Select the correct anwer. What i the value of thi expreion when c = -4 and d = 10?
A. 2
B. 9
C. 21
D. 41
Reet

Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

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Answer:

31.5 (rounded)

Step-by-step explanation:

Answer:

5 ∛249

≈ 31.45597 (In decimal form)

Step-by-step explanation:

Answer:

11.1 units

Step-by-step explanation:

We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A(5,2), B(5,4), and C(1,1).

For AB = √(x2 - x1)² + (y2 - y1)²

= A(5,2), B(5,4)

= √(5 - 5)² +(4 - 2)²

= √ 0² + 2²

= √4

= 2 units

For BC = √(x2 - x1)² + (y2 - y1)²

= B(5,4), C(1,1)

= √(1 - 5)² +(1 - 4)²

= √ -4² + -3²

= √16 + 9

= √25

= 5 units

For AC = √(x2 - x1)² + (y2 - y1)²

A(5,2), C(1,1)

= √(1 - 5)² + (1 - 2)²

= √-4² + -1²

= √16 + 1

= √17

= 4.1231056256 units

The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC

= 2 units + 5 units + 4.1231056256 units

= 11.1231056256 units.

Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units

Answer:

Exact form : - 27/40

Decimal form : -0.675

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

I hope this helps you out! :)

When you divide the circumference of a jack-o'-lantern by its diameter, you get the mathematical constant pi, which has many important applications in various fields of science and technology.

When you divide the circumference, you get a mathematical constant called pi, denoted by the symbol π. Pi is a non-repeating, non-terminating decimal that represents the ratio of the circumference of a circle to its diameter. Its value is approximately 3.14159, but it extends infinitely without repeating or terminating.

The fact that the ratio of the circumference of a circle to its diameter is always the same value, pi, is a fundamental concept in mathematics and has numerous applications in science, engineering, and technology.

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The name for a data value that is far above or below the rest of the data values is called an outlier. This is a value that is considerably distinct from the others in a set of data, indicating a probability or error in the measurement or computation of the data values.

The box-and-whisker plot is a graph that can be used to identify outliers and the location of the median, quartiles, and other statistical data points. The line plot, scatter plot, and histograms are some other graphical representations that help identify outliers when analyzing datasets. Additionally, outliers that are considered extreme or significant are often removed when calculating statistics like mean or standard deviation in order to avoid skewing the results.

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Answer:

\(a\leq 3\)

Step-by-step explanation:

\(a-7\leq -4,\\a\leq3\)

When graphed, an arrow should be drawn pointing left with a solid dot on -3. Since the inequality line provided is not labelled, choose any vertical line and mark it as -3. Then add a solid circle and draw an arrow left, representing that the solutions of this inequality are all real numbers less than -3.

Answer:

A. 26.8

Step-by-step explanation:

268/10

The value of angles ∠A and ∠B is equal to 40°.

Given is that ∠A = 5x − 5 and ∠B = 3x + 13

We can write -

∠A = ∠B            {Vertically opposite angles}

5x − 5 = 3x + 13

5x - 3x = 18

2x = 18

x = 9

So, we can write -

∠A = 5x − 5 = 40°

∠B = 3x + 13 = 40°

Therefore, the value of angles ∠A and ∠B is equal to 40°.

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The new earned value in week 10 can be calculated by multiplying the total planned value of the project by the progress percentage achieved in week 10. To compare the performance at week 10 with week 8, we can calculate the Cost Performance Index (CPI) and Cost Variance (CV).

To calculate the new earned value in week 10, we multiply the total planned value by the progress percentage achieved in week 10. Let's assume the total planned value for the project is RM100,000. The earned value in week 10 would be 75% of RM100,000, which is RM75,000.

To compare the performance at week 10 with week 8, we calculate the Cost Performance Index (CPI) and Cost Variance (CV). The CPI is calculated by dividing the earned value by the actual cost. If the actual cost spent in week 10 is RM6,000, the CPI would be RM75,000 (earned value) divided by RM6,000 (actual cost), which equals 12.5.

The CV is calculated by subtracting the actual cost from the earned value. In this case, the CV would be RM75,000 (earned value) minus RM6,000 (actual cost), which equals RM69,000.

To calculate the FCAC, we add the actual costs incurred in week 9 and week 10 (RM5,000 + RM6,000) to the planned costs for the remaining phases. Let's assume the planned costs for the remaining phases are RM40,000. The FCAC would be RM5,000 + RM6,000 + RM40,000, which equals RM51,000.

The TCPI is calculated by dividing the remaining budget by the remaining work. If the remaining budget is RM40,000 and the remaining work is 25% (100% - 75%), the TCPI would be RM40,000 divided by 25%, which equals RM160,000.

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Answer:

The correct options are;

A. \(-\dfrac{8}{3} \ miles\)

D.  \(2\dfrac{2}{3} \ mile\) below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = \(2\dfrac{2}{3} \ mile\) below sea level

Therefore, the correct options are;

-8/3 mile and  \(2\dfrac{2}{3} \ mile\) below sea level.

Answer:

y > Two-thirdsx + 3

Step-by-step explanation:

Hope this helped!

Answer: is 2/3 i got this because rise over run is how we go so i started at the point (0,3) than went up 2 spaces than right 3 so overall the answer is 2/3. B

Step-by-step explanation:

i hope this helps if it does lmk and have a brilliant day :D with a smile of course

Answer:By solving a system of equations, we will see that the function is continuous for all values of x

Step-by-step explanation:

Answer:

I am unable to solve this problem

Step-by-step explanation:

I am unable to solve this problem

Answer:

C. b = 0 and b = 4

Step-by-step explanation:

The answer to your problem is C if you're talking about a test with the equation 5/3b^3-2b^2-5 = 2/b^3-2

The equation of the given graph is y = (x + 4)² -5.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The vertex form of a parabola is y = (x - h)² + k which is opened upward direction and vertex is (h, k).

From the graph, the vertex of the quadratic equation is (-4, -5)

Thus h = -4 and k = -5.

Putting h = -4 and k = -5 in y = (x - h)² + k

y = (x - (-4))² + (-5)

y = (x + 4)² -5

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Refer the attached image for the answer

HOPE SO IT HELPS YOU

The given box plot answers are,

a) 6

b) 5

c)3

d) 5

What is box plot?

   A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.

Here in the given box plot middle line value is called median .Then ,

Median = 6

Now the maximum quartile = 8

The minimum quartile = 3

Now IQR is difference between the minimum and maximum quartile.

Then ,

=> IQR = 8-3 =5

Therefore the answers are

a) 6

b) 5

c)3

d) 5

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Answer:

1)$400

2)$900

3)$655

Step-by-step explanation:

1) 12x20=240 - monthly payments

240+160=400 - monthly pay plus the deposit

2) 12x50=600 - monthly payments

600+300=900 - monthly pay plus the deposit

3)12x40=480 - monthly payments

480+175=655  - monthly pay plus the deposit

Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

Answer:

it is the first option

Step-by-step explanation:

First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew

Answer:

A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.

Step-by-step explanation:

For a distribution that is symmetric, the left whisker is the right whisker. The correct choice that completes the sentence is, "True".

Explanation: A box plot is a graphical representation of a set of data through a five-number summary (minimum, maximum, median, and first and third quartiles). It is also called the box-and-whisker plot. The graph is divided into four equal parts, with the box representing the second and third quartiles, the line in the box showing the median or second quartile, and the whiskers representing the range of the data.

Let's see the figure of a box plot: For a distribution that is symmetric, the left whisker is the right whisker. This statement is true. The distribution of data that is symmetrical has data that is evenly distributed around the median. The distribution is a normal distribution in most cases. Therefore, the left whisker of a box plot will be similar to the right whisker of a box plot.

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Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

The integral of f(x,y,z)=8xz over the region in the first octant (x,y,z≥0) above the parabolic cylinder \(z=y^{2}\) and below the paraboloid \(z=8-2x^{2} -y^{2}\) is 128/9.

The first step is to find the bounds of integration. The region in the first octant (x,y,z≥0) is bounded by the planes x=0, y=0, and z=0.

The parabolic cylinder z=y2 is bounded by the planes x=0 and \(z=y^{2}\). The paraboloid \(z=8-2x^{2} -y^{2}\) is bounded by the planes x=0, y=0, and z=8.

The next step is to set up the integral. The integral is:

\(\int\limits {0^{1} } \int\limits {0^{\sqrt{x} } }\int\limits {y^{8}-2x^{2} -y^{2} 8xzdxdy\)

We can evaluate the integral by integrating with respect to z first. The integral with respect to z is:

\(8x^{2} (8-2x^{2}-y^{2} )-8xy^{2} -y^{8} -2x^{2} -y^{2}\)

Simplifying this expression, we get the equation:

\(8x^{2} (8-2x^{2}-y^{2} )-8xy^{2}\)

We can now integrate with respect to x. The integral with respect to x is:

\(4(8-2x^{2}-y^{2} )^{2} -4xy^{2}-0^1\)

Simplifying this expression, we get the equation:

\(4(8-2x^{2}-y^{2} )^{2} -4xy^{2}\)

We can now integrate with respect to y. The integral with respect to y is:

\(4\frac{(8-2-y)^{3} }{3} -4y^{3} -0^1\)

Simplifying this expression, we get the equation:

\(\frac{128}{9}\)

Therefore, the integral of f(x,y,z)=8xz over the region in the first octant (x,y,z≥0) above the parabolic cylinder \(z=y^{2}\) and below the paraboloid \(z=8-2x^{2} -y^{2}\) is \(\frac{128}{9}\).

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Function Family: quadratic

Domain: all real numbers

x-int: (0,0) and (2,0)

y-int: (0,0)

The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

A function for the area A of the enclosure in terms of w is A = W(750 - 2W).

The width w that would maximize the area is 187.5 feet.

The maximum area is equal to 70,312.5 square feet.

Mathematically, the perimeter of a rectangular shape can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

From the information about the fencing (perimeter), we have:

P = L + 2W

750 = L + 2W

Making L the subject, we have:

L = 750 - 2W

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

A = W(750 - 2W).

A = 750W - 2W².

For the width that would maximize the area, we have:

Width, W = 750/4

Width, W = 187.5 feet.

L = 750 - 2W = 750 - 2(187.5) = 375 feet.

Maximum area = LW

Maximum area = 375 × 187.5

Maximum area = 70,312.5 square feet.

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Answer: 0=0 The input is an identity or it is true for all values

-3(2x+6)=-6x-18

(-3*2x)+(-3*6)=-6x-18

-6x+-18=-6x-18

0=0

The number of students who registered for both robotics and app development is 70.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total members = 280

The number of members who registered for the robotics class.

= 75% of 280

= 3/4 x 280

= 3 x 70

= 210

The number of members who registered for the app development class

= 50% of 280

= 1/2 x 280

= 140

We see that,

210 + 140 = 350

But we have 280 members.

So,

The number of students who registered for both robotics and app development.

= 350 - 280

= 70

Thus,

The number of students who registered for both robotics and app development is 70.

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