There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?

Step-by-step explanation:

v=Ah

A=9×12

= 108

then, v=108×8

Answer:

37.3

Step-by-step explanation:

tan63 = opposite/adjacent = x/19

x = 19tan63 = 37.2895 = 37.3

Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]

a = 19

b = x

c = 63

solution

b = [tex]\sqrt{c^2-a^2}[/tex]

b = [tex]\sqrt{63^2-19^2}[/tex]

b = [tex]\sqrt{3,969 -361}[/tex]

b = [tex]\sqrt{3,608}[/tex]

b = [tex]\sqrt{60.0666}[/tex]

rounded off: 60.0 or just 60

x = 60

Answer:

Step-by-step explanation:

correct 100%

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

Answer:

The F-Ratio increases as, the variability between means increases relative to the variability within groups

Step-by-step explanation:

The F-Ratio is given as follows;

[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]

Where;

[tex]MS_{between}[/tex] = The variance between groups

[tex]MS_{within}[/tex] = The variance within groups

Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

Answer:

A

Step-by-step explanation:

A negative slope goes down from left to right

A positive slope goes up from left to right

A zero slope is a horizontal line

An undefined slope is a vertical line

A  is a line that goes down from left to right

Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

[tex]50 + x + x = 180[/tex]

[tex]50 + 2x = 180[/tex]

[tex]2x = 130[/tex]

[tex]x = 65[/tex]

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

[tex]32.5 + 65 + x = 180[/tex]

[tex]98.5 + x = 180[/tex]

[tex]x = 81.5[/tex]

Angle C is 81.5 as well so

[tex]81.5 + 81.5 = 163[/tex]

Find angle o

[tex]180 - 163 = 17[/tex]

Answer:

x = 1 và 2       x= 1 and 2

Step-by-step explanation:

Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2

First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2

Answer:

they are the values of the 3 coefficients.

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)

m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)

m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)

Correct choice is B

Answer:

obviously sus island

Step-by-step explanation:

Answer:

7:16 P.M.

Step-by-step explanation:

24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.

Answer:

Orange juice

Step-by-step explanation:

The unit rate is the cost for one unit (e.g. per jug). All other options display the cost for more than one unit (e.g. 3 bags; 10 pages; 2 dozen)

Answer:

5000

Step-by-step explanation:

Explanation

a sanwich which is most commonly a square, has the side lengths of 5 and 5.

cuting this in half will give you a 45-45-90 triangle

the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]

so the hypotonuse is  5[tex]\sqrt{2}[/tex]

The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

Using the Pythagorean theorem, we can calculate the diagonal length as follows:

diagonal² = length² + height²

diagonal² = (5 inches)² + (3.5 inches)²

diagonal² = 37.25 inches²

Taking the square root of both sides, we find:

diagonal = √37.25 inches

Calculating the square root of 37.25, we get:

diagonal ≈ 6.106 inches

Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

Learn more about length

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Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

7/8 = x/56

x = 7 x 7

so, 49/56 = rod

so, 49 pieces will be made

hope it helps :)

Answer:

3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Step-by-step explanation:

Multiply every term of the first binomial by every term of the second binomial.

(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

(| 5 - 3x | - 1) - (1 - 3x) = 0

|5 - 3x| - 1 - 1 + 3x = 0

|5 - 3x| - 2 + 3x = 0

1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0

3 = 0. has no solutions

2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0

-5 + 3x - 2 + 3x = 0

6x = 7

x = 7/6

5 - 3x < 0

-3x < -5

x > 5/3.

has no solutions

From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.

From the given number line, we have inequality as {x|x≤4.5}

Therefore, option B is the correct answer.

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Answer:

B

Step-by-step explanation:

Volume of the figure = Volume of cylinder + Volume of cone

Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder

Volume of cone=(1/3)*96=32

Volume of the figure = 32+96=128

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Work Shown:

(whole length)*(external part) = (whole length)*(external part)

(EG)*(FG) = (SG)*(HG)

(2x+4)*(4) = (x+5)*(5)

8x+16 = 5x+25

8x-5x = 25-16

3x = 9

x = 9/3

x = 3

Use this x value to find EF

EF = 2x

EF = 2*3

EF = 6

For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.

Answer:

[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]

Step-by-step explanation:

Hi there!

[tex]y = 6x^2 - 17x - 3[/tex]

Factor by grouping:

[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]

Let y=0. Apply the zero product property:

[tex]0 = (6x+1)(x- 3)[/tex]

[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]

AND

[tex]x-3=0\\x=3[/tex]

I hope this helps!

Answer:

The function will have a vertical compression when 0 < α < 1

Step-by-step explanation:

The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;

[tex]f(x) = a \cdot \left(\dfrac{x}{c} - h \right)^2 + k[/tex]

The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient

A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1

Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.

Answer:

[tex]log16x = \frac{1}{4} \\ x = \frac{ {10}^{ \frac{1}{4} } }{16} \\ x = 0.111[/tex]