A quart container of ice cream is to be made in the form of a cube. what should be the length of a side, in centimeters? (use the conversion 1 gallon = 3.786 liter.)

The number of nickels and dimes that Ariana has are 58 and 91

Linear Equation:

The polynomial equation with 1 degree representing an unknown quantity is known as a Linear equation. Here to represent the unknown quantity we will use variables like x, y, z .... etc.

From the given problem,

The amount that Ariana = $12.00

As we know 1 dollar = 100 cents

⇒ $12.00 = 12 × 100 = 1200 cents  

Total number of nickels and dimes = 149

Since we don't know the number of nickels and dimes we will represent them with variables x and y respectively.

The amount of x nickels coins

= x × 5 cents = 5x cents   [ ∵ nickels = 5 cents ]  

The amount of y dimes coins

= y × 10 cents = 10y cents   [ ∵ dimes = 10 cents ]  

From the above calculations the equation that can be formed

Total amount that Ariana is 5x + 10y = 1200 cents

=> x + 2y = 240 ----- Equation (1)  

Total number of coins is  x + y = 149 ----- Equation (2)    

Now solve (1) and (2) to find the number of each coin  

Do (1) - (2)

=> x + 2y - [ x + y ] = 240 - 149

=> x + 2y - x - y  = 91  

=> y  = 91      

Substitute y = 91 in Equation (2)      

(2) => x + 91 = 149

=> x = 58

The number of nickels and dimes that Ariana has are 58 and 91

Learn more about Linear Equation problems at

https://brainly.com/question/16141830

#SPJ4  

Answer:

4

Step-by-step explanation:

Answer:same 4 of the 6

Step-by-step explanation:

Answer:

  an = 5/2 +3/2(n -1)

Step-by-step explanation:

The common difference is ...

  4 -5/2 = 3/2

The general rule is ...

  an = a1 +d(n -1)

For a1 = 5/2 and d = 3/2, the rule for this sequence is ...

  an = 5/2 +3/2(n -1)

___

This can be simplified to ...

  an = 1 +3/2n

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

Learn more : https://brainly.com/question/25562438

Answer:okay I don’t know what is this but what do you need help with exactly?

Step-by-step explanation:

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

To know more about  multicollinearity visit:

https://brainly.in/question/7285022

#SPJ11

Therefore , the solution of the given problem of unitary method comes out to be  a 31 point difference out of 100 is the best estimate for the mean grade difference.

By employing what has been learned, utilising this global access, and combining all crucial elements from prior variable researchers who followed a certain methodology, the mission can be completed. The entity mentioned in the statements can thus either be further discovered or both crucial procedures will unquestionably overlook the expression if the appropriate claim outcome occurs. A recoverable deposit of Rs ($1.21) may be needed for fifty pens.

Here,

We can easily calculate the difference in mean grades between two groups by deducting the one-at-a-time group's average grade from the mixed practise group's average grade:

=> 83 - 52 = 31

Consequently, a 31 point difference out of 100 is the best estimate for the mean grade difference between the freshmen whom studied mixed problems and those who studied each learning objective separately.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

Answer:

b. g (x) = 9f (0)

Step-by-step explanation:

hope it help

==========================================================

Explanation:

Replace f(x) with y. This is valid because both represent outputs of a function. This means f(x) + 9 is the same as y+9, which means "move every point up 9 units".

For instance, the point (1,1) turns into (1,10) after moving it up 9 units. Here we added 9 to the y coordinate while keeping the x coordinate the same. You can write the translation rule as \((x,y) \to (x, y+9)\)

Answer:

-13x^2+4x-11

Step-by-step explanation:

-3x^2+5x-8+(-10x^2-x-3)=?

-3x^2+5x-8-10x^2-x-3=?

(combine like terms); -13x^2+4x-11

So, your answer is -13x^2+4x-11

Answer:

-13x^2+4x-11

Step-by-step explanation:

Answer:

Si, herpes puede ir a los labios

Step-by-step explanation:

The measure of the angle ABD for the given angle bisector is found as 40°.

For the given question;

BD is an angle bisector

Thus, both angles will be equal.

3x + 25 = 7x + 5

Solve the relation.

4x = 20

x = 5

The measure of angle ABD = 3x + 25

angle ABD = 3×5 + 25

angle ABD = 15 + 25 = 40

Thus, the measure of the angle  ABD for the given angle bisector is found as 40°.

To know more about the angle bisector, here

https://brainly.com/question/24334771

#SPJ13

Answer:

symmetric property

Step-by-step explanation:

Multiplication property would require multiplication

Subtraction property would require subtraction

Reflexive property  says x=x

The symmetric property  says if a=b then b=a

OD = DO

OF = FO

Answer:

56.25

Step-by-step explanation:

so basically you divide 180 by the denominator of the fraction which is 16 and multiply by the numerator, so 180 divided by 16 times 5 cool i guess

The z-transform of a sequence x(n) is: X(z) = 1 - 3z⁻⁴ + z⁻⁵z + 2z⁻² + z⁻³.

The z-transform is a mathematical transformation used to convert a discrete-time sequence, x(n), into a function of the complex variable z. In this case, we have the z-transform X(z) of a sequence x(n).

The given expression X(z) = 1 - 3z⁻⁴ + z⁻⁵z + 2z⁻² + z⁻³ represents the z-transform of x(n). Each term in the expression corresponds to a coefficient multiplied by a power of z⁻¹, where z⁻¹ represents the delay operator.

To obtain the original sequence x(n) from its z-transform, we can use the inverse z-transform. By applying the inverse z-transform to the given expression, we can determine the sequence x(n) in the time domain.

The inverse z-transform involves finding the residues of the z-transform function and evaluating the corresponding inverse transform formula. The result will provide the original sequence x(n) in terms of its time-domain values.

To know more about z-transform refer here:

https://brainly.com/question/1542972#

#SPJ11

Answer:

Question 6) Neither (Not an inverse variation)

Question 7) Inverse variation

Question 8) Inverse variation

Step-by-step explanation:

These are the two formulas we need to know prior to solving the question.

Direct variation: c times x

Inverse variation: c times 1/x --> c/x

- Here, c is the constant

6. y = x + 7

This is neither. It is not in the form of a direct, or inverse variation, so it does not belong in any category.

7. 14 = xy

This equation is an inverse variation.

xy = 14

y = 14/x

14 is the constant, and the format is the same as for an inverse variation.

8. x = -8/y

This equation is an inverse variation.

yx = -8

y = -8/x

-8 is the constant, and the format is the same as for an inverse variation.

So we can conclude that questions 7 and 8 is an inverse variations, while question 6 isn't.

General forms

Direct

Inverse

so

#6

Not inverse and direct also as 7 is present

#7

Yes

#8

Yes

To check whether the treatment group has a higher standard deviation for serum retinol concentration than the control group at the 0.025 level of significance, we can perform a two-sample F-test.

Let us assume that the population variances are equal. Null hypothesis: $H_0: \sigma_1^2=\sigma_2^2 $Alternative hypothesis: $H_1: \sigma_1^2 > \sigma_2^2$Level of significance, α = 0.025 The test statistic for the F-test can be calculated as given: F=(s₁²/s₂²) where s₁² and s₂² are the sample variances of the treatment and control groups, respectively. As the sample sizes are large, we can use the F-distribution with the following degrees of freedom (DF) to find the critical value: F(0.025, 62, 62) Using the above information,

let us carry out the F-test: Calculating the sample variances:

s₁² = 16

79² = 281.

88s₂² = 6.76²

= 45.70 F-test value:

F = s₁²/s₂² = 281.88/45.70

= 6.160 We have

n1 = n2

= 63, so

DF1 = n1 - 1

= 62 and

DF2 = n2 - 1

= 62 Degrees of freedom (DF) for the

F-test = (DF1, DF2)

= (62, 62) Critical value: From the F-distribution table,

F(0.025, 62, 62) = 2.324 Therefore, at the 0.025 level of significance, the critical value for the F-test is 2.324. As the calculated value of the F-test (F = 6.160) is greater than the critical value

(F = 2.324), we reject the null hypothesis. Thus, the treatment group has a higher standard deviation for serum retinol concentration than the control group at the 0.025 level of significance.

To know more about standard deviation visit :

https://brainly.com/question/29115611

#SPJ11

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

Learn more about vectors

brainly.com/question/29740341

#SPJ11

Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

To learn more about Regression and Correlation, refer :

https://brainly.com/question/16814950

#SPJ4

The two statements that, when combined, are equivalent to the biconditional "7t-6=10 if and only if 6u+10=-9" are:

1. If 6u+10=-9, then 7t-6=10
2. If 7t-6=10, then 6u+10=-9

These statements show the two possible implications of the biconditional statement. In the first statement, it states that if 6u+10=-9, then 7t-6=10. This means that if the left side of the equation is true, the right side must also be true. In the second statement, it states that if 7t-6=10, then 6u+10=-9. This means that if the left side of the equation is true, the right side must also be true.

Learn more about biconditional

https://brainly.com/question/8663998

#SPJ11

Answer:

Part A:  \(\frac{1}{2}\)

Part B: \(\frac{10}{9}\)

Step-by-step explanation:

Part A: What is the reciprocal of 2.

2 is just \(\frac{2}{1}\) in fraction terms. To find the reciprocal, you just have to flip it over. That would get to \(\frac{1}{2}\). Therefore, the reciprocal is \(\frac{1}{2}\).

Part B: What is the reciprocal of 9 over 10?

9 over 10 in numerical terms is just \(\frac{9}{10}\). o find the reciprocal, you just have to flip it over. That would get to \(\frac{10}{9}\). Therefore, the reciprocal is \(\frac{10}{9}\).

Hope this helped! If not, please let me know! <3

Answer:

10/29

Step-by-step explanation:

\(2\frac{9}{10}=\frac{29}{10}\)

Reciprocal of \(\frac{29}{10}= \frac{10}{29}\)

Answer:

$320

Step-by-step explanation:

1. 3x + 4x = 560 (since they are ratios, x would be the same amount)

2. 7x = 560

3. x = 80

This means that 3 and 4 should be multiplied by 80 to get the $ amount. The amounts are $240 (3*80) and $320 (4*80).

So, the larger amount if $320.

ray4918 here to help

4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

Learn more about coefficient here:

https://brainly.com/question/28550485

#SPJ1

The mean of a set of final scores from a recent outing is 50.77

Here,

A group of friends enjoys playing miniature golf together.

Here are a set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61  

We have to find the mean.

What is Mean?

The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Now,

Set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61

Then, Mean =  39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9

                   = 457/9

                   = 50.77

Hence,

The mean of a set of final scores from a recent outing is 50.77

Learn more about the mean visit:

https://brainly.com/question/1136789

#SPJ4

The effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).

Here,

In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, and the connections between them, called edges or links.

The function f(x) is translated to g(x) by subtracting 1 from the exponent of 3.

This means that g(x) is obtained by shifting f(x) one unit to the right on the x-axis.

The coefficient of 2 remains unchanged, which means that the overall scaling of the function remains the same.

Therefore, the effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).

In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.

To learn more about translated function visit,

brainly.com/question/1046778

#SPJ12

The quantities needed to make multiple loaves of bread can be solved for by multiplying each recipe used for a loaf of bread by number of loaves of bread

A loaf of bread

2 loaves of bread

multiply each ingredients by 2

3 loaves of bread

multiply each ingredients by 3

4 loaves of bread

multiply each ingredients by 4

Learn more about ratio and proportion:

https://brainly.com/question/1781657

#SPJ1