Kylee is going to make a pizza. The base of the pizza cost $4, pepperonis cost $0.13 cents each and she adds 8
mushrooms at $0.10 each. She spends a total of $6.10 on the pizza. Write an equation to model the number of
pepperonis she put on the pizza.

Answer: A

Step-by-step explanation:

Answer:

make it the same except the letter b

Step-by-step explanation:

Hyponatremia is associated with overhydration and dehydration. Hyponatremia is a condition characterized by low levels of sodium in the blood.

While options a and c (insufficient intake of dietary calcium and excessive intake of dietary sodium) may have an impact on overall health, they are not directly linked to hyponatremia. The correct associations for hyponatremia are overhydration (b) and dehydration (d).

Overhydration, or water intoxication, occurs when the body takes in more water than it can excrete. This dilutes the concentration of sodium in the blood, leading to hyponatremia. Overhydration can be caused by excessive fluid intake, particularly in cases of endurance sports or drinking large amounts of water without proper electrolyte balance.

On the other hand, dehydration can also contribute to hyponatremia. When the body loses more water than it takes in, the sodium levels in the blood become relatively higher, resulting in diluted sodium concentration. This can occur due to excessive sweating, vomiting, diarrhea, or certain medical conditions.

In both cases, the balance of fluids and electrolytes in the body is disrupted, leading to low sodium levels and the development of hyponatremia. It is important to maintain a healthy fluid intake, ensuring a proper balance of water and electrolytes, to prevent these conditions and maintain overall well-being.

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The energy diagrams of a mass in a spherical bowl can be analyzed to understand the potential energy distribution and the equilibrium points of the system.

In a spherical bowl, the gravitational potential energy is the dominant factor. As the mass moves within the bowl, its position relative to the center of the bowl determines its potential energy. The height of the mass above the bottom of the bowl corresponds to the potential energy at that point.

When analyzing the energy diagrams, several key points can be observed:

Lowest Point: The lowest point in the bowl represents the stable equilibrium position. At this point, the potential energy is at its minimum, and any slight displacement will cause the mass to move back towards the equilibrium position.

Highest Point: The highest point in the bowl represents the unstable equilibrium position. At this point, the potential energy is at its maximum, and any displacement will cause the mass to move away from the equilibrium position.

Potential Energy Curve: The energy diagram will have a curved shape, where the potential energy increases as the mass moves away from the equilibrium position. The shape of the curve will depend on the specific shape of the bowl.

Equilibrium Points: Apart from the lowest point, there may be other equilibrium points in the bowl where the potential energy is locally minimum. These points represent positions where the mass can temporarily rest without rolling down further, but they are not as stable as the lowest point.

Overall, analyzing the energy diagrams of a mass in a spherical bowl allows us to understand the equilibrium positions, potential energy distribution, and stability of the system. It provides insights into the behavior of the mass and how it will respond to external forces or disturbances.

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Answer:

\(n \leq \frac{21k - W}{3}\)

Step-by-step explanation:

W ≤ 21k-3n

⇒ W + 3n ≤ 21k

⇒ 3n ≤ 21k - W

⇒ \(n \leq \frac{21k - W}{3}\)

A(n) experiment can be used to establish a cause and effect relationship between the explanatory and response variables.

In an experiment, researchers actively manipulate the explanatory variable (also known as the independent variable) to observe its effect on the response variable (also known as the dependent variable). By controlling and manipulating the conditions of the experiment, researchers can establish a cause and effect relationship between the variables.

The key characteristic of an experiment is the ability to assign participants or subjects randomly to different treatment groups. This random assignment helps ensure that any observed effects on the response variable are due to the manipulation of the explanatory variable and not due to other confounding factors.

By conducting experiments, researchers can gather strong evidence to support or refute hypotheses about causal relationships. The experimental design allows for rigorous control over potential sources of bias and provides a foundation for drawing conclusions about cause and effect.

It is important to note that while experiments are powerful in establishing causality, they may not always be feasible or ethical for certain research questions. In such cases, other study designs, such as observational studies, can provide valuable insights, but establishing causal relationships becomes more challenging.

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Answer:

Sure! The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since the length of the rectangle is given as (5x²y) and the width is given as (3x²y), we can calculate the perimeter as follows:

Perimeter = 2 * Length + 2 * Width = 2 * (5x²y) + 2 * (3x²y) = 10x²y + 6x²y = 16x²y

So, the perimeter of this rectangle is 16x²y.

Step-by-step explanation:

Answer: -6

Step-by-step explanation: To determine the largest integer value of x in the solution of the inequality 2x+6<-4, we first need to isolate x on one side of the inequality. We can do this by subtracting 6 from both sides of the inequality, which gives us 2x<-10. Next, we can divide both sides of the inequality by 2, which gives us x<-5. Since the inequality has a strict inequality symbol, we can conclude that the largest integer value of x that satisfies the inequality is -6.

Answer:

the cords for a should be (-3,0) and the cords for b should be (7,15) sorry if im incorrect

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Answer:

Step-by-step explanation:

a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23

so  a= -2 ,b= -23

b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=

2+V69/9=2+V23/3

c=2, d= 23/3

a) The value of a and b from the expression are -2 and -23 respectively.

b) The value of c and d are 2 and 23/3 respectively'

a) Given the quadratic function \(3x^2-12x-11\), writing the equation in the form \(3(x+a)^2+b\) using the completing the square method.

\(3x^2-12x-11=0\\x^2-\frac{12}{3}x-\frac{11}{3} =0\\x^2-4x-\frac{11}{3} =0\\(x^2-4x+4)-4-\frac{11}{3}=0\\(x-2)^2-\frac{23}{3} =0\\3(x-2)^2-23=0\)

Compare the result with \(3(x+a)^2+b\);

a = -2

b = -23

Hence the value of a and b from the expression are -2 and -23 respectively.

b) Given the quadratic equation \(3x^2-12x-11=0\) using the general formula to factorize the equation;

\(x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\x=\frac{-(-12)\pm \sqrt{(-12)^2-4(3)(-11)} }{2(3)} \\x=\frac{12\pm \sqrt{144+132} }{6} \\x=\frac{12\pm\sqrt{276} }{6} \\x=2\pm\sqrt{\frac{276}{36} }\\x=2\pm\sqrt{\frac{23}{3} } }\)

Compared with c ± √d, the value of c and d are 2 and 23/3 respectively.

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The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

71.43%

Step-by-step explanation:

2500/35 = 71.43

Aranibar's savings went up by 71.43%

Answer:

You have to place the numbers given or your left in the formula given. So for example: y= 2*(-2)^2

that's: y=2*4, so: y=8

1) y=8

2) y= 2*(-1)^2. y=2

3) y= 2*(0)^2. y=0

4) y= 2*(1)^2. y=2

5) y= 2*(2)^2. y=8

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

We have to determine the number of miles ran at each practice. this figure would then be multiplied by 13 track practice

Miles run at each track pratice

27/9 = 3 miles

3 miles x 13 = 39 miles

The cost of each company would be the same for 6 hours of landscaping.

Finding the intersection of the two lines, which reflects the number of hours where the costs of the two companies are equal, requires setting the two equations equal to one another. This is because the y-values of the two equations—i.e., the costs—are identical at that moment.

Given that, Company A charges $50 per hour and a $150 equipment fee.

The equation is:

A = 50t + 150

For company B:

B = 25t + 300

To graph the function find different values of A and B by substituting different values of t.

The two equations would make the same cost at the intersection of the two equations on the graph.

Or, through the equation we can calculate the same cost as:

50t + 150 = 25t + 300

25t = 150

t = 6

The two lines intersect at point t = 6.

Hence, the cost of each company would be the same for 6 hours of landscaping.

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Answer: 173

Step-by-step explanation:

Jan 111

Feb 173

Mar 111

Apr 173

May 111

Jun 173

Jul 111

Aug 173

Sep 111

Oct 173

Nov 111

Dec 173

Average = 142

Step-by-step explanation:

We have x - 20 < 7, so

x < 27.

Answer:A

Step-by-step explanation:

To determine the three angles in a triangle, we can use the Law of Cosines or the Law of Sines. However, since we are not given any side lengths, we will use the dot product formula to find the angles between the sides.

Then, we can compute the magnitudes of these vectors using the Pythagorean theorem:

|AB| = sqrt((Bx - Ax)^2 + (By - Ay)^2)
|AC| = sqrt((Cx - Ax)^2 + (Cy - Ay)^2)
|BC| = sqrt((Cx - Bx)^2 + (Cy - By)^2)

where (Ax, Ay), (Bx, By), and (Cx, Cy) are the coordinates of points A, B, and C, respectively.

Finally, we can use the dot product formula above to compute the cosines of angles A, B, and C, and then take the inverse cosine to find the angles in radians:

A = acos((AB · AC) / (|AB| · |AC|))
B = acos((AB · BC) / (|AB| · |BC|))
C = acos((AC · BC) / (|AC| · |BC|))

where acos denotes the inverse cosine function.

Therefore, we can determine all three angles in the triangle (in radians) using the above formulae.
It seems that the three points of the triangle were not provided in your question. To help you determine the angles of the triangle, please provide the coordinates of the three points (A, B, and C).

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The area of the triangle ABC is  37. 5 cm²

The formula for calculating the area of a triangle is expressed with the formula;

A = 1/2bh

Given that the parameters are;

Using the Pythagorean theorem, let's determine the height

9² - 5² = h²

find the squares

h² = 81 - 25

h² = 56

h = √56 = 7. 5

Now, substitute the values

Area = 1/2 × 7.5 × 10

Multiply the values

Area = 1/2 × 75

Area = 37. 5 cm²

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Answer:

(-3/2, 5)

Step-by-step explanation:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-4 + 1) / 2 , (6 + 4) / 2

-3/2 , 10/2

(-3/2, 5)

Answer:

Step-by-step explanation:

Since there are 6 faces in a cube and each face is 7x7=49 sq units, the surface area is 49x6=294 sq units

Answer:

Step-by-step explanation:

\(F=I(1.75^t)\\ \\ F=285(1.75)^{y-2008}\\ \\ F=285(1.75)^{2017-2008}\\ \\ F=285(1.75)^9\\ \\ F=43871.99\\ \\ F\approx 43872\)

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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For ΔDOG to become ΔD'O'G', it is rotated 180° about the origin and then translated 5 units left.

What is translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

The coordinate points for the ΔDOG is -

D(-7,-7) , O(-8,2), and G(2,1)

The coordinate points for the ΔD'O'G' is -

D'(2,7) , O'(3,-2), and G'(-7,-1)

First the Δ DOG is rotated 180° about the origin.

When the triangle is rotated 180° about the origin, the formula becomes (x,y) → (-x,-y)

The new coordinate points are -

D(-7,-7) → [-(-7),-(-7)] → d(7,7)

O(-8,2) → [-(-8),-(2)] → o(8,-2)

G(2,1) → [-(2),-(1)] → g(-2,-1)

Now, the new Δdog is translated 5 units left.

When the triangle is translated 5 units left, the formula becomes (x,y) → (-x - 5,y)

d(7,7) → [(7 - 5),(7)] → D'(2,7)

o(8,-2) → [(8 - 5),(-2)] → O'(3,-2)

g(-2,-1) → [(-2 - 5),(-1)] → G'(-7,-1)

Therefore, the original triangle is first rotated and then translated.

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