Abigail is investing in the stock market and has a maximum budget of $6,300 with which to purchase stock in two promising companies. stock in the software company currently sells for $42 per share. stock in the robotics company is currently trading at $8 per share. write the inequality in standard form that describes this situation. use the given numbers and the following variables

The equation of the line that is parallel to 3y - x = - 12 and passes through (18, 2) will be 3y - x + 12 = 0.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation is given below.

3y - x = - 12

The equation of the line that is parallel to the given line is given as,

3y - x + d = 0

The equation that passes through (18, 2) will be given as,

3(2) - 18 + d = 0

6 - 18 + d = 0

d = 18 - 6

d = 12

Then the equation of the parallel line will be 3y - x + 12 = 0.

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Answer:

(1,-1)

Step-by-step explanation:

my guy, are you good? dude this question is so easy l m a o

anyways, heres the explanation

where there is an "x," replace it with a 1

so: -4-9y = 5

-9y = 9

y = -1

and the question already gives you what x is so:

(x,y)

(1,-1)

On solving the provided question, we can say that equation for the question will be  (n - 1) x 3/4

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation for the question will be

(n - 1) x 3/4

Value of the computer

at time 0 = $800

at time 1 = $800 x (3/4) x 1 = $600

at time 2 = $600 x 3/4  = $450

Value of the computer at time 3 = $450 x 3/4 = $337.50

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Answer:

x = 16

y = 11

Step-by-step explanation:

x+y = 27

x-y = 5

__________

2x = 27+5

2x = 32 /:2

x = 16

16+y = 27

y = 27-16

y = 11

When we decrease the exponent of 10 by 1, the number becomes one-tenth of the previous number.

For the fixed base(10), if the exponent decrease by 1, the number will becomes one-tenth of the previous number.

The Power Rule for Exponents is (a^m)^n = a^m*n. To increase a number with an exponent to a power, we need to multiply the exponent times the power. Negative Exponent Rule is x^-n = 1/x^n. We need to invert the base to change a negative exponent into a positive.

Exponents are used to represent repeated multiplication of a number by itself. For example, 7 * 7 * 7 can be showed as 73. Here, the exponent is 3 that stands for the number of times the number 7 is multiplied. The base here is 7 that is the actual number which is getting multiplied. So, initially exponents or powers shows the number of times a number can be multiplied. If the power is 2, it means the base number is multiplied two times with itself.

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The volume of the square pyramid is 2011.4 ft². The result is obtained by multiplying the area of base by height of the pyramid, then dividing it by 3.

A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.

The volume of the pyramid can be expressed as

V = ⅓ Bh

Where

A pyramid with a square base has the side length of base of 19.3 ft. The height of the pyramid is 16.2 ft. Find the volume of the pyramid!

The area of base is

B = s²

B = 19.3 × 19.3

B = 372.49 ft²

The volume of the pyramid is

V = ⅓ Bh

V = ⅓ (372.49 ft²) (16.2 ft)

V = ⅓ (6034.338) ft²

V = 2011.446 ft²

V ≈ 2011.4 ft²

Hence, the volume of the pyramid with a square base is 2011.4 ft².

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A 95% confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in the confidence interval.

[tex]$p=\frac{17}{125}=.130$[/tex]

[tex]$2=\frac{.136-.15}{.03^2}$[/tex]

[tex]$(-4 a,=0.44)$[/tex]

This is the range of values that, with a certain degree of confidence, you would anticipate your estimate to fall within if you repeated your test. Another approach to describe probability in statistics is confidence. An interval of confidence shows the likelihood that a parameter will fall between two values close to the mean.

Measured by confidence intervals, the level of a sampling technique's uncertainty or certainty. Both regression analysis and hypothesis testing make use of them. As a typical method for estimating intervals, confidence intervals are frequently utilized. It's possible that if you've ever used this method, you've run into the following statement: For a 90% confidence interval, there is a 90% possibility that a real parameter resides within that interval.

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From the linear function, at 50 degrees, the seller will sell 58 hot dogs, at 114 degrees, she will sell 35 hot dogs and from the line of best fit she will sell 3 hot dogs at every 10 degrees rise in temperature

When plotted, a linear function is a sort of mathematical function that visually displays a straight line. A formula of the form y = mx + c, where m is the line's slope and c is its y-intercept, is used to describe it.

The linear function given is;

y = (3/10)x + 8

Where;

a) At 50 degrees, the number of hot dogs

Substituting the values into linear function;

y = 3/10(50) + 8

y = 150 / 3 + 8

y = 50 + 8

y = 58

The seller will sell 58 hot dogs at 50 degree

b) The temperature at which they will sell 35 hot dogs is;

y = (3/10)x + 8

35 = 3/10(x) + 8

35 * 10 = 3x + 8

350 = 3x + 8

3x = 350 - 8

3x = 342

x = 342 / 3

x = 114

The temperature at which they'll sell 35  hot dogs is 114 degrees

c) Based on the line of best-fit, for every 10 degree rise in temperature, she will sell 3 hot dogs.

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Given that ABC is a right-angled triangle and that AB, BC, and CA are tangents to the circle, the value of x is 2 cm.

Since a triangle has three parts and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to one triangle that has vertex shader A, B, and C. When the three principles are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sections and three corners. The points where the sides meet are known as the triangle's corners.

given

To find : radius 'r' of the incircle.

ABC is a right angled triangle

=100

⇒ BC= 100 =10cm

Since area of right anged triangle = 1/2×base×height

⇒ Area of △ABC= 1/2×6×8

=3×8=24cm 2

⇒ Area of △ABC=24cm 2 ....(1)

Also, Area of △ABC= area of △OAC+ area of △OBC+ area of △OBA

= 1/2 ×r×8+ 1/2 ×r×10+ 1/2 ×6×r= 1/2* r(8+10+6)= 1/2r(24)=12r....(2)

Equating (1) and (2) 12r=24

⇒ r= 12/24 =2cm

Given that ABC is a right-angled triangle and that AB, BC, and CA are tangents to the circle, the value of x is 2 cm.

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The complete question :- In fig. 4 triangle ABC is a right triangle with AB=6 cm, AC=8 cm and ∠A=90∘ . A circle with center O is inscribed inside the triangle. Find the radius 'r'

Each member would receive 0.8 pizza.we divided the number of pizzas (400) by the number of members (5) to get 8.

1. Divide the number of pizzas (4) by the number of members (5): 4 ÷ 5 = 0.8

2. Each member would receive 0.8 pizza.

Each member would receive 8 pizza.

1. Multiply the number of pizzas (4) by the number of members (100): 4 x 100 = 400

2. Divide the number of pizzas (400) by the number of members (5): 400 ÷ 5 = 8

3. Each member would receive 8 pizza.

If The Robotic team ordered 4 pizza and only 100 members showed up, each member would receive 8 pizza if the pizzas are shared equally. To calculate this, we first multiplied the number of pizzas (4) by the number of members (100) to get 400. Then, we divided the number of pizzas (400) by the number of members (5) to get 8. Therefore, each member would receive 8 pizza.

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Answer:

2^2 would be 4

Step-by-step explanation:

The average retail price of Raymond's vehicle is $24,400.

What is Average Retail Price?

Average price is a measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined. The average price reduces the range into a single value, which can then be compared to any other point to determine if the value is higher or lower than what would be expected.

average retail value = $17,600

All the additions to the average retail value are;

$1,700 for 4-wheel drive

$475 for an entertainment system

$800 for a special trim package

$225 for power locks

$125 for a sliding rear window

$325 for a towing package

$250 for power windows

$3,125 for a diesel engine

$450 for less than expected mileage

Deductions

$675 for having a manual transmission

Average retail price = Average retail value + additions - deductions

Average retail price = $17,600 + ($1,700+$475+$800+$225+$125+$325+$250+$3,125+$450) - $675

Average retail price = $17,600 + $7,475 - $675

Average retail price = $24,400

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Answer:

The car can only last for 5 hours.

That's the answer I got.

5.84269662

Step-by-step explanation:

Alright so say I was driving for 2 hours I would have,

342 miles left.

If I were driving for 3 hours I would have,

253 miles left.

If I were driving for 4 hours I would have,

164 miles left.

Now if I were driving for 5 hours I would have,

75 miles left.

The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

k² - 4k + 1 = 5

Simplify the equation, then we have

k² - 4k + 1 = 5

k² - 4k - 4 = 0

Factorize the equation, then we have

k² - 4k - 4 = 0

k² - 2k - 2k - 4 = 0

k(k - 2) - 2(k - 2) = 0

(k - 2)(k - 2) = 0

k = 2, 2

The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.

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The correct equation is given as,k² - 4k + 1 = 5

Answer:

Step-by-step explanation:

no way to answer

The four types of bar graphs as follows:

Vertical Bar Graph.

Horizontal Bar Graph.

Grouped Bar Graph.

Stacked Bar Graph.

Rectangular bars are used in the particular type of data visualisation known as a bar graph, with the length of each bar matching to the value it represents. With the aid of rectangular bars that display the data's measure, the provided data is shown vertically in a graph or chart in a vertical bar graph. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure.

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Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

A formula for a mathematical equation combines two statements by using the equal sign (=) to denote equivalence. An equation in algebra is a statement proving the equality of two mathematical equations. For instance, the two numbers are connected by the equation 5x + 5 = 14. A mathematical relationship is built between the sentences on either side of a letter. Usually, the symbol serves as the only variable and the only factor. For instance, 8x - 4 = 2.

Here,

the specified point's coordinates are (3, -2).

Now,

(I) The image's coordinates that are reflected in the x-axis are (3, 2)

(ii) The coordinates for the picture that is mirrored in the y-axis are (-3, -2)

(iii) The point's coordinates for the x-axis reflection and the y-axis reflection will indeed be (-3, 2).

(iv) The point's coordinates that are reflected inside the source would be (-3, 2).

Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

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The slope of the line is -4.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

From the diagram, the graph passes through point ( 0,2) and (1,-2)

Point 1( 0.2 )

x₁ = 0

y₁ = 2

Point 2( 1,-2 )

x₂ = 1

y₂ = -2

To determine the slope of the line, plug the coordinates into the above slope formula.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( -2 - 2 )/( 1 - 0 )

Slope m = ( -4 )/( 1  )

Slope m = -4/1

Slope m = -4

Therefore, the slope of the line is -4.

Option A is the correct answer.

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Answer:

See below

Step-by-step explanation:

Here is one possibility:

Answer:easy

Step-by-step explanation:

In general, a larger sample size is more likely to represent the population than a smaller sample size. This is because a larger sample size increases the chances that the sample will be representative of the population.

When the sample size is that larger, there is a lower chance of getting a skewed or biased sample. A larger sample size also tends to have less variability in the sample statistics, making it more likely to provide accurate estimates of population parameters.

However, it is important to note that increasing the sample size does not guarantee that the sample is representative of the population. The sampling method used, and the way the sample is selected, can also have an impact on the representativeness of the sample.

Hence, surveying 100 students is more likely to represent the population than surveying a smaller sample size like 10 students, but it does not guarantee a perfect representation of the population.

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Answer:

I think 35

Step-by-step explanation:

An acute triangle is a triangle with all three angles less than 90 degrees.

An example of an acute triangle is a triangle with angles measuring 30 degrees, 55 degrees, and 95 degrees. Using the Law of Cosines, we can calculate the side lengths of this triangle. The side opposite the 30 degree angle is 4.8, the side opposite the 55 degree angle is 5.2, and the side opposite the 95 degree angle is 8. The Law of Cosines states that the following equation must be true: a2 = b2 + c2 - 2bc Cos A. In this case, a2 = 82, b2 = 52, and c2 = 42. We can then solve for the sides of the triangle by plugging in the values for a2, b2, and c2 into the equation. The result is that the side lengths of this triangle are 4.8, 5.2, and 8.

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Answer:

20x -64

Step-by-step explanation:

(−2)5x(−2)-3 2×2​

2x5x x2-32x2

20x-32 x 2

20x -64

The value of x in the quadrilateral is 23.

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of exterior angles in a quadrilateral is 360 degrees.

Therefore, let's find the value of x in the quadrilateral.

Hence,

6x + 5x + x + 16 + 3x - 1 = 360

combine like terms

6x + 5x + x + 3x + 16 - 1 = 360

15x + 15 = 360

subtract 15 from both sides of the equation

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

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According to the normal distribution data given the value for x is obtained as 687.5.

What is normal distribution?

One of the families of continuous distributions, the standard normal distribution has a mean of zero and a standard deviation of one. Since most observations are grouped around the mean and mean=median=mode, the distribution is symmetric at the mean zero.

The value for mean is μ = 700.

The value for standard deviation is σ = 50.

The probability value is 0.6.

Use z score formula to solve for value of x -

P (X>x) = 0.6

0.6 = 1 - P (X>x)

0.4 = P[{(X-μ)/σ} ≤ {(x-700)/50}]

z0.4 = (x-700)/50

-0.25 = (x-700)/50

x = (-0.25 × 50) + 700

x = -12.5 + 700

x = 687.5

Therefore, the value for x is 687.5.

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When the slope is given as 2, the result of the slope intercept form is y = 2x + c where m stands for the slope and c for the y-intercept .

The intersection point is the location on the y-axis where the slope of the line crosses. where the y-axis crosses that point on a line or curve. By using y = mx+c as the equation for the straight line, where m stands for the slope and c for the y-intercept, this is proven. The slope (m) and y-intercept (b) of the line are denoted in the intercept form of the equation. For equations of the intercept form (y=mx+b), the slope and y-intercept, respectively, are m and b. Furthermore, some equations may be rewritten to appear as slope intercepts. For instance, the slope and y-intercept change to 1 and 0 respectively when y=x is represented as y=1x+0.

given

slope ( m ) = 2

= y = 2x + c

When the slope is given as 2, the result of the slope intercept form is y = 2x + c.

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Answer:

Step-by-step explanation:

To write 45.52 as a fraction you have to write 45.52 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

45.52 = 45.52/1 = 455.2/10 = 4552/100

And finally we have:

45.52 as a fraction equals 4552/100