MULTIFLYING FRACTIONS!)

1. ) what is the product of 12 and 7/10?

The linear inequality that represents how much he earned is 11l + 7w ≥ 140

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.

The linear inequality to represent the problem can given as :

where;

11l + 7w ≥ 140

Note: We used the greater than or equal to sign "≥" because he must earn at least 140. I.e, he may earn exactly or more than $140 but not below that

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False. Under exponential growth, if n=1,000,000 and r=1 for one generation, the size of the total population after one generation will be 2,000,000.

Exponential growth is characterized by a constant growth rate where the population size increases exponentially over time. In this case, if the growth rate is 1 (r=1), it means that the population size doubles with each generation.

However, in the given scenario, it is stated that the initial population size is 1,000,000 (n=1,000,000), and if the growth rate is 1, the population size after one generation would be 1,000,000 + 1,000,000 = 2,000,000, not 2,000,000 as stated in the question. So, the statement is false. The correct result would be 2,000,000, not 2,000,000.

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The diameter of the circle is AB and option b is the correct answer.

The diameter of a circle is the distance along which the circumference begins at one end and terminates at the other. Its length is double that of the circle's radius. In other words, the line that splits a circle into two equal pieces and runs through its centre is the diameter of the circle. Every straight line segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter is also referred to as the circle's longest chord.

We know that, the diameter of the circle is the longest segment that passes through the center of the circle.

From the given figure we observe that, the segment AB passes through the center and connects with the circle on either side.

Hence, the diameter of the circle is AB and option b is the correct answer.

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Answer:

AB

Step-by-step explanation:

We know that the angles

m∠XWZ = m∠XMN

m∠XYZ = m∠MNZ

The following pair of angles form a straight line (called supplementary angles):

m∠MNZ and m∠MNY

since the addition of supplementary angles is 180°, then

m∠MNZ + m∠MNY = 180°

Having this information we are going to complete the right cuadrilateral's angles:

Assuming that this is an isosceles trapezoid:

we have that the angles

m∠XMN and m∠MNY are equal, then

2x - 7 = 63

We want to find x from the equation:

2x - 7 = 63

↓ adding 7 both sides

2x = 63 + 7

2x = 70

↓ dividing both sides by 2

2x/2 = 70/2

x = 35°

Answer: x = 35°

We know that the lenght of the middle line is given by

Then

replacing them with the given information:

Now, we can find x

Answer: x = 10

Answer:

  yes

Step-by-step explanation:

You dilate a golden rectangle by a factor of 1/2, and you want to know if the result is a golden rectangle.

Multiplying dimensions by a constant creates a similar figure, one with all the same dimension ratios as the original.

A "golden rectangle" is one that has an aspect ratio of Φ = (1+√5)/2 ≈ 1.618. Reducing its dimensions horizontally and vertically by a factor of 1/2 does not change that aspect ratio. It is still a golden rectangle.

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Celine has already knitted 0.8 meters. Her final result should be 1.2 meters.

To calculate how many meters Celine has to knit we should subtract the already knitted length of scarf from the entire length. This give the equation:

\(x=1.2m-0.8m\)

x is the unknown

x = 0.4 meters

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

Answer: 4(9+4)

Step-by-step explanation:

(4)(9) = 36

(4)(4) = 16

4(9+4) = 36+16

Answer:

1.2

Step-by-step explanation:

(I am not a good explainer)

Answer:

un lugar, típicamente uno que ha estado previamente deshabitado, donde la gente establece una comunidad.

Answer. I think is A

Step-by-step explanation:

The triangle pairs that can be mapped to one another using both a translation and a reflection across the line containing AB will be A based on the provided information. Triangles A B C and X Y Z are similar. Triangle A is created by reflecting triangle X, Y, and Z across a line. The correct option is A.

The first triangle pair is a pair that can be mapped to one another using both translation and reflection across a line containing AB.

The first figure is made up of the coordinates XYZ and ABC, which are translations and reflections of one another across the line AB.

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Answer: it is A

Step-by-step explanation: just took the test

The values of x and y are 15 and 75, respectively

The statements are given as:

These mean that

x + y = 90

y = 5x

Substitute y = 5x in x + y = 90

x + 5x = 90

Evaluate the sum

6x = 90

Divide by 6

x = 15

Substitute x = 15 in y = 5x

y = 5 *15

Evaluate

y = 75

Hence, the values of x and y are 15 and 75, respectively

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Answer:

C

Step-by-step explanation:

The converse angles Theorem states that if two same side interior angles that are cut by a transversal add up to 180, the lines containing thr transversal are parallel.

The transversal cut line r and s but 143+47=190 not 180.

So c fits this description.

Answer:

Option A.Exponential decay, 55% decrease

we have

This is a exponential function of the form

where a is the initial value

b is the base

b=(1+r)

r is the rate of change

In this problem

a=54

b=0.45

so

0.45=1+r

r=0.45-1

r=-0.55

Convert to percentage

r=-55% ------> is negative because is a exponential decay

Answer:

\(x=4\)

Step-by-step explanation:

\(log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4\)

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

The answer is 8

Step-by-step explanation:

I just took the test

The greatest common factor of 8x and 40y is: 8.

Greatest common factor (HCF) is the largest positive integer that can divide a set of whole numbers evenly. In order words, all the numbers in a set share the same factor, which is the HCF.

Given:

8x and 40y

Both share a factor of 8.

Therefore, the greatest common factor of 8x and 40y is: 8.

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A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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The point (-5, 3) shows the coordinates of c(5, 3) if the trapezoid ABCD on a coordinate plane, with points (2, 1), (3, 5), (5, 3) and (3, 1), is reflected across the y-axis. So the option A is correct.

A graph will appear to be inverted or on the other side of an axis, such as the x axis, when it is mirrored along that axis.

If you look closer, you'll notice that it's symmetrical, meaning that each point is equally spaced from the axis of reflection and the axis of its reflection.

As a result, if you reflect a point (x, y) down the x axis, its x abscissa will remain the same while its y ordinates will negate.

So (x, y) becomes (x, -y).

Similar to this, the picture of a point at coordinates (x, y) along the y axis will be (-x, y)

Trapezium A B C D on a coordinate plane has points (2, 1), (3, 5), (5, 3), and (3, 1).

The following rule applies when a point is reflected across the y-axis:

(x, y) → (-x, y)

C(5, 3) = C'(-5, 3)

So the option A is correct.

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The complete question is:

Which choice shows the coordinates of c if the trapezoid ABCD on a coordinate plane, with points (2, 1), (3, 5), (5, 3) and (3, 1), is reflected across the y-axis?

A. (-5, 3)

B. (3, -5)

C. (5, -3)

D. (-3, 5)

\((-3x^3)^(^-^2^/^3^)\)can be  rewritten in the form of a radical  ∛(1/(-3x³))² or 1/((-3x³)²).

What is a radical in mathematics?

The radical symbol  is used to denote square root or nth roots.

In order to rewrite,  \((-3x^3)^(^-^2^/^3^)\)  as a radical, we can use the property that states the nth root of a number raised to the power of m is equal to the number raised to the power of (m/n).

\((-3x^3)^(^-^2^/^3^)\)  can be written as the cube root of the reciprocal of (-3x³) raised to the power of 2:

\(((-3x^3)^(^-^1^))^(^2^/^3^)\)

simplifying  the expression further, we have :

\(((-3x^3)^(^-^1^))^(^2^/^3^) = (1/(-3x^3))^(^2^/^3)\)

∛(1/(-3x³))²

(1/(-3x³))² = 1/((-3x³)²)

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Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

3men = 4houses= 5days

7men= 14houses= x days

14÷7 = 2days