56.12 × 49= ???
send help

Answer:

The missing number should be 20.

We can rewrite the equation as:

2023 × 2003 = 203 × 2023 + 20 × 2023

Simplifying the right-hand side:

2023 × 2003 = 203 × 2023 + 40460

Now we can see that the penguin is covering the number 20.

Answer:

x-6+6(6+6+6)X I am a pro boiiiiii

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

ask in English then I can help u

Answer:

6x+23

Step-by-step explanation:

\(3(2x+6)+5\\\\=6x+18+5\\\\=6x+23\)

Answer:

42.7 megabytes

Answer: 5,974.77

Step-by-step explanation:

by trigonometry the magnitude of the force P so that the resultant force exerted on the stake is vertical. The magnitude of the force is 196.6 N.

When a force system acts on an item, the difference between the forces is referred to as the Resultant force. When an item is under the influence of two or more forces, the combined force may be calculated by adding up the separate forces. The forces in all directions will be the same for all the forces if they are all acting in the same direction. The SI unit for resultant force is the Newton.

Given that,

α = 30°

Using the triangle rule, and the law of sines:

120 N / Sin 30° = P / Sin 25°

or, P =  (Sin 25° /  Sin 30°) × 120

or, P = 101.428 N

or, P = 101.4 N

and also, θ = 180 - 25 - 30

θ = 125°

the value of resultant is:

120 N / Sin 30° = R / Sin 25°

or, R = 196.6 N

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Answer:5/2

Step-by-step explanation:

Step-by-step explanation:

Lowest common multiple (LCM) of 4 and 3 = 12.

Therefore 3/4 + 2/3

= 9/12 + 8/12

= 17/12 or 1 5/12.

Answer:

1 5/12

Step-by-step explanation:

To do this, we need to find the LCM of 4 and 3. The LCM of 4 and 3 is 12. Now, since 4x3 is 12, we multiply 3/4 by 3/3 to get 9/12. Now, we multiply 2/3 by 4/4 (since 3x4 is 12) to get 8/12. Now, we add only the top numbers to get 17/12. To simplify this, we divide 17 by 12 (check attached screenshot). The quotient (the answer) becomes the whole number, the divisor (12) becomes the denominator, and the remainder (5) becomes the numerator. This gets us 1 5/12.

The cost of 12.49 is fixed, while the extra cost for toppings is 1.5 per topping.

If we have a total of t topping, the cost of the toppings will by 1.50t, adding the fixed cost, we will have the total cost, which should be equal to d. so we have the equation:

Now, we can manipulate the equation to check which ones are equivalent to it.

As we can see, the first one is missing the 1.50, so it is not equivalent.

The second have the 1.50, it is just inverted:

So, it is equivalent.

The third had the t and d switched, so it is not equivalent.

The fourth get the 1.50t to the other side, but don't change the sign accordingly, so it is not equivalent.

The fifth solved for t let's do that:

So, it is equivalent.

The sixth don;t distribute the denominator correctly, so it is not equivalent.

So, the alternatives that are equivalent are:

The second and fifth.

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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The coordinates of the vertex of the given parabola \(y=x^2+5x+10\) will be \((\dfrac{5}{2},\dfrac{15}{4})\).

Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.

The given equation of parabola is \(y=x^2 + 5x + 10\).

To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.

So, write the equation of parabola in its standard form as,

\(y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2\)

The standard form of parabola is,

\(y-b=(x-a)^2\) where (a, b) is the coordinate of the vertex.

So, by comparing the equations, the vertex of the parabola will be \((\dfrac{5}{2},\dfrac{15}{4})\).

Therefore, the coordinates of the vertex of the given parabola \(y=x^2+5x+10\) will be \((\dfrac{5}{2},\dfrac{15}{4})\).

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The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

4.3 *10^3

Step-by-step explanation:

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

Answer:

$63.14

Explanation:

I got it right on the test

The thirteenth term of this arithmetic progression a + b, 2a, 3a − b, ..... is a₁₃ = 13a - 11b.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2a - (a + b) = 2a - a - b

Common difference, d = a - b

Substituting the given parameters into the formula, the 13th term of this arithmetic sequence is given by;

a₁₃ = (a + b) + (13 - 1)(a - b)

a₁₃ = (a + b) + (12)(a - b)

a₁₃ = a + b + 12a - 12b

a₁₃ = 13a - 11b.

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Answer:

Answer:

She has to wait longer for the last day of school. She will have to wait 2 more weeks for the last day of school compared to her birthday.

Step-by-step explanation:

If each month is four weeks, this means that 3 months will be 12 weeks. (3×4=12)

Mrs. Fabrizio's birthday is in 10 weeks and the last day of school will be in 12 weeks so she has to wait longer for the last day of school.

Answer:

3 times larger

Step-by-step explanation:

I'm not a hundred percent sure but I'm pretty sure it is.

hope this helped ;)

Answer:

36 blues

Step-by-step explanation:

Answer:

36 blue Candies

Step-by-step explanation:

Let

x ----> the number of blue Candies

y ----> the number of yellow Candies

we know that

The ratio of blue candied and yellow candies is 3:5

Step-by-step explanation:

The ratio of blue candied and yellow candies is 3:5

so

x = 3

y 5 -----> equation A

the bag contains 60 yellow Candies

so

y=60 ----> equation B

substitute equation B in equation A

r 3

60 5

solve for x

x=3 (60) = 36

5

The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

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Answer:

\(pressure = \frac{force}{area} \\ = \frac{40}{5} \\ = 8 \: N {m}^{ - 2} \)

i is expression is equivalent to i233.

Given i233

We know that i2 = -1 , if we square (i2) we get (-1)2 = 1

So, if i is multiplied to (i2), we get i3 = (-1).i = -i

Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1

Hence, all even powers of i after 2, will give answer as 1

The sequence will continue as a cycle as i, -1, -i, 1

So, i233 can be rewritten as i232 + 1= i232.i

i233 = (i2)116 .i = (-1)116 . i

Since the power 116 is even , the term becomes 1.i = i

Therefore, i233 = i

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