PLEASE EXPLAIN TOO SO I CAN SOLVE OTHER SIMILAR ONES.
What is the measure of angle x? Explain how you know.

The domain of the given graph is (-4,4]

The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values.

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

Hence from the graph we get the domain as   (-4,4]

Learn more about Domain here:

brainly.com/question/26098895

#SPJ9

Answer:

1.5

Step-by-step explanation:

1hour and 30 mins = 90 mins

60miles:90mins  that is the ratio

90/60=1.5miles per minute

i think this is the right answer

pls let me know and i hope it helps

Answer:

The answer is 59 & 79

Step-by-step explanation:

59+79=138

79-20=59

59+20=79

Vote me brainliest PLEASE

Answer:

59+79=138

Step-by-step explanation:

59+79=138

Hope this helps!!

The radius of the circle is 17 inches. The included angle is 220°.We are to find the length of the arc having a 17 inch radius and an included angle of 220 degrees.

Let's first find the circumference of the circle having a radius of 17 inches.Circumference of a circle is given by the formula;C=2πrSubstituting the given value of radius, r = 17 inches in the above equation, we get;

C=2πr

=2π(17)

= 34π inches

Now let's find the length of the arc that subtends the angle 220° on a circle whose radius is 17 inches.The formula for finding the length of the arc is given by;

L = θ/360° × 2πr

WhereL = length of the arc.θ = angle in degrees subtended by the arc. (i.e., 220° in our case)r = radius of the circle. (i.e., 17 inches in our case).Substituting the given values of the angle θ and radius r in the above equation, we get;

L = θ/360° × 2πr

=220/360° × 2π(17)

≈66.91 inches

Therefore, the length of the arc having a 17 inch radius and included angle of 220 degrees is approximately 66.91 inches (rounded to two decimal places).

For more information on Circumference visit:

brainly.com/question/28757341

#SPJ11

Any number of angles that add up to 180 are supplementary. Since a 180 degree angle is a straight line, these two angles, which lie on a straight line are supplementary.

Answer:

-4/8 or -1/2

Step-by-step explanation:

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

2-6 = -4

9-1 = -8

The resulting equation after the elimination of 'a' or 'b' is 120.

To find the resulting equation when elimination is used to solve the given system of equations, we need to follow the steps for elimination method.

Given system of equations are:

10a = 60 ------> Equation 1

10b = 60  ------> Equation 2

–10a = 60  ------> Equation 3

–10b = 60  ------> Equation 4

We need to eliminate either 'a' or 'b' variable from the given system of equations. Since the coefficient of 'a' in equation 1 and equation 3 are same but of opposite signs, we can add them to eliminate 'a'.

Similarly, adding equation 2 and equation 4 can eliminate 'b'.

Adding equation 1 and equation 3:

10a + (-10a) = 60 + 60

(–10a) + 10a = 120

0 = 120

This is a resulting equation after the elimination of 'a'.

Adding equation 2 and equation 4:

10b + (-10b) = 60 + 60

(–10b) + 10b = 120

0 = 120

This is a resulting equation after the elimination of 'b'.

Hence, the resulting equation after the elimination of 'a' or 'b' is 120.

Elimination method: https://brainly.com/question/25427192

#SPJ11

Answer:

The penguins swan 2 2/5 miles in one hour

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

180-148=32

12=32-x/2

32-x=24

x=8

Answer:

  U = 126°

Step-by-step explanation:

Assuming the figure is a parallelogram, opposite angles are congruent, and adjacent angles are supplementary.

  V = T

  10x -6 = 8x +6 . . . . substitute for V and T

  2x = 12 . . . . . . . . . add 6-8x

  x = 6 . . . . . . . . . divide by 2

Then V = 10(6)-6 = 54, and U is ...

  U = 180° -54°

  U = 126°

120 sq.un

Here given the following,

we would need to survey approximately 71 graduates to estimate the mean amount of charitable test contributions made by graduates with a maximum error of $70 and a confidence level of 98%.

a) To estimate the percentage of graduates who made a donation to the college after graduation with a margin of error of 3.25 percentage points and a confidence level of 93%, we need to determine the required sample size.

The formula to calculate the required sample size for estimating a population proportion is:

n = (Z^2 * p * (1 - p)) / E^2

where:

- n is the required sample size

- Z is the Z-score corresponding to the desired confidence level (in this case, for a 93% confidence level, Z ≈ 1.81)

- p is the estimated proportion of graduates who made a donation (we can assume p = 0.5 to be conservative and maximize the sample size)

- E is the desired margin of error as a proportion (in this case, 3.25 percentage points = 0.0325)

Plugging in the values, we have:

n = (1.81^2 * 0.5 * (1 - 0.5)) / 0.0325^2

n ≈ 403.785

Therefore, we would need to survey approximately 404 graduates to estimate the percentage of graduates who made a donation with a margin of error of 3.25 percentage points and a confidence level of 93%.

b) To estimate the mean amount of charitable test contributions made by graduates with a maximum error of $70 and a confidence level of 98%, we need to determine the required sample size.

The formula to calculate the required sample size for estimating a population mean is:

n = (Z^2 * σ^2) / E^2

where:

- n is the required sample size

- Z is the Z-score corresponding to the desired confidence level (in this case, for a 98% confidence level, Z ≈ 2.33)

- σ is the standard deviation of donations by graduates ($380 in this case)

- E is the maximum error (in this case, $70)

Plugging in the values, we have:

n = (2.33^2 * 380^2) / 70^2

n ≈ 70.74

To know more about mean visit:

brainly.com/question/31101410

#SPJ11

Answer:

L=2v/n -c n and -c is seperated.

Answer:

Kayla ended up multiplying instead of dividing

Step-by-step explanation:

If Kayla works out (223) (-173) She will end up multiplying since she didn't include the division symbol.

it can be concluded that the population standard deviation is within or less than 12.

To construct a hypothesis test to determine whether the population standard deviation of σ≦12 should be rejected for Costco, we can use a chi-square test for variance.

Step 1: State the null and alternative hypotheses:
- Null hypothesis (H₀): σ ≤ 12
- Alternative hypothesis (H₁): σ > 12

Step 2: Determine the level of significance (α = 0.05) and degrees of freedom (df = n - 1 = 11 - 1 = 10).

Step 3: Calculate the test statistic:
- χ² = (n - 1) * (s² / σ²) = 10 * (11.3² / 12²) = 10 * 0.94 = 9.4

Step 4: Determine the critical value:
- The critical value at α = 0.05 with df = 10 is χ²ₐ = 18.307

Step 5: Compare the test statistic with the critical value:
- Since χ² = 9.4 < χ²ₐ = 18.307, we fail to reject the null hypothesis.

Step 6: Conclusion:
- Based on the given sample data, there is not enough evidence to reject the hypothesis that the population standard deviation of σ≤12 for Costco.

Therefore, it can be concluded that the population standard deviation is within or less than 12.

Learn more about hypothesis from the following link:

https://brainly.com/question/606806

#SPJ11

He drove the truck 2.13 miles

total expense = $172.18.

There was a base fee of $20.95, and there was an additional charge of 71 cents for each mile driven.

From the question, we have

$172.18 = $20.95 + 71x

71x = 151.23

x = 2.13

He drove the truck 2.13 miles.

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ1

The next day Patsy have t choose between cheerleading and play practice is 17th September

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

Learn more on Lowest common multiple at:

https://brainly.com/question/16054958

#SPJ1

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Learn more about conversion here:

https://brainly.com/question/16851332

#SPJ1

The concentrated load that the footing can carry based on beam action is 84.75 kN.

The concentrated load that the footing can carry based on two-way action is 84.75 kN.

The column axial load (unfactored) that the footing can carry is 1207.5 kN.

1. Calculate the weight of the column:

Weight of column = Volume of column x Unit weight of concrete

So, Volume of column = Length x Width x Depth

= 0.50 m x 0.50 m x 2.0 m = 0.5 m³

and, Weight of column = 0.5 m^3 x 23.5 kN/m^3 = 11.75 kN

2. Weight of soil = Volume of soil x Unit weight of soil

so, Volume of soil = Length x Width x Depth

= (2.0 m + 0.6 m) x 3.0 m x 0.6 m = 4.56 m³

and, Weight of soil = 4.56  x 16 kN = 73.0 kN

3. Calculate the total weight on the footing:

Total weight

= Weight of column + Weight of soil

= 11.75 kN + 73.0 kN = 84.75 kN

Therefore, the concentrated load that the footing can carry based on beam action is 84.75 kN.

b. 1. Bending moment (length direction) = (Total weight x Length) / 2

= (84.75 kN x 3.0 m) / 2 = 127.125 kNm

2. Bending moment (width direction) = (Total weight x Width) / 2

= (84.75 kN x 2.0 m) / 2 = 84.75 kNm

The smaller of these two bending moments will govern the design.

Therefore, the concentrated load that the footing can carry based on two-way action is 84.75 kN.

c. 1. Effective area = Length x Width - Area of column

So, Area of column = Length of column x Width of column

= 0.50 m x 0.50 m = 0.25 m²

and, Effective area = (2.0 m x 3.0 m) - 0.25 m² = 5.75 m²

2. Column axial load = Allowable soil pressure x Effective area

= 210 kPa x 5.75 m² = 1207.5 kN

Therefore, the column axial load (unfactored) that the footing can carry is 1207.5 kN.

Learn more about Area here:

https://brainly.com/question/33588296

#SPJ4

Bob Sparkle is mixing up batch of Nuclear Fizz punch. He combines cranberry juice and soda water in a ratio of 3 to 5. he will require 22.8 fl oz of cranberry juice should to mix with 38 fl oz of soda wate

The ratio Bob Sparkle is mixing up batch of Nuclear Fizz punch is

The ratio of cranberry juice = 3

the ratio of soda water = 5

Using the ratio

5 ⇒ 38 fl oz

3 ⇒ ?

cross multiplying gives

5 * ? = 3 * 38

? = 3 * 38 / 5

? = 114 / 5

? = 22.8 fl oz of cranberry juice

Learn more on  mixing of cranberry juice here:

https://brainly.com/question/17045444

#SPJ1

The rotated trapezoid ABCD is:A' (0, 4)B' (-2, -3)C' (-2, -2)D' (0, 3)

To rotate the figure 90° counterclockwise, the rule is to swap the x and y-coordinates and negate the new x-coordinate.

This is also known as a clockwise rotation of 270 degrees.

A trapezoid is a geometric shape that is four-sided and has only one pair of parallel sides.

It is also known as a trapezium in British English.

A line that connects the non-parallel sides is known as a diagonal.

A trapezoid with point A (0, -4) can be rotated 90 degrees counterclockwise about the origin (0, 0) using the rule of rotating x and y coordinates.

This rule can be expressed in the following manner: (x, y) -> (-y, x)Where x is the original x-coordinate and y is the original y-coordinate.

This rule is known as a counter-clockwise rotation of 90 degrees. When using this rule, you can create a new coordinate set by replacing x with -y and y with x.

In order to find the new coordinates of the trapezoid after a 90° counterclockwise rotation, you can follow these steps:

Substitute x with -y and y with x.

A (-4, 0) becomes A' (0, 4).Substitute x with -y and y with x.

B (-3, 2) becomes B' (-2, -3).Substitute x with -y and y with x.

C (2, 2) becomes C' (-2, -2).Substitute x with -y and y with x.

D (3, 0) becomes D' (0, 3).

For more questions on rotated trapezoid:

https://brainly.com/question/27910530

#SPJ8

Answer:

8% annual

Step-by-step explanation:

first find the rate of 1 year. 960/3 = 320.

then find what % of 4,000, 320 is.

8%

a) We have -2/(k - 1) = -5/3. Solving this equation, we find k = 19. b) Setting -2/(k - 1) equal to -5/2, we get -2/(k - 1) = -5/2. Solving this equation, we find k = 11/3, which is a simplified fraction.

a. To determine the slope of the line 5x + 3y = 6, we can rewrite it in slope-intercept form: y = (-5/3)x + 2. Comparing this equation with the general form y = mx + c, we can see that the slope of the line is -5/3. For two lines to be parallel, their slopes must be equal. The line passing through (1, 4, -1) and (k, 2, 2) can be represented as (x - 1)/(k - 1) = (y - 4)/(2 - 4) = (z + 1)/(2 - (-1)). By considering any two coordinates and applying the slope formula, we can find the slope of this line as (2 - 4)/(k - 1) = -2/(k - 1). Equating it to the slope of the parallel line, -5/3, we have -2/(k - 1) = -5/3. Solving this equation, we find k = 19.

b. To determine the slope of the line 2x - 5y = -3, we can rewrite it in slope-intercept form: y = (2/5)x + 3/5. Comparing this equation with the general form y = mx + c, we can see that the slope of the line is 2/5. For two lines to be perpendicular, the product of their slopes must be -1. The line passing through (1, 4, -1) and (k, 2, 2) can be represented as (x - 1)/(k - 1) = (y - 4)/(2 - 4) = (z + 1)/(2 - (-1)). By considering any two coordinates and applying the slope formula, we can find the slope of this line as (2 - 4)/(k - 1) = -2/(k - 1). We need the negative reciprocal of 2/5, which is -5/2. Setting -2/(k - 1) equal to -5/2, we get -2/(k - 1) = -5/2. Solving this equation, we find k = 11/3, which is a simplified fraction.

learn more about slope-intercept form here: brainly.com/question/29146348

#SPJ11

The number -17/20 belongs to the set of real numbers.

What is the set of real numbers?

The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. Real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

All real numbers, including fractions and decimals, are part of the set of real numbers.

The set of real numbers includes all numbers that can be expressed on the number line, including positive and negative numbers, as well as all fractions and decimals.

This set is often denoted by the symbol "ℝ".

Hence, The number -17/20 belongs to the set of real numbers.

To learn more about the set of real numbers visit,

https://brainly.com/question/155227

#SPJ1

To calculate the input impedance (zi) for a FET amplifier, we need specific information such as the drain current (ID) and the FET parameters. Without these values, we cannot provide an exact calculation.

However, I can explain the general approach to calculating the input impedance of a FET amplifier.

Determine the transconductance (gm) of the FET:

The transconductance (gm) represents the relationship between the change in drain current and the corresponding change in gate voltage. It is typically provided in the FET datasheet.

Calculate the drain-source resistance (rd):

The drain-source resistance (rd) is the resistance between the drain and source terminals of the FET. It also depends on the FET parameters and can be obtained from the datasheet.

Calculate the input impedance (zi):

The input impedance of a FET amplifier can be calculated using the formula:

zi = rd || (1/gm),

where "||" denotes parallel combination.

If you have the values for rd and gm, you can substitute them into the formula to obtain the input impedance.

Keep in mind that the input impedance can vary with the biasing conditions, the specific FET model, and the operating point of the amplifier. So, it's important to have accurate and specific values to calculate the input impedance correctly.

If you provide the necessary information, such as the drain current (ID) and the FET parameters, I can help you with the calculation.

To know more about impedance visit-

brainly.com/question/20493866

#SPJ11

Answer:

To find the annual salary of one employee, you need to divide the total monthly salary by the number of employees and then multiply by 12 to get the annual salary.

Here's the step-by-step process:

Divide the total monthly salary by the number of employees: 710582 / 157 = 4550.85

Multiply the result by 12 to get the annual salary: 4550.85 * 12 = Rs. 54610.20

So, the annual salary of one employee is Rs. 54610.20.

Step-by-step explanation:

Answer:

D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.

Step-by-step explanation:

For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.

The difference :

t2 - t1 = time with rap music - time with country music.

The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).

The equation of a line that is perpendicular and passing through a point is  y = -1/m + (y1 + x1/m).

Let y = mx + b be the perpendicular line and (x1,y1) be the point.

slope of y = mx + b is:

= m

we know that,

perpendicular slope = -1/m

substitute m and (x1,y1)

y1 = -1/m(x1) + b

y1 + x1/m = b

substitute b value in y = -1/m + b.

y = -1/m + (y1+x1/m)

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ4