in induction, you look for a pattern and then form an educated guess or?

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Answer:

Correct choice is B

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

[tex]A \to Amount[/tex]

[tex]t \to time[/tex]

Given

[tex]A(0) = 200[/tex] --- initial

[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes

Required

[tex]A(10)[/tex] --- amount left after 5 minutes

To do this, we make use of:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(5) = 160[/tex] implies that:

[tex]160 = 200 * e^{k*5}[/tex]

Divide both sides by 200

[tex]0.80 = e^{k*5}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.80) = \ln(e^{k*5})[/tex]

[tex]\ln(0.80) = \ln(e^{5k})[/tex]

[tex]\ln(0.80) = 5k\ln(e)[/tex]

So, we have:

[tex]-0.223 = 5k[/tex]

Divide by 5

[tex]k = -0.045[/tex]

So, the function is:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(t) = 200 * e^{-0.045t}[/tex]

The amount after 10 minutes is:

[tex]A(10) = 200 * e^{-0.045*10}[/tex]

[tex]A(10) = 200 * e^{-0.45}[/tex]

[tex]A(10) = 127.53[/tex]

Answer:

3/6=1/2

Step-by-step explanation:

There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6

Therefore, the probability of rolling an even number is 3/6 or 1/2.

Answer:

d. employed individuals aged 25-29

Step-by-step explanation:

"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.

It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.

The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.

Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Answer:

Es el 60%

Step-by-step explanation:

Answer:

59.44

Step-by-step explanation:

Nine employees If an electronic company retired last year

The retirement ages are listed below

56, 65, 62, 53, 68, 58, 65, 52, 56

The mean retirement age can be calculated as follows

= 56+65+62+53+68+58+65+52+56/9

= 535/9

= 59.44

Hence the mean retirement age is 59.44

Answer:

acute triangle

if i m wrong please dont mind and

correct me

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

Answer:

6:8

Step-by-step explanation:

6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

jkwlw44444

Answer:

Step-by-step explanation:

1

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Answer:

1/6

Step-by-step explanation:

For Omar to drive, he has to get a six when a die is rolled ;

The probability that Omar will get to drive his car is :

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6)

P(rolling a 6) = required outcome / Total possible outcomes

P(rolling a 6) = 1/6

Probability of Omar driving his car is 1/6

Answer:

t think the answer is 1040.

Answer:

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.

This means that [tex]\mu = 55, \sigma = 15[/tex]

What proportion of women have HDL below 45 mg/dl or less?

This is the p-value of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 55}{15}[/tex]

[tex]Z = -0.67[/tex]

[tex]Z = -0.67[/tex] has a p-value of 0.2514

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Answer:

[tex](f-g)(x)=x^2-4x-21[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(x^2-3x-28)-(x-7)[/tex]

Distribute:

[tex]=x^2-3x-28-x+7[/tex]

Rearrange:

[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]

Hence:

[tex](f-g)(x)=x^2-4x-21[/tex]

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

9514 1404 393

Answer:

  103

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so the measure of x° is ...

  x° = 360° -127° -90° -40° = 103°

  x = 103

Answer:

The measure of x is 103 °.

Step-by-step explanation:

Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.

Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.

We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =

x + 127 ° + 90 ° + 40 ° = 360 °

x + 257 ° = 360 °

Subtract 257 ° from 360 °

x = 360 ° - 257 °

x = 103 °

Therefore, The measure of x is 103 °.

Answer:

Domain: [tex][3,\infty)[/tex]

Range: [tex][6,\infty)[/tex]

Step-by-step explanation:

I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?

Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.

Therefore, the domain of the function is [tex][3,\infty)[/tex]

As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.

Therefore, the range of the function is [tex][6,\infty)[/tex]

See attached graph below for a visual.

Answer:

The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Step-by-step explanation:

Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:

5X + 7 x (X + 8.50) = 245.50

5X + 7X + 59.50 = 245.50

12X + 59.50 = 245.50

12X = 245.50 - 59.50

12X = 186

X = 186/12

X = 15.50

Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

fine ,it is a A ok,I am sorry for using rude words on you

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6