if two dice are rolled one time, find the probability of getting these results a sum of greater than or equal to 11

Answer:

C

Step-by-step explanation:

Answer:

That would be 62.5%

Step-by-step explanation:

That's what I put and it said it was right...

The value of the functions at f(-4) = 21 and f(0) = 13.

To evaluate f(x)=-2x+13 for f(-4) and f(0), we need to substitute the values into the equation and solve:

f(-4) = -2(-4) + 13 = 8 + 13 = 21

f(0) = -2(0) + 13 = 13

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Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

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According to the solution we have come to find that, the equation for the line passing through point A and perpendicular to BC is y = (-5/2)x + 31/2.

what is slope?

In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the vertical change between two points on the line to the horizontal change between those same two points.

Slope is often denoted by the letter m, and can be calculated as:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

A positive slope indicates a line that is increasing from left to right, while a negative slope indicates a line that is decreasing from left to right. A slope of zero indicates a horizontal line, while a slope that is undefined (or "infinite") indicates a vertical line.

To find the equation of the line passing through point A and perpendicular to BC, we need to first find the slope of line BC.

The slope of line BC can be calculated as:

slope of BC = (y2 - y1) / (x2 - x1), where (x1, y1) = B and (x2, y2) = C

slope of BC = (3 - 5) / (2 - 7) = -2 / -5 = 2/5

Since the line we're trying to find is perpendicular to BC, its slope will be the negative reciprocal of the slope of BC. The negative reciprocal of 2/5 is -5/2.

Now, we can use the point-slope form of the equation of a line to find the equation of the line passing through point A and perpendicular to BC. The point-slope form is:

y - y1 = m(x - x1), where (x1, y1) = A and m is the slope we just calculated.

Substituting the values, we get:

y - 8 = (-5/2)(x - 3)

Simplifying this equation gives:

y - 8 = (-5/2)x + 15/2

y = (-5/2)x + 31/2

Therefore, the equation for the line passing through point A and perpendicular to BC is y = (-5/2)x + 31/2.

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Answer: 2z+2

Step-by-step explanation:

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

g(x) = x + 2

Step-by-step explanation:

g(x) = x + 4 - 2

g(x) = x + 2

To find g(x), we need to substitute x+4 for x in the function f(x). This gives us:

g(x) = f(x+4) = (x+4) - 2 = x + 2

So the function g(x) is equal to x+2.

Answer:

f(g(2)) = 8

Step-by-step explanation:

To find f(g(2)), we first need to find g(2):

g(x) = 2x - 3

g(2) = 2(2) - 3 = 1

Now that we know g(2) is 1, we can find f(g(2)):

f(x) = -2x^2 + 4x + 6

f(g(2)) = f(1) = -2(1)^2 + 4(1) + 6 = 8

Therefore, f(g(2)) = 8

Given:

\(f(x)=4x^3-5x^2-3x+2\)

\(g(x)=x-3\)

To find:

The remainder when f(x) is divided by g(x).

Solution:

According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).

Using remainder theorem, if \(f(x)=4x^3-5x^2-3x+2\) is divides by \(g(x)=x-3\), then remainder is f(3).

Substitute x=3 in f(x).

\(f(3)=4(3)^3-5(3)^2-3(3)+2\)

\(f(3)=4(27)-5(9)-9+2\)

\(f(3)=108-45-7\)

\(f(3)=56\)

Therefore, the required remainder is 56.

Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

Answer:

I can't see the photo very well.

Answer:

Z=25

Step-by-step explanation:

Angle C and D are Supplementary so

3z-15+7z-55=180

10z-70=180

10z=250

z=25

Answer:

Donald

Step-by-step explanation:

Given that :

BRUCE :

score (x) = 500

League average (m) = 620

Standard deviation (σ) = 20

DONALD:

score (x) = 520

League average (m) = 625

Standard deviation (σ) = 25

Take standardized score of both Bruce and Donald

BRUCE:

Zscore = (x - m) / σ

Zscore = (500 - 620) / 20

Zscore = - 120 / 20

Zscore = - 6

DONALD:

Zscore = (x - m) / σ

Zscore = (520 - 625) / 25

Zscore = - 105 / 25

Zscore = - 4.2

Bruce's standardized score is lesser Than Donald's. Hence,

Donald has a higher three-game series score ;

The patient consumed 1547.1098 milliliters of fluids in total. By converting the given units into milliliters, we get the required value.

The required conversions are:

1 ounce (oz) = 29.5735 ml

1 cup  = 236.588 ml

1 tbsp = 14.7868 ml

Given that, a patient consumed the following fluids:

1) 1000 ml of IV

2) 4 oz of juice ⇒ 4 × 29.5735 ml = 118.294 ml

3) 8 oz of milk ⇒ 8 × 29.5735 ml = 236.588 ml

4) 1/2 cup of chicken broth = 236.588/2 = 118.294 ml

5) 5 tbsp of jello = 5 × 14.7868 ml = 73.9338 ml

So, the total milliliters of liquid taken by the patient is

= 1000 + 118.294 + 236.588 + 118.294 + 73.9338 = 1547.1098 ml

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Answer:

if its before bed time I think it is A

Step-by-step explanation:

Answer: 1

Step-by-step explanation: STEPS USING DERIVATIVE RULE FOR SUM

x+11

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

x

1−1

Subtract 1 from 1.

x

0

For any term t except 0, t

0

=1.

1

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer: 12 36 and 48

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

Answer:

100°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

180°-30°-50°=100°

The length of each side of the square will be 1 yard.

A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

The square's perimeter is four times as long as its side.

For a square with a side length of a unit, we get:

Perimeter of the square = 4a unit

A square has a perimeter of 4 yards. Then the length of each side of the square will be given as,

4 = 4a

a = 1 yard

The length of each side of the square will be 1 yard.

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The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

\(\frac{140}{3}, \frac{140}{3}, \frac{140}{3}\)

Step-by-step explanation:

Let the numbers be \(x, y\ and\ z.\)

Such that:

\(x + y + z = 140\)

Make z the subject

\(z = 140 -x - y\)

For their product to be maximum, we have:

\(f(x,y,z) = xyz\)

Substitute \(z = 140 -x - y\) in \(f(x,y,z) = xyz\)

\(f(x,y) = xy(140 - x - y)\)

Open bracket

\(f(x,y) = 140xy - x^2y - xy^2\)

Differentiate w.r.t x and y

\(f_x=140y - 2xy - y^2\)

\(f_y=140x - x^2 - 2xy\)

Since the products are maximum, then \(f_x = f_y = 0\)

For \(f_x=140y - 2xy - y^2\)

\(140y - 2xy - y^2 = 0\)

Factorize:

\(y(140 - 2x - y) = 0\)

Split

\(y = 0\ or\ 140 - 2x - y = 0\)

Make y the subject

\(y = 0\ or\ y = 140 - 2x\)

For \(f_y=140x - x^2 - 2xy\)

\(140x - x^2 - 2xy = 0\)

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

Substitute y = 0

\(140x - x^2 -2x*0 = 0\)

\(140x - x^2 = 0\)

Factorize

\(x(140 - x)= 0\)

\(x = 0\ or\ 140-x = 0\)

\(x = 0\ or\ x = 140\)

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

Substitute \(y = 140 - 2x\)

\(140x - x^2 - 2xy = 0\)

\(140x - x^2 - 2x(140 - 2x) = 0\)

\(140x - x^2 - 280x + 4x^2 = 0\)

Re-arrange

\(4x^2 -x^2 +140x - 280x = 0\)

\(3x^2 -140x = 0\)

Factor x out

\(x(3x - 140) = 0\)

Divide through by x

\(3x - 140 = 0\)

\(3x = 140\)

\(x = \frac{140}{3}\)

Recall that: \(y = 140 - 2x\)

\(y = 140 - 2 * \frac{140}{3}\)

\(y = 140 - \frac{280}{3}\)

Take LCM

\(y = \frac{140*3-280}{3}\)

\(y = \frac{140}{3}\)

Recall that:

\(z = 140 -x - y\)

\(z = 140 - \frac{140}{3} - \frac{140}{3}\)

Take LCM

\(z = \frac{3 * 140- 140 - 140}{3}\)

\(z = \frac{140}{3}\)

Hence, the numbers are:

\(\frac{140}{3}, \frac{140}{3}, \frac{140}{3}\)

Answer:

See below ....none of your answer choices  'fit'

Step-by-step explanation:

Break it into two pieces....a triangular prism and a square pyramid

prism volume = (area) * length

                      ( 1/2 base * height)     *  length  

     Use pythagorean theorem to find height of triangular prism = 12

                            1/2 * 12 * 9   * 21 = 1134 km^3

Pyramid volume = 1/3 base * height =

               =   1/3  *   (9*21)    *    7 = 441 km^3

Summed = 1575 km ^3          

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

The percentage decrease = 0.9%

Step-by-step explanation:

Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

                                    = [(9.80 - 9.71 ) / (9.80)] × 100

                                    = [0.09 / 9.80] × 100

                                    = 0.009 × 100  

                                    = 0.9%

Therefore, the percentage decrease = 0.9%

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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