Decide whether the statement is true or false.
{2, 15, 6} U Ø = {2. 15, 6)​

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

Answer:

The bowl can hold 2.094 L.

Step-by-step explanation:

We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:

V = (2/3)•(π)•(r)³

Let's plug in what we know.

V = (2/3)(π)(10)³

Evaluate the exponent.

V = (2/3)(π)(1000)

Multiply.

V = 666.667π

V = 2094.395 cm³

Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.

= 2094.395/1000

= 2.094 L

The bowl can hold 2.094 L.

Hope this helps!

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Answer:

4 x 10

Step-by-step explanation:

4 x 2 x 5

4 x 2 = 8

8 x 5 = 40

4 x 10 = 40

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

The volume of the cylinder in question is 427.26 inches.

The volume of the cylinder is 427.04 inches 2.

soup pot is 8.5 inches tall

radius of 4 inches.

Volume, is defined as the ratio of the mass of object to its density.

Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2

Thus, the required volume is 427.04 inches 2

Learn more about Volume here:
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Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

Answer:

Answer should be 6, I think

Answer:

the answer is 2400 cents

Step-by-step explanation:

if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent

                   ?        = 2400 cent

you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?  

so your going to get this

2400 = 100?

so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100

so it will look something like this

2400/100 = ?

when u divide 2400 with 100 u get 24.

what does that mean? it mean 2400 cents are 24 dollars

do you get it?

Answer:

ANSWER

step explanation:

The vertex of the parabola below is at the point (2,4), and the point (3,6) is on the parabola. What is the equation of the parabola? 10 (3,6) (2,4) TO 10 10 A. y= 2(x - 2)2 + 4 B. x = 4(y - 3)2 + 1 C. y= 6(x - 2)2 + 4 D. y = 3(x - 4)2 + 2

Answer:

-2.03, 2.03

Step-by-step explanation:

The degree of freedom (df) ;

Df total for the two samples = 35

Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.

(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025

Using a T critical value calculator or t table distribution ;

Tcritical, 0.025, df = 35 = 2.03

Left tail = - 2.03

Right = 2.03

Hence, critical cutoff :

(-2.03 ; 2.03)

Answer:

x = 3

Step-by-step explanation:

3*3*3 = 9*3 = 27

Step-by-step explanation:      

Let's solve your equation step-by-step.

[tex]x^3 =27[/tex]

Step 1: Take cube root.

[tex]x = (27)^(1/3)[/tex]

[tex]x=3[/tex]

Explanation in words (Short Form)

- Move the variable to the left and the other values to the right to determine the value of x. To ascertain the outcome, simplify the values.

- In this equation (x^3=27), we can solve this equation by taking the cube root and then ascertaining the outcome.  The answer will result as x = 3 at the end for the following equation: x^3=27 to finding the value for x.

Answer:  

[tex]x=3[/tex]

Hope this helps.

Answer:

C) [tex]\sqrt{90}[/tex]

Step-by-step explanation:

VY = base and leg

XY = height and leg

VX = hypotenuse (c)

VY:

9 - 6 = 3

Solving for VX(c):

a² + b² = c²

3² + 9² = c²

9 + 81 = c²

c² = 90

c = [tex]\sqrt{90}[/tex]

Answer:The answer would be C 90

Step-by-step explanation:

Answer:

:::::::::

C. 6:7 = 18:21

answer: it is C

Step-by-step explanation:

6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.

hope it helps :)

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

To know more about sigma notation here:

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Answer:

Step-by-step explanation:

oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.

Hope this helps!

Answer:

146°

Step-by-step explanation:

1) 180-51-95 = 34 All the angles in a triangle add up to 180.

2) A straight line is 180, so x = 180 - the interior angle.

3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2

4) x = 180-34 = 146

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

Answer:

hiiio......

Step-by-step explanation:

b)8 boxes...

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Answer:

The correct answer is "9.3%".

Step-by-step explanation:

The given values are:

Amount of interest,

= $590

Principle,

= $8,000

Time:

= 285

Let the interest rate will be "x".

Now,

⇒  [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]

On substituting the values, we get

⇒                             [tex]590=8000\times x\times \frac{285}{360}[/tex]

⇒                             [tex]590=6333.33\times x[/tex]

⇒                                [tex]x=\frac{590}{6333.33}[/tex]

⇒                                   [tex]=9.3157 \ percent[/tex]

or,

⇒                                   [tex]=9.3[/tex]%

Answer:

4.8

Step-by-step explanation:

Since the scale is 2 feet and the real is 70 to find the cale factor you do 70/2. Since the answer to that is 35 the scale factor is 35. SO to find tha drawing scale factor in feet you do 168/35 to get 4.8,

Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1