What is 8 * 8?
8*8 =
A. 64
B. 24
C. 91
D. 8

Answer:

162000.

Step-by-step explanation:

63% of 600,000 is 378000

90% of 600,000 is 540000

When you subtract 378,000 from 540,000 you'll get your answer

540,000-378,000= 162000

That means they added 162000 gallons.

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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The true statement regarding programmed decisions is option(C) They have an established decision rule.

Programmed decisions are repetitive and routine in nature, involving situations that have occurred before and for which there are established guidelines or rules to follow. These decisions can be automated and do not require extensive analysis or subjective judgment. They are typically based on standard operating procedures, policies, or predefined algorithms that guide the decision-making process. The established decision rule allows for consistent and efficient decision-making in repetitive situations, saving time and effort.

Programmed decisions are often applied in structured environments where the decision-making process can be clearly defined and standardized. In contrast, new and complex decisions (A) usually require a more dynamic and flexible approach, creative solutions (B), and detailed judgment (D) as they involve unfamiliar situations that lack established rules or precedents.

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Answer:

X = - b / a

Step-by-step explanation:

0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.

The 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal. To calculate the price per ounce of each box of cereal, we can divide the total cost of the box by the total number of ounces in that box. For the 16 ounce box of cereal, the equation would be 4.00/16 = 0.25 per ounce. For the 20 ounce box of cereal, the equation would be 4.50/20 = 0.225 per ounce. Because 0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.

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Answer:

Jupiter :)

Step-by-step explanation:

The solutions to the given differential equations using the determination of integrating factors are 1,

Integrating factor = e^(-3x-4y+3) Solution = y2xe^(-3x-4y+3) = C2,

Integrating factor = x^(-2) Solution = xy = C3,

Integrating factor = y^(-2) Solution = x = C4,

Integrating factor = y^(-2) Solution = (x^2/2) + xy - y^2 = C5,

Integrating factor = e^(-3x-4y+3) Solution = y2xe^(-3x-4y+3) = C6, Integrating factor = u^(-2) Solution = u^2 + v^2 = C.

The given differential equations are:

(2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy =0.

xydx — (x2 + 2y2) dy =0.

(x2+ y2)dx - xydy =0.

y(y + 2x - 2)dx - 2(x + y) dy=0.

(2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy =0.

v(u2 + v2) du — u(u2 + 2v2) dv =0.

Using the determination of Integrating factors:1.

(2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy =0.2.

xydx — (x2 + 2y2) dy =0.3. (x2+ y2)dx - xydy =0.4.

y(y + 2x - 2)dx - 2(x + y) dy=0.5.

(2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy =0.6.

v(u2 + v2) du — u(u2 + 2v2) dv =0.

The differential equation is: (2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy =0.

The given differential equation can be expressed in the form of Mdx + Ndy = 0.

The values of M and N are:M = (2y2 + 3xy - 2y + 6x) and N = (x +2y - I)x.

To check whether the given differential equation is exact or not, the following relation must be satisfied: (M/y) = (N/x)

For M = (2y2 + 3xy - 2y + 6x),  M/y = 4y + 3x - 2

For N = (x +2y - I)x, N/x = 1 + 2y

Thus, the given differential equation is not exact because M/y ≠ N/x

To solve this differential equation, an integrating factor is used which is given as:

Integrating Factor = e∫(N/x - M/y) dx

Integrating Factor = e∫(1 + 2y - 4y - 3x + 2) dx

Integrating Factor = e∫(-3x - 4y + 3) dx

Integrating Factor = e^(-3x-4y+3)

The general solution of the given differential equation can be written as:

(2y2 + 3xy - 2y + 6x) dx + x(x +2y - I)dy = 0.

Multiplying both sides of the equation by the integrating factor IF, we get:

e^(-3x-4y+3) (2y2 + 3xy - 2y + 6x) dx + e^(-3x-4y+3) x(x +2y - I)dy = 0.

The left-hand side of the equation can be written as the total derivative of the product y2x.e^(-3x-4y+3).

Thus, the differential equation becomes d(y2x.e^(-3x-4y+3)) = 0.

Integrating both sides of the equation, we get y2xe^(-3x-4y+3) = C.

The solutions to the given differential equations using the determination of integrating factors are 1.

Integrating factor = e^(-3x-4y+3) Solution = y2xe^(-3x-4y+3) = C2.

Integrating factor = x^(-2) Solution = xy = C3.

Integrating factor = y^(-2) Solution = x = C4.

Integrating factor = y^(-2) Solution = (x^2/2) + xy - y^2 = C5.

Integrating factor = e^(-3x-4y+3) Solution = y2xe^(-3x-4y+3) = C6.

Integrating factor = u^(-2) Solution = u^2 + v^2 = C.

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Answer: w can be 1,2,4,5

Step-by-step explanation:

Let's recap the formula of Area:
Area = width x length = w x l
Area = 40 = w x l

The definition of a whole number: is a number without fractions; an integer such as 0, 1, 2, 3, 4, 5, 6,...

Let's start with 0. 0 times anything is equal to 0, so we cannot make 40 out of zero. Cross this out.

Next, let's try with 1:

a. 1x40 = 40

Then, applying the same concept to the rest we have these multiplications:

b. 2x20 = 40

c. 4x10 = 40

d. 5x8 = 40

e. 8x5 = 40

f. 10x4 = 40

g. 20x2 = 40

h. 40x1 = 40

Let's recap the formula of Perimeter:

P = 2 x (w + l)

So, we have the calculated perimeters (according to the above finding):
a. P= 2x(1+40)=82

b. P= 2x(2+20)=44

c. P= 2x(4+10)=28

d. P= 2x(5+8)=26

The below answers do not fit the [width < length]

e. P= 2x(8+5)=26 [not an answer]

f. P= 2x(10+4)=28 [not an answer]

g. P= 2x(20+2)=44 [not an answer]

h. P= 2x(40+1)=82 [not an answer]

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

Answer:

C

Step-by-step explanation:

A net is formed when the surfaces of a given shape is laid flat on a horizontal plane. And on folding it with respect to its edges, the initial shape is reproduced with no distortion or loss.

From the given question, the net that would not produce a cube is that of option C.

The length and width of the rectangle are 3n²+ 10n+14 and 2n² respectively.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Area is measured in squared units.

The area of a rectangle is expressed as ;

A = l× w

The area is given as 6n⁴+20n³+14n².

A monomial is an expression that has a single non-zero term.

The greatest monomial factor of the area is 2n². This is because the greatest factor between n⁴, n³ and n² is n² and the greatest common factor between 6, 20 and 14 is 2

therefore 6n⁴+20n³+14n² = 2n²( 3n²+ 10n + 14)

Since the width of the rectangle is the greatest monomial factor, therefore,

the width = 2n² and

The length = 3n²+10n+14

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

\(\frac{1}{4}\) (\(\sqrt{2}\) - \(\sqrt{6}\) )

Step-by-step explanation:

Using the addition formula for cosine

cos(a + b) = cosacosb - sinasinb

and the exact values

cos\(\frac{\pi }{3}\) = \(\frac{1}{2}\), sin\(\frac{\pi }{3}\) = \(\frac{\sqrt{3} }{2}\) , cos\(\frac{\pi }{4}\) = sin\(\frac{\pi }{4}\) = \(\frac{\sqrt{2} }{2}\)

Note \(\frac{7\pi }{12}\) = \(\frac{\pi }{3}\) + \(\frac{\pi }{4}\) , thus

cos\(\frac{7\pi }{12}\) = cos(\(\frac{\pi }{3}\) + \(\frac{\pi }{4}\) )

= cos\(\frac{\pi }{3}\)cos\(\frac{\pi }{4}\) - sin\(\frac{\pi }{3}\)sin\(\frac{\pi }{4}\)

= ( \(\frac{1}{2}\) × \(\frac{\sqrt{2} }{2}\) ) - (\(\frac{\sqrt{3} }{2}\) × \(\frac{\sqrt{2} }{2}\) )

= \(\frac{\sqrt{2} }{4}\) - \(\frac{\sqrt{6} }{4}\)

= \(\frac{1}{4}\) (\(\sqrt{2}\) - \(\sqrt{6}\) )

Answer:

d

Step-by-step explanation:

just did it on ed

Answer:

50.24

Step-by-step explanation:

radius R = 2

SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24

The voltage drop in the circuit running through resistor five is 45 volts

The voltage drop running through a resistor is the product of the current and the resistance of the resistor.

The voltage drop running through resistor five can therefore be found from the product of the current in the circuit and the magnitude of the resistor five as follows;

The combined resistor of the parallel resistors is found as follows;

Req = 1/((1/R₃) + (1/R₄))

Req = 1/((1/18) + (1/9)) = 6

The magnitude of the equivalent resistor of the circuit is therefore;

R = 3 ohms + 6 ohms + 6 ohms + 15 ohms = 30 ohms

The current in the circuit can be obtained from Ohms Law as follows;

The equation of Ohm's Law is; V = I·R

Where;

V = The voltage of the circuit = 90 volts

I = The current flowing in the circuit

R = The resistance of the circuit = 30 Ohms

Therefore; I = V/R

I = 90 V/(30 Ohms) = 3 Ampere

The voltage drop, V, running through resistor five which is 15 Ohms is therefore;

V = I × R

V = 3 Amp × 15 Ohms = 45 V

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John spends 3/5 of his money on a new football and more money on candy.

What fraction is reasonable for the amount of money left.

Since 3/5 was spent,

The answer is 1/6.

Since 6/5 > 1, he can't have more money after spending less.

Since 3/5 > 1/2. He can't have 1/2 remaining

Since 2/5 = 1 - 3/5. This means that nothing was spent on candy. Thus this is not possinle.

Thus, the reasonable amount of money left is ;

Answer:

im not a 100% sure but i think its the 3rd one

The third table represents the linear function y = -3x + 11 so option (C) is correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given function,

y = -3x + 11

Put x = 0

y = -3 x 0 + 11 = 11

Put x = 1

y = -3(1) + 11 = 8

Put x = 2

y = -3 x 2 + 11 = 5

Since the values in table third are satisfied thus it will be correct.

Hence "The linear equation for the third table is y = -3x + 11.".

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The change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

We have,

Length of coasts along the hill = 62.2 meters,

And,

The angle car make with the ground = 28.3°,

And,

The mass of the car = 1234 kg,

Now,

We know,

From the Work Energy Theorem that,

The change in Potential energy = The work done on the mass.

And,

Work done i.e. W = F × s × CosΘ

Here,

F = Force,

s = Distance car cover,

And,

Θ = Angle car make with the ground,

And,

We know that,

Force i.e. F = mass × acceleration due to gravity = m × g

And,

g= Acceleration of gravity = 9.8 m/s²

So,

Now,

Putting values,

i.e.

F = 1234 × 9.8 = 12093.2 Newton

Now,

Using the Formula of Work done,

i.e.

W = F × s × CosΘ,

Putting values,

i.e.

W = 12093.2 × 62.2 × Cos(28.3°)

On solving we get,

W = 662,292.459 Joule

So,

Chane in potential energy = 662,292.459 Joule

Hence we can say that the change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

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Answer:

21/2

Step-by-step explanation:

step 1: remove parentheses

10+1/2

step 2: calculate

21/2

(alternative forms: 10 1/2, 10.5)

For first six weeks she saved 213$

Now

For next 6weeks

\(\\ \sf\longmapsto 2x-30=2(213)-30=426-30=396\$\)

Total savings:-

.\(\\ \sf\longmapsto 396+213=609\$\)

Answer:

Step-by-step explanation:

Mahni saved 6x in the first 6 weeks which is $213.

She saves in the next 6 weeks:

Total saving is:

Answer:

If common denominators allow us to compare fractions just by looking at the numerators, then common numerators should allow us to compare fractions by looking only at the denominator.

Step-by-step explanation:

hope i can be of help <3

Answer:

1/8

Step-by-step explanation:

To make any decimal into a fraction, it will need to be over 1. 0.125 needs to be put over 1.

= 0.125 / 1

Multiply the fraction by 8/8 to turn 0.125 into a whole number.

= 1 / 8

Answer:

it's intersects the x axis at (3,3)

Answer:

Second choice is correct.  The coordinates of the points add up to 3

Step-by-step explanation:

only the first choice is correct.  The line intersects the x-axis at (3, 0), not (3, 3)

The line intersects the y-axis at (0, 3), not (3, 3)     x and y add up to 3, not 6

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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The probability of a Type I error is extremely small, which means that the workers are unlikely to make a mistake by shutting down the machine too often when the true mean weight of cereal in the boxes is equal to or greater than 520 grams.

The probability is a metric for determining how likely an event is to occur. It assesses the event's certainty. P(E) = Number of Favorable Outcomes / Number of Total Outcomes is the probability formula.

To calculate the probability of a Type I error, we first need to specify the null and alternative hypotheses.

Null hypothesis: The true mean weight of cereal in the boxes is equal to or greater than 520 grams.

Alternative hypothesis: The true mean weight of cereal in the boxes is less than 520 grams.

Let's denote the true mean weight of cereal in the boxes as μ. Under the null hypothesis, we have μ ≥ 520.

We can use the fact that the distribution of fills is normal with a known standard deviation of 3 grams to find the sampling distribution of the sample mean weight of cereal in a sample of size 3. Since we are sampling without replacement, we need to use the formula for a finite population:

Standard error of the sample mean = standard deviation / sqrt(sample size) * sqrt(N-n/N-1)

where N is the population size (the total number of boxes filled), n is the sample size (3 in this case), and N-1 is the degrees of freedom.

We know that the population mean is μ and the population standard deviation is 3 grams. We also know that the machine is set to put 523 grams in each box, so N (the population size) is equal to 515 / 523 times the number of boxes filled. Let's assume that the machine fills 10,000 boxes per day, so N = 9,856.

Plugging in the values, we get:

Standard error of the sample mean = 3 / √(3) * √(9,856-3/9,855) = 1.539 grams

Next, we need to find the critical value of the sample mean weight that separates the rejection region (when we reject the null hypothesis) from the acceptance region (when we fail to reject the null hypothesis).

Since the alternative hypothesis is one-tailed (we are only interested in the left tail), we can use a one-tailed t-test with a significance level of 0.05. The degrees of freedom is n-1 = 2.

Using a t-table or a calculator, we find the critical value to be -2.353.

Finally, we can calculate the probability of a Type I error as follows:

Probability of Type I error = P(reject null | null is true)

= P(sample mean < critical value | μ ≥ 520)

= P(z < (critical value - μ) / standard error of the sample mean | μ ≥ 520)

= P(z < (-2.353 - 520) / 1.539 | μ ≥ 520)

= P(z < -9.747 | μ ≥ 520)

= extremely small (close to 0)

Therefore, the probability of a Type I error is extremely small, which means that the workers are unlikely to make a mistake by shutting down the machine too often when the true mean weight of cereal in the boxes is equal to or greater than 520 grams.

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Answer:

C

Step-by-step explanation:

A<B<D do not make sense

Answer:

y - 1 = -3/2(x - 0)

Step-by-step explanation:

trust me

The equation of the line in point-slope form is y - 1 = -3/2(x - 0).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that passes through the (0,1) and has a slope of -3/2. The equation of the line will be written as,

y - y₁ = m(x-x₁)

y - 1 = (-3 / 2) ( x - 0 )

Therefore, the equation of the line in point-slope form is y - 1 = -3/2(x - 0).

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