By what percentage did the median earnings of college degreed exceed that of high school degreed for 1967 for women(to the nearest tenth)?.

Answer:

Select all the examples of the exponential function

a) y=3x-2

b) y=3^x

c) y=(1/2)^3x

d) y=3x^2

E) y=(1/2)^x

Answer:

20% candy contains caramel.

Step-by-step explanation:

A bag of mixed candy has chocolate bars = 25%

and other filler candy = 75%

Let the 'c' represents the percentage of candy containing caramel in the bag of mixed candy.

Of the chocolate bars, percentage of candy containing caramel = 50% of 25%

Of the other filler candy, percentage of caramel candy = 10% of 75%

1c = 0.50(0.25) + 0.10(0.75)

   = 0.125 + 0.075

   = 0.2

By converting into percentage = 0.2 × 100 = 20%

20% candy contains caramel.

Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.

The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.

Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles

Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles

Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:

Hence,

Ratio of Tyler's miles to Brittney's miles = 69/58

This means that for every 69 miles Tyler drove, Brittney drove 58 miles.

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Step-by-step explanation:

24cm³ = 0.024dm³

Moles of CO2 = 0.024dm³ / (24dm³/mol) = 0.001mol

Hence 0.001mol of XCO3 is required.

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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When the value of A(22) = 188 and d = 19 are given then the value of a₁ is -211. The correct answer is option B. The problem seems to be related to arithmetic sequences.

where A(n) represents the nth term of the sequence and a₁ represents the first term of the sequence. We can use the formula for the nth term of an arithmetic sequence:

A(n) = a₁ + (n-1)d

where d is the common difference between consecutive terms.

We are given that A(22) = 188 and d = 19. Substituting these values in the formula, we get:

188 = a₁ + (22-1)19

Simplifying this equation, we get:

188 = a₁ + 399

a₁ = 188 - 399

a₁ = -211

Therefore, the value of a₁ is -211, which is option B.

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The left and right sums to approximate the area under the curve of the function

Let's find out Δt for n = 4. Δt = (5 - 0) / 4 = 1.25. Now let's find t0, t1, t2, t3, and t4 using the following formula: t0 = 0, t1 = 1.25, t2 = 2.5, t3 = 3.75, and t4 = 5.00.

Furthermore, f(t0) = f(0) = 2, f(t1) = f(1.25) = 3, f(t2) = f(2.5) = 4, f(t3) = f(3.75) = 3, and f(t4) = f(5) = 1.

So we get f(t0) = 2, f(t1) = 3, f(t2) = 4, f(t3) = 3, and f(t4) = 1.

The right and left sums for n=4 are shown below:

Right Sum = f(t1)Δt + f(t2)Δt + f(t3)Δt + f(t4)Δt= 3(1.25) + 4(1.25) + 3(1.25) + 1(1.25)= 14.5

Left Sum = f(t0)Δt + f(t1)Δt + f(t2)Δt + f(t3)Δt= 2(1.25) + 3(1.25) + 4(1.25) + 3(1.25)= 14.5

Let's find Δt when n=2. Δt = (5 - 0) / 2 = 2.5. Now let's find t0, t1, and t2 using the following formula:

t0 = 0, t1 = 2.5, and t2 = 5.00.

Furthermore, f(t0) = f(0) = 2, f(t1) = f(2.5) = 4, and f(t2) = f(5) = 1. So we get f(t0) = 2, f(t1) = 4, and f(t2) = 1.(

The right and left sums for n=2 are shown below:

Right Sum = f(t1)Δt + f(t2)Δt= 4(2.5) + 1(2.5)= 12.5

Left Sum = f(t0)Δt + f(t1)Δt= 2(2.5) + 4(2.5)= 15

Thus, we can use the left and right sums to approximate the area under the curve of a function. We first find Δt, t0, t1, t2, t3, and t4 using the formula. Then we calculate f(t0), f(t1), f(t2), f(t3), and f(t4) using the function f(x). Finally, we use the left and right sums to approximate the area under the curve of the function.

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Answer:

by using bodmas rule

to solve this problem

Step-by-step explanation:

=3^-6/3^-4

=3-2-4

=-3

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

Answer:

wall to bottom of ladder =8 feet

Step-by-step explanation:

using the Pythagorean theorem

ladder length=2W+1

(2W+1)^2=15^2+W^2

4W^2+4W+1=225+W^2

simplify

3W^2+4W-224=0

divide by 3

w^2+1.33W-74.6=0

factor

(W+9.3)(W-8)=0

W=8 feet

Answer:

Well rewriting literal equations can help you understand better and you'll have more room to write the answer and figure it out.

Step-by-step explanation:

By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.

The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.

Mathematically, law of reflection can be represented or modelled by this mathematical expression:

sinθi = sinθr

Where:

By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:

(3x - 10)° = (2x + 5)°

3x + 2x = 10 + 5

5x = 15

x = 15/3

x = 5.

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A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E ’ is the corresponding vertex of the image. If UE = 2 centimeters and UE ’ = 10 centimeters, the scale factor is 5 cm

Scale Factor Definition

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.

The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.

Scale Factor In Geometry

Scale is used in geometry to make accurate reproductions of figures; they are different sizes, but same proportions. Figures are similar but to scale.

Based on the information provided in the exercise, you know that:

UE = 2 centimeters

UE ’ = 10 centimeters

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

.

Scale factor :  10/2 = 5

Scale factor = 5 cm

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The center of dilation for a triangle is located at point U. The image's point E' corresponds to point E, which is the vertex of the triangle. The scale factor is 5 cm if UE = 2 centimeters and UE'= 10 centimeters.

Define Scale Factor

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

A dilation is, by definition, a transformation in which the size of the image changes but the shape remains the same as the pre-image.

The scale factor is the ratio of the corresponding sides of the image to the pre-image, and the center of dilatation is a fixed point in the plane.

Considering Scale in Geometry

In geometry, scale is utilized to create correct figures that have varying sizes but the same proportions. Similar but scaled figures are shown.

You are aware of the following thanks to the material in the exercise:

2 centimeters equals UE.

10 centimeters equals UE'.

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

Scale factor :  10/2 = 5

Scale factor = 5 cm

Answer:

Step-by-step explanation:

O.    

\((-5)^2-(-6)^2\\25-36\\-11\)

P.

\(\frac{2}{(5)^2}\\ \frac{2}{25}\)

Q.

\(15-(-2)^4\\15-16\\-1\)

R.

\(2-12\\-10\)

Any p-value less than 0.05 is a cause to reject the null hypothesis.

What is Null Hypothesis?

The statement "The null hypothesis is a claim about population parameter that is assumed to be false until it is declared false" is false. The null hypothesis is denoted by H0 assumes that the claim you are trying to prove did not happen. It is a claim about a population parameter that is assumed to be true until it is declared false.

In this case, 0.015 is the only option for p-value that would lead to a rejection of the null hypothesis (if the level of significance for the test is 0.05).

Any p-value less than 0.05 is a cause to reject the null hypothesis.

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The completed table is:
x -4 -2 0 2 4 8
y 2 0 4 4 6 8
dy/dx -2√2 -2 0 0 -2√2 -8 and the slopes at the given points are -2√2, -2, 0, 0, -2√2, and -8.

The given differential equation is dy/dx = x cos πy/8. We need to determine the slopes at the given points in the table.

To find the slope at each point, we simply plug in the x and y values into the differential equation and simplify.

At point (-4, 2), the slope is:

dy/dx = (-4) cos (π(2)/8) = -4 cos (π/4) = -4(√2/2) = -2√2

At point (-2, 0), the slope is:

dy/dx = (-2) cos (π(0)/8) = -2 cos (0) = -2(1) = -2

At point (0, 4), the slope is:

dy/dx = (0) cos (π(4)/8) = 0 cos (π/2) = 0(0) = 0

At point (2, 4), the slope is:

dy/dx = (2) cos (π(4)/8) = 2 cos (π/2) = 2(0) = 0

At point (4, 6), the slope is:

dy/dx = (4) cos (π(6)/8) = 4 cos (3π/4) = 4(-√2/2) = -2√2

At point (8, 8), the slope is:

dy/dx = (8) cos (π(8)/8) = 8 cos (π) = 8(-1) = -8

So, the completed table is:

x -4 -2 0 2 4 8
y 2 0 4 4 6 8
dy/dx -2√2 -2 0 0 -2√2 -8

Therefore, the slopes at the given points are -2√2, -2, 0, 0, -2√2, and -8.

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Answer:

the answer to this systems of equation is (4, -4)

The measure of angle PZQ is equal to 70°.

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis) with a measure of 360 degrees.

Generally speaking, the sum of all the angles around a point is equal to one full turn, which makes it equal to 360 degrees;

m∠PZR + m∠QZR + m∠PZQ = 360

120 + 170 + m∠PZQ = 360

290 + m∠PZQ = 360

m∠PZQ = 360 - 290

m∠PZQ = 70°.

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The length of the tangent x is 11.2 units.

Given is circle with radius 8.4 units and a tangent with x units, we need to find the length of the tangent,

Since we know that the tangents are perpendicular to the circle, so to find the length,

Using Pythagoras theorem,

Hypotenuse is 5.6+8.4 = 14 units,

So,

14² = 8.4² + x²

x = √196 - 70.56

x = 11.2

Hence the length of the tangent x is 11.2 units.

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Answer:

The quotient of two polynomials is always a polynomial.

Step-by-step explanation:

There is no guarantee that a quotient of polynomials can be expressed as a polynomial, even though it sometimes can.

Answer: The answer is the quotient of two polynomials is always a polynomial.

Step-by-step explanation:

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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According to the given statement the correct answer is option (B) 2x+1 / (x-1)(x+1)(x-3).

To simplify the given expression, we need to find a common denominator for the fractions.

The common denominator will be (x-1)(x+1)(x-3).

Next, we will combine the numerators of the fractions.

The numerator will be (2x - 6) + (x² - 2x - 3).

Simplifying the numerator, we get:
2x - 6 + x² - 2x - 3 = x² - 9

Now, we can rewrite the expression as (x² - 9) / (x² - 4x + 3).

To factor the numerator and denominator, we have:.
x² - 9 = (x - 3)(x + 3)
x² - 4x + 3 = (x - 1)(x - 3)

The expression now becomes:
(x - 3)(x + 3) / (x - 1)(x - 3)

The (x - 3) terms cancel out, leaving us with:
x + 3 / (x - 1)

Therefore, the expression x/x² - 2x - 3 . 2x - 6 / x²- 4x + 3 simplifies to (x + 3) / (x - 1).

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The expression (x/x² - 2x - 3) * (2x - 6 / x²- 4x + 3) can be simplified step-by-step. First, let's simplify each part separately. The final simplified expression is 2x / (x² - 1). This matches option (D) 2x / (x+3)(x-1)(x+1).

The first part, x/x² - 2x - 3, can be simplified by factoring the numerator and denominator. The numerator x cannot be factored further, and the denominator x² - 2x - 3 can be factored as (x - 3)(x + 1). So the first part simplifies to x / (x - 3)(x + 1).

Next, let's simplify the second part, (2x - 6) / (x² - 4x + 3). Again, we can factor the numerator and denominator. The numerator 2x - 6 can be factored as 2(x - 3), and the denominator x² - 4x + 3 can be factored as (x - 3)(x - 1). So the second part simplifies to 2(x - 3) / (x - 3)(x - 1).

Now, we can simplify the entire expression by canceling out the common factor (x - 3) in the numerator and denominator. This leaves us with x / (x + 1) * 2 / (x - 1).

Simplifying further, we can multiply the numerators together (x * 2 = 2x) and the denominators together ((x + 1) * (x - 1) = (x² - 1)).

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Answer:

8 11/100

Step-by-step explanation:

8.11 is the same thing as 8 whole numbers and since the .11 is in the hundreths place, it becomes 11/100.

The resolution for the given measurements is approximately 2.53%.

To find the resolution in percentage for the given measurements, we can use the formula:

Resolution (%) = [(Xmax - Xmin) / Xreal] * 100

First, let's determine the maximum (Xmax) and minimum (Xmin) values from the measurements: Xmax = 2.02 Xmin = 1.97

Substituting these values into the formula, we have: Resolution (%) = [(2.02 - 1.97) / 1.98] * 100

Simplifying the calculation: Resolution (%) = (0.05 / 1.98) * 100 Resolution (%) ≈ 2.53%

Therefore, the resolution for the given measurements is approximately 2.53%.

Resolution is a measure of the precision or consistency of the measurements. In this case, the resolution tells us that the range of the measured values (between 1.97 and 2.02) is about 2.53% of the true value (1.98). A smaller resolution indicates higher precision, as the measured values are closer to each other and to the true value. Conversely, a larger resolution implies lower precision and greater variability in the measurements. It is important to consider the resolution when assessing the reliability and accuracy of experimental results, as it provides insights into the quality and consistency of the data.

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Answer:B

Step-by-step explanation:

Answer:15

Step-by-step explanation: