What is 80% of 160
(math homework ☹️)

Answer:

b = 4, or -4

Step-by-step explanation:

b^2 - 4*4*1 = 0

b^2 = 16

b = 4, or -4

Answer: For this question, the answers are as follows:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

Part A: The slope of a line is y=mx+b

equation for this part would be : d=mt

plug in the value: d=3.6t

Part B: The value of t is 3 hours

Plug everything in: 3.6 (3)= 10.8 miles

Part C: The Distance given is 4.32 miles.

4.32 miles = 3.6 hours

then divide both sides by 3.6

you get  t=1.2 hours

Hope this helped and didn't confuse you!

We have the identity

[tex]\left(\sqrt x + \dfrac1{2^n}\right)^2 = x + \dfrac1{2^{n-1}} \sqrt x + \dfrac1{2^{2n}}[/tex]

Take the square root of both sides and rearrange terms on the right to get

[tex]\sqrt x + \dfrac1{2^n} = \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt{x} + \dfrac1{2^{n+1}}\right)}[/tex]

Decrementing n gives

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \left(\sqrt{x} + \dfrac1{2^{n}}\right)}[/tex]

and substituting the previous expression into this, we have

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right) } }[/tex]

Continuing in this fashion, after k steps we would have

[tex]\sqrt x + \dfrac1{2^{n-k}} = \sqrt{x + \dfrac1{2^{n-(k+1)}} \sqrt{x + \dfrac1{2^{n-k}} \sqrt{x + \dfrac1{2^{n-(k-1)}} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

After a total of n - 2 steps, we arrive at

[tex]\sqrt x + \dfrac14 = \sqrt{x + \dfrac12 \sqrt{x + \dfrac1{2^2} \sqrt{x + \dfrac1{2^3} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

Then as n goes to infinity, the first nested radical converges to √x + 1/4. Similar reasoning can be used to show the other nested radical converges to √x - 1/4. Then the integral reduces to

[tex]\displaystyle \int_e^{e^2} \left(\sqrt x - \frac14\right) + \left(\sqrt x + \frac14\right) \, dx = 2 \int_e^{e^2} \sqrt x \, dx = \boxed{\frac43 \left(e^3 - e^{\frac32}\right)}[/tex]

Solution:

Given that:

Substitute the value of y into equation #2.

Since the equation has no variable and is false, this system has no solution.

Answer:

The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.

The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.

-2 times 3x is -6x  and  -2 times -4 is positive 8

Step-by-step explanation:

y = 3x - 4

3x - 2y = 13

------------------------

3x - 2(3x - 4) = 13

3x - 6x + 8 = 13

-3x + 8 = 13

-3x = 5

x = -5/3

y = 3(-5/3) - 4

y = -5 - 4

y = -9

Solution: x = -5/3 and y = -9

Answer:

I think its D

Step-by-step explanation:

Answer:

a four is correct answer

Answer:

A. 4

Step-by-step explanation:

Side AE corresponds to EC, so the scale factor is 3.

12/3=4

Hope this helps :)

Answer: One root

Explanation:

x^3 = -343

x^3 + 343 = 0

x^3 + 7^3 = 0

(x+7)(x^2 - 7x + 7^2) = 0 .... sum of cubes factoring rule

(x+7)(x^2 - 7x + 49) = 0

Set each piece equal to zero and solve for x.

You should find that the first piece x+7 = 0 leads to x = -7 as the only real root.

The other piece x^2-7x+49 = 0 leads to two non-real roots, ie complex roots.

x2+y2+8x+6y=0

x2+8x+6y+y=0

9x2+7y2

15x2y2

Answer:

protecting your personal belongings as a renter.

Step-by-step explanation:

your TVs, laptops, furniture, jewelry, etc.

Answer:

option C is correct answer.

hope this helps you !

Answer:

The triangle is obtuse if one angle is between 90º and 180º.

More : Acute < 90º, right = 90º, reflex > 180º (straight 180º, full rotation 360º)

Answer:

35t + 20k

Step-by-step explanation:

Let t = number of toddlers.

Let k = number of kids.

Her pay is

35t + 20k

Answer:

false

Step-by-step explanation:

to get the area of a rectangle u need to multiple length and width.

Answer:

false

Step-by-step explanation:

the given expression describes the perimeter.

the area is

length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)

Answer:

  4) a > b·sin(A) -- triangle exists

  5) a > b·sin(A) -- triangle exists

Step-by-step explanation:

The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...

  sin(B)/b = sin(A)/a

  sin(B) = b·sin(A)/a

In order for the triangle to exist, we must have ...

  1 ≥ sin(B)

  1 ≥ b·sin(A)/a

  a ≥ b·sin(A) . . . . . . . always true if a > b

__

  a ? b·sin(A)

  17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists

__

  a ? b·sin(A)

  24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists

_____

Additional comment

In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.

The only rational numbers that will give a right angle for B are ...

  a=1, b=2, A=30° . . . . . and any multiples of these side lengths

Answer:

$18.75

Step-by-step explanation:

25/4 = 6.25

25-6.25=18.75

$18.75

Answer:

It's probably 9+59=68

Step-by-step explanation:

=> 9+59=68

68 - 59 gives you 9

So in order to check if the problem was solved correctly you will add the answer plus the subtraction of one number in the two numbers of subtraction

which means between the options 9 + 59 equals to 68 is absolutely the correct answer

Step-by-step explanation:

first lets do the bottom rectangular prism

v = l * w * h

l = 9

w = 3

h = 3

can you work out the volume and answer in the comments

[tex] \frac{1}{4}[/tex] is the answer.

(I have included the answer as picture.)

[tex]\rm{Have \: a \: great \: day! \: :)}[/tex]

Answer:

A soda costed $3.50.

Step-by-step explanation:

Step 1) We know that a slice of pizza and a soda costs $9 (from Kate's order). With a burger added (Billy's order) it would cost $13.50.

So a burger would cost $4.50:

[tex]13.50-9=4.50[/tex]

Step 2) We also know a burger and a soda costs $8. So we subtract the cost of the burger from Louis' order to find the cost of the soda:

[tex]8-4.50=3.50[/tex]

Cost of soda: [tex]\$3.50[/tex]

Answer:

50

Step-by-step explanation:

400x2.5

[tex] \Large{\boxed{\sf Option \ A) \ Slope = -2 }} [/tex]

[tex] \\ [/tex]

To find the value of the slope of the line that passes through the points (5 , -11) and (-9 , 17), we will have to use the slope formula.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope \ formula \text{:}} \\~ \\ \tt m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1}\end{array} \right] } [/tex]

Where m is the slope of the line.

[tex] \\ [/tex]

To apply the above formula, we first need to identify our values.

[tex] \sf (\underbrace{\sf 5}_{x_1} \ , \ \overbrace{\sf -11}^{y_1} ) \ \ and \ \ (\underbrace{\sf -9}_{x_2} \ , \ \overbrace{\sf 17}^{y_2} ) [/tex]

[tex] \\ [/tex]

Let's substitute these values into the formula:

[tex] \longrightarrow \sf m = \dfrac{17 - (-11)}{-9 - 5} \\ \\ \\ \longrightarrow \sf m = \dfrac{17 + 11}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{28}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{7 \cdot 4}{7 \cdot (-2)} \\ \\ \\ \longrightarrow \sf m = -\dfrac{4}{2} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf m = - 2}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope formula here:

↣https://brainly.com/question/19708647

Gradient (m) of a Line :

[tex]\underbrace{\rm{ m = \dfrac{y_2 - y_1}{x_2-x_1}}}_{m}[/tex]

Substituting the known values ,

➱ [tex]\rm{m=\dfrac{17-(-11)}{-9-5}}[/tex]

➱ [tex]\rm{m=\dfrac{17+11}{-14}}[/tex]

➱ [tex]\rm{m=\dfrac{28}{-14}}[/tex]

➱ [tex]\rm{m=-2}[/tex]

Henceforth, Gradient = -2

Answer:

Step-by-step explanation:

answer:

74

Step-by-step explanation:

The sample size for the given confidence interval is 96.

A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.

Given confidence of margin is at 95%

E = 0.1 = margin of error

95% confidence interval of Z = 1.96

sample size = n, which is given by

n = (Z/E)²(p)(1 - p)

n = (1.96/0.1)²(0.5)(0.5)

n = 96.04 = 96 approx

Hence, the sample size is 96.

Learn more about confidence intervals;

https://brainly.com/question/29680703

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Answer:

the answer for the question is N=6

Answer:

6 laps they will run

Step-by-step explanation:

I say 6 laps because if you do 42/7 then you will get 6 so 6 laps.

The expression 400(1.12)^y is an exponential function

The true statement is that the growth rate of the fish in the lake is 12%

The expression is given as:

400(1.12)^y

The above expression is an exponential growth function,

Where:

Next, we calculate the growth rate (r) as follows:

r = 1.12 - 1

r = 0,12

Express as percentage

r = 12%

Hence, the true statement is that the growth rate of the fish in the lake is 12%

Read more about exponential functions at:

https://brainly.com/question/11464095