7x + 3y = 5 find the slope and y intercept and make a new equation find if there’s one solution no solution or an infinite number of solutions 4x + 3y =6 the slope and y intercept and make a new equation find if there’s one solution no solution or an infinite number of solutions

Answer:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Answer:

a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:

Pt = 1/5 = 0.20

The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)

Pe = 15/50 = 0.30

B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.

Answer:

\(15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ\)

Step-by-step explanation:

The ratio of the same side interior angles of two parallel lines is 33:3

When two parallel lines are cut by a transversal, the sum of the same side interior angles is always 180 degrees.

Therefore, the angles are:

\(\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ\)

Therefore, the measure of all eight angles formed by the parallel lines and transversal starting from the upper left (can also be seen in the attached diagram) in a clockwise rotation is:

\(15^\circ,165^\circ,15^\circ,165^\circ\\$Starting from the lower left in a clockwise direction, we have:\\15^\circ,165^\circ,15^\circ,165^\circ\)

Answer:

✨ 15 and 165 ✨

Step-by-step explanation:

Hope this helps you ❤️

Answer:

b and d

Step-by-step explanation:

Answer:

Not independent

Step-by-step explanation:

If P(A/B) = P(A), then independent. If P(A/B) ≠ P(A), then not independent

P(A) = wears glasses P(B) = blue eyes

P(A) P(.35)

.14+.11+.1

P(B) P(.4)

.14+.26

P(A/B) P(.35/.4) =.875

Since P(A/B) ≠ P(A)

.875 ≠ .35

Not independent

The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15

From the question, we have the following parameters that can be used in our computation:

(x, y) = (0, 15) and (5, 90)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15

Using the other point, we have

5m + 15 = 90

So, we have

5m = 75

Divide by 5

m = 25

So, the equation becomes

y = 25x + 15

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Complete question

Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012, (0, 15) and (5, 90)

Answer:

-5/7

Step-by-step explanation:

With the equation y = mx + b, m is the slope of the line.

Since the equation is y = -5/7x - 1, m is -5/7

So, the slope of the line is -5/7

Answer:

m = -5/7

slope = -5/7

Step-by-step explanation:

Use y = mx + b to find the slope m.

Answer:

Step-by-step explanation:

√64+225=8+15=23

or

√(64+225)=√289=17

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3

Linear sequence is a sequence of number in order with same difference .or same ratio.

when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.

The sequence in the given question

-5 , -2 , 1 , 4 , 7, . . . .

The first term of sequence : a₁ = -5

The second term : a₂ = -2

Common difference : d = a₂ - a₁

=> d = -2 - (-5)

=> d = -2 + 5

=> d = 3

The nth rule of linear sequence is aₙ = aₙ₋₁ + d

replacing the value of d

aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.

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Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

The second polygon appears to be the same as the first polygon but shifted 7 units to the right. Therefore, the correct answer is: 7 units to the right.

A closed, two-dimensional shape with straight sides is called a polygon.

Triangles, quadrilaterals, pentagons, hexagons, and other shapes are examples of polygons.

Usually, a polygon's name indicates how many sides it has.

For instance, a quadrilateral has four sides, a triangle has three, and so on.

To create the image, the second polygon A' B' C' D' was moved from its original position to its new position.

Observing the coordinates of the corresponding vertices of the polygons, we see that each vertex of the second polygon was moved 7 units to the right to obtain its new position.

Therefore, the translation used to create the image is 7 units to the right.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The numbers which have only two factors either 1 and the number itself are called prime numbers.

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer:  60°

Step-by-step explanation:

∠UQR = 180°

∠UQR = ∠UQ + ∠QR

  180° =  115° + ∠QR

   65° = ∠QR

∠QRT = 180°

∠QRT = ∠QR + ∠RS + ∠ST

  180° =  65° + ∠RS  +  55°

  180° = 120° + ∠RS

   60° = ∠RS

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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The complex number in standard form is written as:

Z =  1.99 + i*0.201, so the correct option is a

Remember that a complex number can be written in standard form as:

Z = a + b*i

And in polar form the notation is (R, θ):

\(Z = R*e^{i*\theta} = R*cos(\theta) + i*R*sin(\theta)\)

Here we have the complex number:

Z = 2(cos(11pi/6) + i*sin(11pi/6))?

So here we just need to solve these expressions, we will get:

Z = 2*(0.995 + i*0.100)

Z =  1.99 + i*0.201

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Complete question:

"Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6)? "

The equation of the circle that represents the dartboard is (x - 12)² + (y - 17/3)² = 9/16, where the origin is the lower left corner of the room and the unit of the radius is feet.  

The position of Brian's dart is represented by the coordinates (11.5, 5). Brian's dart does land on the dartboard.

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

From the question, we have the following information:

The height of this standard dartboard, k = 5 feet, 8 inches.

The diameter of this standard dartboard = 18 inches.

The bull's eye, h = 12 feet.

Next, we would convert the all of the units in inches to feet as follows:

Height, k = 5 + 8/12

Height, k = 5 + 2/3

Height, k = 17/3 feet.

For the diameter, we have:

Diameter = 18/12

Diameter = 3/2 feet.

Also, we would determine the radius as follows:

Radius, r = diameter/2

Radius, r = (3/2)/2

Radius, r = 3/4 feet.

Substituting the parameters into the standard equation, we have;

(x - 12)² + (y - 17/3)² = (3/4)²

(x - 12)² + (y - 17/3)² = 9/16

Next, we would determine whether Brian's dart land on the dartboard:

(x - 12)² + (y - 17/3)² < 9/16

(x - 12)² + (y - 17/3)² < 9/16

(11.5 - 12)² + (5.5 - 5.67)² < 0.5625

0.25 + 0.0289 < 0.5625

0.2789 < 0.5625 (Yes, it does land because it's within the circumference of this standard dartboard).

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Answer:

2.50

There is a total of 7 items that cost 17.50

17.50 divided by 7 is 2.50

Answer:

A pretzel and a drink cost the same: $2.50

Step-by-step explanation:

\(3p+4d=17.50\)

\(p=d\)

Then:

\(3(d)+4d=17.50\)

\(3d+4d=17.50\\7d=17.50\)

\(d=17.50/7\)

\(d=2.50\)

\(p=d=2.50\)

Hope this helps.

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

WE know that

• She threw 25 times.

• She made 11 of them.

To know the percentage number that 11 presents, we just have to divide

Then, we multiply by 100 to express it in percentage

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.