Determine the intercepts of the line.

Answer:

B

Step-by-step explanation:

Make 4 \(\frac{2}{5}\) an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get \(\frac{22}{5}\) . If you divide that by \(\frac{2}{5}\) , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.

Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

25/28

Step-by-step explanation:

Answer:450.61

Step-by-step explanation:

Answer: b. 11.234

Step-by-step explanation:

used ti84

put in values in list 1

go into 1-var stats

find Sx which is the stand dev for sample

Answer:

0.06944444444

Step-by-step explanation:

Answer:

Answer by Yi Jing

Step-by-step explanation:

Answer:

19/8 or 2 3/8 pounds

Step-by-step explanation:

1/2 is equal to 4/8 and 4/8 x 2 = 8/8

3/8 x 3 equals 9/8

1/4 is equal to 2/8

8/8 + 9/8 + 2/8 = 19/8

if you simplify 19/8, you get 2 and 3/8

you can also type 19/8 in a calculator for a decimal value of 2.375

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The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer: C.5.60 miles

Step-by-step explanation:

I don’t know the explanation but I got it correct on a test that I was taking...

Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,

Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.

The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour

Since, the speed is same on Thursday,

So the speed on Thursday = 5.6 miles per hour

The distance covered in 1 hour = 5.60 miles.

Hence, option (C) is correct.

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Answer:

hello some parts of your question is missing attached below is the missing part

"Class A" Class B Class C

  111  120  107

 75   96    93

 109  112  89

 101   89    117

 102  103  82

  81   112   64

  103  98  107

  87   101  101

  88  82   114

answer :  a) Test statistic  = 0.46

                b) p-value = 0.64

Step-by-step explanation:

A) To calculate the Test statistic ; use excel software

steps involved :

i) import Data, ii) choose Anova; single factor

iii) choose input range and column in groups iv) choose output range

attached below is the table

b ) calculate the P -value

P-value = 0.64

Answer:

The average speed here is 60 mph.

Step-by-step explanation:

We need to express the unit rate here.  That's the speed, which is defined as (distance) / (time):

                       1 mile

speed s(t) = ----------------

                       t (min)

We need to convert the unit of time (min) to the new unit of time (hrs):

                       1 mile           60 min

speed s(t) = --------------- * -------------- = 60 miles/hr = 60 mph

                       t (min)             1 hr

The average speed here is 60 mph.  This is not dependent on time, t, so we cannot calculate s(10) or s(12).  Because of this, s(t) = 60 mph.  The distance traveled in t hours is d(t) = s(t)*t.

Answer:

y/2

Step-by-step explanation:

x/3 + 3/3 = y/2 + 2/2

x/3 + 1 = y/2 + 1

x/3 = y/2

Answer:

5.21

Step-by-step explanation:

Got it right on edg

Answer:

B) 5.21°

Step-by-step explanation:

got it right on edge :)

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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Answer:

11.

Step-by-step explanation:

The value of the numerical expression 6 – [(4 + 20 × (–2) ÷ 4) + 1] will be 11.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 6 – [(4 + 20 × (–2) ÷ 4) + 1]

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ 6 – [(4 + 20 × (–2) ÷ 4) + 1]

⇒ 6 – [(4 – 40 ÷ 4) + 1]

⇒ 6 – [(4 – 10) + 1]

⇒ 6 – [–6 + 1]

⇒ 6 – [–5]

⇒ 6 + 5

⇒ 11

The value of the numerical expression 6 – [(4 + 20 × (–2) ÷ 4) + 1] will be 11.

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Part 1:

4(x+y=8)

4x+4y=32.

Part 2:

2x=10. (y would cancel itself out)

Part 3:

2y=6. (x would cancel itself out)

Part 4:

3(2x=10) (y would cancel itself out)

6x=30.

Answer:

-7/2 or 2 are inputs that give 19 as output.

Step-by-step explanation:

The problem gives us a quadratic function \(\displaystyle \large{f(x)=2x^2+3x+5}\). When its output is 19, we want to know the input value(s).

Since an output which is f(x) = 19. Therefore:

\(\displaystyle \large{19=2x^2+3x+5}\)

Rearrange the expression in quadratic equation.

\(\displaystyle \large{0=2x^2+3x+5-19}\\\\\displaystyle \large{0=2x^2+3x-14}\\\\\displaystyle \large{2x^2+3x-14=0}\)

Factor the expression.

\(\displaystyle \large{(2x+7)(x-2)=0}\)

Solve like linear equation which we get:

\(\displaystyle \large{x=-\dfrac{7}{2}, 2}\)

If you input these x-values in the function, you will get 19 as the output which satisfies the condition.

Hence, inputs are -7/2, 2

Answer:

\(x=2, \quad x=-\dfrac{7}{2}\)

Step-by-step explanation:

Set the function to 19:

\(\implies 2x^2+3x+5=19\)

Subtract 19 from both sides:

\(\implies 2x^2+3x-14=0\)

To factor a quadratic in the form \(ax^2+bx+c\)

Find two numbers that multiply to \(ac\) and sum to \(b\):  7 and -4

Rewrite \(b\) as the sum of these two numbers:

\(\implies 2x^2-4x+7x-14=0\)

Factorize the first two terms and the last two terms separately:

\(\implies 2x(x-2)+7(x-2)=0\)

Factor out the common term (x - 2):

\(\implies (2x+7)(x-2)=0\)

Therefore the function's input values that when evaluated give a value of 19 are:

\((2x+7)=0 \implies x=-\dfrac{7}{2}\)

\((x-2)=0 \implies x=2\)

Answer:

n + 45

Step-by-step explanation:

The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.

Hope this helps.

Answer:

5/6

Step-by-step explanation:

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Answer:

2x - 19 + x + 4

Step-by-step explanation:

2x - 19 + x + 4

Answer:

approximately normal

Step-by-step explanation:

khan academy

The shape of the sampling distribution is approximately normal. Therefore, option C is correct.

When the Normal distribution can be used to approximate a distribution, that distribution is said to be nearly Normal. This often happens as a distribution's sample size or component count increases.

According to the Central Limit Theorem, the sample mean is roughly normally distributed regardless of the population's distribution as long as the sample is "big," defined as having a size of 30 or more.

78% of 400,000 people are native Spanish speakers. When a politician took monthly random samples of 75 people in the community who speak Spanish, then the sampling distribution will be an approximately normal distribution. Hence, option C is correct.

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Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

Answer: $227,800

Step-by-step explanation:

The answer is $227,800, since a electrician would earn $11,390 more than a social worker each year. Therefore, over a 20 year career, they would earn a total of $227,800 more than a social worker.