Use parametric equations to describe the solution set of the linear
equation below. Give the exact answer, using fractions if necessary.
Use the variables s and t for your parameters.
6x1-4x2+18x3=12
x1=
x2=
x3=

Answer: Independent vairable: the variable being changed in an experiment. Dependent variable: the variable that causes the change in an experiment. Domain: the first and last points on a graph on the x part. (think of it as how much it goes across) Range: the first and last points on a graph on the y part. (Think of it as how much it goes up or down.)

Sorry this is the only part i have the answer to!

Answer:

14

Step-by-step explanation:

if the number of tortillas to total packages is 7:16, that would mean that the number of tortillas is a multiple of 7.

Answer:

Jaime

Step-by-step explanation:

Jaime claims that when you multiply a whole number by 100, the decimal point moves 2 places to the right. Salome argues that the decimal point only moves when you multiply a decimal by 100. Salome says that when you multiply a whole number by 100, the product has 2 extra zeros. Who is correct?

Jaime is more correct

When converting a DECIMAL into percentage (%), decimal points will move two places to the LEFT

When multiplying a WHOLE number by 100, the decimal point moves two places to the RIGHT.

Answer:

- x + 2

Step-by-step explanation:

Step 1:

x + ( - 3 ) + 5 - 2x    Equation

Step 2:

x - 3 + 5 - 2x    Open Parenthesis

Step 3:

- x - 3 + 5      Subtract

Answer:

- x + 2     Add

Hope This Helps :)

Answer:

-x+2 is the final answer

Step-by-step explanation:

you first do with the brackets and deduce

According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

We have been given that the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 55 and a standard deviation of 10.

We are asked to find out the approximate percentage of daily phone calls numbering between 35 and 75 using the empirical rule.

The empirical rule is used to describe how many of the observations fall within a certain distance of the mean in a normal distribution of data.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To use the empirical rule, we first need to find the z-scores for the values of 35 and 75. We can use the formula

z = (x - μ) / σ,

where x is the value we want to find the z-score for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

For x = 35, we have

z = (35 - 55) / 10 = -2, and

for x = 75, we have

z = (75 - 55) / 10 = 2.

So, the values of 35 and 75 are 2 standard deviations away from the mean. According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean.

Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

Learn more about empirical rule visit:

brainly.com/question/1263320

#SPJ11

Answer:D

Step-by-step explanation:

Final AnThe leading coefficient of the resulting polynomial is 16.

To find the leading coefficient of the resulting polynomial, we need to multiply the coefficients of the terms with the highest degree in each binomial expression.

The expression given is (2c3)(8c).

1: Simplify each binomial expression separately:

(2c3) = 2 * (c * (c-1) * (c-2))

(8c) = 8 * c

2: Multiply the simplified binomial expressions:

(2c3)(8c) = (2 * (c * (c-1) * (c-2))) * (8 * c)

3: Apply the distributive property and multiply each term:

(2c3)(8c) = 2 * 8 * (c * (c-1) * (c-2)) * c

4: Simplify further:

(2c3)(8c) = 16 * c * (c * (c-1) * (c-2))

5: Rearrange the terms:

(2c3)(8c) = 16 * c * (c-1) * (c-2) * c

6: Combine like terms and multiply coefficients:

(2c3)(8c) = 16 * [tex]c^2[/tex] * (c-1) * (c-2)

7: Multiply the remaining binomial expressions:

(2c3)(8c) = 16 * [tex]c^2 * (c^2[/tex] - 3c + 2)

Step 8: Expand the expression:

(2c3)(8c) = 16 * [tex](c^4 - 3c^3 + 2c^2)[/tex]

9: Identify the term with the highest degree:

The highest degree in the resulting polynomial is 4.

10: Find the coefficient of the term with the highest degree:

The coefficient of the term with the highest degree is 16.

Therefore, the leading coefficient of the resulting polynomial is 16.

For more such questions on polynomial, click on:

https://brainly.com/question/1496352

#SPJ8

The dominate is 34 I did it

Answer:

9

Step-by-step explanation:

The speed of the train in miles per hour which is the ratio of the total distance covered and the total time taken to cover the distance is 9.79 mph

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, we have,

Total distance covered = 7 and 5/6 miles = 7.83333 miles

Total time taken = 4/5 of an hour = 0.8 hour

Recall :

Speed in miles per hour = Distance covered / time taken

The speed of the train = 7.833333 ÷ 0.8 = 9.7916

The speed of the train in miles per hour = 9.79 mph

Therefore, the speed of the train in miles per hour as calculated from the distance covered by the train over a certain period of time is 9.79 mph

Learn more on speed:

brainly.com/question/18904995

#SPJ2

complete question;

The train ride at the zoo covers a distance of 7 and 5/6 miles in 4/5 of an hour. How many miles per hour does the train go?

1. For the provided function the statement "The range is {y l y ≥ 11.5\}" is True.

2. For the provided function the statement "The domain is all real numbers" is True.

3. For the provided function the statement "The y-intercept is 4.5" is False.

4. For the provided function the statement "There is no x-intercept" is True.

5. For the provided function the statement "The rate of change is $ 4.5 per mug" is True.

Let's analyze each statement about the features of the function C(m) = 4.50m + 7 in terms of the context:

1. The range is {y | y ≥ 11.5}.

The range represents the set of all possible values of y (total cost) for different values of m (number of mugs).

In this case, since the cost C(m) is given by 4.50m + 7, any value of m will result in a total cost (y) that is greater than or equal to 11.5.

Therefore, the range is {y | y ≥ 11.5}.

2. The domain is all real numbers.

The domain represents the set of all possible input values for m.

In this case, since there are no restrictions or limitations on the number of mugs that can be ordered, the domain includes all real numbers.

So, the statement is true.

3. The y-intercept is 4.5.

The y-intercept is the value of y (total cost) when m (number of mugs) is zero.

Substituting m = 0 into the equation C(m) = 4.50m + 7, we get C(0) = 4.50(0) + 7 = 7.

Therefore, the y-intercept is 7, not 4.5.

4. There is no x-intercept.

The x-intercept represents the value of m (number of mugs) where the total cost C(m) is zero.

If we set C(m) = 0 and solve for m in the equation 4.50m + 7 = 0, we get m = (-7) / 4.50. Since m represents the number of mugs, it doesn't make sense to have a negative or fractional value for m in this context.

Therefore, there is no x-intercept.

5. The rate of change is $4.5 per mug.

The coefficient of m in the equation C(m) = 4.50m + 7 represents the rate of change, which indicates how the cost changes as the number of mugs increases.

In this case, the rate of change is $4.50 per mug, meaning that for each additional mug ordered, the total cost increases by $4.50.

Therefore, the statement is true.

To know more about function refer here:

https://brainly.com/question/24208691#

#SPJ11

Answer:

The y-intercept is +5

Step-by-step explanation:

3y=-5x + 15 divided by 3

Y=-5/3x +5

Answer: m

=

−

5

3

Explanation:

Change the equation into the form

y

=

m

x

+

c

5

x

+

3

y

=

15

3

y

=

−

5

x

+

15

←

÷

3

y

=

−

5

3

x

+

5

As this is in the slope-intercept form, you can read the slope immediately as

m

=

−

5

3

The y-intercept is +5

Step-by-step explanation:

Answer:

the Answer is c I just had the same problem

Answer:

120960 seconds

Step-by-step explanation:

Answer:

[tex]1min = 60 \: s \\ three \: seconds - - - - - 300 \: miles \\ 60 \: seconds = 3 \times 20 \: seconds \\ so \: we \: have \: 20 \: of \: three \: sconds \: \\ which \: means \: 20 \: three \: hundreds \: \\ 20 \times 300 = 6000 \: miles \: \\ and \: we \: are \: done.[/tex]

Answer:

2

Step-by-step explanation:

First, take the derivative of 2x:

f(x)=2x becomes f'(x)=2

now since this is a constant regardless of what x you "plug" in you will have 2.

Answer:

if people don't help u could always ask for help from ur teacher

Answer:

The perimeter is the measure or length of the outline of an object or a shape.

The perimeter of the double headed arrow is,

= 7.9 cm + 7.9 cm + 5.1 cm + 5.1 cm + 5.1 cm + 5.1 cm + 1.2 cm + 1.2 cm + 1.2 cm + 1.2 cm.

= 2 × 7.9 cm + 4 × 5.1 cm + 4 × 1.2 cm.

= 15.8 cm + 20.4 cm + 4.8 cm.

= 41 cm.

Step-by-step explanation:

Answer:

[tex]188.6[/tex] cubic feet

Step-by-step explanation:

Let r, h denotes radius and height of the tree's trunk.

Radius of the tree's trunk = 2 feets

Height of the tree's trunk = 15 feets

The tree's trunk is in the shape of a cylinder.

Volume of cylinder (tree's trunk) [tex]=\pi r^2h[/tex]

Put [tex]r=2\,,\,h=15[/tex]

Volume of the tree's trunk [tex]=\pi (2)^2(15)=60\pi[/tex] cubic feet

Put [tex]\pi=\frac{22}{7}[/tex]

So,

Volume of the tree's trunk [tex]=60(\frac{22}{7})=\frac{1320}{7}=188.6[/tex] cubic feet

Volume of the solid obtained by rotating the region bounded by curve y = 2xe⁻ˣ, y = 0, x = 2 about y-axis is [tex]$$V = \int_0^2 2\pi y \sqrt{2}\ dy$$[/tex]

To apply the cylindrical shell method, we have to consider vertical cylinders, whose height is same as the height of the curve and whose radius is the perpendicular distance from the axis of rotation to a point on the curve.

Volume of each cylinder is given by formula:

[tex]$$V_\text{cylinder} = 2\pi rh\Delta x$$[/tex] where h the is height of cylinder and r is radius. To obtain the volume of the solid, we add the volume of all the cylindrical shells.

To set up the integral, we have to find the expression for r and h and since we are rotating about y-axis, we need to express x in terms of y. From the equation,

y = 2xe⁻ˣ, we have:[tex]$$x = \frac{y}{2e^{-x}}$$[/tex]

We can use the property that [tex]e^(-x)[/tex] is the reciprocal of [tex]e^x[/tex] to write:

[tex]$${e^x} = \frac{1}{e^{-x}}$$[/tex]

Substituting, we get: [tex]$$x = \frac{y}{2}e^x$$[/tex]

Next, we find the limits of integration. The curve y = 2xe⁻ˣ, y = 0, x = 2 encloses a region in the first quadrant.

To find the limits of integration, we need to solve for the two points of intersection of the curve with the axis of rotation. We get:

[tex]$y = 2xe^{-x}[/tex]

[tex]= 0$$x[/tex]

[tex]= 0$ or $x[/tex]

[tex]= 2$[/tex]

Hence, we integrate from 0 to 2.To express r and h in terms of y, we draw a diagram of a typical cylindrical shell and the region being rotated:

From the diagram, we see that:

[tex]$r = x[/tex]

[tex]= \frac{y}{2}e^x[/tex]

[tex]= \frac{y}{2}e^{\ln 2y}[/tex]

[tex]= y \sqrt{2}$$h[/tex]

=[tex]\Delta x[/tex]

= [tex]dx$[/tex]

Thus, the volume of each cylindrical shell is:

[tex]$$dV = 2\pi rh\ dx[/tex]

[tex]= 2\pi y \sqrt{2}\ dx$$[/tex]

The total volume is obtained by integrating from 0 to 2: [tex]$$V = \int_0^2 2\pi y \sqrt{2}\ dy$$[/tex]

Volume of the solid obtained by rotating the region bounded by curve y = 2xe⁻ˣ, y = 0, x = 2 about y-axis.

To know more about volume of the solid, refer

https://brainly.com/question/20284914

#SPJ11

Answer:

I think its 95. I'm probably wrong

Answer:

8lb

Step-by-step explanation:

6+5+9=20

28-8=20

28/4=7

average=mean

Answer:

a) Finding value of y:

8y+4+4y+7=107

12y+11=107

12y =107-11

12y =96

y = 96/12

y = 8

b) RS= 8y+4

= 8(8)+4

= 64+4

= 68

ST= 4y+7

= 4(8)+7

= 32+7

= 39

The statement "If t, v, w € R³ such that vi. w, then v = w" is false. A counter-example can be provided to show that there exist vectors v and w in R³ such that their dot product is zero but v is not equal to w. The statement remains false even if we specify i = 0.

To prove that the statement is false, we can provide a counterexample. Let v = (1, 0, 0) and w = (0, 1, 0). Both v and w are vectors in R³. The dot product of v and w is given by v · w = (1)(0) + (0)(1) + (0)(0) = 0. However, v is not equal to w, so the statement "vi. w implies v = w" is false.

Even if we specify i = 0, the statement remains false. For example, consider v = (1, 0, 0) and w = (0, 0, 1). The dot product of v and w is still zero (v · w = 0), but v is not equal to w. Therefore, specifying i = 0 does not change the result.

In conclusion, the statement "If t, v, w € R³ such that vi. w, then v = w" is false. A counterexample can be provided to demonstrate that the statement does not hold true. Additionally, specifying i = 0 does not change the fact that the statement is false.

Learn About dot product here:

https://brainly.com/question/30404163

#SPJ11

Answer:

t4

Step-by-step explanation:

Exponents is basically multiplication. So, if you need to find how much it costs for 4 students then you will multiply tx4.

Answer:

The Gonzales family used the water sprinkler for 20 hours

The Brown family used the water sprinkler for 35 hours

Step-by-step explanation:

Let represent

Number of hours that the Gonzales family used the water sprinkler = x

Number of hours that the Brown family used the water sprinkler = y

The families used their sprinklers for a combined total of 55 hours

Hence,

x + y = 55 ...... Equation 1

x = 55 - y

The water output rate for the Gonzales family sprinkler was 35 L per hour.

35L × x = 35x

The water output rate for the brown family's sprinkler was 30 L per hour.

30L × y = 30y

The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1750 L.

Hence, we have:

35x + 30y = 1750..... Equation 2

Substitute x = 55 - y in Equation 2

35(55 - y) + 30y = 1750

1925 - 35y + 30y = 1750

Collect like terms

1925 - 1750 = 35y - 30y

175 = 5y

y = 175/5

y = 35 hours

Since:

x = 55 - y

x = 55 - 35

x = 20 hours

Since Number of hours that the Gonzales family used the water sprinkler = x,

The Gonzales family used the water sprinkler for 20 hours

Since number of hours that the Brown family used the water sprinkler = y,

Hence, the Brown family used the water sprinkler for 35 hours

Answer:

-135

Step-by-step explanation:

tn=ar^n-1

   =5*(-3)^4-1

    =5*(-3)^3

     =-135

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

To know more about confidence intervals, refer here:

https://brainly.com/question/32546207#

#SPJ11