4. Is the following relation a function? (2 points)

X Y
-1 -2
2 3
3 1
6 -2

O Yes
O No

Answer:

L=54+2d

L=54+2*39

L=54+78

L=132

Answer:

L = 2D + 54

132 miles

Step-by-step explanation:

Starting length: 54

Additional length each day: 2

On day 0, the additional length is 0.

On day 1, the additional length is 2 × 1

On day 2, the additional length is 2 × 2

On day 3, the additional length is 2 × 3

...

On day D, the additional length is 2 × D or simply 2D.

The total length after D days is the original length plus the total amount of the daily additions.

The equation is:

L = 2D + 54

On day 39, D = 39

L = 2D + 54

L = 2 × 39 + 54

L = 78 + 54

L = 132

Answer:

L = 2D + 54

132 miles

Answer:

B

Step-by-step explanation:

This is an isosceles triangle. So, the sides opposite to equal angles are equal.

y = 5

To find x, use Pythagorean theorem,

x² = 5² + 5²

   = 25 + 25

   = 50

[tex]x =\sqrt{50}\\\\x=\sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]

Answer:

Arachnid is my guess.

Using the graph, it is found that:

a) The local minimum value of the function is of y = 0.

b) The values are x = -3, x = 3.

The local minimum of a function in a graph is the point at which the function changes from decreasing to increasing. In this problem, they are given by y = 0.

The values at which this happen is the values of x, that is, the horizontal axis. In this problem, they are at x = -3 and x = 3.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

79 square inches

Step-by-step explanation:

First, let's find the diameter given the circumference.

Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.

Therefore, the answer is 79 square inches.

Answer:

4 hours and 33 minutes

Step-by-step explanation:

Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.

5*45 = 225

225+35 = 260 minutes or 4 hours and 33 minutes

Answer:

Step-by-step explanation:

[tex]3(v^{8}) -w\\ 3v^{8}-w[/tex]

Answer:

14 mi

Step-by-step explanation:

V = 718.38 mi³, r = 7 mi, find h

Use V = πr²h/3

718.38 = 3.14 * 7² * h/3

718.38 = 51.287 h

h = 718.38/51.287 = 14 mi

The line DB is 8cm which is made up of DE and EB which are equal to each other, thus DE and DB are both 4 cm.

Secondly, since AC and DB are perpendicular, that means angle DEC and angle DEA are ninety degrees.

Thus using the Pythagorean theorem, we can find the length of AE and EC which we can add up to find the length of AC.

           [tex]AE = \sqrt{AD^2-DE^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9}=3\\ \\EC=\sqrt{DC^2-DE^2}=\sqrt{6^2-4^2}=\sqrt{36-16} =\sqrt{20} =2\sqrt{5} =4.47[/tex]

By adding AE and EC, we get that the length of AE and EC is 7.47 or as approximated to the nearest tenth 7.5.

Hope that helps!

Answer:

x = 5 ± i√11 / 2

Step-by-step explanation:

At the y-intercept the value of y is equal to 0.

=> 0 = x² + 5x + 9

=> x = -5 ± √25 - 4(9) / 2

=> x = 5 ± √-11 / 2

=> x = 5 ± i√11 / 2

Answer:

Store X, because the sale price would be $68

Step-by-step explanation:

vStore X, because the sale price would be $68

Assuming at Store Y all cameras are on sale for off the original price. The store with the better sale price is: Store y, because the sales price is $64.

Store x

x=80×(1-0.15)

x=80×0.85

x=68

Store y

y=80×(-1/5+1)

y=80×4/5

y=64

y=64≤68

Based on the above calculation store y is the best.

Inconclusion the store that would have the better sale price is: Store y, because the sales price is $64.

Learn more about store x and y here:https://brainly.com/question/20455611

4

1-

6

Step-by-step explanation:

its because i cant understand

Answer:

[tex]\Large \displaystyle \frac{7}{8}[/tex]

Step-by-step explanation:

Volume = area of cross-section × height

Mixed to improper fraction

7/4 × 1/2 = 7/8

Hi! I hope you're enjoying your day!

First, 8 multiplied by 5 is equal to 40.

Then, 40 over 12 is the same as 40 divided by 12.

But hey! 40 isn't divisible by 12.

So we write this as a fraction:

[tex]\bold{\displaystyle\frac{40}{12} }[/tex]

Surprise! This fraction can be reduced.

[tex]\bold{\displaystyle\frac{10}{3} }[/tex]

Hence, the answer is:

[tex]\boxed{\boxed{\bold{\displaystyle\frac{10}{3} }}}[/tex] <-- the answer written as an improper fraction

[tex]\boxed{\boxed{\bold{3\displaystyle\frac{1}{3}}}}[/tex] <-- the answer written as a mixed number

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=16000\left(1+\frac{0.036}{4}\right)^{4\cdot 20}\implies A=16000(1.009)^{20}\implies A\approx 19100[/tex]

Based on Lauren's income and the various deductions, the net pay for April is $1,151.44.

Taxable income:

= Semimonthly income - 401k - Section 125 plan

= (51,680 / 24 pay periods) - (0.03 x 51,680/24 periods) - 139

= 2,153.33 - 64.6 - 139

= $1,949.73

= Taxable income - federal income tax - state income tax - social security - Medicare - advance repayment

= 1,949.73 - (1.6% x 1,949.73) - (5.25% x 1,949.73) - (6.2% x 2,153.33 gross income) - (1.45% x 2,153.33) - 500

= $1,151.44

Find out more on taxable income at https://brainly.com/question/10137785.

Answer:

C = 25.1

Step-by-step explanation:

Use the formulas:

Solving for C:

Round to the nearest tenth:

Answer:

Ans= {0,1,2,3,4,5,6,7,8,9,10}

Step-by-step explanation:

Union of set A, B, C

A={0,2,4,6,8,10}

B={0,1,2,3,4,5,6}

C={4,5,6,7,8,9,10}

Union={0,1,2,3,4,5,6,7,8,9,10}

It looks like the inequality is

[tex]\bigg|x + 6 - |3x + 6|\bigg| + |x + 2| - x - 4 \le 0[/tex]

or equivalently,

[tex]\bigg|x + 6 - 3 |x + 2|\bigg| + |x + 2| - x - 4 \le 0[/tex]

Recall the definition of absolute value:

[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]

By this definition, we have

[tex]|x + 2| = \begin{cases} x + 2 & \text{if } x + 2 \ge 0 \\ -(x + 2) & \text{if } x + 2 < 0 \end{cases} = \begin{cases} x + 2 & \text{if } x \ge -2 \\ -x - 2 & \text{if } x < -2 \end{cases}[/tex]

Suppose [tex]x < -2[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (-x - 2)| + (-x - 2) - x - 4 \\\\ = |4x + 12| - 2x - 6[/tex]

By definition of absolute value,

[tex]|4x + 12| = 4 |x + 3| = \begin{cases} 4x + 12 & \text{if } x \ge -3 \\ -4x - 12 & \text{if } x < -3 \end{cases}[/tex]

so we further suppose that [tex]x < -3[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (-4x - 12) - 2x - 6 \\\\ = -6x - 18 \le 0 \\\\ \implies x \ge -3[/tex]

but this is a contradiction, so this case gives no solution.

If instead we have [tex]-3 \le x < -2[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (4x + 12) - 2x - 6 \\\\ = 2x + 6 \le 0 \\\\ \implies x \le -3[/tex]

and [tex]-3 \le x[/tex] and [tex]x \le -3[/tex] means that [tex]\boxed{x = -3}[/tex].

Now suppose [tex]x \ge -2[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (x + 2)| + (x + 2) - x - 4 \\\\ = |-2x| - 2 \\\\ = 2 |x| - 2[/tex]

If we further suppose that [tex]-2 \le x < 0[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = -2x - 2 \le 0 \\\\ \implies x \ge -1[/tex]

Otherwise, if [tex]x \ge 0[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = 2x - 2 \le 0 \\\\ \implies x \le 1[/tex]

Taken together, this case gives the solution [tex]\boxed{-1 \le x \le 1}[/tex]

So, the overall solution to the inequality is the set

[tex]\boxed{\left\{ x \in \mathbb R : x = -3 \text{ or } -1 \le x \le -1 \right\}}[/tex]

A turning point is a point at which the derivative changes sign. A turning point may be either a relative maximum or a relative minimum (also known as local minimum and maximum). 

8 percent of the number 156.25 is 12.5.

Let the unknown number be x.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 8% of x is 12.5

8% of x= 12.5

8/100 ×x= 12.5

0.08x=12.5

x=12.5/0.08

x= 156.25

Therefore, 8 percent of the number 156.25 is 12.5.

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#SPJ6

Answer:

Step-by-step explanation:

[tex]2^{5} *5 = 2 * 2* 2 * 2 * 2 *5[/tex]

         = 160

Answer:

96 or 2,160

Step-by-step explanation: