Determine the distance covered by a car traveling 80 km/h for each unit and time given. Round answers to the nearest unit.a. kilometers in one hourb. meters in one hourc. meters in one minuted. meters in one second

The figure H''B''G''P'' created following the transformations applied to HBGP such that HBGP is larger than  H''B''G''P'', inverted and on the other side of the y-axis indicates;

The completed table is presented as follows;

\(\begin{array}{|c|c|c|c|c|\pi \pi }\text{Preimage} &\text{Side Length} & \text{Image} &\text{Side Length}&\text{Ratio of Preimage to Image Lengths } \\GB & 5 &G''P'' &2.5&2:1 \\PH &3 & P''H'' &1.5&2:1 \\HB & 5 & H''B'' &2.5&2:1 \\BG &3 & B''G'' & 1.5& 2:1 \\\end{vmatrix}\)

A geometric transformation involves making changes to a geometric figure.

The coordinates if the vertices of the quadrilateral HBGP are;

H(-1, -2), B(-6, -2), G(-6, 1), and P(-1, 1)

The approximate coordinates of the vertices of the quadrilateral H''B''G''P'' are;

H''(0.5, 1), B''(3, 1), G''(3, -0.5), P''(0.5, -0.5)

The length of the side GP in quadrilateral HBGP = -1 - (-6_) = -1 + 6 = 5

Length of the side PH in quadrilateral HBGP = 1 - (-2) = 1 + 2 = 3

Length of the side HB in quadrilateral HBGP = -1 - (-6) = -1 + 6 = 5

Length of the side BG in quadrilateral HBGP = 1 - (-2) = 1 + 2 = 3

The possible transformations applied to HBGP to create H''B''G''P'' includes;

A dilation, a rotation of 180° and a translation

The length of the side G''P'' in quadrilateral H''B''G''P'' = 3 - 0.5 = 2.5

The length of the side P''H'' in quadrilateral H''B''G''P'' = 1 - (-0.5) = 1 + 0.5 = 1.5

The length of the side H''B'' in quadrilateral H''B''G''P'' = 3 - 0.5 = 2.5

The length of the side B''G'' in quadrilateral H''B''G''P'' = 1 - (-0.5) = 1 + 0.5 = 1.5

Ratio of the side length of GP to the side length of G''P'' = 5:2.5 = 2:1

Ratio of the side length of PH to the side length of P''H'' = 3:1.5 = 2:1

Ratio of the side length of HB to the side length of H''B'' = 5:2.5 = 2:1

Ratio of the side length of BG to the side length of B''G'' = 3:1.5 = 2:1

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Answer:

we know the area of the parallelogram is given by a=b×h

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

x = 4.1 & x = −4.1

Step-by-step explanation:

\(x^2 = 17\\\)

x  =  ±√17

x  =  √17,  −√17

x = 4.1 & x = −4.1

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Part (i)

Answer:  m/n

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

Explanation:

You divide the total bill over the number of people at the dinner. This leads to the quotient and the amount each person pays (each person pays the same amount).

====================================================

Part (ii)

Answer:  80 dollars

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

Explanation:

Plug in m = 400 and n = 5 to get

m/n = 400/5 = 80

====================================================

Part (iii)

Answer:  m = 7x

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

Explanation:

x = m/n

x = m/7

7x = m ... multiply both sides by 7

m = 7x

The total bill is 7 times of what each person paid.

====================================================

Part (iv)

Answer:  7 people

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

Explanation:

x = 20 is the amount each person paid

m = 140 is the total bill

n = number of people who went to dinner

x = m/n

20 = 140/n

20n = 140 ..... multiply both sides by n

n = 140/20 ..... divide both sides by 20

n = 7

Seven friends went to do dinner, splitting a $140 bill, paying $20 each

Answer:

m/n; $80; 7*x; 7 friends

Step-by-step explanation:

(I) $x=$m/n

(II) $x=400/5=$80

(III) $m=7*x

(IV) n=140/20=7

The number sentence 4 x 6=6x4 is part of the commutative property of multiplication. This is because since the equation is reversed, it shows that the results will still be the same.

......hope it helps you..all the best

Answer:

Commutative of Multiplication

Step-by-step explanation:

In commutative of multiplication, we can swap the numbers and still get the same product.

========================================================

Explanation:

The equation Ax+By = C has the slope m = -A/B

In the equation 3x+y = -9, we have

The first two values give us a slope of m = -A/B = -3/1 = -3

The negative reciprocal of this is 1/3 which is the perpendicular slope. We flip the fraction and flip the sign.

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

Extra info:

Answer:

1

Step-by-step explanation:

→ Write down slope formula

\(\frac{y2-y1}{x2-x1}\)

→ Identify the values

y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3

→ Substitute in values into formula

\(\frac{9-6}{6-3}\)

→ Simplify

1

To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

Hello ♡

The answer to your question is 7.3333333333 .

Step-by-step explanation:

Hope this helps u ;)

Answer:

Step-by-step explanation:

\(a_1=2\,,\quad a_4=14\\\\a_n=a_1+d(n-1)\\\\a_4=a_1+d(4-1)\\\\14=2+3d\\\\12=3d\\\\d=4\)

Answer:

212 in^2

Step-by-step explanation:

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

y = -1+ 1/4x

Step-by-step explanation:

x - 4y = 4

subtract x from both sides to isolate y

-4y = 4 - x

divide both sides by -4

y = -1 + 1/4x

a) Given preferences are not monotonic.

b) The budget constraint is binding and the consumer cannot afford that bundle.
c) The interpretation of these choices is that the consumer maximizes their utility.

(a) These preferences are not monotonic. Monotonicity means that if one bundle is preferred to another, any bundle with more of both goods should also be preferred. In this case, if x1'+x2' < x1''+x2'', it does not necessarily mean that x1'+x2' < x1''+x2'' for all bundles with more of both goods.

(b) To determine which bundle would be chosen by the consumer, we need to compare the total expenditure on each bundle to the consumer's income. If the total expenditure on a bundle is less than or equal to the consumer's income, then that bundle would be chosen.

If the total expenditure exceeds the consumer's income, then the budget constraint is binding and the consumer cannot afford that bundle.

(c) When prices are strictly negative (p1 = -ω, p2 = -e), the budget set can be represented graphically as a set of bundles that the consumer can afford.

The initial endowment P represents the amount of good 2 that the consumer already possesses without having to spend any money. It is a starting point for the consumer's choices.

(d) To characterize the optimal selection of the consumer, we need to consider whether ω > e or e > ω.

If ω > e, the consumer's optimal choice would lie on the highest attainable indifference curve that is tangent to the budget set.

If e > ω, the optimal choice would lie on the indifference curve that is tangent to the budget set at a point where the consumer exhausts their initial endowment P.

The interpretation of these choices is that the consumer maximizes their utility by selecting the bundle that provides the most satisfaction given their budget constraints and initial endowment.

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Answer:

10 units

Step-by-step explanation:

this is right answer

The PDF of X – Y can be found by using the convolution formula. First, we need to find the PDF of X+Y. Since X and Y are independent, the joint PDF can be found by multiplying the individual PDFs. Then, by using the convolution formula, we can find the PDF of X – Y.

Let fX(x) and fY(y) be the PDFs of X and Y, respectively. Since X and Y are independent, the joint PDF is given by fXY(x,y) = fX(x) * fY(y), where * denotes the convolution operation.

To find the PDF of X+Y, we can use the change of variables technique. Let U = X+Y and V = Y. Then, we have X = U-V and Y = V. The Jacobian of the transformation is 1, so the joint PDF of U and V is given by fUV(u,v) = fX(u-v) * fY(v).

Using the convolution formula, we can find the PDF of U = X+Y as follows:

fU(u) = ∫ fUV(u,v) dv = ∫ fX(u-v) * fY(v) dv

= ∫ fX(u-v) dv * ∫ fY(v) dv

= e^(-u) * [1 - e^(-M u)]

where M is the parameter of the exponential distribution for Y.

Finally, using the convolution formula again, we can find the PDF of X – Y as:

fX-Y(z) = ∫ fU(u) * fY(u-z) du

= ∫ e^(-u) * [1 - e^(-M u)] * Me^(-M(u-z)) du

= M e^(-Mz) * [1 - (1+Mz) e^(-z)]

The PDF of X – Y can be found using the convolution formula. We first find the joint PDF of X+Y using the independence of X and Y, and then use the convolution formula to find the PDF of X – Y. The final expression for the PDF of X – Y involves the parameters of the exponential distributions for X and Y.

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The required answer is the probability of getting the marble in any of the four pieces of cake is 4 times that, or about 0.424.

Explanation :

The volume of the cake can be calculated using the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius (half of the diameter) and h is the height. In this case, the diameter of the cake is 9 inches, so the radius is 4.5 inches. The height of the cake is 4 inches. Plugging these values into the formula, we get V = π(4.5)^2(4) = 254.47 cubic inches.
Now, to calculate the probability of getting the marble in one of the four pieces of cake, we need to know the total length of the cake's circumference. The formula for circumference is C = 2πr, so the circumference of the cake is C = 2π(4.5) = 28.27 inches.
Since the arc length of one piece of cake is 3 inches, the probability of getting the marble in one piece of cake is 3/28.27 ≈ 0.106.

Therefore, the probability of getting the marble in any of the four pieces of cake is 4 times that, or about 0.424.

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p(A U B) = P(A) + P(B)

Cube = 1, 2, 3, 4, 5, 6

even = 2, 4, 6

Number greater than four = 5, 6

If A is the event that the number cube lands on an even number

Then P(A) = 3/6

If B represent the event that the number cube lands on a number greater than four,

Then P(B) = 2/6

p(A U B) = P(A) + P(B)

= 3/6 + 2/6

=5/6

Hello,

if d = 8 ; we have r = 8/2 = 4

A = pi × r² = 3,14 × 4² = 50,24 cm²

Answer:

miles is the answers for the question

Step-by-step explanation:

please mark me as brainlest

22=4 square root 2

Step-by-step explanation:

Using Pythagorean Theory

Mila will receive 68 EUROS of money after the exchange of 80 US dollar.

USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.

Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.

According to the given data in the question,

1 USD =0.85 EURO

80 USD = 0.85*80 EURO

80 USD= 68 EURO

Hence 80USD will be converted to 68 EUROS

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The given manufacturing process has a CpK value of 0.4, which indicates that it is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces.

Explanation:

The CpK (Process Capability Index) value is a measure of how well a process is capable of meeting the specifications or requirements. It takes into account both the process mean and the variability of the process. A CpK value of 1 indicates that the process is capable of meeting the requirement, while a CpK value less than 1 indicates that the process is not capable of meeting the requirement.

In this case, the process mean is 18 ounces and the standard deviation is 2.5 ounces. To find the CpK value, we need to calculate the upper and lower specification limits. Since the requirement is to produce protein bars with a weight of 17.5 ounces, and the requirement is at -2.5 from the process mean, the lower specification limit would be 18 - 2.5 = 15.5 ounces. The upper specification limit would be 18 + 2.5 = 20.5 ounces.

The CpK value can be calculated using the formula:

CpK = min((USL - mean)/3σ, (mean - LSL)/3σ)

where USL is the upper specification limit, LSL is the lower specification limit, σ is the standard deviation, and mean is the process mean.

Substituting the values, we get:

CpK = min((20.5 - 18)/(3 × 2.5), (18 - 15.5)/(3 × 2.5))

= min(0.4, 0.4)

= 0.4

Since the CpK value is less than 1, the process is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces. Therefore, the company needs to improve its manufacturing process to meet the requirements.

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As per the statements given in the question, the equations are N(t) = 930 + (t/4)32, N(t) = 930 - (t/2)64, N(t)= 930 + (2t)36.

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

Total number of students enrolled in new charter = 930

1.

Increases by 32 students every 4 years, the equation will be,

N(t) = 930 + (t/4)32

Here, t is the number of years.

2.

Decreases by 64 students every 2 years, the equation will be,

N(t) = 930 - (t/2)64

One more

3.

Increases by 36 students every semester (twice each year), the equation will be,

N(t)= 930 + (2t)36

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a) The order of the finite group GLₖ(Fₚ) of ₖ×ₖ invertible matrices with entries in the finite field Fₚ, where p is a prime, can be calculated as (p^ₖ - 1)(p^ₖ - p)(p^ₖ - p²)...(p^ₖ - p^(ₖ-1)).

For an element in Fₚ, there are p choices for each entry in a matrix of size ₖ×ₖ. However, the first row cannot be all zeros, so we subtract 1 from p^ₖ. The second row can be any non-zero row, so we subtract p from p^ₖ. For the remaining rows, we subtract p², p³, and so on, until we subtract p^(ₖ-1) for the last row.

b) GLₖ(Fₚ) acts transitively on the set U of non-zero elements of Fₚ.

To prove transitivity, we need to show that for any two non-zero elements u, v in U, there exists a matrix A in GLₖ(Fₚ) such that Au = v.

Consider the matrix A with the first row as the vector u and the remaining rows as the standard basis vectors. A is invertible since u is non-zero. Multiplying A with any column vector x in Fₚ will result in a column vector whose first entry is a non-zero multiple of u. Thus, we can choose x such that the first entry is v. Hence, Au = v, and GLₖ(Fₚ) acts transitively on U.

c) The order of the subgroup H of GLₖ(Fₚ) consisting of matrices A such that Au = u, where u is a fixed non-zero element of Fₚ, is p^((ₖ-1)ₖ).

For each entry in the matrix A, we have p choices. However, the first row is fixed as u, so we have p^(ₖ-1) choices for the remaining entries. Thus, the order of H is p^((ₖ-1)ₖ).

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Answer:

Step-by-step explanation:

? = 1/2(230)

A  115°

Answer:

x = 107/15

Step-by-step explanation:

Our first step should be to turn all of the mixed fractions into improper fractions. So, 1 2/3 becomes 5/3, and -2 1/5 becomes -11/5. We now get -1/4(x + 5/3) = -11/5. Now we should divide both sides by -1/4, and we get x + 5/3 = -11/5 x -4 = 44/5. So x + 5/3 = 44/5. We want the denominator to be equal on both sides so a common denominator could be 15. 5(5)/3(5) = 25/15. 44(3)/5(3) = 132/15. So now we have x + 25/15 = 132/15. We subtract both sides by 25/15 and we get x = 107/15.

The solution of the given equation −1/4(x+1 + 2/3)=−2 + 1/5 is x = 83/15.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given equation,

−1/4(x+1 + 2/3) = −2 + 1/5

-1/4(x + 5/3) = -9/5

x + 5/3 = 9/5 x 4

x = 36/5 - 5/3

x = 83/15

Hence "x = 83/15 is the answer to the given problem, 1/4(x+1 + 2/3)=2 + 1/5".

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