Find the value of k that would make the left side of each equation a perfect square trinomial. x²-k x+100=0 .

Answer:

Red: y=(x+6)^2-1

Blue: y=-(x+3)^2+1

Green: y=(x^2-1)

Orange: y=-(x-3)^2+1

Purple: y=(x-6)^2-1

Step-by-step explanation:

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The cash price of her purchase would be $5262.79

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

The Present value = C [1 - (1+i)^(-n)]/i

C = the amount of payment per period

i = interest rate

n=number of payments

In this problem we have;

C = $174.80

i = 12% per year compounded monthly

 = 12/(12 x 100)

 = 0.01

n = 3 x 12 = 36 months

Present Value = 174.80[1  - (1+0.01)^(-36)]/0.01

Cash price = $5262.79

Hence, the cash price of her purchase would be $5262.79

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Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

Answer:

$3584

Step-by-step explanation:

We need to first find the area of the courtyard. We know that Area = length * width, so:

16 * 16 = 256 meters

Now, multiply by $14 to find total cost:

$3584

Answer:

a-12

Step-by-step explanation:

hope it helps

Answer:

him by big yavo

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

√12 > √7

True

In this process, the electron and positron interact through a photon to create a muon-antimuon pair. The interaction responsible for this is the electroweak interaction, and parity is not conserved at higher s values.

The process of e+e− → μ+μ− is caused by electromagnetic interaction, and the parity is conserved in this type of interaction.

The following is the lowest order Feynman diagram of this process:In this process, the electron and positron interact through a photon to create a muon-antimuon pair.

The electron and positron are considered initial particles, while the muon and antimuon are considered final particles.

(The additional term proportional to cosθ that must be added to the right side of equation (1) if s is increased to values closer to mZ is due to the interference between the photon and the Z boson.

The interaction responsible for this is the electroweak interaction, and parity is not conserved at higher s values.

Therefore, the differential cross-section for e+e− → μ+μ− is dΩ/dσ = 4sα2 (1 + cos2θ) where s ≫ me, mμ and s ≪ mZ. The process is caused by the electromagnetic interaction and parity is conserved in this type of interaction. The Feynman diagram for this process is shown above. An additional term proportional to cosθ has to be added to the right side of equation (1) if s is increased to values closer to mZ due to the interference between the photon and the Z boson. The interaction responsible for this is the electroweak interaction, and parity is not conserved at higher s values.

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

0.75x=(total cost)

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is A(x) =0.75x .

So A(12) = 9, meaning 12 bagels will cost 9 dollars.

Step-by-step explanation:

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Have a good day

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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The expected rate of return on the common stock of CrisisGreat is 4.43%.

To calculate the expected rate of return on the stock of CrisisGreat, we need to use the formula:

Expected rate of return = (Probability of recession * Rate of return in recession) + (Probability of normal economy * Rate of return in normal economy) + (Probability of boom * Rate of return in boom)

Let's plug in the given values:

Therefore, the expected rate of return on the common stock of CrisisGreat is 4.43%.

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Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

Answer:

Step-by-step explanation:

  Sorry I am not sure, I accidentally clicked and I can’t exit

the average value of f(x) = 4x sec^2 x on the interval [0,pi/4] is 1/2

To calculate the average value of f(x) = 4x sec2 x on the interval [0,pi/4], we can use the following formula:
Average value = (1/b-a)∫baf(x)dx

Where a is the lower bound (0) and b is the upper bound (pi/4).

Therefore, the average value of f(x) = 4x sec2 x on the interval [0,pi/4] is:
Average value = (1/(pi/4 - 0))∫pi/404x sec2 xdx
Average value = (1/pi/4)∫pi/404x sec2 xdx
Average value = (1/pi/4)(2pi/4)

Average value = 1/2

the average value of f(x) = 4x sec^2 x on the interval [0,pi/4] is 1/2

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Answer:

58

Step-by-step explanation:

all triangles add up to 180 degress

180-64=116

because its an isosceles triangle divide by two

116/2=58

Answer:

more towards the vertical side, since it is going down vertically

Step-by-step explanation:

Answer:

Its is neither vertical or horizontal beacuse there are two very different intercepts.

Step-by-step explanation:

Answer:

307.6

Step-by-step explanation:

190+224.50= 384.5 - 20% = 307.6

Answer:

it should be 8 if not take your best guest hope this helps!!

Step-by-step explanation:

Answer:

v is the vertex I think so

Answer:

The vertex is V.

Step-by-step explanation:

Problem:

The point at which a graph hits the x-axis is known as :

Solution:

The zero of the function. This point is characterized by the coordinate

(x, y) = (0, y). Notice that at this point, the coordinate x is always zero.

Answer:

P= -m-3

I hope this helps!

The equation that can be used to find the cost of shipping boxes is: 3p + 11 = 34.70. By solving the equation, we get p = $7.23.

The problem is about finding the cost of shipping boxes. Ava purchased 3 flat-rate shipping boxes, and a book of stamps, spending a total of $34.70. The problem asks to find out how much the post office charged for each shipping box, given that the cost of a book of stamps is $11.

To find the cost of a single flat-rate shipping box, let's assume that the post office charged p dollars for each shipping box. Therefore, the cost of three shipping boxes will be 3p dollars.

Along with this, Ava also bought a book of stamps which cost her $11.

So, the total amount she spent can be written as the sum of the cost of the shipping boxes and the cost of the book of stamps. This is given by:

3p + 11 = 34.70

Solving for p, we get:

p = (34.70 - 11)/3p = $7.23 (approx)

Therefore, each shipping box costs $7.23.

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The 50 students are an example of a sample population

A sample is a subset of a population that is used to represent the entire population. In this case, the 50 students who received the questionnaire are a sample of the population of students on the university campus. The results of the questionnaire would be used to make inferences about the satisfaction of the entire student population with the financial aid office on campus. The importance of the sample lies in the fact that it allows researchers to make inferences about a larger population based on a smaller, more manageable group of individuals. This is done by selecting a sample that is representative of the population of interest.

By studying a sample, researchers can make predictions about the characteristics of the larger population, such as the percentage of students who are satisfied with the financial aid office on campus. This can be done with a high degree of accuracy if the sample is chosen and analyzed properly. Additionally, studying a sample can also be much more cost-effective and time-efficient than studying the entire population. However, it's important to keep in mind that the sample may not be perfectly representative of the population and it may introduce some errors, called sampling errors, in the inferences made about the population.

So, 50 students as an example of a population sample to fill out the questionnaire.

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The four transformations of a function are translation, reflection, stretching/shrinking, and rotation.

Function is a group of related statements that perform a specific task. It is a block of organized, reusable code which can be used to perform a single, related action. Functions help make code more reusable and efficient. It also reduces the complexity of a program by breaking it down into smaller and simpler parts.

Translation involves shifting the graph of a function along a given axis; reflection involves flipping the graph of a function about a given axis; stretching/shrinking involves changing the scale of a graph along a given axis; and rotation involves rotating the graph of a function about a given point. All of these transformations can be used to modify the graph of a function, allowing for a variety of different outputs.

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Step-by-step explanation:

you don't know the Pythagoras formula yet ?

this is something you need to remember for life. this you will encounter everywhere (not just in school) :

c² = a² + b²

in a right-angled triangle c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs of the triangle.

4.

the legs of this right-angled triangle are the pole and the ground distance to the cable fixture on the ground.

the cable itself is the Hypotenuse (as the right angle is the angle between the pole and the ground distance).

so,

cable² = 8² + 6² = 64 + 36 = 100

cable = sqrt(100) = 10 m

5.

here we have a right-angled triangle with the direct distance between the points being the Hypotenuse, and the x and y coordinate differences are the legs.

so, we have

distance² = (3 - -3)² + (0 - -1)² = 6² + 1² = 36 + 1 = 37

distance = sqrt(37)

please note that since we are squaring, the direction of the differences and their signs do not matter. the square will turn positive and negative distances into positive numbers.

Answer:

5x⁴

Step-by-step explanation:

10x⁸÷2x⁴=

5x⁴

Answer:

\(68\frac{1}{4}\) pounds

Step-by-step explanation:

The combined weight of 13 bags is 13 multiplied by the weight of each bag.

The weight of each bag is \(5\frac{1}{4}\) pounds. Therefore, the weight of 13 bags is:

\(5\frac{1}{4} * 13\\ \\= \frac{21}{4} * 13\\\)

\(= 68\frac{1}{4}\) pounds