If x = 2 and y = 14 , evaluate the following expression: x y Give your answer as a fraction in its simplest form.

Answer:

B

Step-by-step explanation:

Put x as 1 and the output will be 9.

y = (3x)²

y = (3(1))²

y = 3²

y = 9

True

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

3

Step-by-step explanation:

Answer:

The equation of the hyperbola can be presented as follows;

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

Step-by-step explanation:

We have the equation of an hyperbola given as follows;

[tex]\dfrac{\left (x - h \right )^{2}}{a^{2}} - \dfrac{\left (y - k \right )^{2}}{b^{2}} = 1[/tex]

The foal length = a² + b² = c²

c = focal length

The directrix = a²/c

The focal point are (h + c, k) and (h - c, k)

Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;

k = 0 and h + c = 6, h - c = -6

Therefore;

6 - c - c = -6

-2·c = -12

c = 6

h = 0

a²/c = 2

a² = 2 × 6 = 12

a = 2·√3

12 + b² = 6²

b² = 6² - 12 = 24

b² = 24

b = 2·√6

The equation of the hyper bola can then be written as follows;

[tex]\dfrac{\left (x - 0 \right )^{2}}{12} - \dfrac{\left (y - 0 \right )^{2}}{24} = 1[/tex]

Which gives

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

x² - y² = 12

y² = x² - 12.

Answer:

A. 4.50 B. 1 : 3

Step-by-step explanation:

A.

First, think of Toby's money as 1/6x (x referring to the total amount of money) and Daoud's money as 1/2x.

It states that Toby gets 1.50, which means that 1/6x = 1.50.

To find what x is, multiply both sides by 6.

1/6x * 6 = 1.50 * 6

x = 9

Now that we know how much money there is in total, we can solve for Daoud's money. Daoud has 1/2x. We can substitute x for 9 and solve for Daoud's money.

1/2(9)

4.50

Daoud has 4.50.

B.

The problem states that Elsa gets the remaining money.

9 - (1.50 + 4.50)

9 - 6

3

Elsa gets 3.00.

Now, you can use turn solve the ratio of Toby's money and Elsa's money.

1.5 : 3

The problem states that they have to be whole numbers, so you can change the ratio to fit the requirements.

1 : 3

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

Answer:

4/3*PI

OR  4.186 (6 REPEATING0

OR 1.3(3 REPEATING )*PI

Step-by-step explanation:

BECAUSE

THE FORMULA IS 4/3*PI*R^3=V

4/3*3.14*1=V

4/3*PI=V

OR  4.186 (6 REPEATING

OR 1.3(3 REPEATING )*PI

HOPE I HELPED

BRAINLIEST PLS

    -ZYLYNN JADE

Answer:

4.19 in³

Step-by-step explanation:

The volume of a sphere is given by the formula:

so the volume is:

V = [tex]\frac{4}{3}[/tex]*3.14*1³

V= 4.1866 ≈ 4.19 in³

Answer:

The answer is option A.

Step-by-step explanation:

To find the number of girls in the class we must first find the total parts

That's

2 + 7 = 9

In the ratio 7 correspond to girls so the number of girls in the class are

7/9 × 45

= 7 × 5

= 35

Hope this helps you

Answer:

a. 6.75 ft

b. Exponent on w is w^4

Step-by-step explanation:

a. The best thing here is to work with decimals

each piece was 3/4 foot tall which means each piece is 0.75 ft tall

Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft

b. Firstly let’s evaluate the denominator

That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9

So let’s now divide this by the numerator

Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

r = 64

Step-by-step explanation:

The number of years for the investment plan = 65-23= 32 years

Initial amount= $30000

Final amount= $160000

To find the rate of return

We will use the compound interest formula.

The number of times it was compounded= number of years because it was not compounded monthly.

A= p(1+r/n)^(nt)

160000= 30000(1+r/32)^(32*32)

160000/30000= (1+r/32)^(32*32)

5.333= (1+r/32)^(1024)

1024√5.333= (1+r/32)

1.001636073 = 1 +r/32

2.01636073= r/32

32(1.01636073)= r

64.05= r

Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer: 19 degrees

Step-by-step explanation:

<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees.  Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees.  Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.

Hope it helps <3

Answer:

19 degrees

Step-by-step explanation:

Answer:

a)Claims: P>0.5("MOST" of the adult erase their personal information)

b)Statistics test= 4.746

Step-by-step explanation:

we were given {p}=60% =0.60

where n= 563

since most of adults erase all their personal information online, then (p> 0.5

p=0.5

q=1-p=1-0.5=0.5

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The value of the statistic test is 4.746 and this can be determined by using the given data.

Given :

A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.

It is given that [tex]\rm \bar{P}[/tex] = 60% = 0.60 and n = 563.

Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:

q = 1 - P = 1 - 0.5 = 0.5

Now, to determine the value of the statistic test, the following formula can be used:

[tex]\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746[/tex]

Therefore, the value of the statistic test is 4.746.

For more information, refer to the link given below:

https://brainly.com/question/23091366

Answer:

A.) Area of Big triangle - Square

Step-by-step explanation:

The triangle would have been all white if the square were not shaded.  So the square must be subtracted from the area of the triangle.  See diagram below.

Answer: 100%

Step-by-step explanation:

Given the following :

Price of antique car in 2020 is 200% of its original price in 1980.

By what percentage did the price increase over this 40-year period?

Let the original price = x

x = price of car in 1980

Price of car in 2020 = 200% of x = 2x

Percentage increase in price is given by:

(increase / original price) × 100%

Increase = (price in 2020 - price in 1980)

[(Price in 2020 - price in 1980) / original price] * 100%

[(2x - x) / x] * 100%

[(2x - x) / x] * 100%

(x /x) * 100%

= 1 × 100%

= 100%

100x%

The percentage that the price increase over this 40-year period is 100%.

Using this formula

Percentage increase=(Current price-Original price)÷Original price × 100%

Let plug in the formula

Percentage increase= (200% of x1-1)/1×100

Percentage increase= 1 × 100%

Percentage increase= 100%

Inconclusion the percentage that the price increase over this 40-year period is 100%.

Learn more about percentage increase here:https://brainly.com/question/11360390

Respuesta:

71.41 kilogramos

Explicación paso a paso:

En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:

Peso total = peso del arroz + peso de la papa + peso del frijol

Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:

Peso total = 20 + 12.25 + 39.16

Peso total = 71.41

Lo que quiere decir que el peso de los artículos vendidos es de 71.41  kilogramos

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. [tex] \frac{x}{2} + 6x [/tex]

if x = -12

[tex] \frac{(-12)}{2} + 6(-12) [/tex]

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. [tex] -10x + \frac{4}{x} [/tex]

If x = -2

[tex] -10(-2) + \frac{4}{-2} [/tex]

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]

if x = 8.

[tex] \frac{5}{2}(8 - 6) + 4 [/tex]

[tex] \frac{5}{2}(2) + 4 [/tex]

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

Answer:

74.22

Step-by-step explanation:

a pencil cup is like a cylinder

A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013

hope this helps

correct me if this is wrong

Answer:

[tex]\huge\boxed{\dfrac{z^6x^7}{z^5x}=zx^6}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{z^6x^7}{z^5x}=\dfrac{z^6x^7}{z^5x^1}=z^{6-5}x^{7-1}=z^1x^6=zx^6[/tex]

Answer:

[tex]zx^6[/tex]   is the simplified answer.

Step-by-step explanation:

[tex]\frac{z^6x^7}{z^5x}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\=\frac{x^7z^{6-5}}{x}\\\\=\frac{zx^7}{x}\\\\\mathrm{Cancel\:the\:common\:factor:}\:x\\\\=zx^6[/tex]

Best Regards!

━━━━━━━☆☆━━━━━━━

▹ Answer

-27

▹ Step-by-Step Explanation

9 × -3 = -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + = -27

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

-27

Step-by-step explanation:

First mutiply 9 x -3

[tex]9 * -3=-27[/tex]

Since there is a negative the answer would be negative

[tex]Negative * Postive=Negative[/tex]

Therefore, the answer is -27

Hope this helps! :)

Answer by

Fishylikeswater

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

The length of PG using the centroid property is 6 unit.

The centroid divides each median into segments in a 2:1 ratio.

This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

Given:

JG = 18

As, the centroid divides each median into segments in a 2:1 ratio then

PG:PJ = 1:2

So, the length of PG

= 1/3 * (18)

= 18/3

= 6 unit

Thus, the length of PG  is 6 unit.

Learn more about Centroid of Triangle here:

https://brainly.com/question/4421837

#SPJ4

Answer:

option d is correct answer.

hope it helps..

D. 8.8 cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

[tex]V=\frac{1}{3}\pi r^2h[/tex]

We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.

[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]

I prefer to do the 1/3 last, but it is entirely up to you!

Now solve...

[tex]V=\frac{1}{3}*26.4074[/tex]

Divide by 3.

V =

8.8 cm^3

Answer:

The correct answer is B

Answer:

0 < x < 25

Step-by-step explanation:

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer:

68.26

Step-by-step explanation:

The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26

Answer:

68%.

Step-by-step explanation:

The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.

According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.

Hope this helps!