The formula for the area of a triangle is A = 1/2bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 328 mm^2 and the height is 16 mm, what is the measure of the base?

Answer:

41

Step-by-step explanation:

You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.

However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.

-7+52=45

45-4=41

The answer is 41!

Hope this helps!

Answer:

D

Step-by-step explanation:

So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.

To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:

[tex]x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.

Plugging in all into the equation, we have:

[tex]x_n=-7+4(d-1)[/tex]

So, to find the 13th term, use 13 for n:

[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]

Simplify:

[tex]x_{13}=-7+48\\x_{13}=41[/tex]

So, the 13th term is 41.

The answer is D.

Answer:

C

Step-by-step explanation:

We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.

Answer:

C - with explanation

Step-by-step explanation:

First, when you graph an inequality that uses a < or > it's plotted with a dashed line to show the line isn't included in the region.

Inequalities with a [tex]\leq or \geq[/tex] are plotted with a solid line to show the line is included in the region.

You can eliminate B and D because they are showing a graph using < or >

Now we know it's either A or C.

To figure out each, let's pick 4 random points, one in each quadrant and color.

Let's pick (3,3) (3, -3) (-3,3) (-3,-3) For an easier visual they would be

                              |                              

            (-3,3)          |    (3,3)                              

      ___________|____________                                                                                                                                

                              |                                  

           (-3,-3)          |     (3,-3)                          

                              |                            

Plus in the values for each inequality:

(3,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 3 +[tex]\geq[/tex] 2(3)                              3(3) - 3

                 3 + 6 = 9                            9 - 3 = 6

                 9 is not [tex]\leq[/tex] to 4                    6 is [tex]\geq[/tex] 2

So this is a valid point because it works in the 2nd equation.

We got lucky and the first point we chose eliminates option A because (3,3) is a point that works and option A shows that area as being "out of bounds."

To test option C let's pick a point in the undefined area. Let's choose (-1,3)

(-1,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 -1 +[tex]\geq[/tex] 2(3)                           3(-1) - 3

                 -1 + 6 = 5                            -3 - 3 = - 6

                 5 is not [tex]\leq[/tex] to 4                    -6 is not  [tex]\geq[/tex] 2

So this point in the white area is not valid for either inequality.

Now we know for sure the correct option is C.

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Answer:

pounds

Source:

Trust me bro

Answer:

$84

Step-by-step explanation:

So, if the store is selling the bicycles at a 30% discount, that means that the bike is at 70% of it's original value. SO we can do 120*.7=84.

Answer:

4-40-15=-21

Step-by-step explanation:

you just replace x and y for the given numbers in this problem

Answer:0

Step-by-step explanation:2 4ac

2×4×-2×0=0

Answer:

17 1/4 lb = 17.25 pounds

Step-by-step explanation:

Karl bought

Beef=8 17/25 lb

Pork= 17 1/4 lb

Express the number of pounds of pork he bought using a decimal

Pork= 17 1/4 lb

1 lbs to pound = 1 pound

17 1/4

= 69/4

=17.25 pounds

Alternatively

17 whole number

1/4=one quarter=0.25

Now 17 + 0.25

=17.25 pounds

Beef=8 17/25 lb

Beef to pound in decimal

8 whole number

17/25=0.68

8+0.68 = 8.68 pounds

Beef= 8.68 pounds

Pork=17.25 pounds

Answer: C: Expression B and D

Step-by-step explanation:

Say the item is $100. 20% of 100 is equal to 100 (20/100)

When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.

So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.

Now plug in 100 for p in each equation. The equation that equals 80 is the answer.

Only equation B and D equals 80 when 100 is plugged in.

Answer:

Area of both triangles = 8*5 = 40

Rectangle Area = 8*18 = 144

Semi Circle Area = Pi*r^2 / 2 = (3.14159*81)/2 = 127.34

40 + 144 + 127.34 = 311.34 square feet

answer is B

Step-by-step explanation:

Answer:

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

Step-by-step explanation:

Given

[tex]y = 25x + 65[/tex]

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

Solving for the range;

When x = 9

[tex]y = 25 * 9 + 65[/tex]

[tex]y = 225 + 65[/tex]

[tex]y = 290[/tex]

When x = 10

[tex]y = 25 * 10 + 65[/tex]

[tex]y = 250 + 65[/tex]

[tex]y = 315[/tex]

When x = 11

[tex]y = 25 * 11 + 65[/tex]

[tex]y = 275 + 65[/tex]

[tex]y = 340[/tex]

You continue till you get to x = 16

---

--

-

When x = 16

[tex]y = 25 * 16 + 65[/tex]

[tex]y = 400 + 65[/tex]

[tex]y = 465[/tex]

Hence; the range is

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

Answer:

x is 49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

i just took the test

Answer: 24th

7-14-21

3-6-9-12-15-18-21

plus the three extra days gets you the 24th

I don't get it, what are you suppose to do?

Answer:

C AND D

Step-by-step explanation:

KHAN ACADEMY.

C: c(n)= 64(1/2)^n for n greater than or equal to 3

D: d(n)= 128(1/2)^n for n greater than or equal to 4

The correct series is being generated by options B and D

A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.

The given series is 8 , 4 , 2 , 1......

Here, we should check the options one by one

So, option A is wrong.

So, option B is correct.

Hence option C is wrong.

So, option D is correct.

Find more about "Geometric Series" here: https://brainly.com/question/24643676

#SPJ2

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\blue\star[/tex]a1 = 9. eq1

[tex]\blue\star[/tex]a2 = 17. eq2

Firstly we have to find d

[tex]\blue\star[/tex]d = a2 -a1

we dont have a2 so we can do this by other method

split a3 into a+2d

Now add equation 1 and 2

[tex]\blue\star[/tex] a+a+2d = 17 +9

[tex]\blue\star[/tex] 18 + 2d = 26. [we have a = 9]

[tex]\blue\star[/tex] 2d = 8

[tex]\blue\star[/tex] d = 4

Now we have to find a5

[tex]\blue\star[/tex] a5 = a+(n-1)d

[tex]\blue\star[/tex] a5 = 9 + (5-1)4

[tex]\blue\star[/tex] a5 = 25

now we can easily find s5

[tex]\blue\star[/tex]s5 = n\2(a+l)

[tex]\blue\star[/tex] s5 =5\2(9+25)

[tex]\blue\star[/tex] s5 = 85

[tex]\huge\boxed{S5 = 85}[/tex]

Check

s5 = a1 + a2 + a3 +a4 +a5

s5 = 9 +13+17+21+25= 85

Hope it helps

The sum of the arithmetic sequence [tex]S_5=85[/tex]

Explanation :

Arithmetic series, a1 = 9, a3 = 17

We need to find out sum of 5 terms

The formula to find sum of arithmetic series is

[tex]S_n=\frac{n}{2} (2a+(n-1)d)[/tex]

where 'a' is the first term

'd' is the common difference and n is the number of terms

a1=9,, first term is 9

formula for nth term is [tex]a_n=a_1+(n-1)d[/tex]

a3=17, it means third term is 17

lets find out 'd' using third term

[tex]a_3=a_1+(3-1)d\\17=9+2d\\17-9=2d\\8=2d\\d=4[/tex]

So value of d=4

Now use sum formula to find out S5

[tex]S_n=\frac{n}{2} (2a+(n-1)d)\\n=5, d=4, a_1=9\\\\S_5=\frac{5}{2} (2(9)+(5-1)4)\\S_5=\frac{5}{2}\cdot \:34\\S_5=85[/tex]

Learn more : brainly.com/question/12733379

Answer:

0.2 miles

Step-by-step explanation:

Given that Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Jonah must have covered a distance of;

Distance = speed × time

Distance = 6 × 5/60

Distance = 0.5 miles

Distance covered in 12 minute will be

Distance = 6 × 12/60

Distance = 1.2 miles

Total distance covered by Jonah will be 0.5 + 1.2 = 1.7 miles

Sory jogging from the same place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour.

If Sory jogs for 12 minute, then sory distance covered will be

Distance = speed × time

Distance = 7.5 × 12/60

Distance = 1.5

The distance between Jonah and Sory will be:

1.7 - 1.5 = 0.2 miles

Therefore, they are 0.2 miles apart after 12 minutes

Answer:

Step-by-step explanation:

[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]

Answer:

7x

Step-by-step explanation:

it is quite clear and also very easy look...

8x -1x = 7x

                 whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations

so easy hope you found it helpful

plz rate and mark the brainliest if you found it helpful....

Answer:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Step-by-step explanation:

Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:

[tex]y = 4.9t^2[/tex]

To find:

Object's average speed during the first 4 seconds ?

Instantaneous speed at t = 4 seconds

Solution:

Average speed of a moving object is given by, Total Distance covered divided by Total time taken.

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]

[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]

Now, let us put the values in the formula:

[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]

For instantaneous speed, we need to differentiate y w.r.to t:

[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]

Now, let us put t = 4 seconds

Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s

The answers are:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

X= -4, so when you plug it in and solve the problem you'll get x= -17 Reason: 3(-4)= -12+ -5 Which equals -17.

Answer:

x≤−3 or x>−1

Step-by-step explanation:

Combine like terms

Isolate your variable x

Answer:

x<-3 or x>1

Step-by-step explanation:

you would just subtract 1 from both sides on the first one so you get 5x<-15 which can be x<-3 and for the second one -4x+6<10 subtract 6 so you get -4x<4 and divide by -4 which is x>1

Answer:

p= -80

Step-by-step explanation:

DON'T FORGET TO INCLUDE THE NEGATIVE

1. Isolate the p

2. Bring the .6 to the other side by doing the opposite. In this case adding.

3. You now should have -0.07=5.6

4. You are going to continue to isolate the variable.

5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)

6. You are going to divide both sides by -0.07. Which would give you -80.    

DON'T FORGET TO INCLUDE THE NEGATIVE

Answer:

A.20_ 3=17..

option A is the answer

Answer:

A) 20 - 3

Step-by-step explanation:

20 - 9÷3

Use PEMDAS.

First Division should be done

So, 20 - 9÷3 = 20 - 3

Answer:

It would be  -13.6

Step-by-step explanation:

I used my calculator for this,  

-24.65 +25 - 46.75 + 32.80 = -13.6

Answer: y=-2/3x+3

hope this helped

Answer:

  (a) more

  (b) less

  (c) more

  (d) greater

  (e) Left to right: Susan, George, Antonio, Maria

Step-by-step explanation:

When a point total is lower, more points are needed to stay in the game.

__

(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.

__

(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.

__

(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.

__

(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.

__

(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.

_____

* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.

The problem is poorly worded. The answer choices above are consistent with the problem statement overall.

Answer:each sister get will get $525

Step-by-step explanation:

1st step

Eric and his sisters shared amount x in the ratio 2:7

total ratio = 2+7 = 9

2nd step ;

Total amount of money shared since Eric received $300

(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric

2/9 x X= 300

X=(300 x 9) / 2 = $1,350

Total money = $1,350

3rd step:

two sisters will receive

(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters

7/9 x $1,350 =  9,450/9 = 1,050

share of two sisters= $1050

if they share equally , each will receive  $1050/2 = $525