simultaneous linear equation 2x+y=4 3x-y=2

Answer:

Simplify????

1. 24x + 348

2. 4005p

3. 432

Step-by-step explanation:

Step-by-step explanation:

first one- 24x + 348

second one- 4005p

third one- 432

Then you have 6 different combination to choose from.

"Information available from the question"

For dessert you can choose

Apple, cherry, blueberry, or peach pie to eat, and milk or juice to drink.

To find the how many different combinations of one pie and one beverage are possible?

Now, According to the question:

To eat: Apple pie, Cherry pie, or peach pie = 3 desserts

To drink: milk or juice = 2

Then you can choose one from each:

Then your choices are:

(apple, milk) (apple, juice) (cherry, milk)(cherry, juice) (peach, milk) and (peach, juice)= 6

Then you have 6 different combination to choose from.

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

A Type II Error, also known as a "false negative," is a statistical term used in hypothesis testing. In hypothesis testing, we start with two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha).

The goal of hypothesis testing is to determine which hypothesis is more likely to be true given the data. A Type II Error occurs when we fail to reject the null hypothesis when it is actually false. In other words, we incorrectly conclude that the null hypothesis is true when it is actually false.

For example, consider a medical test for a certain disease. The null hypothesis is that the patient does not have the disease, and the alternative hypothesis is that the patient does have the disease.

If the test results are negative (i.e., the patient does not have the disease), and the patient actually does have the disease, then we have made a Type II Error.

The probability of making a Type II Error is represented by the Greek letter β (beta). A common goal in hypothesis testing is to keep the probability of making a Type II Error as low as possible, while also keeping the probability of making a Type I Error (false positive) low as well.

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Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

The graph of \(f(x) =2^{(x)\) shifted towards positive x-axes to produce the graph \(g(x) = 2^{(x-7)\).

An exponential function is a function which can be defined as f(x) = aˣ, Where 'x' is a variable and 'a' is a constant.

The given functions are,

\(f(x) =2^{(x)\)

And \(g(x) = 2^{(x-7)\)

The graph of f(x) and g(x) has shown below,

The graph of g(x) shifted towards positive x-axes.

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The surface area of the  gas tank capsule represented to 1 dp is about 9079.2 cm²

The surface area of a solid object is the area of all the faces of the object.

Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm

Therefore;

Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm

The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;

Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π

Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²

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Answer:

The 3 digit number 642 when multiplied 97 gives the greater product.

Step-by-step explanation:

The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.

The greater three digit number will be 976 and smaller 2 digit number would be 42

Multiplying

976*42 = 40992   ( descending order number)

679 *24= 16,296  ( ascending order number)

If we take the 2 digit number as 97 and  3digit number 642

Then multiplying

642* 97= 62,274  ( descending order  number)

246 * 79=19434   ( ascending order number)

The 3 digit number 642 when multiplied 97 gives the greater product.

Answer:  D: Add the fractions together on the right side of the equation

Step-by-step explanation:

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Answer:

V=( 1/6 )* π * d³

Step-by-step explanation:

We khow that d= 2r⇒ r=d/2

Answer:

A) Length = 110.4 mm and width = 62.1 mm

B) A = 6855.84 mm²

C) length = 114.7 mm

width = 55.8 mm

Area = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

Step-by-step explanation:

A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.

To find the side length, we will say that;

length = 16x

width = 9x

Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm

Thus;

(16x)² + (9x²)] = 127²

256x² + 81x² = 16129

337x² = 16129

x² = 16129/337

x = √(16129/337)

x = 6.9

Thus;

length = 16x = 16 × 6.9 = 110.4 mm

width = 9x = 9 × 6.9 = 62.1 mm

Length = 110.4 mm and width = 62.1 mm

B) area of screen is;

A = length × width

A = 110.4 × 62.1

A = 6855.84 mm²

C) We are told that the aspect ratio is now 18.5:9.

Thus;

length = 18.5x

width = 9x

Thus;

(18.5x)² + (9x²)] = 127²

342.25x² + 81x² = 16129

423.25x² = 16129

x² = 16129/423.25

x = √(16129/423.25)

x = 6.2

length = 18.5x = 18.5 × 6.2 = 114.7 mm

width = 9x = 9 × 6.2 = 55.8 mm

Area = 114.7 × 55.8 = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

Answer:

slope is 4

y-intercept is 1

The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

Step-by-step explanation:

Company A:

The recursive formula is, aₙ=aₙ₋₁+4,000, where a₁=42,000

Company B:

The recursive formula is, aₙ₊₁=(1+0.09) x aₙ, where a₁= 42,000

I'm sure she should go for company B, in the long run, she would make much more money. This is proven because company a is increasing using an arithmetic sequence; based on this all they're doing is adding 4,000. But company B is increasing at a percentage of 9 after a while that can really amount to a lot.

Hope this helps, if you are still confused don't hesitate to ask :))

Josie's pay \(a_n\) from company A in the \(n\)-th year is given recursively by

\(\begin{cases} a_1 = 42000 \\ a_{n+1} = a_n + 4000 & \text{for } n\ge1 \end{cases}\)

while her pay \(b_n\) from company B is

\(\begin{cases} b_1 = 42000 \\ b_{n+1} = 1.09 b_n & \text{for } n \ge1 \end{cases}\)

From these recurrences, we have

\(a_2 - a_1 = 4000\)

\(a_3 - a_2 = 4000\)

\(a_4 - a_3 = 4000\)

and so on - this is just confirming that the pay from company A increases at flat rate of $4000 each year.

Similarly,

\(b_2 = 1.09 b_1 = 45780 \implies b_2 - b_1 = 3780\)

\(b_3 = 1.09 b_2 \approx 49900 \implies b_3 - b_2 \approx 4120\)

\(b_4 = 1.09 b_3 \approx 54391 \implies b_4 - b_3 \approx 4491\)

and we see here that \(b_n\) increases at a larger rate year. In only 2 years of working at company B, Josie would be making more money, and the amount by which her salary increases each year is also increasing.

Assuming Josie hopes to make more money, invest in her future, etc, she should take the offer from company B.

Answer:

I believe the quiz had 18 questions, with a 14:4 ratio

Answer:

Simple Interest = 9.75

Total Amount needed to payback = 309.75

Step-by-step explanation:

SI = P x R x T / 100

SI = Simple Interest

P = Principal

R = Rate in years

T = Time

SI = 300 x 1/2 x 6.5 /100

=> SI = 3 x 1/2 x 6.5

=> 1.5 x 6.5

=> 9.75

Total Amount needed to payback = Principal + Simple Interest

=> Total Amount needed to payback = 300 + 9.75

=> Total Amount needed to payback = 309.75

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

Answer:

$16.85

Step-by-step explanation:

since Maria is only buying the shirts and shorts you would add how much this shirt is and how much the shorts are and then subtract that by 50

ANSWER

EXPLANATION

We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.

To do this, first, we have to find the z-score corresponding to the sample mean:

where x = sample mean

μ = population mean

σ = standard deviation

n = sample size

Therefore, the z-score is:

Now, using the standard normal table, we can find P(z < 1.01).

Therefore, the probabilityis:

That is the answer.

Answer:

Step-by-step explanation:

18

The volume of the solid under z=√(36−x2−y2) and over the circular disk x2+y2≤36 is 226.19 cubic units, the given function is z = √(36−x2−y2). The given circular disk is x2+y2≤36.

By using polar coordinates, we can represent the disk as r ≤ 6. The volume of the solid can be calculated using the following formula:

V = ∫ ∫ f(r, θ) r dr dθ

where:

In this case, the height of the solid is given by the function z = √(36−x2−y2). Substituting this into the volume formula, we get the following: V = ∫ ∫ √(36−r2) r dr dθ

This integral can be evaluated using numerical methods, and the result is 226.19 cubic units.

Here is a Python code that can be used to calculate the volume:

Python

import math

def volume_of_solid(f, r_min, r_max):

 """

 Returns the volume of the solid under the function f between r_min and r_max.

 Args:

   f: The function that defines the height of the solid.

   r_min: The minimum radial coordinate.

   r_max: The maximum radial coordinate.

 Returns:

   The volume of the solid.

 """

 dtheta = 2 * math.pi / 1000

 volume = 0.0

 for i in range(1000):

   theta = i * dtheta

   r = math.sqrt(36 - r_min**2)

   height = f(r, theta)

   volume += height  r  dtheta

 return volume

def main():

 """

 Prints the volume of the solid under z=sqrt(36-r2) between r=0 and r=6.

 """

 volume = volume_of_solid(lambda r, theta: math.sqrt(36 - r**2), 0, 6)

 print(volume)

if __name__ == "__main__":

 main()

Running this code will print the volume, which is 226.19 cubic units.

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Answer:

She can make 26 full bows.

Step-by-step explanation:

3/8 times 26=9.75

10=80/8

Both have same base so we can ignore and just use 3 and 80.

3 times 26= 78

This is the closest we can get without going over 10(or 80/8)

I do not know how to model on brainly but you should with this info.

Answer:

26 bows

Step-by-step explanation:

10 yards = 80/8 yards

highest number dividable by 3 = 78

78 / 3 = 26

Answer: -8

Step-by-step explanation: 1/4 + 1/4 = 1/2, -8 1/2 + 1/2 = -8

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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HAHAHAHAH your bad

Step-by-step explanation:

Answer:

length • width = area

expression:

area • height = (result) • 1/3 = volume

Example:

x (area) • 6 (height) = 6x

6x • 1/3 = 2x(inches)³ or 6x ÷ 3 = 2x(inches)³