Determine where, if anywhere, the tangent line to
f
(
x
)
=
x
3
−
5
x
2
+
x
is parallel to the line
y
=
4
x
+
23
.

Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

Answer:

15feet squared

Step-by-step explanation:

Area= Length x height

= 5x3

= 15feet squared

Answer:

Let's work out the intercepted points:

-4x + 8 = -3x^2 + 5x + 2

<=>

3x^2 - 9x + 6 = 0

<=>

x^2 - 3x + 2 = 0

<=>

(x - 1)(x - 2) = 0

<=>  

x = 1 => y = -4 x 1 + 8 = 4 => A(1, 4)

and

x = 2=> y = -4 x 2 + 8 = 0 =>B(2, 0)

Then, length of chord AB is calculated by:

L = sqrt [(2 - 1)^2 + (0 - 4)^2)] = ~4.123

The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.

The given order is;

1/3 , 3/4 , 5/12 ,2/8​

Write the values in the decimal forms;

0.33, 0.75, 0.416, 0.25.

Now arrange the sequence is the ascending order;

0.25, 0.33, 0.416, 0.75

Again transform them in fraction form;

2/8 < 1/3 < 5/12 < 3/4

Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Step-by-step explanation:

Patrick Company expects to generate free-cash of $120,000 per year forever. If the firm's required return is 12 percent, the market value of debt is $300,000, the market value of preferred stock is $70,000, and the company has 100,000 shares of stock outstanding. What is the value of Patrick's stock

Answer: E. The shoe sizes of all shoes on sale at a department store

Step-by-step explanation:

Continuous variable is defined as:

Here, All the options from A to D are discrete variables that are countable.

Only option E. is describing the measure as size of the shoe.

Hence, "The shoe sizes of all shoes on sale at a department store" is describing a continuous variable.

So, the correct option is "E".

Using the concept of discrete and continuous variables, the correct option is:

с  The diameters of the tree trunks at an evergreen farm

---------------------------------------

Variables are classified as either discrete or continuous.

---------------------------------------

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Answer:

3+5^2 = 28

Step-by-step explanation:

The answer to the expansion of the expression, 3+5^2 is 28

An expansion of an expression is the evaluation of the expression to its simplest form

Given:

3+5^2

= 3 + 5²

= 3 + (5 × 5)

= 3 + 25

= 28

Therefore, answer to the expansion of the expression, 3+5^2 is 28

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Answer:

$211.9

Step-by-step explanation:

77 MARKERS x 0.70 EACH = 53.9

30 RULERS x 1.95 EACH = 58.5

1 projector x 99.95 = 99.95

53.9 + 58.5 + 99.95 = $211.9

Answer: She spent $212.35

Step-by-step explanation:

77 markers for $0.70 each. 30 rulers for $1.95 each, and a projector for 99.95.

Multiply 77 by 0.70 giving you $53.90 spent on markers.

Then multiply 30 by 1.95 giving you $58.50 spent on rulers.

Add these totals to the cost of the projector and get a grand total of 212.35.

For brevity, let

\(S_i = \displaystyle \sum_{k=1}^n \frac1{\sqrt[i]{k}}\)

Rewrite the limit as

\(\displaystyle \lim_{n\to\infty} \frac{{S_5}^{\frac23}}{{S_3}^{\frac45}} = \lim_{n\to\infty} \frac{n^{\frac23} \left(\frac{S_5}n\right)^{\frac23}}{n^{\frac45} \left(\frac{S_3}n\right)^{\frac45}} = \lim_{n\to\infty} \frac1{n^{\frac2{15}}} \times \frac{\left(\lim\limits_{n\to\infty}\left(\frac1n S_5\right)\right)^{\frac23}}{\left(\lim\limits_{n\to\infty}\left(\frac1n S_3\right)\right)^{\frac45}}\)

The two limits involving S are equivalent to definite integrals,

\(\displaystyle \lim_{n\to\infty} \frac1n S_i = \lim_{n\to\infty} \frac1n \sum_{k=1}^n \frac1{\sqrt[i]{\frac kn}} = \int_0^1 \frac1{\sqrt[i]{x}} \, dx = \frac i{i-1}\)

Then the end result is

\(\displaystyle 0 \times \frac{\left(\frac54\right)^{\frac23}}{\left(\frac32\right)^{\frac45}} = \boxed{0}\)

Answer:

try 2to4 let me see or if it's wrong correcte

Answer:10:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

\({{correct me if i am wrong}}}\)

Answer:

3) 49*x^2*y^2

4) x

5) 1

6) 8

Step-by-step explanation:

3).  ( 7xy)^2

=. 7^2 * x^2 * y^2

= 49*x^2*y^2

4). x^3 / x^2

=  x

5). 7^0

=.  1

6). 8x^0

= 8

With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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1. 3 Gallons per minute

2. 3 gallons per minute

The unit rate is 3 gallons.

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

Answer:

21 + x = 70

Step-by-step explanation:

Since we do not know delia's height, you would mark it as x! sum means add, so 21 + x = 70!

This question was a little simple, so I'm sorry for the lack of an explanation, but I'm here if you need more help!!

Answer:

(-3, -0.5)

first put the points, then just draw the line that goes throw that row of dots.

Step-by-step explanation:

so this isnt very complicated, you need to put the points on the coordinate plane (the grid) and find where they meet coordinates (written starting with the x and ending with the y are written like this: (x,y))

go to the bottom line (x axis) and find the number in the x row on the page, then take the vertical line and go until the two ends meet,repeat that until there are no more coordinates to graph on the left box draw a straight line for all of the coordinates do the same with the other box drawing a line whre the other coordinates. if done right the lines should intersect, and the intersecting point is the answer

Answer:

heyyyyyyytyyyyyyy

Step-by-step explanation:

meeeeeeeeeeeeeeeeeweweewe

Answer:

Hey I m first....!!!!!!

Answer:

A

Step-by-step explanation:

Reflecting y = f(x) across the x- axis, gives

y = - f(x)

Given

y = - 3sinx , then under a reflection in the x- axis

y = - (- 3sinx) = 3sinx → A

A  y=3sin x    

x-axis results in a function with equation

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

The solutions of the quadratic equation x³+ 16x -3x² = 48 are 3, –4i, 4i

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation.

We are given the quadratic equation as;

x³+ 16x -3x² = 48

Subtract 48 from both sides;

x³+ 16x -3x² - 48= 48 -48

x³+ 16x -3x² - 48= 0

Factor left side of equation.

(x - 3)( x² + 16) = 0

Therefore, the roots are 3, –4i, 4i

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Answer:

508-100p

Step-by-step explanation:

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

The dimensions of your mowing plot if x = 13 meters is;

Length = 31 meters

Width = 36 meters

We are told that Your plot has a length which is five more than two times x and the width is three less than three times x

This means that, the length given as words is "5 more than 2 times x" and the width given as words is "3 times x minus 3"

The expression for length would be  2x + 5

The expression for width would be 3x - 3

Now, if x = 13 meters, then we see that;

Length = 2(13) + 5 = 31 meters

Width = 3(13) - 3 = 36 meters

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

The value of f(g(7)) is 20

The functions are given as:

f(x) = x^2 + x

g(x) = x - 3

Start by calculating g(7)

g(7) = 7 - 3

Evaluate

g(7) = 4

So, we have:

f(g(7)) = f(4)

Substitute 4 for x in f(x) = x^2 + x

f(4) = 4^2 + 4

Evaluate

f(4) = 20

Hence, the value of f(g(7)) is 20

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Answer:

3n +6n-4=2n+2+5n

9n-4=7n+2

9n-7n=2+4

2n=6

n=6÷2

n=3