find the surface area of the triangular prism below.

Answer:

53

Step-by-step explanation:

—19 + 12 = —7

—7 + 12 = 5

5 + 12 = 17

.

.

.

so the n term of the sequence will be: 12n — 31

so 7th term will be: 12 × 7 — 31 = 53

Answer:

d. 53

Step-by-step explanation:

increases 12 units at each step:

17 + 12 = 29

29 +12 = 41

41 + 12 = 53  (7th term)

Hope this helps

looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0

let's try the 1st set

0 ⩽ - 2(0) + 3

0 ⩽ 3  <--- is that true? well yes, zero is less or equals, actually less than 3

0 ⩽ 0 + 3

0 ⩽ 3 <--- is that true? yes it's

let's try the 2nd inequalities set with the same values for "x" and "y"

0 ⩾ -2(0) + 3

0 ⩾ 3 <--- is that true? nope, no dice

let's not bother checking the other, since it already gave FALSE

let's try the 3rd inequalities set, same values

0 ⩽ -3(0) + 2

0 ⩽ 2  <--- is that true? yeap

0 ⩽ -(0) + 2

0 ⩽ 2 <---- is that true? yeap

not to bother you with the 4th set one, the 4th one fails and gives FALSE

so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?

take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.

that means that  g(x) will look like -1x + something, or -x + something.

and means that f(x) will look like -3x + something.

so that means the only set with those slopes will be    [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]

Answer:

t=6.8

Step-by-step explanation:

t=2.01[squareroot(L)]

L=11.56

t=2.01[squareroot(11.56)]

t=2.01(3.4)

t=6.834

(round to nearest tenth)

t=6.8

The number of surveyed nurses that were health club members or were smokers is 316.

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

Learn more on set notation here: https://brainly.com/question/24462379

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]

    ok done. Thank to me :>

Answer:

Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.

Step-by-step explanation:

Just took the Quiz <3

Answer:

angle x is equal to 60º so its an acute angle

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these

180-120=60

Answer:

2^5, 6^2 ,3^4, 5^3

Step-by-step explanation:

6^2 = 36

3^4 = 81

2^5 = 32

5^3 = 125

Answer:

Step-by-step explanation:

Answer:

See below for answers

Step-by-step explanation:

1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.

2) Reduce the polynomial and use the Zero Product Property:

[tex]0=6x^3+25x^2-24x+5[/tex]

[tex]0=(6x^2-5x+1)(x+5)[/tex]

[tex]0=(3x-1)(2x-1)(x+5)[/tex]

[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]

Answer:

10[tex]sin^{2} ([/tex]β[tex])[/tex]

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10[tex]sin^{2} ([/tex]β[tex])[/tex] on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10[tex]sin^{2} ([/tex]β[tex])[/tex].

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10[tex]sin^{2} ([/tex]β[tex])[/tex] cos(β)

But since cos(β) is already present, we can see that the answer is 10[tex]sin^{2} ([/tex]β[tex])[/tex]

Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis

Answer:

Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.

Step-by-step explanation:

at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.

[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 &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]

[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]

Answer:

both of your answers are b

Step-by-step explanation:

20. difference means subtract

21. assosiative property has to deal with three numbers while communitive is 2 numbers

Answer:

x=5

Step-by-step explanation:

there is no y intercept

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\mathbf{Amphitrite1040:)}[/tex]

Answer: 69

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The x coordinate of vertex J and L are same of x= -2, JL // Y axis

Height is the perpendicular segment (KD) from K to JL, KD // X axis

area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18

Answer:

3

Step-by-step explanation:

20*.15=3

Answer:

hello what the answer is B 3 because i knowdis that the answer is correct how i know is because i done it a piece of paper and my answer that i got was B

Step-by-step explanation:

Answer:

-64/5

Step-by-step explanation:

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

Answer:

n = -5

Step-by-step explanation:

Form this quotient, representing the number by n:  n / (-8) = 5/8.

Solve this equation for n by multiplying both sides by 8:  -n = 5.  Then n = -5

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!

708 ml

When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.

Answer: 5

Step-by-step explanation:

because idek sorry

Answer:

q

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.

I have no way of knowing how to fix this.

Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.

the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926

or 3.926%

the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926

or 3.926%

so the price each year after new is

p = 71445(1 - 0.03926)ⁿ

or

71445(0.96074)ⁿ

where n is the number of years.

To get the monthly version, we divide the decrease by 12

p = 71445(1 - 0.03926/12)ˣ

or

p = 71445(1 - 0.00327)ˣ

or

p = 71445(0.99673)ˣ

where x is the number of months since new.

This may not be your exact answer, but the same method can be used if you get real numbers.

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.

Step-by-step explanation:

Answer:

c for lazy goofy peoplee

Step-by-step explanation:

Answer:

236.588 milliliters so the answer is 240

Step-by-step explanation:

for an approximate result, multiply the volume value by 29.574

Answer:

B,C,D

Step-by-step explanation:

24ft =288 in A IS FALSE

2 miles = 10560 ft B IS TRUE

1/2 miles = 2640 ft C IS TRUE

0.5 miles = 880 Yds D IS TRUE

0.5 ft = 6 in E IS FALSE