Which of the following represents the graph of the equation y = 1/2x?

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]

So, the option (B) is correct.

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

Answer: [tex]8d-7[/tex]

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]

Respuesta:

El cálculo no está bien hecho.

el cociente es 13

El resto es 29

Explicación paso a paso:

Dividendo = 445

Divisor = 32

Cociente = 14

Resto = 7

445/32 = 13,90625

El cociente = 13

Resto = (13.90625 - 13) * 32

Resto = 0.90625 * 32

Resto = 29

Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29

Answer:

Y = MX + b

y = -3/4 X + 5

Step-by-step explanation:

Answer:

40 tacos

Step-by-step explanation:

Step 1:  Determine how many tacos you can buy

Cost of one taco:  $0.50

Money in wallet:  $20

So for every $1 you can buy 2 tacos.  Therefore, 20 * 2 = 40 tacos

Answer:  40 tacos

Answer:40 tacos

Step-by-step explanation: because yeah

ooof 2 weeks ago, sorry mate, i want the points doe...

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= 26units✓

Answer:

26

Step-by-step explanation:

we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first

finding the area of the first & last rectangles:

the first and last rectangles are congruent therefore they will have the same area thus

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]

from the figure we obtain:

thus substitute:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]

finding the area of the middle rectangle:

the middle rectangle has a length and width of 3 and 2 respectively Thus

[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]

finding the area of the composite figure:

[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]

substitute what we got:

[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]

simplify addition:

[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]

hence,

the answer is 26 square units

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]

This is the answer.

Answer:

1 7/12 acres of land

Step-by-step explanation:

Tomatoes = 1/3 acre of land

Corn = 3/4 acre of land

Carrots = 1/2 acre of land

Total acres of land he planted = tomatoes + corn + carrots

= 1/3 + 3/4 + 1/2

= (4+9+6) / 12

= 19/12 acres

= 1 7/12 acres of land

Or

= 1.5833333333333 acres

Total acres of land he planted = 1 7/12 acres of land

None of the given options is correct

Answer:

A=656 trả lời cho tớ đi...

Answer:

( 10 m n^3) ^2

Step-by-step explanation:

100 m^2 n^6

Break into pieces

What number times itself gives 100

10*10 = 100

m*m = m^2

n*n*n*n*n*n = n^6  Breaking into two parts

n^3 * n^3 = n^6

( 10 m n^3) ^2

Answer:

[tex](10mn^3)^2[/tex]

Step-by-step explanation:

The square root of 100 is 10.

Divide the exponents of [tex]m^2 n^6[/tex] by 2.

You get: [tex]mn^3[/tex]

Put them together and add on the ^2

You get [tex](10mn^3)^2[/tex]

I hope this helps!

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

[tex]3+2=5[/tex]

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "a" in exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

In the above equation, parameter "a" is the initial value of the function

In other words, the value of the function when x = 0

Take for instance;

[tex]y = 2*4^x[/tex]

[tex]a = 2[/tex] because when [tex]x = 0[/tex]

[tex]y = 2 * 4^0[/tex]

[tex]y = 2 * 1[/tex]

[tex]y = 2[/tex]

Another significance of parameter a is that; it is the y-intercept of the geometric function.

Answer:

11.59 centimeters

Step-by-step explanation:

Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)

Plug in the surface area, length, and width. Then, solve for h:

A = 2(wl + hl + hw)

467 = 2((4)(12) + h(12) + h(4))

467 = 2(48 + 12h + 4h)

467 = 2(48 + 16h)

467 = 96 + 32h

371 = 32h

11.59 = h

So, the height of the prism is approximately 11.59 centimeters

Answer:Braylon is right

Step-by-step explanation:

it is reduced to x+5/2

Answer:

Braylon is correct, after dividing the numbers given I got _::x+5/2::_

and it cant be simplified more

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.

[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]

This fraction represents a percent.

[tex]\frac{75}{100}[/tex] = 75%

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

because they are both in the circle

Step-by-step explanation: