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30/7

Step-by-step explanation:

1.5kg : 350g

1kg = 1000g

So, 1.5kg = 1500g

1500g : 350g

1500/350 = 30/7

The answer is 30/7.

The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

The expression is given as:

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]

Expand the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]

Apply the law of indices

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]

Take the inverse of the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]

Apply the square exponent to the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]

Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

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Answer:A edge 2023

Step-by-step explanation:

Just did it and got it right

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

Answer:

Step-by-step explanation:

let S₁ be the set of factors of 45 that are less or equal to 6:

S₁ : {1 , 3 , 5}

let S₂ be the set of the even numbers that are less or equal to 6:

S₂ : {2 , 4 , 6}

S₁ ∪ S₂ = {1 ,2 , 3 , 4 , 5 , 6}

⇒ card(S₁ ∪ S₂) = 6

Then

p(even or factor of 45) = p(S₁ ∪ S₂) = 6/6 = 1

Therefore

p(even or factor of 45) = 100%

Veremos que de los 20 intentos, Mariana metio 16 canastas.

Sabemos que ella tiro 20 veces, y sabemos que ella ha errado 1/5 de los tiros.

Entonces los otros 4/5 tiros entraron. Para obtener el numero de canastas que ha metido, debemos multiplicar la fracción por la cantidad total de tiros al aro:

C = 20*(4/5) = 16

Así, podemos concluir que Mariana ha metido 16 canastas.

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The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,

[tex]A=15\times8\\A=120\rm\; cm^2[/tex]

All three parts has equal area. Thus, the area of parallelogram NCMA is,

[tex]A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2[/tex]

MN is the height of the parallelogram. Thus,

[tex]A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}[/tex]

Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

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angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

2.

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

Answer:

obtuse

Step-by-step explanation:

A triangle with sides of 3,4and6 is NOT a Right triangle.

The ranges values of the function f(x) are: {-89,-9,7} - Option D.

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Here, you need to replace the domain values in the given equation.

f(x)=-2x²+9

       f(x)=-2*(-3)²+9

        f(x)=-2*9+9

       f(x)=-18+9=-9

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Answer:

x = 60

Step-by-step explanation:

the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

The sum of the arcs in a circle = 360° , then

intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°

then

x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60

Answer:

1% and 49%

Step-by-step explanation:

0% is impossible

1%-49% is unlikely

50% is as likely as not

51%-99% is likely

100% is certain

hope this helps!

Answer:

19.

Step-by-step explanation:

Let the number you think of be x, then:

x - 5 = 14.

x - 5 + 5 = 14 + 5

x = 19.

Answer:

[tex]volume \: = 1130.4 {m}^{3} [/tex]

Step-by-step explanation:

The formula to find the volume of a cylinder is:

[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]

Note that the radius is half the diameter (12), therefore the radius is 6*

According to the diagram we know that:

[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]

Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

The number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

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

Where V is the volume

r is the radius

and h is the height

From the given information,

radius, r = 2.5 cm

slant height, l = 6.5 cm

First, we will determine the height of the cone

By Pythagoras' theorem

[tex]l^{2} = r^{2} + h^{2}[/tex]

Where [tex]l[/tex] is the slant height

r is the radius

and h is the height of the cone

Then, we can write that

[tex]6.5^{2} = 2.5^{2} + h^{2}[/tex]

[tex]42.25 = 6.25 + h^{2}[/tex]

[tex]h^{2}=42.25 - 6.25[/tex]

[tex]h^{2} =36[/tex]

[tex]h = \sqrt{36}[/tex]

∴ h = 6 cm

Now, putting the parameters into the equation for the determining the volume of a cone, we get

[tex]V = \frac{1}{3}\times \pi \times 2.5^{2} \times 6[/tex]

[tex]V = \pi \times 6.25\times 2[/tex]

[tex]V = 12.5 \pi[/tex] cm³ OR 39.27 cm³

Hence, the number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³

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Answer:

^2D its because the shed has only two faces

Answer:

1. See attached

2. largest value = 3 ³/₄ in

3. smallest value = 1 ¹/₂ in

4. It snowed 3 ¹/₄ inches for 3 days

5. To find the two values, add 3 to the smallest value:

⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in

Or subtract 3 from the largest value:

⇒ 3 ³/₄ - 3 = ³/₄ in

Answer:

y = 48°

Step-by-step explanation:

angle A = 90°

interior angles of a triangle = 180°

therefore

y = 180 - 42 - 90

y = 48°

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

[tex] \large \pmb{➪ \: } \rm \pink{ \angle \: OAB+\angle \:ABO+\angle \:BOA = 180 \degree}[/tex]

[tex] \pmb{➪ \: 90 + y +42 = 180 } \\ \pmb{➪ \:132 + y = 180 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 180 - 132 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 48 \degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Hence the size of angle is

[tex] \large \boxed{✥\underline{ \boxed{ \sf{y = 48 \degree \: \pmb{\green{✓}} }}}✥}[/tex]

▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂

Hope it helps !

Answer:

5x+2y=8

2x+2y=2

subtract both eq.

3x-0y=6

3x=6

x=2

x+y=1

2+y=1

y= -1

Answer:

A) 160 B) 220

Step-by-step explanation:

Combine like terms.

3x + 50 = 530.

Subtract 50 from both sides.

3x = 480.

Divide both sides by 3.

x = 160.

Since Ryan earns x + 60, add 60.

160 + 60 = 220.

Answer:

the surface area of the regular pyramid is 169.19

The value of x that yields a slope of 56 is 6.09

The given parameters are:

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

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Answer:

6

Step-by-step explanation:

Answer:

= 20.7345115137

or

≈ 21

Step-by-step explanation:

Circumference = 2 x π x radius

Circumference = 2 x π x 3.3

hope this helps

have a good day

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

17 games

Step-by-step explanation:

There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

y = f(x) (-6, 11)

⬇️ ⬇️

y - h(x) (6, 7)

so h(x) = f(x - 12) - 4

Hope this helps and have a nice day

Answer:

6 days

Step-by-step explanation:

Relation :

6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.

Solving :

The actual weight of the mobile in grams is 194 grams.

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.

When a mobile phone is put on the scale, the real weight will be  'x'

but it shows,

x+a= 202

When an headphone is put on the scale, the real weight will be  'y'

but it shows,

y+a=221

When the mobile phone and the headphone are put on the scale together, the weight is

x+y+a= 415

So,

x+221=415   [Since y+a= 221 grams]

x= 194 grams

The actual weight of the mobile phone in grams is 194 grams.

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