A rectangular prism measures 2 inches by 3 inches by 2 inches. How many cubes
with edge length
inches can fit in the prism?

helppp plzzzz

The equation for the circle with a center at (-2,5) and a radius of 3 is (x + 2)² + (y - 5)² = 9.

Given that:

Center, (h, k) = (-2, 5)

Radius, r = 3

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation for the circle with a center at (-2,5) and a radius of 3 is given as,

(x + 2)² + (y - 5)² = 3²

(x + 2)² + (y - 5)² = 9

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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Answer:

y=2x+6

Hope I helped, have a nice day :)

Answer:

y=2x +6

Step-by-step explanation:

(18-12)

(6-3)

6/3 = 2

m=2

Answer:

8. Not a function, the first three are of the same pattern but not the last two

9. Not a function, each input should have only 1 output or two inputs could have one output.

Answer:

x=60°

Step-by-step explanation:

Let's say the point where angle x is, be K

Because ABCD and PQRS are paralelograms,

∡PSR = ∡PQR =130°

and

∡DAB=∡DCB=70°

and by angles between parallels

∡SPQ + ∡PQR = 180°

∡SPQ + 130° = 180°

∡SPQ = 50°

by angles opposite by vertex

∡PKC = ∡BKQ = x

So in triangle PKC the sum of all angles must add up to 180°

so

∡SPQ + ∡PKC + ∡DCB = 180

50 + x + 70 = 180

x = 60

Answer:

\(given \: that \: m \: is \: midpoint \\ then \: pm = mq \\ 3x = mq \\ pq = 30 = 2pm = 2 \times 3x \\ 30 = 6x \\ x = \frac{30}{6} = 5 \\ thak \: you\)

Answer:

i think it might be 25350¹⁷

or 2⁵x3⁴x5⁴x13⁵

Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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The square root of the number 23 is 5 after using the division method the answer is 25.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 23 which is a real number and positive number.

As we know we can find the square root of a positive numbers only, the square root of a negative number cannot exist

The square root of the number 23 = \(\sqrt{23}\)

The sign √ is a radical sign.

After using the division method:

\(\sqrt{23} = 4.7958\)

After reducing the number up to two decimal places:

\(= 4.79\)

Rounding the above number to the whole:

\(= 4.79 \thickapprox 5\)

\(5\times5 = 25\)

Thus, the square root of the number 23 is 5 after using the division method the answer is 25.

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We would choose "smaller" for the necessary sample size and "smaller" for the confidence level.

(a) We know that the margin of error E is 4.7 and the population standard deviation is o = 17.5.

The formula for the margin of error is:

E = z* (o/ sqrt(n))

where z is the critical value for the desired level of confidence, o is the population standard deviation, and n is the sample size.

We want to find n, so we can rearrange the formula to solve for n:

n = (z*o/E)^2

For a 99.8% confidence level, the critical value is z = 2.967.

Substituting the values into the formula, we get:

n = (2.967*17.5/4.7)^2

n = 157.82

Rounding up to the nearest integer, we get a sample size of 158.

Therefore, a sample size of 158 must be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to 4.7.

(b) If the required confidence level were 99.5%, the necessary sample size would be smaller.

This is because the critical value for a 99.5% confidence level is smaller than the critical value for a 99.8% confidence level. As the critical value gets smaller, the margin of error also gets smaller, which means we need a smaller sample size to achieve the same margin of error.

So, we would choose "smaller" for the necessary sample size and "smaller" for the confidence level.

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We are given that the triangles ABC and QPR are similar.

Recall the properties of similar triangles,

• Corresponding angles are equal.

• Corresponding sides are in the same ratio.

Let us first identify the corresponding sides

Side AB = Side QP

Side BC = Side RP

Side AC = Side QR

Now let us find the missing side length RP using the ratio of corresponding sides.

So, the length of the side RP is 4.5 hence the 2nd option is correct.

Now let us check the corresponding angles.

m∠R = m∠C

m∠Q = m∠A

m∠P = m∠B

From the figure, we see that

Hence the 1st option and the 3rd option are correct.

Recall that the sum of the interior angles of a triangle is equal to 180°

Hence, the last option is incorrect since the m∠P is 36° (not 81°)

Therefore, the correct options are 1st, 2nd, and 3rd only.

Answer:

83 adult tickets and 217 student tickets.

Step-by-step explanation:

Let number of adult tickets sold = \(x\)

Given that total number of tickets = 300

So, number of student tickets = 300 - \(x\)

Cost of adult ticket = $15

Cost of student ticket = $11

Total collection from adult tickets = $\(15x\)

Total collection from student tickets =  \((300-x)\times 11 = 3300-11x\)

Given that overall collection = $3630

\(15x+(3300-11x) = 3630\\\Rightarrow 15x-11x=3630-3300\\\Rightarrow 4x = 330\\\Rightarrow x = 82.5\)

So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.

Now , collection = $3632

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

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--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

which letter from table represent like terms    asnwer   A

The binomial letters from the table represent like terms are 'B' and 'C'.

A mathematical expression made up of two terms joined together with a plus or minus sign.

It is necessary to multiply each phrase of the first binomial by each term of the second binomial when multiplying two binomials. Then, like terms are put together.

A = (-2x)×(4x) = -8x²

B = (4x)×3 = 12x

C = 1×(-2x) = -2x

D = 1×3 = 3

As, it is shown from the given expressions that the values for B and C are alike.

Thus, B and C are the letters from the table represent like terms.

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The values of k for local maxima is k = 1 and k = -1

The given function is,

   f(x) = kx⁴ - 2k³x²

⇒ f'(x) = 4kx³ - 4k³x

⇒f''(x) = 12kx² - 4k³

To find a local maximum at x = 1, we need f'(1) = 0 and f''(1) < 0.

Therefore, set  f'(1) = 0,

⇒4k(1)³ - 4k³(1) = 0

⇒4k - 4k³ = 0

⇒4k(1 - k²) = 0

From this, we can see that either k = 0 or k = ±1.

However, we have to check the second derivative to determine if these are local maximums,

⇒f''(1) = 12k(1)² - 4k³

For k = 0, f''(1) = 0, which means there isn't a local maximum.

For k = 1, f''(1) = 8 < 0, which means there is a local maximum.

For k = -1, f''(1) = -8 < 0, which means there is also a local maximum.

Therefore,

The values of k that give a local maximum at x = 1 are k = 1 and k = -1.

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Answer:

the answaa ihh D

Step-by-step explanation:

right answer above ;)

Answer:

D: 120 high schools: 196 middle schools     p.s that is a lot of schools

Answer:

Your answer should be B or D.

Step-by-step explanation:

You have to find x. If the first side is 60 degrees and the other is 70 degrees, that means that the last side should be similar to that. yo can use a protractor if you have one, or you can estimate. now for the equation part. once you have the degree for the angle, you need to use the numbers to multiply to get the number. Multiply 8 by all of the numbers. Since the angle is acute, the answer has to be less than 90.

The cost of the brand less than 6 bags is less than 11.94

If the cost y of a brand can be represented by the equation y=1.99x

where

For a brand that costs less than 6 bags, we will substitute x = 6 into the function

y = 1.99(6)

y = 11.94

Hence the cost of the brand less than 6 bags is less than 11.94

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2015:

250 members

$95 annual subscription

2016

250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

95 x 1.06 =  100.7

260 x 100.7 = 26,182

Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7

Answer:

37/4 exact form

9.25 in decimal form

9 1/4 mixed number form

Answer: 9

1 over 4

Step-by-step explanation:

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.

For example:

If we are measuring the difference in distance of two points below sea level.

One point is at -6 feet

Another point is at -14 feet

The difference between these points is:

= -14 - (-6)

= -14 + 6

= -8

We can have a negative difference in elevation but the absolute value will always give a positive value.

Therefore,

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

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The perameter to find a cartesian equation of the curve is y^2 = 1 + x.

We are given that;

x=tan^2(theta)

y=sec(theta)

Now,

We need to solve for t in one equation and substitute it into the other equation. In this case, we have:

x = tan^2(t) y = sec(t)

Solving for t in the first equation, we get:

t = arctan(sqrt(x))

Substituting this into the second equation, we get:

y = sec(arctan(sqrt(x)))

Using the identity sec^2(t) = 1 + tan^2(t),

we can simplify this equation as:

y^2 = 1 + x

Therefore, by the given equation the answer will be y^2 = 1 + x

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The equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

= $22

29.18 = 22 + 2x - 5

29.18 = 17 + 2x

29.18 - 17 = 2x

12.18 = 2x

x = 12.18 / 2

x = 6.9

Therefore, the equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

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Step-by-step explanation:

i hope its clear enough and that it helps

Here's a pic. hope it helps

Answer: No

Explanation: Current is measured in amps.