what is the weight of mid steel plate having density of 7.85 /cm 3 and 25.5 mm thickness with length = 12 inches ??​

Answer:

Graf 2 is correct

Step-by-step explanation:

The correct graph that represents the linear relationship is Graph B with a positive slope.

The table shows a linear relationship between the number of months enrolled and the total cost paid for the membership.

To determine which graph represents this relationship, we need to check if the cost increases or decreases as the number of months enrolled increases. If the cost increases, it means the graph should have a positive slope. If the cost decreases, it means the graph should have a negative slope.

Let's look at the table:

Number of Months Enrolled                                   Total Cost

1                                                                               75

2                                                                               100

3                                                                                 125

As the number of months enrolled increases, the total cost increases. Therefore, the graph should have a positive slope. From the given options, the graph that correctly represents this linear relationship is Graph B, which has a positive slope.

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If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where

A = Amount

r =Interest rate.

n =Number of years

P =Principal

Benjamin

P = $20,000

r = 7 5/8% = 7.625% = 0.07625

n = 12 months

t = 10 years

Hence,

A = 20,000 (1+0.07625/12)^12× 10

A = 20,000 (1+0.006354)^120

A = 20,000 (1.006354)^120

A = $42,768.42

Kehlani

P = $20,000

r = 7 3/4% = 7.75= 0.0775

n = 4 months

t = 10 years

Hence,

A = 20,000 (1+0.0775/4)^4× 10

A = 20,000 (1+0.019375)^40

A = 20,000 (1.019375)^40

A = $43,091.25

Difference:

Difference = $43,091.25 - $42,768.42

Difference = $322.83

Therefore the amount of money is $322.83.

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Answer:322

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Point Form:

(

3

4

,

−

2

,

1

2

)

Equation Form:

x

=

3

4

,

y

=

−

2

,

z

=

1

2

Answer:

Quadratic binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

Answer:

B. Quadratic trinomial

Step-by-step explanation:got it right on Pluto hope it helps

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Alfonso received a 30% overall discount on the refrigerator and the stove together if the sale price of the refrigerator was 2/3 of the sale price of the stove. Therefore, statement (c) is the correct answer.

To see why, let's use some algebra. Let R be the original price of the refrigerator and S be the original price of the stove. Then the sale price of the refrigerator is 0.6R and the sale price of the stove is 0.8S. The total amount Alfonso paid is 0.6R + 0.8S.

To receive a 30% overall discount, Alfonso must have paid only 0.7 times the total original price, which is 0.7(R + S). Therefore, we have the equation:
0.6R + 0.8S = 0.7(R + S)

Simplifying this equation gives:
0.1R = 0.1S
R = S

So the original prices of the refrigerator and the stove were the same. This means that statement (C) is  true.

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Complete Question:  

Alfonso went to famous Sam's Appliances store and purchased a refrigerator and a stove. The sale price of the refrigerator was 40% off the original price and the sale price of the stove was 20% off the original price.

Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?

a) The sale prices of the refrigerator and the stove were the same.

b) The original prices of the refrigerator and the stove were the same.

c) The sale price of the refrigerator was twice the sale price of the stove.

d) The original price of the refrigerator was twice the original price of the stove.

Answer:  -7.5

Step-by-step explanation:  Simplify. turn the 1/2 into a decimal and it will make it much easier

Answer:

y=4 and x=-1

Step-by-step explanation:

so in the first equation get x by itself so subtract 2x and subtract y and then divide by two so you should have x=1+y/2

then in the second equation plug in 1+y/2 for x

y=7(1-y/2)+11

(distribute) y=7-7y/2+11

y=18-3.5y

(add 3.5y) y+3.5y=18

4.5y=18

divide by 4.5 and y=4

now go back to the first equation and solve for x

4=-2x+2

2=-2x

x=-1

Answer:

67.63 oz

Step-by-step explanation:

1 liter = 33.814 oz

2 litres = 2 x 33.814 oz = 67.628 oz

Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

Answer: -7, -2, 2, 7

Answer:

1.25 hours

Step-by-step explanation:

While driving on the highway, Mason put his car on cruise control at 68 miles per hour. Therefore it takes 1.25 hours to drive 85 miles.

The t-statistic is less than the critical value, we fail to reject the null hypothesis

The hypothesis testing to be conducted here is a two-tailed test for the population mean, using the formula:

H0: μ = 7.6 days

Ha: μ ≠ 7.6 days

The critical value is ± 1.960, with a confidence level of 95%.

The sample mean is 7.5 days and the sample standard deviation is 0.9 days. Using the formula, we can calculate the t-statistic:

t = (7.5 - 7.6) / (0.9 / √250) = -1.105

Since the t-statistic is less than the critical value, we fail to reject the null hypothesis, suggesting that Formulation NS does not significantly speed up the healing process compared to the foregoing treatment.

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Answer:

i think it is c

Step-by-step explanation:

The value of the double integral is 140/3.

To calculate the double integral of the function f(x, y) = 7x * x^2 * y^2 over the region R = [1, 3] × [0, 1], we integrate with respect to y first, and then with respect to x.

The integral is given by:

∫∫R 7x * x^2 * y^2 da

First, we integrate with respect to y:

∫[0, 1] 7x * x^2 * y^2 dy

Integrating this with respect to y, we get:

[7x * x^2 * (y^3)/3] evaluated from y = 0 to y = 1

= 7x * x^2 * (1^3)/3 - 7x * x^2 * (0^3)/3

= 7x * x^2/3

Now, we integrate this result with respect to x:

∫[1, 3] 7x * x^2/3 dx

Integrating this with respect to x, we get:

[7/12 * x^4] evaluated from x = 1 to x = 3

= 7/12 * (3^4) - 7/12 * (1^4)

= 7/12 * 81 - 7/12

= 567/12 - 7/12

= 560/12

= 140/3

Therefore, the value of the double integral is 140/3.

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Answer:

Bridget's first fish =f = 5 ounces

Bridget's dad first fish weighs 17 ounces

Step-by-step explanation:

Solution:

Bridget's fishes:

f ounces

2f ounces

3f+2 ounces

1/2f ounces

3/5f ounces

Total= f +2f + (3f+2) + 1/2f +3/5f

=3f + 3f + 2 + 5f+6f/10

=6f + 2 + 11f/10

=60f+11f/10 +2

=71/10f +2

Bridget's dad fishes

3f+2

4/5f

2f+4

1/2f

Total =(3f+2) + (2f+4) + 4/5f +1/2f

=3f+2+2f+4 + 8f+5f/10

=5f + 6 + 13/10f

= 50f+13f/10 + 6

=63/10f +6

Equate the total weight

71/10f +2=63/10f +6

Collect like terms

71/10f - 63/10f =6-2

71f-63f/10 = 4

8f/10=4

Cross product

8f=40

Divide both sides by 8

f=5

Bridget's first fish =f = 5 ounces

Bridget's dad first fish = 3f +2

=3(5)+2

=15+2

=17 ounces

Bridget's dad first fish weighs 17 ounces

Answer:

12 pieces

Step-by-step explanation:

There are four 25 cents in a dollar, as a dollar is 100 cents and 100 divided by 25 is four. So as 3 pieces cost 25 cents, multiply 3 by 4 which is 12.

12 pieces of gum would cause $1.00

Answer:

You can get 12 pieces of gum.

Step-by-step explanation:

3 pieces is 25, right? so now to make a dollar you can have four of 25 cents, so multiply, 3x4. You get 12. so you can buy 12 pieces of gum.

Answer:

D)

Step-by-step explanation:

Answer:

Option b: 2 21/50 is equivalent to 2.42

Answer:

Step-by-step explanation:

Let be cost price =Rs.100

Then mark price =Rs.120

∴ Selling price =90% of 120

=

100

120×90

​

=Rs.108

Profit = Selling price− Cost price

=Rs.(108−100)=Rs.8

Profit % =

100

8×100

​

=8%

The next logical number in the sequence is 50

To find the next logical number in the given sequence (2, 6, 14, 30), we need to observe the pattern or rule governing the sequence. Let's analyze the differences between consecutive terms:

6 - 2 = 4

14 - 6 = 8

30 - 14 = 16

By looking at the differences, we can see that they are increasing by 4 each time. Therefore, it appears that the sequence is based on adding the successive odd numbers: 1, 3, 5, 7, and so on.

Now, let's calculate the next difference:

16 + 4 = 20

To find the next number in the sequence, we add this difference to the last term:

30 + 20 = 50

Hence, the next logical number in the sequence is 50.

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Answer:

13/34

Step-by-step explanation:

subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!

Answer:

13/34

Step-by-step explanation:

34-21=13

13/34

The area under the standard normal curve corresponding to Z < 0.75 is 0.7734. This is obtained using standard normal distribution tables.

We are supposed to use the tables to find the probability of the given range. We look up the probability associated with Z = 0.7 and Z = 0.05 in the standard normal distribution table. The probability for the given range is obtained by subtracting the two probabilities from each other.

We look at the value of Z on the left column and the value in the first column and determine the intersection point. The value of the intersection point gives us the area under the curve to the left of the corresponding value of Z.

Here, Z < 0.75, so we look at the row for 0.7 and the column for 0.05. This intersection point gives us a probability of 0.2734. We write this as:

P(Z < 0.75) = 0.7734.

Therefore, the area under the standard normal curve corresponding to Z < 0.75 is 0.2734.

We find the probability associated with Z = 0.7 and Z = 0.05 from the tables and subtract the two probabilities from each other to get the probability of the given range. Thus, P(Z < 0.75) = 0.7734.

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

341.125

Step-by-step explanation:

8187/24

341.125

4 1/2 can be expressed as a decimal. It would be 4.5

Now, we are told that 4.5 is to 8 as x is to 24

We would set up the equations as shown below

4.5 = 8

x = 24

By cross multiplying, we would have

x * 8 = 24 * 4.5

8x = 108

Dividing both sides of the equation by 8, we have

8x/8 = 108/8

x = 13.5

x = 13 1/2

If H is a normal subgroup of G of prime index p then for all K < G either (i) K < H or (ii) G = HK and |K : K ∩ H|= p.

Consider H as a normal subgroup of G with index p, where p is a prime number.

Let K be an arbitrary subgroup of G.
Observe the double coset decomposition of K relative to H, which is the collection of double cosets of the form HaK, where a is an element of G.

The decomposition can be represented as:
G = ⨆ (HaK), where the union is over distinct double cosets.

Note that H(K ∩ H) is one of the double cosets in this decomposition.

Since H is normal in G, we have:
H(K ∩ H) = K(H ∩ K) = K ∩ H

Now, consider the index [K: K ∩ H].

By the Second Isomorphism Theorem, we know that:
[K : K ∩ H] = [KH : H]

Since H has prime index p in G, [KH: H] must be a divisor of p.

Thus, the possible values of [KH: H] are 1 or p.

If [KH: H] = 1, this implies that KH = H.

Since K is a subgroup of KH, we have K < H, which corresponds to case (i).

If [KH: H] = p, then we have:

|K: K ∩ H| = p

By the Second Isomorphism Theorem, this also implies that G = HK, which corresponds to case (ii).

Thus, we have shown that for all K < G, either (i) K < H or (ii) G = HK and |K: K ∩ H| = p.

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A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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Answer:

x answer: x = ( y + 134 ) / 18

y answer: y = 18x - 134

Step-by-step explanation:

y - 10 = 18( x - 8 )

y - 10 = 18x - 144

x answer:

y - 10 = 18x - 144

y + 134 = 18x

( y + 134 ) / 18 = x

y answer:

y - 10 = 18x - 144

y = 18x - 134