If the equation y=5(1.7)^x is plotted on a semi-log scale graph, then the linearized equation will be log(y)=mx+b, where m=_____?_____ and b=____?_____.

Answer:

4

Step-by-step explanation:

Since it costs $3.75 for every earring, multiply e by 3.75 like this: 3.75e

Add 9.5 on top of that since Dani already bought the necklace for $9.50

3.75e + 9.5

This sum has to be less than or equal to 25 because the budget is $25

3.75e + 9.5 ≤ 25

To find e subtract 9.5 from both sides

3.75e + 9.5 ≤ 25

          - 9.5    - 9.5

3.75e ≤ 15.5

Divide both sides by 3.75

3.75e/3.75 = 15.5/3.75 = 4.133...

You can't buy 0.133 of an earring, so the max amount of earrings she can buy is 4.

The equivalent expressions [tex]$\frac{21^x}{7^x}[/tex] is [tex]$3^{x}$$[/tex].

Equivalent expressions exist as expressions that work exactly even though they look different. If two algebraic expressions exist as equivalent, then the two expressions contain the exact value when we plug in the same values for the variables.

Given: [tex]$\frac{21^x}{7^x}[/tex]

Factor [tex]$21^{x} = 7^{x} \cdot 3^{x}$[/tex]

[tex]$=\frac{7^{x} \cdot 3^{x}}{7^{x}}$$[/tex]

Cancel the common factor: [tex]$7^{x}$[/tex]

[tex]$=3^{x}$$[/tex]

Therefore, the correct answer is option B. [tex]$3^{x}$$[/tex].

To learn more about equivalent expressions

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The shape of the can is cylindrical, by employing the formula for lateral surface area and plugin in our data the answer was gotten as

14.2 square inches

Given Data

Radius of can = 5 inches

Height of can = 10 inches

We know that the expression for the lateral surface area of a cylinder is given as

Lateral Surface area = 2πrh

Substitute our given Data

Lateral Surface area = 2*3.142*5*10

Lateral Surface area = 314.2 square inches

Learn more about Cylinders here:

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Answer:

[tex]24w^3 - 6 + 36y^2[/tex]

Step-by-step explanation:

[tex]-6(-4w^3+1-6y^2)\\\\-6(-4w^3) + -6(1) + -6(-6y^2)\\\\24w^3+-6+36y^2\\\\24w^3-6+36y^2[/tex]

Hope this helps!

24w^3 - 6 +36y^2 is it

Step-by-step explanation:

Expand by distributing terms.

-(-24{w}^{3}+6-36{y}^{2})

−(−24w

3

+6−36y

2

)

2 Remove parentheses.

24{w}^{3}-6+36{y}^{2}

24w

3

−6+36y

2

Answer:

A = p(1 + rt)

Step-by-step explanation:

6682.50 = 6000(1 + 0.065t)

Ok if I directly write the equation it will become difficult to understand , so I am dividing into small parts. :)

[tex] \\ \\ [/tex]

Let :-

number be x.

[tex] \\ [/tex]

Statement :-

21 is subtracted from the square of a number.

x² ← square of number

Equation :-

x² - 21

[tex] \\ \\ [/tex]

Statement :- the result is 4 times the number.

4 times a number means 4 × x = 4x.

Equation :-

x² - 21 = 4x

[tex] \\ \\ [/tex]

So we got our equation i.e x² - 21 = 4x , now we can finally find negetive value of x.

→x² - 21 = 4x

→x² -21 - 4x = 0

→x² - 4x - 21 = 0

→x² + 3x - 7x - 21 = 0

→x(x + 3) - 7x - 21 = 0

→x(x+3) - 7(x + 3) = 0

→(x - 7) (x + 3) = 0

Comparing:-

[tex] \\ [/tex]

Required answer :-

[tex]\boxed{\pmb{\sf -3}}[/tex]

The 50th term in the sequence is 199

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a+ (n - 1)d

where:

The sequence formed by the amount of Whatchamacallits produced as;

3, 7, 11, 15...

a = 3

d = 11-7 = 7-3 = 4

Substitute

Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4

Tn = 4n - 1

Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1

If n = 50

T50 = 4(50) - 1

T50 = 199

Hence the 50th term in the sequence is 199

Learn more on sequence here; https://brainly.com/question/6561461

]

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

Answer:

9/1/2

you multiply the exact form and decimal form

Answer:

Nine

Step-by-step explanation:

Given the following question:

12/12 = 12 parts or 1 whole unit
1/12 = 1 part of that unit
9/12 = 9 parts of that unit

If 12 parts are needed to create one whole unit or 12/12, that means they're 9, 1/12 parts in the fraction 9/12.

Your answer is "nine."

Hope this helps.

Step-by-step explanation:

Hi! An easy way to find an answer to questions like this is to do a table

y=16 : x=4

Now, add up X and Y together until X reaches 6

y=16 x=4

y=17 x=5

y=18 x=6

As you can see, when x is 6, y is 18.

Hope this helps!

The equation computed shows that the total amount that Vince paid this year is $263.

From the information given, Vince pays a fixed fee of $55 annually and must pay $9 for every game he attends.

The equation to solve the question will be:

= 155 + 9x

= 155 + 9(12)

= 155 + 108

= $263

Learn more about equations on:

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Answer:

6

Step-by-step explanation:

Diagonals of a rectangle are congruent

4 + 2x = 6x -20 Add 20 both sides. Subtract  2x both sides

24 = 4x

x = 6

Answer:

x^3-y^3

Step-by-step explanation:

(x-y)(x^2+xy+y^2)
Multiply the terms,
x^3 + x^2y + xy^2-  x^2y - xy^2 - y^3
Simplify the terms,
x^3 - y^3
This is also the formula for difference of two cubes.

Answer:

x = 21.8

Step-by-step explanation:

x = 42.3 - 22.5

Answer:

Two lines are perpendicular if the product of their slopes equals -1.

In general form, this means that you reverse the coefficients of x and y and negate one of the two.

So the general form of this perpendicular line becomes: 12x + 3y + C = 0, or simplified: 4x + y + C’ = 0.

Now fill in the desired point to find C’: 4*(-2)+5+C’=0 so C’= 3.

The general form of the line becomes 4x + y + 3 = 0

Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

A unit fraction is any fraction with 1 as its numerator (top number), and a whole number in the denominator (bottom number).

Answer:

  54 cm²

Step-by-step explanation:

The net of the 3 cm cube has 6 squares, each of which is 3 cm on a side. The area of each is (3 cm)² = 9 cm², so the total area is ...

  6×9 cm² = 54 cm²

Answer:

is four hundred forty-four thousand four hundred four

Step-by-step explanation:

you need to know  the first 4 in 444,404 is in the hundred thousands. then forty thousand, then thousands, then hundreds and lastly four.   ;-;7

Answer:

0

Step-by-step explanation:

a₅ = 8 - 2(5 - 1) = 8 - 2(4) = 0

Answer:

Answer:

the equation is wrong

Step-by-step explanation:

=> 74-25=59

since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly

=> 59+25

add 59 to 25

=> 84

this means the question is wrong

Answer:

adult tickets: 180

child tickets: 160

Step-by-step explanation:

adult tickets =x

child tickets =y

1. create a function

x+y=340

16x + 12y = 4800

2. solve

3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold

Answer:

GCF is the Greatest Common Factor

I this Process you need to find HCF (Highest Common Factor) and Write the Common Number which is Greater among all.

Answer:

A

Step-by-step explanation:

Flip the previous answers around and you will get it right!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

Answer:

A) 8 x 7 = 56

Step-by-step explanation:

Let's look at the information we have.

This is the part of the family we are given:

56 ÷ 7 = 8

7 x 8 = 56

56 ÷ 8 = 7

We can see that we have one equation that's multiplying, but two equations that are dividing.

That means we probably need another equation with multiplying.

For the division equations, we have one with the 7 in front of the 8, and one with the 8 in front of the 7.

That means we should have the same for the multiplication ones.

We have one with 7 x 8, so we should have another with 8 in front of the 7

The answer is A.

8 x 7 = 56

Using conditional probability, it is found that P(X⏐Y) = 0.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that X and Y are mutually exclusive events, hence [tex]P(X \cap Y) = 0[/tex], hence:

[tex]P(X|Y) = \frac{P(X \cap Y)}{P(Y)} = \frac{0}{0.32} = 0[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

Answer:

click the image

Step-by-step explanation:

hope it's helpful

Answer:

a. always, remain

b. always, remain

c. never, not remain, not remain

d. always, an equal distance, all

e. never, would not, all

Step-by-step explanation:

They are all correct, hope this helps -w-

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I