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Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

Answer:

Money in her purse is Rs. 500.

Step-by-step explanation:

Let the money in her purse = Rs. [tex]x\\[/tex]

Let the money in her Money box = Rs. [tex]y[/tex]

As per question statement,

[tex]2x+y=1700[/tex]  ........ (1)

[tex]3x+y=2200[/tex] ....... (2)

To find: Money in her purse = ? i.e. [tex]x=?[/tex]

Let us solve for [tex]x[/tex] using the two linear equations.

We can use substitution method here i.e. find value of one variable from one equation and then substitute that value in other equation.

Using equation (1), we get the value of [tex]y[/tex] as follows:

[tex]y=1700-2x[/tex]

Now, let us put this value of y in equation (2) to find the value of [tex]x[/tex]:

[tex]3x+1700-2x=2200\\\Rightarrow x+1700 = 2200\\\Rightarrow x=2200-1700\\\Rightarrow x = Rs.\ 500[/tex]

Money in her purse is Rs. 500.

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

Answer: In zhi's equation, the 18 is the initial amount of tickets, and the 3g means 3 times the amount of games.  

Diegos equation is the same, but write in factorised form. The 3 multiplies with the 6 to create 18, and the 3 multiple with the g to create 3g

Answer:

Half of its original

Step-by-step explanation:

When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.

Examples:

In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2

In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.

Hope this helps

Good luck

Answer:

D

Step-by-step explanation:

Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct

Answer:

[tex]\boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

[tex]y= (x + 1)(x - 1)(x - 4)[/tex]

Let x = 0, find the y-intercept.

[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]

[tex]y= ( 1)(- 1)(- 4)[/tex]

[tex]y=4[/tex]

The function crosses the y-axis at 4.

The only graph that shows this is graph D.

Answer:

x = [ -b +- sqr root (b^2 - 4ac)] / 2a

a = 1

b = -5

c = -2

x = [- - 5 +- sqr root (-5^2 -4 * 1 * -2)] / 2 * 1

x = [5 +- sqr root (25 + 8)] / 2

x1 =  5.3723

x2 =-0.37228

Step-by-step explanation:

Exact solution for the give quadratic equation are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Quadratic equation of the form [tex]ax^2+bx+c=0[/tex]

For any quadratic equation we get two values for x. we can find the values for x by applying quadratic formula .

Quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Given equation is [tex]x^2-5x-2=0[/tex]

The value of a=1, b= -5  and c=-2

Substitute all the values in the formula.

To find out exact solutions , we need to simplify the final answer.

Exact solutions are without any decimals.

[tex]x=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\pm \sqrt{33}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\p+ \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5+\sqrt{33}}{2}\\\\x=\frac{-\left(-5\right)- \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5-\sqrt{33}}{2}\\[/tex]

Exact solutions are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Learn more information about 'Quadratic formula ' here

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Answer:

0

Step-by-step explanation:

Please check attachment for complete solution

Answer:

D. 0

Step-by-step explanation:

last option

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

Answer:

D) Van: 7, Bus: 20

Step-by-step explanation:

Add the amount of students together (455 students in total)

Then I added the amount of buses and vans together (5 Vans and 21 Buses)

Then I plugged in each answer

5 x 7 = 35

455 - 35 = 420

420 / 21 = 20

Answer:

3 degrees F

Step-by-step explanation:

if the temperature rose 1* for 7 hours, times 1 by 7. which is 7 and add to -10. which is -3. then, since the temperature rose by 2* for 3 hours, times 2 by 3 which is 6 and add to -3, which is 3.

i hope this helped?

Approximate what the value of [tex]7/15[/tex] is by using calculator.

[tex]7/15\approx0.47[/tex].

And now just multiply by 100 to get percentage.

[tex]100\cdot0.47=\boxed{47\%}[/tex].

Hope this helps.

Answer:

24%

Step-by-step explanation:

7\15 x 100

simplify and get=140\3

dived140\3=48\2

simplify 48\2=24%

Answer:

a) [tex]a_n=3\,n-11[/tex]

b) [tex]a_{20}=49[/tex]

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

[tex]a_n=a_1+(n-1)\,d[/tex]

That in our case would give:

[tex]a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11[/tex]

b)

Therefore, the term number 20 can be calculated from it:

[tex]a_{20}=3\,(20)-11=60-11=49[/tex]

c) in order to find which term renders 20, we use the general form we found in step a):

[tex]a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17[/tex]

so term number 17 is the one that renders a value of 40

Answer:

c. translation (x,y) -> (x-4, y-1) followed by reflection about y=0

Step-by-step explanation:

The strategy is to translate B to E then reflect about the x-axis (y=0)

From B to E, the process is

(x,y) -> (x-4, y-1)

Therefore it is a translation (x,y) -> (x-4, y-1) followed by reflection about y=0

Answer:

The table D represents the function that will have the greatest y-values for very large values of x.

Step-by-step explanation:

The table A represents a linear function, for which each one unit increment in the "x" variable produces a three unit increment in the "y" variable. This means that the growth rate of this function is 3.

The table B also represents a linear function, for which each one unit increment in the x variable produces a 100 unit increment in the y variable. This means that the growth rate of this function is 100.

The table C also represents a linear function, for which each one unit increment in the x variable produces a 10 unit increment in the y variable. This means that the growth rate of this function is 10.

The table D on the other hand does not represent a linear function, since the growth rate is variable and increases for greater values of x. This means that as x grows larger, the growth rate of the function also grows larger, resulting in a much greater y value for very large x values if we compare it to a linear function, like the other options.

Answer:

D

Step-by-step explanation:

BIGBRAIN

Answer:

A. AB

Step-by-step explanation:

Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.

What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.

m < A = 59°

m < C = 57°

m < C = 180 - (59+57) (sum of angles in a triangle)

m < C = 64°

The smallest angle out of the three angles is angle C = 57°.

The side opposite it, is side AB.

Side AB is the shortest side of ∆ABC.

Therefore, AB should be parallel to the ground.

The

side

of the musical instrument that should be parallel to the ground if the

dimensions

are as given is side AB, which is option A.

Given that:

Jordon will play a

triangle

in his school’s music program.

When playing, the shortest side

is hanging down,

parallel

to the ground.

From the figure:

m∠A = 59°

m∠C = 57°

By the

angle sum

property,

m∠A + m∠B + m∠C = 180°

59° + m∠B + 57° = 180°

m∠B + 116° = 180°

m∠B = 180° - 116°

        = 64°

The

shortest side

will be the side that is opposite to the smallest angle.

So, the smallest side is the side opposite to C.

So, the side is AB.

Hence, the side is AB, which is option A.

Learn more about

Triangles

here :

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Answer:

[tex]f(x) =\sqrt[3]{x}[/tex]

Step-by-step explanation:

Hello!

Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:

[tex]g(x) = \sqrt[3]{x-5}+7[/tex]

To have the the parent function, we must find the parent one, let's call it by f(x).

[tex]f(x) =\sqrt[3]{x}[/tex]

This function satisfies the Domain of the given one, because the Domain is still [tex](-\infty, \infty)[/tex] and the range as well.

Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.

Answer:

5 units to the right and 7 units up (B on edge)

Step-by-step explanation:

So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.

Step 1) Find the circumference

C = pi x diameter

C = 3.14 x 3

C = 9.42

Step 2) Divide the length of the string by the circumference

90.42 / 9.42 = 9.5987

The string would make approximately 9.60 turns around the test tube.

Hope this helps!! :)

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

- 3y + 4x = 9

3y = 4x - 9

Divide both sides by 3

y = 4/3x - 3

Comparing with the above formula

Slope / m = 4/3

Since the lines are parallel their slope are also the same

So slope of the parallel line l is also 4/3

Equation of the line using point (-12 , 6) is

y - 6 = 4/3(x + 12)

Multiply through by 3

That's

3y - 18 = 4(x + 12)

3y - 18 = 4x + 48

We have the final answer as

Hope this helps you

Answer:

[tex]p = \frac{1}{2}[/tex]

[tex]q = 5[/tex]

[tex]h^{-1}(h(3)) = 3[/tex]

Step-by-step explanation:

Given

[tex]h(x) = px - \frac{5}{2}[/tex]

[tex]h^{-1}(x) = q + 2x[/tex]

Solving for p and q

Replace h(x) with y in [tex]h(x) = px - \frac{5}{2}[/tex]

[tex]y = px - \frac{5}{2}[/tex]

Swap the position of y and d

[tex]x = py - \frac{5}{2}[/tex]

Make y the subject of formula

[tex]py = x + \frac{5}{2}[/tex]

Divide through by p

[tex]y = \frac{x}{p} + \frac{5}{2p}[/tex]

Now, we've solved for the inverse of h(x);

Replace y with [tex]h^{-1}(x)[/tex]

[tex]h^{-1}(x) = \frac{x}{p} + \frac{5}{2p}[/tex]

Compare this with [tex]h^{-1}(x) = q + 2x[/tex]

We have that

[tex]\frac{x}{p} + \frac{5}{2p} = q + 2x[/tex]

By direct comparison

[tex]\frac{x}{p} = 2x[/tex] --- Equation 1

[tex]\frac{5}{2p} = q[/tex]  --- Equation 2

Solving equation 1

[tex]\frac{x}{p} = 2x[/tex]

Divide both sides by x

[tex]\frac{1}{p} = 2[/tex]

Take inverse of both sides

[tex]p = \frac{1}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex] in equation 2

[tex]\frac{5}{2 * \frac{1}{2}} = q[/tex]

[tex]\frac{5}{1} = q[/tex]

[tex]5 = q[/tex]

[tex]q = 5[/tex]

Hence, the values of p and q are:[tex]p = \frac{1}{2}[/tex];  [tex]q = 5[/tex]

Solving for [tex]h^{-1}(h(3))[/tex]

First, we'll solve for h(3) using [tex]h(x) = px - \frac{5}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex];  and [tex]x = 3[/tex]

[tex]h(3) = \frac{1}{2} * 3 - \frac{5}{2}[/tex]  

[tex]h(3) = \frac{3}{2} - \frac{5}{2}[/tex]

[tex]h(3) = \frac{3 - 5}{2}[/tex]

[tex]h(3) = \frac{-2}{2}[/tex]

[tex]h(3) = -1[/tex]

So; [tex]h^{-1}(h(3))[/tex] becomes

[tex]h^{-1}(-1)[/tex]

Solving for [tex]h^{-1}(-1)[/tex] using [tex]h^{-1}(x) = q + 2x[/tex]

Substitute [tex]q = 5[/tex] and [tex]x = -1[/tex]

[tex]h^{-1}(x) = q + 2x[/tex] becomes

[tex]h^{-1}(-1) = 5 + 2 * -1[/tex]

[tex]h^{-1}(-1) = 5 - 2[/tex]

[tex]h^{-1}(-1) = 3[/tex]

Hence;

[tex]h^{-1}(h(3)) = 3[/tex]

Answer:

B

Step-by-step explanation:

Because this equation is just a normal greater than symbol, it has to be a dotted line.

This graph starts at -2 and goes up 1 and right 3(this cancels out C as an option)

Than you shade the region with the larger number vaules, since it is greater than.

Answer: 4

Step-by-step explanation: use pick’s theorem to solve.

I+B/2-1.

We can substitute the variables with our information from the graph:

0+10/2-1=5-1=4 that’s the answe

Hope this helps

Answer:

210 students

Step-by-step explanation:

The total number of students surveyed was

19+14+30+23+14 = 100

The fraction that picked Yosemite is 14/100

Multiply that fraction by the total number of students

1500* 14/100 = 210

Answer:

210 students

Step-by-step explanation:

vote me brainliest plz

Answer:

Height of the kite = 86.60 meter (Approx)

Step-by-step explanation:

The angle of elevation to see a kite from a stone lying to the ground is 60 degrees. If a thread is tied with a kite and a stone, then that thread is 100 meters long, find the height of the kite.

Given:

Length of thread = 100 meter

Angle of elevation = 60°

Find:

Height of the kite.

Computation:

Using trigonometry application:

Height of the kite / Length of thread = Sin 60°

Height of the kite / 100 = √3 / 2

Height of the kite = [√3 / 2]100

Height of the kite = 50√3

Height of the kite = 86.60 meter (Approx)

Answer:

2<F(x)<5

Step-by-step explanation:

We can guess that it come between 2 and 5 given the pattern that we see in the table, but there’s no reason we can’t solve it to be sure.

F(x)=3 (Times the square root of 1.5-1)+2

3(square root of .5)+2

3(0.7)+2

2.12+2

4.12

So, yes, it is between 2 and 5

2<F(x)<5

Answer:

12x^3 + 12x^2y + 15xy - 18x

Step-by-step explanation:

I simply expanded the equation by multiplying everything in the parentheses by 3x.

Answer:

12x^3+12x^2y+15xy-18x

Step-by-step explanation:

3x (4x^2 + 4xy + 5y - 6)

Distribute

3x *4x^2 +3x* 4xy + 3x*5y -3x* 6

12x^3+12x^2y+15xy-18x