22. A question bank has questions of Physics and
Chemistry. The number of questions of Chemistry
are 3.5 times the number of questions of Physics.
If there are 90 questions in the question bank, find the
number of questions of Physics and Chemistry in the
question bank.​

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

The volume of the solid generated by rotating the region enclosed by the curve of $f(x) = x^2 - 1$ and the x-axis around the x-axis is $\frac{16\pi}{15}$.

To find the volume of the solid generated by rotating the region enclosed by the curve of a function $f(x)$ and the x-axis around the x-axis, we use the formula:

$V = \int_{a}^{b} \pi [f(x)]^2 dx$

where $a$ and $b$ are the limits of integration.

Let's assume the function $f(x) = x^2 - 1$, then we have:

$V = \int_{-1}^{1} \pi [(x^2 - 1)]^2 dx$

$V = \int_{-1}^{1} \pi (x^4 - 2x^2 + 1) dx$

$V = \pi \left[\frac{x^5}{5} - \frac{2x^3}{3} + x\right]_{-1}^{1}$

$V = \pi \left[\left(\frac{1}{5} - \frac{2}{3} + 1\right) - \left(-\frac{1}{5} + \frac{2}{3} - 1\right)\right]$

$V = \pi \left[\frac{16}{15}\right]$

$V = \frac{16\pi}{15}$

Therefore, the volume of the solid generated by rotating the region enclosed by the curve of $f(x) = x^2 - 1$ and the x-axis around the x-axis is $\frac{16\pi}{15}$.

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Answer:

Y= −17.3

Step-by-step explanation:

join meet.go0 glecom/enx-zdda-hak

Answer:

-The ties of the railroad tracks are perpendicular to the rails and of the same length.

- This common length is the distance between the rails.

Step-by-step explanation:

Parallel lines are always the same distance apart for the entire length.

Complete question :

The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Answer: C. How long was each rehearsal?

Step-by-step explanation:

Total time spent preparing for play = 790 hours

Of the 190 hours :

Number of rehearsals = 35

Others = 93 3/4 hours

What question does the equation 35 x + 93 3/4 equal 190

35x + 93 3/4 = 190

(Number of rehearsals) * x + others = total time

x = time spent on each rehearsal

35x = 190 - 93 3/4

35x = 96.25

x = 96.25 / 35

x = 2.75 hours

Each rehearsal took 2.75 hours

Answer:

5

Step-by-step explanation:

Given that:

60km in 12 seconds

Distance α time

Distance = k * time

K = constant of proportionality

Distance = 60 ; time = 12 seconds

60 = 12k

60/12 = 12k/12

5 = k

Constant of proportionality is 5

Answer:

its upside down if you flip it people will see it better

Answer:

D (1,-2)

Step-by-step explanation:

This is the point of intersection aka meeting point.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

The coordinates of the vertex are

(-5;-9)

Answer:

(-5, -9)

Step-by-step explanation:

Use of the coordinate plane, center of the parabola 5 to the left and down 9.

Hope this helped!

The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.

A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%

The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.

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Answer:

402.5

Step-by-step explanation:

350×1.15=350

15% of 350 =52.5 350+52.5=402.5

Let x represent the number.

four times the number = 4 * x = 4x

The reciprocal of the number = 1/x

If four times a number is added to the reciprocal of that number the result is 5, it means that

4x + 1/x = 5

Multiplying both sides of the equation by x, we have

4x * x + 1/x * x = 5 * x

4x^2 + 1 = 5x

Subtracting 5x fromboth sides of the equation, we have

4x^2 - 5x + 1 = 5x - 5x

4x^2 - 5x + 1 = 0

We would solve for x by applying the method of factorisation. We would find two terms whose sum or difference is - 5x and whose product is 4x^2. The terms are - 4x and - x. By replacing - 5x with - 4x - x, we have

4x^2 - 4x - x + 1 = 0

By factorising, we have

4x(x - 1) - 1(x - 1) = 0

Since x - 1 is common, we have

(x - 1)(4x - 1) = 0

x - 1 = 0 or 4x - 1 = 0

x = 1 or 4x = 1

x = 1 or x = 1/4

We would check these values.

For x = 1,

4 * 1 + 1/1 = 4 + 1 = 5

This is correct

For x = 1/4,

4 * 1/4 + 1/(1/4) = 1 + 4 = 5

It is also correct

Thus, the numbers are 1 and 1/4

Answer:

Below

Step-by-step explanation:

4 out of 9 are not broken    first bar not broken chance is then 4/9

  now there are   8 bars left and 3 are not broken    so for the second bar thee is a 3/8 chance of not being broken

4/9 * 3/8 = 12/72 =   1/6

Answer:

it's below because

Step-by-step explanation:

1/6 !!!!!!!!!!!!!!

Answer:

Step-by-step explanation: 1/4

The expression on simplification without negative exponents gives: = \(9x^{4.5} y^{6.5} -2\)

Exponents are mathematical notations used to express a number as the power of another number. The number raised to the power is called the base, and the exponent indicates the number of times the base is used as a factor.

Product of powers: If a^m * a^n, where m and n are exponents and a is the base, then the result is a^(m+n).

Power of power: If (a^m)^n, where m and n are exponents and a is the base, then the result is a^(m * n).

The quotient of powers: If a^m / a^n, where m and n are exponents and a is the base, then the result is a^(m-n).

Zero exponents: a^0 = 1, where a is the base. For example, 2^0 = 1.

The expression can be simplified as follows:

\(9x^{5/2} y^{5} x^{4}y^{-3/2}-2\)

= \(9x^{\frac{9}{2} } y^{\frac{13}{2} } -2\)

= \(9x^{4.5} y^{6.5} -2\)

Therefore, The expression on simplification without negative exponents gives \(9x^{4.5} y^{6.5} -2\).

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

I think this is right but could be wrong 8:18 pm so lmk ??

8.40pm

Step-by-step explanation:

6.30 changed to 24 hour format

the answer will be 1830+0218=2048

9514 1404 393

Answer:

  25°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(?) = 25/60

  ? = arcsin(25/60) ≈ 24.62°

The indicated angle is about 25°.

Answer:

100 ft high

Step-by-step explanation:

you multiply

Distance from the top of the pole to the end of the shadow is 20.62 ft.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Height of pole = 20ft

Length of the shadow = 5ft

Let distance from the top of the pole to the end of the shadow be x

then by Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = 5² + 20²

x² = 25 + 400

x = √425

x = 20.62 ft

Hence, 20.62 feet is distance from the top of the pole to the end of shadow.

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The mathematical equation that explains how the dependent variable y is related to several independent variables x1, x2, xp, and the error term is: y = b0 + b1x1 + b2x2 + ... + bpxp + ε.

The mathematical equation that explains how the dependent variable y is related to several independent variables x1, x2, xp and error term is known as the multiple regression equation.

This equation can be expressed as follows:
y = b0 + b1x1 + b2x2 + ... + bpxp + ε

where b0 is the intercept term, b1, b2, ..., bp are the regression coefficients for each independent variable, and ε is the error term which captures the unexplained variation in the dependent variable y.

This equation can be used to estimate the values of the dependent variable based on the values of the independent variables and their corresponding regression coefficients.

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Answer: This statement represents  →A Division prolem

The correct equation is →8=n÷5                                                                

                  I Hop This Helped :)

Step-by-step explanation:

Answer:

Write an equation to model the problem containing an unknown number.

                                             Eight is the quotient of a number and five.

This statement represents:

✔ a division problem

.

The correct equation is:

✔ 8 = n ÷ 5

Correct on Edge nuity 2021

Answer:

The first part is B= -2t + 95.

Step-by-step explanation:

Every hour the battery drops by 2 so the equation is

current battery charge= (time)(-2)+(starting battery charge)

Answer:

51 cm

Step-by-step explanation:

4,000/(3.14 · 5²)

4,000/(3.14 · 25)

4,000/78.5 = 50.95541401

To obtain the basis for the set of all vectors of the form [a – 2b + 5c 2a + 5b – 8c -a– 4b + 7c 3a +b+c], follow the following steps

:Step 1: Vectorize the given system, which is: { x1 = a - 2b + 5c x2 = 2a + 5b - 8c x3 = -a - 4b + 7c x4 = 3a + b + c }Then we form a vector X = (x1,x2,x3,x4). We want to determine the basis for the set of all possible X.

Step 2: Then, rewrite the given system in vector form as follows: X = a(1,2,-1,3) + b(-2,5,-4,1) + c(5,-8,7,1)This follows from X = a(1,0,-1,3) + b(0,5,-4,1) + c(0,-8,7,1) which is obtained from reducing the original augmented matrix to reduced row echelon form.

We can easily deduce from the above expression that the columns of the coefficient matrix [1 2 -1 3; -2 5 -4 1; 5 -8 7 1] are linearly independent and hence form a basis for the set of all possible vectors X.

Step 3: Hence, a possible basis for the set of all vectors of the form [a – 2b + 5c 2a + 5b – 8c -a– 4b + 7c 3a +b+c] is the set of vectors corresponding to the columns of the coefficient matrix, which are: [1 -2 5; 2 5 -8; -1 -4 7; 3 1 1]

Therefore, a basis for the set of all vectors of the form [a – 2b + 5c 2a + 5b – 8c -a– 4b + 7c 3a +b+c] is { [1 -2 5], [2 5 -8], [-1 -4 7], [3 1 1] }

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Answer:

1) C

2) A

3) A

4) B

5) C