Which is the following statements CANNOT be true?

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

From the question, we have the following parameters that can be used in our computation:

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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Answer:

First question is 810

Second question is 6,064

Third question is 51,841

Fourth question is 764

Fifth question is n x 7

Sixth question is 3/4 equals 1/4 + 1/4 + 1/4

Seventh question is 1/7 + 1/7 + 1/7 + 1/7 + 1/7

Step-by-step explanation:

Answer:

900/90=10

2486+3578=6064

823*63=51849

3820/5=764

4=28

15=105

3/4=1/4+1/4+1/4

5/7= 1/7+1/7+1/7+1/7+1/7

Answer:

second option

Step-by-step explanation:

Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

The expression can be written as 5/4. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

There are four basic mathematical operations which are applicable for all the real number. The operations are as follows:

1.Addition(‘+’) operation gives the sum of the numbers.

2.Subtraction(‘-’) operation gives the difference of the numbers.

3.Multiplication(‘×’) operation gives the product of the numbers.

4.Division(‘÷’) operation gives the quotient of the numbers.

We are given -5/6 * -5/4 * 6/5

The expression can be rewritten as:

⇒-5/6 * -5/4 * 6/5

⇒-1 * -5/4 * 1   (as -5/6 * 6/5 = -1*1)

⇒ 5/4 * 1        

(as when two negative numbers are multiplied, we get positive number)

⇒ 5/4  (any number multiplied by 1 is the number itself)

Hence, the expression can be written as 5/4.

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Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

This probability without replacement

Let the probability of first card=P(F)

probability of the second card=P(E)

probability of the third card=P(B)

The total outcome is 52

Total face card =12

The probability of face card is

The probability of picking the second card without replacement is

The Probability of picking the third card is five is

Total number of 5 = 4

The probability of the first card, second card, and third card is

The probability is 0.0018

Answer:

75/4 or 18¾ as a fraction and 18.75 as a decimal.

                                   Hope this helps!

Hey there!

10 + 2 * (5 - 3)

= 10 + 2(5 - 3)

= 10 + 2(2)

= 10 + 4

= 14

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

x ----> is the smaller number

x+6 ----> is the greater number

the equation is

Answer:

34

Step-by-step explanation:

i think I had this question

Answer: 0

Step-by-step explanation:

7+(-24)/8+4(-2 )= 7-24/8+4(-2) = -17/8-8 = -17/0 = 0

Answer:

<XWZ is a right angle

Step-by-step explanation:

Since <YWZ and <XWY both equal 45 degrees, So, <XWZ is a right angle.

Given that ΔYWZ and ΔYXW are similar triangles, the statement that is true about ΔYXW is: B. XWZ is a right angle,

Triangles that are similar possess equal corresponding angles.

We are given that:

ΔYWZ ~ ΔYXW

∠YWZ = ∠XWY = 45 degrees

∠YWZ + ∠XWY = ∠XWZ

45 + 45 = ∠XWZ

∠XWZ = 90 degrees (right angle).

Therefore, given that ΔYWZ and ΔYXW are similar triangles, the statement that is true about ΔYXW is: B. XWZ is a right angle,

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Answer:

Option 2)

Step-by-step explanation:

In a function, any number can be an x-coordinate only once.

Option 1) The 2 appears twice as x.

Option 2) All x-coordinates are different.

Option 3) The 2 appears twice as an x-coordinate.

Option 4) The 3 appears twice as an x-coordinate.

Answer: Option 2)

The total surface area of cylinder B will be 720 cm²

It should be noted that the Formula for total surface area of a cylinder is;

TSA = 2πr² + 2πrh

We are told that the total surface area of cylinder A is 180cm². Thus;

2πr² + 2πrh = 180

Now, we are told that the height of cylinder B is twice the height of cylinder A.

This means that the length scale factor is 2. And as such the area scale factor is 2² = 4.

Thus area of cylinder B = 180 × 4 = 720 cm²

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The two cylinders, A and B are mathematically similar.

The height of cylinder B is twice the height of cylinder A

The total surface area of cylinder A is 180cm squared

Calculate the total surface area of cylinder B.

Answer: 348 miles

Step-by-step explanation:

The car will travel 174 miles in 3 hours, if you multiply 174 x 2, the car will travel 348 miles in 6 hours.

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

\(20\sqrt{6}\)

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in the ratio \(x:x\sqrt{3}:2x\), where \(2x\) is the hypotenuse and \(x\) is the side opposite to the 30 degree angle. Therefore, the hypotenuse of the 30-60-90 triangle (left) is \(2\cdot 10\sqrt{3}=20\sqrt{3}\). This hypotenuse also represents one leg of the 45-45-90 triangle.

In all 45-45-90 triangles, the side lengths are in ratio \(x:x:x\sqrt{2}\) where \(x\sqrt{2}\) is the hypotenuse of the triangle. Therefore, since \(x\) is the hypotenuse of the triangle marked and \(20\sqrt{3}\) is one of the legs, the value of \(x\) must be:

\(20\sqrt{3}\cdot \sqrt{2}=\boxed{20\sqrt{6}}\)

Answer:

\(x = 20\sqrt6\)

Step-by-step explanation:

The triangle with the side that has a measure of (\(10 \sqrt{3}\)) is a (30 - 60 - 90) triangle. This means that its angles are (30), (60), and (90) degrees. One property of a (30 - 60 -90) triangle is the ratio of its sides. This ratio, in simple terms, can be defined as the following:

angle : opposite side

\(30 : z\\60 : z\sqrt{3}\\90 : 2z\)

Use this property here to find the measure of the side opposite the (90) degree angle, that is shared between the two triangles.

This side is opposite the (30) degree angle, therefore, multiply this side by (2) will yield the measure of the side opposite the (90) degree angle. Therefore the side opposite the (90) degree angle has the following measure:

\(20\sqrt{3}\)

The triangle with a side of (x) is a (45 - 45 - 90) triangle. This means that its angles have a measure of (45 - 45 - 90). The ratios of the sides of a (45 - 45 - 90) triangle are as follows:

angle : opposite side

\(45:y\\45:y\\90:y\sqrt{2}\)

Apply this ratio here; multiply the side shared between the (30 - 60 - 90) triangle and (45 - 45- 90) triangle by (\(\sqrt{2}\)) in order to get the side with a measure of (x). When this is done, one gets the following result:

\(x = 20\sqrt{3}*\sqrt{2}\\x = 20\sqrt{6}\)

There's 36 students graduated, since the dropout rate is 10%, then it means 36 students represents 90% of the students that were in the class. We can create a rule of 3 as shown below:

There were 40 students on the class.

Answer: 4

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

C

Step-by-step explanation:

edg 2023

Answer:

-11

Step-by-step explanation:

4x-3

Let x = -2

4(-2) -3

Multiply first

-8 -3

Add

-11

Answer:

-11

Step-by-step explanation:

plug in -2 where x is so

4(-2)-3= -11

multiply the numbers

-8-3

then calculate the difference

-8-3= -11

so your solution is -11

We can find the unit rate as follows:

Answer:

2 metric tons per hour

Answer:

$162.00

Step-by-step explanation:

$540.00 x.30 =$162.00