which expression is equivalent to (sqrt)-80 complex number

Answer:

2^170

Step-by-step explanation:

(16 x 4^3 x 8^8)^ 5

- start by converting it all to a common base

(2^4 x 2^3 x 2^24)^5

- calculate the product, by adding all the powers

(2^34)^5

= 2^170

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y - 1 = 0 ( subtract 3x - 1 from both sides )

y = - 3x + 1 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = - 3x + 7 ← equation of line in form y = mx + c

Answer:

-14

Step-by-step explanation:

[tex]y = 4x - 2 \\ y = 4( - 3) - 2 \\ y = - 12 - 2 \\ y = - 14[/tex]

Answer:

Its B. "x" is all real numbers. Happens in any case that the line is horizontal. Hope this helps!

Answer:

Step-by-step explanation:

The given information is expressed as

Side effect no side effect total

Adult 7 43 50

Children 22 28 50

Total 29 71 100

Probability is expressed as

Number of favorable outcomes/number of total outcomes

For the probability that an adult has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 7

Probability that an adult has side effects = 7/50 = 0.14

For the probability that a child has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 22

Probability that an adult has side effects = 22/50 = 0.44

Therefore, it is more likely that a child has side effects compared to an adult

Answer: The given information is expressed asSide effect no side effect totalAdult 7 43 50Children 22 28 50Total 29 71 100Probability is expressed as Number of favorable outcomes/number of total outcomesFor the probability that an adult has side effects, Total number of outcomes = 50Number of favorable outcomes = 7Probability that an adult has side effects = 7/50 = 0.14For the probability that a child has side effects, Total number of outcomes = 50Number of favorable outcomes = 22Probability that an adult has side effects = 22/50 = 0.44Therefore, it is more likely that a child has side effects compared to an adult

Step-by-step explanation:

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Answer:

q= 5

Step-by-step explanation:

Geometric mean of two term p and q is = [tex]\sqrt{pq}[/tex]

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

[tex]\sqrt{35} = \sqrt{7q} \\[/tex]

squaring both sides

[tex]\sqrt{35}^2 = \sqrt{7q} ^2\\=>35 = 7q\\=> q = 35/7 = 5[/tex]

Thus, q= 5

Answer:

59049.

Step-by-step explanation:

It is given that, 2 years later, two years ago, the population of this same city was 81,000 and today it is 65,610.

So, graph passing through (2,81000) and (-2,65610).

The general exponential function is

[tex]y=ab^x[/tex]

where, a is initial value or present year population and b is growth factor.

Since graph passing through (2,81000) and (-2,65610), therefore the above equation must be satisfied by these points.

[tex]81000=ab^2[/tex]    ...(1)

[tex]65610=ab^{(-2)}[/tex]    ...(2)

Multiplying (1) and (2), we get

[tex]81000\times 65610=ab^2\times ab^{-2}[/tex]

[tex]5314410000=a^2[/tex]

Taking square root on both sides.

[tex]72900=a[/tex]

Substitute a=72900 in (1).

[tex]81000=72900b^2[/tex]

[tex]\dfrac{81000}{72900}=b^2[/tex]

[tex]\dfrac{10}{9}=b^2[/tex]

Taking square root on both sides.

[tex]\dfrac{\sqrt{10}}{3}=a[/tex]

So, the population function is

[tex]y=72900\left(\dfrac{\sqrt{10}}{3}\right)^x[/tex]

Substitute x=-4 in the above equation, to find the population of four years ago.

[tex]y=72900\left(\dfrac{\sqrt{10}}{3}\right)^{-4}[/tex]

[tex]y=72900(0.81)[/tex]

[tex]y=59049[/tex]

Therefore, the population of four years ago is 59049.

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:

Step-by-step explanation:

4th

Answer:

Answer 4

Step-by-step explanation:

Vertical angles are those angles that are opposite from each other, so that is correct. Angles that = 180 are ones that are right next to each other, so that eliminates the first and second answer. The fourth answer is incorrect because angle 2 and angle 4 are next to each other (supplementary), and they = 180 when added.

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Answer:

The new graph will be lower than the original.

Step-by-step explanation:

Currently, looking at the equation of the total weight, we have f(x) = x + 30.

This equation is in the form y = mx + b, where m is the slope and b is the y-intercept (the place where the line crosses the y-axis). Here, 30 is the y-intercept. See first attachment.

However, if we change 30 to 26, we get the new equation g(x) = x + 26. Since 26 < 30, the y-intercept will be lower and the whole graph will be lower. See second attachment.

Thus, the new graph will be lower than the original.

~ an aesthetics lover

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

Hey there! :)

Answer:

B. 0

Step-by-step explanation:

On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.

Thus, the graph has a slope of 0.

Answer:

B. 0

Step-by-step explanation:

Use the following formula to solve for slope:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -2)

Plug in the corresponding numbers to the corresponding variables:

m = (-2 - (-2))/(2 - 0)

Simplify:

m = (-2 + 2)/(2 - 0)

m = 0/2 = 0

B. 0 is your slope.

~

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

Answer:

The numbers that represent this situation are 7 and 9.

Step-by-step explanation:

For this problem, we have to find two numbers that sum up to 16 and have a difference of 2.

First, let's list out the numbers the sum up to 16.

1 + 15

2 + 14

3 + 13

4 + 12

5 + 11

6 + 10

7 + 9

From this list, we can see that 7 and 9 are our numbers. 7 and 9 sum up to 16. When you subtract 7 from 9, then you will get a difference of 2.

So, two numbers that have a sum of 16 and a difference of 2 are 7 and 9.

Answer:

3/10

3/10

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9 are in a box

odd primes are 3 and 5 and 7  ( 1 is neither prime nor composite)

There is a total of 10 numbers

P( odd prime) = number of odd primes / total = 3/10

perfect squares greater than 0 are 1,4,9

P( perfect squares) = number of perfect squares / total = 3/10

Answer: 3/10(the first one)

Step-by-step explanation: So, prefect squares are numbers that are divisible by two numbers multiplied by them selves, 1 is 1 x 1 4 is 2 x 2 and 9 is 3 x 3 so 3 numbers out of 10 from 0 to 9 are perfect squares! Hope this helps, 15402256.

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

Answer:

e=15.8

Step-by-step explanation:

Well we use the law of cosines

e^2=11^2+6^2-2(11)(6)cos(134)

[tex]e^{2} =121+36-132cos134\\e^2=157-132cos143\\e^2=248.694....\\e=15.8[/tex]

Answer:

15.8

Step-by-step explanation:

Using Cosine rule

a² = b²+c²-2bcCos A

a = e

b = 11

c = 6

A = 134°

e² = 11²+6²-2•11•6 × Cos 134

" = 121+36 -132× -0.69466

" = 157 + 91.69512

" = 248.69512

e² = 248.6951

e = (248.6951)½

e = 15.7701

nearest tenth = 15.8

Answer:

3/2

Step-by-step explanation:

3/4x - 1/2y = 12

*3/4    *3/4      *3/4

9/16x - 3/8y = 9

(9/16)/(3/8) = 9/16 * 8/3 = 3/2

Answer:

Step-by-step explanation:

Hello,

I assume that we are looking for a and b so that

ax - by = 9

<=>

[tex]\dfrac{3}{4}x-\dfrac{1}{2}y=12[/tex]

we can notice that 12 = 4 * 3

so we need to multiply by 3 and divide by 4 to get 9 from 12

[tex]\dfrac{3}{4}*(\dfrac{3}{4}x-\dfrac{1}{2}y)=\dfrac{3}{4}*12=9\\<=> \dfrac{3*3}{4*4}x-\dfrac{1*3}{4*2}y=9\\<=> \dfrac{9}{16}x-\dfrac{3}{8}y=9[/tex]

Then, we can identify a and b

[tex]a=\dfrac{9}{16} \ \ \text{\sf and} \ \ b=\dfrac{3}{8}[/tex]

Then

[tex]\dfrac{a}{b}=\dfrac{9*8}{16*3}=\dfrac{3}{2}[/tex]

hope this helps

Answer:

14 problems worth 5 points and 15 problems worth 2 points

Is the correct answer

Step-by-step explanation:

The solution are;

⇒ x = 14

⇒ y = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation for given condition is;

⇒ x + y = 29, 5x + 2y = 100

Now,

Since, The system of equation for given condition is;

⇒ x + y = 29   ..(i)

⇒ 5x + 2y = 100  ..(ii)

Solve both the equation, we get;

⇒ 5x + 5y = 145

Subtract from (ii), we get;

⇒ 5y - 2y = 145 - 100

⇒ 3y = 45

⇒ y = 15

And, x + y = 29

x + 15 = 29

x = 29 - 15

x = 14

Thus, The solution are;

⇒ x = 14

⇒ y = 15

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~

(x + 3) - 2(4 + x) + 5x - 4 =

4x - 9

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

Answer:

4x -9

Step-by-step explanation:

First, expand it by multiplying (x+4) with -2.

(x + 3) - 2(4 + x) + 5x - 4

= x + 3 - 8 - 2x + 5x - 4

Then, collect like terms. Add up the coefficient of x, and the whole numbers separately.

= x - 2x +5x + 3 -8 -4

= 4x -9

When nothing can further be simplified, you get the answer.

Answer:

16

Step-by-step explanation:

father's age=46

half of father's age=46/2=23

Xiao's age=15

so when Xiao is half of her father age =23-15=8

then add 8 to his sister's age

so 8+8=16

hope its was helpful<3<3

plz rate the answer

Answer:

His sister will be 16 year old

Step-by-step explanation:

46/2 = 23

15-8=7

23-7=16