H - 6 is less than or equal to -8.4. What is the solution and then how would u graph it?

Answer: Last one

Step-by-step explanation:

Answer:

D.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2 to the 4th power is 16, but I don't know what B is?

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates,  which makes it a rational number

The probability of heads is 3/4, and the probability of tails is 1/4. Let í be the number of dollars that you receive, which is a random variable. If it comes up heads, you will receive $1, and if it comes up tails, you will receive $2.

Thus, the possible values of í are 1 and 2.The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

Where xi is the ith possible value of í, and Pi is the probability of xi. The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

For this example, the possible values of í are 1 and 2. The probability of heads is 3/4, and the probability of tails is 1/4. Therefore, we can calculate the expected value of í as follows:

\(E(i) = (1) \cdot \frac{3}{4} + (2) \cdot \frac{1}{4}\)

\(= \frac{3}{4} + \frac{2}{4}\)

\(= \frac{5}{4}\)

Thus, the expected value of í when the biased coin is flipped once is $1.25.

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The value of width 'w' of rectangular prism with l = n/a, h = n/a, v = n/a is given by, w = a/n.

We know that the volume of rectangular prism with length L and width W and Height H is given by,

V = L*W*H

Given that the Height of the rectangular prism, h = n/a

Length of the rectangular prism, l = n/a

Volume of the rectangular prism, v = n/a

let the width of the rectangular prism be 'w'.

So from the volume formula we get,

v = lwh

n/a = (n/a)*w*(n/a)

n/a = (n/a)²*w

w = (n/a)/(n/a)² = (n/a)*(a/n)² = a/n

Hence the value of w is a/n.

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Answer:

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

 let the almond be x pounds

and the peanuts be y pounds

so

x+y=1.6--------1

5.5x+2.5y=6.75---2

let us multiply both eqn 1 by 5.5 to to eleminate x

and subtract eqn 2 from the new eqn

  5.5x+5.5y=8.8-----3

 -5.5x+2.5y=6.75---2

   0+3x=2.05

divide both sides by 3 we have

x=2.05/3

x=0.68 pound

put x=0.68 in eqn 1 we have

0.68+y=1.6

y=1.6-0.68

y=0.91 pounds

Alicia gets $2.50*0.91= $2.275

Sarah gets  $5.50 *0.68=$3.74

The measure of each of the acute angles of the right triangle is 32° and 58°.

A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).

Let x = measure of one of the acute angles

If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then

measure of the other acute angle = 2x - 6

The sum of all the angles of any triangle is equal to 180°. Hence,

90° + x + 2x - 6 = 180°

Solve for the value of x.

3x = 96

x = 32

Solve for the measure of the other acute angle.

2x - 6 = 2(32) - 6 = 58

Hence, the two angles are 32° and 58°.

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Answer:

15

Step-by-step explanation:

74.75 divided by 5 is 14.95 so when you add to the nearest whole number it will be 15.

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

Answer:

20 total salads

Step-by-step explanation:

If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

Answer:

no

Step-by-step explanation:

The box in angle b means that it is a right angle and right angles are 90 degrees

The angle marked A is 93 degrees

The angles are not equal

Answer:

-10x+2

Step-by-step explanation:

22-5(2x+4)

22-10x-20

2-10x

-10x+2

Answer:

-10x+2

hope this help plz if you need something ask me if youll like stay safe :)

The sum will be 46 which is the nearest combinational value that could be deduced from the digits 1, 2, 3, and 4.

Let's check all the combinations which can be possibly used,

34 + 21 = 46, which is 4 numbers less than 50 so far the nearest.

43 + 12 = 55, which is 5 numbers more than 50.

32 + 41 = 73, which is 23 numbers more than 50.

32 + 14 = 46, which is 4 numbers less than 50 so far the nearest.

23 + 41 = 64, which is 14 numbers more than 50.

So the two combinations are deduced after permutation and a combination of numbers that are 3 and 4 + 2 and 1 and another is 3 and 2 + 1 and 4.

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The radius of convergence for the Maclaurin series of f(x) is determined by the convergence of the logarithm function. In this case, the radius of convergence is 1, as ln(1+x) is defined for x within the interval (-1, 1].

To find a series representation for the definite integral ∫₀¹ x * \(e^{(x-1)}\) dx, we can make use of the fact that \(e^x\) = ∑(n=0 to ∞) (x^n / n!) and integrate the series term by term.

Let's start by rewriting the integral with the series representation:

∫₀¹ x * \(e^{(x-1)}\) dx

= ∫₀¹ x * \(e^x * e^{(-1)}\) dx

= e^(-1) ∫₀¹ x *\(e^x\) dx

Now, we substitute \(e^x\) with its series representation:

e^(-1) ∫₀¹ x * ∑(n=0 to ∞) (\(x^n\) / n!) dx

We can interchange the order of summation and integration since the series converges uniformly on the interval [0, 1]:

\(e^{(-1)}\) * ∑(n=0 to ∞) ∫₀¹ \((x^{(n+1)}\) / n!) dx

Now, let's evaluate the integral:

\(e^{(-1)}\) * ∑(n=0 to ∞) [x^(n+2) / ((n+1) * n!)] | from 0 to 1

Evaluating the definite integral at the limits gives us:

e^(-1) * ∑(n=0 to ∞) [1 / ((n+1) * n!)]

= e^(-1) * ∑(n=0 to ∞) [1 / (n+1)!]

This series representation for the definite integral ∫₀¹ x * e^(x-1) dx is e^(-1) times the series ∑(n=0 to ∞) [1 / (n+1)!].

Now, let's move on to finding the Maclaurin series for the function f(x) = ln(1+x) using the definition of a Maclaurin series and determining the associated radius of convergence.

The Maclaurin series for f(x) = ln(1+x) can be obtained by repeatedly taking derivatives of f(x) and evaluating them at x = 0.

Let's start by finding the first few derivatives of f(x):

f(x) = ln(1+x)

f'(x) = 1 / (1+x)

f''(x) = -1 / (1+x)^2

f'''(x) = 2 / (1+x)^3

f''''(x) = -6 / (1+x)^4

We can observe a pattern in the derivatives:

\(f^{(n)}(x) = (-1)^(n-1) * (n-1)! / (1+x)^n\)

Now, let's evaluate these derivatives at x = 0:

f(0) = ln(1+0) = ln(1) = 0

f'(0) = 1 / (1+0) = 1

f''(0) = -1 / (\(1+0)^2\) = -1

f'''(0) = 2 /\((1+0)^3\) = 2

f''''(0) = -6 / \((1+0)^4\) = -6

We can see that the terms with odd powers of x evaluate to 0 at x = 0, so we can ignore them.

The Maclaurin series for f(x) = ln(1+x) becomes:

\(f(x) = 0 + 1*x - 1*x^2/2! + 2*x^3/3! - 6*x^4/\)4! + ...

Simplifying, we get:

\(f(x) = x - x^2/2 + x^3/3 - x^4/4 + ...\)

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Answer:

- 3c² + c + 3

Step-by-step explanation:

We wish to evaluate

5(2c - 3c²) - 3(- 4c² + 3c - 1) ← distribute both parenthesis

= 10c - 15c² + 12c² - 9c + 3 ← collect like terms

= - 3c² + c + 3

Answer:

Step-by-step explanation:

- 2(5y - 1) - y = - 4(y - 3)

Expand the terms in the bracket

That's

-10y + 2 - y = - 4y + 12

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 10y - y + 4y = 12 - 2

- 7y = 10

Divide both sides by - 7

We have the final answer as

Hope this helps you

Answer:

\(x=9\)

Step-by-step explanation:

ABC is the sum of the angles CBD and ABD. So:

\(\angle ABC=\angle CBD+\angle ABD\)

Substitute them for their equations:

\((-7x+241)=(-4x+123)+(154-7x)\)

Solve for x. Combine like terms on the right:

\(-7x+241=-11x+277\)

Add 11x to both sides:

\(4x+241=277\)

Subtract 241 from both sides:

\(4x=36\)

Divide both sides by 4:

\(x=9\)

The value of x is 9.

And we're done!

Answer:

2(5n - []= 4(3n – 5) - 2n.

Step-by-step explanation:

A20

Answer:

b

Step-by-step explanation:

i took the test

let's solve for a :

Answer:

a/11 = 8b

a = 8b.11

a = 88b

Step-by-step explanation:

To calculate the car's miles per gallon (mpg) for this trip, we divide the number of miles traveled by the number of gallons of gas used:

mpg = miles traveled / gallons of gas used mpg = 260 miles / 8 gallons = 32.5 mpg

We have to convert the miles per kilometer in order find the kilometer per litre. One mile is nealry equal to  1.609 kilometers, so,260 miles * 1.609 km/mile = 420.94 km

Next, the number of liters of gas is devided by the number of kilometers kpl = kilometers traveled / liters of gas used kpl = 420.94 km / 8 liters = 52.62 kpl

So, the car's miles per gallon for the trip is 32.5 mpg, and the equivalent kilometers per liter is 52.62 kpl.

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There are 252 odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999.

To determine the number of odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999, we need to consider the possible combinations for the remaining digits.

Since the middle digit is fixed as 5, we have three remaining digits to consider: the thousands digit, hundreds digit, and units digit.

Thousands Digit:

The thousands digit cannot be 0, 5 (as it is the middle digit), or 6 (to stay within the given range). So, we have 7 possible options: 2, 3, 4, 7, 8, and 9.

Hundreds Digit:

The hundreds digit can be any digit from 0 to 9, excluding the already used digits in the thousands and middle positions. So, we have 9 possible options.

Units Digit:

The units digit must be an odd number, excluding 5 (as it is the middle digit) and any digit already used in the thousands and hundreds positions. So, we have 4 possible options: 1, 3, 7, and 9.

By multiplying the number of options for each digit, we obtain the total number of odd numbers meeting the given conditions:

7 (thousands) * 9 (hundreds) * 4 (units) = 252

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Answer:

25xwith an exponent of 2 minus 16y with an exponent of 2

To simplify 3(w+11) /6w, we can first simplify the numerator by distributing the 3:

3(w+11) = 3w + 33

Now we have:

(3w + 33) / 6w

We can further simplify by factoring out a 3 from the numerator:

3(w + 11) = 3 * 1(w + 11)

So we have:

(3 * 1(w + 11)) / 6w

The 3's cancel out, leaving:

(w + 11) / 2w

Therefore, the fully simplified expression is (w + 11) / 2w.