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Answer:

distance from Houston to Galveston in  kilometers will be: 80km

Step-by-step explanation:

Given

The distance from Houston to  Galveston is about 50 miles.

i.e.

Kilometers in 1 Mile = 1.6 km

As the distance from Houston to  Galveston is about 50 miles, so

The distance from Houston to Galveston in  kilometers will be:

50(1.6) = 80   ∵ Kilometers in 1 Mile = 1.6 km

Therefore,

The distance from Houston to Galveston in  kilometers will be: 80km

Answer:

\(\sqrt{34}\) or 5.83

Step-by-step explanation:

Answer:

\(2\sqrt{2}\)

Step-by-step explanation:

\(d = \sqrt[]{(x_{2}-x_{1})+(y_{2}-y_{1})}\)     | Distance formula

\(d = \sqrt[]{(3-(-2))+(4-1)}\)       | Plug in

\(d = 2\sqrt{2}\)                                   | Solve

Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer:

1

Step-by-step explanation:

the answer should be 3 x 10⁵

Answer:

it is 300000 time large

Step-by-step explanation:

Hope this Helped

We don’t know the number of employees remaining at the company.

We don’t know the total number of employees remaining at the company.

The classification consists of gender, division, and employment type.

It doesn’t matter what order those attributes come in. A person who is male, age group 6, and employment type 10 has the same classification as someone who is of employment type 6, male, and age group10.

Therefore since order does not matter it is a combination question.

Assuming only two genders are allowed (you didn’t say and some people think there are about 10 of them)

It is either 120 (2 times 6 times 10) or "None of the above" if you believe there are more than 2 genders.

2×6×10=120

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The demand for NOVA education is considered inelastic as the decrease in enrollment was smaller than the increase in tuition.

To determine whether NOVA education is elastic or inelastic, we can examine the change in enrollment relative to the change in tuition. In this case, when the tuition increased from $200 per credit to $250 per credit, the enrollment declined from 50,000 to 40,000. If the percentage change in enrollment is greater than the percentage change in tuition, the demand for education is considered elastic. This indicates that the quantity demanded is sensitive to changes in price. Conversely, if the percentage change in enrollment is less than the percentage change in tuition, the demand is considered inelastic, meaning that the quantity demanded is not highly responsive to price changes.

Calculating the percentage change in tuition: (250 - 200) / 200 * 100% = 25%

Calculating the percentage change in enrollment: (40,000 - 50,000) / 50,000 * 100% = -20%

Since the percentage change in enrollment (-20%) is less than the percentage change in tuition (25%), we can conclude that NOVA education is inelastic. The decrease in enrollment suggests that the demand for education at NOVA is not highly sensitive to changes in tuition.

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Answer:

x² - 12x + 27

given:

solve function:

→ f(x) - g(x)

→ x² - 11x + 24 -(x - 3)

→ x² - 11x + 24 - x + 3

→ x² - 11x -x + 24 + 3

→ x² - 12x + 27

Done!

Answer:

x = 3

Step-by-step explanation:

First you want to divide both sides by 5 to get 2x-4 = 2.

Afterwards, you add 4 to both sides of the equation. 2x = 6

Divide both sides by 2. x = 3

The value of x = 3 is correct. Therefore, the solution is x = 3.

To solve for x in the equation 5(2x - 4) = 10, follow these steps:

Step 1: Distribute the 5 on the left side of the equation:

10x - 20 = 10

Step 2: Add 20 to both sides to isolate the term with x:

10x - 20 + 20 = 10 + 20

10x = 30

Step 3: Divide both sides by 10 to find the value of x:

x = 30 / 10

x = 3

The solution to the equation is x = 3. To verify, substitute x with 3 in the original equation:

5(2(3) - 4) = 10

5(6 - 4) = 10

5(2) = 10

10 = 10

Since both sides are equal, the value of x = 3 is correct. Therefore, the solution is x = 3.

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Answer:

3(2) + 15= 21; 3(3) +15= 24; 3(5) + 15= 30

Step-by-step explanation:

just plug in your x values and then solve

Answer:

D

Step-by-step explanation:

Note that 3 × 4 = 4 × 3 = 12

This is called the commutative property of multiplication.

Thus

(5 + 6) × (2 + 4) = (2 + 4) × (5 + 6)

When x1 = 0.5 and rho = -0.2, the value of x2 that would make the consumer indifferent to (1,1) is approximately 1.5.

The utility function can be represented as U(x1, x2) = \(x1 + rho * x2\). In this case, the consumer is indifferent to (1,1), which means that U(1, 1) = U(x1, x2). Substituting the values, we have \(1 + rho * 1 = x1 + rho * x2\).

Given that x1 = 0.5 and rho = -0.2, we can rearrange the equation to solve for x2. Plugging in the values, we get \(1 - 0.2 = 0.5 - 0.2 * x2\). Simplifying further, we have 0.8 = 0.5 - 0.2 * x2. Rearranging the equation, we find \(-0.2 * x2 = 0.5 - 0.8\). Solving for x2, we get \(-0.2 * x2 = -0.3\). Dividing both sides by -0.2, we find x2 = 1.5.

Therefore, when x1 = 0.5 and rho = -0.2, the value of x2 that would make the consumer indifferent to (1,1) is approximately 1.5.

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In order to multiply two fractions, we can follow the steps below:

0. find the product between the two numerators; ,(3 * 7 = 21)

1. find the product between the two denominators; ,(10 * 2 = 20)

2. the product of the two fractions will be the result of step 1 (the numerator of the final result), divided by the result of step 2 (the denominator of the final result):

Therefore, the answer is:

No, R = Z4[x] is not a domain because it contains zero divisors, resulting in nonzero elements whose product is zero.

A domain, also known as an integral domain, is a commutative ring with unity where the product of any nonzero elements is nonzero. In the case of the polynomial ring R = Z4[x], the coefficients of the polynomials are taken from the finite ring Z4, which consists of the integers modulo 4.

To determine whether R = Z4[x] is a domain, we need to examine if there exist any nonzero elements whose product results in zero. If we can find such elements, then R is not a domain.

Let's consider two nonzero elements in R, namely x and 2x. When we multiply these elements, we get 2x². However, in the ring Z4, the element 2x² is equal to zero. This means that the product of x and 2x is zero in R.

Since we have found nonzero elements whose product is zero, we can conclude that R = Z4[x] is not a domain. It fails the criterion that the product of any nonzero elements should be nonzero.

In Z4, the presence of zero divisors, specifically 2 and 0, is responsible for the failure of R to be a domain. These zero divisors lead to the existence of nonzero elements whose product is zero, violating the fundamental property of a domain.

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The expected mass of the sample in the year of 2021 is given as follows:

9 mg.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial mass was of 130 mg, hence the parameter a is given as follows:

a = 130.

In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:

b² = 80/130

b = square root(80/130)

b = 0.78446454055.

This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:

y = 130(0.78446454055)^x.

2021 is 11 years after 2010, hence the expected mass is obtained as follows:

y = 130(0.78446454055)^11

y = 9 mg.

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Answer: 2. 2

3. 110,121,132

4.22,110

5.4.5

Step-by-step explanation:

2. 20-12=8, 8divided by 4=2

3. 363 divided by 3=121(this is the avg of the consecutive multiples so one multiple must be 11 above and another 11 below

4.66 divided by 3=22, 22x 2 and 22 x 5

5.2 x2=4, 13-4=9, 9 divided by 2 is 4.5

The following algebraic expression must be satisfied:

s1 + s2 > s3.

s1 + s3 > s2.

s2 + s3 > s1.

The formula of the area of triangle in coordinate geometry is: A = (1/2)|x1 1 (y2 2 − y3 3 ) + x2 2 (y3 3 − y1 1 ) + x3 3 (y1 1 − y2 2 )|, where (x1 1 ,y1 1 ), (x2 2 ,y2 2 ), and (x3 3 ,y3 3 ) are the vertices of triangle.

xyz = x + y + z + 2 Add 1 + (zx + zy + xy) + (x + y + z) to both sides xyz + 1 + (zx + zy + xy) + (x + y + z) = 2x + 2y + 2z + 3 + zx + zy + xy Rearrange the terms on both sides : 1 + x + y + xy + z + zx + zy + xyz = 1 + y + z + yz + 1 + x + z + zx + 1 + x + y + xy ...

In this case, angle is equal to angle . Angles on a straight line sum to 180 degrees. This means that we can calculate the measure of angle by subtracting 122 from 180.

The area of a parallelogram is equal to the area of the rectangle on the same base and of the same altitude, i.e., between the same parallels. The area of a triangle is half the product of any of its sides and the corresponding altitude.

Therefore,

The following algebraic expression must be satisfied:

s1 + s2 > s3.

s1 + s3 > s2.

s2 + s3 > s1.

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Answer:

5 1/10

Step-by-step explanation:

Convert all integers to decimals.

6.1

5.4

5 1/10 = 5.1

6 7/10 = 6.7

The smallest number frrom the list is 5.1 or 5 1/10.

Answer:

5 1/10

Step-by-step explanation:

Convert to the same format, IE. decimals so you can compare like numbers.  The other numbers are:

6.1

5.4

5.1      (1/10 = 0.1)

6.7      (7/10 = 0.7)

So, from least to greatest they are:

5.1

5.4

6.1

6.7

The standard error of the proportion decreases as the sample size increases. This means that larger sample sizes provide more accurate estimates of the population proportion.

To calculate the standard error of the proportion, we can use the formula:
SE = √(p(1-p)/n)
Where:
SE = standard error
p = proportion of the population
n = sample size
For each sample size, we can plug in the values and calculate the standard error:
A. For a sample size of 30:
SE = √(0.39(1-0.39)/30) = 0.088
B. For a sample size of 60:
SE = √(0.39(1-0.39)/60) = 0.062
C. For a sample size of 90:
SE = √(0.39(1-0.39)/90) = 0.051

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Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

Answer:

\(y = - 3\)

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

Answer:

60-45=15

x=15

180-15=165

y=165

Answer:

Thsi is for #1..... x = 75

Step-by-step explanation:

WORK:

60 + 45 + x = 180

       45 + x = 180 -60

       45 + x = 120

               x = 120 - 45

               x = 75

CHECK: 60 + 45 + 75 = 180 ✅

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Proof:

In △ABC and △DCB,

CB = CB (common)

∠ABC = ∠BCD (each 90°)

and AB = CD (given)

(i) ∴ △ ABC ≅ △DCB (S.A.S. Axiom)

(ii) Hence AC = DB (c.p.c.t.)

Hence proved.

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

Answer:

the first one is an ellipse.is ellipse a function Gods plan I think the second one is a function.

Answer:

D^2 = (x^2 + y^2) + z^2

and taking derivative of each term with respect to t or time, therefore:

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

divide by 2 on both sides,

D*dD/dt = x*dx/dt + y*dy/dt

Need to solve for D at t =0,  x (at t = 0) = 10 km,  y (at t = 0) = 15 km

at t =0,

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

D = sqrt(329)

Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0

dD/dt = (x*dx/dt + y*dy/dt)/D  =  (10*190 + 15*60)/sqrt(329)  = (1900 + 900)/sqrt(329)

= 2800/sqrt(329) = 154.4 km/hr

154.4 km/hr

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total outcome is

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100

Favorable outcome is

3 + 6 + 11 + 16 + 5 = 41

The percent probability is

41 / 100 = 41 %

Answer:

Step-by-step explanation:

An inequality which represents all possible values for x in -2x>-48 is: B. x < 24.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data such as integers, and variables in an equation based on any of the following inequality symbols:

Next, we would find the solution and possible values to this given inequality as follows:

-2x > -48

Dividing both sides of the inequality by -2, we have:

-2x/-2 > -48/-2

x < 48/2

x < 24.

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution