1) -64÷16+[12x{6÷(16÷10-2)}] ​

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

Step-by-step explanation:

the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.

actually, this proof is the same (and is also valid) for non-isoceles triangles.

Answer:

-$33

Step-by-step explanation:

KAREN now ows money to the bank

Answer:

n-1, n, n+1

Step-by-step explanation:

n - 1    +   n    +   n +1  = 3n

The middle number is n, the first is n-1 and the third is n+1

Based on the information given, the three consecutive numbers will be n-1, n, and n+1.

It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.

In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:

= n - 1 + n + n + 1

= 3n

Learn more about numbers on:

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Answer:

30 minutes

Step-by-step explanation:

Answer:

25% or 1 in 4 chance.

Step-by-step explanation:

The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.

3/6 can be re-written as 1/2.

The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.

So then, multiply 1/2 by 1/2 to get 1/4.

Answer:

13640cubicmeter........

The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.

Reasons:

The given parameters are;

The sine value of the given angle = One-half

Required: To select the true statement of the location of the terminal side.

Solution:

Given that sin(θ) = 0.5, we have;

The sine of an angle is positive in Quadrant I and Quadrant II

The reference angle, is the angle formed between the angle's terminal side and x-axis

By trigonometric ratios, considering the reference angle, we have;

θ = arcsin(0.5) = 30°

Therefore;

The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.

Learn more about trigonometric ratios here:

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Answer:

a

Step-by-step explanation:

edge

Answer: they would earn $560

Step-by-step explanation:

10% = 400

1% = 40

0.1% = 4

40+16 = 56*10=560

If you could be so kind to press brainliest on this answer

Answer: B

Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.  

The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.

HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.

Now, let's insert our values into the equation y = mx + b. That would be:

y = -2x + 3 which is B and therefore our answer

Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

[tex]2x-4=6-3x[/tex]

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

[tex]2x + 3x = -3x + 3x + 10[/tex]

And then I'll add like terms:

[tex]5x=10[/tex]

Now, all we have to do is divide both sides by 5:

[tex]5x/5=10/5\\x=2[/tex]

And there's our answer. Hopefully that's helpful! :)

Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

2(3 + x) = 18 / : 2

3 + x = 9

x = 9 - 3

x = 6

Answer:

x = 6

Step-by-step explanation:

2(3 + x) = 18 ( divide both sides by 2 )

3 + x = 9 ( subtract 3 from both sides )

x = 6

Answer:

All real numbers.

Step-by-step explanation:

The domain is the range of values of x.

The graph goes on without bounds to - infinity and positive infinity.

Answer:

p = - 10

Step-by-step explanation:

I hope this helps. Good luck

Using the z-distribution, it is found that the value of the test statistic is z = 10.33.

At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:

[tex]H_0: p = 0.75[/tex]

At the alternative hypothesis, it is tested if the proportion is different, that is:

[tex]H_1: p \neq 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]

[tex]z = 10.33[/tex]

A similar problem is given at https://brainly.com/question/24330815

Answer:

Simple Interest = $542

Compound Interest = $542.88

Step-by-step explanation:

Answer:

Not a because it is only consistant with x not y because it goes 1 2 4 then 6

not b because only consistant with x not y because it goes 1 2 2 2

It is c because it goes 2 4 6 and 8 which is a consistent rate of two.

Step-by-step explanation:

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

Answer:

y = 12x

Step-by-step explanation:

Note the relationship

x = 3 : y = 36 , that is 36 = 12 × 3

x = 4 : y = 48, that is 48 = 12 × 4

x = 5 : y = 60 , that is 60 = 12 × 5

x = 6 : y = 72 , that is 72 = 12 × 6

The value of y is obtained by multiplying corresponding x value by 12

Then

x = 7 → y = 12 × 7 = 84

in general for any x

y = 12x

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

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#SPJ2

Answer:

decreased

Step-by-step explanation:

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

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110<2x+10

Step 1: Flip the equation.

2x+10>110

Step 2: Subtract 10 from both sides.

2x+10−10>110−10

2x>100

Step 3: Divide both sides by 2.  

x>50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sides r, 10 and 20 are parallel to each other as all three are perpendicular  to same line.

The triangles are similar as two sides are on same lines and another one is parallel as described above.

Work out the value of r using ratios of corresponding sides:

Now, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:

Answer:

[-5, 5]

Step-by-step explanation: