Which expression is equal to 0.75×0.09

Answer:

x = 3

Step-by-step explanation:

using the rule of exponents

[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]

[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]

[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]

suince the bases on both sides are equal, then equate the exponents

2x = 9 - x ( add x to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

12 is the polynomial degree

Answer:

B. y=-x-3

Step-by-step explanation:

[tex]f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\[/tex]

So,

[tex]f(x) = - x - 3 \\ y = - x - 3[/tex]

Hope it helps

Equation in point slope form

500+350.26+568.45+480.34+649.90 = $2548.95

hope it really helps...!!!

The probability of drawing a blue marble is the likelihood of blue marbles

The experimental probability of drawing a blue marble is 3/14

The probability of drawing a blue marble is calculated using:

P(Blue) = Blue/Total

So, we have:

P(Blue) = 12/(20 + 24 + 12)

Evaluate the sum

P(Blue) = 12/56

Simplify

P(Blue) = 3/14

Hence, the experimental probability of drawing a blue marble is 3/14

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Answer: 3/14

Step-by-step explanation:

Answer:

x° = 37.13°

Step-by-step explanation:

13.4 = cathetus opposite the angle "x°"

22.4 = hypotenuse

[tex]sin(x^{o}) =\frac{13.4}{22.2}=0.6036[/tex]

[tex]x^{o} =sin^{-1} (0.6036)=37.13^{o}[/tex]

Hope this helps

1

hope it helps....!!!!!

Answer:

f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

A=hbb

2

Solving forhb

hb=2A

b=2·12

6=4ft

Answer:

a

Step-by-step explanation:

The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

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

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]

This rounds up to $1114.91

Answer: $16

r=remainder

s=spent

r'=final remainder

160

160-(160 x .20) = r OR 160 x .80 = r

160-32 = r = 128 = 160 x .80 =

Then , 7/8 is lost so:

128 - (7/8 x 128) :

7/8=.875

128-(.875 x 128)

Using PEMDAS:

128-(112):

128-112= $16

Answer:

2.39 meters

Step-by-step explanation:

Given:

Circumference:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Therefore:

[tex]\displaystyle \large{15.03=2\pi r}[/tex]

Divide both sides by 2π:

[tex]\displaystyle \large{\dfrac{15.03}{2\pi}=\dfrac{2\pi r}{2\pi}}\\\displaystyle \large{2.3920... = r}[/tex]

Round to nearest hundredth:

[tex]\displaystyle \large{r=2.39}[/tex]

Therefore, the radius is 2.39 meters

Answer: B

Step-by-step explanation:

The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

here, we have,

In the graph, we can see two asymptotes at x = 1.

This means that the denominator is equal to 0 when x = 1, then we can write:

f(x) = A/(x - 1)

Where we can start thinking that A is a constant.

Now we also can see that when x = 2, f(2) is equal to 1, or:

f(2) = 1.

Then:

f(2) = 1   = A/(2 - 1) = A/1

Then we have  A = 1.

Then our function is:

f(x) = 1/(x - 1)

Hence, The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

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Answer:729

Step-by-step explanation: volume is base area × height

Base area = 9×9

Volume =9×9×9

Answer:

  x + y = 3

Step-by-step explanation:

The equation of a line through two points can be found using the 2-point form for the equation of a line:

  y -y1 = (y2 -y1)/(x2 -x1)(x -x1) . . . . . line through points (x1, y1) and (x2, y2)

__

  y -5 = (1 -5)/(2 -(-2))(x +2) . . . . using points (-2, 5) and (2, 1)

  y -5 = (-4/4)(x +2)

  y -5 = -(x +2) . . . . . . equation in point-slope form

  y -5 = -x -2

  y = -x +3 . . . . . . . . . equation in slope-interept form

  x + y = 3 . . . . . . . . . equation in standard form

Answer:

now let's answer this question:

Step-by-step explanation:

1) False

the power 2 spoiled everything.

2) False

like therms aren't always polynomials.

3)False

it's doesn't always come out as diff. of two squares.

4)True

1x+3x =4x ( imagine 1 + 3 = 4 s) ( sum means "add up").

5)False

the O in FOIL means "outer" or "outside" (tip: FOIL means "First", "Outside", "Inside", "Last").

6) True

we can't add them together, they're "unlike terms".

7)True

"Z" is missing in the first term

8) False

they're were multiplied which means they become one term now.

9)Trueeee

having a negative symbol doesn't change nothing

10)False

it's will still take the power it came with which is "2"

e.g 3^2 x 4^2 = 12^2 ( not 12^1 ).

Hope it helps...

thanks

Answer:

She drinks 4.5 oz in 1 hour.

Step-by-step explanation:

First,

1/2 of 6 would be 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2 / 3 hr

Multiply both sides by 3 to get 2 alone.

3*(3 oz) = 3*(2/3 hr)

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hours.

9 / 2 oz = 2 / 2 hrs

Divide both sides by 2 so you can get how much she drinks in one hours

4.5 oz = 1 hr

Check the picture below.

so the wall is 146 inches wide, half of that is 73 inches.

the painting is 30 and 1/2 inches wide, half that is 15 and 1/4 inches.

if we subtract half the width of the painting from half the wall's width, the center of the painting will match the center of the wall.

[tex]73~~ - ~~15\frac{1}{4}\implies 73~~ - ~~\cfrac{61}{4}\implies \cfrac{292~~ - ~~61}{4}\implies \cfrac{231}{4}\implies 57\frac{3}{4}[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]

Answer:

15g-h is the answer......

As x increases, y decreases.

Hey there!

10w + 40 < 450

SUBTRACT 40 to BOTH SIDES

10w + 40 - 40 < 450 - 40

SIMPLIFY IT!

10w < 450 - 40

10w < 410

DIVIDE 10 to BOTH SIDES

10w/10 < 410/10

SIMPLIFY IT!

w < 410/10

w < 41

(Your graph is shown below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Essentially, we want to find the number of ounces of dough she used to measure:

   ⇒ which means that we must convert the:

      ⇒ grams of dough to ounces of dough

        ⇒ 28.6 grams  = 1 oz

Essentially,we can set up a proportion:

    ⇒ 28.6 grams to 1 oz

        ⇒ is to 200.2 grams to 'x' oz

  (mathematically)

   [tex]\frac{28.6}{200}=\frac{1}{x} \\28.6x = 2000\\x = 6.99[/tex]

Thus 200.2 grams is to 7 oz (rounded)

Answer: 7 ounces

Hope that helps!

Answer:

With Outlier:

Median: 85
Mean: 103
Mode: 85

Without Outlier:
Median: 85
Mean: 85
Mode: 85

Step-by-step explanation:

Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.

Yes the pre image and image are congruent always

See

They are transformed through a constant scale factor so they ought to be same .

And

If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence

Answer:

9.5 * 10^23 molecules of HCl

Step-by-step explanation:

just a note this might be better to put in the chem section next time since this is a stoichiometry question

the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol

to find the number of moles, divide 100 by 65.457

then multiply the number of moles by 6.22 * 10^23 to get the number of molecules

[tex]100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules[/tex]

the 8th term of the geometric sequence 8, 16, 32 is 1024

first we have to find the ratio

r=2

then, we have to find the 8th term

U8=1024

Answer:

It should be 2/5 hours. 4/5 - 2/5 is 2/5.

Step-by-step explanation:

The sequence 15, 18, 108/5 is a geometric sequence

The value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

The sequence is given as:

15, 18, 108/5

The above sequence is a geometric sequence with the following parameters:

First term, a = 15

Common ratio = 18/15

The nth term of a geometric sequence is:

an = a * r^(n - 1)

So, the 7th term is:

a7 = a * r^6

This gives

a7 = 15 * (18/15)^6

Evaluate

[tex]a_7 = 44\frac{2468}{3125}[/tex]

Hence, the value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

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