6. Find the product. Simplify to lowest terms.9/10 x 3/8A.27/80B. 1/3C. 5/18 D.2/3

Answer:

31.6%

Step-by-step explanation:

Let the percentage in % be p, then we can solve:

38 * p / 100 = 12

p/100 = 12/38

p = 1200/38 ≈ 31.6%

Answer:

Your answer is 100. Hope it helped.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

77

Step-by-step explanation:

38.5 ÷ 0.5 = 77

77 x 0.5 = 38.5

(think of 5 x 7)

0.5 x 70 = 35 (3.5 left)

0.5 x 7 = 3.5 (0 left)

70 + 7 = 77

The graphs of y = f(x) and the transformed function are illustrations of function transformation

The parent function is given as:

y = f(x)

The lines and curves on the graph cannot be manipulated; however, the description of the function y=f(-x+4)-5 can be given

The transformation of function y = f(x) to y=f(-x+4)-5 is as follows:

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Answer:

Prove what is similar?????

The three angles can be thought of as being supplementary, and

therefore, sum to 180°

The values and relationships are;

Reason:

Given;

m∠EBD = 58°

m∠DBC = 3·x - 5

m∠ABE = 2·x + 2

Solution:

(a) Given that m∠EBD, m∠DBC, and m∠ABE are adjacent angles forming a straight line, we have;

m∠EBD + m∠DBC + m∠ABE = 180° angles forming a straight line are

supplementary

Therefore;

58° + 3·x - 5 + 2·x + 2 = 180°

3·x + 2·x = 180 - 58 + 5 - 2 = 125

\(x = \dfrac{125}{5} = 25\)

x = 25°

(b) m∠ABE = 2·x + 2

∴ m∠ABE = 2 × 25 + 2 = 52

m∠ABE = 52°

m∠ABD = m∠ABE + m∠EBD

∴ m∠ABD = 52° + 58° -= 110°

BE is a bisector of ∠ABD if  m∠ABE = m∠EBD

m∠ABE = 52° < 58° = m∠EBD

∴  m∠ABE  ≠ m∠EBD

Therefore;

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Answer:

3

Step-by-step explanation:

Answer:

d i thing or A many.....ccr3vryn my

Answer:

please send a proper pic

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

F or G = { 5,6,7,8,9,10,11,12 } is probability  P(F or G) using the general addition rule.

What are examples and probability?

The likelihood that something will happen is called the probability. the total number of conceivable outcomes.

                                   For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is what we write.  the forerunners of the contemporary mathematical theory of probability (for example the "problem of points").

S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},

event F={5, 6, 7, 8, 9}​, and

event G={9, 10, 11, 12}.

F or G = { 5,6,7,8,9,10,11,12 }

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Answer:

3/14

Step-by-step explanation:

2/7 * 3/4

Multiply the numerators

2*3 = 6

Multiply the denominators

7*4 =28

Put the numerator over the denominator

6/28

Divide the top and bottom by 2

3/14

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:2/10

Step-by-step explanation:there are 2 sailor hats out of 10 hats meaning every 10 hats you pull you will get 2 sailor hats so this makes 2/10 correct

Answer:

119

Step-by-step explanation:

common different: 7-3=4

initial value =3

so x-3=(n-1)d

only 119-3=116 is divisible by 4

It's the ans cuz n-1 has to be integer

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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The number of sides that the polygon has is given as follows:

24 sides.

A regular polygon is a polygon in which all side lengths have the same measure, hence all the internal angles of the polygon will also have the same measure.

The sum of the internal angle measures of a polygon of n sides is given as follows:

S(n) = (n - 2) x 180º.

For a regular polygon of n sides, with n angles of equal measure, the measure of each interior angle is given as follows:

I = (n - 2) x 180/n.

In the case of the center of the polygon, the sum of the internal angles is of 360º, hence the number of sides n can be obtained as follows:

n  = 360/I.

For this problem, the internal angle measure is given as follows:

I = 15º.

Hence the number of sides is calculated as follows:

n = 360/15

n = 24 sides.

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The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer: C

Step-by-step explanation:

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

D. 24

Step-by-step explanation:

AM: 12 (radius)

AC: 24 (diameter)

Answer: w=6

Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.

2. simplify again. 3w-4w is -w.

3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.