Hudson is designing a new board game, and is trying to figure out all the possible


outcomes. How many different possible outcomes are there if he spins a spinner with


three equal-sized sections labeled Walk, Run, Stop and spins a spinner with 5 equal-


sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answer:

KE=17

Step-by-step explanation:

X=3

12+5=17

18-1=17

hope this helps :)

Answer:

KE length: 17

x = 3

Step-by-step explanation:

In this, the length of KE and EM should be the same. So we can put the numbers we have into an equation:

4x + 5 = 6x - 1

Then we just simplify

1 + 5 = 6x - 4x

6 = 2x

x = 3

Now we should find the length of KE with the expression used for KE:

4(3) + 5

12 + 5

17

Therefore, the length of KE is 17

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

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Answer:

Zero lines of symmetry

Step-by-step explanation:

Answer:

the number of apple trees = 45

Step-by-step explanation:

a) the total mass of apples produced = 25x

b) the number of containers of fertilizer required :

\(=\frac{0.8x}{5} \\= 0.16x\)

c)

(i) the equation :

648 = 90 × (0.16x)

⇔ 648 = 14.4x

(ii) solving :

648 = 14.4x

⇔ x = 648 ÷ 14.4

      = 45

Check the picture below.

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ x = \sqrt{17^2+63^2~-~2(17)(63)\cos(146^o)} \implies x = \sqrt{ 4258 - 2142 \cos(146^o) } \\\\\\ x\approx \sqrt{4258-(-1775.798)}\implies x\approx \sqrt{6033.798}\implies x\approx 78~in\)

Make sure your calculator is in Degree mode.

Answer:

Salt

Step-by-step explanation:

At its peak, Ghana was chiefly bartering gold, ivory, and slaves for salt from Arabs and horses, cloth, swords, and books from North Africans and Europeans. As salt was worth its weight in gold, and gold was so abundant in the kingdom, Ghana achieved much of its wealth through trade with the Arabs.

Hope this helps!

Brain-List?

Answer:

17

Step-by-step explanation:

51 divided by 3 = 17

Answer:

17 orders per day

Step-by-step explanation:

That's a lot of orders - 51 divided by 3 equals 17.

Answer:

\( x < - \frac{11}{2} \)

Step-by-step explanation:

Distribute 2 through the parentheses:

\(8x + 2 < 3(2x - 3)\)

Distribute 3 through the parentheses:

\(8x + 2 < 6x - 9\)

Move the variable to the left-hand side and change its sign:

\(8x + 2 - 6x < - 9\)

Move the constant to the right-hand side and change its sign:

\(8x - 6x < - 9 - 2\)

Collect like terms:

\(2x < - 9 - 2\)

Calculate the difference:

\(2x < - 11\)

Divide both sides of the inequality by 2:

\(x < - \frac{11}{2} \)

2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.

The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.

The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.

\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)

                        \((2.5)^{2}+(6)^{2}=(6.5)^{2}\)

                            6.25 + 36 = 42.25

                                  42.25 = 42.25

The sides offered satisfy the specifications for a right triangle.

Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.

Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.

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Answer:

A: 19/40

Step-by-step explanation:

LCD = 40

7*5=35 ->35/40

3*8=24 ->24/40

combine like terms

for simplicity, I'll use a mixed number

1 19/40

subtract your "full glass"

1 19/40 - 1 = 19/40

Answer:

we conclude that:

\(x^2+6x+9>2x^2+14\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:1<x<5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:5\right)\end{bmatrix}\)

Hence, (1, 5) is the solution in interval notation.

Please also check the attached graph.

Step-by-step explanation:

Given the inequality expression

\(\left(x+3\right)^2>\:2\left(x^2+7\right)\)

as

(x + 3)² = x² + 6x + 9

2(x² + 7) = 2x² + 14

so

\(\:x^2+6x+9\:>\:2x^2+14\)

rewriting in the standard form

\(-x^2+6x-5>0\)

Factor -x² + 6x - 5:  - (x - 1) (x - 5)

\(-\left(x-1\right)\left(x-5\right)>0\)

Multiply both sides by -1 (reverse the inequality)

\(\left(-\left(x-1\right)\left(x-5\right)\right)\left(-1\right)<0\cdot \left(-1\right)\)

Simplify

\(\left(x-1\right)\left(x-5\right)<0\)

so

\(1<x<5\)

Therefore, we conclude that:

\(x^2+6x+9>2x^2+14\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:1<x<5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:5\right)\end{bmatrix}\)

Hence, (1, 5) is the solution in interval notation.

Please also check the attached graph.

The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

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Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. The charge on each sphere \(Q = 1.4 \times 10^{-12}\) c.

According to coulombs law force between two charges is given by  

\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)

Here, R is the distance between both the charges Q and q.

Two small metal spheres are 35. 1 cm apart.

The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n.

We have given force F =0.036 N

R is the distance between both the charges which is given as 25 cm

So  

\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)

\(0.036 = \dfrac{1}{4\times 3.14\times 8.85\times 10^{-12} }(\dfrac{Q^2}{35. 1})\)

\(Q = 1.4 \times 10^{-12}\) c

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Answer:

Hi friend! the answer is 64/3 or 21.3333333 or 21 1/3

Step-by-step explanation:

Answer:

64/3

Step-by-step explanation:

becaseu of math bro

Answer:

155

Step-by-step explanation:

✓24025=155

..,......,.................

The final solution of the given heat equation is the linear combination of all the possible solutions of the general heat equation.

Given the heat equation, u₁ = 2uxx, where u is a function of x and t, we can solve it using the method of separation of variables.Let us assume that u(x, t) can be represented as a product of two functions, say X(x) and T(t), i.e., u(x,t) = X(x)T(t).

Now, we substitute this assumed solution in the given heat equation, which yields:XT' = 2X"T Putting the terms involving x on one side and those involving t on the other side,

we get:X" / X = λ / 2T' / T = γ Where λ is the separation constant for x and γ is the separation constant for t.The general solution of X(x) is of the form:X(x) = A cos(√λ x) + B sin(√λ x)where A and B are constants of integration.

The general solution of T(t) is of the form:T(t) = Ce^(γt)where C is a constant of integration.Now, the general solution of the given heat equation is:u(x,t) = (A cos(√λ x) + B sin(√λ x))Ce^(γt)

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Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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You can download answer here

tinyurl.com/wpazsebu

Hey there!

The answer is D

We solve this by multiplying the exponents, and we get 15:

3 x 5 = 15

So, the answer is 2^15

Hope it helps and have a great day!

Answer: y=-3x+1

Step-by-step explanation:

Step-by-step explanation:

The area of the isosceles triangle is 98 square yards.

In order to find the area of an isosceles triangle, it is important to note that it is a triangle with two sides of equal length. This means that the base of the triangle is also one of its equal sides. The height of the triangle is the distance from the base to the opposite vertex of the triangle. In order to calculate the area of the isosceles triangle, we need to use the formula for the area of a triangle, which is:

Area of a Triangle = 1/2 x Base x Height

In this problem, the base is 28 yards and the height is 7 yards. By substituting these values into the formula above, we get:

Area of Triangle = 1/2 x 28 x 7

Area of Triangle = 98 yards²

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The period of motion is approximately 1.15 seconds.

The equation for the position of a mass oscillating on a spring is given by:

x = A cos(ωt)

where:

A is the amplitude of the oscillation

ω is the angular frequency of the oscillation (in radians per second)

t is the time

Comparing this to the given equation, we see that:

A = 17.4 cm

ω = 5.46 s⁻¹

The period T of the oscillation is defined as the time taken for one complete cycle of the motion. It is related to the angular frequency by:

T = 2π/ω

Substituting the given value of ω, we get:

T = 2π/5.46 s⁻¹  ≈ 1.15 s

Therefore, the period of the motion is approximately 1.15 seconds.

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The length of the major arc LNM is \(\frac{29}{6}\pi \ cm\)

From the question,

We are to determine the value of the length of the major arc LNM

The length of the major arc LNM can be calculated using the formula

\(Length \ of \ major\ arc \ LNM = \frac{Reflex \ <LKM}{360 ^\circ} \times 2\pi r\)

Where r is the radius

First, we will determine the value of the reflex ∠LKM

Reflex ∠LKM + ∠LKM = 360° (Sum of angles at a point)

From the given information,

∠LKM = 70°

Then,

Reflex ∠LKM + 70° = 360°

Reflex ∠LKM = 360° - 70°

Reflex ∠LKM = 290°

Also, from the question

r = 3 cm

Now, putting the parameters into the formula, we get

\(Length \ of \ major\ arc \ LNM = \frac{290 ^\circ }{360 ^\circ} \times 2\pi \times 3\)

Then,

\(Length \ of \ major\ arc \ LNM = \frac{1740\pi}{360}\)

\(Length \ of \ major\ arc \ LNM = \frac{29}{6} \pi \ cm\)

Hence, the length of the major arc LNM is \(\frac{29}{6}\pi \ cm\)

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Answer:

11 cups

Step-by-step explanation:

Not really a method just started at 10 and then realised deal d was better so go up by one so 11 and c worked out better as I timed 30 by 11 and 15 by 1 + the flat fee.

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

Answer: D

Step-by-step explanation: To solve the inequality, subtract 8 from 19 to get h \(\less\)is less than 11. The only answer that is less than 11 is D.

Answer:

a) 44

b) 11

c) 4

Step-by-step explanation:

a) x + 46 = 90

   x = 90 - 46

   x = 44

b) 9x + 81 = 180

   9x = 180 - 81

   9x = 99

     x = 11

c) (5x + 30) + 40 = 90

   (5x + 30) = 90 - 40 = 50

    5x + 30 = 50

    5x = 50 - 30

    5x = 20

       x = 4

Answer:

See explanation

Step-by-step explanation:

f(x)=x² + x + 2 and g(x) = 2x² - 7

f(2) g(2)=

((2)² + (2) + 2)(2(2)² - 7)=

(4 + 2+ 2)(2(4) - 7)=

(8)(8 - 7)=

8*1=8

2 fg(2)=

2 f(g(2))=

2 f(2(2)² - 7)=

2 f(2(4)-7)=

2 f(8-7)=

2 f(1)=

2(1² + 1 + 2)=

2(1+3)=

2(4)=8

8=8

2 fg(2)=f(2) g(2) √