Solve for y.
Answer choices-
A. 115
B. 108
C. 90
D. 130

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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The standard form of the given exponent is 0.00000094359.

What are Exponents?

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3⁴, for instance, indicates that we are multiplying 3 by four. 3 × 3 × 3 × 3 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.

\(9.4359 \times 10^{-7}\)

Use  \(10^{-7} = 1/10^7\)  Because a⁻ᵇ = 1/aᵇ

= 9.4359  ×1/10⁷

= ( 9.4359)/10⁷

= ( 9.4359)/10000000

= 0.00000094359

The standard form of the given exponent is 0.00000094359

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Answer:

A. (2,-6)

Step-by-step explanation:

(×-2)²+(y+6)²=10

Equating it with

(×-h)²+(y -k)²=10

h = 2 & k = - 6

(h, k) = (2, - 6)

The null and alternative hypothesis is H₀ : p = 0.30 and Hₐ : p ≠ 0.30 respectively.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.

Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance.

One of the ideas put out in the hypothesis test is the alternate hypothesis.

Mild depression affects about 30% of adults in the 50 to 60 age range.

500 people between the ages of 50 and 60 are chosen at random by the researcher, and they are instructed to take a vitamin D pill for six months.

The psychologist classifies 158 people as depressed.

The null hypothesis will be:

H₀ : p = 0.30 and;

The alternative hypothesis is,

Hₐ : p ≠ 0.30

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Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

Let us use the information above to solve the question

∵ f(x) = \(1.5^{x}\)

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

∴ f(x) is not a quadratic function

∵ g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

The system of first order differential equation are,

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

To describe the behavior of x1, x2, and x3 (where xi denotes the ounces of salt in each tank) we can use a system of first order differential equations. Let's denote the rate of change of salt in each tank as dx1/dt, dx2/dt, and dx3/dt respectively.

Then, we can write the system of differential equations as:

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

where k1, k2, k3, and k4 are constants that represent the rates of salt transfer between the tanks.

This system of first order differential equations describes how the ounces of salt in each tank change over time.

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The possible observed values of a discrete random variable can be listed in a countable collection. A random variable is a measurement to be taken in a probability experiment.

An observed value of a random variable is the measurement that has been taken. A discrete random variable is a random variable in which there is a countable collection of possible observed values. That is, the discrete random variable can only take on specific values within a given range, and the probability associated with each value can be calculated. This countable collection of possible observed values is finite or countably infinite, and the probabilities sum up to 1.

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The unit of measure for roll batt insulation is usually in square feet. On the estimate, you should note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees.

Roll batt insulation is a type of insulation that is often used to insulate walls, attics, and other areas of the home. The unit of measure for roll batt insulation is usually in square feet. When getting an estimate for the cost of the insulation, it is important to note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees that may be involved. This type of information should be noted on the estimate in order to ensure that you are getting the most accurate estimate for the insulation that you need.

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Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

\(\frac{7}{12} + x = \frac{4}{15}\)

Subtract 7/12 from both sides.

\(x = \frac{4}{15} - \frac{7}{12}\)

We need to make the denominators of the fractions the same.

\(\frac{4}{15} = \frac{16}{60}\)

\(\frac{7}{12} = \frac{35}{60}\)

So,

\(x = \frac{16}{60} - \frac{35}{60} = - \frac{19}{60}\)

If we solve  4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0

We have the following simultaneous equations:

4x-3y=3.....................(i)

-8x+6y=-6..................(ii)

We solve using substitution:

Make x the subject of formula in equation(i):

4x=3+3y

x=(3+3y)/4

Now, replace the value of x in equation(ii)

-8x+6y=-6, and x=(3+3y)/4

-8((3+3y)/4)+6y=-6

-2(3+3y)+6y=-6

-6-6y+6y=-6

y=0

Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:

4x-3y=3, but y=0

4x-3(0)=3

4x=3

x=3/4

Hence, x=3/4, y=0

The question was incomplete, the complete question is given below:

solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6

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Answer:

its 90 bro whenever you see that square on a corner its always 90 degrees

Step-by-step explanation:

Answer:

The answer is 90 degrees.

Whenever you see a square in the corner, it means it's 90 degrees.

It's also red, meaning that that is what you're trying to find.

Answer:

x+6>76

Step-by-step explanation:

sum is adding

greater than is >

Answer:

The surface area is 200

Step-by-step explanation:

For the triangles, the width is 6 and the height is 4; so you would multiply 1/2·w·h (1/2·6·4) = 12

For the two side rectangles, the width is 5 and the height is 8; so you would multiply w·h (5·8) = 40

And for the middle rectangle, the width is 6 and the height is 8; so you would multiply w·h (6·8) = 48

Since there are two triangles you would double the 12, same for the rectangles.

And then you get 200; bam. Sorry, I'm sleep-deprived

Answer:

A.  Circle.

     \((x+15)^2+(y-0)^2=13^2\)

B.  Parabola.

     \((x-15)^2=-16(y-20)\)

C.  Maximum height of Tunnel A = 13 ft.

     Maximum height of Tunnel B = 20 ft.

     The truck can only pass through Tunnel B without damage.

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3cm}\underline{General equation for any conic section}\\\\$Ax^2+Bxy+Cy^2+Dx+Ey+F = 0$\\\\where $A, B, C, D, E, F$ are constants.\\\end{minipage}}\)

Circle:  A and C are non-zero and equal, and have the same sign.

Ellipse:  A and C are non-zero and unequal, and have the same sign.

Parabola:  A or C is zero.

Hyperbola:  A and C are non-zero and have different signs.

Tunnel A

\(x^2+y^2+30x+56=0\)

As the coefficients of x² and y² are non-zero, equal and have the same sign, the conic section is a circle.

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Rewrite the given equation for Tunnel A in the standard form of the equation of a circle:

\(\implies x^2+y^2+30x+56=0\)

\(\implies x^2+30x+y^2-56\)

\(\implies x^2+30x+\left(\dfrac{30}{2}\right)^2+y^2=-56+\left(\dfrac{30}{2}\right)^2\)

\(\implies x^2+30x+225+y^2=-56+225\)

\(\implies (x+15)^2+(y-0)^2=169\)

\(\implies (x+15)^2+(y-0)^2=13^2\)

Therefore, the center of the circle is (-15, 0) and the radius is 13.

Tunnel B

\(x^2-30x+16y-95=0\)

There is no term in y² so the coefficient of y² is zero.  Therefore, the conic section is a parabola.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a parabola}\\(with a vertical axis of symmetry)\\\\$(x-h)^2=4p(y-k)$\\\\where:\\ \phantom{ww}$\bullet$ $p\neq 0$. \\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex.\\\end{minipage}}\)

Rewrite the given equation for Tunnel B in the standard form a parabola:

\(\implies x^2-30x+16y-95=0\)

\(\implies x^2-30x=-16y+95\)

\(\implies x^2-30x+\left(\dfrac{30}{2}\right)^2=-16y+95+\left(\dfrac{30}{2}\right)^2\)

\(\implies x^2-30x+225=-16y+95+225\)

\(\implies (x-15)^2=-16(y-20)\)

Therefore, the vertex is (15, 20).

Maximum height of Tunnel A

The maximum point of a circle is the sum of the y-value of its center and its radius:

Maximum height of Tunnel B

The maximum point of a downwards opening parabola is the y-value of its vertex:

As the truck is 13.5 feet high, it cannot pass through Tunnel A since the maximum height of Tunnel A is 13 feet.

The maximum height of Tunnel B is certainly adequate for the truck to pass through.  However, to determine if the truck can pass through Tunnel B safely, we also need to find the width of the tunnel when its height is 13.5 feet.  To do this, find the x-values of the parabola when y = 13.5.  If the difference in x-values is 8 or more, then the truck can pass through safely.

Substitute y = 13.5 into the equation for Tunnel B and solve for x:

\(\implies (x-15)^2=-16(13.5-20)\)

\(\implies (x-15)^2=-16(-6.5)\)

\(\implies (x-15)^2=104\)

\(\implies \sqrt{(x-15)^2}=\sqrt{104}\)

\(\implies x-15=\pm\sqrt{104}\)

\(\implies x=15\pm\sqrt{104}\)

Now find the difference between the two found values of x:

\(\implies (15+\sqrt{104})-(15-\sqrt{104})\)

\(\implies 15+\sqrt{104}-15+\sqrt{104}\)

\(\implies 2\sqrt{104}\)

\(\implies 20.39607...\)

Therefore, as the width of Tunnel B is 20.4 ft when its height is 13.5 ft, the 8 ft wide truck can easily pass through without damage since 20.4 ft is greater than the width of the truck.

The box requires a minimum of 4032 square inches of material.

Let's assume that the square base of the box has side length 'x', and the height of the box is 'h'. Then the volume of the box is

V = x^2 × h = 6912

We need to find the dimensions of the box that require the least amount of material. This means we need to minimize the surface area of the box. The surface area of the box is given by

S = x^2 + 4xh

We can solve for 'h' in terms of 'x' using the volume equation

h = 6912 / x^2

Substituting this expression for 'h' into the surface area equation, we get

S = x^2 + 4x(6912/x^2)

Simplifying and taking the derivative of 'S' with respect to 'x', we get

dS/dx = 2x - 27744/x^3

Setting this derivative equal to zero to find the critical points

2x - 27744/x^3 = 0

Multiplying both sides by x^3 and solving for 'x', we get

x = (27744/2)^(1/4) = 18

To confirm that this is a minimum, we need to check the second derivative of 'S' with respect to 'x'

d^2S/dx^2 = 2 + 83208/x^4

At x = 18, we have

d^2S/dx^2 = 2 + 83208/18^4 > 0

Therefore, the critical point at x = 18 corresponds to a minimum surface area.

So the dimensions of the box with the least amount of material are

The side length of the base is 18 inches, and

The height of the box is h = 6912 / 18^2 = 32 inches.

The minimum amount of material required is the surface area of the box, which is

S = 18^2 + 4(18)(32) = 1728 + 2304 = 4032 in^2.

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Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

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Answer:

65%

Step-by-step explanation:

26/40 x 100= 65%

hope this helps!

Answer: D. 6 cm

Step-by-step explanation:

V = 4/3πr^3

r = (3 V/4π)^1/3 = (3* 900/4*π)^1/3 = 5.98942

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:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

Answer:

on the same dot but on the left sid

Step-by-step explanation:

Noah will need a tether of 55 inches to secure it to the ground using Pythagorean theorem.

Let's say the side length of the square rain cover is x inches. Then, the diagonal length of the rain cover (the hypotenuse of the right triangle formed by the rain cover and the ground) is x√2 inches. To secure the rain cover to the ground with a tether, we need a right triangle with legs that are the same length as the sides of the rain cover and a hypotenuse that is 55 inches long.

Using the Pythagorean theorem, we can solve for x:

\(x^{2}\) + \(x^{2}\) = \(55^{2}\)

2\(x^{2}\) = 3025

\(x^{2}\) = 1512.5

x ≈ 38.94

So, if the rain cover is a square with side length of approximately 38.94 inches, Noah will need a tether of 55 inches to secure it to the ground.

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Number of ways in which 3 positions can be filled are 2730.

What is permutation and combinations?

The number of ways in which objects from a set may be selected, generally without replacements, to form subsets. This selection of subset is called permutation when order of selection is a factor.

If n things taken r at a time and n!  = n × (n-1) × (n-2) × (n-3)..........3 × 2 × 1

⇒Permutation,

P(n,r)=n!/(n-r)!

Now it is given that number of candidates, n = 15

and number of position, r = 3

Hence number of ways positions can be filled-

P(n,r) = 15!/(15-3)!

P(15,3) = 15!/12!

P(15,3) = (15×14×13)12!/12!

P(15,3)=(15×14×13)

P(15,3)=2730

∴ Number of ways in which 3 positions can be filled are 2730.

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Answer:

x-4

Step-by-step explanation:

A negative base raised to an even power equals a positive.

So you're left with sqrt x-4 ^2

Then reduce the index of the radical and the exponent with 2

x-4

Hope this helps

The correct expression will be ( x- 4 ). So option B is right.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as:-

E = ( - √(x-4))²

The product of two minuses is positive and the product of the same square root numbers will be the number so the equation will become.

E = -√(x-4) x -√(x-4)

E = x - 4

Therefore the correct expression will be ( x- 4 ). So option B is right.

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Step-by-step explanation:

I am not sure I can read the original expression right, the picture is too blurry for the small digits.

is it 3^(5/5) ?

or rather 3^(5/6) ?

in any case, you should know that a number written like this always has the structure

a^(b/c)

so,

a = 3

b = 5 (or whatever is the numerator or top of the fraction)

c = 5 (or whatever is the denominator or bottom of the fraction).

the denominator of a fraction in an exponent gives us the grade of root to be taken.

the numerator gives us the power of the base number.

and if the exponent is negative it would mean that the whole thing is a 1/... fraction.

like 3^-2 means 1/3².

Answer: 4

Step-by-step explanation: