. Compare: what is greater 5/3 or 9/16

Answers

Answer 1

hello

between 5/3 and 9/16, 5/3 is greater than 9/16

[tex]\frac{5}{3}>\frac{9}{16}[/tex]


Related Questions

a) How many hand-held color televisions can be sold at $ 400 per television?b) How many televisions will be sold when supply and demand are equal?c) Find the price at which supply and demand are equal.

Answers

a) Since we are interested in the number of TVs that can be sold at $400, we need to use the Demand model equation and set p=400; thus,

[tex]\begin{gathered} p=400 \\ \Rightarrow N=-7\cdot400+2820=20 \\ \Rightarrow N=20 \end{gathered}[/tex]

The answer to part a) is 20 TVs per week.

b) Set N=N, then

[tex]\begin{gathered} N=N \\ \Rightarrow-7p+2820=2.4p \\ \Rightarrow9.4p=2820 \\ \Rightarrow p=\frac{2820}{9.4}=300 \\ \Rightarrow p=300 \end{gathered}[/tex]

Therefore, using p=300 and solving for N,

[tex]\begin{gathered} \Rightarrow N=2.4\cdot300=720 \\ \Rightarrow N=720 \end{gathered}[/tex]

The answer to part b) is 720 TVs per week.

c) In part b), we found that when supply and demand are equal, p=300. Thus, the answer to part c) is $300

Create a "rollercoaster using the graphs of polynomials with real and rational coefficients.
The coaster ride must have at least 3 relative maxima and/or minima.
The coaster ride starts at 250 feet (let this be your y-intercept).
The ride dives below the ground into a tunnel (under the x-axis) at least once.
The graph must have at least one even multiplicity, two real solutions, and two imaginary solutions.

Answers

The polynomial that represents the rollercoaster, using the Factor Theorem, is given as follows:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

What is stated by the Factor Theorem?

The Factor Theorem states that a polynomial function with zeros [tex]x_1, x_2, \codts, x_n[/tex], also represented by factors [tex]x - x_1, x - x_2, \cdots x - x_n[/tex] is given by the rule presented as follows:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient of the polynomial function with the given roots.

For this problem, the requirements are as follows:

At least 3 relative maxima and/or minima -> derivative of 3rd order -> 4 unique rootsy-intercept of 250 feet -> controlled by the leading coefficient.

The roots will be given as follows:

Root at x = 1 with even multiplicity -> (x - 1)².Real solution at x = -1 -> (x + 1).Two imaginary solutions -> (x² + 0.1).Unique root at x = -5 -> (x + 5).

Hence the function is:

y = a(x - 1)²(x + 1)(x² + 0.1)(x + 5).

At x = 0, the function assumes a value of 250, hence the leading coefficient is obtained as follows:

0.5a = 200.

a = 400.

Thus the function is:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

Which has the desired features, as shown by the image at the end of the answer.

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Find the value of x in the triangle shown below.=2°31770

Answers

The sum of all the angles in a triangle is always 180°.

We can write the equation and solve for the missing angle:

[tex]31^o+77^o+x=180^o[/tex]

Solving for x:

[tex]\begin{gathered} x=180^o-31^o-77^o \\ \\ x=72^o \end{gathered}[/tex]

The measure of the unknown angle is 72 degrees.

if there are 7 teams and every teams plays everyone once how many games total played

Answers

This is a problem about combinations where the order doesn't matter. The solution is usually written as 7C2 (seven choose two) and has the value

[tex]\frac{7!}{(7-2)!2!}=21[/tex]

Comment: 7C2 is the answer to the question "How many pairs (in our case, these pairs are seen as games played) can we form from a group of 7 things?".

Solve F=mv^2/R for V

Answers

SOLUTION

We want to solve for v in

[tex]F=\frac{mv^2}{R}[/tex]

This means we should make v the subject, that is make it stand alone. This becomes

[tex]\begin{gathered} F=\frac{mv^2}{R} \\ m\text{ultiply both sides by }R,\text{ we have } \\ F\times R=\frac{mv^2}{R}\times R \\ R\text{ cancels R in the right hand side of the equation we have } \\ FR=mv^2 \end{gathered}[/tex]

Next, we divide both sides by m, we have

[tex]\begin{gathered} FR=mv^2 \\ \frac{FR}{m}=\frac{mv^2}{m} \\ m\text{ cancels m, we have } \\ \frac{FR}{m}=v^2 \\ v^2=\frac{FR}{m} \end{gathered}[/tex]

Lastly, we square root both sides we have

[tex]\begin{gathered} v^2=\frac{FR}{m} \\ \sqrt[]{v^2}=\sqrt[]{\frac{FR}{m}} \\ \text{square cancels square root, we have } \\ v=\sqrt[]{\frac{FR}{m}} \end{gathered}[/tex]

Hence the answer is

[tex]v=\sqrt[]{\frac{FR}{m}}[/tex]

You TryWrite an equation for each of the following,then solve for the variable.20 is the same as the sum of 4 and g.

Answers

Given statement:

20 is the same as the sum of 4 and g

Let us break down the statement into parts and then write the equation

the sum of 4 and g:

[tex]\text{= 4 + g}[/tex]

This sum is equal to 20:

[tex]4\text{ + g = 20}[/tex]

Hence, the equation is:

[tex]4\text{ + g = 20}[/tex]

Solving for the variable:

[tex]\begin{gathered} \text{Collect like terms} \\ g\text{ = 20 -4} \\ g\text{ = 16} \end{gathered}[/tex]

Answer Summary

[tex]\begin{gathered} \text{equation: 4 + g = 20} \\ g\text{ = 16} \end{gathered}[/tex]

The equation 8x+8y=16 in slope-intercept form

Answers

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Add 8x 8 x to both sides of the equation. Divide each term in 8y=16+8x 8 y = 16 + 8 x by 8 8 and simplify. Divide each term in 8y=16+8x 8 y = 16 + 8 x by 8 8 .

How much would $200 interest compounded monthly be worth after 30 years

Answers

Given:

Principal (P)=$200

Rate of interest (r) =4%

time (t)=30 years

Number of times compounded per year(n) = 12

Required- the amount.

Explanation:

First, we change the rate of interest in decimal by removing the "%" sign and dividing by 100 as:

[tex]\begin{gathered} r=4\% \\ \\ =\frac{4}{100} \\ \\ =0.04 \end{gathered}[/tex]

Now, the formula for finding the amount is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Put the given values in the formula, we get:

[tex]A=200(1+\frac{0.04}{12})^{12\times30}[/tex]

Solving further, we get:

[tex]undefined[/tex]

Given the equation of the circle, identify the center and radius (x + 1) ^ 2 + (y - 1) ^ 2 = 36

Answers

The form of the equation of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) is the center

r is the radius

Let us compare it with the given equation to find the center and the radius

[tex](x+1)^2+(y-1)^2=36[/tex]

From the comparing

h = -1

k = 1

r^2 = 36

Find the square root of 36 to get r

[tex]\begin{gathered} r=\sqrt[]{36} \\ r=6 \end{gathered}[/tex]

The center is (-1, 1) and the radius is 6

select the graph represented by the exponential function y = 4(1/2)×

Answers

SOLUTION

We want to tell the graph that represents the function

[tex]y=4(\frac{1}{2})^x[/tex]

The graph of this function is shown below

Comparing this to what we have in the options,

we can see that the correct answer is option D

Can anyone help me? I don't know the answer.

Answers

By means of the area formula for a square, the square has an area of 4 / 49 square meters (approx. 0.0816 square meters).

What is the area of the square?

Herein we find a representation of a solid square in the figure, whose side length measure (l), in meters, is known, and whose area (A), in square meters, has to be found. Dimensionally speaking, the area unit is the square of length unit.  

The area formula of the square is shown below:

A = l²

If we know that the side length of the square has a measure of 2 / 7 meters (l = 2 / 7 m), then the area of the triangle is equal to:

A = (2 / 7 m)²

A = 4 / 49 m²

A ≈ 0.0816 m²

The area of the square is 4 / 49 square meters (approx. 0.0816 square meters).

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use the invert-and-multiply rule to divide. Reduce your answer to lowest terms.4 divide (- 2/5)

Answers

ANSWER:

- 10

STEP-BY-STEP EXPLANATION:

We have the following expression

[tex]4\div\mleft(-\frac{2}{5}\mright)[/tex]

We know that when dividing from, the nvert-and-multiply rule must be applied, as follows

[tex]\begin{gathered} 4\div\mleft(-\frac{2}{5}\mright)\rightarrow4\times\mleft(-\frac{5}{2}\mright)=\frac{4\cdot-5}{2}=\frac{-20}{2}=-10 \\ \end{gathered}[/tex]

Therefore the result of the operation is -10

The triangle shown below are similar. which line segment corresponds to RS?

Answers

B) TS

1) Since these triangles are similar then we can write out the following ratios according to the Thales Theorem:

[tex]\frac{RS}{TS}=\frac{RO}{TU}[/tex]

2) So these line segments must share the same ratio

3) Hence, the answer is TS

Answer:

TS

Step-by-step explanation:

What is the domain of the function shown in the graph below? y 10 9 8 7 6 5. 4 3 2 -10 -9 -8 -7 -6 in -4 3 -2 1 6 2 8 9 10 -2 -3 -4 -5 -6 -8 9 10 W Type here to search Et TH-WL-57336

Answers

1) As the Domain is the set of inputs (x) for that function, as we can see in the graph.

There's one point in the graph x =8, where should be an asymptote i.e. a vertical or horizontal line that prevents both graphs do not trespass.

So we can write the Domain as

D =(-∞, 8) U (8, ∞)

Because in this function, the point x=8 is not included, and from point 8 on the function continues.

use your formula to determine the height of a trapezoid with an area of 24 square centimeters and base length of 9 cm and 7 cm

Answers

Answer

The height of the trapezoid = 3 cm

Explanation

The area of a trapezoid is given as

Area = ½ (a + b) h

where

a and b = base lengths of the trapezoid

a = 9 cm

b = 7 cm

h = height of the trapezoid = ?

Area = 24 cm²

Area = ½ (a + b) h

24 = ½ (9 + 7) h

24 = ½ (16) h

24 = 8h

8h = 24

Divide both sides by 8

(8h/8) = (24/8)

h = 3 cm

Hope this Helps!!!

With the points (8. 4) (-6, -6) (-10, 12) (2,-4). What are the new points if thescale factor of dilation is X?

Answers

With the points (8. 4) (-6, -6) (-10, 12) (2,-4). What are the new points if the

scale factor of dilation is X?

we know that

The rule of the dilation of a point is equal to

(x,y) -------> (ax, ay)

with a scale factor a

so

In this problem

the scale factor is x

therefore

(8. 4) --------> (8x. 4x)

Provide the missing reasons with proof. Given: AB/DB = CB/EBProve: ∆ABC~∆DBE

Answers

Answer:

Statement 1. AB/DB = CB/EB

Reason 1: Given

Statement 2: ∠ABC = ∠BDE

Reason 2: Vertical angles

Statement 3: ∆ABC~∆DBE

Reason 3: SAS (side - angle - side)

Explanation:

It is given that AB/DB = CB/EB. So, we can say that the ratio of side AB to DB is equal to the ratio of side CB to EB. This made these sides similar.

Additionally, ∠ABC and ∠BDE are vertical angles because they are opposite angles formed when two lines intersect. Vertical angles have the same measure so, ∠ABC = ∠BDE.

Now, we can say that the triangles ABC and DBE are similar by SAS (Side-Angle-Side). Because two sides are similar and the angle between them is congruent.

Therefore, the answer is

Statement 1. AB/DB = CB/EB

Reason 1: Given

Statement 2: ∠ABC = ∠BDE

Reason 2: Vertical angles

Statement 3: ∆ABC~∆DBE

Reason 3: SAS (side - angle - side)

For the polyhedron, use eular's foemula to find the missing number

Answers

Given:

Edges of the polyhedron, E = 10

Vertices, V = 5

A polyhedron is a three-dimensional figure.

Let's find the number of faces using Euler's formula.

To find the number of faces of the polyhedron, we have the Euler's formula:

V + F - E = 2

Substitute values into the formula:

5 + F - 10 = 2

Combine like terms:

F + 5 - 10 = 2

F - 5 = 2

Add 5 to both sides:

F - 5 + 5 = 2 + 5

F = 7

Therefore, the number of faces of the polyhedron is 7

ANSWER:

7 faces

Help me with number 4 please Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06 Round the common ratio and 17th term to the nearest hundredth.

Answers

Answer:

Common ratio = 1.75

17th term = 123,802.31

Explanations:

Given the following parameters:

[tex]\begin{gathered} a_1=16 \\ a_5=150.06 \end{gathered}[/tex]

Since the sequence is geometric, the nth term of the sequence is given as;

[tex]a_n_{}=a_{}r^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

If the first term a1 = 16, then;

[tex]\begin{gathered} a_1=ar^{1-1}_{} \\ 16=ar^0 \\ a=16 \end{gathered}[/tex]

Similarly, if the fifth term a5 = 150.06, then;

[tex]\begin{gathered} a_5=ar^{5-1} \\ a_5=ar^4 \\ 150.06=16r^4 \\ r^4=\frac{150.06}{16} \\ r^4=9.37875 \\ r=1.74999271132 \\ r\approx1.75 \end{gathered}[/tex]

Hence the common ratio to the nearest hundredth is 1.75

Next is to get the 17th term as shown;

[tex]\begin{gathered} a_{17}=ar^{16} \\ a_{17}=16(1.75)^{16} \\ a_{17}=16(7,737.6446) \\ a_{17}\approx123,802.31 \end{gathered}[/tex]

Hence the 17th term of the sequence to the nearest hundredth is 123,802.31

40% of the students on the field trip love the museum. If there are 20 students on the field trip, how many love the museum?

Answers

well, what's 40% of 20?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies 8[/tex]

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used. Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.polynormial 1:[tex](x - \frac{1}{2})(6x + 2)[/tex]polynormial 2:[tex](7 {x}^{2} + 3x) - \frac{1}{3} (21 { x}^{2} - 12)[/tex]polynormial 3:[tex]4(5 {x}^{2} - 9x + 7) + 2( - 10 {x}^{2} + 18x - 03) [/tex]

Answers

Given the polynomials, let's simplify the polynomials and label them.

Polynomial 1:

[tex]\begin{gathered} (x-\frac{1}{2})(6x+2) \\ \text{Simplify:} \\ 6x(x)+2x+6x(-\frac{1}{2})+2(-\frac{1}{2}) \\ \\ =6x^2+2x-3x-1 \\ \\ =6x^2-x-1 \end{gathered}[/tex]

After simplifying, we have the simplified form:

[tex]6x^2-x-1[/tex]

Since the highest degree is 2, this is a quadratic polynomial.

It has 3 terms, therefore by number of terms it is a trinomial.

Polynomial 2:

[tex]\begin{gathered} (7x^2+3x)-\frac{1}{3}(21x^2-12) \\ \\ \text{Simplify:} \\ (7x^2+3x)-7x^2+4 \\ \\ =7x^2+3x-7x^2+4 \\ \\ \text{Combine like terms:} \\ 7x^2-7x^2+3x+4 \\ \\ 3x+4 \end{gathered}[/tex]

Simplified form:

[tex]3x+4[/tex]

The highest degree is 1, therefore it is linear

It has 2 terms, therefore by number of terms it is a binomial

Polynomial 3:

[tex]\begin{gathered} 4(5x^2-9x+7)+2(-10x^2+18x-13) \\ \\ \text{Simplify:} \\ 20x^2-36x+28-20x^2+36x-26 \\ \\ \text{Combine like terms:} \\ 20x^2-20x^2-36x+36x+28-26 \\ \\ =2 \end{gathered}[/tex]

Simplified form:

[tex]2[/tex]

The highest degree is 0 since it has no variable, therefore it is a constant.

It has 1 term, by number of terms it is a monomial.

ANSWER:

Polynomial Simplified form Name by degree Name by nos. of ter

1 6x²-x-1 quadratic Trinomial

2 3x + 4 Linear Binomial

3 2 Constant Monomial

8 ( 11 - 2b ) = -4 ( 4b - 22 )

Answers

Problem

8 ( 11 - 2b ) = -4 ( 4b - 22 )

Solution

We can distribute the terms in the equation and we got:

88 -16b = -16b +88

If we add 16b in boh sides we got:

88 =88

Then for this case we can conclude that this equation has infinite solutions

Simplify (a + 15) •2

Answers

(a + 15) •2

Multiply each term in the parentheses by 2

a*2 + 15*2

2a + 30

What is the mean before the rent ? What is the mean after the change ?

Answers

Given:

The data set of the monthly rent paid by 7 tenants

990, 879, 940, 1010, 950, 920, 1430

We will find the mean of the data:

Mean = Sum/n

n = 7

Sum = 990+879+940+1010+950+920+1430 = 7119

Mean = 7119/7 = $1017

One of the tenants change from 1430 to 1115

The mean after the change will be as follows:

Sum = 990+879+940+1010+950+920+1115 = 6804

n = 7

Mean = 6804/7 = 972

So, the answer will be:

Mean before the change = 1017

Mean after the change = 972

PLEASE HELP!!!!! I really really really really really need help with this math problem can someome help me please its has to be done in 20 mins!!!!!!!! PLEASE HELP!!!

Answers

A) To do that we will draw a line inside the triangle that is perpendicular to the base as I have don above.

B) We will also do the same for B

Sketch and calculate the area enclosed by y² = 8-x and (y + 1)² = −3+x.

Answers

The area enclosed by y² = 8 - x and (y + 1)² = −3 + x is 243.

We are given y² = 8 - x and (y + 1)² = −3 + x.

To sketch and calculate the area enclosed, find the intersection points:

y² = 8 - x ⇒ x = 8 - y²

Substitute x = 8 - y² in (y + 1)² = −3 + x:

(y + 1)² = −3 + 8 - y²

y² + 2y + 1 = −3 + 8 - y²

2y² + 2y - 4 = 0

y² + y - 2 = 0

(y - 1) (y + 2) = 0

y = 1, -2

Substitute y = 1, -2 in x = 8 - y²:

When y = 1, x = 8 - (1) ⇒ x = 7

When y = -2,  x = 8 - (-2)² ⇒ x = 4

Thus, the point of intersection is (4, -2) and (7, 1).

Graph of the region enclosed by y² = 8 - x and (y + 1)² = −3 + x:

The area of the enclosed region is given by:

A = [tex]\int \, \int \,dA[/tex]

[tex]=\int\limits^7_{-2} \, \int\limits^{3+ (y+1)^{2} } _{8 - y^{2} } \, dxdy[/tex]

[tex]=\int\limits^7_{-2} \, (x)^{3+ (y+1)^{2} } _{8 - y^{2} } \, dy[/tex]

[tex]=\int\limits^7_{-2} \, [{(3+ (y+1)^{2} )} -({8 - y^{2} })] \, dy[/tex]

[tex]=\int\limits^7_{-2} \, {(2 y^{2} + 2y -4) } \, dy[/tex]

[tex]=(\frac{2y^3}{3} + \frac{2y^2}{2} -4y)^7_{-2}[/tex]

[tex]=\frac{686}{3} + 49 - 28 + \frac{16}{3} - 4 - 8[/tex]

= 343

Hence, the area enclosed by y² = 8 - x and (y + 1)² = −3 + x is 243.

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Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance R toelectrical flow of the electrical current I and the voltage V are related by the formula V = RI. (Voltage ismeasured in volts, resistance in ohms, and current in amperes.) Find the resistance to electrical flow in a circuitthat has a voltage V = (40+30i) volts and current I = (-5+ 3i) amps._+_i/_Note: Answer in the forma + bi/c. If b is negative make sure to put a negative sign in the answer box.

Answers

we have the formula

[tex]\begin{gathered} V=RI \\ R=\frac{V}{I} \end{gathered}[/tex]

substitute given values

[tex]R=\frac{40+30i}{-5+3i}[/tex]

Remember that

To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator

the conjugate of the denominator is (-5-3i)

so

[tex]\begin{gathered} R=\frac{40+30\imaginaryI}{-5+3\imaginaryI}*\frac{-5-3i}{-5-3i}=\frac{-40(5)-40(3i)-30i(5)-30i(3i)}{25-9i^2}=\frac{-200-120i-150i-90i^2}{25-9(-1)}=\frac{-110-270i}{34} \\ \\ R=\frac{-110-270\imaginaryI}{34} \\ simplify \\ R=\frac{-55-135\imaginaryI}{17} \end{gathered}[/tex]

According to the graph, what is the value of the constant in the equation below?A.2B.0.667C.3D.1.5

Answers

Solution

- The constant being asked for is the slope of the graph.

- The formula for finding the slope of a graph is:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ where, \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the points on the line} \end{gathered}[/tex]

- The points on the graph that we will use are:

[tex]\begin{gathered} (x_1,y_1)=(2,3) \\ (x_2,y_2)=(4,6) \end{gathered}[/tex]

- Thus, we can find the constant as follows:

[tex]\begin{gathered} m=\frac{6-3}{4-2} \\ \\ m=\frac{3}{2}=1.5 \end{gathered}[/tex]

Final Answer

The constant(slope) is 1.5 (OPTION D)

The circle above is rotated about the axis as shown. What shape is formed?cylinderconedonutsphere

Answers

The answer is a donut.

A donut or Toroid is formed when you rotate an circle by a rotation axis displaced of the center of the circle.

Answer:

Step-by-step explanation:

donut

Question 2b: NAME THE Y-INTERCEPTy = -2(x - 3)^2

Answers

The given equation corresponds to a parabola:

[tex]y=-2(x-3)^2[/tex]

The y-intercept of the parabola is the point when it crosses the y-axis, at this point x=0, to determine this value you have to replace the formula with x=0 and calculate the value of y:

[tex]\begin{gathered} y=-2(0-3)^2 \\ y=-2(-3)^2 \end{gathered}[/tex]

Solve the exponent first, then the multiplication

[tex]\begin{gathered} y=-2(-3)^2 \\ y=-2\cdot9 \\ y=-18 \end{gathered}[/tex]

The y-intercept for the given function is (0,-18)

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