so if I'm multiplying right. Would it be -2*2 or -2*-2​

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The sum of resistors arranged in parallel is the inverse of the sum of the inverses of the magnitudes of the individual resistances

The correct option for the resistance of the second light bulb in ohms (Ω) is option B;

B. 240

The reason why option B is the correct answer is s follows:

Known parameters:

Based on a online search, the question appears to have some parts missing which can be as follows;

The resistance of the first light bulb = 120 Ω

Janine's model of the total resistance of the circuit, \(t = \mathbf {\dfrac{120 \cdot r }{r + 120} }\)

Where;

r = The resistance of the second light bulb

The unknown parameter:

Resistance of the second light bulb

Method:

Find r using Janine's  model of the total resistance, which is the equation of total resistances in parallel arrangement

The inverse relationship modelling the sum, t, of resistances, r, and 120, arranged in parallel, presented as follows;

\(\mathbf {\dfrac{1}{t} } =\dfrac{1}{120} + \dfrac{1}{r}\)

∴ \(\mathbf {\dfrac{1}{t}} = \dfrac{r + 120 }{120 \cdot r}\)

Therefore, by finding the inverse of both sides of the above equation, we get Janine's model as follows;

\(t = \mathbf {\dfrac{120 \cdot r }{r + 120} }\)

The above equation is the inverse equation modelling the total resistance of the parallel arrangement of the resistances in the lightbulb

The question details include:

The total resistance in her circuit, t = 80 Ω

Solution:

Plugging in t = 80 in \(t = \mathbf {\dfrac{120 \cdot r }{r + 120} }\), gives;

\(80 = \mathbf {\dfrac{120 \cdot r }{r + 120} }\)

Therefore, we get;

80·(r + 120) = 120·r

80·r + 80 × 120 = 120·r

∴ 120·r - 80·r = 80 × 120 = 9,600

120·r - 80·r = 40·r

∴ 40·r = 9,600

r = 9,600/40 = 240

The resistance of the second light bulb, r = 240 Ω

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Answer:240

Step-by-step explanation:

i watched the walk through

Answer:

0.9973

Step-by-step explanation:

Given :

Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481

1 - p = 0.481

n = 9

Probability that atleast one is girl

Usingbthe binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

USing the binomial probability calculator :

p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)

p(x ≥ 1) = 0.9973 ( from calculator).

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

Answer:

4) Larger/smaller, Size

5) Whichever are larger then the original, depends on if green or blue is original

Step-by-step explanation:

Answer:

1) g is the dependent variable.(A)

2) u is the independent variable.(D)

Step-by-step explanation:

Answer:

Brainilest!

Step-by-step explanation:

V = (15 x 28) / 3

V = 140 in ^3

Answer:

V=140 in³

Step-by-step explanation:

\(V=\frac{Bh}{3} \\\\B=15\\\\h=28\\\\V=\frac{15*28}{3} \\\\V=\frac{420}{3} \\\\V=140in^3\)

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

Answer:

If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:

f(x) = (x-1)(ax + b)

where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:

f(x) = (x-1)(ax + b) = 4x² - 4x - K

Expanding the left side of the equation, we get:

ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K

Now we can equate the coefficients of the like terms on both sides of the equation.

The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:

a = 4

The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:

b - a = -4

Substituting a=4, we get:

b - 4 = -4

Solving for b, we get:

b = 0

So the polynomial can be written as:

f(x) = (x-1)(4x + 0) = 4x² - 4x

Therefore, K = 0.

To find the roots of the equation, we need to set f(x) = 0 and solve for x:

4x² - 4x = 0

Factor out 4x:

4x(x - 1) = 0

So the roots of the equation are x = 0 and x = 1.

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

2

Step-by-step explanation:

Compare the side RS and MN, RS is 3 while MN is 6, for 3 to become 6 it has to be multiplied by 2. So the scale factor is 2.

Answer:

Step-by-step explanation:

Answer:

A) The first equation has points of.... (0,5) and (5,-5)

B) The second equation has points of... (0,3) and (3, -1)

Step-by-step explanation:

If you need further explanation don't hesitate to ask :)

★ CASE 1 :- (if the question is :-

Q:- Tanisha and her friends were playing a card game where the smallest number wins. Below is their scorecard.

Tanisha → −15

Tyrell → −18

Carlos → −12

Samantha → −9

Who won the game?

•Tanisha

•Samantha

•Carlos

•Tyrell

Ans:- The game is that the smallest numbered card person wins the game.

We know that in case of integers, the smallest number is the largest number with the minus ( - ) sign. In negative integers, the answer will be in the reverse order.

Since, in this case, if given numbers are negative, then -15 (Tanisha) is the answer.

★ CASE 2:- (if question is:-

Q:- Tanisha and her friends were playing a card game where the smallest number wins. Below is their scorecard.

Tanisha − 15

Tyrell − 18

Carlos − 12

Samantha − 9

Who won the game?

•Tanisha

•Samantha

•Carlos

•Tyrell

Ans:- In this case, the given numbers are positive. We know that the smallest number given in the question is 9 (Samantha).

THEREFORE, THE ANSWER DEPENDS ON THE ANSWERED ABOVE QUESTION.

-----------------------★--------------------------

Answered by Benjemin ☺️

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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we have that

four people, five hours a day, six days

that represents

each people works-----> 30 hours in six days (5*6)

each people can do ----> 25% of the work (100%/4)

Divide percentage by the number of hours

25/30=5/6 % by hour

that means

Each people can do (5/6)% by hour

two people working for seven hours a day--------> represents 14 hours a day

Multiply 14 hours by (5/6)

14*(5/6)=11.67%

that means

two people in one day can do 11.67% of the work

Applying proportion

1/11.67%=x/100%

solve for x

x=100/11.67

x=8.6 days------> Round up

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

1.5 is the correct answer

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

0.6656pi ft

Also correct: 2.09 ft^3.

Step-by-step explanation:

Answer: g(x)

Step-by-step explanation:

The graph represented by the degrees Fahrenheit outside is y = 2x - 3 where g ( x ) = 2x - 3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Slope m = 2

Given that it was -3 degrees Fahrenheit outdoors when Janelle woke up. The temperature increased by 2 degrees every hour as the morning went on. It implies,

Temperature at start: -3

Changes occur at a rate of 2 degrees each hour.

A line's slope intercept form is y = 2x - 3

Hence , the equation of line is y = 2x - 3 and the graph depicted is g ( x )

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The complete question is attached below :

When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario?

a(x)

f(x)

g(x)

h(x)

Answer:

3/8÷2/5=3/8×5/2=15/16

Step-by-step explanation:

When dividing by fractions, invert and multiply.

3/8÷2/5=3/8×5/2=15/16

Answer:

3

Step-by-step explanation:

4x3=12

12-1=11

Answer: A

Step-by-step explanation:

I believe it is a the parallelogram because it has at least one acute angle on the bottom and at least 2 parallel sides

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

(6 × 10) + (5 × 1) + (9 × 1 10 ) + (4 × 1 100 ) + (9 × 1 1000 )

Step-by-step explanation:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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