-3/2 +1/3 =

me ayudan plis ​

Answer:

-34

Step-by-step explanation:

3 - 16 / 2 * 5 + 3

Division first

= 3 - 8 * 5 + 3

Then multiplication

= 3 - 40 + 3

Then addition

= 6 - 40

Then subtraction

= - 34

Step-by-step explanation:

A)

4x-1= 2(x+7)

4x-2x=14+1

2x=15

x=7.5 .... you can do it on calculator as well

B.

3(3x+2)=2x+13

9x-2x=13-6

7x=7

x=1

Step-by-step explanation:

\(4x - 1 = 2(x + 7) \\ 4x - 2x = 14 + 1 \\ 2x = 15 \\ x = 7.2\)

The doubling period of bacteria Beta is approximately 0.8333 minutes.

Let's solve the problem step by step:

1. Bacteria Alpha multiplies fourfold every 25 minutes. This means that after every 25 minutes, the number of cells in bacteria Alpha quadruples.

2. Initially, the sample of bacteria Beta has twice as many cells as bacteria Alpha. Let's assume that the initial number of cells in bacteria Alpha is x. Therefore, the initial number of cells in bacteria Beta is 2x.

3. After two and a half hours, which is equivalent to 150 minutes (2.5 hours * 60 minutes per hour), the number of cells in both samples was the same.

Now, let's calculate the number of cells in each sample after 150 minutes:

Number of cells in bacteria Alpha after 150 minutes =\(x * (4^(150/25))\)

Number of cells in bacteria Beta after 150 minutes =\(2x * (2^(150/d))\)

We need to find the doubling period (d) of bacteria Beta. The doubling period represents the time it takes for the number of cells to double.

Since the number of cells in both samples is the same after 150 minutes, we can equate the expressions:

\(x * (4^(150/25)) = 2x * (2^(150/d))\)

Cancelling out the common factor of x, we get:

\(4^(150/25) = 2^(150/d)\)

Taking the logarithm of both sides to solve for d:

\((150/25) * log4 = (150/d) * log2\)

Simplifying further:

\(6 * log4 = 10 * log2 / d\)

Dividing both sides by log4:

\(6 = (10 * log2) / (d * log4)\)

Rearranging the equation to solve for d:

\(d = (10 * log2) / (6 * log4)\)

Using logarithmic properties, we can simplify the expression:

\(d = (10 * log2) / (6 * log2^2)\)

Simplifying further:

\(d = (10 * log2) / (6 * 2 * log2)d = (10 / 12) ≈ 0.8333\)

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Answer:

Step-by-step explanation:

25/3

Answer:

1.55

Step-by-step explanation:

\(2(x + 0.7) = 6(x – 0.8)​\)

Using the distributive property of addition over multiplication we get

\(2x+1.4=6x-4.8\)

Take the like terms to one side and change their signs accordingly

\(1.4+4.8=6x-2x\)

\(\Rightarrow 6.2=4x\)

\(\Rightarrow x=\dfrac{6.2}{4}\)

\(\Rightarrow x=1.55\)

The value of \(x\) is 1.55.

In order to make sure this value is correct we can substitute the value of x in the equation

\(2(1.55+0.7)=6(1.55-0.8)\\\Rightarrow 2\times 2.25=6\times 0.75\\\Rightarrow 4.5=4.5\)

So, both sides are equal hence the value of \(x \)is 1.55.

Answer: 50 inches ÷ 5 inches = 10 tiles

Step-by-step explanation:

1 foot = 12 inches

2 foot = 24 inches

3 foot = 36 inches

4 foot = 48 inches

5 foot = 60 inches

Plus the 2 inches = 50 inches in total

50 inches ÷ 5 inches = 10 squares

y can be written as the sum of two orthogonal vectors, one in the span of {u} and one orthogonal to u: y = (-2.5, 2.5) + (3.5, 3.5)

To write y as the sum of two orthogonal vectors, we need to find the projection of y onto u (which will be in the span of {u}) and the difference between y and this projection (which will be orthogonal to u).

First, let's find the projection of y onto u:
proj_u(y) = (y·u / ||u||^2) * u

where "·" represents the dot product and "|| ||" represents the magnitude.

y·u = (1)(5) + (6) (-5) = 5 - 30 = -25
||u||^2 = (5) ^2 + (-5) ^2 = 25 + 25 = 50

proj_u(y) = (-25 / 50) * u = -0.5 * (5, -5) = (-2.5, 2.5)

Now, we find the difference between y and this projection:
y - proj_u(y) = (1 - -2.5, 6 - 2.5) = (3.5, 3.5)

Thus, y can be written as the sum of two orthogonal vectors, one in the span of {u} and one orthogonal to u:
y = (-2.5, 2.5) + (3.5, 3.5)

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Answer:

22.5

Step-by-step explanation:

22.5 Cubic centimeters is the volume of the rectangular prism.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters

From the general formula of Volume of rectangular prism:

Volume = length * width * height

In our case,

Length = 10 cm

width = 2.5 cm

and height = 0.9 cm

thus, Volume = 10 * 2.5 * 0.9

Volume = 22.5

Therefore, the volume of the given rectangular prism is 22.5 Cubic centimeters.

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To approximate the area of the region bounded by the graph of f(t) = cos(t/2 - 3π/8) and the t-axis on the interval [3π/8, 11π/8] using 4 subintervals, we can use the midpoint rule.

The width of each subinterval is (11π/8 - 3π/8) / 4 = π/2.

We can calculate the height of each rectangle by evaluating the function at the midpoint of each subinterval.

The midpoints of the subintervals are:

t₁ = 3π/8 + π/4 = 5π/8

t₂ = 5π/8 + π/4 = 7π/8

t₃ = 7π/8 + π/4 = 9π/8

t₄ = 9π/8 + π/4 = 11π/8

Calculating the corresponding heights:

f(t₁) = cos(5π/16 - 3π/8)

f(t₂) = cos(7π/16 - 3π/8)

f(t₃) = cos(9π/16 - 3π/8)

f(t₄) = cos(11π/16 - 3π/8)

Now we can calculate the area of each rectangle by multiplying the width by the height.

Area of rectangle 1: (π/2) * f(t₁)

Area of rectangle 2: (π/2) * f(t₂)

Area of rectangle 3: (π/2) * f(t₃)

Area of rectangle 4: (π/2) * f(t₄)

Finally, we can approximate the total area by summing up the areas of all the rectangles:

Approximate area = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3 + Area of rectangle 4

Please note that I cannot provide the exact numerical values as the calculation involves trigonometric functions and the specific values of π/8.

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If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that David, Malachy and Paul share some sweets in the ratio 4:3:3

All three shared 24 sweets together.

Let x be the number of sweets

4x+3x+3x=24

Add the like terms

10x=24

Divide both sides by 10

x=2.4

Now paul has 3x sweets so 3×2.4=7.2

Hence, Paul get 7.2 number of sweets

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Answer:

415.39 \(ft^{2}\)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:D)50

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The price of the same day ticket is $15 while the price of the advance tickets is $20

We can see that;

Forming the simultaneous equation we have;

Let the same day ticket be x and the advance ticket be y

x + y = 35

30x + 15y = 750

x = 35 - y

Hence;

30(35 - y) + 15y = 750

1050 - 30y + 15y = 750

1050 - 15y = 750

-15y = 750 - 1050

y = 20

Thus;

x + 20 = 35

x = 35 - 20

x = 15

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Answer:

d

Step-by-step explanation:

-3(4x+2)-2x

-12x+6-2x

-14x+6

Answer:

*error* error* This account is here to assist CodeName: ELA/ LANGUAGE ARTS/ ENGLISH. Please say RESET in order for me to go back to ELA/ LANGUAGE ARTS/ ENGLISH.

Step-by-step explanation:

Answer: I can't answer that because it's not a question

Step-by-step explanation:

The value of csc x=-13/5.

Given that the sin x=-5/13 and x∈[3π/2 , 2π).

A trigonometric function is a real function that relates the angle of a right triangle to the ratio of the lengths of the two sides. The basic functions are sin, cos, tan, cot, sec, csc.

The given function is sin x=-5/13.

As we all know that sin x=1/csc x or csc x=1/sin x.

As it is given that x∈[3π/2 , 2π) that means x lies in fourth quadrant and in fourth quadrant sin and csc is negative in it.

So, we will apply this identity csc x=1/sin x, we get

csc x=1/(-5/13)

csc x=-13/5

And it also lies in x∈[3π/2 , 2π).

Hence, the value of csc x when sin x=-5/13 and x∈[3π/2 , 2π) is csc x=-13/5.

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Based on the given information, the net amount your firm will receive on the next transaction date can be calculated by subtracting the variable interest rate from the fixed interest rate.

In the swap agreement, your firm pays a fixed interest rate of 5.50 percent and receives a variable interest rate equal to LIBOR (London Interbank Offered Rate) plus 150 basis points. LIBOR is currently 3.75 percent.

To calculate the net amount your firm will receive on the next transaction date, we need to subtract the variable interest rate from the fixed interest rate.

Fixed interest rate: 5.50%

Variable interest rate: LIBOR (3.75%) + 150 basis points (1.50%) = 5.25%

Therefore, the net amount your firm will receive on the next transaction date is the difference between the fixed interest rate and the variable interest rate, which is 0.25%.

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Butt Koko, this is the solution:

Original price = 19.99

Sale price = 15.99

Discount = 19.99 - 15.99 = 4.00

We can use Direct Rule of Three to calculate the percent of discount, this way:

Price Percent

19.99 100

4.00 x

___________________

4 * 100 = 19.99 * x

400 = 19.99x

x = 400/19.99

x = 20.01

The approximate percent discount on the frisbee is 20%

The intercept is 3 and 5

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

To find x- intercept, y=0

x² + 2x -15=0

x² -5x + 3x -15=0

x(x-5) - 3(x-5) = 0

(x-5)(x-3)=0

Hence, the x- intercept is 3 and 5.

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Step-by-step explanation:

Hope this is Correct ^_^....

Answer:

She ordered 64 markers.

Step-by-step explanation:

She ordered 16 boxes with 32 pencils inside totaling 512 pencils altogether.

32 x 16 = 512 pencils

She there were 8 times as many pencils as markers.

   markers =  512 pencils/8=64 markers

A study by a business professor at Arizona State University found that students who missed two classes had grades that were one full letter grade lower than those who attended all classes. This suggests that attending class is essential for academic success.

There are a few reasons why missing class can lead to lower grades. First, students who miss class may miss important information that is covered in lectures. Second, they may miss opportunities to ask questions and get help from the professor. Third, they may fall behind on assignments and readings.

To avoid falling behind, it is important to attend all classes. If you must miss class, be sure to get notes from a classmate and ask the professor for any missed assignments or readings. By attending class and staying on top of your work, you can improve your chances of academic success.

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Complete question:

A study by a business professor at Arizona State University showed that, on average, is students' grades wet down one full grade for every _ classes they missed.

a. one

b. two

c. three

d. four

The measure of <A = 53 degrees

To determine the measure of the angle, we need to know the following;

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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Answer:

13

Step-by-step explanation:

7 x 2=14

40-14=26

26/2=13

Answer:

40 - 14 = 26

26/2 = 13

The width is 13

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer: 2 pies

Step-by-step explanation:

Here is the correct question:

There will be 6 people at Ellie's pie party. She wants to bake enough pie so that each person can eat at least ​1/5 of a pie.What is the minimum number of pies Ellie should bake?

Since each person can eat at least 1/5 of the pie and there are 6 people, the 6 people would them eat at least (6 × 1/5) = 6/5 pie. Since we are talking about whole numbers with regards to the pie, it simply means that at least 2 pies should be baked.

Answer:

m = -5

Step-by-step explanation:

Answer:

Yes, this is a rational function because it can be written as a ratio of two polynomials.

Step-by-step explanation:

no, because a square root is not a rational function, it is not a polynomial.

but the function has to be a fraction of 2 polynomials.

no matter what we do (we can e.g. multiply numerator and denominator by sqrt(x)), we cannot get rid of the square root in the overall function. we can move it up to the numerator and back down to the denominator, but it airways stays and converts at least one part of the fraction into simmering that is not a polynomial.

therefore, no.