Please help me with this question:)

Answer:

B

Step-by-step explanation:

5^9•5^9/10•5^6/100•5^9/1000 = 5^(9+0.9+0.06+0.009) = 5^9.969

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

Step-by-step explanation:

Let k be Kevin’s age and let d be Daniel’s age.

Given : Kevin is 3 years older than Daniel.

i.e. k=d+3

Kevin's age two years ago= k-2

Two years ago, Kevin was 4 times as old as Daniel.

i.e. k-2=4(d-2)

Hence, the system of equations represents this situation :

k=d+3

k-2=4(d-2)

Answer:

540 stamps

Step-by-step explanation:

Percentage of foreign stamps = (100-70)% = 30%

Number of foreign stamps = 30% of 1800

                                           \(=\frac{30}{100}*1800\\\\=30*18\\= 540\)

Answer:

D (last one)

Step-by-step explanation:

70/100 x 1800

= 1260 local stamps

1800 - 1260

= 540 foreign stamps

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

Step-by-step explanation:

I know the answer is 26 miles but I cannot figure out how they came up with that answer using the distance formula.It looks like you need to find the shortest distance (as the crow flies) between the home and the office.

Use the Pythagorean Theorem.

6^2 + 10^2 = c^2

136 = c^2

11.67 = c

4^2 + 14^2 = c^2

212 = c^2

14.56 = c

11.67 + 14.56 = 26.2 = 26 miles

Answer:  x ∈ { (2+√3·i),2-√3·i ) }

Step-by-step explanation:

The equivalent resistance of the circuit is given by:

D. 2 Ω

In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:

Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.

Hence option D is correct.

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(a) The standard deviation of the required distribution for vitamin C is approximately 7.98 mg/d.
(B) The plot should show a bell-shaped curve centered at 60 mg/d, with the RDA located slightly to the right of the center.

(a) To determine the standard deviation of the required distribution for vitamin C, we can use the information provided about the estimated average requirement (EAR) and the recommended dietary allowance (RDA). The EAR is the mean of the distribution (60 mg/d), and the RDA (75 mg/d) is assumed to be the 97.72 percentile.

We can use the Z-score formula to find the standard deviation:

Z = (X - μ) / σ

Where Z is the Z-score, X is the value of the RDA, μ is the mean (EAR), and σ is the standard deviation.

First, find the Z-score corresponding to the 97.72 percentile. Using a standard normal table or calculator, we find that Z ≈ 2.0.

Now, plug in the values into the Z-score formula:

2.0 = (75 - 60) / σ
σ = (75 - 60) / 2.0
σ = 15 / 2.0
σ = 7.5 mg/d
Plugging in the values, we get:
1.88 = (75 - 60) / σ

Solving for σ, we get:
σ = (75 - 60) / 1.88 = 7.98

The standard deviation of the required distribution is 7.5 mg/d.

(b) To sketch the distribution of vitamin C requirements for 19- to 30-year-old women, follow these steps:

1. Draw a normal distribution curve.
2. Mark the mean (EAR) at 60 mg/d on the horizontal axis.
3. Mark the RDA at 75 mg/d and the UL at 2000 mg/d on the horizontal axis.
4. Indicate that the standard deviation is 7.5 mg/d.

The distribution of vitamin C requirements for 19- to 30-year-old women is Normal, with a mean of 60 mg/d and a standard deviation of 7.98 mg/d. The EAR, RDA, and UL can be marked on the plot as follows:

- EAR: 60 mg/d, located at the center of the distribution
- RDA: 75 mg/d, located at the 97.72 percentile of the distribution
- UL: 2000 mg/d, located at the far right end of the distribution (beyond the range of the plot)

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There are 144 ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions.

We have to list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions. We can use the knowledge of permutations and combinations to solve this problem. We can start by selecting the positions for the distinct digits, i.e., (3, 4, 5). There are 3 distinct digits, so there are 3! = 6 ways to arrange them.

Once we have placed the distinct digits, we can place the two 1's and two 2's in the remaining positions such that no two identical digits are in consecutive positions. To do this, we can use the following approach:

We can start by placing one of the 1's. There are 4 positions available for the first 1.

We can then place one of the 2's. There are 3 positions available for the first 2.

We can then place the second 1. There are 2 positions available for the second 1.

We can then place the second 2. There are 1 positions available for the second 2.

Therefore, the total number of ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions is:

6 (arrangements of distinct digits) x 4 x 3 x 2 x 1 = 144.

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Answer:

1.  (5n^2 x4^n+2)/ 6

2. y=1 y=2

Step-by-step explanation:

Answer: The slope is 5

Step-by-step explanation:

The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.

Answer:

6

Step-by-step explanation:

"Index" is another name for exponent.

Barbara invested $7,000 in stocks.

Let's denote the amount Barbara invested in stocks as 'S' and the amount invested in bonds as 'B'. We know that the total investment is $10,000, so:

S + B = $10,000 (1)

She made an 18% profit on her stock investments and a 10% profit on her bond investments. Her combined profit was $1,560. So, the profit equation will be:

0.18S + 0.10B = $1,560 (2)

We need to find the value of 'S', which represents her investment in stocks. We can do this by solving these two equations simultaneously. From equation (1), we can express B in terms of S:

B = $10,000 - S

Now, substitute this expression for B into equation (2):

0.18S + 0.10($10,000 - S) = $1,560

Simplify the equation:

0.18S + $1,000 - 0.10S = $1,560

Combine like terms:

0.08S = $560

Now, divide both sides by 0.08 to find the value of 'S':

S = $560 / 0.08 = $7,000

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Answer:

196

Step-by-step explanation:

First, convert 490% into a decimal by moving the decimal place over twice, which would be 4.9. Then, the term "of" means multiplication. So, we have this equation:

4.9 x 40 = 196

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Answer:

Step-by-step explanation:

Solution set is

{

−

4

,

3

+

i

2

,

3

−

i

2

}

Explanation:

NOTE: I WROTE THIS ANSWER THINKING THE QUESTION WAS TO SOLVE FOR

x

, NOT JUST TO FIND THE ROOTS

Step 1: List the possible factors of this equation

This will be done using the rational root theorem, which states that the factors of

f

(

x

)

=

p

x

n

+

q

x

m

+

...

+

C

are given by

Factors of C

Factors of p

, where

p

is the coefficient of the highest power of

x

.

Therefore, our possible factors are given by

±

1

,

±

2

,

±

4

,

±

5

,

±

10

,

±

20

±

2

,

±

1

Step 2: Check these factors using the remainder theorem

This is when the trial and error process comes into play. The remainder theorem is useful because you can check the remainders without actually having to do the division.

It states that if

x

−

a

is a factor of

f

(

x

)

, then

f

(

a

)

=

0

. With a little bit of trial and error, we find that

x

=

−

4

is a root because if

f

(

x

)

=

2

x

3

+

2

x

2

−

19

x

+

20

, then

f

(

−

4

)

=

2

(

−

4

)

3

+

2

(

−

4

)

2

−

19

(

−

4

)

+

20

=

0

.

Step 3: Use long division to simplify the equation

We have now found one root. We're not quite certain of the others yet. We can now simplify the equation to a quadratic by using long division or synthetic division.

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.

However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:

Treatment Mean Square = Treatment Sum of Squares / Treatment df

After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

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Answer:

I believe its 15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Since the two angles given are vertical angles, they are equal to each other. That means that 61 = 3x + 16. Now, just solve for x using regular algebra.

3x + 16 = 61

       3x = 45

         x = 15

The cereal that costs more per ounce is the cereal that is being sold at $3.09 for 13.5 ounces.

= Cost / Number of ounces

= 3.09 / 13.5

= $0.23 per ounce

= Cost / Number of ounces

= 3.99 / 20

= $0.20 per ounce

In conclusion, the first cereal costs more.

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Answer:

$1.5

Step-by-step explanation:

So you need to subtract 25 from 13 = 12 then take 3 and 5 and add = 8 then you need to divide 12 from 8 = 1.5 so i do believe that the tubes are $1.5

I may be wrong and im sorry but pls try :3

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer:

(This is the Sample Answer)

The team from the second league would be more likely to win because teams in that league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Answer:

sample answer

Step-by-step explanation:

The team from the second league would be more likely to win because teams in that league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Answer:

12, -12

21, -21

-11, 11

17, -17

-21, 21

We will have the following:

Since Lilly adds more of her tokens for each round she will end the game faster, and we can also see that the ratio of tokens is:

So, there will be less than 12 rounds.

We then have:

So, Jason has 24 tokens. [Option B]

The value of Expected value, variance, and standard deviation of y of given probability distribution is 6.4, 9.76 and 3.12 respectively.

To compute the expected value of y, denoted E(y), we use the formula:

E(y) = Σ [y × f(y)]

Using the given probability distribution, we have:

E(y) = (2 × 0.20) + (4 × 0.30) + (7 × 0.40) + (8 × 0.10) = 1.6 + 1.2 + 2.8 + 0.8 = 6.4

Therefore, the expected value of y is 6.4, rounded to 1 decimal place.

To compute the variance of y, denoted Var(y), we use the formula:

Var(y) = E(y^2) - [E(y)]^2

where E(y) is the expected value of y, and E(y^2) is the expected value of y squared. To find E(y^2), we use the formula:

E(y^2) = Σ [y^2 × f(y)]

Using the given probability distribution:

E(y^2) = (2^2 × 0.20) + (4^2 × 0.30) + (7^2 × 0.40) + (8^2 × 0.10) = 1.6 + 3.6 + 19.6 + 6.4 = 31.2

Substituting this and the previously calculated E(y) into the formula for Var(y), we get:

Var(y) = E(y^2) - [E(y)]^2 = 31.2 - 6.4^2 = 31.2 - 40.96 = 9.76

Therefore, the variance of y is 9.76, rounded to 2 decimal places.

we take the square root of the variance to find the standard deviation:

σ = √Var(y) = √9.76 = 3.12

Therefore, the standard deviation of y is 3.12, rounded to 2 decimal places.

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____The given question is incomplete, the complete question is given below:

The following table provides a probability distribution for the random variable y 2 4 7 f(u) 0.20 0.30 0.40 0.10 8 a. Compute E(y) (to 1 decimal). 5.2 b. Compute Var(y) and ơ (to 2 decimals). Var(y)

The heat lost when the temperature difference is 15 degrees Celsius and thickness 0.2 cm is 5625 Calories.

The heat lost through the window is calculated by determining the value of constant in the joint variation.

h = ( kdA / t )

where;

k = ( ht ) / ( dA )

k = ( 9000 x 0.25 ) / ( 30 x 1500 )

k = 0.05

The heat lost when the temperature difference is 15 degrees Celsius and thickness 0.2 cm is calculated as;

h = ( kdA / t )

h = ( 0.05 x 15 x 1500 ) / ( 0.2 )

h = 5,625 calories

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Answer:

1/2(3x+4)

or

1/2(3x)+2

Step-by-step explanation: