a package of 9 batteries cost $4.72 what is the cost per battery

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

Answer:

i think x = 17

Step-by-step explanation:

(2x-4)+(3x+20)+(5x-6) = 180°

10x+10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

Answer:

(12, 1)

Step-by-step explanation:

Arbitrarily choose y = 1.  Then x - 6y = 6 becomes

x = 6(1) + 6, or x = 12.

Thus, one (of many) point on the graph is (12, 1).

Answer:

d

Step-by-step explanation:

smallest slope

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

Here is the remainder for both. No the remainders are not equal.

Answer:

p plus 6

Step-by-step explanation:

Answer:

18° , 72° , & 90°

Step-by-step explanation:

First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°

The equation will be:

1x + 4x + 5x = 180°

10x = 180°

divide both sides by 10 to get 1x on the left side:

[tex]\frac{10x}{10} =\frac{180}{10}[/tex]

x = 18

Then plug 18 in, instead of 'x', similar to in the first step:

1(18) = 18°

4(18) = 72°

5(18) = 90°

Answer:

9 ÷ 7 + d.

Step-by-step explanation:

Answer:

GENI increased 5.1%

ONDS increased 6%

I am guessing it would be 1% increase

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

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Answer:

its 84.987

Step-by-step explanation:

Trust me im smart :)

Answer:

The correct answare should be slope of 3.

Step-by-step explanation:

Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.

Answer:

13, 9, 5, 1

Step-by-step explanation:

y = -2(-2) + 9

y = 4 + 9

y = 13

y = -2(0) + 9

y = 0 + 9

y = 9

y = -2(2) + 9

y = -4 + 9

y = 5

y = -2(4) + 9

y = -8 + 9

y = 1

[tex]y + 3 = 8y + 3[/tex]

Subtract both sides 3

[tex]y + 3 - 3 = 8y + 3 - 3[/tex]

[tex]y + 0= 8y + 0[/tex]

[tex]y = 8y[/tex]

Subtract both sides y

[tex]y - y = 8y - y[/tex]

[tex]0 = 7y[/tex]

Divide both sides by 7

[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]

[tex]y = 0[/tex]

There you go....

Ah

Have a great day ♡

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

Answer: 105k

Step-by-step explanation:

1. Multiply the number by three (35kg x 3)

2. Use your answer (105kg) and convert it to grams

3. GET YOUR ANSWER = 105k Grams

4. Therefore, Rosie weighs 105k grams

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

Please forgive me if I'm wrong but I would choose A, B, and E.

The correct equivalent function can be found by using exponent rule.

The correct option is [tex]f(x)=3(8.35^x)[/tex].

Given:

The given expression is as follows,

[tex]f(x)=3(1.7)^{4x}[/tex]

Write the exponent rule.

[tex]a^{mn}=(a^m)^n[/tex]

To simplify the given expression apply the exponent rule.

[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]

Using calculator find the value of [tex]1.7^4[/tex].

[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]

Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].

Learn more about exponent rule here:

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x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Step-by-step explanation:

we need to find how much 14/70 is equal to ? over 100

100/70=1.42857142857

14x1.42857142857=20

Therefore she drinks 20/100 she drinks before she goes on a ride.

or 20%

it's 20

I got it right on iready

Answer:

it is Ahmed shoevked more your calculations are wrong

Answer: the answer is C which is .0287

The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.

Let's use the binomial probability formula for this calculation:

The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)

p is the probability of success (rain in this case)

n is the number of trials (number of days in a week)

In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.

Now, let's calculate the probabilities for k = 0, 1, and 2:

Probability of raining 0 days in a week:

P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)

Probability of raining 1 day in a week:

P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)

Probability of raining 2 days in a week:

P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)

Now, add these probabilities together to get the probability of it raining at most 2 days in a week:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Calculate the values using the binomial coefficients:

C(7, 0) = 1

C(7, 1) = 7

C(7, 2) = 21

Now, calculate the probabilities:

P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187

P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775

P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215

Finally, add these probabilities together:

P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087

Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

So, the correct answer is (b) 0.0250.

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Answer:

  (x, y) = (6, 8) using linear combination

Step-by-step explanation:

The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.

Adding the two equations together gives ...

  (2x -y) +(-2x +3y) = (4) +(12)

  2y = 16 . . . . . . . . simplify

  y = 8 . . . . . . . divide by 2

Substituting for y in the first equation gives ...

  2x -8 = 4

  x -4 = 2 . . . . . divide by 2

  x = 6 . . . . . . . add  4

The solution is (x, y) = (6, 8).

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.