what number is that which if increased by 20 of itself equals 48

To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,

                    F(x) = 2^x

will become,

                    F(-4) = 2^(-4) = 1/16 or 0.0625

Step-by-step explanation:

Drone motor that has a power of 25W. 1- What will be the working voltage of said motor if it has a consumption of 1.5A? 2- What will be the resistance of said motor?

Power of drone motor is 25 W

Current flowing through the motor is 1.5 A

Power of an electrical appliance is given by :

P = VI

V = working voltage of the motor

\(V=\dfrac{P}{I}\\\\V=\dfrac{25}{1.5}\\\\V=16.67\ V\)

Voltage of the motor is 16.67 volts

Let R is the resistance of the motor. Using Ohm's law to find it as follows :

V=IR

\(R=\dfrac{V}{I}\\\\R=\dfrac{16.67}{1.5}\\\\R=11.113\ \Omega\)

Hence, this is the required solution.

The given equation is:

375 = x - 28

To solve the equation:

Collect like terms

The -28 crosses the equality sign to the left and becomes 28

The equation then becomes:

375 + 28 = x

x = 403 (correct answer)

The students error is that when he collected like terms, he did not change the "-" sign in -28 to +

He did 375 - 28 = x

x = 347 (wrong)

Answer:

(2 and 3 fourths)(5 and 1 third)

=14.66

Answer:

C. :)

Hope it helps

Step-by-step explanation:

Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

Answer:

you have it correct sir

Step-by-step explanation:

Answer:

es la tercera amiga yo pienso

The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + 12x

Now, We can change the function into the form,

f (x) = (x - h)² + k

Where, (h, k) is vertex.

Here, The function is,

⇒ f (x) = x² + 12x

⇒ f (x) = x² + 12x + 36 - 36

⇒ f (x) = (x + 6)² - 36

⇒ f (x) = (x - (- 6))² + (- 36)

Hence, By comparing,

Vertex = (h, k) = (- 6, - 36)

Thus, The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

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Answer:

steps below

Step-by-step explanation:

1. 1 + 1/2*(n-1) : 3, 7/2, 4, 9/2

2. 1 + 1/3*(n-1): 7/3, 8/3, 9/3, 10/3

3. 3/2 + 1/2*(n-1): 4, 9/2, 5

4. 1, 4, 16, 19, 76...79, 316, 319, 1276  ...  

Answer:

3^3/3^4

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

152

+31

---------

182

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

17) You need a time line for question.

18) 100

19) 5 to the 4th power

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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Answer: b

Step-by-step explanation: b

Answer:

1004 is the correct awnser

Step-by-step explanation:

pls give me brainliest

Answer:

1004

Step-by-step explanation:

one thousand  = 1000

four = 4

1000+4 =1004

87.5

25x7=175

175/2=87.5

Answer:

-10 / -2/5

Step-by-step explanation:

-10 / -2/5 = 25

25 is greater than 10

Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

Answer:

The answer is 7

Step-by-step explanation:

To find the x intercept of graph put

\(y = 0 \\ then \\ 2x - 14 = 0 \\ 2 \times = 14 \\ x = 7\)

Answer:  A. 2 17 /21

Step-by-step explanation:you divide them.You change both mixed number to improper fraction.which is 236  /9  divide  28 /3.You do kcf which stand for KEEP CHANGE FLIP.YOU KEEP 236/9 and change Divide to mulipction sign and flip 28/3 to 3/28.You multiply236  /9  and  28/3 which gives u 708  /252.After that u simply it to 59 /21 .Lastly change back to mix number which is 2 17/21.

Hope it helps bye ;)

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer:

m<DCB=34

Step-by-step explanation:

90-56=34

The m<DCA would be 56, not the m<DCB

a. when we take the derivative of a sum of functions, we can differentiate each function separately and add their derivatives. b. the empty set represents the absence of elements or the set with no members. It plays a fundamental role in set theory and is used in various mathematical contexts.

(a) The summation rule, also known as the sum rule or the addition rule, states that the derivative of the sum of two functions is equal to the sum of their derivatives. Mathematically, if we have two functions f(x) and g(x), then the summation rule can be stated as:

\(dxd​ [f(x)+g(x)]= dxdf(x)​ + dxdg(x)​\)

In other words, when we take the derivative of a sum of functions, we can differentiate each function separately and add their derivatives.

(b) The symbol "{}" denotes the empty set or the null set. In set theory, the empty set is a set that contains no elements. It is denoted by the symbol "{}" or "∅". The definition of the empty set is as follows:

The empty set, denoted by "{}" or "∅", is a set that does not contain any elements. In other words, there is no object that belongs to the empty set. It is a unique set with the property that for any set A, the empty set is a subset of A. Formally, we can define the empty set as:

∅ = {x | x is not true}

Essentially, the empty set represents the absence of elements or the set with no members. It plays a fundamental role in set theory and is used in various mathematical contexts.

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The Venn diagram that represents the result of the survey is; Venn Diagram in Option A

Venn diagrams are used in sets in mathematics to group the union and intersection of subsets.

We are told that;

Number of students that enjoyed country = 32

Number of students that enjoyed jazz = 14

Number of students that enjoyed both country and jazz = 8

Now, the number of the students that enjoyed country and jazz should be the intersection of both circles in the venn diagram.

Secondly number of students that listened to only country = 32 - 8 = 24

Number that listened to only jazz = 14 - 8 = 6

Thus, the only correct option is Option A

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