what is one third the product of 2 numbers a and b.

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore, the answer is :

[tex]\sf \frac{16}{21} [/tex]

Answer:

Step-by-step explanation:

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

Step-by-step explanation:

1 hour - $8.50

21.5 hours (one week) - $8.50 × 21.5 = $182.75

One week = $183

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]

[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]

Answer:

a trapezoid:ll and a dented triangle:l

Answer:

$11,480

Step-by-step explanation:

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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Answer:

Step-by-step explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.

First thing to do is to add up the numbers in the ratio:

= 1 + 2 + 0.5

= 3.5

The amount that Zach invested is:

= Zach's ration/ Sum of ratio x Amount invested

= 1 / 3.5 x 360,000

= $102,857.14

In conclusion, Zach invested $102,857.14.

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Answer:

101

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

Answer:

(x+1)(x+8)

Step-by-step explanation:

I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.

Answer:

Where is the questions picture so I know what I am about to answer

Step-by-step explanation:

I need a pic.

Answer:

1 11/12 cups of water

Answer:

Jeremy's team won more games

Step-by-step explanation:

Let's transform these fractions into ratios:

[tex]\frac{7}{10} =7:10\\\\\frac{2}{5} =7:10[/tex]

Then, simplify:

[tex]7:10[/tex] ≈ [tex]1:1.4[/tex]

[tex]2:5=1:2.5[/tex]

Finally, compare:

[tex]1:1.4\neq 1:2.5[/tex]

Result:

Jeremy's team won more games since [tex]1:2.5>1:1.4[/tex]

Note:

The way I simplify the ratios may be confusing so here is a quick explanation;

Make the smaller of the two numbers in the ratio into one then divide the larger number by the smaller number for the other part of the ratio

Example:

5:10

5 turns into 1

10 divided by 5 equals 2

Simplified Ratio: 1:2

Jeremy won more games than Howard.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Howard Team won = 7/10

Jeremy team won = 2/5

Now, taking LCM (5, 10)= 10

So, Jeremy team won = 2/5

                                     = 4/10

So, Jeremy won more games than Howard.

Learn more about fraction here:

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Answer:

58 2/3 fps

Step-by-step explanation:

To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.

40 * 5280 = 211200

211200 / 3600 = 58.6666..... [58 2/3]

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

Answer: 18

Step-by-step explanation:

The question is asked to know 30% of 60, we get

60 x 30% = 60 x 0.3 = 18

Answer:

18

Step-by-step explanation:

We know that 30% means 30/100

30/100 multiplied by 60

hence, the answer is 18

Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.

(i searched it and found this. If it helped, pls mark me brainliest! tysm)

The confidence interval can be calculated from the margin of error, and vice versa,

The margin of error of the confidence interval is 2.156

The confidence interval is given as:

[tex]\mathbf{CI = 3.2 \pm 1.96 \cdot 1.1}[/tex]

The formula of confidence interval is:

[tex]\mathbf{CI = \bar x\pm E}[/tex]

Where E represents the margin of error.

So, by comparison:

[tex]\mathbf{E = 1.96 \cdot 1.1}[/tex]

Multiply

[tex]\mathbf{E = 2.156}[/tex]

Hence, the margin of error of the confidence interval is 2.156

Read more about margin of errors at:

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Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.

Answer:

4(2x raise to power 2-4-7x)

Answer:

Here you go :)

Step-by-step explanation:

Answer: 1.8

Step-by-step explanation: Divide 9/5

The equation of slope is y2 - y1/x2 - x1

0 - 4/0 - 5

-4/5

Another method in image added.