Which package has the better unit price per bottle. 48- pack of 8- ounce bottle or 28- pack of 10- ounce per bottle

Answer:

Yes, it would be 225%.

Step-by-step explanation:

If 20/20= 100% you can evenly take out 200% because there is 45/20.

That leaves you with the 5/20.

5/20= 25%.

If we add those two percentages 200% + 25%= 225%.

I hope that made sense lol, have a great day!

Answer:

3,0

for steps

Step-by-step explanation:

math

way

Answer:

C.

Step-by-step explanation:

Answer A and D are definitely incorrect.  Hope this helps Zoey. #Zoeyiscute:)

The number 42 has 4 primitive roots.

Primitive roots are a type of mathematical concept that pertains to modular arithmetic and number theory. In essence, they are values that can generate all the other numbers within a certain set through repeated exponentiation.

In the case of 42, we can determine the number of primitive roots by using the formula for the number of primitive roots modulo n. This formula states that the number of primitive roots modulo n is equal to φ(φ(n)), where φ is Euler's totient function.

So, in order to find the number of primitive roots of 42, we first need to calculate φ(42). Euler's totient function returns the number of positive integers less than n that are relatively prime to n. Since 42 is an even number, it can be easily determined that

=> φ(42) = φ(2 * 3 * 7)

=> (1 - 1/2) * (1 - 1/3) * (1 - 1/7) * 42 = 12.

Next, we need to find φ(12). Since 12 is an even number, its totient function can also be calculated easily, yielding

=> φ(12) = φ(2^2 * 3)

=> (1 - 1/2) * (1 - 1/3) * 4 = 4.

Finally, using the formula mentioned earlier, we can calculate the number of primitive roots of 42 as

=> φ(φ(42)) = φ(12) = 4.

So, to summarize, 42 has 4 primitive roots.

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Answer:

x-1=3

x=3+1

x=4

There are 43 small dogs signed up in the competition

Represent the small dogs with x and the large dogs with y.

So, we have the following equations

x + y = 50

x = 36 + y

Make y the subject in x = 36 + y

y = x - 36

Substitute y = x - 36 in x + y = 50

x + x - 36 = 50

Evaluate the like terms

2x = 86

Divide both sides by 2

x = 43

Hence, there are 43 small dogs in the competition

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Answer:

There are 3 intervals as following:

x ≤ 1

1 ≤ x ≤3

x ≥ 3

Combining the all, we get:

The parent function of a parabola is y = x².

A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.

The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.

Its graph passes through the origin (0,0) and lies in first and second quadrant.

One or more parabolas can be easily obtained by transforming the parent function of the parabola.

Therefore, the parent function of parabola is given by y = x².

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Answer:9,378,727,447,079.929‬

Step-by-step explanation:

Answer:

9.37414075 13 squared digit I don’t remember what it is called for that number so yea

Step-by-step explanation:

8011542/84 is 94257.43529 (already added 4) and 94257.43529 is about 9.37414075 13 squared digit I don’t remember what it is called for that number but that is the answer

To the nearest year, it will take 17.2 years for the population to reach 15300.

We can use the formula for exponential growth to solve this problem:

\(A = P(1 + r)^t\)

where A is the final population, P is the initial population, r is the annual growth rate as a decimal, and t is the number of years.

We can plug in the given values:

\(15300 = 10000(1 + 0.025)^t\)

Dividing both sides by 10000:

\(1.53 = 1.025^t\)

Taking the natural logarithm of both sides:

\(ln(1.53) = ln(1.025^t)\)

Using the property of logarithms that ln(a^b) = b ln(a):

ln(1.53) = t ln(1.025)

Dividing both sides by ln(1.025):

t = ln(1.53) / ln(1.025)

Using a calculator:

t ≈ 17.2

Therefore, it will take about 17.2 years for the population to reach 15300.

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The zeros of the function include the following: A. 2 and -3.

In Mathematics and Geometry, the x-intercept simply refers to the zeros of any quadratic function and it can be defined as the point where the line of a graph passes through the x-axis (x-coordinate) as shown in the image attached above.

Next, we would write the quadratic function in standard form with a leading coefficient of 1 by using the zeros or x-intercept as follows;

f(x) = (x - (-3))(x - 2)

f(x) = (x + 3)(x - 2)

f(x) = x² + 3x - 2x - 6

f(x) = x² + x - 6

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Complete Question:

What are the zeros of the following function?

a) 2 and -3

b) 2 and 3

c) 3 only

d) -3,2 and 3

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Since the triangular prism is regular, the base is an equilateral triangle with side length 24, and the height of the prism is 4, we can find the values needed to calculate the lateral area, surface area, and volume.

To find the lateral area, surface area, and volume of a regular triangular prism, we use the following formulas:

Lateral area = perimeter of base x height

Surface area = (2 x area of base) + (perimeter of base x height)

Volume = area of base x height

First, we need to find the perimeter and area of the base triangle:

Perimeter of base = 3 x side length = 3 x 24 = 72

Area of base = (1/2) x base x height = (1/2) x 24 x 24 x sqrt(3)/2 = 144sqrt(3)

Next, we can use these values to calculate the lateral area, surface area, and volume:

Lateral area = perimeter of base x height = 72 x 4 = 288

Surface area = (2 x area of base) + (perimeter of base x height) = (2 x 144sqrt(3)) + (72 x 4) = 288sqrt(3) + 288

Volume = area of base x height = 144sqrt(3) x 4 = 576sqrt(3)

Therefore, the lateral area of the regular triangular prism is 288 square units, the surface area is 288sqrt(3) + 288 square units, and the volume is 576sqrt(3) cubic units.

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Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

Answer:

A because it's self explanatory.

The basic approach to solve this problem is to first sort array and then traverse through all the the elements and check for missing value and repeating value.

Approach:

c++ implementation

#include <bits/stdc++.h>

using namespace std;

void printTwoElements(int arr[], int size)

{

   int i;

   cout << "The repeating element is ";

   for (i = 0; i < size; i++) {

       if (arr[abs(arr[i]) - 1] > 0)

           arr[abs(arr[i]) - 1] = -arr[abs(arr[i]) - 1];

       else

           cout << abs(arr[i]) << "\n";

   }

   cout << "and the missing element is ";

   for (i = 0; i < size; i++) {

       if (arr[i] > 0)

           cout << (i + 1);

   }

}

int main()

{

   int arr[] = { 8, 3, 4, 5, 5, 6, 1 };

   int n = sizeof(arr) / sizeof(arr[0]);

   printTwoElements(arr, n);

}

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To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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Answer:

89°C

Step-by-step explanation:

I think it is just a case of subtraction. Remove the °C and just treat it as 85 - -4

Answer:

89°

Step-by-step explanation:

85° - (-4°) = 89°

If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

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The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.(Check the graph attached)

What is negative correlation?

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The triangles ΔRST and MNL are congruent by SAS postulates.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔRST and MNL, then we have

RS = MN

∠S = ∠N

ST = LN

The triangles ΔRST and MNL are congruent by SAS postulates.

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The change in equilibrium real GDP is B220.

To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:

Y = AE = C + I + G + NX

Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:

C = 80 + (9/10)Y

DI = 1800

G = 1600

TR = 10

T = (1/3)Y

Substituting the values into the equation:

Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y

Simplifying the equation:

Y = 3490 + (5/6)Y

Multiplying through by 6 to remove the fraction:

6Y = 6(3490) + 5Y

6Y = 20940 + 5Y

Y = 20940

The initial equilibrium real GDP is 20940.

Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):

Y' = Y + ΔI

Substituting the values:

Y' = 20940 + B220

Calculating the change in equilibrium real GDP:

Change in Y = Y' - Y

Change in Y = (20940 + B220) - 20940

Change in Y = B220

The change in equilibrium real GDP is B220.

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Answer:

ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too

Step-by-step explanation:

Answer:

0.1 mole per liter

Step-by-step explanation:

i got it right

The correct alternative hypothesis is H1: pL> pH.

We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.

Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.

a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:

H1: PL > pH

This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.

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Answer:

is there a graph or any other options to go with this?

Step-by-step explanation:

Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

Solution:

\(\dfrac{\left[\left(\sin ^{2} A+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]\right.}{\left[\left(1-\cos ^{2} A\right)-(1-\cos A)^{2}\right]}\)

\(\dfrac{\left[\left(1-\cos ^{2} A\right)+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]}{\left[(1-\cos A)(1+\cos A)-(1-\cos A)^{2}\right]} \)

\(\dfrac{(1-\cos A)[1+\cos A+2 \sin A+1-\cos A]}{[1-\cos A][1+\cos A-1+\cos A]} \)

\(\dfrac{[2+2 \sin A]}{[2 \times \cos A]}\)

\(\dfrac{2(1+\sin A)}{2 \times \cos A}\)

\(\dfrac{1+\cos A}{\sin A} \)

Hence Proved.