Factorise the following expression :​

Answer:

Hope this helps! If I can have brainliest I'm trying to rank up.

Step-by-step explanation:

3.4 is 100 times more than 0.034.

0.034 is 1/100 of 3.4.

We look at the statements about the values of 0.034 and 3.40 are true.

0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .

So, 3.4 is 100 times more than 0.034.

3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .

So, 0.034 is 1/100 of 3.4

Answer:

17.85% for 1 year

Step-by-step explanation:

Answer:

C = dπ

37.68 = d(3.14)

d = 12 inches

2r = d

2r = 12

radius = 6 inches

Answer:

D. 6099.97

Step-by-step explanation:

I took the quiz

Answer:

222 ft

Step-by-step explanation:

add 15 ft to each side of the length and width

L = 28 + 30 = 58

W = 23 + 30 = 53

perimeter = 2(L + W) = 2(58 + 53) = 222 ft

Answer:

222 ft

Step-by-step explanation:

The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing

Answer:

Step-by-step explanation:

Answer:

we need a picture to answer the question correctly

Step-by-step explanation:

Explanation:

Every time the top numbers go up by one ...

The bottom numbers go up by two.

Step-by-step explanation:

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

P≈28068.32

Step-by-step explanation:

Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

We have given that,

Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.

We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.

[tex]A=Pe^{rt}[/tex]

A=46000, t=13  ,r=0.038

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]

[tex]P=\frac{46000}{e^{0.507}}[/tex]

[tex]\quad P=27705.78944[/tex]

Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

To learn more about the account balance visit:

https://brainly.com/question/2151013

#SPJ2

Answer:

23 because i know it i have done that

Step-by-step explanation:

Answer:

x = + 7 or -7

Step-by-step explanation:

61 base 8 = 6*8+1 base 10 = 49

x^2=49

x = + 7 or - 7 base 10

x = + 7 or -7 base 8

Answer:

the measure of what?????

Answer:

y-3=x

so the value of y is 3 more than x. displaying the drop down menu would help narrow down the options, but I hope this helps

Answer:

77

Step-by-step explanation:

Answer:

theres no graph though...

Step-by-step explanation:

id love to help

Answer:

Step-by-step explanation:

root(23) - 8 < root(23) - 3      -3 is greater than -8

3 root(62) > 3 root(59)          62 > 59  Since the numbers are positive the roots of the larger number is going to be larger than the roots of the smaller number

-root(50) < - 3

The root of 50 is about 7. - 7 is smaller than - 3. Think money. Would you rather pay 3 dollars for a cup of coffee than 7 dollars for a cup of coffee?

root 15 + 2  < root(65) - 1

root(15) is roughly 4 when 2 is added to it, the result is about 6

root (65) is a touch over 8. When 1 is subtracted the result is about 7.

That's larger than the left side.

Answer:

Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.

Step-by-step explanation:

Your welcome :)

Answer:

4e²f(5e³f-4)

Step-by-step explanation:

Answer:

sorry I've confused myself now and I don't want to give you a wrong answer

Step-by-step explanation:

I don't know exactly but I have gotten decrease

Answer:

decay decrease 4%

Step-by-step explanation:

Just did it on deltamath

Answer: t= 0.9

Step-by-step explanation:

3.6+t=4.5

Subtract 3.6 from both sides

This is hella easy got more like these if so keep em coming

Answer:

Step-by-step explanation:

h and c are the numbers of hamburgers and cheeseburgers, respectively.

“a combined total of 486 hamburgers and cheeseburgers”

h + c = 486

“64 fewer cheeseburgers sold than hamburgers”

c = h - 64

Substitution:

h + (h-64) = 486

2h = 550

h = 275

275 hamburgers were sold

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

7.5 * 10 ^- 4

Step-by-step explanation:

Answer:

3 busses and 5 vans

Step-by-step explanation:

3 x 51 = 153

193 - 153 = 40

40 / 8 = 5

Answer: The cost to rent bowling shoes is $2.

Step-by-step explanation:

Let's define:

S = cost for renting bowling shoes.

G = cost per game.

Then if you rent shoes, and play x games, the total cost is:

C = S + x*G

We know that Sarah rented the shoes and she played 3 games, paying a total of $9.50, then:

C = $9.50 = S + 3*G

We also know that Connor rented the shoes and played 5 games, with a total cost of $14.50

C = $14.50 = S + 5*G

Then we have a system of equations.

$9.50 = S + 3*G

$14.50 = S + 5*G

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate S in the first one:

S = $9.50 - 3*G

Now we can replace this on the other equation:

$14.50 = ($9.50 - 3*G) + 5*G

$14.50 - $9.50 = 5*G - 3*G

$5 = 2*G

$5/2 = G

$2.50 = G

Then each game costs $2.50

The cost to rent bowling shoes can be found with any of the two equations, for example i will use:

S = $9.50 - 3*G

Where we replace G by the value we found above.

S = $9.50 - 3*$2.50 = $2

S = $2.

The cost to rent bowling shoes is $2.

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³