3/5 of a number is 21

Find the number. ​

Answer:

6cd^3

Step-by-step explanation:

-48c^2d^4/-8cd

you divide the -48 by -8 and you get 6.

6c^2d^4/cd

when you divide c^2 by c, d^4 by d you get c and d^3 - this is kind of because c^2 is cxc/d^4 is dxdxdxd and when you divide it by c/d the ^ decreases.

Answer:

33%

Step-by-step explanation:

6/9 = .66 which is the amount that do have it

1 - .66 = .33 which is the amount that dont.

.33 x 100 = 33%

If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

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The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

working on it

Step-by-step explanation:

Sikena, this is the solution to the exercise:

Number of marbles in total Jesse has = 100

Red Marbles = 76

Green Marbles = x

Yellow Marbles = x

Blue Marbles = x

White Marbles = x

Thus, the equation to solve for x, is:

76 + x + x + x + x = 100

76 + 4x = 100

Subtracting 76 at both sides:

76 + 4x - 76 = 100 - 76

4x = 24

Dividing by 4 at both sides:

4x/4 = 24/4

x = 6

Jesse has 6 green marbles, 6 yellow marbles, 6 blue marbles and 6 white marbles.

Answer:

9/10

Step-by-step explanation:

The first two digit number is 10 and the last is 99. That's a total of 99-10+1 numbers in all. That simplifies to 90. (Just like if we wanted to see how many numbers was 3,4,5, we would do 5-3+1=3 to get the total number.

Anyways, let's consider first how many 2 digjt numbers whose digits are equal. You have 11 22,33,44 55,66,77,88,99 which is 9 numbers total.

So the amount of 2 digits number whose digits differ is 90-9=81.

The probability that a 2 digit number have different digits is 81/90.

This can reduce. Divide top and bottom by 9 giving 9/10.

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer:

23 2-points + 37 5-points = 231

Step-by-step explanation:

Answer:

53 two-point tickets.

Step-by-step explanation:

This is a system of equations:

x + y = 60

2x + 5y = 231

Then..

-2x - 2y = -120

2x + 5y = 231

Then...

3y = 111

y=7

All you need to do now is plug it in:

x + 7 = 60

60-7 = x

x = 53

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

An ellipse is defined as the set of all points such that the sum of the distances between the point and the two foci is constant. The equation of an ellipse can be represented in the standard form as:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where (h, k) is the center of the ellipse, a is the distance from the center to a vertex, and b is the distance from the center to the focus.

Given that the center of the ellipse is at (2, 1), one vertex is at (2, -4), and one focus is at (2, -2), we can use this information to find the values of a and b, and represent the equation of the ellipse:

a = distance from center to vertex = |1 - (-4)|/2 = 2.5

b = distance from center to focus = |1 - (-2)|/2 = 1.5

The equation of the ellipse is:

(x-2)^2/2.5^2 + (y-1)^2/1.5^2 = 1

which can also be written as:

(x-2)^2/6.25 + (y-1)^2/2.25 = 1

This equation represents the ellipse with center at (2, 1), one vertex at (2, -4), and one focus at (2, -2)

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer:

Hey there!

Total students: 7+9+5+3+12=36

Students that like math: 7

7/36=19.4% of students like math.

Let me know if this helps :)

Answer:

19% (Math)

Step-by-step explanation:

7 divide by total number of students (36) X100% =19%

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer:

a = 110

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

A=110

that is what I think

Using the relation between velocity, distance and time, it is found that the velocity of the helicopter is of 225 mph and of the wind is of 69 mph.

Velocity is given by distance divided by time, that is:

\(v = \frac{d}{t}\)

A helicopter took 39 minutes to fly 191 miles, traveling in a headwind. Due to the headwind, the relative velocity is the sum of the velocities, hence:

\(v_h + v_w = \frac{191}{\frac{39}{60}}\)

\(v_h + v_w = 294\)

\(v_w = 294 - v_h\)

The same helicopter took one hour and 15 minutes to fly 195 miles flying in the opposite direction, hence:

\(v_h - v_w = \frac{195}{\frac{75}{60}}\)

\(v_h - v_w = 156\)

Since \(v_w = 294 - v_h\):

\(v_h - 294 + v_h = 156\)

\(2v_h = 450\)

\(v_h = 225\)

\(v_w = 294 - 225 = 69\)

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divide.

-25/176 is -.142

Answer:

you divide -25 by 176

-25 on the inside of the "dog house" and 176 on the outside because if you did it the other way it would be a whole number.

It would equal -0.14204545454

I hope this is good enough for you:

Step-by-step explanation:

if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.

And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34

AC=2y-6

therefore

34=2y-6

28=2y and y=14

Answer:

Step-by-step explanation:

The coefficients \(a_0,a_1,a_2,a_3\) could be chosen to be the coefficients in the Maclaurin series of \(\sin(x)\).

We have

\(y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0\)

\(y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1\)

\(y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2\)

\(y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3\)

It follows that \(a_0=0\), \(a_1=1\), \(a_2=0\), and \(a_3 = -\frac16\).

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)

Answer:

40%

Step-by-step explanation: hope this helps

Answer:

She received 12 calls from her son and 30 calls in total.

Step-by-step explanation:

40% of 30 is 12.

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:32+ 1.21

Step-by-step explanation:

if you really want an awser you would take all the nubers and sfhgkjfqipjghwpkrejvhbwptijgbqkejnvwpigtnjuvrepiufgnjwrekjbhartio

the 95% confidence interval contains the value of 0. This is expected since the result from the chi-square test and the result from the normal approximation test were both significant.

a) The chi-square test statistic is 15.95 and is significant at the 0.005 level. This indicates that the population proportions of students who drove while drinking are not the same in the two calendar years.

b) The behavior of college students regarding driving while drinking changed between 2013 and 2017.

c) The test based on the normal approximation to the binomial distribution also yields a significant result (p-value = 0.0045), indicating that the population proportions of students who drove while drinking are not the same in the two calendar years.

d) The 95% confidence interval for the true difference in population proportions is [-0.072, -0.023].

e) Yes, the 95% confidence interval contains the value of 0. This is expected since the result from the chi-square test and the result from the normal approximation test were both significant.

Chi-square test statistic:

X2 = 15.95

Normal approximation test statistic:

P-value = 0.0045

95% confidence interval:

[-0.072, -0.023]

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Answer: the answer is a

Step-by-step explanation

ur welcome

Answer:

its D

Step-by-step explanation:

i did the imagine math

Answer:

D

Step-by-step explanation:

Absolute value is the distance from a point 0. Absolute value is always a positibe number, so think of all of these as positive numbers