The kindergarten section of Lost Valley School has 12 classrooms. If each classroom
has 15 students how many total kindergarten students are at Lost Valley School?

Answer:

scientific notation is the answer

Step-by-step explanation:

you will use scientific notation to move you decimal point when you multiply a decimal

Answer:

x^2 -root 15 +o = 0

Step-by-step explanation:

x^2 - (x+y) + xy

x^2 -root 15 +o = 0

Answer:

Pls give me the answers as soon as possible and make sure that the answers are correct.

Answer:

prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers

Step-by-step explanation:

Answer:

A prime number is a number that is divisible by itself and cannot be divided by any other number only by itself.

For example, 5 is a prime number because nothing can divide into 5 except for itself.

Answer:

Disagree. As long as the odd number (7) is multiplied by an even number, the sum of multiples of an odd and even number in general will add to be even.

Step-by-step explanation:

Assume you have a=7 and b=8.

Now there are 4 combinations since there are only two types of numbers: even and odd.

Combination 1 would consist of an ODD amount of multiples of a, and and ODD amount of multiples of b.

     See:  3a + 3b

              3(7) + 3(8) = 45

*Combination 2 would be an EVEN amount of a and an EVEN amount of b.

         2a + 2b

         14 + 16 = 30

HERE, in combination 2, the claim is already debunked.

Combination 3 is an ODD amount of a and an EVEN amount of b

         1a + 2b

        7 + 16 = 21

*Combination 4 is an EVEN amount of a and an ODD amount of b

         2a + 1b

         14 + 8 = 24

HERE, in combination 4, the claim is justified again

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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The slant height of the pyramid is approximately 5.657 cm.

Let's denote the side length of the square base of the pyramid as 's'.

According to the given information, the height of the pyramid is half the side length of the pyramid's base. This means the height (h) is equal to (1/2) * s.

To find the slant height (l) of the pyramid, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides.

In our case, the slant height (l) is the hypotenuse, and the height (h) and half the side length of the base (s/2) are the other two sides.

Using the Pythagorean theorem:

l^2 = h^2 + (s/2)^2

l^2 = [(1/2) * s]^2 + (s/2)^2

l^2 = (1/4) * s^2 + (1/4) * s^2

l^2 = (1/2) * s^2

Taking the square root of both sides:

l = √[(1/2) * s^2]

l = (1/√2) * s

Substituting the value of s = 8cm into the equation:

l = (1/√2) * 8

l ≈ 5.657 cm

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

The distance between the points (a, b) and (c, d) is √((c - a)^2 + (d - b)^2). And the distance between the points (1, 2) and (7, 10) is 10 units.

The distance between two points (a, b) and (c, d) in a two-dimensional coordinate system can be calculated using the distance formula:

Distance = √((c - a)^2 + (d - b)^2)

In this case, we are given the points (1, 2) and (7, 10), and we need to find the distance between them.

Using the distance formula, we can calculate:

Distance = √((7 - 1)^2 + (10 - 2)^2)

        = √(6^2 + 8^2)

        = √(36 + 64)

        = √100

        = 10

Therefore, the distance between the points (1, 2) and (7, 10) is 10 units.

The distance formula is derived from the Pythagorean theorem. It calculates the length of the straight line between two points in a two-dimensional plane. The formula uses the differences between the x-coordinates (c - a) and the y-coordinates (d - b) of the two points and squares them. Then, it takes the square root of the sum of the squares to obtain the final distance.

In our case, we substitute the given coordinates into the formula and perform the calculations step by step. We subtract the x-coordinates and y-coordinates, square the differences, add them together, and finally take the square root of the sum. This gives us the distance between the two points.

The distance between (1, 2) and (7, 10) is found to be 10 units. This means that if we were to draw a straight line connecting these two points on a coordinate grid, the length of that line would be 10 units.

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The correct question is: The distance between the points (a, b) and (c, d) is ________. So the distance between (1, 2) and (7, 10) is __________.

Hello,

Answer:

x = 13

Step-by-step explanation:

    7x + 5 + 5x + 19 = 180

⇔ 12x + 24 = 180

⇔ 12x = 180 - 24

⇔ 12x = 156

⇔ x = 156/12

⇔ x = 13

Answer:

5x−7=y

by adding

7,

⇒5x=y+7

by subtracting

y,

⇒5x−y=7,

which is in standard form.

I hope that this was helpful.

Answer:

111

Step-by-step explanation:

(4×3+3×2-17×-12)÷(×+2)

(12+6+204)÷(2)

(222)÷(2)

222÷2

111

The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of  Permutation and Combination.

If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.

To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.

To get the total number of ways, we can multiply these numbers:

495 x 1,365 = 7,425.

To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.

To get the total number of ways, we can add these numbers:

495 x 5,005 + 2,190 x 3,003 = 58,275.

To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.

To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.

Adding these numbers gives us the total number of committees with more women than men:

15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700

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Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

\(x=-1,-7\)

Step-by-step explanation:

\(x^2+8x+7=0\) where a \(\neq\) 0 so a = 1 b = 8 c = 7

Quadratic Formula: \(x=-b\frac{\sqrt{b^2-4ac} }{2a}\)

\(x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}\)

\(x=-8\frac{\sqrt{64-28} }{2}\)     Evaluate the exponent and multiply 4ac

\(x=-8\frac{\sqrt{36} }{2}\)          Subtract b^2 - 4ac and multiply 2a

\(x=-8\frac{\sqrt{6} }{2}\)           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

ABCD is a rectangle ,we can conclude that AC = DB

Given that ABCD is a rectangle, we need to prove that AC = DB.The opposite sides of the rectangle ABCD are parallel and of equal length. In a rectangle, all the angles are right angles.Now, in the triangle ADC, AD = CD (since ABCD is a rectangle), and angle DAC = angle ACD (since AD and CD are of equal length).

So, ADC is an isosceles triangle, and angle ACD = angle ADC.

Next, consider the triangle ABD. In this triangle, angle DAB = 90 degrees (since ABCD is a rectangle), and angle

ADB = angle ACD (since AD and CD are of equal length).

Thus, ABD and ACD are similar triangles. So, AD/AC = AB/AD, which can be rearranged as AD² = AC × AB.

Similarly, BDC and ABC are similar triangles.

So, BD/BC = BC/AB, which can be rearranged as BD² = AB × BC.

Since AB = CD (since ABCD is a rectangle), we have AD² = BD².

Taking the square root of both sides, we get AD = BD.Thus, AC = AD + DC = BD + DC = DB (since ABCD is a rectangle).

Therefore, we can conclude that AC = DB.

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Answer:

Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Step-by-step explanation:

Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:

1 = 3x20 = 3x4x10 = 12x10

20 = 4x10

10 = 10

(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102

(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204

So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Answer:

3n+4

Step-by-step explanation:

Answer:

3n+4 I believe

Step-by-step explanation:

Distributive...

2n+10-6+n

Combine Like terms

2n+n+10-6

3n+10-6

3n+4

The value of (f - g)(x) is x² + 4x + 3 if f(x) =  2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) =  2x² - 5

g(x) = x² - 4x - 8

(f - g)(x) = f(x) - g(x)

= (2x² - 5) - (x² - 4x - 8)

= 2x² - 5 - x² + 4x + 8

= x² + 4x + 3

(f - g)(x) = x² + 4x + 3

Thus, the value of (f - g)(x) is x² + 4x + 3 if f(x) =  2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.

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Answer:

x = 10

y = \(10\sqrt{2}\)

Step-by-step explanation:

Let me know if you want an explanation.

Step-by-step explanation:

29x - 3 + 15x + 7 = 18 because these two angles are supplementary

13y - 17 = 29x - 3 because these two angles are alternate

since we know the value of x

Answer:

0

3

6

9

12

Step-by-step explanation:

since it says y= you just have to plug in the x into y=2/4x

Answer:

0,3,6,9,12

Step-by-step explanation:

y=3/4x

divide 3/4=.75

substitute x value and multiply by .75

4*.75=3

8*.75=6

12*.75=9

16*.75=12

hope this helps :)

Answer:

  4. See attached

  5.  D. C(8) = 22

Step-by-step explanation:

4. You want the graph of g(x) = -1/3x +5.

5. You want the functional form of the expression telling you the cost of 8 gallons of gas is $22, where C(x) represents the cost of x gallons.

The +5 in the equation g(x) = -1/3x +5 is the y-intercept. It tells you the point y=5 on the y-axis is on the line you want to graph.

The -1/3 in the equation is the slope of the line. This ratio tells you the line drops 1 unit for each 3 units to the right. That is, points (3, 4), (6, 3), (9, 2) will be on the line.

The graph is shown in the attachment.

The problem statement tells you C(x) is the cost of x gallons. That is, ...

  C(gallons) = dollars

Substituting the given values for gallons (8) and dollars (22), you have ...

  C(8) = 22

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of BD is 15 units. Hence option D is correct.

According to the figure, we know that,

Let the intersection point of AC and BD be 'O'

Hence AO = 4 units,

OC = 4.5 units,

AC = radius of the circle = 8.5 units

We know that, If a radius is perpendicular to a chord in the circle, then the radius bisects the chord.

Hence BO = OD

By using Pythagoras' theorem,

\(AB^{2} = AO^2+BO^2\\ \Rightarrow BO^2 =AB^2 - AO^2 \\\Rightarrow BO^2 = radius^2 - AO^2\\\Rightarrow BO^2 = AC^2 - AO^2\\\Rightarrow BO^2 = (8.5)^2 - (4)^2\\\Rightarrow BO^2 = 72.25 - 16\\\Rightarrow BO^2 = 56.25\\\Rightarrow BO = 7.5\\\)

Hence BD = BO + OD = 7.5 + 7.5 = 15 units

Hence option D is correct.

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Answer:

21212121/100000000

Step-by-step explanation:

21212121/100000000 cannot be simplified

Hope this helps!

Answer:

0.21212121 Cannot be converted into a fraction

Answer:

16,6

Step-by-step explanation:

OK so I used the Sine Rule

(10÷Sin37) = (X÷Sin90) [Then cross multiply]

10Sin90 = XSin37

(10Sin90 ÷Sin37) = X = 16,62