The diagram shows the net of a square pyramid.

The height of the pyramid is 15 cm. Calculate the value of x..

Help me plsss​

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%.

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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.

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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:

.50

Step-by-step explanation:

32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.

Answer:

50

Step-by-step explanation:

so first do 32 divided by 64 then round it to the nearest 100.

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

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.

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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:

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:

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: The correct answer is B

Step-by-step explanation: (1/2,-sqrt3/2) just took quiz you’re welcome

By trigonometry functions, the coordinates of the terminal point are (1/2, -√3/2)

The given function is t = 11 pi / 3

Given: t = 11 pi / 3

By the definitions of trigonometry functions, the point P has as coordinates P(x, y).

x=cos(11π/3) and y=sin(11π/3)

Trig table and unit circle give

x= cos(11π/3)=cos(-π/3+4π)

=1/2

y=sin(11π/3)=sin(-π/3+4π)

=-sin(π/3)=-√3/2

P is in Quadrant IV, (1/2, -√3/2) be the coordinates of the terminal point at t = 11π/ 3.

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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

Step-by-step explanation:

that would form a triangle

using tan

TOA tan = opp/adj

tan38 degree = 20/x

tan 38 =0.7813

so 0.7813 = 20/x

=cross multiply

= 0.7813x =20

divide both sides by 0.7813

so 20/0.7813

= 25.5983

which is 3 to the nearest tenth

The height of the tree is 20.6 feet.

To solve problems of heights and distances, we use trigonometric ratios determining the given case by geometric shapes.

We are given the following information: John who is 5 ft. tall is standing at a distance of 20 ft. from a tree, and you measure the angle of elevation to be 38°. We are asked to find the height of the tree.

To solve the problem, we will use heights and distances.

First, we define a figure:

Let AD be John, such that AD = 5 ft.

Let BE be the tree with its height = h ft.

The distance between John and the tree is determined by DE = 20 ft.

We drop a perpendicular from point A to BE at point C.

Now, ADEC is a rectangle. Hence,

CE = AD = 5 ft.

AC = DE = 20 ft.

We join A and B, to complete the right-angled triangle ACB, with ∠ACB = 90°, ∠BAC = 38° (the given angle of elevation).

In ΔACB,

AC = 20 ft. (already derived)

BC = BE - CE = h-5 ft. (∵ BE = height of the tree h, CE = 5, already derived)

Now, in ΔACB,

tan 38° = BC/AC = (h-5)/20

or, h-5 = 20*tan38° = 20*0.781286 = 15.6257

or, h = 15.6 + 5 = 20.6257.

∴ h = 20.6 (correct to the nearest tenth)

So, the height of the tree is 20.6 feet.

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Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Answer:

3

Step-by-step explanation:

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:

Radius (for the top box)

Diameter (for the bottom box)

Step-by-step explanation:

The radius is a line segment touching the center of the circle to its perimeter.

The diameter is the longest line segment touching two points on the perimeter of the circle and one point on its center.

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:

I think this is the distributive property.

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:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

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:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

4/-(1/3) = -(1/3)x/-(1/3)

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

Answer:

[tex]\dfrac{dV}{dt} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}V^{\dfrac{2}{3}}[/tex]

k = 3.022

Step-by-step explanation:

Given that:

A spherical raindrop evaporates at a rate proportional to its surface area.

The surface area SA of a spherical object is given by the relation:

SA = 4πr²

Write down a differ- ential equation for its volume as a function as a function of time.

So; to differentiate Volume (V) in respect to time (t) ;then:

[tex]\dfrac{dV}{dt} =-k( 4 \pi r^2)[/tex]

Likewise; we know known that the volume of a sphere V = [tex]\dfrac{4}{3} \pi r^3[/tex]

Thus, from above;

[tex]3V = 4 \pi r^3[/tex]

[tex]\dfrac{3V}{4 \pi} = r^3[/tex]

[tex]r^3 = (\dfrac{3}{4 \pi })^{\dfrac{2}{3}}V^{\dfrac{2}{3}}[/tex]

[tex]r^2 = 4 \pi( \dfrac{3}{4 \pi})\dfrac{2}{3}V\dfrac{2}{3}[/tex]

Thus; solving the differential:

[tex]\dfrac{dV}{dt} =-k( 4 \pi * 4 \pi( \dfrac{3}{4 \pi})\dfrac{2}{3}V\dfrac{2}{3})[/tex]

[tex]\dfrac{dV}{dt} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}V^{\dfrac{2}{3}}[/tex]

So;

we are to find the constant proportionality K

If Volume V = 1 cm³ and the time = 10 sec

[tex]\dfrac{1}{10} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}(1)^{\dfrac{2}{3}}[/tex]

0.1 =  - 4π k (0.3848 × 1)

0.1 =  - 4π k × 0.3848

4π k = 0.3848/0.1

4π k  = 3.848

k = 3.848/4π

k = 3.022

Answer:

Step-by-step explanation:

The graph of this function begins in Quadrant IV and rises rapidly, then continues rising in Quadrant I at a slower pace.  The range is (-infinity, infinity).

The range of the value is given as all sets of real numbers.

We have been given the function f(x)= log2(x-6)

Given that it is a logarithmic function, there would be no definition for any negative numbers.

We have 2(x-6)>0

x-6>0

x is greater than 6

The Domain of f(x) is then given as any real number

The Range of the function is all of the possible values of f(x) after it has been substituted into the given function

i.e. Range of f(x) is therefore the set of all real numbers.

Complete question

What is the range of y=log2(x-6)?

A. all real numbers not equal to 0

B. all real numbers less than 6

C. all real number greater than 6

D. all real numbers

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Answer:

Step-by-step explanation:

Original price,

Fare for 12 passengers = Rs 540

Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]

Increased price,

Fare for 1 passenger = 45 + 5 = Rs 50

Let fare for X passengers be 750

[tex]x \times 50 = 750[/tex]

[tex]x = \frac{750}{50} [/tex]

[tex]x = 15[/tex]

Hence, 15 passengers can travel for Rs 750.

Hope this helps...

Good luck on your assignment..

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:

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

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▹ 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!

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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:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

[tex]f(x) =-x^{2} +28x-192[/tex]

Vertex

x= [tex]-\frac{b}{2a}[/tex]

x= [tex]-\frac{28}{2(-1)} =14[/tex]

y= [tex]-14^{2}+28(14)-192 =4[/tex]

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

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