What is the value of the expression? ( 5/2 ) ^2 +3/4 ^3

Answers

Answer 1

5/2 ^2 = 6 1/4 = 6.25

3/4^3 = 27/64 = 0.4201875

6 1/4 + 27/64 = 6 43/64 (mixed number)

6.25 +0.421875 = 6.671875 (decimal)

not sure what format you need, since the question was in fraction form, I think you need to answer using a mixed number though.

Related Questions

What is 187.023 in word form

Answers

One thousand seven hundred twenty three

What affect does "h" have on the parent function y = 1/x ?

h < 0 moves the graph to the left, h > 0 moves the graph to the right.

Vertical stretch by a factor of |h|

h > 0 moves the graph up, h < 0 moves the graph down.

h > 0 reflects the graph across the y-axis.

Answers

If h moves the graph left or right, [tex]y= \frac{1}{x+h} [/tex] (moves left)
[tex]y= \frac{1}{x-h} [/tex] (moves right)

If a vertical stretch by a factor of |h|, then [tex]y = \frac{h}{x} [/tex]

If h moves the graph up or down, [tex]y= \frac{1}{x} +h[/tex] (moves up)
[tex]y= \frac{1}{x} -h[/tex] (moves down)

[tex]y= \frac{1}{-hx} [/tex] and h = 1

The sum of the circumference of a circle and the perimeter of a square is 16. find the dimensions of the circle and square that produce a minimum total area. (let x be the length of a side of the square and r be the radius of the circle.)

Answers

Let r = the radius of the circle.
Let x = the length of a side of the square.

The sum of the circumference of the circle and the perimeter of the square is 16.
Therefore
2πr + 4x = 16
That is
[tex]r = \frac{2}{ \pi } (4-x)[/tex] (1)

The combined area of the circle and the square is
[tex]A = \pi r^{2} + x^{2}[/tex] (2)

From (1), obtain
[tex]A = \pi . \frac{4}{ \pi ^{2}}(4-x)^{2} + x^{2} = \frac{4}{ \pi } (4-x)^{2}+x^{2} [/tex]

In order for A to be minimum, A' = 0.
That is,
[tex]- \frac{8}{ \pi } (4-x)+2x=0 \\x(2+ \frac{8}{ \pi } ) = \frac{32}{ \pi } \\ x =2.2404[/tex]
The second derivative should be positive in order for A to be minimum.
A'' = 8/π + 2 > 0 , so the condition is satisfied.
The graph shown below confirms this.

From (1), obtain
r = (2/π)*(4 - 2.2404) = 1.1202

Answer:
r = 1.12 and x = 2.24

Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.
A) d + 22 ≤ 28; d ≤ 72
B) d – 22 > 28; d > 50
C) d + 22 ≥ 28; d ≥ 72
D) d – 22 ≥ 28;d ≥ 50

Answers

We'll if you said you spent 22 and now you have 28

28 + 22 = 50

So the answer would be
B. d – 22 > 28; d > 50
I hope this helped : )

Answer:

D) d – 22 ≥ 28;d ≥ 50

Step-by-step explanation:

Let d represents the initial money ( in dollars ) in the account,

So, after spending $ 22 the remaining amount = initial amount - $ 22 = (d-22) dollars,

According to the question,

The remaining amount ≥ $ 28

⇒ d - 22 ≥ 28

Adding 22 on both sides, ( additive property of inequality ),

⇒ d ≥ 50

Hence, the required inequality and its solution would be,

d - 22 ≥ 28; d ≥ 50

Option 'D' is correct.

The graph of a linear function h contains the points given in the table below.

Find h^-1. x y
-2,4
-1,2
1,-2
2,-4

a.h^-1(x)=2x
b.h^-1(x)=-2x
c.h^-1(x)=1/2x
d.h^-1(x)=-1/2x

Answers

d

y=-2x
inverse x=-2y
y= -1/2x

Answer:

h-1(x) = -x

Step-by-step explanation:

Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.

Answers

9 ≤ 17 - 4x

9 - 17 ≤ 17 - 17 - 4x

-8/-4 ≤ - 4x/-4

x≤ 2

hope this helps

The first thing you need to do is get rid of the 17 to leave -4x isolated..

so subtract -17 from 9 = -8 ≤-4x divide -4 from both sides = x≤2

Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7 (line graph)

Answers

3x + 1 < 7...subtract 1 from both sides
3x < 7 - 1
3x < 6 ...divide both sides by 3
x < 6/3
x < 2

there will be an open circle on 2....because the problem has no equal sign...the line will be shaded to the left...because it is less then.

The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]

Further explanation:

There are two types of the interval close interval and open interval.

If the values of [tex]\text{x}[/tex] doesn’t includes the number than it is represented by hollow dot on the number line and if the values of [tex]\text{x}[/tex] includes the number than it is represented by the solid dot on the number line.

Given:

The inequality is [tex]3x + 1 < 7.[/tex]

Explanation:

The given inequality is [tex]3x + 1 < 7.[/tex]

Subtract 1 from both side of the inequality.

[tex]\begin{aligned}3x + 1 - 1 &< 7 - 1\\3x &< 6\\\end{aligned}[/tex]

Now divide both sides by 3.

[tex]\begin{aligned}\frac{{3x}}{3} &< \frac{6}{3}\\x&< 2\\\end{aligned}[/tex]

The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]

Learn more:

Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Compound inequalities

Keywords: solution, [tex]3x + 1 < 7[/tex], inequalities, graph, compound inequality, graph representation, number line, close interval, open interval, line graph.

Lydia is trying to prove that a quadrilateral in a coordinate plane is a square. First, she uses the slope formula to prove that there are two pairs of parallel sides. Next, she uses the distance formula to prove that all sides are equal. What additional step must Lydia perform before reaching a conclusion that the quadrilateral is a square?

A) Use the distance formula to prove that the diagonals of the quadrilateral are not equal.
Eliminate
B) Use the slope formula to prove that four right angles exist as a result of perpendicular sides.
C) Use the midpoint formula to prove that the diagonals of the quadrilateral do not bisect each other.
D) Use the Pythagorean Theorem to prove that the diagonals of the quadrilateral are twice the length of each side.

Answers

You need to show that the sides are perpendicular.

Its B

Answer:

slope

Step-by-step explanation:

A total of 15000 is to be divided between jon and wendy with jon to receive 2500 less than wendy how much will she receive

Answers

j + w = 15,000
j = w - 2500

w - 2500 + w = 15,000
2w - 2500 = 15,000
2w = 15,000 + 2,500
2w = 17500
w = 17500/2
w = 8750 <=== what wendy receives

j = w - 2500
j = 8750 - 2500
j = 6250...what Jon receives

Wendy will get $8750.

We have a total of 15000 that is to be divided between Jon and Wendy with Jon to receive 2500 less than Wendy how much will she receive.

We have to determine how much money will Wendy receive.

A total of 20 chocolates are to be divided between you and your brother such that you will get 6 more chocolates than your brother. How many chocolates will your brother get?

Assume your brother gets x number of chocolates.

Then, you will get - x + 5.

Therefore -

x + x + 6 = 20

2x = 14

x = 7

According to the question -

Assume that Wendy receives $x.

Then Jon will receive $(x - 2500).

Then -

x + x - 2500 = 15000

2x = 17500

x = 8750

Hence, Wendy will get $8750.

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A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to make the trip. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled in moving water, using 3.6 h for the time. Then write an expression for the distance traveled as if in still water, using 4.5 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?

Answers

Given:

t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water

Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current

Solution:

Working formula: distance = velocity*time

a) For travelling downstream, we get the equation

d = (x +y)*3.6

For travelling upstream, we get the equation

d = (x-y)*4.5

b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of

(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9

c) percentage = 1/9*100% = 11.1%

ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
b) y = x/9
c) 11.1%

Leia is operating a digital spinner game in which a player spins an arrow and is given a prize based on where the spinner lands. Leia can program the probability of each of the outcomes. The stuffed teddy bear is the best prize, so she programs the spinner so that the probability of not getting a bear twice in a row is greater than 3 times the probability of getting the teddy bear in one spin.

Write an inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear, using p to represent the probability of getting the teddy bear in one try.

Answers

In the problem, we are given that the probability of getting a bear is equal to p. Where probability is the share of successful outcome in this case is the bear) over total outcomes (total amount of prizes).

The likelihood of not receiving a bear two times in a row is containing of 2 tries:

try 1: 1st spin gets a bear, 2nd spin does not receive a bear

total probability of try 1 = p * (1 – p)

try 2: 1st spin does not get a bear, 2nd spin gets a bear

total probability of try 1 = (1 – p) * p

The total probability of the 2 tries is just the sum of the 2:

Overall probability of not getting a bear twice in a row= p * (1 – p) + (1 – p) * p

Simplifying this will give us:

Overall probability of not getting a bear twice in a row = 2p * (1 – p)

Therefore, the likelihood of not receiving a bear twice in a row > 3 times the probability of getting the teddy bear. Rewriting the statement, will give us the inequality of 2p * (1 – p) > 3 p

Final answer:

To compare the probability of getting the teddy bear to the probability of not getting the teddy bear, use the inequality p^2 + 3p - 1 < 0.

Explanation:

To write an inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear, we can use the inequality sign. Let's represent the probability of getting the teddy bear in one try as 'p'. Since we want the probability of not getting a bear twice in a row to be greater than 3 times the probability of getting the teddy bear in one spin, we can write the inequality as:

1 - p * p > 3p

Simplifying the inequality, we get:

1 - p^2 > 3p

Then, rearranging the terms, we get:

p^2 + 3p - 1 < 0

This is the inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear.

Identify the segment bisector of JK

Answers

Answer:

A segment whose length is 9 units.

Step-by-step explanation:

A segment whose length is 9 units.

All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:

3x+15=8x+25

3x-8x=25-15

-5x=10

5x=-10

x=-2

JM=3(-2)+15 =9

MK=8(-2)+25=9

Answer:

Step-by-step explanation:

In how many distinct ways can the letters in engineering be arranged?

Answers

This is about permutations.Engineering has 11 alphabets.
So the answer is
11!=39916800

yep he's correct it is 11=39916800

The radius of a cylindrical construction pipe is 2ft . if the pipe is 23ft long, what is its volume? use the value 3.14 for π , and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Answers

answer is v=πr^2h =288.88ft

Help please me thanks

Answers

L= 5X+1 W= 2x+5. X=1 L= 6 W= 7 (SU= 26)

Geometry! What describes line FI?

Answers

Defining "bisect" is a good first step in figuring this one out; when we say an angle or a line is being "bisected," we mean that it's being split in half, into two equal angles/line segments. Here, the line segment FI seems to be dividing the line segment EG in half, as evidenced by the congruent line segments EF and FG. Notice too that the angle the line forms, ∠EFI, is right. What keyword in those four options has something to do with right angles?

Which scientist arrived at a fairly accurate calculation of the value of pi?

Answers

The scientist that arrived at a fairly accurate calculation of pi was Archimedes,

Rotate 90 clockwise around the origin (-6,-2) (-3,1) (-1,1) (2,-4) please help me!

Answers

the rule for a 90 clockwise rotation is basically an 180 degree rotation counterclockwise so (x,y) to (y,-x) so
(-6,-2) to (-2,6)
(-3,1) to (1,3)
(-1,1) to (1,1)
(2,-4) to (-4,-2)

The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).

Answers

Answer:

A. ∠M ≅ ∠M''

B. △LMN ~ △L''M''N''

E. The coordinates of vertex N'' are (3, -1.5).

Step-by-step explanation:

Transformation involves changing the position and size of a shape.

The true statements are:

[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].

The coordinates of the triangle are:

[tex]\mathbf{L = (-1, 2)}[/tex]

[tex]\mathbf{ M = (-1, -1)}[/tex]

[tex]\mathbf{N = (2, -1)}[/tex]

The transformation rule is given as:

[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]

The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.

Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:

[tex]\mathbf{\angle l \cong \angle l"}[/tex].[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\angle n \cong \angle n"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex]

The above highlights means that:

The angles of both triangles are congruentThe triangles are similar

Next, we apply the rule on the coordinates of the triangle

[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]

[tex]\mathbf{L" = (-1.5,3)}[/tex]

[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]

[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]

[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]

[tex]\mathbf{N" = (3,-1.5)}[/tex]

Hence, the true statements are:

[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].

Answers

The angles and length would remain the same but the coordinates would be different

Answer:

The angles and side length would remain the same, the only thing that would change is the cornents, therefore the original pre image and the image would be congruent.

Step-by-step explanation:

Suppose that a number written as a decimal has an infinite number of non–repeating digits after the decimal point. what is this number called?

Answers

This kind of number is known as an irrational number

When a number has an infinite number of non-repeating digits, which is called a non-terminating decimal value, then such number is an irrational number such as 1.3127...

Irrational number are real numbers which cannot be expressed in the form of p/q ; that is they cannot be expressed accurately as a ratio.

They are characterized as having repeating decimal values as well as non-terminating decimal digits.

When a number has unending or infinite number of non-repeating digits, it is said to be non-terminating, hence, such number is called an irrational number.

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Should your calculator be in radians or degrees for physics

Answers

Both. They're both used all the time, sometimes the question is in radians and other times its in degrees. Mine is mostly on degrees though.

(3a3 − 5b3) + a3 + b3 = (a3 + b3).

Answers

a=5/3b that’s what I got when I tried it

Answer:

-2

Step-by-step explanation:

The gas tank in Ms. Brown's car holds a total of 15 gallons. At any given time, how many gallons, g, will Ms. Brown have to pump into her car to fill her tank given the fraction of the tank,f, already filled?

A. g = 15f
B. g = f15/f
C. g = 15−15f
D. g = 15-15/f

Answers

Answer:

c cause i took the sat practice

The number of gallons (g) that Ms. Brown have to pump into her car to fill her tank will be g = 15 – 15f. Then the correct option is C.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The gas tank in Ms. Brown's car holds a total of 15 gallons.

At any given time.

The number of gallons (g) that Ms. Brown have to pump into her car to fill her tank given the fraction of the tank, f, already filled will be

The gas in a tank will be

⇒ 15f

Then number of gallons (g) will be

⇒ 15 – 15f

Then the correct option is C.

More about the fraction number link is given below.

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Which of the following inequalities is equivalent to 8 ≤ x.

Answers

What are your choices?

Answer:

The answer is D

Step-by-step explanation:

some integers are whole numbers? true or false

Answers

the answer would be true.

The correct answer would be teuw

IS THIS TRUE OR FALSE

A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

Answers

I believe that to be true

A transformation that makes a figure similar to the original by making it proportionally smaller of larger. In a dilation, a shape is stretched or compressed proportionally from a point called the point of dilation. So it is True.

Is this function even, odd, or neither?

Answers

when a function is even, they have symmetry with respect to the y-axis, what does that mean? well, the graph to the right-side of the y-axis is just a mirror image of the graph to the left-side of the y-axis.

when a function is odd, the symmetry is with respect to the origin, meaning, the graph to the right-side of the y-axis, is a mirror image of the one on the left-bottom-upside-down. So, you take a photo of the right-side graph,flip it over the x-axis, and then flip it again over the y-axis.

now, this one shows neither of those behaviours.

Answer:

The given function is neither even nor odd.

Step-by-step explanation:

A function is an even function if

[tex]f(-x)=f(x)[/tex]

A function is an odd function if

[tex]f(-x)=-f(x)[/tex]

From the given graph it is clear that graph is passing though the points (-3,2), (-1,2), (0,1/2), (1/2,0), (1,-1), (2,-1) and (3,1).

Here,

[tex]f(3)=1[/tex]

[tex]f(-3)=2[/tex]

[tex]f(-3)\neq f(3)[/tex] and [tex]f(-3)\neq -f(3)[/tex]

Since [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], therefore the given function is neither even nor odd.

Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss? (the answer is not a scientific truth, only made up numbers!!!)

Answers

two equations

let c the calories in carrot
let h the calories in hershey's kisses

4c + 8h = 230 eq 1
10 c + 7 h = 263 eq 2

to solve the solution we multiply eq 1 by 10
we multiply eq 2 by 4

40 c + 80 h = 2300
40c + 28 h = 1052

we subtract the two equations we get
52 h = 1248

h= 24

and so in replacing h = 24 in the equation we get c = 9.5

Both equations in a system of linear equations have y-intercepts at (0,2). is it possible for this system to have only one solution?

Answers

it depends on the x variables u need y and x in order to figure it out

Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.

Given :

Both equations in a system of linear equations have y-intercepts at (0,2).

The following steps can be used in order to determine the system have only one solution or not:

Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).

Step 2 - The equation of a line is given by:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.

For more information, refer to the link given below:

https://brainly.com/question/2564656

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