Pls help 0.5a = 2a + 3

9514 1404 393

Answer:

  9.1 cm

Step-by-step explanation:

The law of cosines can be used to find the missing side.

  l² = m² +n² -2mn·cos(L)

  l² = 8² +2.8² -2(8)(2.8)cos(103°) ≈ 81.9178

  l ≈ √81.9178 ≈ 9.0508

The length of l to the nearest tenth centimeter is 9.1 cm.

This value is slightly over 3.33 million dollars

=======================================================

Work Shown:

400,000 dollars represents 12% of the company's total value

Let x be that total value

12% of x = 400,000

0.12*x = 400,000

x = (400,000)/(0.12)

x = 3,333,333.33

Don't forget to round to the nearest cent.

the implied valuation of the company will be around 3.33 millions dollar.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, If you raised $400,000 in a stock sale and gave up 12% of your company.

Since,

12% of your company worth = 400,000

So,

1% of your company = 400,000/12

1% of your company = 100,000/3

Thus,

the valuation for the whole company = 100,000/3 * 100

the valuation for the whole company = 33,33,333.33$

Therefore, the implied valuation of the company will be around 3.33 millions dollar.

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Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

50% of 120 is 60

Step-by-step explanation:

So 60 is half of 120, and 60 times 2 is 50 :)

(Brainliest?)

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Let x as that number ,

So :

\( \frac{50}{100} x = 60 \\ \)

\( \frac{1}{2} x = 60 \\ \)

Multiply sides by 2

\(2 \times \frac{1}{2} x = 2 \times 60 \\ \)

\(x = 120\)

Thus that number is 120 .

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For each relation, we would determine whether or not it is a function as follows;

Relation 1 is: B. not a function

Relation 2 is: B. not a function.

Relation 3 is: B. not a function

Relation 4 is: A. a function.

In Mathematics, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).

This ultimately implies that, an independent value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the value on the y-coordinate of a cartesian coordinate.

Based on relations 1, 2, and 3, we can logically deduce that they do not represent a function because their independent value (domain) has more than one dependent value (range).

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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Answer: Synthetic division and synthetic substitution are both methods used to divide polynomials, but they are used for different types of polynomials and have different steps and procedures.

Synthetic division is a method used to divide a polynomial by a linear binomial of the form (x-c), where c is a constant. It is used to find the quotient and remainder of the division, and it involves a process of simplifying the polynomial using a specific set of steps.

Synthetic substitution, on the other hand, is a method used to divide a polynomial by a polynomial of higher degree. It is used to find the quotient and remainder of the division, and it involves replacing a variable in the polynomial with an expression and then simplifying.

In summary, Synthetic Division is used when dividing a polynomial by a linear binomial and Synthetic Substitution is used when dividing a polynomial by a polynomial of higher degree.

Step-by-step explanation:

Synthetic division is used for polynomial division by a linear factor, resulting in a quotient polynomial. Synthetic substitution, however, is used to find the value of a polynomial function at a given x-coordinate.

Synthetic division and synthetic substitution are both methods used in algebra to evaluate polynomials. However, they differ in their specific applications and the outcomes they provide.

Synthetic division is a method used to divide a polynomial by a linear factor of the form (x - c). It allows for quick and efficient division without the need for long division. The process involves setting up a synthetic division table and performing a series of calculations based on the coefficients of the polynomial. The result is a simplified quotient polynomial.

On the other hand, synthetic substitution is a technique used to evaluate a polynomial function at a specific value of x. It involves substituting the given value into the polynomial and using synthetic division to perform the calculations. The result obtained is the value of the polynomial at that particular x-coordinate.

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The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

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The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

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Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  \(\frac{sum of scores}{number of samples}\)

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = \(\frac{36 + 64}{2}\)

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = \(\frac{36 + 448}{2}\)

                                                    = 242

To be able to determine the corner point that gives us the maximum value in the objective function above, we simply have to plug in these possible points and see which one of the them gives us the highest value.

Let's start with option 1 (13, 0). In here, x = 13 and y = 0. Let's plug it in to the function and solve.

For option 1, the value of the function is 923.

Let's check option 2 at (10, 6). In here, x = 10 and y = 6.

For Option 2, the value of the function is 1,124 and is higher than Option 1.

For Option 3, since it's (0, 0), the function is just equal to 0.

For Option 4, x = 8 and y = 5. Let's plug it in to the function.

The value of the function in Option 4 is 913.

Lastly, for option 5, x = 0 and y = 11.

The value of the function in Option 5 is 759.

Out of the 5 options, the corner point at (10, 6) gave us the maximum value of 1,1,24. Hence, this point maximizes the objective function p = 71x + 69y.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:

x=11

Step-by-step explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!

Answer:

x=11

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

since the y's cancel out, set the first equation equal to the second and solve like you'd normally do.

Answer:

43

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The number has the same digit in its hundreds place and its hundredths place. The digit in the hundreds place is 100 times greater than the digit in the hundredths place (https://ccssmathanswers.com/hundredth-place-in-decimals). Therefore, the value of the digit in the hundreds place is 100 times greater than the value of the digit in the hundredths place.

Therefore, the answer is 100.

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

Answer:

y ≈ 247.500

Step-by-step explanation:

If y varies jointly as x and z, then we know that y = kxz, where k is a constant of proportionality. To find k, we can use the given information that y = 33 when x = 4 and z = 3:

33 = k(4)(3)

Solving for k, we get:

k = 33/(4*3) = 2.75

Now we can use this value of k to find y when x = 9 and z = 10:

y = kxz = (2.75)(9)(10) = 247.5

Rounding to the nearest thousandth, we get:

y ≈ 247.500

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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Answer:

y=1/4x-1/2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

both axes! PLS GIVE BRAINLIEST

Step by step:

Perimeter = Summation of all sides = AB+BC+CD+DA = 2x+2+x+2x+2+x=(6x+4)

⇒6x+4=154

⇒6x=154−4

⇒\(\frac{150}{6x}\)

⇒25=x

The breadth is x=25

The length of the rectangular pool = (2×25+2)=50+2=52m

breadth is 25 and the length is 52

Hope it helps!

\(\blue\star \rm\pink{ Question:}\)

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

\( \\ \\ \)

\(\blue\star \rm\pink{ Given :}\)

\( \\ \\ \)

\(\blue\star \rm\pink{ To ~Find :}\)

\( \\ \\ \)

\(\blue\star \rm\pink{Let :}\)

\( \\ \\ \)

We know:-

\( \bigstar \boxed{ \rm perimeter \: of \: rextangle = 2(length +breadth)}\)

So:-

\( \\ \\ \)

\( \dashrightarrow\sf perimeter \: of \: rextangle = 2(length +breadth) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + 2x +x) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + 3x) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 )+ 2(3x) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 4+ 2(3x) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 4+ 6x\)

\( \\ \\ \)

\( \dashrightarrow\sf 154 - 4 =6x\)

\( \\ \\ \)

\( \dashrightarrow\sf 150 =6x\)

\( \\ \\ \)

\( \dashrightarrow\sf 6x = 150\)

\( \\ \\ \)

\( \dashrightarrow\sf x = \dfrac{150}{6} \)

\( \\ \\ \)

\( \dashrightarrow\sf x = \cancel \dfrac{150}{6} \)

\( \\ \\ \)

\( \dashrightarrow\bf x =25\)

\( \\ \\ \)

Let's Verify value of x:-

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + 2x +x) \\ \)

put value of x in equation

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + \{2 \times 25 \} +25) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + 50+25) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2( 2 + 75) \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 154 = 2(77) \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf 154 =154\)

\( \\ \\ \)

\(\Large \bf\dag LHS = RHS \dag\)

Hence proved

\( \\ \\ \)

Finally Let's find length and breadth of pool:-

\( \\ \\ \)

To find breadth

➙ Breadth = x

➙ Breadth = 25 m

\( \\ \)

To find length

➙ Length = 2 + 2x

➙ Length = 2 + 2(25)

➙ Length = 2 + 50

➙ Length = 52 m

____________________________________☆~

Cheers! all done. :)

All you have to do is see what the answer to 9 x 5= is! It is very simple once you get the hang of it! If you don't know what 9 x 5= is you can count by 5s. If you did the multiplication it is $45!

Answer:

me too (help)

Step-by-step explanation: