6. Using the distributive property, find the following products 1002 x 1518​

Answer:

36.5 mm²

Step-by-step explanation:

7.3 * 5 = 35 + 1.5 = 36.5 mm²

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slide right 2 and down 3

OPTION B is the correct answer.

Answer:

23

Step-by-step explanation:

The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.

Hope this helps! :)

Answer:

the index of 2 is -1

Step-by-step explanation:

[tex]2^{-1}[/tex]

=[tex]\frac{1}{2^1}[/tex]

=[tex]\frac{1}{2}[/tex]

Answer:

True

Step-by-step explanation:

We are given that system of equation

x<3

y>3

We have to find that there is no solution of system of equation is true or not.

First we change inequality equation into equality equation

x=3

y=3

When x=0

0<3

It is true equation therefore, the shaded region towards the origin.

When y=0

0>3

It is false equation. Therefore, the shaded region above the origin.

From the graph

There is  no solution of system of equation.

Hence, option true is correct.

Answer:

A

Step-by-step explanation:

The data set is;

2,4,6,8,10,12

For a box plot, we need five information regarding a data set;

These are;

1. The minimum value

The minimum value here is 2, so the box plot starts from here

2. The lower quartile

This is the term according to the formula;

(n + 1)/4

Where n is the number of data points which is 6

So we have;

(6 + 1)/4 = 7/4 = 1.75

Approximately this is the second term which is 4

3. The median

This is the middle number

We only need to add the third and fourth term, then divide by 2

we have this as; (6 + 8)/2 = 14/2 = 7

4. The upper quartile

It is the term according to the formula;

3(n+ 1)/4 = 3 * 1.75 = 5th term approximately

So we have it as 10

5. The maximum value

The max value here is 12

So the points on the box plot are;

2,4,7,10 and 12

So the correct plot is the first one

Answer:

he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.

Answer:

Option D is correct.

Step-by-step explanation:

Given, the side of a cube is 7 cm.

Total surface area of cube side = [tex]6 {s}^{2} [/tex]

[tex] = 6 \times 7 \times 7[/tex]

[tex] = 294[/tex]

∴ the total surface area of cube is [tex]294 {cm}^{2} [/tex]

Answer:

145 degrees

Explanation:

A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.

Answer:

The measure of the unknown angle (n) is 145

Step-by-step explanation:

A straight line or angle is 180 degrees so if we subtract the 35 degrees from that we get 145 degrees.

I tried to explain the simplest I could so I hope you understand it.

Hope I helped!!!

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

Answer:

4

Step-by-step explanation:

36/9

= 4

hope you understand.....

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.

Answer:

yes get those raisins taylor

Step-by-step explanation:

woo! go taylor

Answer:

Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.

Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.

Step-by-step explanation:

1. Add up the grocery store hours and the nursery hours together.

10+6=16

g+n=g+n

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Answer:

The depth is 5.33cm

Step-by-step explanation:

Given

[tex]D =20cm[/tex] --- diameter at open end

[tex]d = 12cm[/tex] --- diameter at bottom

[tex]H=16cm[/tex] -- depth

[tex]d_c = 28cm[/tex] --- diameter of the cylinder

Required

The depth the bucket will fill the cylinder

First, calculate the radii at the ends of the bucket

[tex]R=D/2 =20cm/2 = 10cm[/tex]

[tex]r=d/2 =12cm/2 = 6cm[/tex]

The volume of the bucket (frustum) is:

[tex]V = \frac{1}{3} \pi H(R^2 + Rr + r^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * 196[/tex]

[tex]V = 1045.33\pi cm^3[/tex]

The volume of a cylinder is:

[tex]V = \pi r_c^2h_c[/tex]

Where:

[tex]r_c = d_c/2 = 28cm/2 =14cm[/tex]

So, we have:

[tex]1045.33\pi = \pi * 14^2 * h_c[/tex]

[tex]1045.33\pi = \pi * 196 * h_c[/tex]

[tex]1045.33\pi = 196\pi * h_c[/tex]

Make h the subject

[tex]h_c = \frac{1045.33\pi}{ 196\pi}[/tex]

[tex]h_c = \frac{1045.33}{ 196}[/tex]

[tex]h_c = 5.33[/tex]

Answer:

Option C.

Step-by-step explanation:

We know that, for a value a > 1.

if b > c, then:

a^b > a^c

Now, this means that if we have two functions:

f(x) = x^n

g(x) = x^m

and m > n

then for large values of x, g(x) will be larger than f(x), because g(x) has a larger exponent.

now, is also true that:

f(x) = x^n

g(x) = n^x

for n > 1

For large values of x, g(x) will be larger than f(x), again, because for larger values of x g(x) will have a really large exponent, thus it grows really fast.

Then we can conclude that for the functions:

f(x) = 3*x

g(x) = 3*x^2

h(x) = 2^x

For a given value of x, h(x) will exceed the other two functions.

This can be seen in the graph below, where:

h(x) is purple, g(x) is blue, and f(x) is green.

We can see that eventually, h(x) exceeds the other two.

The correct option is C.

Answer:

683.90

Step-by-step explanation:

562.55

+121.35

683.90

Answer:

840

Step-by-step explanation:

600×140% =840 hope this helps

Answer:

x = 8.7

Step-by-step explanation:

Use the formula

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +11^{2} =14^{2} \\\\x = 8.660[/tex]

Answer: -6. 4. -3,75. 37.

Step-by-step explanation: -20|+10-2²= -6, since a minus×minus give you a + therefore -2²=4.

2³+(-8)= 12-8=4, a minus×plus gives you a minus.

-2,50+(-1,25)=-2,50-1,25=-3,75. |-10|+|20|-5²-(-2)=-10+20+25+2=37.

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

Answer:

C

Step-by-step explanation:

In quadrilateral PQRS, ∠P and ∠S are opposite angles is false statement. Option c is correct.

False statement to be determine.

Quadrilateral is geometric shape encloses by 4 lines.

For A. The diagonals of a rhombus are perpendicular and bisect each other. This statement is true.
B. A quadrilateral is a polygon with four angles. Its also true.

C. In quadrilateral PQRS, ∠P and ∠S are opposite angles. Its false because ∠P is opposite to ∠R.

D. A rhombus is a quadrilateral. It is also true

Thus, In quadrilateral PQRS, ∠P and ∠S are opposite angles is false statement.

Learn more about quadrilateral here:
https://brainly.com/question/13805601

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