Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 × 1013) how can buster tell without fully performing the calculations? buster knows the answer is more than 1, because he can add the exponents to see that the solution will have an exponent of 21. buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5. buster knows the answer is more than 1, because 9.763 ÷ 1.56 is more than 1. buster cannot answer the question without a calculator.

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

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Answer:

60%

Step-by-step explanation:

(4-2.5):2.5*100 =

(4:2.5-1)*100 =

160-100 = 60

Answer:

A

Step-by-step explanation:

A)(m+8)(2 ÷3)

Because 2/3 is just 2 divided by 3

Brainliest please?

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

Answer:

Yes, because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

Answer:

do you have a picture so I can see more information

Answer:

x=1.082682

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 37.5

Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5

Answer:

Step-by-step explanation:

In the question we are given with ,

And we are asked to find the perimeter of rectangle . As we know that ,

[tex] \red {\boxed{\rm{Perimeter \: of \: rectangle = 2 ( L + W ) }}}[/tex]

Where ,

Substituting values of length and width in formula :

[tex] \longmapsto \: 2(28 + 9)[/tex]

Step 1 : Solving the parenthesis :

[tex] \longmapsto \: 2(37)[/tex]

Step 2 : Multiplying 2 and 37 :

[tex] \longmapsto \: \red{ \boxed{74 \: cm}}[/tex]

Answer:

see below

Step-by-step explanation:

7x-12=30

7x=30-+12

x=42/7

x=6

5x-18=77

5x=77+18

x=95/5

x=19

8x+12=36

8x=36-12

x=24/8

x=3

x+45=72

x=72-45

x=27

x+27=82

x=82-27

x=55

x-13=66

x=66+13

x=79

Answer:

where is the prism? did u attach a photo of it

The value of the constant of variation is one-fourth. Then the correct option is A.

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

More about the constant of variation link is given below.

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Answer:

Keep it simple. Answer: A

Step-by-step explanation:

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

Answer: y=5x+100

Step-by-step explanation:

the y intercept is the 100$ invested into the account, and the rate of change is 5

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

Multipiciation is the process of combining numbers or vectors together in order to determine their product. Multiplication is represented with this sign: x.

The total cost of attending the college for four years = cost per year x total number of years

$14,500 x 4 = $58,000

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Answer:

IQR = 5

Step-by-step explanation:

the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 51

Q₁ is the value at the left side of the box plot , that is

Q₁ = 46

then

IQR = Q₃ - Q₁ = 51 - 46 = 5

Answer: y = -1.3

Step-by-step explanation:

In the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

[tex]a+bi[/tex]

Here, (a) is the real part while (b) is the imaginary part.

The difference of two number is given as,

[tex]4-10i[/tex]

Compare it with the real number form, we get,

[tex]a=4\\b=-10[/tex]

Thus, in the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

Learn more about the complex number here;

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Answer:

4 and then -10i

Step-by-step explanation:

Found correct in Edge.

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

[tex] \: [/tex]

Step-by-step explanation:

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

The sketch of the function on the set of axes is given below:

The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.

As we have the zeros 2,-2,4,-4

The function can be:

[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]

The sketch using a graphing calculator:

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Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

Answer:

0.64

Step-by-step explanation:

...........................

Answer:

0.64

Step-by-step explanation:

3.20 divided by 5 is 0.64.

Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

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