what is the length of XY if the quadrilateral is an Isosceles trapezoid

3x² (3 - 8x³)

Explanation:

you have to find the GCF first (greatest common factor)

and then, divide each term by the GCF

\( {3x}^{2} ( \frac{9x ^{2} }{ {3x}^{2} } + \frac{ - 24 {x}^{5} }{ {3x}^{2} } )\)

now, simplify each of the term in parentheses.

if you do it correctly, you'd get 3x² (3 - 8x³) as the answer.

Answer:

3x^2(3 - 8x^3)

Step-by-step explanation:

9x^2 - 24x^5 = 3x^2 (3 - 8x^3)

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

= 3x^2(3^(1/3) - 2x)(3^(2/3)+ 2*(3^(1/3))x + 4x^2)

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11

From the question, we have the following parameters that can be used in our computation:

f(s) = 3s^3 + 2s

Differentiate the function

So, we have

f'(s) = 9s^2 + 2

When the values are evaluated, we have

f(-4) = 9(-4)^2 + 2 = 146

f(-1) = 9(-1)^2 + 2 = 11

Hence, the values are 146 and 11

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

The lines with a slope larger than f(x) are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

First, you can see that the line crosses the y-axis at y = -4, so the line is something like:

y = a*x - 4

And we can see that it crosses the x-axis at x = 2, then we can write the equation:

0 = a*2 - 4

4 = a*2

4/2 = a

2 = a

So the linear equation on the graph is:

y = 2*x - 4

The slope is 2, the linear equations with a slope larger than that are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

Which can be rewritten as:

y = (5/4)*16x - (5/4)*(1/2)

Learn more about linear equations by reading:

https://brainly.com/question/4074386

#SPJ1

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

616cm³

Step-by-step explanation:

you just need to multiply those numbers

7 x 8 x 11= 616

\(\text{Perimeter of the triangle,}\\\\ 2s = 7 + 8 +11 =26}\\\\\\\implies s = \dfrac{26}2 = 13\\\\\\\text{Apply Heron's formula to find the area of the triangle,}\\\\A = \sqrt{s(s-8)(s-7)(s-11)}\\\\\implies A = \sqrt{13(13-8)(13-7)(13-11)}\\\\\implies A = \sqrt{780} \\\\\implies A = 27.93~~ \text{cm}^2\)

Answer

TRUE

MARK AS BRAINLIEST

The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

Learn more about rectangular base here:

https://brainly.com/question/16602334

#SPJ1

There are numerous concepts in algebra 2 that can be applied in real life scenarios. Some of which are linear equations and quadratic functions. The linear equation, for instance, helps to estimate that the cost i.e. of gas for a trip.

Linear equations can be used in real-life for calculating distances, rates and costs. For instance, during plan for a road trip, it can be used to estimate distance, time it takes to travel, estimated cost of gas etc.

An illustration is when one is planning a road trip from New York to Los Angeles. We can estimate that the distance between the two cities is 2,800 miles and car has average fuel efficiency of 25 miles per gallon.

If gas costs $3.50 per gallon, We can use the linear equation to get the cost of trip which is:

= Distance / Miles per gallon * Price per gallon

= 2,800 / 25 * 3.50

= $392.

Read more about algebra 2

brainly.com/question/17084403

#SPJ1

Answer:

10 percent

Step-by-step explanation:

i took a test

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.

Let's check each set of side measurements:

13, 19, 7:

The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.

25, 12, 13:

The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.

18, 2, 24:

The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.

3, 1, 5:

The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

for such more question on Triangle Inequality Theorem

https://brainly.com/question/1163433

#SPJ8

The solution of the equation for x is x = 4y - 12

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function y is given as

y = 1/4x + 3

As a general rule, we start by writing y as a variable (say y = f(x)).

So, the equation of the function becomes

y = 1/4x + 3

The next step is to switch/swap the positions of x and y in the above equation y = 1/4x + 3 (in this case, it is not necessary)

So, the equation remains the same

y = 1/4x + 3

The next step is to make x the subject of the formula in the above equation y = 1/4x + 3

The equation becomes

1/4x = y - 3

This is done by subtracting 3 from both sides of the equation.

So, we have:

1/4x = y - 3

Multiply through the sides of the equation by 4

So, we have

x = 4y - 12

Express as an inverse function

f-1(x) = 4x - 12 --- this is not  compulsory

So, the solution of the equation for x is x = 4y - 12

Hence, the rewuired solution of the equation for x is x = 4y - 12

Read more about inverse equations at:

brainly.com/question/14391067

#SPJ1

Answer:

= 7 - 5n

Step-by-step explanation:

Product of 5 and n

= 5 × n

= 5n

Subtracted from 7

= 7 - 5n which is the answer.

I really do not know because it does not make sense

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

As regards if there is evidence that the true mean of number of posts is less than 27, A. No. There is not evidence for the population mean to be less than 27, because 27 is within the 95% confidence interval.

The 95% confidence interval is given as 19.7 to 27.3 posts, which means that if we were to repeat the sampling process many times and construct 95% confidence intervals using each sample, approximately 95% of those intervals would contain the true population mean u.

Since the value of 27 is within the confidence interval, there is not enough evidence to suggest that the true population mean is less than 27. In other words, we cannot reject the null hypothesis that the population mean is greater than or equal to 27 based on this confidence interval.

Find out more on confidence interval at https://brainly.com/question/29576113

#SPJ1

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

x=7−√10 or x=7+√10

Step-by-step explanation:

−5(x−7)2+30=−20

Step 1: Simplify both sides of the equation.

−5x2+70x−215=−20

Step 2: Subtract -20 from both sides.

−5x2+70x−215−(−20)=−20−(−20)

−5x2+70x−195=0

For this equation: a=-5, b=70, c=-195

−5x2+70x+−195=0

Step 3: Use quadratic formula with a=-5, b=70, c=-195.

x=

−b±√b2−4ac

2a

x=

−(70)±√(70)2−4(−5)(−195)

2(−5)

x=

−70±√1000

−10

x=7−√10 or x=7+√10

Answer: no one cares

Step-by-step explanation:

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

Using geometry, we can find that the length of the line segment AC as per the distance between two points is= 18 ft.

What are line segments?

In geometry, a line segment's borders are determined by two distinct points on the line. Any portion of a line that connects two places is referred to as a line segment.

A segment has an endpoint, whereas a line doesn't.

What are some examples of line segments in the real world?

a scale, a ruler, a stick, and a boundary line.

Thus, the length of the line segment AC is = 18ft.

To know more about line segments, visit:

brainly.com/question/2437195

#SPJ9

a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

For such more question on triangle

https://brainly.com/question/1058720

#SPJ8

Answer:

2

Step-by-step explanation:

2

To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

Answer:

Step-by-step explanation:

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation: