which value could be the length of the missing side of the triangle?

A. 5
B. 7
C.17
D.12

Answer:

[tex]B. 4x^2+20x+25[/tex]

Step-by-step explanation:

The length of the side:

[tex]2x+5[/tex]

In a square all sides have the same length.

And the area of a square is given by the formula:

[tex]Area=(length)^2[/tex]

so, substituting that the length is [tex]2x+5[/tex]

[tex]Area=(2x+5)^2[/tex]

and we solve this squared binomial with the formula:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

in this case [tex]a=2x[/tex] and [tex]b=5[/tex]

thus, we get:

[tex]Area= (2x)^2+2(2x)(5)+(5)^2[/tex]

and solving:

[tex]Area=4x^2+20x+25[/tex]

which is option B.

The college graduate will have received a total income of $699,848.22 after ten years, starting with a salary of $60,000 and increasing by 4% each year.

To find the total income the college graduate will have received after ten years, we need to calculate the salary for each year and sum them up. The first year salary is $60,000. After that, the salary increases by 4% each year. To calculate the salary for each subsequent year, multiply the previous year's salary by 1.04. Here are the calculations for each year:

Now, sum up the salaries for each year:

Total income after ten years = $60,000 + $62,400 + $64,896 + $67,491.84 + $70,190.95 + $72,999.66 + $75,923.45 + $78,967.79 + $82,138.35 + $85,440.18 = $699,848.22

Therefore, the college graduate will have received a total income of $699,848.22 after ten years.

The college graduate will receive a total income of approximately $720,360 over ten years.

1. To calculate the total income a college graduate will receive over ten years with an initial salary of $60,000 and a 4% annual raise, we can use the formula for the sum of a geometric series.

2. The formula for the sum of the first n terms of a geometric series is given by:

Sum = a(1 - [tex]r^{n}[/tex]) / (1 - r)

3. Substituting the given values:

a = 60,000, r = 1.04, n = 10

Sum = 60,000 * (1 - [tex]1.04^{10}[/tex]) / (1 - 1.04)

Sum = 60,000 * (1 - 1.48024) / ( -0.04)

Sum = 60,000 * (-0.48024) / (-0.04)

Sum = 60,000 * 12.006

Sum ≈ 720,360

4. Total Income:

Thus, the total income received after ten years is approximately $720,360.

Answer:

20/156 or 5/39

Step-by-step explanation:

the first part of the equation will be:

5/13 (5 is how many blue and 13 is altogether)

the next part of this equation is the green marble. Because we didn't put the blue marble back, the next part of the equation will be:

4/12 (4 is how many green and 12 is altogether now that one blue was taken out)

and from there, you multiply 5/13 with 4/12, with will give you 20/156, or 5/39 if you simplify.

use the discount?

this is really confusing

you are required to apply to the terms and conditions of the discount stuff.

➷ 3) It would be option D as x is larger than 12 but not equal to it (hence the circle is not filled in)

4) It would be option C as x is smaller then -15 and can be equal to it (hence the circle is filled in)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3) D

x > 12 (x is bigger than 12)

4) C

[tex]x \leqslant - 15[/tex]

(x is equal to, or is smaller than -15)

Step-by-step explanation:

[tex]1.\ x-9.5=1.23\qquad\text{add 9.5 to both sides}\\\\\boxed{x=10.73}\\\\2.\ k-4.3=12\qquad\text{add 4.3 to both sides}\\\\\boxed{k=16.3}\\\\3.\ r-20=32\qquad\text{add 20 to both sides}\\\\\boxed{r=52}\\\\4.\ d-10=25\qquad\text{add 10 to both sides}\\\\\boxed{d=35}\\\\5.\ n-(-8)=-18\\\\n+8=-18\qquad\text{subtract 8 from both sides}\\\\\boxed{n=26}\\\\6.\ c-(-2.6)=-14.9\\\\c+2.6=-14.9\qquad\text{subtract 2.6 from both sides}\\\\\boxed{c=-17.5}[/tex]

Answer:

=5sqrt(2)

Step-by-step explanation:

The length of a line segment is given by

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (9-2)^2 + (8-5) ^2)

   = sqrt(7^2 + 3^2)

  = sqrt(49+9)

 = sqrt(50)

=sqrt(2*25)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(25)sqrt(2)

=5sqrt(2)

The answer is 5sqrt of 2

Answer:

it is b. corner H according to my test results  

Step-by-step explanation:

[tex]\bf \begin{array}{lrlll} \stackrel{\textit{volume of a cone}}{\cfrac{\pi r^2 h}{3}\qquad \implies \qquad \cfrac{\pi r^2 h}{3}}=20\pi&\qquad \qquad \stackrel{\textit{volume of a cylinder}}{\pi r^2 h\qquad \implies \qquad 3\left(\cfrac{\pi r^2 h}{3} \right)} \\\\\\ &3(20\pi ) \\\\\\ &60\pi \\\\\\ &\approx 188.5 \end{array}[/tex]

Solution :

Since there are 36 apples

There are n friends

Since each friend gets 2 apples.

So, n friends get apples= 2n

Answer:

B) 2n = 36

Step-by-step explanation:

Each friend receives 2 apples.

n number of friends receive 2n apples.

2n is the total number of apples, and it equals 36.

The equation is

2n = 36

Answer: B) 2n = 36

PEMDAS has addition before subtraction there for you would do 5+8=13 then 17-13 which equals 4

BODMAS is the shortened way of telling the order

Bracket

Of

Division

Multiplication

Addition

Subtraction

Therefore addition should be done first

17 - 5+8=17-13=4

I think it’s C. But I’m not A 100 sure

Answer:

The Answer Would be (C. 3x3 - 4x2 - 10)

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Find the difference of the following:

Remove the parenthesis we get;

Combine like terms;

Therefore, the difference of  is,

Answer:

Opposites in the numbers world refer to numbers that have the same absolute value, but one is negative, while the other is positive.

For a real world example, consider if you have your friend 5 dollars. The amount you have in the transaction is the opposite of the amount he has in the transaction.

The opposite of a number X is that number that when added to X produces zero. The opposite of X is denoted with −X.

The opposite of a number has the same absolute value as the number but an opposite sign. For example, the opposite of 1 is equal to −1 because 1 + (−1) = 0.

The opposite of zero is zero. This is the only number whose opposite is equal to itself. So zero is the neutral element with regard to addition.

In turn, the opposite of a complex number corresponds to a rotation of 180°.

Learn more about opposite numbers in https://brainly.com/question/13923790

Answer:

rise/run

Example:

say the lines is going 3 up and 4 to either side, the slope would be 3/4 :)

Answer:

Step-by-step explanation:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?

Step One: Identify two points on the line.

In this example we are given two points, (15, 8) and (10, 7), on a straight line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).

Step Three: Use the equation to calculate slope.

Once we've completed step 2, we are ready to calculate the slope using the equation for a slope.

We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope.

Answer:

It's A.

Step-by-step explanation:

For every value of x there is one value of y  - we can draw a vertical line through any value of x and it will pass through only one value of y.

Therefore it is a one-to-one function.

Answer:

Option A

Step-by-step explanation:

The curve given is an increasing curve cutting x axis once and y axis once.

Any vertical line cuts only once the curve. Hence this is a function only.

We find that for every y in the range there is only one x corresponding to that.

Hence this curve is not a many to one curve.  It is not linear because it is not  a straight line.  It is a function.

Hence only correct option is

a) The curve is a one to one function.

Answer:

[tex]\large\boxed{|x+7|\geq2}[/tex]

Step-by-step explanation:

Look at the picture.

[tex]|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)[/tex]

Answer: This is the correct answer bc RSM said so. Thank You So Much

Step-by-step explanation:

Answer  the answer is b  12 divided by 24 is 2

Step-by-step explanation:

Answer:

(A.) $0.50 per candy bar

(B.) 2 candy bars per dollar

(C.) $6 per dozen

Step-by-step explanation:

The store sells 24 candy bars for $12 . The three unit rate that can be used to describe this sale are

Let us confirm for option A

24 candy bars sale for $12

1 candy bar will sale for ?

cross multiply

12/24 = 1/2 = $0.5

A is right and it is a unit rate

Let us confirm for option B

24 candy bars sale for $12

2  candy bars will sale ?

(2 × 12)/24 = 24/24 = $1

B is right and it is a unit rate

Let us confirm for option C

Note that a dozen is 12 bars

24 candy bars sale for $12

12 candy bars will sale ?

(12 × 12)/24 = 144/24 = $6

C is right and it is a unit rate

Let us confirm for option D

24 candy bars sale for $12

10 candy bars sale for ?

(10 × 12) /24 = 120/24 = $5

Option d is wrong it is not a unit rate. The unit rate here should be 2 candy bar per dollar.

Answer:

1-ELIMINATION.

2- SUBSTITUTION.

3- GRAPHING.

Step-by-step explanation:

Methods:

1- Elimination:

- Line up the variables.

- To cancel out one of the variables, you need to make that the coefficient of that variable opposite. For example:

[tex]\left \{ {{3x+y=1} \atop {-3x+4y=3}} \right.[/tex]

As you can see, the coefficient of x in the first eqation is 3 and -3 in the second option.

- Add the equations.

- Solve for the the variable that is still present.

- Substitute the value of the variable obtained into one of the original equations.

- Solve for the other variable.

2- Substitution:

- Solve for one of the variables from any of the equations of the system.

- Substitute into the other equation for that variable.

- Solve for the other varible to find its value.

- Substitute the value obtained into any of the original equations and solve for the other variable.

3- Graphing:

- Rewrite the equations as equtions of the line slope intercept form ([tex]y=mx+b[/tex], where m is the slope nd b the y-intercept).

- Graph each line.

-  Then:

If there ir an intersection point of the two lines, then that point is the solution to the system

If the lines are the same, there are infinitely many  solutions.

If the lines are parallel, then there is no solution

Answer:

$81

Step-by-step explanation:

The total cost would be cost + cost(tax), or cost(1 + tax).

So here, it would be 75(1 + 0.08).

That is equal to $81.

Answer:

x = 7

Step-by-step explanation:

Similar

The two triangles

1) the one making up the peak of the large triangle

2)the large triangle  

are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.

Proportion

Therefore the sides are in proportion.

5/40 = 3/(2x + 10)

Solution

Cross multiply

5*(2x + 10) = 40*3

Remove the brackets on the left. Combine the right.

10x + 50 = 120          

Subtract 50 from both sides

10x + 50 - 50 = 120 - 50

10x = 70

Divide by 10

10x/10 = 70/10

x = 7

Answer:

The answer is 190.

Step-by-step explanation:\

500/100 = 5

5*38 = 190

Hope this helps. Please mark as brainliest.

Answer:

190

Step-by-step explanation:

38% of the plants in the garden are trees.  38% of a total of 500 plants comes out to 190 trees.

[tex]\bold{Hey\ there!}\\ \\\bold{(x+8)-(-3x-5)} \\ \bold{Distribute\downarrow} \\ \bold{x(-3x)=-3x^2} \\ \bold{x(-5)=5x} \\ \bold{8(-3x)=-24x} \\ \bold{8(-5)=-40} \\ \\ \bold{We\ get:x+8+3x+5} \\ \bold{Combine\ the\ like\ terms\downarrow} \\ \bullet \ \bold{x \& 3x} \\ \bullet \ \bold{8\&5} \\ \\ \bold{Substitute\ the\ x\ by \ itself\ is\ 1}[/tex]

[tex]\bold{1x+3x=4x} \\ \bold{8+5=13} \\ \\ \\ \boxed{\boxed{\bold{Answer:4x+13}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy \ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Final answer:

To find f(8) for f(x) = 2x - 7, plug 8 into the equation and simplify: f(8) = 2(8) - 7, which equals 9.

Explanation:

To find the value of the function f(x) at x = 8, you simply substitute the value of 8 into the function. Given f(x) = 2x - 7, substituting 8 for x gives us:

f(8) = 2(8) - 7

Now, multiply 2 by 8:

f(8) = 16 - 7

Then, subtract 7 from 16:

f(8) = 9

Therefore, the value of the function f(x) when x = 8 is 9.

Answer: A

put x = 3 into f(x)=6x and you get f(x) = 18

Put x = 4 into f(x) and you get f(x) = 24

Subtract those two. 24 - 18 = 6

Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.

Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,

6(x+1) = 6x + 6.

+6, it increases.

Answer:C: f(x) increases by factor of 9

Step-by-step explanation:

Answer:

The median is 9.5 and the mean is 9.6667

Step-by-step explanation:

Answer: [tex]8mm,\ 41cm,\ 790dm,\ 788m,\ 537km[/tex]

Step-by-step explanation:

To solve this problem you must:

1. Write the lenghts given in the problem in the same units.

2. Let's convert all the units to meters. Then:

537 km to m:

[tex](537km)(\frac{1,000}{1km})= 537,000m[/tex]

790 dm to m:

[tex](790dm)(\frac{1m}{10dm})=79m[/tex]

41 cm to m:

[tex](41cm)(\frac{1m}{100cm})=0.41m[/tex]

8 mm to m:

[tex](8mm)(\frac{1m}{1,000mm})=8*10^{-3}m[/tex]

Now you rewrite them in increasing order:

[tex]8mm,\ 41cm,\ 790dm,\ 788m,\ 537km[/tex]

Answer:

The correct order is,

8mm, 41 cm, 790 dm, 788m, 537 km

Step-by-step explanation:

It is given some measures of lengths

537 km, 790 dm, 41 cm, 8 mm, 788 m

Convert this into single unit

we can convert this into Meter

1). 537 km = 537000 m

2). 790 dm = 79 m

3). 41 cm = 0.41 m

4). 8 mm = 0.008 m

5). 788 m = 788 m

From this we get the correct order,

8mm, 41 cm, 790 dm, 788m, 537 km

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{\underline{I}nterest varies with \underline{b}alance}}{I=kb}\qquad \qquad \textit{we know that } \begin{cases} b=200\\ I=12.5 \end{cases} \\\\\\ 12.5=k200 \implies \cfrac{12.5}{200}=k\implies \cfrac{~~\frac{125}{10}~~}{\frac{200}{1}}=k\implies \cfrac{125}{10}\cdot \cfrac{1}{200}=k \\\\\\ \cfrac{1}{16}=k \qquad \qquad \textit{therefore}\qquad \boxed{I=\cfrac{1}{16}b} \\\\\\ \textit{when b = 500, what is \underline{I}?}\qquad I=\cfrac{1}{16}(500)\implies I=\cfrac{125}{4}\implies I=31.25[/tex]

if the die has six sides, the probability that he will roll 2 again is 1/6 since there’s only one 2 out of the six sides

The probability jack will get 2 on the next roll is 1/6.

It is the ratio that determines how likely a certain event can occur within a set of possible events.

The given dice has 6 sides.

The number 2 occurs only on one side of a die.

Therefore, if he were to roll the dice one more time, the probability that he would get 2 can be given by 1/6.

Therefore, the probability that jack will get 2 on the next roll is 1/6.

Learn more about probability  here: https://brainly.com/question/24756209

#SPJ2

Answer:

>

Step-by-step explanation:

12 s bigger thn 10.

Answer:

>

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The absolute value always returns a positive result, however the expression inside can be positive or negative, that is

4x - 1 = 7 OR 4x - 1 = - 7

4x - 1 = 7 ( add 1 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2

OR

4x - 1 = - 7 ( add 1 to both sides )

4x = - 6 ( divide both sides by 4 )

x = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

Solutions are x = - 1.5 or x = 2