Zareen has 24 minutes to work on her math homework, and each problem is taking her Two-thirds of a minute, on average, to complete. Which expression can be used to determine the number of math problems she will be able to complete in the time she has? 24 divided by two-thirds 24 times two-thirds Two-thirds divided by 24 Three-halves divided by 24

Answer:

a) the sides lengths are proportional

b) 6

c) 2/4 = .5  3/6 = .5

D) 1/2  Change in y over change in x.

Step-by-step explanation:

Using error concepts, it is found that in this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

Hence:

In this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

More can be learned about error concepts at https://brainly.com/question/25225353

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

To know more about portion formula visit:

https://brainly.com/question/17145705

#SPJ1

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

For more such questions fraction,click on

https://brainly.com/question/78672

#SPJ8

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

Learn more about digits at:

https://brainly.com/question/26856218

#SPJ1

missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

45%

Step-by-step explanation:

9/20

Answer: 16 degrees

Step-by-step explanation:

(3x + 18) = 66

Because vertically opposite angles are equal

66 - 18 = 48

48 divided by 3

=16

Answer:

c=d/4

Step-by-step explanation:

we have to get c by itself...first we have to add d t the other side of the equation so

4c=d now since 4 is being multiplied by c we have to divide it out.

c=d/4

Answer: three fifths

Step-by-step explanation:

1/5 is equal to 0.2, so subtracting 2/5 from eight would be the same as subtracting 0.4. Subtracting 3/5 will be the same as subtracting 0.6.

8 - 0.6 = 7.4

Answer:

4

Step-by-step explanation:

y intercept is always the value without a coeffiecent

Answer:

ITS 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Calculate the slant height of the pyramid.

Slant Height = √(6.9^2 + 8^2) = 10.1 cm

Step 2: Calculate the lateral surface area of the pyramid.

Lateral Surface Area = 4 * (1/2 * 6.9 * 10.1) = 176.5 cm^2

Step 3: Calculate the total surface area of the pyramid.

Total Surface Area = Lateral Surface Area + Base Area

Total Surface Area = 176.5 cm^2 + (1/2 * 6.9 * 8) = 227.7 cm^2

Answer:

3, -1, 1 and 0

Step-by-step explanation:

An expression is undefined when the denominator is equal to 0 as you cannot divide by 0 in Mathematics. Therefore you are looking for the values of x which will result in either or both denominators equaling 0.

This simply means finding the solutions to the quadratics in the denominators.

First equation is \(x^{2} -2x-3\).

One way you can solve this equation is using factorization (putting the equation into two sets of brackets which show the solutions) which puts the equation in the solvable form: (ax+b)(cx+d).

Firstly, we can deduct that a and c are both 1 as ax and cx multiply to give the x^2 term, the co-efficient of which is 1. Since only 1 and 1 can multiply to 1, a and c must both be 1.

Now, in order to work out b and d we need to find the possible factor combinations for -3 as b and d multiply to give the constant term. The only possible combination is 1x3, therefore b and d can either be -1 and 3, or -3 and 1.

To work this out we look at the x term. We see it is -2x. b and d will add to give the co-efficient.

Therefore we know that they are -3 and 1 as -3+1 = -2

We now have the equation: (x+1)(x-3)

Setting it to 0 gives us: \((x+1)(x-3)=0\)

This tells us the solutions to this equation are x= -1 and x= 3 as substituting these values for x will result in a bracket adding to 0 so both those options can be selected as your answer.

The second equation \(2x^{2} +2x\) can be approached with a slightly easier method. Both terms have a 2x, so we can condense it into a bracket by dividing both terms by the common factor and moving the factor outside. Factorizing this equation in this fashion gives us: \(2x(x+1)=0\)

Now our solutions are x=0 and x=1.

Combined from both equations the correct options are: 3, -1, 1 and 0.

Hope this helped!

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

12 Super Giant Pizzas

Step-by-step explanation:

36 ÷ 3 = 12

Answer:

Step-by-step explanation:

You will need to get 12 pizzas

Explanation:36÷3=12

Answer:

$9.87

Step-by-step explanation:

18 copies × 79 pages each = 1422 total pages

1422 total pages ÷ 500 papers per ream = 2.844 reams which rounds up to 3 (only sold in reams of 500)

3 reams × $3.29 = $9.87

The slope of the line that passes through the points (7,-4) and (11,-4) is 0.

The slope of a line is found by using the formula:

slope = (change in y)/(change in x)

To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point:

-4 - (-4) = 0

To find the change in x, subtract the x-coordinate of one point from the x-coordinate of the other point:

11 - 7 = 4

Now we can use the formula to find the slope:

slope = 0/4 = 0

To learn more about : slope

https://brainly.com/question/16949303

#SPJ11

Answer:

Yes

Step-by-step explanation:

One is in the hundreds and one is in the thousands. 100x10=1000

Answer:

c

Step-by-step explanation:

the answer to this quistion is becasue 36 is an propile number

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

50-12.50= 37.50

37.50/12.50 x100% =300%

Answer:

300%

Step-by-step explanation:

→ Work out the difference between the 2 numbers

$50 - $12.50 = $37.50

→ Divide it by the original

$37.50 ÷ $12.50 = 3

→ Multiply it by a hundred

300%

The function representing the number of bacteria present each day is f(t) = 2032\((0.85)^{t}\).

Both the set X and the set Y are referred to as the function's domain and codomain, respectively.

Beginning in 2032, there will be a 15% daily decline in the number of microorganisms.

a function that displays the daily average amount of microorganisms.

f(x) = 2032\((1 - .15)^{t}\)

f(x) = 2032\((0.85)^{t}\)

Therefore f(t) = 2032\(0.85^{t}\) is the correct answer.

To learn more about function refer to:

https://brainly.com/question/22647673

#SPJ1

Answer:

1. No solution

2. No solution

Step-by-step explanation:

1. p-4=-9+p

   -4=-9

No solution

2. 4m-4=4m

    -4=0

No solution

If this helps please mark as brainliest

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

For such more question on proportional

https://brainly.com/question/1496357

#SPJ8

Answer:

10 times older

Step-by-step explanation:

name brainliest

Answer:

10 times

Step-by-step explanation:

Basically it is asking you this:

90/9 which is 90 divided by 9.

Answer:

4916 pesos

Step-by-step explanation:

What we can do is set up a proportion.

1/12.29=400/x

This works because both of these fractions are dollars/pesos.

There are other proportions we could set up too.

For example:

12.29/1=x/400

12.29/x=1/400

x/12.29=400/1

However, using our orignial proportion we can simplify it.

Cross multiply.

1*x=12.29*400

x=4916

He will get 4916 pesos for his trip.

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

Learn more about angles at:

https://brainly.com/question/25716982

#SPJ1