There are 100 students surveyed. 32 are taking Calcus, 45 are talking Spanish, 18 are taking both Calcus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish. A)77%. B)45% C)95%. D)59%

Answer:

3 =x

Step-by-step explanation:

5x + 17 = 4(3x - 1)

Distribute

5x+17 = 12x -4

Subtract 5x from each side

5x+17-5x = 12x-4-5x

17 = 7x-4

Add 4 to each side

17+4 = 7x-4+4

21 = 7x

Divide by 7

21/7 = 7x/7

3 =x

Answer:

x = 3

Step-by-step explanation:

5x + 17 = 4(3x - 1)

Distribute on the right side.

5x + 17 = 12x - 4

Subtract 12x from both sides. Subtract 17 from both sides.

-7x = -21

Divide both sides by -7.

x = 3

Answer:

(x+9) (x+4)

Step-by-step explanation:

x²+13x+36

x²+9x+4x+36

x(x+9) +4(x+9)

(x+4) (x+9)

Answer:

8 sq units

Step-by-step explanation:

to find the area of shaded region:

area of square minus sum of areas of each semi-circle

A(square) = 6² = 36

A (semi-circle) = πr²/2

= π3²/2

= 4.5π

Since there are two semi-circles, that makes one complete circle with an area of 9π

A(circle) ≈ 28 sq units

36-28 = 8 sq units

Answer:

Step-by-step explanation:

1/[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]

=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex]/5

Answer: 2.1333582794

Step-by-step explanation:

The base 10 logarithm of 0.007356 is -2.1333582794

log₁₀(0.007356) = -2.1333582794

Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

[tex]sin = \frac{opp.}{hyp.} [/tex]

[tex]tan = \frac{opp.}{adj.} [/tex]

thus, find adj. side

by using Pythagoras theorem

[tex] {c }^{2} = {a}^{2} + {b}^{2} [/tex]

then,

let adj. side be a^

[tex] {a}^{2} = {c}^{2} - {b }^{2} \\ {a}^{2} = {15 }^{2} - {9}^{2} \\ {a}^{2} = 144 \\ a = 12[/tex]

thus,

adj. side is 12

then,

tan of the angle = 9/12

Answer:

8

Step-by-step explanation:

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

Answer:

5.4'

Step-by-step explanation:

See diagram attached.

The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.

Hence the height is the length of the hypotenuse multiplied by sin(42°)

H = 8sin(42°) = 8 *0.6691 = 5.353'

(see similar or identical question 23903470)

To Find :

The value of x.

Solution :

We know, when two chords intersect outside the circle.

[tex]21\times ( 21 + 45 ) = x \times ( x+5x)\\\\1386 = 6x^2\\\\x^2 = 231\\\\x = \sqrt{231}[/tex]

Hence, this is the required solution.

Answer:

Volume 1758.88 litres

Step-by-step explanation:

[tex]P = 2500. \ r = 4.3\% = \frac{4.3}{100} = 0.043, t = 8\\\\Volume = P(1 - r)^t\\\\[/tex]

            [tex]= 2500(1-0.043)^8\\\\= 2500 \times 0.70355\\\\= 1758.88 \ litres[/tex]

Answer:

[tex](a)\ Perimeter = 6l[/tex]

[tex](b)\ Cost = \$36l[/tex]

Step-by-step explanation:

Given

[tex]l \to sides[/tex]

Solving (a): The perimeter

The shape has 6 sides; since the sides are equal, the perimeter is:

[tex]Perimeter = 6 * l[/tex]

[tex]Perimeter = 6l[/tex]

Solving (b): Cost of fencing

We have:

[tex]Unit\ cost = \$6/yd[/tex]

So, the cost is:

[tex]Cost = Unit\ cost * Perimeter[/tex]

[tex]Cost = \$6/yd * 6l[/tex]

[tex]Cost = \$36l[/tex]

To get the actual answer, substitute the length of one side of the hexagonal in the calculated expressions

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:

[tex]h = \sqrt{2} \cdot l[/tex] (1)

Where:

[tex]l[/tex] - Length of the leg, in units.

[tex]h[/tex] - Hypotenuse, in units.

If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:

[tex]l = \frac{h}{\sqrt{2}}[/tex]

[tex]l = 11[/tex]

The length of the leg is 11 units.

Answer:

Integration

General Formulas and Concepts:

Calculus

Integration

Step-by-step explanation:

Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.

Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

D) 5/2

Step-by-step explanation:

(3, –1) and (5, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4 + 1)/(5 - 3)

m= 5/2

Answer:

5/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = (4 - -1)/(5 - 3)

   = (4+1)/(5-3)

   = 5/2

Answer:

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Step-by-step explanation:

The area of a right triangle is half of the product of the sides adjacent to the right angle.

Here the sides adjacent to the right angle are 6 yd and 4.5 yd.

Therefore the

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

Answer:3

Step-by-step explanation:

Nor except

Answer:

Step-by-step explanation:

a.3(3+7)

3*3+3*7

9+21

30

b.-3[(-6)*3]

-3*-18

54

Hey there!

Question #1

-3(3 + 7)

3 + 7 = 10

-3(10)

= -30

Question #2

-3[(-6)×3]

-6(3) = -18

-3(-18)

= 54

Question #1

Answer: -30

Question #2

Answer: 54

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

i think the endocytosis

Step-by-step explanation:

Answer:

His last turn was in West direction and his last leg of the trip is 6 Km away

Step-by-step explanation:

The direction and distance travelled is as follows

a) West - 3 Km

b) North - 6 Km

c) South 2 Km

d) West - 3 KM

At last he turned in the west direction and he travelled 3 Km + 3 Km = 6Km

Answer:

186.45 cm^3

Step-by-step explanation:

Given data

Side lenght of cube block= 8cm

Radius of cylindrical hole= 3.6cm

Volume of entire Shape= l^3

Volume of entire Shape= 8*8*8

Volume of entire block= 512cm^3

Volume of cylindrical hole= πr^2h

Volume of cylindrical hole= 3.14*3.6^2*8

Volume of cylindrical hole= 3.14*12.96*8

Volume of cylindrical hole= 325.55cm^3

Hence the volume of the block

=volume of entire shape- volume of cylinder

=512-325.55

=186.45 cm^3

Answer:

c

Step-by-step explanation:

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer: P = 166 units

Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.

I hope this helps!

Answer:

y interpret is 60

slope 60/4=20x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

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