Which number is equivalent to 2−5⋅ 3 ⋅ 22 ⋅ 33

Answer:

[tex]x^2-10x+2[/tex]

Step-by-step explanation:

Given the following question:

[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]

To find the answer we need to simplify by using inverse operations and of course grouping like terms.

[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
[tex]3x^2-11x-4-\left(x-2\right)\left(2x+3\right)[/tex]
[tex]\left(x-2\right)\left(2x+3\right)=-2x^2+x+6[/tex]
[tex]3x^2-11x-4-2x^2+x+6[/tex]
[tex]3x^2-2x^2-11x+x-4+6[/tex]
[tex]-4+6=2[/tex]
[tex]3x^2-2x^2-11x+x+2[/tex]
[tex]3x^2-2x^2=x^2[/tex]
[tex]x^2-11x+x+2[/tex]
[tex]11x-x=10x[/tex]
[tex]x^2-10x+2[/tex]

Your answer is "x^2 - 10x + 2."

Hope this helps.

The mass of the substance left after 12 days is 501.51g.

Data;

This is defined as the time taken for the radioactive sample to decay to half it's initial size.

This is given as

[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda}[/tex]

where

Let's substitute the values and find the disintegration constant

[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda} \\4 = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{4}\\ \lambda = 0.17325[/tex]

But the value of a radioactive substance present at a given time is

[tex]N_t = N_o e^-^\lambda ^t[/tex]

Let's substitute the values and solve.

[tex]N_t = 7600 e^-^0^.^1^7^3^2^*^1^2\\N_t = 7600 * 0.065988\\N_t = 501.509g[/tex]

The mass of the substance left after 12 days is 501.51g.

Learn more on radioactivity here;

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Answer:

Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B

Step-by-step explanation:

Length of route A = [tex]2 \frac{1}{8} miles[/tex]

Length of route A [tex]=\frac{17}{8} miles[/tex]

We are given that route A is 3/8 mile longer than route B

Let b be the length of route B

So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]

Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B

Answer:

Rational.

Step-by-step explanation:

It can be represented as a fraction

Answer:

13.7

Step-by-step explanation:

I just did the problem

Answer:

Well if you are trying to say if they are the same then no

Step-by-step explanation:

-33≠-13

Hope this helps!

Answer:

h = 15 ft

Step-by-step explanation:

using the 2 similar triangles in the diagram then the ratios of corresponding sides are in proportion.

let h be the height of the tree

[tex]\frac{h}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 )

h = 15 ft

Answer:

80.5

Step-by-step explanation:

to find average you need to first added all your number then divide by how much numbers you added

E the anwser is c

Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.

Answer:

I believe it would be steepness only.

Please let me know if I'm incorrect :)

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

[tex]((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9[/tex]

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

[tex](3\sin(\theta))^2+(3\cos(\theta))^2=9[/tex]

We can factor out 3^2 = 9 from both equations:

[tex]9(\sin(\theta)^2+cos(\theta)^2) = 9[/tex]

We know from a trigonometric identity that [tex]\sin(\theta)^2+cos(\theta)^2 = 1[/tex], meaning we can reduce the equation to:

[tex]9(1) = 9[/tex]

[tex]9=9[/tex]

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

Answer:

what the question

Step-by-step explanation:

Answer:

x=4.5

Step-by-step explanation:

8x-3=33

8x=36

x=4.5

Answer:

4.5

Step-by-step explanation:

8x-3=33

8x-3+3=33+3

8x=36

8x/8=36/8

x=4.5

Hope this helps! Pls give brainliest!

Answer:

incorrect is They have a sum of -14

Answer:

y = -2x + 3

Step-by-step explanation:

Lines that are parallel have equal slopes but lines that are perpendicular have slopes that are opposite reciprocals.  The slope of the given line is [tex]\frac{1}{2}[/tex] so the slope of all perpendicular lines will be - 2.  The new line must pass through the point A(2, -1).  Using the formula y = mx + b and replacing y with -1 and m with -2 and x with 2 gives -1 = -2(2) + b.  This will simplify to -1 = -4 + b.  Adding 4 to both sides gives 3 = b so the equation is y = -2x+3.

Answer:

c. zero product rule

Step-by-step explanation:

apex

Answer:

19. 13

20. 6

21. 12

Step-by-step explanation:

Answer:

D. [tex]\displaystyle 8[/tex]

Step-by-step explanation:

[tex]\displaystyle -6 + 6n = 42 \hookrightarrow \frac{48}{6} = \frac{6n}{6} \\ \\ \boxed{8 = n}[/tex]

*We add six to both sides, then divide the remaining result by six, to get eight.

I am joyous to assist you at any time.

Hey there!

-6 + 6n = 42

6n - 6 = 42

ADD 6 to BOTH SIDES

6n - 6 + 6 = 42 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 42 + 6 because it help solve for the n-value

NEW EQUATION: 6n = 42 + 6

SIMPLIFY IT!

6n = 48

DIVIDE 6 to BOTH SIDES

6n/6 = 48/6

CANCEL out: 6/6 because it give you 1

KEEP: 48/6 because it help solve for the n-value (it actually give you the n-value)

NEW EQUATION: n = 48/6

SIMPLIFY IT!

n = 8

Therefore, your answer is: Option D. 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1. 90 degrees because of supplementary angles

2. 180 degrees

3. 90 degrees

4. 37 degrees, since the sum of the interior angles add to 180, 180-90-53 = 37.

5. 127 degrees, supplementary angles 180-53

6 . 23 degrees, use the triangle sum theorem 180-30-127

The Brian paid amount of every quarter is $ 4287.79.

We have given that Brian took eight years to pay off his $ 71,900 loan, had an interest rate of 8.16%, compounded quarterly,

we have to determine, if Brian paid quarterly and made the same payment every time, how much was each payment that he made,

P=71900

r=8.16

[tex]r=\frac{8.16}{100}=0.0816[/tex]

[tex]i=\frac{r}{n}=\frac{0.0816}{4}= 1.0204[/tex]

for eight years

[tex]4\times 8=32[/tex]

[tex]monthly payment=P((1+i)^n/n)[/tex]

Where p=present value

r=interest rate

m=number of compounding periods

n=m(t)

t=times in years

i=r/m

Therefore by using the formula we get,

[tex](71900 \times (1 + 0.0816 / 4) ^ {4\times8}) / (8 \times 4) = X[/tex]

[tex](71900 \times 1.0204 ^ {32}) / 32 = X[/tex]

[tex](71900 \times 1.9083) / 32 = X[/tex]

[tex]137209.2177 / 32 = X[/tex]

[tex]4287.79 = X[/tex]

Therefore, Brian paid $ 4287.79 every quarter.

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Answer:

3081.54

Step-by-step explanation:

took test 20 mins ago

Answer:

52 ft squared

Step-by-step explanation:

1. Draw the picture with measurements

2. Decompose each shape

3. Find the area of each (l*w)

4. Add each measurement up

Answer:

https://brainly.com/question/26947898?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation:

if its wrong then this

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Answer:8 5/9 meters

Step-by-step explanation:

If you get a common denominator and add, 2 4/18 + 2 1/18 + 2 1/18 + 2 4/18 you get 8 10/18 which is 8 5/9 when simiplified.

Answer:

198

Step-by-step explanation:

3x11x6=

Answer:

2 x 2 x 3 x 7

Step-by-step explanation:

2x2=4

4x3=12

12x7=84

Answer:

They don't have enough money to pay the full price so they have no option but to pay what they have in their saving account. Also as a first down payment its allowed to start from 3% and up. The much down payment the lower they will pay every month.

Step-by-step explanation:

Answer: 20 (Option C)

Step-by-step explanation: Since B is the midpoint, Just set 5x and 3x+4 congruent to eachother. After you find out x ( which is 2) just plug it in and add them to get AC.

Check the picture below.