CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

Step-by-step explanation:

$240 for 12 t-shirts.

that means 240/12 = $20 per shirt.

therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.

all the other options use a different unit price.

[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]

Answer:

15N.

Step-by-step explanation:

45 - 30

= 15N.

Answer:

15

Step-by-step explanation:

45N - 30N = 15N

The resultant force on the boat is 15N.

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

820 miles

how far the airplane can travel in an hour.

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

Answer:

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

  The range is the largest data value minus the smallest data value.

95 - 8 = 87

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

9

Step-by-step explanation:

The answer above is correct.

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

Answer:

82•5°

Step-by-step explanation:

[tex]28 + 68.5 + x = 180[/tex]

[tex]x = 180 - 97.5[/tex]

[tex]x = 82.5[/tex]

Here,

let the forth degree of the quadrilateral be y

Then,

90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)

or, 248.5+ y=360°

or, y = 360° - 248.5°

or, y= 111.5°

Again, the second angle of the triangle be a

Then,

a=111.5(vertically opposite angle)

Lastly,

29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)

or, 140.5° + x = 180°

or, x =180° - 140.5°

or, x=39.5°

Answer:

It's 28, B

Step-by-step explanation:

EDGE 2022

If product of two consecutive positive integers is 812 then the value of lesser integer is 28.

Two or more expressions with an Equal sign is called as Equation.

Let's represent the lesser integer by x.

The next consecutive integer would be x + 1.

According to the problem, the product of these two integers is 812. So we can set up the equation:

x(x + 1) = 812

Expanding the left side and simplifying, we get:

x² + x = 812

Rearranging and factoring the left side, we get:

x² + x - 812 = 0

(x - 28)(x + 29) = 0

we can eliminate the negative value.

Therefore, the value of the lesser integer is 28. option B is correct.

To learn more on Equation:

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#SPJ5

Answer:

Volume: 192 cubic inches

Surface area: 272 square inches

Manufacturing cost: $13.60

Answer:

Its 58

Step-by-step explanation:

2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56

Answer:

Step-by-step explanation:

*View the attached file*

Hope this helps!

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

Answer:

2x

Step-by-step explanation:

X = chris's money

2 times chris's money = 2x

Answer:

  -11x² +14x -11

Step-by-step explanation:

When one polynomial is subtracted from another, each of the terms of the subtrahend is subtracted from the corresponding term of the minuend.

  (-2x² +4x -10) -(9x² -10x +1)

  = (-2 -9)x² +(4 -(-10))x +(-10 -1)

  = -11x² +14x -11

Answer:

Be a wise girl or guy, Give math a try!

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.

The probability of flipping tails is 1/2. We need three of these.

1/2 x 1/2 x 1/2 = 1/8

Answer:

7176

Step-by-step explanation:

23 is a prime factor.

3 & 13 are the prime factors of 39.

2, 2, & 2 are the prime factors of 8.

Determine the max. number of times each prime factor occurs.

Calculate: 2^3 x 3 x 13 x 23 = 7176

Answer:

7,176

Step-by-step explanation:

The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176

Hope this helps!

Answer:

  simplify the radical

Step-by-step explanation:

You have shown the solution using the quadratic formula.

The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.

  [tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]

_____

Additional comment

0 is the additive identity element, so adding or subtracting zero changes nothing.

  [tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)

The number is written in the form  [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Finding the value of n from the given equation:

[tex](4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}[/tex]

Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: [tex]2.0 \times 10^{12}[/tex]

Learn more about scientific notation here:

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem, we have that:

A = 108, l = 6 + 4w.

Hence, using the equation for the area:

lw = 108

(6 + 4w)w = 108

4w² + 6w - 108 = 0

2w² + 3w - 54 = 0

Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:

[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]

[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]

[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]

Width is a positive measure, hence it is of 3 inches.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

Answer:

wow asphalt theme I have that too in my quizziz

Answer:

576π

Step-by-step explanation:

Surface Area of a Sphere

Given

Solving