Which number produces a rational number when multiplied by 1/2?
A. 14/11
B. 2.64575131
C.
D. /10

The digit 8 in the number 2,980.7 has a value that is 1/10 times as great as the digit 8 in the number 2,980.72.

To determine in which number the digit 8 has a value that is 1/10 times as great as the digit 8 in the number 2,980.72, we need to compare the place value of the digit 8 in each number.

Let's break down the place values for the digit 8 in each number:

Number: 2,980.72

Thousands place: 8 has a value of 8,000

Hundredths place: 8 has a value of 0.08

Number: 2,980.7

Thousands place: 8 has a value of 8,000

Tenths place: 8 has a value of 0.8

From the above comparison, we can see that in the number 2,980.7, the digit 8 has a value that is 1/10 times as great as the digit 8 in the number 2,980.72.

This is because the digit 8 in the tenths place is 1/10 times the value of the digit 8 in the hundredths place.

For more such questions on Digit:

https://brainly.com/question/30465253

#SPJ8

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=\( \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}\)

taking positive

t1=\( \frac{8+\sqrt{74}}{4}=4.15seconds\)

t2=\( \frac{8-\sqrt{74}}{4}(t2<O)(neglected)\)

So

t=4.15seconds closer to 4seconds.So

Max is closer.

To determine the dividend yield that a dividend-paying stock would have to offer for Keisha to be indifferent between investing in the stock or a city of Atlanta bond, we need to consider the after-tax cash flows for both investments.

For the city of Atlanta bond, the interest rate is 6.3 percent. Since Keisha's marginal tax rate is 37 percent, her after-tax yield from the bond would be:

After-tax bond yield = (1 - Marginal tax rate) * Bond yield

After-tax bond yield = (1 - 0.37) * 6.3%

After-tax bond yield = 0.63 * 6.3%

After-tax bond yield = 3.969%

Now, let's assume the dividend yield of the dividend-paying stock is represented by "X." The after-tax dividend yield would be calculated by applying Keisha's tax rate on dividends:

After-tax dividend yield = (1 - Tax rate on dividends) * Dividend yield

After-tax dividend yield = (1 - 0.25) * X

After-tax dividend yield = 0.75X

To determine when Keisha is indifferent between the two investments, we set the after-tax bond yield equal to the after-tax dividend yield:

0.63 * 6.3% = 0.75X

Simplifying the equation:

0.03969 = 0.75X

Dividing both sides by 0.75:

X = 0.03969 / 0.75

X ≈ 0.0529

Therefore, for Keisha to be indifferent between investing in a city of Atlanta bond with a 6.3 percent interest rate and a dividend-paying stock, the dividend yield of the stock would have to be approximately 5.29%.

Learn more about  interest rate here:

https://brainly.com/question/29186500

#SPJ11

The equation of the axis of symmetry for the given function is x = 1.

To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:

x = -b / (2a)

where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.

In this case, a = -4 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2*(-4))

x = -8 / (-8)

x = 1.

The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\)  can be found using the formula x = -b / (2a).

In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.

For similar question on axis of symmetry.

https://brainly.com/question/24314434

#SPJ11

The probability that the gambler has strictly more than $32 after playing the game five times is 68.75%.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this problem, we are dealing with a gambler who is playing a game with equal probability of doubling or reducing their stake to half.

The gambler's initial stake is $32. Let us consider the possible outcomes after one play of the game. The stake can either double to $64 or reduce to $16, each with equal probability. If the stake doubles, the gambler has more than their initial stake. If the stake is reduced to half, the gambler has less than their initial stake.

Now, let us consider the possible outcomes after two plays of the game. There are four possible outcomes:

(1) the stake doubles twice and the gambler has

=> $64 * 2 = $128,

(2) the stake doubles then reduces to half and the gambler has

=> $32 * 2 * 0.5 = $32,

(3) the stake reduces to half then doubles and the gambler has

=> $32 * 0.5 * 2 = $32,

(4) the stake reduces to half twice and the gambler has

=> $32 * 0.5 * 0.5 = $8.

We can represent these outcomes using a tree diagram. Each branch represents a possible outcome, and the probability of that outcome is written next to the branch.

After five plays of the game, there are 32 possible outcomes.

We can calculate the probability of the gambler having more than their initial stake by adding up the probabilities of all the outcomes where the gambler has more than $32. This turns out to be 0.6875 or 68.75%.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

-2.5?

Step-by-step explanation:

Answer:

the answer i got was =3.5z−28.105396

Step-by-step explanation:

hoped I helped:)

The maximum revenue is $300 and it occurs when the price is $10. The price that maximizes revenue is $10.

a) Given the demand equation x = -3p + 60
b) To find the revenue when the price is $17, we'll first find the quantity sold (x) and then multiply it by the price (p).
x = -3(17) + 60
x = -51 + 60
x = 9
Revenue = Price × Quantity
Revenue = 17 × 9
Revenue = $153
When the price is $17, the revenue is $153.
c) To maximize revenue, we'll find the price (p) that maximizes the revenue function R(p) = px = p(-3p + 60).
R(p) = -3p² + 60p
To find the maximum revenue, we'll find the vertex of this quadratic function. The vertex occurs at p = -b / 2a, where a = -3 and b = 60.
p = -60 / (2 × -3)
p = -60 / -6
p = 10
The price that maximizes revenue is $10. Now, let's find the maximum revenue by plugging this value of p back into the revenue function:
R(10) = -3(10)² + 60(10)
R(10) = -300 + 600
R(10) = $300
The maximum revenue is $300 when the price is $10.

(a) The demand equation is x = -3p + 60. This means that the quantity sold (x) is a function of the price (p). As the price increases, the quantity sold decreases.
(b) If the price is $17, then we can plug that value into the demand equation to find the quantity sold:
x = -3(17) + 60
x = 9
So, if the price is $17, then 9 units of the product will be sold.
To find the revenue, we need to multiply the price by the quantity sold:
Revenue = price x quantity
Revenue = 17 x 9
Revenue = $153
Therefore, if the price is $17, the revenue will be $153.
(c) To find the price that maximizes revenue, we need to find the maximum point of the revenue function. The revenue function is given by:
Revenue = p * (-3p + 60)
Revenue = -3p² + 60p
To find the maximum point, we need to find the vertex of the parabola. We can use the formula:
p = -b / 2a
where a = -3 and b = 60.
p = -60 / 2(-3)
p = 10
So, the price that maximizes revenue is $10. To find the maximum revenue, we need to plug that value into the revenue function:
Revenue = -3(10)² + 60(10)
Revenue = $300
Therefore, the maximum revenue is $300 and it occurs when the price is $10.

Learn more about the price here: brainly.com/question/19091385

#SPJ11

Answer:

0.00273            Smallest

27.3 × 10^-3

2.73 × 10^3

273 × 10^2        Largest

The number of aduir tickets sold was 44. If 2/3 of the ticket is 66 and 1/3 of the tickets is 1/3, you’ll know that by diving 66 with 3 you find the answer for the children’s ticket. 66 divide 3 is 22. But how do you find the adults ticket? Well if the rest are all adults which it is then you find the left overs. 66-22=44 and the answer will be 44. 1/3 of 66 is 22 and 2/3 of 66 is 44.

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ4

The perimeter of the garden is:

90 + 30√3 feet

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The perimeter of the garden is the sum of all the three sides of the garden.

Check the attached for the sketch of the garden.

Thus, we can say:

sin 60 = (30√3)/y

(√3)/2 =  (30√3)/y

1/2 =  30/y

y = 2 * 30

y = 60 feet

tan 30 = x/(30√3)

1/√3 = x/(30√3)

(√3) x = 30√3

x = 30 feet

perimeter = x + y + 30√3

perimeter = 30 + 60 + 30√3

perimeter = 90 + 30√3 feet

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

Learn more about height here:

https://brainly.com/question/10726356

#SPJ11

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

Yes

Step-by-step explanation:

Because they are reflecting over a x intercept

yes, it's a reflection

Answer:

150 guests

Step-by-step explanation:

workouts are in the image

The probability that Mr. Chiu's class will take the quiz is b).1/4.

To determine the probability that Mr. Chiu's class will take the quiz, we need to calculate the probability of getting either all heads or all tails when flipping a coin three times.

When flipping a fair coin, the probability of getting either heads (H) or tails (T) on a single flip is 1/2.

Let's consider the two cases separately:

Case 1: All three results are heads (HHH):

The probability of getting heads on a single flip is 1/2. Since each flip is independent, the probability of getting three heads in a row is (1/2) * (1/2) * (1/2) = 1/8.

Case 2: All three results are tails (TTT):

Similar to Case 1, the probability of getting tails on a single flip is also 1/2. So, the probability of getting three tails in a row is (1/2) * (1/2) * (1/2) = 1/8.

Since we are interested in either of these two cases happening for the class to take the quiz, we can add their probabilities together:

P(Class takes the quiz) = P(All three results are heads) + P(All three results are tails)

                         = 1/8 + 1/8

                         = 1/4

Therefore, the probability that Mr. Chiu's class will take the quiz is 1/4.

The correct answer is (b) 1/4.

To know more about "Probability"  refer here:

brainly.com/question/30034780#

#SPJ4

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

⠀

we know that,

\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

BUTTT,

he ran the 200-meter race in 19.5 seconds.

According to the question,

we have to compare the speed

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

The two speeds are equal of Yohan Blake.

Answer:

a = 8

b = 7

Step-by-step explanation:

For us to have infinitely many solutions, then what we have on the right side must be equal to what is on the left

In this case, our a value will be equal to 8 whole out b value will be equal to 7

Answer:

x-5

Step-by-step explanation:

Because the opposite of (5-x )is (x-5)

Answer:

x-5 or -5x

Step-by-step explanation:

Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.


a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.

To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.

To know more about plot. visit:

https://brainly.com/question/15579115

#SPJ11

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

for similar questions on  range of the function.

https://brainly.com/question/29017978

#SPJ8

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Answer:

Step-by-step explanation:

Applying the definition of linear pair angles, the measures are:

y = 10

m∠JKM = 106°

m∠MKL = 74°

A linear pair involves two angles that lie adjacent to each other on a straight line. The sum of their measures is equal to 180 degrees, this is because linear pair angles are supplementary to each other.

Given the following:

Measure of angle JKM = (10y + 6)°

Measure of angle MKL = (8y - 6)°

Therefore:

m∠JKM + m∠MKL = 180 [linear pair angles are supplementary]

Substitute

10y + 6 + 8y - 6 = 180

Combine like terms

18y = 180

18y/18 = 180/18

y = 10

Plug in the value of y to find the measures:

Measure of angle JKM = (10y + 6)° = 10(10) + 6 = 106°

Measure of angle MKL = (8y - 6)° = 8(10) - 6 = 74°

Learn more about linear pair on:

https://brainly.com/question/10987396

#SPJ1

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

Answer:

Step-by-step explanation:

Given the data:

Weight ____Height

110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

Answer:

A potential outlier at (140,40)

Step-by-step explanation:

An outlier is an extreme point in a data set that is separated from all other points.

Answer:

Part One is -6 degrees

Part Two is 7.5 degrees

Step-by-step explanation: