The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please

Answer:

C

Step-by-step explanation:

You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]

Cancel (x - 4)³ on numerator with (x - 4)² on denominator

leaving (x - 4) on numerator and 1 on denominator

= (x - 4)(3x + 6) → C

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

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

4a² × 7[tex]a^{\frac{1}{2} }[/tex]

= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]

= 28[tex]a^{\frac{5}{2} }[/tex] → B

This expression 40=4+(n-1)3 represents the correct arithmetic progression.

What is an arithmetic progression?

Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.

We have,

4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40

Arithmetic progression formula:

                             [tex]a_{n}=a_{1}+(n-1)d[/tex]

where

[tex]a_{n}[/tex] = the nᵗʰ term in the sequence

[tex]a_{1}[/tex] = the first term in the sequence

[tex]d[/tex] = the common difference between terms

By using arithmetic progression formula we can find last term of an Arithmetic series.

                    [tex]a_{n}=a_{1}+(n-1)d[/tex]

                    [tex]a_{n}[/tex]= 4 + (n-1)3

                    [tex]a_{n}[/tex] = 4 + (13-1)3

                     [tex]a_{n}[/tex]  = 40.

we have calculated the last term by using arithmetic progression formula which is 40.

Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.

To learn more about arithmetic progression from the given link,

https://brainly.com/question/24191546

#SPJ1

Answer:

Step-by-step explanation:

27x3=81

Answer:

It's 3 hope it's help....

Answer:

Option B is correct answer

Steps are in the attachment.

Note :-

=》2 is taken as negative & also taken out of the square root as it's the common factor.

______

⚜ Hope it helps :))

Answer:

7 inches

Step-by-step explanation:

5 square + 5 square=50

the square root of 50 is 7.07

7.07 to the nearest whole number is 7

Answer:

7 Inches

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

5² + 5² = c²

50 = c²

[tex]\sqrt{50}[/tex] = c

c = 7.07

ROUND

c = 7 inches

Answer:

slope = 4, y- intercept = - 35

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y = 8x - 70 ( divide through by 2 )

y = 4x - 35 ← in slope- intercept form

with slope m = 4 and y- intercept c = - 35

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

learn more on compound interest here: https://brainly.com/question/18456266

Answer:

5

Step-by-step explanation:

trust

Answer:

(4+6)/(2•1)

(4+6=10)/(2×1=2)

10÷2

5

Answer:

p(0)= -7

Step-by-step explanation:

It will take 3 years and 4 months to accumulate $ 28,500.

To determine, if an amount of $ 25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $ 28,500, the following calculation must be performed:

Therefore, it will take 3 years and 4 months to accumulate $ 28,500.

Learn more in https://brainly.com/question/23251895

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

Answer:

$105

Step-by-step explanation:

Turn 25% to decimal

25% = 0.25

Now multiply it to 140

140 x .25

= $35

The discount price is 35$

Now subtract it to 140

140 - 35

= $105

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; Comprehending and Solving.

I'll start off with Comprehending.

Comprehending

We can start solving the problem by setting up an equation to help us solve the problem.

We know the original price is $140 and we get a 25% off.

We also know that 25% is equal to [tex]\frac{1}{4}[/tex].

Hence we can solve for this by multiplying [tex]140*\frac{1}{4}[/tex].

Solving

We can solve the problem by using the equation that we found out above.

We can use algebra to find out and simplify it!

[tex]140*\frac{1}{4}= x\\70*\frac{1}{2}=x\\x= 35[/tex]

But wait! We have only found out what 25% of $140 is, we still need to subtract it from the original equation.

$140-$35=$105

We've gotten our answer of $105.

Cheers!!

Answer:

Step-by-step explanation:

The investment was

20(£15.98) = £319.60

After the sale, they want to have

£319.60 + £135.00 = £454.60

Which means each suit sells for

£454.60/20 = £22.73

The markup was

£22.73 - £20.00 = £2.73

which as a fraction of the purchase price is

£2.73/£20.00 = 0.1365

0.1365(100) = 13.65%

Answer:

16 road trips

Step-by-step explanation:

Answer:

15 pairs

Step-by-step explanation:

total:$20

cat food: $8:50

two pair of socks: $1.50

$20 - $8.50= $11.50(the rest of the money)

the rest is divided by the price of the socks to obtain how may socks you can pay with $11.50.

$11.50÷$1.50≈ 7.6

Now you multiply 7.6 by two to get the exact amount of socks with the offer.

7.6×2≈15.2

15.2≈15

So with $11.50 you will buy 14 socks for 1.50 every two pairs and a pair for 0.75

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]

To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex].  Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.

[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]

[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:

[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]

Next, we can subtract 1 from both sides to further simplify the left side:

[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]

Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left.  Anything multiplied by 0 = 0, so now we have:

x = 0

7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0

Answer:

124.409

Step-by-step explanation:

sana makatulong sa inyong lahat

Answer:

the only number would be 5

Step-by-step explanation:

5 is the first and only prime multiple of 5

There are only ''one'' prime number are multiples of 5.

What is Prime number?

Prime numbers are number that have only two factors, 1 and themselves.

Given that;

The prime numbers multiples of 5.

Now,

The multiples of 5 = 5, 10, 15, 20, 25, ...

But there are only one prime number (that is; 5) which are multiple of 5.

Thus, There are only ''one'' prime number are multiples of 5.

Learn more about the prime number visit:

https://brainly.com/question/145452

#SPJ2

Answer:

son 26 age

Father 58 age .........

Answer:

x=9

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons

Answer:

7.6m

hope this helps :)

40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:

Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

Learn more in https://brainly.com/question/1012696

Answer:

3?

Step-by-step explanation:

is this a trick question..

24/8=3 cm

So a rat is 3 cm times as long as a mouse

Answer:

1

Step-by-step explanation:

Perpendicular lines always have the opposite slope (meaning that you have to switch the numerator and denominator) and sign when comparing to the given equation.

To start off, convert the equation to be formatted into y=. You do this by first subtracting the 3x from both sides of the equation so that it now reads 3y=-3x-273y=−3x−27 . Now, divide the whole equation by three in order to get rid of the value attached to the y. The equation should now read to be: y=-x-9y=−x−9 . Now, just switch the the slope into its opposite (which is the reciprocal) and switch the negative sign into a positive.

Answer:

y = x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then

y = x ← equation of line

Answer:

It must be C.

Step-by-step explanation:

x² - 9 = 16

=> 16 + 9 = x²

=> 25 = x²

=> x = 5

Referring to the options, C is the only one that is accurate to me. Hoped this helped.