If it is a polynomial, name the polynomial:
2/3x^4 + 7
A) Binomial
B
Monomial
C
Trinomial
D
Not a polynomial

Answer:

2

Step-by-step explanation:

$ 1.55 + $1.65 = $3.11

the budget is $7.95

$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2

The length and width of the screen is 9.71 inch and 12.71 inch.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Area of triangle = Length * Width

Let L be the length and W be the width of the rectangle.

Now it is given that,

Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.

⇒ L + 3 = W  

Therefore area is given as,

A = L * W

Put the value of W we get,

A = L * (L + 3)

Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2

Length = 2L

Width = W - 1

Thus area becomes,

A' = 2L(W - 1)

Now, the area would be increased by 104 in^2

A' = A + 104

Putting the value of A in A' we get,

A' = L * (L + 3) + 104

Now putting the value of A' we get,

2L(W - 1) = L * (L + 3) + 104

Expanding we get,

2LW - 2L = L^2 + 3L + 104

Since L + 3 = W  

Thus, putting W in above we get,

2L(L + 3) - 2L = L^2 + 3L + 104

Expanding the brackets we get,

2L^2 + 6L - 2L = L^2 + 3L + 104

Solving we get,

2L^2 + 4L = L^2 + 3L + 104

Taking all the terms together we get,

2L^2 + 4L - L^2 - 3L - 104 = 0

Solving alike terms we get,

L^2 + L - 104 = 0

Solving the above equation we get,

L = 9.71 inch, -10.71 inch

Since, Length cannot be negative

Thus,

L = 9.71 inch

Put the value of L in W we get,

9.71 + 3 = W  

⇒ W = 12.71 inch

Thus the required value of length and width is,

Length = 9.71 inch

Width = 12.71 inch

Thus, the length and width of the screen is 9.71 inch and 12.71 inch.

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Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

The answer is 2√10

Step-by-step explanation:

Hyp²=opp²+adj²

let hyp be x

x²=6²+2²

x²=36+4

x²=40

square root both sides

√x²=√40

x=2√10

Answer:

60 g

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume

Plug in the volume and density, then solve for the mass:

D = m/v

3 = m/20

60 = m

So, the mass is 60 g

Volume of object = 20 mL

Density of object = 3 g/mL

We have to find mass of the object\(.\)

★ Density is defined as the mass of object per unit volume.

It is a scar quantity having only magnitude.

Mathematically, ρ = M/V

By substituting the values, we get

⭆ 3 = M/20

⭆ M = 3 × 20

⭆ M = 60 g

∴ Mass of the object is 60g.

The inverses of the following block matrices i 0 c i , a 0 c d , and 0 i i d (assuming they exist) are correct.

To find the inverse of a block matrix, we need to use the following formula:

[A B]

[C D] ^ -1 = 1 / (AD - BC) * [D -B]

[-C A]

where A, B, C, and D are matrices of appropriate sizes and AD - BC is the determinant of the matrix [A B; C D]. If the determinant is zero, the matrix is singular and has no inverse.

(a) [i 0; c i]

The determinant of this matrix is i * i - 0 * c = -c. Since the determinant is non-zero for any non-zero value of c, the matrix has an inverse. Using the formula, we have:

[ i 0 ]

[ c i ] ^ -1 = 1 / (-c * i - 0 * 0) * [ i 0 ]

[-c i ]

= -1 / c * [ i 0 ]

[-c i ]

= [ -1/c 0 ]

[ 0 -1/c ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ i 0 ]

[ c i ] * [ -1/c 0 ] = [ 1 0 ]

[ 0 1 ]

and

[ i 0 ]

[ c i ] * [ 0 -1/c ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

(b) [a 0; c d]

The determinant of this matrix is ad - 0 * c = ad. Since the determinant is non-zero for any non-zero values of a and d, the matrix has an inverse. Using the formula, we have:

[ a 0 ]

[ c d ] ^ -1 = 1 / (ad - 0 * c) * [ d 0 ]

[ -c a ]

= 1 / ad * [ d 0 ]

[ -c a ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ a 0 ]

[ c d ] * [ d/ad -c/ad ] = [ 1 0 ]

[ 0 1 ]

and

[ a 0 ]

[ c d ] * [ 0 1/ad ] = [ 0 1 ]

[ 0 0 ]

So the inverse is correct.

(c) [0 i; i d]

The determinant of this matrix is 0 * d - i * i = -1. Since the determinant is non-zero, the matrix has an inverse. Using the formula, we have:

[ 0 i ]

[ i d ] ^ -1 = 1 / (-1) * [ d -i ]

[-i 0 ]

= [ -d -i ]

[ i 0 ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ 0 i ]

[ i d ] * [ -d -i ] = [ 1 0 ]

[ 0 1 ]

and

[ 0 i ]

[ i d ] * [ i 0 ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

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Answer: We have to find the dimension of a pool, provided the total area of it is 5000 square feet, and some clues and algebraic relation between length and width:

Diagram:

The diagram according to the information provided is as follows:

The following mathematical equation relates the total area of the pool with the dimensions of the pool:

Plugging in the known variables in equation (1) gives a solvable equation as follows:

The solution to the quadratic equation (2) is as follows:

Therefore the dimensions are:

Answer: The annual percentage yield (APY) is the total amount of interest earned on an investment over a year, expressed as a percentage of the initial investment. The annual interest rate is simply the interest rate per year, expressed as a percentage.

To convert the APY to the annual interest rate, we can divide the APY by the number of times the interest is compounded in a year. If the interest is compounded monthly, then the number of times the interest is compounded in a year is 12.

So, the annual interest rate for the account is given by:

Annual interest rate = APY / number of times compounded in a year

= 5.9% / 12

= 0.49%

Therefore, the annual interest rate for the account is 0.49%.

Step-by-step explanation:

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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If the null hypothesis is correct, the probability that the test will result in a type 1 mistake is what is known as the alpha level for a hypothesis test. In other words, even in the absence of a treatment effect, the alpha level impacts the likelihood of collecting sample data in the critical zone.

The alpha level establishes the boundaries for identifying the key area that results in "extremely unlikely" or significant results that deviate from the null hypothesis. The likelihood of making a Type I error is one in twenty, according to researchers who use an alpha value or level of significance of.05.

The chance of rejecting the null hypothesis when it is true is known as the significance level, which is alternatively written as alpha or. For instance, a significance level of 0.05 represents a 5% probability of assuming the existence of a difference when none actually exists.

Hence we get the required answer.

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a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer: 1.221

Step-by-step explanation: The decimal goes up by 2 places.

Answer:

The decimal goes up by 2 places

Step-by-step explanation:

Answer:

$1,881.28

Step-by-step explanation:

Using the compound interest formula, 1000 dollars 4 years with an interest of 8%, it will be 1360.49 dollars.

After 4 years, the principle becomes 1360.49 dollars, the interest rate becomes 8.44%, and you must calculate for 4 more years.

The final amount after 8 years is 1,881.28. The trick here is compounded separately in 2 parts.

The activation energy for the given reaction is166 KJ/mol. (Option B)

Activation energy refers to the minimum amount of extra energy that is required by a reacting molecule to be converted into product. It is the minimum amount of energy required to energize or activate atoms or molecules so that they can undergo a chemical reaction or transformation. In order to calculate the activation energy (Ea), the Arrhenius equation is used which is given by:

k=Ae^((-E)/RT)

where k is the rate of chemical reaction, A is a constant depending on the chemicals involved, E is the activation energy, R is the universal gas constant, and T is the temperature.

The equation can be expressed as

ln⁡〖k=ln⁡〖A-(E/RT)lne〗  〗

2.303 log⁡〖k=2.303 log⁡〖A-E/RT〗 〗

log⁡〖k=log⁡〖A-E/2.303RT〗 〗

As there are two temperatures and two rate constants given, the Arrhenius equation is rearranged:

log⁡〖k2/k1=E/2.303(1/T1〗-1/T2)

According to the data,

k1 = 2.7 x 10^-4

T1 = 600 K

k2 = 3.5 x 10^-3

T2 = 650 K

R = 8.314

log⁡〖(3.5 x10^(-3))/(2.7 x 10^(-4) )=E/(2.303*8.314)(1/600〗-1/650)

E = 166208 J/mol or 166 KJ

Note: The question is incomplete. The complete question probably is: Calculate the activation energy (Ea) in kJ/mol for a reaction if the rate constant (k) is 2.7 × 10^-4 (M^−1sec^−1) at 600 K and 3.5 × 10^−3 (M−^1sec^−1) at 650 K. a. −166 kJ/mol b. 166 kJ/mol c. 1.64 kJ/mol d. 1.66 × 10^5 kJ/mol. (R

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The mass of the CO2 produced IS 630 Kg

Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.

The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.

Since  a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L

Now;

Given that the density of gasoline = 748.9 g/L

Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg

Number of moles of gasoline =  204 * 10^3/114 g/mol = 1789.5 moles

If 2 moles of gasoline produces 16 moles of CO2

1789.5 moles produces  1789.5 moles * 16 moles/2 moles = 14316 moles

Mass of CO2 =  14316 moles * 44 g/mol = 630 Kg

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The point at which the beam must be supported so that it may rest horizontally is; 9 meters from the left side

The parameters are;

Mass of beam = 50 kg

Length of beam = 12 m

Mass suspended at left end = 30kg

Mass suspended at right end = 40 kg

Let the support that will make the beam rest horizontally be x from the left side.

Thus, taking moment about the point x from the left side is;

30x + 50(6 - x) = 40(12 - x)

30x + 300 - 50x = 480 - 40x

20x = 180

x = 180/20

x = 9 m

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

79.4

Step-by-step explanation:

Answer:

You know a calculator is a thing, right?

Anyways though, the answer is 79.4.

Step-by-step explanation:

UV is a segment Bisector.

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Answer:

17>16

Step-by-step explanation:

Answer:

17 is greater than or (>) than any number lower than 17 :)

Step-by-step explanation:

For example, 17>16.. 17> 15, or 17> 14...ect.

Hope this helps! :)

Have a nice day <3

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem is given as follows:

\(a_1 = -32, q = -\frac{1}{4}\)

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

\(a_{n + 1} = -\frac{1}{4}a_n\)

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Answer:

(12,-1)

Step-by-step explanation:

Let the coordinates of v to be x and y

(4+x)/2=8

4+x=16

X=12

(5+y)/2=3

5+y=2×3

5+y=6

Y=-1

B(12,-1)

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%