Simplify. Express your answer as a single term, without a denominator. t0u/tu

Answers

Answer 1

Yes that is correct always

Related Questions

Um cone reto tem 24cm de altura e o raio da base é igual a 18cm. Calcule
A) a medida de sua geratriz
B) a área total lateral (aproximadamente)
C) a área total (aproximadamente)
+volume

Answers

A)
A geratriz pode ser encontrada através dum teorema de Pitágoras. Tendo a altura e o raio, podemos chegar à medida da geratriz. Soma-se o quadrado da altura com o quadrado do raio para se obter o quadrado da geratriz. depois basta fazer a raíz quadrada do quadrado da geratriz para encontrar a medida da geratriz.
[tex]\sqrt{24^{2}+ 18^{2} } = g [/tex] ⇔ 30 = g
A medida da geratriz é 30cm

B)
A área total lateral é obtida multiplicando o raio pela geratriz e pelo π.
Área total lateral = r×g×π ⇔ Atl = 18cm×30cm×π ⇔ Atl ≈ 1696,5cm²

C)
A área total é calculada somando a área da base e a área lateral. A área da base é calculada multiplicando o quadrado do raio pelo π.
Área total ≈ 1696,5cm²+(18²cm×π) ≈ 1696,5cm²+1017,9cm² ≈ 2714,4cm²

O volume do cone é dado pela área da base vezes a altura a dividir por três.
Volume do cone = (área da base×altura do cone)÷3 ≈ (1017,9cm²×24cm)÷3 ≈ 24429,6cm³÷3 ≈ 8143,2cm³

a store manager orders t-shirts so that 15 out of every 35 are medium. how many medium t-shirts would you expect to find when there are 105 t-shirts on the rack. explain how to get

Answers

I'm pretty sure you do 15/35 (fifteen over thirty-five) times x/105 (x over one hundred and five) and cross multiply. If you get a calculator and multiply, you'll find that 15x105 is 1,575, and 35 times x is 35x. Your equation is then 35x=1,575. If you divide 1,575 by 35 you get 45. Another way to check this is by putting 15/35= in a calculator. It'll tell you 3/7. The same thing will happen with 45/105. Also, 105 divided by 35 is three, so you can multiply 15 by three. Either way, the answer is 45 medium per every 105 a rack.

A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the firstIf 50x represents the distance the slower train travels, then the faster train travels?

Answers

Train A : 50 mph
Train B : 55 mph

After 30 mins train A has travelled 25 miles
Relative speed of trains is 5 mph

Consider train A at rest and train B at 5 mph

t = 25 / 5 h

t = 5 h

Second train overtakes after 5 h

For two trains with speeds given as 50 mph and 55 mph and a 30-minute head start for the first, the second train overtakes the first after 5 hours, based on their relative speed.

Here's how to solve a similar problem based on the given examples:

Let the first train's speed be 50 mph and the second train's speed be 55 mph.

The first train has a 30-minute head start, which at 50 mph means it has traveled 25 miles before the second train departs (since 50 miles/hour * 0.5 hours = 25 miles).

The second train travels 5 mph faster than the first, so the relative speed is 55 mph - 50 mph = 5 mph.

Now calculate the time it takes for the second train to catch up by dividing the head start distance by the relative speed: Time = Distance / Relative Speed, which is Time = 25 miles / 5 mph = 5 hours.

So, the second train will overtake the first train after 5 hours.

Let r1 and r2 be relations on a set a represented by the matrices mr1 = ⎡ ⎣ 0 1 0 1 1 1 1 0 0 ⎤ ⎦ and mr2 = ⎡ ⎣ 0 1 0 0 1 1 1 1 1 ⎤ ⎦. find the matrices that represent
a.r1 ∪ r2.
b.r1 ∩ r2.
c.r2 ◦r1.
d.r1 ◦r1.
e.r1 ⊕ r2.

Answers

Given:
[tex]r1 = \left[\begin{array}{ccc}0&1&0\\1&1&1\\1&0&0\end{array}\right] \,\, and \,\, r2= \left[\begin{array}{ccc}0&1&0\\0&1&1\\1&1&1\end{array}\right] [/tex]

Part a. r1 ∪ r2
This assembles matrix elements from either r1 and/or r2.
[tex]r1 \cup r2 = \left[\begin{array}{ccc}0&1&0\\1&1&1\\1&1&1\end{array}\right] [/tex]

Part b. r1 ∩ r2
This assembles matrix elements common to both r1 and r2.
[tex]r1 \cap r2 = \left[\begin{array}{ccc}0&1&0\\0&1&1\\1&0&0\end{array}\right] [/tex]

Part c. r2 . r1
[tex]r2 \circ r1 = \left[\begin{array}{ccc}0&1&0\\0&1&1\\1&1&1\end{array}\right] \left[\begin{array}{ccc}0&1&0\\1&1&1\\1&0&0\end{array}\right] = \left[\begin{array}{ccc}1&1&1\\2&1&1\\2&2&1\end{array}\right] [/tex]

Part d. r1 . r1
[tex]r1 \circ r1 = \left[\begin{array}{ccc}0&1&0\\1&1&1\\1&0&0\end{array}\right] \left[\begin{array}{ccc}0&1&0\\1&1&1\\1&0&0\end{array}\right] = \left[\begin{array}{ccc}1&1&1\\2&2&1\\0&1&0\end{array}\right] [/tex]

Part e. r1 ⊕ r2 (Direct sum)
[tex]r1 \oplus r2 = \begin{bmatrix} r1&0\\0&r2\end{bmatrix} = \begin{bmatrix} 0&1&0 &0&0&0\\ 1&1&1 &0&0&0\\ 1&0&0 &0&0&0\\ 0&0&0 &0&1&0\\0&0&0 &0&1&1\\ 0&0&0 &1&1&1\end{bmatrix}[/tex]

Final answer:

The operation results on the matrices representing relations r1 and r2 are beautiful illustrations of how relations are manipulated in set theory. Given the limitations imposed by the data available, only three of the five stipulated operations can be carried out.

Explanation:

In the given question, the student needs to perform different operations on the matrices that represent relations r1 and r2. Here is the solution:

r1 ∪ r2 (Union of r1 and r2): It's obtained by taking the union of the corresponding elements in the two matrices. If either or both of the matrices have a 1 in a position, then put a 1, else 0. So the matrix for r1 ∪ r2 is ⎡ ⎣ 0 1 0 1 1 1 1 1 1 ⎤ ⎦ r1 ∩ r2 (Intersection of r1 and r2): It's obtained by taking the intersection of the corresponding elements in the two matrices. If both of the matrices have a 1 in a position, then put a 1, else 0. So the matrix for r1 ∩ r2 is ⎡ ⎣ 0 1 0 0 1 1 1 0 0 ⎤ ⎦ r2 ◦r1 (Composition of r2 and r1): If there exists an element in the set such that (a, b) is in r1 and (b, c) is in r2, then put a 1 in A[ac] else put a 0. Due to this, the matrix comprehension is studied in higher mathematics, and it can't be calculated from the given matrices. r1 ◦r1 (Composition of r1 and r1): Same as the previous operation but with both relations being r1. It also requires the full set of elements to calculate and can't be derived from the given matrices. r1 ⊕ r2 (Symmetric difference of r1 and r2): It is obtained by taking the XOR of each element in the matrices. So if the two elements are the same, put a 0, else put a 1. So the matrix for r1 ⊕ r2 is ⎡ ⎣ 0 0 0 1 0 0 0 1 1 ⎤ ⎦

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What is the surface area of a cylinder whose radius is 3 inches and whose height is 10 inches? Round to the nearest tenth.

SA = 2π r2 + 2π rh
A. 226.1 square inches
B. 241.8 square inches
C. 244.9 square inches
D. 543.3 square inches

Answers

The answer is C. 244.9

Write the next two terms in the pattern. 3, 10, 17, 24, . . .

Answers

the pattern is +7.
So next values would be 31 and 38

10-3 =7

each term increases by 7

so 24 +7 = 31

31+7 = 38

next 2 terms are 31 & 38

Deidre is 5 feet 4 inches tall and her weight is 135 pounds. her bmi is closest to _____ kg/m2.

Answers

Deidre bmi is 23.73.

1. Multiply the weight by .45:

135 X .45 = 60.75kg

2. Multiply the height in INCHES by .025

Convert 5feet 4inches to only inches (5*12+4) = 64 inches

Now multiply 64 X .025 = 1.6 m

3. Square the answer from the above step.

1.6 X 1.6 = 2.56m

4. Divide the answer from the first step by the answer from the third step.
60.75kg/2.56m = 23.73.

Deidre bmi is 23.73.

How is an emulsion different from a solution?
:The components are mixed unevenly instead of evenly within the emulsion.
:Insoluble instead of soluble particles are suspended within the emulsion.
:Two liquids that normally are not mixable are mixed in the emulsion.
:The components of an emulsion are single elements or compounds instead of a mixture of compounds.

Answers

Emulsion is a liquid suspended in a liquid while solution is liquid and solid

Please help me with this!!!!

Answers

Let's get a feel for what the question is asking here, and what tools we can use to approach it. A quick list of information we're given:

- Small bottles can hold 2/5 L of vinegar
- Containers hold 5 L of vinegar

The question asks us specifically about the case where we have 3 containers; together, their volume totals to 3 x 5 = 15 L of vinegar.

We're asked to find the number of 2/5 L bottles we can make from those 15 L, or in other words, we're being asked to divide the 15 L up into 2/5 L portions. The math question at the core of this is really 15 ÷ 2/5.

If you have much familiarity with division by fractions, you might know that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of 2/5 is 5/2, so 15 ÷ 2/5 is the same as 15 x 5/2. Solving that out, we get:

[tex]15\times \frac{5}{2} = \frac{15\times5}{2}= \frac{75}{2}[/tex]

75/2 as a mixed number is 37 1/2; if we were going for an exact answer, we could stop there and say that the containers fill exactly 37 1/2 bottles, but the question specifically asks how many containers can be completely filled, so we'll have to throw away the fractional part, leaving us with an answer of 37 bottles.

Find the distance from point A(−1, 7) to the line y= 3x. Round your answer to the nearest tenth.

Answers

the line joining A to y = 3x will be perpendicular to the latter so its slope will be -1/3.

its equation will be y - 7 = -1/3(x + 1)

= y = -1/3x + 20/3

where the lines intersect:-

3x = -1/3x + 20/3
10/3 x = 20/3

x = 2 and y = 3*2 = 6

so we need to find distance between (-1,7) and (2,6)

this is sqrt[((7-6)^2 + (-1-2)^2)] = sqrt 10 = 3.2 to nearest tenth.

I assume that we want to find the minimum distance between the point A(-1, 7) and the line y = 3x.

We will get that the distance is 3.22

So first, let's see how to get the distance between two points (x₁, y₁) and (x₂, y₂). We just use the general formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Now we want to find the distance between (-1, 7) and a point on the line y = 3*x, that can be written as (x, 3x)

That distance is:

[tex]d = \sqrt{(-1 - x)^2 + (7 - 3x)^2}[/tex]

Now we want to minimize this, which is equivalent to minimize d^2, then we can define:

D = d^2

and write:

[tex]D = (-1 - x)^2 + (7 - 3x)^2\\\\D = 1 - 2x + x^2 + 49 - 42x + 9x^2\\\\D = 10x^2 - 44x + 50[/tex]

Now we need to minimize this, which is a parabola, so the minimum will be at the vertex of the parabola (we know this because the leading coefficient is positive, thus the parabola opens upwards).

Remember that for a parabola like:

a*x^2 + b*x + c

The vertex is at:

x = -b/2a

Then for our parabola, the vertex will be at:

x = -(-44)/(2*10) = 44/20 = 2.2

Thus the minimum distance is given by:

[tex]d = \sqrt{(-1 - 2.2)^2 + (7 - 3*2.2)^2} = 3.22[/tex]

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in 2003, a gallon of gas cost $1.75. In 2013 a gallon of gas cost $3.25. Write an equation to model this situation.

Answers

Final answer:

To model the situation of the gas prices in 2003 and 2013, we can use a linear equation. The equation to model this situation is y = $0.15x - $298.70.

Explanation:

To model the situation of the gas prices in 2003 and 2013, we can use the equation of a linear relationship between the year (x) and the cost of gas (y). We can use the formula y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m):

The change in cost of gas is $3.25 - $1.75 = $1.50The change in years is 2013 - 2003 = 10

Therefore, the slope (m) is $1.50 / 10 = $0.15.

Next, let's find the y-intercept (b):

Using the point (2003, $1.75), we can substitute the values into the equation and solve for b:

$1.75 = $0.15(2003) + b

b = $1.75 - $0.15(2003)

b = $1.75 - $300.45

b = -$298.70

Therefore, the equation to model this situation is y = $0.15x - $298.70, where x is the year and y is the cost of gas.

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Help me i hate word problems

Answers

Is that all? My Algebra is freackin hard compared to this. Anyways, The way I understand this, is that we will have 3 (liters of water) +0.5 (half a liter of lemonade) =3.5 liters of liquid

so the question would be: how many times does fit into 3.5?

if you want to divide by a fraction, you need to multiply by the reverse of it.

so the answer is: 10 servings of lemonade ( and a little bit will be left over for half a serving).
Hope this helps!

PLEASE HELP

Solve for x.

−32>−5+9x

Enter your answer, as an inequality, in the box.

Answers

-32 > - 5 + 9x

-32 + 5 < 9x

-27 < 9x

-3 < x

x > -3

hope that helps, God bless!

Inequality is a statement of an ordered relationship

The value of x as inequality is less than -3.

x < -3 is our answer.

What is inequality?

It is a statement of an ordered relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

Example:

x > 3

y < 5

x ≤ 6

y ≥ 2

We have,

-32 > -5 + 9x

Add 5 on both sides.

-32 + 5 > -5 + 9x + 5

[ -32 + 5 = -27 ]

-27 > 9x

Divide both sides by 9.

-27/9 > 9x/9

-9 x 3 / 9 > 9x / 9

-3 > x

This can be written as:

x < -3

Thus,

The value of x as inequality is less than -3.

i.e x < -3

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What is the average of 5.24,6.875,3.298,5.7,4.98? Round the answer to 2 decimal points

Answers

The original answer is 5.2186. After you round, your answer should become 5.22

Find the quotient. Show all work for full credit. 4+2i/6-i

Answers

Multiply top and bottom of the fraction by the conjugate of 6 - i:-

(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i
----------------- = ---------------- = -----------
(6 - i)(6 + i) 36 - (-1) 37

The quotient of 4+2i/6-i is (11/4-4i)/*1/5.

What is quotient?

Quotient is a result obtained by dividing one quantity by another.

explanation;

(4-2i)/(6-i)

Multiply and divide by the denominator = (6+i)

=>(4-2i)/(6-i)/(6+i)(6+i)

=> (4*6 + 4i - 12i - 2i^2)/[6^2 - (2i)^2]

=> (24 - 8i -2)/ [36 + 4] [since i^2 = -1]

=> (22-8i) /40

=> 22/40 - 8i/40

=> 11/20 - i/5

Hence, the quotient of 4+2i/6-i is (11/4-4i)/*1/5.

A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.

The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among or more matters.

A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.

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Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.

Answers

Hello,

The equation for point-slope form is y-y1 = m (x-x1).

Let's plug in the numbers for the equation: y-5 = 3 (x+1). This is the equation for point-slope form with the given slope and pair.

Hope this helps!

May

Final answer:

The equation of the line that passes through the point (-1,5) and has a slope of 3 in point-slope form is y = 3x + 8.

Explanation:

The subject of this question relates to Mathematics, specifically algebra and line equations. The line equation in point-slope form is given by y - y1 = m(x - x1). In this equation, (x1, y1) represents the point that the line passes through and m represents the slope of the line. In our case, we know that the line passes through the point (-1,5) and has a slope of 3.

By substituting these values into the point-slope formula, we get the following:y - 5 = 3(x - (-1)), or, after simplifying, y - 5 = 3x + 3. So, the equation of the line that passes through (-1,5) and has a slope of 3 is y = 3x + 8.

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Complete the square: x2 – 6x + ____ = –13 + ____
Help Please!!!

Answers

to complete the square, you add (b/2)^2 on both side. in this case, b is -6, half of -6 is -3, -3 squared is 9, so:
x^2-6x+9=-13+9
(x-3)^2=-4
This quadratic equation have unreal solutions

The complete expression for the given equation is x^2 - 6x + 9= -13 +9

Complete the square

Given the quadratic expression x^2 - 6x = -13

In order to complete the square, we will follow the steps

Coefficient of x is -6

Half of the coefficient. = (-6/2) = -3

Square of the result = (-3)^2 = 9

Add 9 to both sides of the equation

x^2 - 6x + 9= -13 +9

Hence the complete expression for the given equation is x^2 - 6x + 9= -13 +9

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number we give to rate how strongly two variables are related to one another

Answers

I believe that the correct word here is correlation. Correlation is the term that we use when we want to say that something is strong related to the other. Correlation must be however differentiated from causality. Correlation is when two things occur at the same time. Causality is when one results in the occurrence of the other.

Correlation coefficient has a maximum value of 1 which indicates strong relationship.

Find the volume of the composite solid. Round your answer to the nearest hundredth.

A.239.24cm^3
B.246.08cm^3
C.294.03cm^3
D.308.78cm^3

Answers

So the composite solid has a rectangular pyramid top with a rectangular box below.
We can find the total vol. by adding the two together: Vol (v)total = vol (pyra) + vol (box)
vol (tot) = (1/3×base×height) + (l×w×h)
In order to find the height (h) of the triangle, we imagine a string dropped straight down from the apex (tip), which falls perfectly to center of the base of pyramid. Now the distance from the bottom of that string to edge is 1/2×6.7 = 3.35. Use Pythagorean Theorem to determine the pyramid height:
[tex] {5.8}^{2} = {h}^{2} + {3.35}^{2} \\ {h}^{2} = {5.8}^{2} - {3.35}^{2} \\ h \: = \sqrt{({5.8}^{2} - {3.35}^{2})} \\ h = \sqrt{(33.64 - 11.22)} \\ h = \sqrt{22.42} = 4.73 \: cm[/tex]
Now we can solve our volume, so the base of pyra = l×w = 6.2×6.7 = 41.54
vol (tot) = (1/3×base×height) + (l×w×h)
vol = (1/3×41.54×4.73) + (6.7×6.2×5.5)
vol = (65.49) + (228.47) = 293.96
[tex]vol = 294 \: {cm}^{3} > > \: answer \: (c)[/tex]

Théo Has $5 more than Denise and denise has $11 more than Rudy. Together they have $45. How much money does each have?

Answers

let theo have x dollars, then denise has x-5 dollars, rudy has x-5-11 dollars

x+(x-5)+(x-5-11)=45
x+x-5+x-16=45
3x-21=45
3x=66
x=22
x-5=17
x-5-11=6

theo has 22 dollars, denise has 17 dollars, rudy has 6 dollars.

Given the expression,y = 2x^2/ x + 4, choose the correct vertical asymptote.

Answers

There is a vertical asymptote when the denominator x + 4 = 0 That is when x = -4
It is x = -4.

Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years. A. 6.5 years B. 7.2 years C. 12.5 years D. 10.2 years

Answers

Your monthly deposit of $0.00 for 6 years with an interest rate of 12.05% compounded Annually
with an initial starting balance of $1,000.00Balance after 6 years with annual interest of 12.05% $1,979.12
7 years- 2,217.60$
12 years- 3,916.90

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?

3 mph
4 mph
5 mph

Answers

With the current 40 miles per hour
Against the current 30 miles per hour
bv means boat velocity with NO current
cv means current velocity
A) bv + cv = 40 mph
B) bv - cv = 30 mph
Adding both equations:
2bv = 70
boat velocity with NO CURRENT = 35 miles per hour

Using equationA
bv + cv = 40
35 + cv = 40

current velocity = 5 miles per hour

Answer:

Speed of current = 5 mph

Step-by-step explanation:

Let u be the speed of boat and v be the speed of current.

A boat makes a 120-mile trip downstream in 3 hours.

120 = 3(u+v)

u + v = 40

It makes the return trip in 4 hours.

120 = 4(u-v)

u - v= 30

Adding both equations

u + v + u - v = 40+30

2u = 70

u = 35 mph

35 + v = 40

v = 5 mph

Speed of current = 5 mph

Find the combined volume of the two rectangular prisms.

A.1,800
B.1,926
C.2,016
D.2,176

Answers

V = L * W * H
[tex] V_{1} [/tex] = 15 * 12 * 10
[tex] V_{1} [/tex] = 1800
[tex] V_{2} [/tex] = 12 * 6 * 3
[tex] V_{2} [/tex] = 216
[tex] V_{1+2} [/tex] = 1800 + 216
[tex] V_{1+2} [/tex] = 2016

Hope that helps and you can remember the formula and steps for future use!

9 minutes less than Frances time as an expression

Answers

Let Frances time = F

9 minutes less than frances time = F - 9

F - 9 is your expression

hope this helps

Sharon needs 64 credits to graduate from her community college. So far she has earned 24 credits. What percent of the required credits does she have?

Answers

She has 37.5 % of her answers because 64/124 is 37.5

A percentage is a number or ratio expressed as a fraction [tex]100[/tex]. Hence, Sharon has [tex]12.5[/tex]% of the credits required.

What is the percentage?

A percentage is a number or ratio expressed as a fraction [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given information:-

Sharon needs [tex]64[/tex] credits and he earned [tex]24[/tex] credits.

So,

[tex](\frac{24}{64})[/tex]×[tex]100[/tex][tex]=\frac{1}{8}[/tex]×[tex]100[/tex]

[tex]=0.125[/tex]×[tex]100[/tex]

[tex]=12.5[/tex]%

Hence, Sharon has [tex]12.5[/tex]% of the credits required.

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A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Answers

multiply 5.5 cm by 11.5 km

5.5 * 11.5 = 63.25

rounded to nearest tenth = 63.3 km

14-3x=4x solve and explain

Answers

14 - 3x = 4x
Flip
4x = 14 - 3x
Add both sides by 3x
7x = 14
Divide both sides by 7
x = 2
Have an awesome day! :)

Find the equation of the line that is parallel to the given line and passes through the given point y= -x +5; (2,7)

Answers

y=3x + 13 ( you should use Quilt )

Help please!!! Q: A manufacturing company finds that 0.0019 of the light bulbs it makes are defective. Write this as a percent.

Answers

The answer is 0.19%.

(:

0.0019 as a percent is 0.19%

Other Questions

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