small angle equation only works if you use metric units. True or False?

Answer:

D. no solutions

Answer:

8.048 liters

Step-by-step explanation:

Convert 8542 ml to liters:  (8542 ml)(1 liter/1000 ml) = 8.542 liters

Now subtract 0.458 liters to find the amount that a fish tank can hold:

 8.542 liters

-0.458  liters

8.048 liters is the fish tank capacity

Answer:

-12w^8

Step-by-step explanation:

Hope it helps!

The number of pins Camila collected is an illustration of a linear function.

The linear function is: \(\mathbf{y =20 + 5x}\)

The given parameters are:

\(\mathbf{Start = 20}\)

\(\mathbf{Rate = 5}\)

So, her monthly collection is:

\(\mathbf{y =Start + Rate \times x}\)

So, we have:

\(\mathbf{y =20 + 5\times x}\)

\(\mathbf{y =20 + 5x}\)

Hence, the linear function is: \(\mathbf{y =20 + 5x}\)

See attachment for the graph of the function

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Answer:

B) 14/15

this is the best answer

The area of the small figure is 6 in².

In Geometry and Mathematics, a scale factor is the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

Scale factor of side lengths = 3/6 = 1/2

Therefore, the area of the small figure can be calculated as follows;

Area of small figure = (1/2)² × 24

Area of small figure = 1/4 × 24

Area of small figure = 6 in².

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Answer:

edi wow

Step-by-step explanation:

bwiset ka hahaha

This is a Metric conversion problem. Note that it will take 38.4 minutes to create a 2-foot by 4-foot pattern drive. See the explanation below.

There are several ways to do this. Let's use the area of the times and that of the pattern drive.

Note that the area of the 3inch by 5-inch tile =

Area of a rectangle

L x B =

3 x 5

= 15inches

Applying the same rule to the pattern drive, we have
2 x 4

= 8 foot

Note that 1 foot = 12 inches

For convenience, thus, we convert the area of the pattern drives into inches. This gives us:
8 x 12

= 96 inches

To get how many minutes it will take to create a 2 by 4-foot pattern drive, we have

Recall that it takes 6 minutes to lay a 3x5 which is 12 inches in area.
Hence,

96/15
= 6.4
6.4 x 6
= 38.4 minutes.
Hence, it will take Rachel 38.4 minutes to lay a 2 by 4-foot pattern drive given the parameters above.

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The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.

In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).

Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:

p(x > 18) = p(x < 18)

In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.

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Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

The height of the second square base prism is 50 cm.

The volume of the first square base prism is represented as follows:

v = ha²

where

Therefore, the height of the prism is 10 cm.

v = 10a²

Hence, the volume of the initial prism is 5 times the volume. Therefore,

v = 5(10a²)

v = 50a²

Therefore,

50a² = ha²

divide both sides by a²

50a² / a² = ha² / a²

50 = h

h = 50  cm

Therefore, the height of the second square base prism is 50 cm.

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There are 12650 solutions for the equation x1+x2+x3+x4+x5=21.

What is Combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant."

There is a 1-1 correspondence between the solutions and re-orderings of 17 ones and 3 zeros that match exactly, with x1 denoting the number of ones before the first zero, x2 denoting the number of ones in between the first and second zeros, x3 denoting the number of ones in between the second and third zeros, x4 denoting the number of ones in between the third and fourth zeros, and x5 denoting the number of ones following the fourth zero.

So, the number of solutions is -

\(\begin{equation}\left(\begin{array}{c}25 \\4\end{array}\right)\\=\frac{25!}{4!}\\=12650\end\)

Therefore, the number of solutions for the equation is 12650.

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How many solutions are there to the equation x1+x2+x3+x4+x5=21?

Answer:

x = -3

y = 3

Step-by-step explanation:

C = (-3,3)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

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A basis for the column space of this matrix is {(4, -6, -3, 2), (14, -3, -6, 7), (-2, -2, 2, -4)}.

The rank of this matrix is 3, which is determined by the number of non-zero columns of the matrix. This matrix has three non-zero columns (4, -6, -3, 2; 14, -3, -6, 7; and -2, -2, 2, -4), therefore, the rank of this matrix is 3.

To determine the rank of a matrix, one should look at the number of columns that are non-zero. The rank is then determined by the number of non-zero columns.

In this matrix, the three non-zero columns are (4, -6, -3, 2; 14, -3, -6, 7; and -2, -2, 2, -4), making the rank of this matrix 3. The basis for the column space of this matrix is then {(4, -6, -3, 2), (14, -3, -6, 7), (-2, -2, 2, -4)}.

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If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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Answer:

A: 5 cm2

B: 9 3/8 cm2

Step-by-step explanation:

Question A:

4 x 1 1/4

4/1 x 5/4 = 20/4

20/4 = 5 cm2

Question B:

3 3/4 x 2 1/2

15/4 x 5/2 = 75/8

75/8 = 9 3/8 cm2

Answer:

10

Step-by-step explanation:

The square root of a number x is, by definition, a number y such that y2=x . In your case, it is immediate to find out that 102=100 , which fits the definition, and thus the square root of 100 is 10.

The 27th term of the given arithmetic sequence is -19.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given that the nth term of an arithmetic sequence can be found using the function, f(n) = -n + 8. Now, the value of the 27th term of the arithmetic sequence can be found as,

f(n) = -n + 8

f(27) = -(27) + 8

f(27) = -27 + 8

f(27) = -19

Hence, the term is -19.


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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Step-by-step explanation:

what is this supposed to mean, I'm not sure so I just plugged it in.

y= 2x - 8 plug in x and y whish is -2= 2(4) - 8

do 2(4) -8

equals 0

so the point (4, -2) does not belong to the equation y = 2x - 8

Answer:

Step-by-step explanation:

if you plug in the numbers in symbolab you get -2=0 and the sides are not equal. Just plug in for Y -2 and for X 4

The eigenspace for λ = 3 is the subspace of P3 consisting of all constant polynomials.

(1) To prove that T is a linear transformation on P3, we must show that it satisfies two properties:

i. T(cx) = cT(x), for any scalar c and any vector x in P3.

ii. T(x+y) = T(x) + T(y), for any vectors x and y in P3.

Let's take a polynomial, p(x), in P3 and two scalars, c and d. Then,

T(c*p(x)+d*q(x)) = T(cp(x) + dq(x))= cp(x-1) + dq(x-1) + 3(c+d)p(0)= cT(p(x)) + dT(q(x)),

because p(x)+q(x) is also a polynomial in P3, T(p(x)+q(x))= T(p(x)) + T(q(x)).

So T is a linear transformation.

Hence proved.

(2) Eigenvalues are those scalars λ for which the equation T(x) = λx has nontrivial solutions. In other words, if λ is an eigenvalue of T, then there exists a nonzero vector v such that T(v) = λv.

Substituting λp(x) for T(p(x)), the equation λp(x) = T(p(x)) gives us:

λp(x) = p(x-1) + 3p(0),

now, rearranging and grouping the terms in powers of x,λp0+λp1x+λp2x2+λp3x3= (p0+3λ) + (p1−λ)x + (p2−λ)x2 + p3x3 where p0, p1, p2, and p3 are the coefficients of p(x).

This means that each coefficient of the polynomial on the right-hand side of this equation must be zero in order for λp(x) to be a scalar multiple of p(x).

Therefore, we have a system of four equations: p0 + 3λ = λp0, p1 - λ = λp1, p2 - λ = λp2, p3 = λp3

If we subtract λ times the first equation from both sides, we get (λ − 3)p0 = 0. Since p0 cannot be zero (otherwise, p(x) would be the zero polynomial, which is not in P3), we must have λ = 3. Plugging λ = 3 into the other three equations, we get p1 = p2 = p3 = 0. Thus, the eigenspace for λ = 3 is the subspace of P3 consisting of all constant polynomials.

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Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).

To calculate the present value of these payments, we need to use the formula for the present value of an annuity:

\(PV = (P/i) x [1 - (1+i)^-n]\)

Where:
P = payment amount
i = annual effective rate
n = number of payments

Using this formula, we can calculate the present value of the first 10 payments:

\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)

To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do

this, we can use the following formula:

\(Pn = P1 x (1 + g)^n\)

Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment

For the 11th payment:

\(P11 = 105 x (1 + 0.05)^1 = 110.25\)

For the 12th payment:

\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)

And so on, until the 20th payment:

\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)

Now we can calculate the present value of these payments:

PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)

PV = 988.59

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The equation of a line can be written as:

y = mx + b

Where m is the slope and b is the y-intercept.

For the word problem, the slope is -10 and the intercept is 50, thus the equation is:

y = -10x + 50

If x is the number of weeks, then y decreases by 10 when x increases by 1. We expect that the value of y goes from 50 down to 40, 30, 20, etc.

The example of the friend is that he started with

What is the question?

The test statistic for a Z-test is the Z-statistic, which has the standard normal distribution under the null hypothesis

A test statistic shows how closely your data’s distribution fits the distribution anticipated by the statistical test’s null hypothesis. The frequency with which each observation happens is defined by the distribution of data, which may be represented by its central tendency and variance around that central tendency.

Z= (x – y)/(x2/n1 + y2/n2) is the formula for calculating the test statistic when comparing two population means. To compute the statistic, we must first compute the sample means (x and y) and standard deviations (x and y) for each sample independently. In statistics, there are many different types of tests, such as the t-test, Z-test, chi-square test, anova test, binomial test, one sample median test, and so on. If parametric tests are applied,

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Answer:

Step-by-step explanation:

y = 2/3 x - 3

Answer:

slope intercept form or an linear equation.

Answer:

1:11

Step-by-step explanation:

Split the time so it's easier to add: 9 mins then 30 mins then 10 mins = 49 mins

      (+9 mins)        (+30 mins)      (+10 mins)

_________________________________

12:22             12:31                 1:01                1:11