Can someone please answer these questions???!

Answer:  Two of the angles are 144°  The other two angles are 36°

Step-by-step explanation: The sum of the angles of a parallelogram is 360°

There are two pairs of equal angles.

Using that information, we can create an equation

2x + 2(0.25x) = 360

2x + .5x = 360

2.5x = 360 . Divide both sides by 2.5 to find the value of x:

x = 144° Substitute 144 for x in the expression for the smaller angles

.25(144) = 36°

The measure of the angles in the parallelogram are 144 and 36 degrees.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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The probability that a randomly selected family owns a cat is 0.34 (34%).

The conditional probability that a randomly selected family owns a dog given that it doesn't own a cat is approximately 1.2121.

To find the probability that a randomly selected family owns a cat, we can use the law of total probability. Let's denote the events as follows:

A = Family owns a dog

B = Family owns a cat

We know that P(A) = 0.20 (20% of families own a dog) and P(B|A) = 0.20 (20% of families that own a dog also own a cat). We're also given that P(B) = 0.34 (34% of families own a cat).

Using the law of total probability, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

P(B) = 0.20 * 0.20 + P(B|A') * (1 - 0.20)

Since the remaining probability is distributed among families that don't own a dog, we can rewrite the equation as:

0.34 = 0.04 + P(B|A') * 0.80

Simplifying, we find:

P(B|A') * 0.80 = 0.34 - 0.04

P(B|A') * 0.80 = 0.30

P(B|A') = 0.30 / 0.80

P(B|A') = 0.375

Now, we can find the conditional probability that a randomly selected family owns a dog given that it doesn't own a cat:

P(A|B') = P(A' ∩ B') / P(B')

Since A and B are mutually exclusive events (a family cannot own both a dog and not own a dog simultaneously), we have:

P(A' ∩ B') = P(A') = 1 - P(A) = 1 - 0.20 = 0.80

P(B') = 1 - P(B) = 1 - 0.34 = 0.66

P(A|B') = P(A' ∩ B') / P(B') = 0.80 / 0.66

P(A|B') ≈ 1.2121

Therefore, the probability that a randomly selected family owns a cat is approximately 0.34 (34%), and the conditional probability that a randomly selected family owns a dog given that it doesn't own a cat is approximately 1.2121.

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Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

\(\frac{-36}{-216} \\=\frac{36}{216} \\=\frac{1}{6}\)

The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

Given that the length, width, and height of the rectangular prism are,

The volume of the rectangular prism will be calculated as,

Volume = Length x width x Height

Volume = (4x - 3)(x + 1)( x+2) cubic feet

Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.

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Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = g(x) into f(x) , that is

f(5x + 4)

= 3(5x + 4) - 2

= 15x + 12 - 2

= 15x + 10

(b)

note (g ￮ f)(x) = g(f(x))

Substitute x = f(x) into g(x) , that is

g(3x - 2)

= 5(3x - 2) + 4

= 15x - 10 + 4

= 15x - 6

Answer:

5 servings

Step-by-step explanation:

there is not enough juice for 6 or more servings

The  least common denominator of 7/9 and 2/3 is 9

To find the least common denominator of 7/9 and 2/3, we need to find the smallest multiple that both denominators share.

The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, ...

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

We can see that the smallest multiple that both denominators share is 9.

To convert 7/9 and 2/3 to have a denominator of 9, we need to multiply the numerator and denominator of 7/9 by 1 (which is equivalent to 9/9), and the numerator and denominator of 2/3 by 3:

7/9 * 1 = 7/9

2/3 * 3/3 = 6/9

Now both fractions have a denominator of 9, so we can compare them easily:

7/9 and 6/9

Therefore, the least common denominator of 7/9 and 2/3 is 9.

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The measure of ∠QPS must be 59° in order for the quadrilateral to be parallelogram.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given is a quadrilateral PQRS.

Two opposite angles of the quadrilateral are given.

The measure of angle PQR is (6x+13) degrees and the measure of angle PSR is (7x-5) degrees.

If the quadrilateral is parallelogram, opposite angles must be equal.

6x + 13 = 7x - 5

6x - 7x = -5 - 13

-x = -18

x = 18

∠PQR = ∠PSR = 6x + 13 = 121°

Sum of the interior angles of a quadrilateral is 360°.

∠PQR + ∠PSR + ∠QPS + ∠QRS = 360°

121° + 121° + ∠QPS + ∠QRS = 360°

The other pair of opposite angles must be equal.

So, ∠QPS = ∠QRS

121° + 121° + 2∠QPS = 360°

242° + 2∠QPS = 360°

2∠QPS = 118

∠QPS = 59°

Hence the measure of ∠QPS = 59°

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Answer:

barry is a fata-ss

212-110= 102 lbs of meat left over

Barry ate 110 lbs

Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.

If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

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Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

\(y_{1}\) = 2( - 2 )² + 5 = 2(4) + 5 = 13

\(y_{2}\) = 2( 0 )² + 5 = 5

\(y_{3}\) = 2( 1 )² + 5 = 7

\(y_{4}\) = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Answer:

1

Step-by-step explanation:

i used a calculator

The precision of the measurements can change based on the number of data points and the variability of the data.

The mean absolute deviation (MAD) is a measure of the precision of a set of data. It represents the average difference between each value in the set and the mean of the set.

In this scenario, you and two other groups measured the same glassware, and you want to recalculate the MAD using the combined data from all three groups.

To find the new MAD, you need to first find the mean of the combined data set and then find the absolute difference between each value and the mean.

This will give you a set of values representing the deviation from the mean. To find the MAD, you then take the average of these deviation values.

Comparing the new MAD with your original measurement will give you an idea of the precision difference between your measurements and the combined measurements of the three groups.

If the new MAD is smaller than your original MAD, this means the combined measurements are more precise and have a smaller deviation from the mean.

The more data points and the less variability, the more precise the measurements will be. In this scenario, combining the data from three groups has likely improved the precision of the measurements.

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The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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Answer:

12

Step-by-step explanation:

Hope it helps

Answer:

17

Step-by-step explanation:

4 × 5 - 3² x 2 ÷ 6

20 - 3² × 2 ÷ 6

20 - 9 × 2 ÷ 6

20 - 18 ÷ 6

20 - 3 = 17

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

132

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

Answer:

$3 per kg of rice

Step-by-step explanation:

To find the unit price of the rice, you have to divide the price of 2.5 kgs by 2.5 to get to the base unit of 1 kg.

7.50/2.5=3

So, it is $3 for every kg of rice.

Answer: x=29

Step-by-step explanation:

Since RZ is half of SW you would make the equation (5x-25)1/2=2x+2 and solve

Answer:

Below

Step-by-step explanation:

Since it is a parallelogram, the right angle in the upper left means that it is a rectangle and the diagonals are equal

RZ = 2 (2x+2) = SW = 5x-25

2(2x+2) = 5x-25

4x +4 = 5x-25

29 = x

x = 29  units

Answer:

223

Step-by-step explanation:

368 divided by 3= 123

123+100= 223

Answer:

Step-by-step explanation: the correct answer is c if not c than a

Answer:

f(x)=3x

Step-by-step explanation:

use y2-y1/x2-x1 to find slope

-3-(-9)/-1-(-3)

6/2

3 is the slope

Only equation with slope of 3 is f(X)=3x or A

Hopes this helps please mark brainliest

Thus, the Fourier series of the given function simplifies to Sf(t) = π/4.

To determine the Fourier series of the 2π-periodic function f(t) = |t|, we need to find the coefficients of the trigonometric terms in its Fourier series representation.

The Fourier series representation of f(t) can be written as:

f(t) = a₀ + Σ(aₙcos(nt) + bₙsin(nt))

where a₀, aₙ, and bₙ are the Fourier coefficients to be determined.To find these coefficients, we will calculate the integrals involving f(t) multiplied by the trigonometric functions:

₀ = (1/2π) ∫[π,-π] |t| dt

To find the integral of |t| over the interval [-π, π], we split the integral into two parts:

₀ = (1/2π) ∫[0,π] t dt + (1/2π) ∫[-π,0] -t dt

= (1/2π) ([(t²/2)] from 0 to π + [(-t²/2)] from -π to 0)

= (1/2π) ([(π²/2) - (0)] + [(0) - (π²/2)])

= (1/2π) (π² - π²/2)

= (1/2π) (π²/2)

= π/4

Next, we calculate the coefficients for the sine terms:

= (1/π) ∫[π,-π] |t|sin(nt) dt

Since the function |t| is symmetric around the y-axis, the integral of |t| multiplied by an odd function (such as sin(nt)) over a symmetric interval is zero. Therefore, bₙ = 0 for all n.

Finally, we calculate the coefficients for the cosine terms:

aₙ = (1/π) ∫[π,-π] |t|cos(nt) dt

We can split the integral into two parts similar to before:

= (1/π) ∫[0,π] t cos(nt) dt + (1/π) ∫[-π,0] -t cos(nt) dt

the integrals, we have:

aₙ = (1/π) ([(t/n)sin(nt)] from 0 to π + [(t/n)sin(nt)] from -π to 0)

= (1/π) ([(π/n)sin(nπ) - (0)] + [(0) - (-π/n)sin(-nπ)])

= (1/π) ([(π/n)sin(nπ)] - [(π/n)sin(nπ)])

= 0

Therefore, aₙ = 0 for all n.

In summary, the Fourier series representation Sf(t) of the function f(t) = |t| is:

Sf(t) = a₀ + Σ(aₙcos(nt) + bₙsin(nt))

= (π/4) + 0

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The expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

For given question,

We have been given a statement 'x to the power of 3 times x to the power of 3 times x to the power of 3 '

We can write above statement in expression form as,

x³ × x³ × x³

Now, we simplify above expression.

We know that the product rule of exponents states that, 'To multiply expressions with the same base, add the exponents while keeping the base the same.'

So, x³ × x³ × x³ = \(x^{3+3+3}\)

⇒  x³ × x³ × x³ = \(x^{9}\)                    ....................................(1)

Also, we have been given a statement that 'x to the power of 3 times 3 times 3'

We can write above statement in expression form as,

\(x^{3\times 3\times 3}\)

Now we simplify above expression.

By power of a product rule of exponents,

\(x^{3\times 3\times 3}=x^{27}\)                           .....................................(2)

From (1) and (2),

x³ × x³ × x³ ≠ \(x^{3\times 3\times 3}\)

Therefore, the expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

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