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Use the In key on your calculator to estimate
the logarithm.
In 2
Round your answer to the nearest thousandth.

Answer:

The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.

Find the academic calendar, and then answer: How many days after the end of the course are the final grades published? Select one:

a. 12 days

b. 7 days

c. 14 days

d. 3 days

Answer:

7 days

Step-by-step explanation:

Take note that under standard practice and based on the information available that it would take up to 7 days after the end of a course for the final grades to be published.

Thus, the correct option is 7 days.

Answer:

\(\boxed{\sqrt{65}}\)

Step-by-step explanation:

Magnitude is solved with the following equation: \(\sqrt{x^{2}+y^{2}}\)

Therefore, just plug in your x and y-values and solve.

\(\sqrt{4^{2}+7{^{2}}\)

\(\sqrt{16 + 49}\)

\(\sqrt{65}\)

Because \(\bold{\sqrt{65}}\) cannot be simplified further, this is the magnitude of the vector.

Answer:

(a) the new angle the ladder makes with the ground is \(32.7^o\)

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

\(sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m\)

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

\(sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o\)

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

\(cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4 \,\,m\)

Now fro the new position of the bottom of the ladder relative to the wall:

\(cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m\)

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

The set of numbers that have 11 as a common factor is {154, 231}.

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

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The sample mean for all 8 students is 4.8 hours per week.

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To find the new sample mean, we need to add the new student's exercising time to the total time for the previous 7 students, and then divide by the total number of students.

The total exercising time for the previous 7 students is 7 x 5.2 = 36.4 hours.

The total exercising time for all 8 students is 36.4 + 2 = 38.4 hours.

So the sample mean for all 8 students is 38.4 / 8 = 4.8 hours per week.

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Answer:

the second one

Step-by-step explanation:

i cant graph on brainly soz but its the second table

Step-by-step explanation:

I can't graph it, but place all of the points on the second quadrant top. X axis  always comes first.  

The ratio of the amount spent on entertainment to the amount spent on bills is 1:15.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Sam's net paycheck per month is approximately $3600 and he puts $400 into his savings account and uses $200 for entertainment.

The amount spent on bills will be:

= $3600 - $400 - $200

= $3000

Therefore, the ratio of the amount spent on entertainment to the amount spent on bills is:

= 200/3000

= 1/1

= 1:15

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Answer:

8/x = x/20

x^2=160

x=sqrt(160)

x=sqrt(16*10)

x=sqrt(16)*sqrt(10)

x=4*sqrt(10)

Step-by-step explanation:

The geometric mean of 8 and 20 in the simplest radical form is 2√10.

The Geometric Mean is a unique kind of average in which the numbers are multiplied together and then their square, cube, or other root is taken (for two numbers, three numbers, etc.).

To calculate the geometric mean of two numbers:

You would multiply the numbers together and take the square root of the result.

First, multiply 8 and 20.

That equals 160.

Then you take the square root of 160;

√160

= 12.65,

which doesn't result in a whole number.

So you factor 160 and removing perfect squares.

√160

= √ (4 x 10)

= 2√(10)

Therefore, the geometric mean is 2√10.

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Answer:

\(234\)

Step-by-step explanation:

\(4+40+60+80+50=234\)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

7yz

Step-by-step explanation:

You can take 7yz common from all the terms in the given expression

Answered by GAUTHMATH

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

586

Step-by-step explanation:

If you mean 624-48=586

Answer:

total

percentage

Step-by-step explanation:

total would be all percentage would be part

Using the Factor Theorem, it is found that the function is given by:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

From the graph, the zeroes are \(x_1 = -8, x_2 = -3, x_3 = 10\), hence:

\(f(x) = a(x + 8)(x + 3)(x - 10)\)

\(f(x) = a(x^2 + 11x + 33)(x - 10)\)

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

From the y-intercept, that is, when \(x = 0, y = -13.5\), we find a.

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

\(-330a = -13.5\)

\(330a = 13.5\)

\(a = \frac{13.5}{330}\)

\(a = 0.0409\)

Hence:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

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Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

Answer:

a:non linear

y-intercept=1

smallest postive x-intercept:  π

y= 1 and x=0

Step-by-step explanation:

1.a:non linear

("Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.")

2.The y-intercept is 1

The point where x is zero(0) is the y-intercept

(0,1)

3. smallest positive x intercept is

so x-intercept is point where y is 0

look at the paterns (pi,0) and (-pi,0) etc..

The smallest positive x-intercept is

(π,0)

4. The greatest value of y is y= 1 and x=0

Answer:

Step-by-step explanation:

This is the graph of a {nonlinear}

The y-intercept of the graph is the function value y=1

The smallest positive x-intercept of the graph is located at x=\(\pi\)

The greatest value of y is y= 1, equals, and it occurs when x=0

For x between x=\(\pi\), equals and x=2\(\pi\), equal the function value y ≤ 0

H =20

G = 8 mor than I

the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

The distance between the points A(-3, 4) and B(5, 8) is given as follows:

8.9 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The points A and B in the context of this problem have the coordinates given as follows:

A(-3, 4) and B(5, 8).

Hence the distance between these two points is obtained as follows:

d = sqrt((5 - (-3))² + (8 - 4)²)

d = sqrt(64 + 16)

d = 8.9 units.

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The normal distribution is solved and the retirement ages are normally distributed

P(x ≤ 62) ≈ 22.7%

P(x ≥ 70) ≈ 10.6%

P(55 ≤ x ≤ 60) ≈ 14.5%

P(60 ≤ x ≤ 70) ≈ 78.9%

Given data ,

To solve these probability questions, we can use the properties of the normal distribution. Let's calculate each probability:

a)

P(x ≤ 62):

To find this probability, we need to calculate the z-score corresponding to x = 62 and then find the area under the standard normal distribution curve to the left of that z-score. The formula to calculate the z-score is:

z = (x - mean) / standard deviation

In this case:

z = (62 - 65) / 4 = -0.75

Using a standard normal distribution table or a calculator, we can find that the area to the left of z = -0.75 is approximately 0.2266 or 22.7%

b)

P(x ≥ 70):

To find this probability, we need to calculate the z-score corresponding to x = 70 and then find the area under the standard normal distribution curve to the right of that z-score. Again, we use the z-score formula:

z = (x - mean) / standard deviation

In this case:

z = (70 - 65) / 4 = 1.25

Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1.25 is approximately 0.1056 or 10.6%

c)

P(55 ≤ x ≤ 60):

To find this probability, we need to calculate the z-scores corresponding to x = 55 and x = 60, and then find the area between those two z-scores under the standard normal distribution curve. Again, we use the z-score formula:

z = (x - mean) / standard deviation

For x = 55:

z1 = (55 - 65) / 4 = -2.5

For x = 60:

z2 = (60 - 65) / 4 = -1.25

Using a standard normal distribution table or a calculator, we can find that the area between z = -2.5 and z = -1.25 is approximately 0.1446 or 14.5%

d)

P(60 ≤ x ≤ 70):

To find this probability, we need to calculate the z-scores corresponding to x = 60 and x = 70, and then find the area between those two z-scores under the standard normal distribution curve.

Using the same z-score formula as above:

For x = 60:

z1 = (60 - 65) / 4 = -1.25

For x = 70:

z2 = (70 - 65) / 4 = 1.25

Using a standard normal distribution table or a calculator, we can find that the area between z = -1.25 and z = 1.25 is approximately 0.7887 or 78.9%

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The values for each probability are:

P(x ≤ 62) is approximately 22.7%.

P(x ≥ 70) is approximately 10.6%.

P(55 ≤ x ≤ 60) is approximately 9.9%.

P(60 ≤ x ≤ 70) is approximately 89.4%.

We have,

To solve these probability problems, we can use the standard normal distribution and Z-scores.

First, we need to convert the given values to Z-scores using the formula: Z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation.

a)

P(x ≤ 62):

Z = (62 - 65) / 4 = -0.75

Using a standard normal distribution table or a calculator, we can find the corresponding area under the curve for a Z-score of -0.75.

This gives us a probability of approximately 0.2266.

To convert this probability to a percentage, we multiply by 100: 0.2266 * 100 ≈ 22.7%

b)

P(x ≥ 70):

To find the probability of x being greater than or equal to 70, we can use the complement rule: P(x ≥ 70) = 1 - P(x < 70)

Z = (70 - 65) / 4 = 1.25

Using a standard normal distribution table or a calculator, we can find the probability of a Z-score being less than 1.25, which is approximately 0.8944.

Now,

We can calculate P(x ≥ 70) = 1 - P(x < 70) = 1 - 0.8944 = 0.1056.

To convert this probability to a percentage, we multiply by 100: 0.1056 * 100 ≈ 10.6%

c)

P(55 ≤ x ≤ 60):

Z1 = (55 - 65) / 4 = -2.5

Z2 = (60 - 65) / 4 = -1.25

Using a standard normal distribution table or a calculator, we can find the probability of a Z-score being less than -1.25, which is approximately 0.1056.

Using the same method, we can find the probability of a Z-score being less than -2.5, which is approximately 0.0062.

Now, we can calculate the probability between -2.5 and -1.25 by subtracting the two probabilities:

P(-2.5 ≤ Z ≤ -1.25) = P(Z ≤ -1.25) - P(Z ≤ -2.5) = 0.1056 - 0.0062 = 0.0994.

To convert this probability to a percentage, we multiply by 100: 0.0994 x 100 ≈ 9.9%

d)

P(60 ≤ x ≤ 70):

Using the same Z-scores as in part c), we can find the probability of a Z-score being less than -1.25, which is approximately 0.1056.

Using the complement rule, we can find P(60 ≤ x ≤ 70) = 1 - P(x < 60) = 1 - 0.1056 = 0.8944.

To convert this probability to a percentage, we multiply by 100: 0.8944 * 100 ≈ 89.4%

Therefore,

P(x ≤ 62) is approximately 22.7%.

P(x ≥ 70) is approximately 10.6%.

P(55 ≤ x ≤ 60) is approximately 9.9%.

P(60 ≤ x ≤ 70) is approximately 89.4%.

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Explanation:

The special symbol \(\varnothing\) represents the empty set. Another way to write the empty set is to use curly braces with nothing inside them. Not even zero is inside the empty set.

One property of set mathematics is that the empty set is a subset of every set, even itself.

Therefore, the claim \(\varnothing \subseteq \left\{\text{Charlie Chaplin},\text{Groucho Marx},\text{Woody Allen}\right\}\) is a true statement.

Answer:

2 3/16 gallons

Step-by-step explanation:

To make 10 pitchers Johan's mom needs to use 35 cups of lemon juice with the given ratio.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Number of cups per pitcher= 3 1/2 = 3 + 1/2 = 7/2 cups/pitcher

With this rate, with 10 pitchers,

7/2 x 10 = 35 cups.

Hence "To make 10 pitchers Johan's mom needs to use 35 cups of lemon juice with the given ratio".

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Answer:

Step-by-step explanation:

sry ion no 11

Answer:

Step-by-step explanation:

Answer:

the answer is 23

Step-by-step explanation:

the equation states that x=3

therefore you have to replace x with 3 so the equation is equal to

6×3= 18+5= 23

Answer:

117.5 cm that the answer on your question

Answer:

SN=TN

Step-by-step explanation:

When determining congruency (if that's a word) S will always equal T

U will always equal A and N will always equal N

So SN= TN

Answer:

AC is about 4.29

Step-by-step explanation:

we need to use simple trigonometry for this problem

the tangent of an angle is the ratio between the opposite side and the adjacent side

so the tangent of the angle 35º is BC / AC

tan(35) is about 0.7

this means that BC / AC = 0.7

we know BC is 3

so 3 / AC = 0.7

3 = 0.7(AC)

AC is about 4.29

Answer: 1050 people.

Step-by-step explanation: It's a rule of three question.

15/50 as x/3500

Then you have that 50x = 52500

x = 1050

There you have it.