20 for this question needing help

1024 ways can a student answer the questions if every question is answered.

What is combination?

We have two choices of answering questions either true or false, so the number of ways of answering all 10 questions will be =

Required number of ways are 2¹⁰:

= 2×2×2×2×2×2×2×2×2×2

= 1024, because every question may be answered in 2 ways.

To know more about combination check the below link:

https://brainly.com/question/11732255

#SPJ4

For the given function

The sum of all angles = 360°

So,

So, the difference between x and y will be:

So, the answer will be:

∠x is 91° smaller than ∠y

Answer:

D (fourth one)

Step-by-step explanation:

1. Turn the mixed fraction into an improper fraction

2. Multiply by the reciprocal

13/3*4/3=52/9

3. Turn back into mixed fraction.

The circumference of the circle inscribed in a square of side 14 units is 43.96 units, on the basis of the fact that the diameter of the circle will be equal to the side of the square.

What is circumference?

Circumference is the length of a circle's boundary or the perimeter of any circular object or figure.A circle's circumference or an elliptical two-dimensional figure's perimeter are the same. Either the radius or the diameter of the circle are necessary components to calculate the circumference.

Circumference of circle=2πr       {where r=radius}

                                      =πd         {where d=diameter}

Given that the circle is inscribed in the square & it is the maximum possible circle that would fit inside the square of 14 units.

The diameter of circle= side of square that inscribes circle

                               d   = 14 units

Circumference of circle=πd

                                      =π(14)

                                      =14π      {in terms of π}

Circumference of circle=14π

                                      =14(3.14)            {taking π=3,14}

                                      =43.96 units

Circumference of circle=43.96 units

To know more about circumference, visit:

https://brainly.com/question/28757341

#SPJ1

Answer:

a) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 0\) are \(x_{1}\approx -0.25\) and \(x_{2} \approx 1.25\).

b) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 2\) are \(x_{1}\approx -0.5\) and \(x_{2} \approx 1.5\)

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial \(y = 4\cdot x^{2}-4\cdot x -1\), where \(x\) is related to the horizontal axis of the Cartesian plane, whereas \(y\) is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) \(4\cdot x^{2}-4\cdot x -1 = 0\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.25\), \(x_{2} \approx 1.25\)

b) \(4\cdot x^{2}-4\cdot x -1 = 2\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.5\), \(x_{2} \approx 1.5\)

The value of the given integral is (625π/3).

To evaluate the given integral, we use cylindrical coordinates. The transformation equations are:

x = r * cos(theta)

y = r * sin(theta)

z = z

The Jacobian of the transformation is obtained as:

J = | ∂(x, y, z) / ∂(r, theta, z) |

= | cos(theta) sin(theta) 0 |

|-rsin(theta) rcos(theta) 0 |

| 0 0 1 |

Simplifying the determinant, we get:

J = r * (cos^2(theta) + sin^2(theta))

= r

Now, we substitute the transformation into the given integral:

∫(-5 to 5) ∫(0 to 2π) ∫(0 to √(25 - x^2)) r * √(1/(x^2 + y^2)) dy dtheta dz

This becomes:

∫(-5 to 5) ∫(0 to 2π) ∫(0 to √(25 - x^2)) r^2 * dr dtheta dz

Simplifying further:

∫(-5 to 5) ∫(0 to 2π) (1/3) * (25 - x^2)^(3/2) dtheta dz

Next, we integrate with respect to theta:

∫(-5 to 5) (2π/3) * ∫(0 to √(25 - x^2)) (25 - x^2)^(3/2) dz dx

Integrating with respect to z:

∫(-5 to 5) (2π/3) * [(25 - x^2)^(5/2)] / (5/2) dx

Simplifying further:

(2π/3) * ∫(-5 to 5) [(25 - x^2)^(5/2)] dx

This is a standard integral that can be evaluated using basic calculus. The result is:

(2π/3) * (625/2)

= (625π/3)

Therefore, the value of the given integral is (625π/3).

To know more about integral, click here

https://brainly.com/question/31433890

#SPJ11

The value of the expression (x³+16) ÷4 is equal to 12. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (x³+16) ÷4. The value of x is equal to 2. The expression will be solved as below,

E = (x³+16) / 4

E = 2³ + 16 / 4

E = 8 + 16 / 4

E = 8 + 4

E = 12

To know more about an expression follow

https://brainly.com/question/10757900

#SPJ2

Answer:

8v3

Step-by-step explanation:

phythagorean theorm

The measure of x from the triangle is x = 4

A planar figure or polygon having three sides and three angles is called a triangle.

The internal angles of a triangle, which has three vertices, add up to 180 degrees.

Assume the triangle is ABC, with A + B + C equaling 180 degrees.

Triangle area equals (1/2) × Length x Base.

About a right triangle

According to the Pythagoras Theorem, If a2 + b2 = c2, then the hypotenuse2 = base 2 + height 2, making it a right triangle.

If a2 + b2 c2, the triangle is an acute triangle.

If a2 + b2 > c2, the triangle is sharp.

Given the data,

Let's use ABC to depict the triangle.

Now, the triangle's sides are measured in units of AB and y.

x units = BC

Moreover, AC = 8 units.

The trigonometric relationships show that sin = opposite / hypotenuse.

Hence, the definition of sin 30° is x / 8

With simplification, we have (1/2) = x / 8

8 is multiplied twice, giving us x = 8/2 x = 4 units.

Hence , the sides of the triangle are solved

Click here to read more about triangles.

https://brainly.com/question/16739377

#SPJ7

Answer: 6.57 ==> rounded of to 10

Step-by-step explanation:

sin B = sin 26 = 0.438

sin x = opp/hyp

0.438 = b / 15

b = 15 x 0.438 = 6.57

nearest 10th is 10

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

We will solve as follows:

*We will have that the following function models the perimeter of the rectangle:

Here l is the length and w is the width. Now, we replace l and solve for w:

So, the width is 14 ft.

Arc length = π r^2 (Θ/360)

There is a squared radius that can't be in the formula. The result will be an area instead of a length.

Answer + explanation:

Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.

Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.

Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.

Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.

Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.

Answer:

20%

Step-by-step explanation:

Basically Belle did 8 + 32 = 40 problems total. If she got 8 right then she got 8/40. 8/40 = 1/5 = 20%. :)

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

89.97

Step-by-step explanation:

5.99+79.99 = 85.98 + 3.99  = 89.97

The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

Know more about the intercept here:

https://brainly.com/question/25722412

#SPJ4

Being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

Yes, Li should be pleased with her salary. Being in the 78th percentile means that Li's salary is higher than 78% of the salaries reported in the survey. In other words, the majority of recent college graduates earn a lower salary than Li does. This is a positive outcome and indicates that Li is earning more than a significant portion of her peers.

Being in a higher percentile suggests that Li's salary is above average and reflects her market value and the demand for her skills and qualifications. It indicates that she is likely being compensated fairly for her education, experience, and the value she brings to her employer. This can be seen as a validation of her hard work, dedication, and successful entry into the job market.

Moreover, being in the 78th percentile also implies that Li has a higher income relative to a large proportion of individuals her age, which can provide financial stability and opportunities for personal and professional growth.

Overall, being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

Learn more about percentile here:

https://brainly.com/question/30035171

#SPJ11

The correct statement about coping strategies is: An effective coping strategy is any strategy that reduces stress.

The correct option is B .

Coping strategies are techniques or actions that individuals use to manage or deal with stressful situations. Different strategies work for different people, so there isn't a one-size-fits-all approach. However, an effective coping strategy is any strategy that successfully reduces or manages stress.

Some examples of effective coping strategies include deep breathing exercises, engaging in physical activity or exercise, seeking support from friends or family, practicing mindfulness or meditation, and engaging in hobbies or activities that bring joy and relaxation.

It's important to note that while ineffective coping strategies may not completely eliminate stress, they can still provide temporary relief or distraction. However, it is generally recommended to focus on developing and using effective coping strategies that can effectively reduce stress and promote overall well-being.

Know more about coping strategies,

https://brainly.com/question/30162811

#SPJ12

An effective coping strategy is any strategy that reduces stress.

The true statement about coping strategies is that an effective coping strategy is any strategy that reduces stress.

https://brainly.com/question/14370532

#SPJ12

The price of the bond is approximately $721.92.

A bond is a debt security that an investor lends to an entity in exchange for interest payments and the return of the principal at the end of the bond term. The price of a bond can be calculated using the following formula:

Bond price = [C / (1 + r)^n] + [F / (1 + r)^n]

Where:

F = face value of the bond

C = coupon rate

n = number of years remaining until maturity

r = yield to maturity (YTM)

Given data:

Face value (F) = $1,000

Coupon rate (C) = 6% semi-annually

Years to maturity (n) = 11

Yield to maturity (YTM) = 8%

To calculate the bond price, we need to use semi-annual coupons since the coupon is paid twice a year. We adjust the coupon rate, years to maturity, and yield to maturity accordingly.

Coupon rate (C) = 6% / 2 = 3% per half year

n = 11 × 2 = 22

r = 8% / 2 = 4% per half year

Plugging the given values into the formula:

Bond price = [30 / (1 + 0.04)^11] + [1000 / (1 + 0.04)^22]

≈ $721.92

Therefore, The bond costs around $721.92.

Learn more about bonds

https://brainly.com/question/31358643

#SPJ11

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

To learn more about perimeter click on,

https://brainly.com/question/13203351

#SPJ4

Answer:

positive and even

Step-by-step explanation:

.........................

Answer:

ow

Step-by-step explanation:

yess.

Hey there!

To find the volume of any prism, you multiply the base by the height. However, we want to find the base here. So, we do it backwards and take the volume and divide it by the height, and this will give us our base!

50÷7.5=6 2/3

Therefore, the area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters is 6 2/3 square centimeters.

Have a wonderful day! :D

Answer:

2

Step-by-step explanation:

2x^2 -3xy^3

Let x=-2 and y =-1

2 ( -2)^2 -3 (-2) (-1)^3

Using PEMDAS, we do exponents first

2 ( 4) - 3(-2) (-1)

Multiply nexy

8 - 6

2

In this question, we are required to find

\(2 {x}^{2} - 3x {y}^{3} \)

When, x = -2 and y = -1

We just need to plug the values of x and y in the given polynomial to get our required answer.

Given, Polynomial in variable x and y,

\(2 {x}^{2} - 3x {y}^{3} \)

Plugging values of x and y,

\(2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} \)

According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,

\(2(4) - 3( - 2)( - 1)\)

Opening the parantheses and finding the answer,

\(2 \times 4 - 3 \times - 2 \times - 1\)

\(8 -6\)

\( \boxed{ \red{2}}\)

This is our required answer !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

27 x 2 −78 x + 16

Step-by-step explanation:

Answer:

27x^2-78x+16

Step-by-step explanation:

took the test

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

To know more about populations visit-

brainly.com/question/28426501

#SPJ11