what is the sum for 4x+1 sum using the fewest number of terms?

Answer:

3/4 miles

Explanation:

To know how long the road's total section, we need to multiply the number of workers by the miles that each one resurfaces. So:

Therefore, the total section was 3/4 miles

Answer:

= − 56

Step-by-step explanation:

:D If you want me to explain it I can

Where k is a constant

When y = 36 , x = 3 , z=3

The value of y is 40

Answer: 84 square inches.

Step-by-step explanation:

Side A of shaded: 5+3+3 = 11

Side B of shaded: 3+3+3= 9

11x9= 99

99-(3x5{normal rectangle area})= 84

Answer:

His weekly allowance is $6.

Step-by-step explanation:

You can get the answer by using algebraic expressions.

Let 2x be Azarel's weekly allowance.

Let \(\frac{1}{2}\)(2x) be the amount after Azarel spends his allowance on comic books.

The equation will be: 12=2x+9-\(\frac{1}{2}\)(2x)

Let's solve for x:

Step 1: 12=2x+9-x

Step 2: 12=x-9

Step 3: x=12-9

Step 4: x=3

Step 5: Replace 2x with 2(3) = 6

The answer is $6. This is the allowance of Azarel every week. He spends $3 for comic books weekly, which is half of $6.

After using Arithmetic we'll get - Total of her paycheck $250

What is Arithmetic ?

The study of the characteristics of the standard operations on numbers, including addition, subtraction, multiplication, division, exponentiation, and root extraction, constitutes the fundamental subject of arithmetic. Giuseppe Peano, an Italian mathematician, formalised arithmetic in the 19th century with the help of his Peano axioms, which are still crucial to the modern study of mathematical logic. There are only a few artefacts from the early history of mathematics that may have shown how addition and subtraction were first thought of. The best-known of them is the disputedly interpreted Ishango bone from central Africa, which dates from between 20,000 and 18,000 BC.

The Amount Karen spent:

She lends sister = $21

Buys Groceries = $71

Pays Gym membership = $85

After spending this much she left with $73

The paycheck she receive = 21 +  71 + 85 + 73

                                             = $250

Hence , her paycheck was $250

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The smallest prime number that divides any number of the form 4242424242...42 1 or the form 4242424242...42-1 is 3.

Let us consider any number of the form 4242424242...42 1 or the form 4242424242...42-1,

4242424242...42-1

= (4*10^n-1)

4242424242...42+1

= (4*10^n+1)

Where n is the number of digits in the number.

Now, let us factorize the above numbers,

(4*10^n-1) = 4*(10^n-1)

(4*10^n+1) = 4*(10^n+1)

= 4*(10^n-1)*(10^1+1)

Now, the prime factorization of 10^n-1 is:

10^n-1

= (2^n-1)*(5^n-1)

and the prime factorization of 10^n+1 is:

10^n+1

= (2^n+1)*(5^n+1)

Therefore,

(4*10^n-1)

= 4*(2^n-1)*

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The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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♡Answer:♡

it means when the planes cross each other it is perpendicular to each other i think.

♡Step-by-step explanation:♡

♡ ∩_∩

（„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

Answer:

\(-19,-8,0,\frac{1}{4}, \frac{1}{2}\)

Step-by-step explanation:

Skills required: Ordering a set of numbers

1) \(-8,-19,0,\frac{1}{4}, \frac{1}{2}\) are the numbers we are given. There are 2 important things to think about when ordering this set.

2) Based on this, we can split the 5 numbers into 3 groups:

3) Starting with the negative group, we can easily find which number is greater.

-1 is greater than -2.

-23 is greater than -35.

Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number

4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers

5) Now onto the positive numbers, which is also easily solvable.

When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.

This means that \(\frac{1}{4}\) is the 4th number, and \(\frac{1}{2}\) is the 5th term.

Our ordered pair would then be: \(-19,-8,0,\frac{1}{4}, \frac{1}{2}\)

Hope this helps and have a nice day!! :) :] :D

The table representing this function should be completed as follows:

x        f(x)

-10     -3

-6       -5

-2       -7

0        -8

In Mathematics, the valid and true solutions to any function are referred to as the domain (input value) and they can be determined by substituting the x-values contained in the table into the function as follows;

When x = -10, the range (output value) for this function is given by:

Function, f(x) = -1/2(x) - 8

Function, f(x) = -1/2(-10) - 8

Function, f(x) = 5 - 8

Function, f(x) = -3.

When x = -6, the range (output value) for this function is given by:

Function, f(x) = -1/2(x) - 8

Function, f(x) = -1/2(-6) - 8

Function, f(x) = 3 - 8

Function, f(x) = -5.

When x = -2, the range (output value) for this function is given by:

Function, f(x) = -1/2(x) - 8

Function, f(x) = -1/2(-2) - 8

Function, f(x) = 1 - 8

Function, f(x) = -7.

When x = 0, the range (output value) for this function is given by:

Function, f(x) = -1/2(x) - 8

Function, f(x) = -1/2(0) - 8

Function, f(x) = 0 - 8

Function, f(x) = -8.

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Answer:

Step-by-step explanation:

2000 * .125/12 = $20.83

at $100 remaining balance = $1920.81

at $75 remaining balance   = $1945.81

The direct path back forms a right triangle. Use the Pythagorean theorem:

X = sqrt(4^2 + 2^2)

X = sqrt(16 + 4)

X = sqrt(20) = 2sqrt(5)

X = 4.472

Round the answer as needed.

Answer:

yeah you can

Step-by-step explanation:

what do you need help with lol

The length in centimeters of side OP is 8.

A triangle is a plane figure which is bounded by three straight sides, and has a sum of its internal angle to be 180^o.

Two or more triangles can be referred to as similar if the corresponding sides and measure of corresponding internal angles have some common properties on comparison.

Thus on comparing the corresponding sides of the two given similar triangles, we have;

JK/ ON = KL/ OP

2/ 4 = 4/ OP

2OP = 4*4

       = 16

OP = 16/ 2

     = 8

OP = 8 cm

Therefore, the length of side OP is 8 cm.

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Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

The solution set for the equation |7x| = |10x + 11| is {x = -11/3}.

To solve the equation |7x| = |10x + 11|, we need to consider the cases when the expressions inside the absolute value signs are positive and negative separately.

Case 1: 7x and 10x + 11 are both positive or both negative.

In this case, we can remove the absolute value signs and solve the resulting equation:

7x = 10x + 11

Simplifying the equation:

3x = -11

Dividing both sides by 3, we find:

x = -11/3

Therefore, x = -11/3 is a solution in this case.

Case 2: 7x is positive and 10x + 11 is negative or vice versa.

In this case, we set up two separate equations by changing the sign of one side:

7x = -(10x + 11)   and   -(7x) = 10x + 11

For the first equation, we solve:

7x = -10x - 11

Combining like terms:

17x = -11

Dividing by 17, we get:

x = -11/17

For the second equation, we solve:

-7x = 10x + 11

Combining like terms:

-17x = 11

Dividing by -17, we obtain:

x = -11/17

Therefore, x = -11/17 is a solution in this case as well.

Combining the solutions from both cases, we have:

x = -11/3, -11/17

Hence, the solution set for the equation |7x| = |10x + 11| is {x = -11/3, -11/17}, which corresponds to choice A.

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The argument forms used in the given statements are Modus Tollens, Hypothetical Syllogism, Denying the Antecedent (which is invalid), and Hypothetical Syllogism respectively. These argument forms help establish the logical relationships between the premises and conclusions in each argument.

(a) The argument form is Modus Tollens. Modus Tollens is a valid deductive argument form that follows the pattern:

   If A, then B.

   Not B.

   Therefore, not A.

(b) The argument form is Hypothetical Syllogism. Hypothetical Syllogism is a valid deductive argument form that follows the pattern:

   If A, then B.

   If B, then C.

   Therefore, if A, then C.

(c) The argument form is Denying the Antecedent. Denying the Antecedent is an invalid deductive argument form that follows the pattern:

   If A, then B.

   Not A.

   Therefore, not B.

(d) The argument form is Hypothetical Syllogism. As explained earlier, Hypothetical Syllogism is a valid deductive argument form that follows the pattern:

   If A, then B.

   If B, then C.

   Therefore, if A, then C.

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Answer:

I think 7 is the answer

Step-by-step explanation:

Let l be 4+(2h) and solve

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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According to the hypothesis tested, the confidence interval that would lead us to reject \(H_0: p = 0.3\) in favor of \(H_0: p < 0.3\) is given by:

(b) (0.19, 0.27)

At the null hypothesis, we test if the proportion is of 0.3, that is:

\(H_0: p = 0.3\)

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

\(H_1: p < 0.3\)

We want to reject \(H_0: p = 0.3\) in favor of \(H_1: p < 0.3\), hence we need an interval that is entirely below 0.3, which is given by option b.

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Answer:

if $3000 was reduced from X which is now $16,000 x or the original price is $19,000

Step-by-step explanation:

$19,000- $3,000=$16,000

The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

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Answer:

if your factoring the answer should be (5x-2) (x+2)

Answer:

(5x−2)(x+2)

Step-by-step explanation:

Answer:

the answer is c. 18 degrees

Step-by-step explanation:

Answer:

1. Fraction

2. Percent

3. Ratio

4. Common denominator

5. Denominator

6. Rational number

Step-by-step explanation:

To calculate the probability that a customer does not use a credit card, we need to subtract the percentage of customers who use a credit card from 100%.

Given that 51% of customers use a credit card, the remaining percentage that does not use a credit card is: Percentage of customers who do not use a credit card = 100% - 51% = 49%

Therefore, the probability that a customer does not use a credit card is 49% or 0.49.

To calculate the probability that a customer pays in cash or with a credit card, we can simply add the percentages of customers who pay with cash and those who use a credit card. Given that 16% pay with cash and 51% use a credit card, the probability is:

Probability of paying in cash or with a credit card = 16% + 51% = 67%

Therefore, the probability that a customer pays in cash or with a credit card is 67% or 0.67.

These probabilities represent the likelihood of different payment methods used by customers in the shop based on the given percentages.

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Answer:

3 units to the right, 5 units down