12. Mr. Carter is making a dessert using
9/10 pound of peaches and 5/10pound of raspberries. How much more peaches than raspberries is he using?

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Answer:

I would think its the one you picked

Step-by-step explanation:

I dont know for sure. Sorry. You said anything. But i think its the last one. Very sorry if you get it wrong. I will feel horrible. But i hope its right!

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)

\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)

\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)

\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)

\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)

\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)

Answer:

-3(x+2)-7 = 5x + 7

-3x - 6 - 7 = 5x + 7

-3x - 13 = 5x + 7

-20 = 8x

x = -2.5

Answer:

Exact form = x=-5/2

Decimal form = x=-2.5

Mixed number form = x=-2 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

-3(x+2)-7 = 5x + 7

-3x - 6 - 7 = 5x + 7

-3x - 13 = 5x + 7

-20 = 8x

  Divide both sides by 8 to get x by itself

Answer:

$43.50

Step-by-step explanation:

first you must find the original unit, so you divide 2 by 29 to get 1 scarf= $14.50, then you multiply that by three to get $43.50

Hope this helps :)

Answer:

3 scarves cost $43.5

Step-by-step explanation:

First we should calculate the price of one scarf

2 scarves = $29.00

1 scarf = $29.00÷2=$14.5

The cost of one scarf is $14.5

NOW we multiply it by 3; that way we'll find the cost of 3 scarves

1 scarf = $14.5

3 scarves = $14.5×3=$43.5

The cost of 3 scarves is $43.5

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Answer:

Explanation:

We start by declaring the null hypothesis

The null hypothesis here is that OHS averages 65 tardines per day

Now, let us get the alternative

We start by getting the p-value, which is an extension of the z value

The z value can be calculated as:

Now, we get the value:

For a two-tailed test, we have that:

Now, let us get our conclusion

From the value of p, we can see that the result is not significant

Since p is greater than the level of significance, we accept the null hypothesis (The principal's claims) and say there is no convincing evidence that the average number of tardines is different from the principal's claims

Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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The event A is that at least one of the books selected is an even-numbered copy. The event B is that exactly one of the copies selected is a first printing.

A tree diagram to display the 12 outcomes in the sample space would look like this:

1st Selection | 2nd Selection

----------------------------

1 | 2

1 | 3

1 | 4

2 | 1

2 | 3

2 | 4

3 | 1

3 | 2

3 | 4

4 | 1

4 | 2

4 | 3

The event A is that at least one of the books selected is an even-numbered copy. This would include outcomes 1-2, 1-4, 2-1, 2-3, 2-4, 4-1, 4-2, and 4-3.

The event B is that exactly one of the copies selected is a first printing. This would include outcomes 1-3, 1-4, 3-1, 3-2, 3-4, 4-1, 4-2, and 4-3.  

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Answer:

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

60 percentage of the tickets were sold to fans of the home team.

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.

To find the percentage of tickets sold to fans of the home team,

we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:

Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%

Number of tickets sold to home team fans = 90

Total number of tickets sold = 150

Percentage of tickets sold to home team fans = (90 / 150) x 100%

Percentage of tickets sold to home team fans = 0.6 x 100%

Percentage of tickets sold to home team fans = 60%

Therefore, 60% of the tickets were sold to fans of the home team.

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Answer:

Option (c)

Step-by-step explanation:

Slope of a line that passing through two points M(-1, 4) and N(2, -5),

\(m_1\) = \(\frac{y_2-y_1}{x_2-x_1}\)

   = \(\frac{-1-2}{4+5}\)

   = -(\(\frac{3}{9}\))

   = -\(\frac{1}{3}\)

To find the line perpendicular line to MN we will use the property,

\(m_1\times m_2=-1\)

Where \(m_1\) and \(m_2\) are the slopes of two perpendicular lines.

Slope of line perpendicular to MN \((m_2)\) will be,

\(-\frac{1}{3}\times m_2=-1\)

\(m_2=3\)

Slope of line joining two points J(-3, -4) and K(3, -2),

Slope = \(\frac{-4+2}{-3-3}=\frac{1}{3}\)

Slope of line joining two points A(-3, 2) and B(3, 0)

Slope = \(\frac{2-0}{-3-3}=-\frac{1}{3}\)

Slope of the line joining points E(0, -3) and F(2, 3),

Slope = \(\frac{-3-3}{0-2}\) = 3

Therefore, line EF is perpendicular to the line MN.

Option (c) is the answer.

Answer:

3/10 or .3 in decimal form:)

Step-by-step explanation:

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer:

you have to divide 105 by 3

Step-by-step explanation:

Answer:

35 words a minute

Step-by-step explanation:

105/3=35

Answer:

1:3

Step-by-step explanation:

circles:total

2:4+2

=2:6

=1:3

Reason

There are 2 circles and 4+2 = 6 shapes total.

The ratio of circles to total shapes is 2:6 which reduces to 1:3

The order is important since 3:1 is different from 1:3.

Answer:

1000k

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

20 mins=16 pages

40 mins=32 pages

5 mins=4 pages

In total 36 pages

The product of the monomial 4x and the polynomial 3x²y + 7xy⁴ is 12x³y + 28x²y⁴.

The product of a monomial and a polynomial is as follows:

Step 1: multiply the monomial with each term in the polynomial

Step 2: Check for any like terms, if present adds or subtract them as per their sign.

Step 3: thus, we get the product.

The given monomial is 4x and the polynomial is 3x²y + 7xy⁴.

So, their product is

4x × (3x²y + 7xy⁴) = 4x(3x²y) + 4x(7xy⁴)

⇒ (4×3)(x × x²)(y) + (4×7)(x × x)(y⁴)

⇒ 12x³y + 28x²y⁴

Since there are no like terms and do not need any further simplification, the given product is 12x³y + 28x²y⁴.

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Answer:

6 ft 1 inch

Step-by-step explanation:

We know that there are 12 inches in a foot. So we divide 73/12, which gives us  6 remainder 1. So there are 6 ft and 1 inch.

Answer:

6.08 feet

Step-by-step explanation:

converted it on a site and this was it

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The value of x from the figure is 70°

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

x + 50 + 60 = 180 °

x + 110 = 180°

Make 'x' subject

x = 180 - 110

x = 70 °

Thus, the value of x from the figure is 70°

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Answer:

Area

Step-by-step explanation:

Perimeter is around the edges and area covers the entire surface. To paint a wall you want the whole thing covered so area is correct.

Answer: Chet is 6 years old now

Step-by-step explanation:

Chet is 6 years old now and his father is 5 x 6 years = 30 years old now.

In 6 years, Chet will be 12 years old, so his father will be 3 x 12 years old = 36 years old.

Answer:

4 units

Step-by-step explanation:

Since, M is between points C and Q, i. e. C - M - Q.

Therefore, CM + MQ = CQ

Therefore, 17 + MQ = 21

MQ = 21 - 17

MQ = 4

Answer:

M is between points C and Q. CM=17 and CQ=21.

What is MQ?

MQ= is 4, the same as on k12

Step-by-step explanation:

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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