5 pointsWhich is the image of vertex Lafter the triangle is rotated 180 degrees about the origin?

Answer: m = -5 and b = -6

Given that 10x + 2y = -12

The slope - intercept form of equation is written as

y = mx + b

where m = slope and b = intercept

This equation can be re-arrange as

2y = -12 - 10x

2y = -10x - 12

Divide all through by 2

2y/2 = -10x/2 - 12/2

y = -5x - 6

From, y = mx + b

m = -5 and b = -6

Problem:

Solution:

Remember that the slope-intercept form of the line is given by the formula

y = mx+b

where m is the slope of the line, and b is the y-intercept of the line (when x = 0). Now, let the following equation:

-4x+2y= 8

to rewrite it in the form slope-intercept form (y = mx+b), then we should solve the given equation for y, that is:

2y = 4x +8

If we divide by two we obtain the equivalent:

y = 2x + 4

then 2 is the slope of the line and (0,4) is the y-intercept. Then, we can conclude that the graph of this line is:

Answer:

use followimg steps to your answer

Explanation

In the question, we are given the number of pets for 12 students below.

The mode of a set of values is the number that occurs the most in the data set. Based on this definition, we can go through the data set and pick the number that represents the above concept.

From the above, we can see that three numbers embodies the definition of a mode. Therefore the mode of the data set is

Answer

headbandThe illustration of the question is shown below

Since a length of 8 yards of the fabric is bought

Using j to represent the number of the head band

To determine the number of headbands that can be made from the fabric, we will simply divide 8 by j

=>

The cost of manufacturing C(x) = 2658 in a day is $2658

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given from the part A of solution :

the linear function that models the situation is C(x) = 75x + 1908

Now, for cost of manufacturing C(x) = 2658 the value of x will be :

C(x) = 75x + 1908

2658 = 75x + 1908

75x = 2658-1908

75x = 750

x = 10

Therefore, the cost of manufacturing C(x) = 2658 in a day is $2658

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Given

Set x=6; then,

If x=6, y=2

The function which represents the phone rate is a straight line, which can be gotten by the following formula:

Where m is the slope, and b the point where the y-axis is crossed by the line.

Let's get the slope first:

And b = 25 because (0, 25) is where the line has crossed the cost axis.

Therefore:

The angle the pole makes with the tent is 39.7°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.

Angles formed by two rays are located in the plane containing the rays.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

cos(θ) = 20/26

θ = 39.7°

Therefore, the angle the pole makes with the tent is 39.7°.

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Solution:

Given a right right rectangular prism with made of of unit cubes

Note that A unit cube has 6 square faces with each side 1 unit long

Volume of a unit cube = 1 x 1 x 1 = 1 cubic unit

Total unit cubes present = 60 unit cubes.

To find the volume of the prism by whole unit cube:

The volume of the prism with the whole unit cube = volume of 1 unit cube x 60 = 1 x 60 = 60 cubic units

To find the volume with 1/2 unit cube:

If the divide each of the 60 units cubes into half, we will have a total of 120 half unit cubes

Volume of a half unit cube = (Volume of a unit cube) / 2

= 1/2 = 1/2 cubic unit

Thus, The volume of the prism with the half unit cubes = 120 x volume of a half unit cube

= 120 x 1/2 = 60 cubic units

In conclusion, the difference between finding the volume of the prism by whole unit cubes and 1/2 unit cubes is that the that the volume of each 1/2 unit cube will be multiplied by 120 while that of each whole unit cube will be multiplied by 60

The order from least to greatest to satisfy the inequality  t < -3 is (-∞, -2).

For the given question,

The inequality is given as;

t < -3

For the inequality to be true the value of 't' must be less than -3.

Thus, the values will range between.

(-∞, -2)

Where, -∞ represents the least value and -2 shows the greatest value for 't'.

Thus, the order from least to greatest to satisfy the inequality  t < -3 is (-∞, -2).

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Part A:

Given 900 dollars

Interest rate = 4.5%

Value at the end of 5 years

900 × 4.5% × 5 = $226.62

900 + 226.62 = 1,126.62

= 1,126.62 after 5 years

Part B: Given 900 dollars is placed in a saving account

interest rate = 4.5% semiannually (which means twice a year)

We need to find the value after 5 years

Since it's semiannually it's twice a year

5 × 2 = 10

900 × 4.5% (interest rate) × 10

900 × 4.5% × 10 = 510.29

510.29 + 900(intital amount) = 1,410.29

= $1,410.29 after 5 years

As given by the question

There are given that the truck rent is $20 plus $0.30 per mile.

Now,

The equation of the given statement is shown below:

Then,

From the given equation, solve for the value of x

So,

The value of gold is always changing. Last year, Max had a 0.2-ounce piece of gold appraised at $148.96. This year he had a 0.24-ounce

piece of gold appraised at $222.84. How much had the price of gold per ounce changed between Max's appraisals?

O A. $73.88​

last year

w=0.2 ounces

price= $148.96

this year

w=0.24 ounces

price=$222.84

Let's find the price per ounce for the last year

Now for this year

Now, the change

so the answer is $183.7

Answer: Your answer will be D.

usLet u s fully expand the first equation

8 - 4p + 12 =52

simpliying gives

20-4p=52

subtracting 20 from both sides gives

-4p = 32

and finally, dividing both sides by -4 gives

p = 8

For the second equation, expanding LHS gives

-2 - 14

The length of UT is 12

Generally, the property of the centroid is that it is at a point that splits the length of the median into a ratio of 1 to 2

What this mean in this case is that if we look at the centroid U, it splits PT into PU and UT which are in the ratio of 2 to 1

Hence, from the above, we can deduce that UT is exactly half of PU

Thus;

74 is the median and mode of the data set, that is, option 3.

Here, we are given a set of observations- 68, 74, 66, 78, 72, 80, 74

Mean = sum of all observations/ number of observations

Thus, the mean of the data is-

Mean =  (68 + 74 + 66 + 78 + 72 + 80 + 74)/ 7

= 512/ 7

= 73.14

Now, to calculate the median of the data, we arrange it in ascending order-

66, 68, 72, 74, 74, 78, 80

Since, the number of observations are odd, the median will be the (n+1)/2th term.

= (7+1)/2

= 4th term

The 4th term is 74. Thus, the median is 74.

Now, the mode is that observation that appears the maximum number of times.

Here, all the numbers appear only once, except 74 which appears twice. Thus, the mode is 74.

Hence, we find that 74 is the median and mode of the data set, that is, option 3.

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Yes. (-6) raised to -4 power equal -6 to the -4 power

What is exponentiation ?

Exponentiation is a mathematical operation, written as [tex]b^{n}[/tex], involving two numbers, the base b and the power n it is read as b raised to n.

We have asked that whether [tex](-6)^{-4}[/tex] is equal to [tex]-6^{-4}[/tex]

Now we solve both the sides to show that they are equal

[tex](-6)^{-4}=(\frac{-1}{6} )^{4}[/tex]

Now for the right hand side

[tex]-6^{-4} =\frac{-1}{6} ^{-4}[/tex]

Both the values are same

Hence, Yes. (-6) raised to -4 power equal -6 to the -4 power

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Answer

x = -7/2, 7/2

Step-by-step explanation

Given the equation:

Subtracting 9 at both sides of the equation:

Dividing by -1 at both sides of the equation:

Now we have two options:

Solving the first option:

Solving the second option:

The distribution is normal with u=0.261 and u= 0.034, hence N(0.261, 0.034).

a) Draw a normal density curve for the batting average distribution. The typical derivation of the mean uses label points 1, 2, and 3.

b) Average above 0.329 are

   100% - 95% = 5%

B/C its symmetric, 5%/2= 2.5%

c) The batting averages between 0.227 and 0.295 are 68%

Alternative method,

The normal distribution is used to determine that X% of players are in danger.

The z-score formula can be used to resolve issues related to normal distributions.

The Z-score quantifies the deviation of the statistic from the mean in standard deviations. The p-value for this Z-score is then located by consulting the z-score table after the Z-score has been determined. The risk that the measure's value is below X, or the percentile of X, is given by this p-value. The likelihood that the value of the measure is higher than X is obtained by deducting 1 from the p-value.

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Answer

Option Y is correct.

Explanation

We are told that the slope is multiplied by (1/2) and the y-intercept is increased by 3 units.

The original graph has a y-intercept (point where the graph crosses the y-axis) at point y = 1. Adding 3 units to that, changes the y-intercept to y = 4.

And that leaves options X and Y as viable answers.

But the original graph is positive sloping, and multiplying the slope by (1/2) only spreads the graph out more along the y-axis, it doesn't change the direction of the graph like option X has been changed to be negative sloping. This would only happen if the slope was multiplied by a negative number.

So, this leaves us with only Option Y as the viable answer.

And to be absolutely sure, we can go further and calculate the slope of the original graph and the graph in option Y.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

For the original question,

(x₁, y₁) and (x₂, y₂) are (0, 1) and (-1, -1)

For the option Y,

(x₁, y₁) and (x₂, y₂) are (0, 4) and (-1, 3)

1 is indeed half of 2. This confrims our answer.

Hope this Helps!!!

Answer:

2/5

Step-by-step explanation:

2 can also be written in fraction form as 2/1

So, you have 2/1 times 1/5. So, you multiply numerators and you multiply denominators.

Numerators: 2 times 1 =2

Denominators: 1 times 5 =5

So, you have 2/5

Notice that the sequence has a common ratio of 4:

The n-th term of a sequence with first term equal to a and common ratio r is:

The first term of this sequence is 15 and the common ratio is 4, then the nth term is:

Substitute n=6 to find the 6th term:

Therefore, the 6th term of the sequence, is:

Earthquakes are caused by human activity, like tunnel construction, filling reservoirs that leads to a sudden release of stress along faults in the earth's crust.

An earthquake is caused as a result of a sudden slip on a fault in the earths outermost layer.

The genesis of this discussion is that the tectonic plates are usually moving slowly. However, these tectonic plates may  get stuck at their edges as a result of undergoing friction. Now, after the stress on the edge overcomes the friction, there would be an earthquake that would release energy in form of waves travelling through the earth's crust that leads to the shaking of the earths surface that humans experience in an earthquake.

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The value is 22

Given:

To find:

the value of the expression when w = 4 and x = 2

To determine the value, we will substitute the values for x respectively and w :

Given:

A movies rent for $3.00 except on tuesday, the rent is $0.49.

The cost saved by renting a movie on a Tuesday is,

The percentage is,

Answer: option B)