Derek and Eric share £30 in the ratio 2:3. How much does Eric get?

Answer

138

Step-by-step explanation:

The answer is 138 because, when you take 258 and subtract it by 120, you will end up with 138!  

Answer:

It was most likely raised by 46%

Step-by-step explanation:

120/258

Answer:

\({ \sf{ {b}^{3} = 8}} \: \: \\ { \sf{ {b}^{3} = {2}^{3} }} \\ { \sf{ {(b}^{3}) {}^{ \frac{1}{3} } = {( {2}^{ 3}) }^{ \frac{1}{3} } }} \\ { \sf{b ={ \boxed{ 2}}}}\)

Answer:

b=2

Step-by-step explanation:

\(b^{3} = 8\\\\b^{3} = 2^{3} \\\\b=+2\)

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

Learn more about sinusoid function click;

https://brainly.com/question/21008165

#SPJ1

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

Step-by-step explanation:

I dont know if you meant to punch in a c into the equation but if you didnt mean to i have both answers

Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

For more questions on percentage,

https://brainly.com/question/24877689

https://brainly.com/question/843074

I cannot interpret or analyze visual graphs. However, I can provide some general guidance on how to approach the questions:

a. To determine the prices of soda and/or taco based on the Budget Constraint BC2, you need to find the points where the budget line BC2 intersects with the axes (taco and soda quantities). The prices can be derived from the slope of the budget line, where the slope represents the rate at which one good can be traded for another.

b. To find the combination of taco and soda quantities that optimizes Ali's utility, you need to look for the point where the indifference curve (IC) is tangent to the budget line (BC). This point represents the maximum level of utility Ali can achieve within his budget constraint. It's the point where the marginal rate of substitution (MRS) between tacos and soda is equal to the price ratio of tacos to soda.

Answer:

A) f'(x) = 0.3((x-1)²+1)

Step-by-step explanation:

Answer: Dana estimation is incorrect because difference = 598 miles

Step-by-step explanation:

Given data,

Dana has driven her car 95,598 miles.

She estimates she can

drive the car another 5000 miles.

she can,

drive the car another 5000 miles before the mileage reaches

100,000 miles.

Estimated Mileage of the car is equal to 100,000 miles.

That is,        

Estimated  Mileage of the car is = 100,000 miles.

So,

We can write,

Total distance Dana has to travel = already driven + additional miles to cover

Total distance Dana has to travel = 95,598 + 5,000 miles

Total distance Dana has to travel = 1,00,598 miles.  

As per mileage of car is  100,000 miles.

So, Dana has to travel = 1,00,598 miles.  

So, Dana estimation is incorrect because difference is = 100,598 - 100,000

Therefore,  

Dana estimation is incorrect because difference = 598 miles

Learn more about event correlation here: brainly.com/question/17152677

#SPJ9      

Answer:

minus the total students with the one that attained on the graduation day & the answer/total high school students ×100

thats it the answer is the __%

Answer:

rffrefr

Step-by-step explanation:

a) The initial height of the football at t = 0 is 2 feet.

b) The ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball is approximately 23.9 feet.

d) It takes approximately 4.579 seconds for the ball to hit the ground.

a) The initial height of the football at time t = 0 can be found by substituting t = 0 into the equation \(5t^2 + 20.5t + 2:h = -5(0)^2 + 20.5(0) + 2 = 0 + 0 + 2 = 2\)

Therefore, the initial height of the football is 2 feet.

b) To find the time at which the ball reaches its maximum height, we can observe the graph of the equation h = \(-5t^2 + 20.5t + 2.\) The maximum height corresponds to the vertex of the parabolic graph. The t-coordinate of the vertex can be calculated using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation.

In this case, a = -5 and b = 20.5. Plugging these values into the formula, we get:

\(t = -20.5 / (2\times (-5)) = -20.5 / -10 = 2.05\)

Therefore, the ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball can be found by substituting the time t = 2.05 into the equation \(h = -5t^2 + 20.5t + 2:\)

h = -5(2.05)^2 + 20.5(2.05) + 2 ≈ -20.125 + 42.025 + 2 ≈ 23.9

Therefore, the maximum height of the ball is approximately 23.9 feet.

d) To find the time it takes for the ball to hit the ground, we need to determine when the height h becomes zero. We can set the equation \(-5t^2 + 20.5t + 2 = 0\) and solve for t.

This quadratic equation can be solved using factoring, the quadratic formula, or by graphing. The solutions are t ≈ -0.179 and t ≈ 4.579. Since time cannot be negative in this context, the ball takes approximately 4.579 seconds to hit the ground.

For more such questions on maximum height

https://brainly.com/question/26746473

#SPJ8

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

for such more question on fewest number

https://brainly.com/question/859564

#SPJ8

Answer:

$42.60.

Step-by-step explanation:

You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60

Answer:

C. \(F(x) = -x^2 - 3\)

Step-by-step explanation:

The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.

This makes "C," the correct answer, as it fulfills these requirements.

Answer:

4x+8

Step-by-step explanation:

f(x)=x+5

g(x)=4x+3

Now,

f(4x+3)

4x+3+5

4x+8

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

For more questions on: probability

https://brainly.com/question/23417919

#SPJ8                  

Answer:

The value is \(P(8 < X < 10 ) = 0.8186\)

Step-by-step explanation:

From the question we are told that

    The mean is  \(\mu = 10 .0\)

     The standard deviation is  \(\sigma = 1\)

Generally the probability that a single reading is between 8 and 10 is mathematically represented as

      \(P(8 < X < 10 ) = P( \frac{8 - 10 }{ 1} < \frac{X - \mu }{ \sigma } < \frac{10 - 10 }{1} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

=>    \(P(8 < X < 10 ) = P( -2 < Z< 1 )\)

=>   \(P(8 < X < 10 ) = P( Z< 1 ) - P( Z < -2 )\)

From the z table  the area under the normal curve to the left corresponding to  1 and  -2  is  

       \(P( Z< 1 ) = 0.84134\)

and

     \(P( Z < -2 ) = 0.02275\)

=>   \(P(8 < X < 10 ) = 0.84134 - 0.02275\)

=>   \(P(8 < X < 10 ) = 0.8186\)

Answer:

Irrational Numbers.

Explanation:

If a number can be written in the form:

Such a number is said to be Rational.

Thus, any number that cannot be written in this form is called an Irrational Number.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Step 1: Let's recall the formula of the area of a circle, as follows:

Step 2: Let's replace the values we know in the formula above:

In case the area of the circle is 641, instead of 64:

None of the choices given is correct, unless 4.515 is rounded to 5.

Answer: the width is 29 feet and the length is 37

Step-by-step explanation:

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

Answer:

A

Step-by-step explanation:

No need. It’s simple.

B can’t be it because it uses multiplication.

C can’t be it because it makes no sense.

D also makes no sense.

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

For more such questions square,click on

https://brainly.com/question/27307830

#SPJ8

The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

C.

Step-by-step explanation:

5/4x-2=3/2x-4

5/4x-3/2x = -4+2

(multiply both sides by 4)

5x-6x=-16+8

-x=-8

(multiply by -1)

x=8

Answer:

C

Step-by-step explanation:

\(\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14\\) isolate the terms with the variable x

\(\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}\) get the same denominator and combine like terms

\(\frac{10x-3x}{4} = \frac{28-7}{2}\) solve

\(\frac{7x}{4} =\frac{21}{2}\) crossmultiply and solve for x

\(x=\frac{4*21}{7*2} =6\) so is not the first option

try second

\(\frac{5x}{4} -9=\frac{3x}{2} -12\) same steps as before

\(\frac{5x-6x}{4}=9-12\\)

\(\frac{-x}{4} =\frac{-3}{1}\)  so  x=12 not the second option

try third option

\(\frac{5x}{4} -2=\frac{3x}{2} -4\)

\(\frac{5x-6x}{4} =2-4\)

\(\frac{-x}{4} =\frac{-2}{1}\) so x=8

The correct answer is B. Hardness and brittleness

Explanation:

The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.

These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.

Answer:

B.

Step-by-step explanation: