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Answer:

The common ratio of the geometric sequence is 3

Answer: C. \(\sqrt{9} * \sqrt{4}\)

Step-by-step explanation:

There is a square root rule that states \(\sqrt{x*y} = \sqrt{x} * \sqrt{y} \\\)

We can apply this rule to this problem.

Given \(\sqrt{9*4}\)

We can use the rule to make it equal to \(\sqrt{9} * \sqrt{4}\)

This is answer choice C.

Answer: c

Step-by-step explanation: 9*4=36          36* 36 = 1296

9 * 9 = 81      4 * 4 = 16       81 * 16 =  1296    hope this helps

Answer:

7⅓ feet

Explanation:

The length of wire bought by the workers = 2 4/9 feet

Since the construction manager said they need 3 times that amount.

We simplify by first changing the mixed fraction to an improper fraction.

They need 7⅓ feet of wire.

Answer:

$31.86

Step-by-step explanation:

You can use a proportion here.

37.05 = 100%

x = 86% (100%-14% which is a delivery fee)

x = (37.05*86)/100

x = 3186.3/100

x = 31.86

The cost of their dinner before the delivery fee was $31.86.

I hope that I helped :)

Answer:

A.20_ 3=17..

option A is the answer

Answer:

A) 20 - 3

Step-by-step explanation:

20 - 9÷3

Use PEMDAS.

First Division should be done

So, 20 - 9÷3 = 20 - 3

To solve the equation 20 cot² x + 7 cot x - 6 = 0 on the interval [0, 2pi), we can use the fact that cot x is equal to 1/tan x. By substituting cot x with 1/tan x, we can rewrite the equation as a quadratic equation in terms of tan x.

First, let's substitute cot x with 1/tan x:

20 (1/tan x)² + 7 (1/tan x) - 6 = 0

Simplifying, we have:

20/tan² x + 7/tan x - 6 = 0

Multiplying through by tan² x, we get:

20 + 7 tan x - 6 tan² x = 0

Now, let's rearrange the equation and set it equal to zero:

6 tan² x - 7 tan x - 20 = 0

This is a quadratic equation in terms of tan x. We can solve it by factoring, using the quadratic formula, or by completing the square. Once we find the solutions for tan x, we can use the inverse tangent function to find the corresponding values of x on the interval [0, 2pi).

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The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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Answer:

y=4x+10

Step-by-step explanation:

2y-8x-20=0

2y-8x=0+20

2y-8x=20

2y=8x+20

y=4x+10

Hope that will help!!

Answer:

x = 14.

Step-by-step explanation:

So, we know that the sum of 3 number is 73. The second number is twice the first, and the third is 3 more than the second. We can turn this into an algebra equation.

x + 2x + 2x + 3 = 73.

If we solve, this, we get x = 14.

the probability of rolling a 1 on at least one of the rolls of a fair die is 1 - (5/6)^n.

To find the probability of rolling a 1 on at least one of the rolls of a fair die, we can use the concept of complementary probability.

The complementary probability is the probability of the opposite event, which in this case is the probability of not rolling a 1 on any of the rolls.

The probability of not rolling a 1 on a single roll of a fair die is 5/6, since there are 5 possible outcomes (2, 3, 4, 5, 6) out of 6 total outcomes.

Therefore, the probability of not rolling a 1 on all n rolls is (5/6)^n.

The probability of rolling a 1 on at least one of the rolls is equal to 1 minus the probability of not rolling a 1 on any of the rolls:

P(rolling a 1 on at least one roll) = 1 - P(not rolling a 1 on any roll)

P(rolling a 1 on at least one roll) = 1 - (5/6)^n

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Answer:

x^2−8x+16

Step-by-step explanation:

Answer:

x^2 - 8x + 16

Step-by-step explanation:

(x-4) (x-4)

your multiplying the first parentheses by the second

x^2 -4x -4x +16

-4x -4x = -8x

x^2 -8x + 16

Answer:

(-1,-4) and (7,-4)

Step-by-step explanation:

so you're looking for an 8 foot row for the vegetables, so you need to find a row that has 8 points from end to end. a way to find this is to find all the points along the shape, and count each verticle line. (ex. (-1,2) and (4,2), there are 5 vertical lines that are complete.)

Answer:

D

Step-by-step explanation:

\(A=P(1+\dfrac{r}{n})^{nt}\)

where A is the final amount of money, P is the initial amount of money input, r is the interest rate, n is the amount of times compounded per year, and t is the time in years.

\(1514=955(1+\dfrac{r}{12})^{(12)(3)}\)

\(1.585=(1+\dfrac{r}{12})^{36}\)

\(1.0128762=1+\dfrac{r}{12} \\\\\\0.0128762=\dfrac{r}{12} \\\\\\r\approx 0.155=15.5\%\)

Hope this helps!

Answer:

\(|T - B| \leq 2\)

Step-by-step explanation:

Represent Tyler with T and Benjamin with B

Solving (a):

Since T is within 2 of B, then

\(T - B \leq 2\) or \(B - T \leq 2\)

These two inequalities can be merged to form:

\(|T - B| \leq 2\)

There's no enough information to answer the B part

Therefore , the solution to the function  problem f(x) = |3+x|    can be rewritten in the following form:

f(x)  = \(\left \{ { x+ 3 } \atop {-x -3}} \right.\)    For x + 3 , x ≤ -3 and For -x-3 , x<-3.

A function is made up of three parts: a set of inputs, a set of outputs, and a rule that links the components of the input set to the components of the output set so that each input is paired with exactly one output.

Here,

According to the definition of absolute value, we know that:

f(x)  = \(\left \{ { a} \atop {-a}} \right.\)

For a , a≥ 0

For -a , a<0

According to this, we can define f(x) = |3+x|  in the following form:

f(x)  = \(\left \{ { x+ 3 } \atop {-x -3}} \right.\)    

For x + 3 , x ≤ -3

For -x-3 , x<-3

Therefore , the solution to the function  problem f(x) = |3+x|    can be rewritten in the following form:

f(x)  = \(\left \{ { x+ 3 } \atop {-x -3}} \right.\)    For x + 3 , x ≤ -3 and For -x-3 , x<-3.

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Answer:

d 2x

Step-by-step explanation:

When the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

The rate at which the area of a triangle changes can be found by multiplying the rate at which the base is shrinking by the rate at which the height is increasing.

Given:

Rate of shrinking of the base = -2 cm/min

Rate of increasing of the height = 3 cm/min

Height of the triangle = 38 cm

Base of the triangle = 32 cm

To find the rate at which the area of the triangle changes, we use the formula for the area of a triangle:

Area = (1/2) * base * height

Differentiating the area formula with respect to time gives us:

dA/dt = (1/2) * (db/dt) * height + (1/2) * base * (dh/dt)

Substituting the given values, we have:

dA/dt = (1/2) * (-2) * 38 + (1/2) * 32 * 3

Simplifying, we get:

dA/dt = -38 + 48

dA/dt = 10 cm²/min

Therefore, when the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

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Answer:

3x 2 +7 = 13 + 5x3+10= 38

Step-by-step explanation:

38 is your answer. Hope I helped.

Answer: So you need to do the slope-intercept form  for y = mx+b so that you can find the slope of m.

Step-by-step explanation:

-y  =  3  −  2 x

Multiply each term:

1 y = 3⋅ −1 + (−2x)⋅ −1

y = 3. −1 + (−2x)⋅ −1

y=−3+(−2x)⋅−1

y=−3+2x

y=2x−3

Answer:

f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10

I is False There exists a tangent line to y = f(x) at points A, C, and D.

II is false: The graph shows that there is a tangent line to y = f(x) at point D.

III is True: The graph shows that there exists a tangent line to y = f(x) at point A.

To determine the statements that are true based on the graph, let's analyze the given information.

I. There is a tangent line to y = f(x) at points A, C, and D:

From the graph, it appears that there is a tangent line at points C and D since the curve appears to have a well-defined slope at those points. However, at point A, the curve seems to have a sharp corner, suggesting that a tangent line does not exist at that point. Therefore, statement I is false.

II. A tangent line to y = f(x) does not exist at point D:

Based on the graph, it appears that a tangent line exists at point D because the curve has a well-defined slope at that point. Therefore, statement II is false.

III. A tangent line to y = f(x) does not exist at point A:

As mentioned earlier, the curve at point A appears to have a sharp corner, indicating that a tangent line does not exist at that point. Therefore, statement III is true.

In summary, the statements that are true based on the graph are:

Statement III: A tangent line to y = f(x) does not exist at point A.

To determine the statements that are true based on the graph, let's analyze the given information.

I. There is a tangent line to y = f(x) at points A, C, and D:

From the graph, it appears that there is a tangent line at points C and D since the curve appears to have a well-defined slope at those points. However, at point A, the curve seems to have a sharp corner, suggesting that a tangent line does not exist at that point. Therefore, statement I is false.

II. A tangent line to y = f(x) does not exist at point D:

Based on the graph, it appears that a tangent line exists at point D because the curve has a well-defined slope at that point. Therefore, statement II is false.

III. A tangent line to y = f(x) does not exist at point A:

As mentioned earlier, the curve at point A appears to have a sharp corner, indicating that a tangent line does not exist at that point. Therefore, statement III is true.

In summary, the statements that are true based on the graph are:

Statement III: A tangent line to y = f(x) does not exist at point A.

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The possible values of x that are 2 units from 21 on a number line are given as follows:

x = 19 and x = 23.

When a value of x is a units from a number n in the number line, the possible values are given as follows:

Hence, the possible values of x that are 2 units from 21 on a number line are given as follows:

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Answer:

43.75 miles

Step-by-step explanation:

You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75

8.75+35=43.75

The length of the third side can be in range of [1, 17].

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Given is that in triangle ABC, AB = 6 and BC = 11.

In a triangle, the sum of two sides of a triangle is always greater than the third side. This means -

AB + BC > AC

(6 + 11) > AC

AC < 17

Therefore, the length of the third side can be in range of [1, 17].

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Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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Answer:

0.7627

Step-by-step explanation:

This is a binomial probability problem

Given :

Number of trials, n = 5

p = number of correct option / total options = 1/4 = 0.25

q = 1 - p = 1 - 0.25 = 0.75

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

Getting atleast 1 correct :

P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x =4) + p(x = 5)

P(x =1) = 5C1 * 0.25^1 * 0.75^4 = 0.3955

P(x =2) = 5C2 * 0.25^2 * 0.75^3 = 0.2637

P(x =3) = 5C3 * 0.25^3 * 0.75^2 = 0.0879

P(x =4) = 5C4 * 0.25^4 * 0.75^5 = 0.0146

P(x =5) = 5C5 * 0.25^5 * 0.75^0 = 0.0009

P(x ≥ 1) = 0.3955 + 0.2637 + 0.0879 + 0.0146 + 0.0009 = 0.7627

P(x ≥ 1) = 0.7627

Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.

Step-by-step explanation:

Answer:

perpendicular and tangent

Step-by-step explanation: