i need help with this 15 pttststt!!!

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

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The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).

A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.

volume of a cylinder = πr²h

= pi x r² x 7

volume of a cone = 1/3  πr²

= 1/3 pi x 4² x8

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Answer:

A is Correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The domain is the set of \(x\)-values.

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

\( {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8\)

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

A. Move 5 units down, then 7 units to the right.

Step-by-step explanation:

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

l = 9p/4 , l = 9p/4

Step-by-step explanation:

Given:

Perimeter = 9p

Find:

Length and width

Computation:

Assume;

Length = l

Perimeter = 2(l+b)

9p/2 = l+w

w = 9p/2 - l

Area = lb

Area = l(9p/2 - l)

Using differentiation

l = 9p/4

w = 9p/2 - l

w = 9p/2 - 9p/4

w = 9p/4

In the given figure, x= 8

Calculation

a is perpendicular to b and b is parallel to c

therefore they are corresponding angles.

So, \((9x+18)^{o}\) = \([5(x+7)+15]^{o}\)

9x + 18 = 5(x + 7) +15

9x + 18 = 5x + 35 + 15

9x - 5x = 35 + 15 -18

4x = 32

x = 32/4 = 8

Hence, x = 8

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The  of x when a(perpendicular sign)b and b II c is 8.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

a is perpendicular to b and b is parallel to c

Therefore they are corresponding angles.

So,  = \((9 x+18)^{\circ}=[5(x+7)+15]^o\)

9x + 18 = 5(x + 7) +15

9x + 18 = 5x + 35 + 15

9x - 5x = 35 + 15 -18

4x = 32

Therefore,

x = 32/4 = 8

Hence, x = 8

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Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Solving the inequalities for x and y, we have x > 3 and y > 1

Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).

Here Given that the twο inequalities are:

x + 5 < 8y

And

x + 5 > 8

x > 8 - 5

x > 3

Substate the value of x in x + 5 < 8y:

x + 5 < 8y

x < 8y - 5

3 < x < 8y - 5

3 < 8y - 5

3 + 5 < 8y

8 < 8y

y > 8/8

y  > 1

Thus, Solving the inequalities for x and y, we have x > 3 and y > 1

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Complete question:

Solve the for x and y.

a. x + 5 < 8y

   x + 5 > 8

​

Answer:

69-46x y57 -8r8o 98-225+

Answer: THAT IS RIGHT OK BYE MAN

Step-by-step explanation: OK BYE

Answer:

ummm.... -2 ? because both lines are parallel they have the same slope

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The line AB and CD are parallel. Then it is impossible that the line AB intersects the line CD.

When the distance between the lines is constant, then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

Given that ∠ABC = 70° and ∠BCD = 110°.

Then the line AB and the line CD makes the same angle with the line BC.

Hence, the line AB and CD are parallel.

Then it is impossible that the line AB intersects the line CD.

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Answer:

4 Trust me

Step-by-step explanation:

Answer: He can make 688 beads, and 8 beads will be left.

Step-by-step explanation:

First, you need to divide 6,200 by 9.

        6,200 ÷ 9 = 688 R8.

688 will be the number of bracelets he can make, and the remainder, 8, will be the leftover beads because he doesn't have enough to make another bracelet.

          For the labels, it says, "How many bracelets can he make?" and," How many beads will be left?"

           The answers will be: 688 bracelets;8beads

Equation : 6,200÷9=x  6,200÷9=688 R8  x=688 bracelets;8 beads

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

The logarithmic equation for the time taken until the machinery has a value of $13,900 is x = log₁₉/₂₀ 1/2

Given,

A new hi tech 3D printer valued at $27,800 depreciates exponentially at a rate of 5%.

we are asked to determine the logarithmic equation for the time taken until the machinery has the value of $13,900 = ?

based on the conditions, we formulate:

27800 × (1 - 5%)ˣ = 13900

solve the equation.

27800 × (1 - 0.05)ˣ  = 13900

calculate the sum or difference.

27800 × 0.95ˣ  = 13900

Divide both sides of the equation by the coefficient of variable.

0.95ˣ  = 13900/27800

Reduce the fraction.

0.95ˣ = 1/2

convert exponential to logarithm form.

x = log₀.₉₅ 1/2

cross out the common factor.

x = log₉₅/₁₀₀ 1/2

x = log₁₉/₂₀ 1/2

hence we get the required equation.

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Answer:

1st option

Step-by-step explanation:

Complementary angles sum to 90°

∠ BFC and ∠ AFB form a right angle and sum to 90°

These angles are therefore complementary

you good itStep-by-step explanation:

Answer:

Step-by-step explanation:

Angles <5 and <1 are adjacent to <6.

Adjacent angles refer to those angles that share a common side and common vertex but at the same time, not overlap with each other. In this question , angle <6 is sharing a side and a common vertex  with <5 and <1 without overlapping each other. Therefore, we can say that the angles are adjacent to each other.

Similarly, if we were supposed to find the adjacent angles of <1, then, the adjacent angles would be angles <6 and <2, as they are sharing the same side and common vertex with that of <1, and are not overlapping each other.

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I believe the it would be 2x^2 + 6x + 20 = 0.

Answer:

\(c = \frac{2}{0.42} \)

Step-by-step explanation:

AB = c

\( \frac{a}{sin \: A} = \frac{c}{sin \: C} \\ \frac{2}{sin \: 25} = \frac{c}{sin \: 90} \\ \frac{2}{0.42} = \frac{c}{1} \\ 0.42 \: c = 2 \\ c = \frac{2}{0.42} \)

Answer:

4.73

Step-by-step explanation:

​

​

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

This question is incomplete because it lacks the required diagram. Please find attached the diagram required to answer the question.

Answer:

14 feet

Step-by-step explanation:

The volume of a cone = 1/3 πr²h

In the above question, we are given the volume = 314 cubic feet

the height is given in the attached diagram = 6ft

Step 1

We find the radius.

From the formula for the volume of a cone, we can derive the formula for radius of the cone.

Radius of the cone = √(3 × V/π × h

π = 3.14

Radius of the cone = √( 3 × 314 /3.14 × 6

Radius of the cone = √942/3.14× 6

Radius = √50

= 7.0710678119feet

Step 2

Diameter of the cone = Radius of the cone × 2

= 7.0710678119 × 2

= 14.142135624 feet

Approximately to the nearest foot = 14 feet

Therefore, the diameter of the cone to the nearest foot = 14 feet.