Write an equation of the line with a slope : -3/4 and y-intercept : -1/4 .

The value of the expression 42+6⋅52−33÷32 is 352.96

An expression is combination of variables, numbers and operators.

Remember the order of operations rules.BODMAS: parentheses first, then exponents, then multiplication, then division, then addition and subtraction is last.

= 42+6⋅52−33÷32

multiply first

= 42 + (6*52) - 33 ÷ 32

= 42 + 312 - 33 ÷ 32

division second

= 42 + 312 - 1.03125

addition next

= 354 - 1.03125

subtraction last

= 352.96875

Hence, the value of the expression 42+6⋅52−33÷32 is 352.96

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.

[tex]V = π ∫y^4 - y^1/4 dy[/tex]

 = π ∫[tex]y^7/4 dy[/tex]

 =[tex][4π/7*y^(7/4+1)]_0^1[/tex]

 = [tex]4π/7[/tex]

To find the volume of the solid obtained by rotating the region enclosed by the graphs[tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1], we first use the formula for the volume of a solid of revolution: V = π ∫[tex]y^2 - y^1/4 dy.[/tex] Then, we rewrite the upper limit of the integral as [tex]y^7/4[/tex]and evaluate the integral from 0 to 1. This gives us the volume as 4π/7.

The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

A stem-and-leaf diagram separates each value of a data set into two parts: the stem and the leaf.

The stem is the first part of the number, typically the largest place value, and it is used to group similar values together. The leaves are the last part of the number, typically the smallest place value, and they provide the specific values within each group.

For example, consider a data set with the values 15, 19, 10, 11, 15. In a stem-and-leaf diagram, the stem for these values would be 1 and the leaves would be 5, 9, 0, 1, and 5, respectively.

The stem-and-leaf diagram would then look something like this:

This format allows for a quick visualization of the distribution of the data and can be useful for identifying patterns and relationships within the data set.

Learn more about stem-and-leaf diagram at: brainly.com/question/17886846

#SPJ4

The equation that can be used to find the cost, c, of the pizza is c/5 = $3.25.

An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal.

Equations can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.

If they divide the cost of a meatball pizza evenly among 5 people and each person pays $3.25, then we can write the equation as

c/5 = $3.25

where c is the cost of the pizza

Plugging in the known value of p = $3.25, we get: c = 5($3.25) = $16.25.

So the cost of the meatball pizza at the Dancing Meatball is $16.25.

Learn more about equation here: https://brainly.com/question/2972832

#SPJ4

The measure of the angle BCD is 60 degrees.

Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.

And we can write the top angle at C as:

(5x + 10) + C = 180°

C = 180 - 5x - 10

Then the sum of the interior angles gives:

3x + 3x + (180 - 5x - 10) = 180

Now we can solve that for x to get:

6x -5x - 10 = 180 - 180

x - 10 = 0

x = 10

Then the measure of BCD is:

BCD = 5x + 10

BCD = 5*10 + 10 = 60

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

As per the differential equation, the value of k for which the constant function is 1.

The term called differential equation in math is defined as an equation which contains one or more terms and the derivatives of one variable

Here we know that the differential equation is

=> 4t³ dx/dt + 2x - 2 = 0

Here we have also know that x(t) = k is a solution of the differential equation.

Which means the t the value of x' = 0.

Then the value of 4t³ dx/dt = 0.

So, here we have rewritten the equation like the following,

=> 0 + 2x - 2 = 0

Here we know that the value of x = k, then we get the equation like the following,

=> 2k - 2 = 0

=> k = 1

To know more about differential equation here.

https://brainly.com/question/30074964

#SPJ4

In order to do well on BYU Calculus BC Explorations, you should have a solid understanding of the basic principles of calculus.

This includes understanding derivatives and integrals, as well as the fundamental theorem of calculus. Additionally, it is important to have a strong background in basic algebra and trigonometry, as these skills will be necessary for working with functions and equations. When solving problems, it is important to read the problem carefully and identify what type of calculus concept is being asked for. Once the concept is identified, you can use formulas and calculations to solve the problem. By working through problems in a systematic and logical way, you can make sure that you arrive at the correct answer.

Learn more about fundamental theorem of calculus here:

https://brainly.com/question/2293034

#SPJ4

Complete question:What is the best way to do well on BYU Calculus BC Explorations?

Step-by-step explanation:

changing 0.5 to fraction is 1/2

0.5 is equal to 1/2 as a fraction.

0.5×10 /1×10=5 / 10

5 /1 0 =  1 /2 .

To Learn more About  fraction Refer To:

https://brainly.com/question/17220365

#SPJ4

False. If the mean of "u" (unobserved ability) is independent of education, it only means that the average level of ability is not affected by the level of education. It does not imply that the average level of ability is the same for all levels of education.

In economics, "u" is often used to represent unobserved ability or talent, which can affect an individual's income or job performance. If the mean of "u" is independent of education, it means that the average level of ability is not affected by the level of education, i.e., the mean of "u" is the same for all individuals regardless of their level of education.

However, it does not imply that the average level of ability is the same for all levels of education.

For example, individuals with higher levels of education may have higher levels of "u" on average, due to factors such as better access to resources, more opportunities for learning and development, or self-selection of individuals with higher levels of "u" into higher levels of education.

In such a case, the mean of "u" would still be independent of education, but the average level of ability would not be the same for all levels of education.

To know more about mean

https://brainly.com/question/1136789

#SPJ4

Answer:The box plots for Theo’s math scores and language arts scores.

2 box plots. The number line goes from 50 to 100.

For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80.

For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.

About 50% of Theo’s scores are in which range for each subject?

60 to 85 for math; 60 to 80 for language arts

55 to 90 for math; 50 to 90 for language arts

55 to 60 for math; 50 to 60 for language arts

85 to 90 for math; 80 to 90 for language arts

Step-by-step explanation:

the whiskers range from 55 to 90 =>   ( min 55 , max 90  , range = 90-55 = 45)

the box ranges from 60 to 85.  =>  (Q₁ = 60 and Q₃ = 85)

A line divides the box at 80   => (Q₂ = Median = 80)

For language arts,

the whiskers range from 50 to 90 => ( min 50 , max 90  , range = 90-50 = 40)

the box ranges from 60 to 80.  =>  (Q₁ = 60 and Q₃ = 80)

A line divides the box at 70.  => (Q₂ = Median = 70)

50% of Theo’s scores lies between Q₁ and Q₃

A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.

a) The mean decay rate is 3.2 decays per minute and its standard deviation is 1.8 decays per minute. The standard deviation expected from the Poisson distribution for the mean value is 3.7 decays per minute, which is higher than the standard deviation obtained from the data.

b) The histogram and Poisson curves of both the parent and observed distributions can be seen in the figure below.

The mean decay rate of the source was found to be 3.2 decays per minute with a standard deviation of 1.8 decays per minute. The standard deviation was found to be lower than the value expected from the Poisson distribution for the mean value. A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.

learn more about histogram here

https://brainly.com/question/16819077

#SPJ4

The area of a rectangle is calculated by multiplying its two sides together. This is because a rectangle is a shape with four straight sides, and the area of a rectangle is the amount of space inside the rectangle.

A rectangle is a four-sided shape with four right angles and four equal sides. It is a type of quadrilateral, which means it has four sides. Rectangles are the most common type of shape and can be found in many areas of life, from art to architecture and engineering. Rectangles are sometimes referred to as geometric shapes and are used to define and measure space.

To learn more about rectangle, visit

brainly.com/question/25292087

#SPJ1

The complete question is: How do you find an area with two sides?

Answer: [tex]ST=27[/tex]

Step-by-step explanation:

[tex]RU=\sqrt{29^2 -21^2}=20\\\\SU=\sqrt{52^2 -20^2} \implies ST=\sqrt{52^2 -20^2}-21 =27[/tex]

The worth at the end of the third​ year is 15,400.

Depreciation:

The purchase value of an asset is the amount that it is purchased for. The value of the asset after a certain number of years is the difference between the purchase value and the accumulated depreciation.

There is a general formula to calculate Depreciation:

Depreciation Method = (Cost of an Asset – Residual Value)/Useful life of an Asset.

Given that Cost of an Asset=25000

Residual Value=2600

The useful life of an Asset=7

Now plug the given values in the above formula:

(25,000-2,600)/7=22,400/7=3,200

DM=3,200 which is calculated annually.

For the 3 years worth:

25,000-3,200*3

25,000-9,600=15,400.

At the end of the third year, the worth is 15,400.

To know more about Depreciation:

https://brainly.com/question/27971176

#SPJ4

Mowing Andre's uncle's lawn paid better than the other two jobs.

The job that paid better compared to the others is mowing Andre's uncle's lawn. He earned $30 for 1 hour of work, which is more than the $10 he earned for mowing a neighbor's lawn for 1 hour or the $15 he earned each hour for mowing the community's lawn for 2 hours.

The thinking behind this is basic. The rate of pay for mowing Andre's uncle's lawn was higher than the rate of pay for the other two jobs.

This is still up in the air by isolating the sum earned by the number of hours worked.

For the uncle's lawn, the rate was $30/1 hour = $30 each hour.

For the neighbor's lawn, the rate was $10/1 hour = $10 each hour. Furthermore, for the community center's lawn, the rate was $30/2 hours = $15 each hour.

Therefore, Mowing Andre's uncle's lawn paid better compared to the next two jobs.

To learn more problems on hours:

https://brainly.com/question/1376479

#SPJ4

Answer: Reduce the fraction to the simplest form.

Hope this helps :)

Step-by-step explanation:

8/10

/ 2

4/5

The area of the given figure in square centimeters would be = 45cm².

Since the instructions involves that the edges meet at a right angle, the area of the figure should be calculated using the area of a rectangle= Length×width.

The length of the figure= 2+3= 5cm

The width of the figure= 2+2+5= 9cm

Therefore the area of the figure= 9×5= 45cm²

Learn more about rectangle here:

https://brainly.com/question/28497588

#SPJ1

Answer:

4√5.

Step-by-step explanation:

Treat the surd (√5) as a variable:

7x - 3x = 4x

So, 7√5 - 3√5

= 4√5

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

Learn more about syntactic distinction here:

https://brainly.com/question/13652469

#SPJ4

The values of b for the function f(x) = x² + bx + 1  has

(a) two real roots is |b| > 2 .

(b) has only one real roots is b = ±2  .

(c) has no real roots is  b < -2 or b > 2.

A Quadratic Function of the form f(x) = x² + bx + 1 has two real roots if and only if its discriminant (b² - 4ac) is positive, where a = 1, c = 1 .

So ,the discriminant can be written as ⇒ b² - 4 × 1 × 1

⇒ b² - 4.

Part (a) ; the two roots are real if and only if b² - 4 > 0,

⇒ b² > 4.

⇒ |b| > 2 .

Part (b) : function has only one real root if and only if its discriminant =0 .

⇒ b² - 4 = 0  ;

⇒ b² = 4  ;

which implies ⇒ b = ±2  .

Part (c) : function has no real root if and only if its discriminant < 0 .

⇒ b² - 4 < 0  ;

⇒ b² < 4  ;

which implies ⇒  b < -2 or b > 2.

Learn more about Functions here

https://brainly.com/question/23888866

#SPJ4

The probability that a randomly selected set of 3 will include 1 a and 2 b is 45/182.

Probability

The probability is equal to the variety of possible outcomes.

For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12.

the total number of outcomes that could occur.

there are total 4 types of probability,

1- Classical

2- Empirical

3- Subjective.

4- Axiomatic

There are 66 equally likely outcomes, or C(9+5,3) =C(14,3)= 364 possible outcomes.

Only C(9,1) * C(5,2)= 90 of these contain 1A and 2B. thus, the likelihood is 90/364.

The value of the solution is 90/364 or 45/182.

Learn more about probability here :-

https://brainly.com/question/30034780

#SPJ4

Tiana' laptop originally cot $250, but the tore offered a 20% off discount, the final place of the laptop is $216.

Let the Laptops original price be $250

But he tore the offer of 20% discount, after getting a 20% discount,

(100 - 20)% x 250

= 200

Tiana then paid also a 8% tax on this price so,

= (100+8)% x 0.8(250)

=1.08 x 200

=216

So final price be ,

P = L (0.8)(1.08)

P = 250 x 0.8 x 1.08

P = $216

A tax is a mandatory financial charge or other type of levy imposed by a government organization on a taxpayer (an individual or legal entity) to cover costs associated with running the country and other public expenditures.

Learn more about Final price:

https://brainly.com/question/29016266

#SPJ4

matrix organizational is most suited for aligned project accountability and authority, and for rapid reaction to customer needs

The true statement about a matrix organizational structure is that In a strong matrix organizational structure, the project manager controls the project budget and has moderate to high authority.

What is matrix organizational structure ?

A matrix organizational structure  can be regarded as workplace format where by, employees will be  reporting to two or more managers.

This system involves two managers overseeing every aspect of a project.

For instance, an employee could report to primary manager as well as other managers.

matrix organizational is most suited for aligned project accountability and authority, and for rapid reaction to customer needs

Learn more about organizational  at:

brainly.com/question/7437866

#SPJ4

The complete binomial expression

40v³w + 135w = 5w {(2v + 3) ((4v² - 6v +9)}

Cubic equations are polynomials of degree3. That means the maximum degree of polynomial is three.

And the standard form of cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients a ≠ 0.

Given:

An expression,

40v³w + 135w = (_) 5w(4v² - 6v +9)

To find the missing value:

Simplifying,

40v³w + 135w

= 5w (8v³ + 27)

= 5w {(2v)³ + (3)²}

= 5w {(2v + 3) ((4v² - 6v +9)}

Therefore, the missing expression is (2v + 3).

To learn more about the cubic equation;

brainly.com/question/13730904

#SPJ1

The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.

For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.

Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).

C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}

Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.

C2 ={(x,y):−1≤x≤1,−1≤y≤1}

Q(C2) = Q(C1) = 4.

C3 = {(x,y):x^2 + y^2 ≤1}

Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.

In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

To learn more about integral, visit

brainly.com/question/18125359#

#SPJ11

The amount of money received by Mary based on the mentioned information is 4.

Let the total amount of money be x. So, the amount received by Mary = 5/8x. The amount received by Donal = x - 5/8x

Performing subtraction on Right Hand Side of the equation

The amount received by Donal = (8x - 5x)/8

The amount received by Donal = 3x/8

Now, the amount received by Donal is 2.40. Size equating the two values -

3x/8 = 2.40

3x = 2.40 × 8

Performing multiplication on Right Hand Side of the equation

3x = 19.2

x = 19.2/3

Performing division on Right Hand Side of the equation

x = 6.4

Amount received by Mary = 5×6.4/8

Performing multiplication

Amount received by Mary = 32/8

Performing division

Amount received by Mary = 4

Thus, Mary received 4.

Learn more about money calculation -

https://brainly.com/question/8259644

#SPJ4

The probability of Tabria randomly selecting a peanut butter cookie and then an oatmeal cookie is 8/35 or 8 in 35 chance

The probability of selecting a peanut butter cookie first is 8/29, since there are 8 peanut butter cookies and 29 total cookies of all variety in the bag. Then, the probability of selecting an oatmeal cookie after eating a peanut butter cookie is 8/28, since there are now only 28 cookies remaining in the bag and 8 of them are oatmeal cookies. To find the combined probability, we multiply the individual probabilities:

8/29 × 8/28 = 8/35.

This means there is an 8 in 35 chance that Tabria will randomly select a peanut butter cookie and then an oatmeal cookie.

To learn more about probability visit: https://brainly.com/question/13604758

#SPJ4