I’m stuck on this question and would greatly appreciate it if someone could help!

Answer:

x=38

Step-by-step explanation:

linear par

180-134=46

180-84=96

sum of a triangle is 180

96+46+x=180

142+x=180

x=180-142

x=38

The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Given that:

Total surface area of the rectangular box or cuboid = 100 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions; x, y, z

So,

x = y = z

6x^2 = 100

x^2 = 100 / 6

x = √ 100 / 6

x = 10 / √ 6 cm

x = 2.449 cm

Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Learn more about cube surface area at: https://brainly.com/question/13789496

#SPJ4

Answer:

[tex]2x^2+7x+C[/tex]

Step-by-step explanation:

Find the antiderivative of f'(x)=4x+7

[tex]\frac{4x^{1+1} }{1+1}+7x+C\\\frac{4x^2}{2}+7x+C\\ 2x^2+7x+C\\[/tex]

The complete answer: A domain is a set of input data in a relationship.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

An input value and an output value are matched in a relation.

A relation is a function where each input value yields one and only one output value.

Graphs, tables, and ordered pairs can all be used to represent functions. The domain is the set of input values,

while the range is the set of output values.

The domain of a function or relation is the set of all possible independent values that it can have.

Therefore,  a domain is a set of input data in a relationship.

To learn more about the domain;

https://brainly.com/question/28135761

#SPJ1

The maximum area of the tile to contain both grounds is 12x²y²

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

Area of ground A = 12x^2y sq. units

Area of ground B = 6xy^2sq units

Rewrite these areas properly

So, we have the following representation

Area of ground A = 12x²y sq. units

Area of ground B = 6xy² sq units

Express the areas as the products of their prime factors

This gives

Area of ground A = 2 * 2 * 3 * x * x * y

Area of ground B = 2 * 3 * x * y * y

From the above products, we have

Least common multiple = 2 * 2 * 3 * x * x *y * y

Evaluate the products

Least common multiple = 12x²y²

This represents the greatest area

Hence, the greatest area is 12x²y²

Read more about LCM at

https://brainly.com/question/16407111

#SPJ1

Answer:

-2

Step-by-step explanation:

The line appears to cross through (2,3) and (4,-1)

You can subtract the x values and y values to determine the difference:

[tex]2 - 4= - 2 \\ 3 - ( - 1) = 4[/tex]

These can be used as the y and x values in y over x to find the slope:

[tex] \frac{4}{ - 2} = - 2[/tex]

The slope is -2

Answer:

Step-by-step explanation:

log base (2) of (x^2 +5) = (3) can also be described as 2^3 = x^2 + 5

simplify: 8 = x^2+5

Subtract 5 from each side: 3 = x^2

square root: x = sqrt(3)

Answer:

Step-by-step explanation:

[tex]log(2)^{(x^2+5)}=3\\[/tex]

[tex]2^3 =x^2+5\\8-5=x^2\\x^2=3\\x=\pm\sqrt{3}[/tex]

If the price of a latte is $4 and the price of a muffin is $2, then we can conclude that Julia can buy 5 lattes or 10 muffins ($20) if she chooses to buy only one of the two goods.

A price is the sum of money that one party pays or receives in exchange for another's goods or services. The cost of production may go by another name in certain circumstances. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price."

In this case, Allie receives a $20 gift card for the local coffee shop, where she only buys lattes and muffins. Here, we can conclude that Julia can buy 5 lattes. This will be 5 × $4 = $20 or 10 muffins which will be:

= 10 × $2

= $20

Learn more about price on:

https://brainly.com/question/1153322

#SPJ1

The difference of the given polynomials 8x³+5x+6 and 2x²+3x is 8x³-2x²+2x+6. So, the correct answer is D.

To subtract polynomials from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Given that, 8x³+5x+6-(2x²+3x)

Group the like terms are perform the addition or subtraction

= 8x³+5x+6-2x²-3x

= 8x³+(5x-3x)-2x²+6 (Here, like terms are 5x and 3x)

= 8x³+2x-2x²+6

= 8x³-2x²+2x+6

So, the standard form of obtained polynomial is 8x³-2x²+2x+6.

The polynomials difference is 8x³-2x²+2x+6. Therefore, option D is the correct answer.

To learn more about the subtraction of polynomials visit:

https://brainly.com/question/12959016.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Which polynomial represents the difference below?

8x³ + 5x+6-(2x² + 3x)

A. 10x+ 8x² +6

B. -2x² + 8x³ + 8x+6

C. 6x¹⁰+2x+6

D. -2x²+ 8x³+2x+6

Answer:

A

Step-by-step explanation:

Blue = River Y

Red = River Z

River Y equation: y = 18

River Z equation: y = 10 + 2x

Graph A represents this system of equations.

IF THIS HELPED YOU GIVE ME BRAINLIEST FOR GOOD LUCK FOR 10 YEARS

Answer:

x=9

Step-by-step explanation:

these 2 angles are supplementary angles meaning added together they will equal 180 degrees

so we can add them together and set it equal to 180

(8x-3)+(16x-33)=180

combine like terms

(8x+16x)+(-3-33)=180

24x-36=180

     +36. +36

24x=216

/24.  /24

x=9

hopes this helps

There is an attachment that includes the graph for the inequality 8x + 5y 100.

How do you calculate the scenario's graph?

The parameters are as follows, taken from the query:

The customer's purchase must not exceed $100.

Each bath towel costs $8.

Each hand towel costs $5.

Inequality among the available combinations is another factor that we have.

8x + 5y ≤ 100

like that

x is the quantity of bath towels, while y is the quantity of hand towels.

Plotting the inequality's graph is the following step.

A graphing tool can be used for this.

In order to attach the graph, we enter the inequality in the graphing tool.

Keep in mind that the inequality is provided as

8x + 5y ≤ 100

See the inequality graph in the attached. 8x + 5y ≤ 100

Read more about inequality here.

brainly.com/question/25275758

#SPJ1

Answer:

I cant see numbers sorry. post question again

The question is unclear.

The equation of the line that has the slope of 7/3 is:  y = (7/3) x - 27/49

Finding the slope and y-intercept is necessary to express the equation of a graphed line in y-intercept (y=mx+c) form, which can then be used to get the equation of the line. The ratio of y to x is known as the slope. A slope triangle should be drawn connecting any two spots you find along the line.

Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.

Given that,

slope (m) = 7/3

Putting (7,-9) into the equation: y =mx+c

or, -9 = (7/3) × (7) + c

or, -9 = 49 /3 + c

or, c = (-9) × (3/49)

or, c = -27/49

Thus, the equation becomes:

or, y = (7/3) x + -27/49

or, y = (7/3) x - 27/49

To know more about equation of the line refer to:

https://brainly.com/question/25969846

#SPJ1

The polynomials using synthetic division is [tex]2 y+4+\frac{5}{y+3}[/tex].

What is polynomials?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x^2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

[tex]\frac{\left(2 y^2+10 y+17\right)}{(y+3)}$$[/tex]

[tex]$$\begin{aligned}& \text { Divide } \frac{2 y^2+10 y+17}{y+3}: \frac{2 y^2+10 y+17}{y+3}=2 y+\frac{4 y+17}{y+3} \\& =2 y+\frac{4 y+17}{y+3}\end{aligned}$$[/tex]

Divide [tex]$\frac{4 y+17}{y+3}: \quad \frac{4 y+17}{y+3}=4+\frac{5}{y+3}$[/tex]

[tex]=2 y+4+\frac{5}{y+3}[/tex]

To learn more about polynomial visit:https://brainly.com/question/11536910

#SPJ1

The two inequalities that describe the total cost and no. of guests are

18a + 9c ≤ 2475 and

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let 'a' be the no. of adults and 'c' be the no. of children.

The expense for this event must not exceed $2,475.00.

Therefore, 18a + 9c ≤ 2475...(i)

The venue can hold no more than 150 guests.

Therefore, a + c ≤ 150...(ii)

learn more about inequalities here :

https://brainly.com/question/20383699

#SPJ1

The probability that the first success occurs on trial number n = 3 is 0.032

Given:

probability of success on a single trial p = 0.80

trial number, n = 3

Recall the formula for the Geometric Probability Distribution

P(n) = p(1 - p)ⁿ⁻¹

where n is the number of the binomial trial on which the first success occurs and p is the probability of success on each trial

P(n) = p(1 - p)ⁿ⁻¹

P(3) = 0.8(1-0.8)³⁻¹

P(3) = 0.8(0.2)²

P(3) = 0.032

Learn more about binomial probability on:

brainly.com/question/29220138

#SPJ1

Resulting box has the greatest volume for the values  (25 ± 5√7)/6 .

This is a problem that can be solved using derivatives , maxima & minima and common logic.

Hence , going by logic :

Creating a flap of 'a' inches in width, the base of the box will be

 (10 - 2a) by (15 - 2a)

and the depth of the box will be the width of the fold-up flap: a.

Then the volume of the box is

 v = [tex]a(10 -2a)(15 -2a) = 150a -50a^2 +4a^3[/tex]

Using the derivative of the volume will be zero at the maximum volume.

 0 = [tex]dv/da = 150 -100a +12a^2[/tex]

This has roots at

 a = (100 ±√(100² - 4(12)(150)))/(2·12)

 a = (100 ± √2800)/24 = (25 ± 5√7)/6

Only the smaller of these solutions gives a maximum volume.

You should cut (5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.

Similarly , replacing the values of 10 by A and 15 by B , a generalized solution can be formed .

To know more about maxima and minima, go to brainly.com/question/29562544

#SPJ4

The solution is D = 200 feet

The diameter of the circular store is = 200 feet

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the diameter of the circle be represented as = D

Let the radius of the circular store be = r

D = 2r

Now , the area of the circular store be = A

The value of A = 31,415 feet²

The area of the circular store is given by the formula

Area of the circle = πr²

Substituting the values in the equation , we get

31415 = 3.1415 x r²

Divide by 3.1415 on both sides of the equation , we get

r² = 10000

Taking square roots on both sides of the equation , we get

r = 100 feet

Now , the diameter of the store = 2 x radius of the store

Diameter of the store D = 2 x 100 feet

Therefore , diameter of the store D = 200 feet

Hence , The diameter of the circular store is = 200 feet

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ1

Answer:

$22.50

Step-by-step explanation:

Using the given formula, we have been able to prove that; the expected value of the students' score is 18 correct responses

1) Let X denote the number of correct guesses, assuming that a student guesses randomly among the five options of all 25 questions. Then X has a binomial probability distribution with;

n = 25

p = 1/5 = 0.2

2) Let Y denote the number of correct responses on the seven questions for which the student guesses randomly from among the five options. Then Y has a binomial probability distribution with n = 7 and p = 0.20. Then the expected value of Y is;

E(Y) = np = 7(0.2) = 1.4

Using the scoring formula given, we have;

Score = (18 + Y) - 0.25(7 - Y) + 0(0)

= 16.25 + 12Y

The expected value of the students' score is;

E(16.25 + 12Y) = 16.25 + 12(1.4)

= 18 correct responses.

Read more about Binomial probability distribution at; https://brainly.com/question/15278907

#SPJ1

A translation 3 units left and 2 units up best describes the graph of  f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x

How to solve this problem?

f(x) = log2(x + 3) + 2 (given)

g(x) = log2x (given)

We need to describe the best statement for the graph

The graph is shown in the image

The following steps are shown to describe the graph.

The general equation of f(x) = log2(x-h)+k

When h > 0 (positive)

The graph of the base of the function shift to the right

When  h < 0 (Negative)

The graph of the base function shifts to the left.

When k > 0 (Positive)

The graph of the base function shifts upward.

When k < 0 (Negative)

The graph of the base function shifts downward

Here h = 3 , k = 2

Hence , a translation 3 units left and 2 units up describes the graph.

Learn more about Translating the logarithm function more

brainly.com/question/12640727

#SPJ1

10 inches is the scale factor from the drawing to the actual billboard

A scale factor is a ratio of change from a drawing to real life. Typically, a scale factor is unit-less; a scale factor of 48 (or 1:48) is saying that for one unit on the page, it represents 48 of the same units in real life.

A scale factor is the ratio between corresponding measurements of an object and a representation of that object.

Scale drawings show an image either reduced or enlarged in size. The change between the original and the scaled drawing is generally represented by two numbers separated by a colon, like 10:1 (read as “ten to one”).

The difference between the ratio numbers represents the factor by which the scaled image is enlarged or reduced. So for a 10:1 scale ratio, a 1 inch (2.5 cm) drawing will be 10 inches (25 cm) in real life.

Methods are as follows :

Changing Scale Digitally-

Scan the image or snap a pic of it with your phone.

Insert the image into a suitable program or app.

Navigate to the image layout options.

Adjust the height and width under the “Scale” heading.

Save the scaled image and you’re done.

Learn more about Scale factor by: https://brainly.com/question/25722260

#SPJ1

The whole Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.

The code for determining the area of the triangle is:

class Triangle:

def __init__(A):

A.base = 0

A.height = 0

def set_base(A, user_base):

A.base = user_base

def set_height(A, user_height):

A.height = user_height

def get_area(A):

area = 0.5 * A.base * A.height

return area

def print_info(A):

print('Base: {:.2f}'.format(A.base))

print('Height: {:.2f}'.format(A.height))

print('Area: {:.2f}'.format(A.get_area()))

if __name__ == "__main__":

triangle1 = Triangle()

triangle2 = Triangle()

# TODO: Read and set base and height for triangle1 (use set_base() and set_height())

# TODO: Read and set base and height for triangle2 (use set_base() and set_height())

# TODO: Determine smaller triangle (use get_area())

print('Triangle with smaller area:')

# TODO: Output smaller triangle's info (use print_info())

Traingle is a type of polygon, the name itself days, tri means three, angles.

So, in a triangle, there will be three vertices, three sides and three angles.

The vertex of a triangle is a point where any two of the sides of a triangle meet.

The altitude of a triangle is the perpendicular length of the triangle, it is also called as height of the triangle. It is drawn perpendicular on the base of the triangle to the apex.

Base of a triangle is that particular side of the triangle on which an altitude is drawn.

For writing the code, we will put the input like only values, like 6.0, 7.0, 11.0 etc.

The first value will denote base of first triangle, second will denote height  of first triangle and third will denote base of second triangle and fourth value denotes height of second triangle/

Let us assume that,

Triangle with smaller area:

Base: 4.00

Height: 5.00 = [4.00*5.00]2 = 10.00

For more questions on Area of triangle by Python

https://brainly.com/question/25327642

#SPJ4

Answer:

The Rate of return would then be 192 / 273 ≈ 70.32%

By using the well ordering principle we can easily prove that the equation

4a³ + 2b³ = c³ does not have any solution for positive integers.

Let (a, b, c) be a positive integer solution with c the smallest possible.

Then c³ is even as the sum of a factor of 4 and factor of 2 is always even .

hence c itself is even.

Let us consider  c = 2c₀ ;

4a³ + 2b³ = (2c₀)³

or, 4a³ + 2b³ = 8c₀³

then 2a³+b³ = 4c₀³

This time, we see that b must be even. using the same principle as above .

Put b = 2b₀ ;

2a³ + 8b₀³ = 4c₀³

then a³ + 4b₀³ = 2c₀³

thus a = 2a₀ must be even,

and 4a₀³+2b₀³=c₀³,

i.e. (a₀, b₀, c₀) is another solution. But c₀ = c/2<c.

And we have taken c to be the smallest of the solutions.

hence we get a contradiction.

Therefore our assumption is not valid.

To learn more about well ordering principle visit:

https://brainly.com/question/17295723

#SPJ4

The correct option is B (f-g)(y)=8 y²-y+3

What exactly are function and example?

A rule is something that produces one output from one input, such as a function. Alex Federspiel was the source of the image. As an illustration, consider the equation y=x2. For every x input, there is only one y output. The fact that x is the input value leads us to say that y is a function of x.

Which four sorts of functions are there?

The classification of various types of functions can be done using four primary categories. All functions are based on the element: one to one, many to one, onto, one to one, and into.

Given that:

f(y)=5 y²-2y+1

g(y)=-3y²-y-2

(f-g)(y) = 8y²-y+3

Option b is correct

Learn more about function

brainly.com/question/25638609

#SPJ1

Answer:

gh(b)

Step-by-step explanation:

Answer:

shifted to the right

Step-by-step explanation:

We have evidence that this is not a symmetrical die, the standardized residuals is 9.5689

The die is tossed 1000 times

Given the observed value

x1 = 163

x2=178

x3=142

x4= 150

x5 = 183

x6 = 184

The mean = 163 + 178 + 142 + 150 + 183 + 184 / 6

= 1000 /6

= 166.67

Next we have to find the value of (observed value - Expected value)^2 / Expected value

x1 = (163-166.67)^2 / 166.67 = 0.081

x2 = (178-166.67)^2 / 166.67 = 0.7659

x3 = (142-166.67)^2 / 166.67 = 3.6598

x4 = (160 -166.67)^2 / 166.67 = 1.673

x5 = (183 - 166.67)^2 /  166.67 =  1.5938

x6 = (184-166.67)^2 / 166.67 =   1.7954

The standardized residuals = 0.081 + 0.7659 + 3.6598 +1.673 +1.5938 +1.7954 = 9.5689

Therefore, this is not a symmetrical die

Learn more about symmetrical die here

brainly.com/question/12834677

#SPJ4