we count the number of scores that fall within each class range. For example, the class 30-40 has 2 scores falling within that range (35 and 39), and the class 40-50 has 3 scores (45, 48, and 48).

Note: It seems there is an inconsistency in the data provided. The class range 70-80 has 9 scores, but the frequencies given for the other classes do not match the actual number of scores falling within those ranges. Therefore, I have used the actual counts from the data to construct the grouped frequency distribution.

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Put all the point and equation on graph we get parabola.

What is a parabola in simple terms?

according to question we follow the steps and get parabola.

f(x) = x² - 5x + 6

eq   x= 1

B = ( 2.5 , - 2.5)

A = (1 ,2 )

C = ( 2,0)

D = ( 3,0)

E = ( 0,6)

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Answer:

I don't understand

Step-by-step explanation:

Answer:

  (d)  vertical angles theorem

Step-by-step explanation:

Vertical angles have a common vertex and are formed from opposite rays.

__

Angles RQT and PQS share vertex Q, Rays QR and QP are opposite, creating line RP. Rays QT and QS are opposite, creating line ST. Hence angles RQT and PQS are vertical angles. The vertical angles theorem says those angles are congruent.

Approximately 109 grams of protein would be consumed on a 2500 kcal daily diet, with 35% of the calories coming from proteins.

Protein intake is an important aspect of a healthy diet, as it plays a vital role in various bodily functions. To calculate the grams of protein consumed, we start by determining the total calorie intake and then find the proportion of calories that come from proteins. In this case, the daily diet consists of 2500 kcal. To find the protein calories, we multiply this by the percentage of calories from proteins, which is 35%. This gives us 0.35 * 2500 = 875 kcal from proteins.

Next, we need to convert these calories into grams of protein. Each gram of protein provides approximately 4 calories. Therefore, we divide the protein calories (875 kcal) by 4 to get the grams of protein consumed, which is 875 / 4 ≈ 218.75 grams. Rounding this to the nearest gram, the individual would consume approximately 219 grams of protein on a 2500 kcal daily diet with 35% of the calories coming from proteins.

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If the difference between two supplementary angles is 121.54, the measures of the two angles are 150.77 degrees and 29.23 degrees

Let's denote the measures of the two supplementary angles as x and y. We know that supplementary angles add up to 180 degrees.

According to the given information, the difference between the two angles is 121.54. We can set up the following equation based on this information:

x - y = 121.54   (Equation 1)

We also know that the sum of the two angles is 180 degrees:

x + y = 180   (Equation 2)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method by adding Equation 1 and Equation 2 together:

(x - y) + (x + y) = 121.54 + 180

2x = 301.54

x = 301.54 / 2

x = 150.77

Substituting the value of x into Equation 2, we can solve for y:

150.77 + y = 180

y = 180 - 150.77

y = 29.23

Therefore, the measures of the two angles are approximately x = 150.77 degrees and y = 29.23 degrees.

To summarize:

Angle x ≈ 150.77 degrees

Angle y ≈ 29.23 degrees

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If the value of the sample standard deviation increases, the confidence interval becomes wider and is denoted as option A.

This term is used in statistics and refers to the probability that a population parameter will fall between two set values.

it has a direct relationship with standard deviation in which its increase will also lead to the set of values being wider thereby making it the most appropriate choice.

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The options are :

a. It becomes wider

b. It becomes more precise

c. It does not change

d. It narrows