Find the area of the circle. Use the approximate value of 3.14 for pi.

Answer:

54 degrees

Step-by-step explanation:

21/36 <- divide 21 by 36 first

=0.58333

Around 54 degrees

Answer:

10.58 feet

Step-by-step explanation:

Use the Pythagorean theorem where 11 is the hypotenuse and 3 is a leg

a^2+b^2=c^2

3^2+b^2=11^2

9+b^2=121

b^2=112

b=10.58 feet

Answer:

Ther are 6 values we can choose out of so the denominator is going to be 6.

If 5 is include then the chances are 2/6 which is 1/3

Or if 5 is not included then ot is 1/6

the answer choices are 1/3 or 1/6

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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The probability of picking an even card is 1. The correct answer is 1011.

The probability of picking a card with an even number is calculated as the number of even cards over the total number of cards. There are a total of 3 red cards numbered 2, 3 blue cards numbered 2, and 6 green cards numbered 2, 4, 6.

So there are 3 + 3 + 6 = 12 even cards in the deck.

The total number of cards in the deck is

3 red + 3 blue + 6 green = 12 cards.

Therefore, the probability of picking an even card is 12/12 = 1 ,which can be expressed as a fraction, a decimal, or a percentage.

So the correct answer is 1011.

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Answer:

94.5 is your answer bc u have to divide to get your answer for your thing

The length of BE is equal to 4.8 units.

In Mathematics and Geometry, the area of a triangle can be calculated by using this formula:

Area of triangle = 1/2 × b × h

Where:

Based on the information provided above, the area of triangle ABC can be modeled by the following mathematical equation:

Area of triangle ABC = 1/2 × AB × CF   .....equation 1.

Area of triangle ABC = 1/2 × AC × BE   .....equation 1.

By equating equations 1 and 2, we have:

1/2 × AC × BE = 1/2 × AB × CF

BE = (AB × CF)/AC

BE = (6 × 4)/5

BE = 24/5

BE = 4.8 units.

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Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

The correct option is the third option, which states that 80 percent is being used as a hypothesis.

A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

In the given problem, Jim and Pam conducted an experiment to find out whether temperature affects learning.

20 rats were trained to press a lever in an operant chamber to obtain food pellets.

Jim and Pam estimated that 80 percent of all rats trained on this task in 70 degrees Fahrenheit temperature would emit more than one response per second.

Based on the information provided, 80 percent is being used as a hypothesis or predicted value that Jim and Pam had before conducting the experiment. Therefore, the correct option is the third option, which states that 80 percent is being used as a hypothesis. A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

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The points given are:

(-1, -3) and (4, 2)

Coordinates are:

x₁ =-1 y₁=-3 x₂ = 4 y₂ = 2

First, let's find the slope(m) of the equation using the formula below:

Next, find the inetercept of the equation by substituting x =-1 y=-3 m = 1 into y=mx+ b

-3 = 1(-1) + b

-4 = -1 + b

Add 1 to bothside

-4+1 = b

-3 = b

b = -3

We can now form the equation of the line by simply substituting the value of m and b into y=mx+ b

y = x - 3

Therefore, the equation of the line that satisfies the condition is y = x - 3

The equation for the parabola, with vertex at the origin, that passes through (-7,7) and opens to the left is: y² = -7x

Hence the correct option is (C).

Given that the parabola opens to the left side that is towards negative X axis and also vertex of the parabola is at origin (0, 0). So the equation of the parabola is in the form,

y² = - 4ax

Now it is said that the parabola passes through the point (-7, 7) so this point must satisfy the equation. So,

7² = - 4a * (-7)

49 = 28a

a = 49/28 = 7/4

So the required equation of the parabola is,

y² = - 4ax

y² = - 4(7/4)x

y² = - 7x

Hence the correct option is (C).

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Answer:

B.) 6x² + 7x + 2

Step-by-step explanation:

(3x + 2) ( 2x + 1)

6x² + 3x + 4x + 2

6x² + 7x + 2

The simplified expression is: -243v^5

hope this helps ;')

Answer:

N greater than or equal to 42

Step-by-step explanation:

You have to look at the equation and then add 23 to both of the sides. After you will get 42 and drop down everything.

In order to find the value of N in the equation when T = 60, we just need to apply the value of T and then calculate the value of N.

So we have that:

So the number of chirps per minute is 80

Answer:

-2

Step-by-step explanation:

Use the method, which is \(\frac{rise}{run}\).

The graph below shows an example of rise over run.

After you found the values using rise over run, then divide.

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

Hence, the slope of the line is -2.

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

Answer:

57 is a rational number.

Step-by-step explanation:

Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

An irrational number is a type of real number which cannot be represented as a simple fraction.

In this example, 57 can be represented as a fraction.

It can be written as \(\frac{57}{1}\).

Hence, proved.

Hope this helps.

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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Answer: y=1/3x y=5/3x y=-2/3x y=-4/3x y=-2/1x

Step-by-step explanation:

I know things, and I worked it out on Desmos

(a) The expression of nth term of arithmetic sequence is \(a_n=1+(n-1)6\) and (b) 4th term of the series  \(a_n=5n^2\\\) is 80.

What is arithmetic sequence?

It is a sequence of numbers which have same difference between two consecutive numbers. The common difference can be any positive number or negative number or even it can be 0.

The six terms of the arithmetic sequence are as follows:

1,7,13,19,25,31

Calculate the common difference as follows:

7-1=6

13-7=6

19-13=6

Since it is an arithmetic sequence hence common difference is 6.

Hence, \(d=6\).

Now, substitute value of the first term and the common difference in the following expression of the nth term.

\(a_n=a+(n-1)d\\a_n=1+(n-1)6\)

Now, the nth term of another sequence is as follows:

\(a_n=5n^2\\\)

Substitute n=4 in the above equation.

\(a_4=5(4)^2\\=80\)

Hence, (a) the expression of nth term is \(a_n=1+(n-1)6\) and 4th term of the series  \(a_n=5n^2\\\) is 80.

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Answer:

Statement 1 - false

A function is one-to-one or many-to-one.

One-to-one means each value in the range (y-values) corresponds to exactly one value in the domain (x-values)

Many-to-one means some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

Therefore, as some y-values correspond to more than one x-value, this is a many-to-one function.

The true statement should be:

The relation is a function because some y-values correspond to more than one x-value.

Statement 2- true

The domain is the set of input values (x-values).  Therefore, the domain is 3 ≤ x ≤ 8 as the smallest x-value is 3 and the highest x-value is 8.

Statement 3 - true

The range is the set of output values (y-values).  Therefore, the range is {6, 7, 8, 10} as these are the y-values of the ordered pairs.

Answer:

\(m=\frac{-5}{3}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point C(-2, 4)

Point D(1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

The area of the sector with a central angle of 180° and a diameter of 5.6 cm is approximately 11.8 \(cm^2\).

To find the area of a sector, we need to know the central angle and the radius or diameter of the circle that the sector is a part of. In this case, we are given a central angle of 180° and a diameter of 5.6 cm.

Find the radius of the circle is the first step. We can do this by dividing the diameter by 2:

radius = diameter/2 = 5.6/2 = 2.8 cm

Next, we can use the formula for the area of a sector:

Area of sector = (central angle/360°) x π x \(radius^2\)

Plugging in the given values, we get:

Area of sector = \((180/360) * \pi * (2.8)^2\)

= \((1/2) * 3.14 * 2.8^2\)

= \(11.77 cm^2\)

Rounding to the nearest tenth, we get:

Area of sector ≈ 11.8 \(cm^2\)

Therefore, the area of the sector is approximately 11.8 \(cm^2\).

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\(\huge\fcolorbox{blue}{aqua}{Answer:}\)

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Answer:

↝\(r = \frac{471}{25\pi} \)

Solution:

\(2\pi r = 37.68\)

\( \frac{2\pi r}{2\pi} = \frac{37.68}{2\pi} \)

\(r = \frac{37.68}{2\pi}\)

\(r = \frac{471}{25\pi} \)

────────────────────

If u evaluate it it will become

=5.996958256

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Explanation:

#Carry on learning

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

Answer:

44.7

Step-by-step explanation: