log2 (M) + log3 (N)
how do you solve??

Answer:

Yes

Step-by-step explanation:

for pens you are adding 3 each time

for boxes you are adding 1 each time

it is correct because they all have the same unit rate

3/1=3

6/2=3

9/3=3

12/4=3

We have the following linear equation:

5x - 2y = -10

In the standard form, we have:

-2y = -5x - 10

y = 5x/2 - 5

For x = 0, we have y = -5, and, for y = 0, we have x = 2

Therefore, to graph this equation, we just need to draw a line passing through (0,-5) and (2,0).

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

The volume of a rectangular prism is 320 m³.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

1) Given that, base area is 40 m² and height is 8 m.

So, the volume = 40×8

= 320 m³

2) 2) In the basketball game, Scott attempted 14 free throws.

He made half of them = 14/2

= 7

So, he made 7 throws

3) Today's high is 47 degrees Fahrenheit.

The weatherman says it will hit freezing tonight.

So, the temperature is represented as -47 degrees.

4) The given numbers are 5489 and 6752

Now, the sum is 5489 +6752

= 12241

Estimated to the nearest thousand as 12000.

5) Jace had 38 paper airplanes at home.

Christopher gave him 14 more paper airplanes to play with at home. Then Ameera gave him 29 paper airplanes.

So, total airplanes= 38+14+29

= 81

So, Jace had total 81 paper airplanes.

Therefore, the volume of a rectangular prism is 320 m³.

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The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Answer:

The answer is C

Step-by-step explanation:

the last one

\(3(4 - x) + 6x = 4x + 12 - x\)

HOPE THIS HELPS!

Answer:

A. Try it.

Step-by-step explanation:

I haven't did this in ages but I multiplied 16 x 3.14 Divvied by two which would be 25 multiply that by two and your answer is 50.24.

Answer:

The answer is 53+(-28)

Step-by-step explanation:

53 - 28 = 25

53+(-28)

the addition sign turns to the subtraction sign causing it to be equivalent to 53 - 28

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

\(\boxed{x=4}\)

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

The expression that gives the closest estimate of 327+171 is  325+175.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Here, we have

Given: 327+171

We have to find the closest estimate of the given expression.

We concluded that the closest estimate of the given expression is 325+175.

327 is close to 325.

175 is close to 325.

Hence, The expression that gives the closest estimate of 327+171 is  325+175.

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Answer:

9999

Step-by-step explanation:

Given

(100 + 1)(100 - 1) ← these are the factors of a difference of squares.

a² - b² = (a + b)(a - b) , thus

(100 + 1)(100 - 1)

= 100² - 1

= 10000 - 1

= 9999

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer: 201

Step-by-step explanation: Ok this is very simple for those of you who are stuck on this. First you divide 12 by 268. You would get 22 with a remainder of 4. This in fractions would be 22 1/3. So he would be driving 22 1/3 miles with 1 galloon of gas. If you multiply this by 9 you would get 201 miles which is how much he can drive in 9 gallons of gas.

Hoped this helped!

Answer:

If 400 ml of squash is made by mixing 50 ml of cordial with water, then the remaining volume is water.

The volume of water used in making the squash = 400 ml - 50 ml = 350 ml

The fraction of the drink that is water is:

Water volume / Total volume = 350 ml / 400 ml = 7/8

Therefore, 7/8 of the drink is water.

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

We know that 400ml squash = 50ml of Cordial With Water.

Therefore in 400ml of squash, amount of water will be 400ml - 50ml = 350ml of water.

In fraction form, this will be \(\frac{350}{400} =\frac{7}{8}\)

Hope it helps

The Bayesian odds of QA to QS given that a bug was found is 0.22:1.

Let P(Ar) and P(St) be the proportions of biomes sent to Arstotzka and Stardew respectively, which is 0.32 and 0.68 respectively.

Let P(bug|QA) and P(bug|QS) be the probabilities of finding a bug given that a biome was sent to QA and QS respectively, which is 0.13 and 0.55 respectively.

The probability of finding a bug is given by:P(bug) = P(bug|QA) × P(QA) + P(bug|QS) × P(QS)

Substituting the values, we get:P(bug) = 0.13 × 0.32 + 0.55 × 0.68= 0.4164

Let A be the event that a biome was sent to Arstotzka, and B be the event that a bug was found.

Then, we need to find the Bayesian odds of QA to QS given that a bug was found, which is given by:

Bayesian odds = (P(A|B) / P(St|B)) × (1 - P(A) / P(St))

Substituting the values, we get:

Bayesian odds = (P(B|A) × P(A) / P(B|St) × P(St)) × (1 - P(A) / P(St))P(B|A) = P(A ∩ B) / P(A) = P(B|A) × P(A) / P(bug) = (0.13 × 0.32) / 0.4164 = 0.0998

P(B|St) = P(St ∩ B) / P(St) = P(B|St) × P(St) / P(bug) = (0.55 × 0.68) / 0.4164 = 0.9022

P(A|B) = P(B|A) × P(A) / P(B) = (0.13 × 0.32) / 0.4164 = 0.0998 / 0.4164 = 0.2398

P(St|B) = P(B|St) × P(St) / P(B) = (0.55 × 0.68) / 0.4164 = 0.9022 / 0.4164 = 2.1688

Bayesian odds = (P(A|B) / P(St|B)) × (1 - P(A) / P(St))= (0.2398 / 2.1688) × (1 - 0.32 / 0.68)= 0.22:1

Therefore, the Bayesian odds of QA to QS given that a bug was found is 0.22:1.

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Answer:

Your answer is: D) 27

Step-by-step explanation:

Hope this helped : )

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

the vertex is (-6,8)

axis of symmetry is x=-6

all i can do for now

Step-by-step explanation:

The values of x are 3.68 and -1.35 the equation \(3x^{2} - 7x + 4 = 19\).

What is a quadratic equation?

A quadratic equation is a second-degree polynomial equation in a single variable, typically written in the form:

\(ax^{2} + bx + c = 0\)

To solve the quadratic equation \(3x^{2} - 7x + 4 = 19\), we need to rearrange it into the form a\(x^{2}\) + bx + c = 0, where a, b, and c are coefficients.

Subtracting 19 from both sides of the equation, we get:

\(3x^{2} - 7x + 4 = 19\)

\(3x^{2} - 7x - 15 = 0\)

The quadratic formula can now be used to determine the answers for x:

\(x = \frac{(-b\pm\sqrt{b^2-4ac})}{2a}\)

For our equation, a = 3, b = -7, and c = -15.

x = \(\frac{-(-7)\pm\sqrt{((-7)^2 - 4(3)(-15))}}{(2)(3)}\)

  = \(\frac{-(-7)\pm\sqrt{49+180}}{6}\)

  =\(\frac{-(-7)\pm\sqrt{229}}{6}\)

So,

x₁ =\(\frac{7+\sqrt{229} }{6} = 3.68\)

x₂ =\(\frac{7-\sqrt{229} }{6} = -1.35\)

Therefore, the solutions to the equation \(3x^{2} - 7x + 4 = 19\), rounded to two decimal places, are x₁ ≈ 3.68 and x₂ ≈ -1.35.

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Hey there! :)

Answer:

p(x) = 6x - 15

Step-by-step explanation:

If p(x) = r(x) - c(x), subtract the two equations. Therefore:

p(x) = 10x - (4x + 15)

p(x) = 10x - 4x - 15

Combine like terms and simplify:

p(x) = 6x - 15

Answer:

6x-15

Step-by-step explanation:

P(x) = r(x) - c(x)

      = 10x - (4x+15)

 Distribute the minus sign

    = 10x-4x -15

 Combine like terms

    = 6x-15

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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For arbitrary sets A, B, and C, using Set Equivalence Rules, we can prove that A∩(B−C)=(A∩B)−(A∩C).

To prove A∩(B−C)=(A∩B)−(A∩C), follow these steps:

Hence, we have proved that A ∩ (B - C) = (A ∩ B) - (A ∩ C) using Set Equivalence Rules.

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The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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The answer to number 1 is 2/9 of her paycheck. The answer to number 2 is 3/5. Its square is 9/25 which is in between 1/3 and 1/2. It's reciprocal is 5/3 which is in between 1 and 2. It is also in simplest form.

Answer:

102

Step-by-step explanation:

Let x be the amount of money John spends.

x/2-5=46

x/2=51

x=102

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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