What is the value of 6k^-4 if k = -1?
A. -24
B. 1
C. 6
D. 24

The properties of equality that were applied are, subtraction property and multiplication property.

n < 3.

To solve an inequality is to determine the possible value of n that would satisfy the inequality. To do this, we have to apply certain properties of equality.

Given the inequality, n/-3 + 5 > 4, solve as shown below:

Subtract both sides by 5

n/-3 + 5 - 5 > 4 - 5 [subtraction property of equality]

n/-3 > -1

Multiply both sides by -3

n/-3 × -3 > -1 × -3

n < 3 (the inequality sign changed from > to < because we multiplied both sides by a negative number).

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Answer:

Step-by-step explanation:

the side opposite of K is JL.

Answer:

2/15

Step-by-step explanation:

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

The ratio of a to b is a divided by b, that is:

\(r = \frac{a}{b}\)

For Samantha's recipe:

\(3\frac{1}{2} = 3 + \frac{1}{2} = \frac{7}{2}\) of cranapple juice.

\(2\frac{1}{2} = 2 + \frac{1}{2} = \frac{5}{2}\) of lemonade.

Total of: \(\frac{7}{2} + \frac{5}{2} = 6\)

The ratio of lemonade to total is:

\(r = \frac{\frac{5}{2}}{6} = \frac{5}{12}\)

Samantha's ratio of lemonade to total is of \(\mathbf{\frac{5}{12}}\).

For Caden's:

Of cranapple, \(4\frac{1}{4} = 4 + \frac{1}{4} = \frac{17}{4}\)

Of lemonade, \(3\frac{3}{4} = 3 + \frac{3}{4} = \frac{15}{4}\)

Total of: \(\frac{17}{4} + \frac{15}{4} = \frac{32}{4} = 8\)

The ratio of lemonade to total is:

\(r = \frac{\frac{15}{4}}{8} = \frac{15}{32}\)

Caden's ratio of lemonade to total is of \(\mathbf{\frac{15}{32}}\).

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Answer:

easy it is B trust me

Step-by-step explanation:

Step 1:

Step 2:

Step 3:

Length of rectangle C = 16 + 12 = 28 cm

Breadth = B

Area of rectangle C = L x B

168 = 28B

Step 4:

Area of D = 108

Breadth B = 12 + 6 = 18 cm

Length = L

Area of D = L x B

108 = 18L

Final answer

The dimensions of rectangle D is 18cm by 6cm

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

To find the annual growth rate, we can use the formula for exponential growth:

Final Value = Initial Value * (1 + Growth Rate)^Time

In this case, the initial value is 1 (since the population starts with size 1) and the final value is 2 (since the population doubles in size). The time is 18 years.

2 = 1 * (1 + Growth Rate)^18

Dividing both sides by 1:

2 = (1 + Growth Rate)^18

Taking the 18th root of both sides:

2^(1/18) = 1 + Growth Rate

Subtracting 1 from both sides:

2^(1/18) - 1 = Growth Rate

Using a calculator, we can evaluate the left-hand side:

2^(1/18) ≈ 1.03447

Subtracting 1:

Growth Rate ≈ 1.03447 - 1 ≈ 0.03447

To convert to a percentage, we multiply by 100:

Growth Rate ≈ 0.03447 * 100 ≈ 3.45%

Therefore, the annual growth rate of the population is approximately 3.45%.

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The annual rate of interest is approximately 6.5%.

To find the annual rate of interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal (initial investment)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the time in years

In this case, the initial investment (P) is $3200, the final amount (A) is $3343.34, the time (t) is 5 months (which is 5/12 years since we need the time in years), and we need to find the annual interest rate (r).

We can rearrange the formula and solve for r:

r = ( (A/P)^(1/(nt)) ) - 1

Substituting the given values:

r = ( (3343.34/3200)^(1/(1*(5/12))) ) - 1

r ≈ 0.065 or 6.5%

Therefore, the annual rate of interest is approximately 6.5%.

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The graphs of the two quadratic functions are in the images at the end.

Let's take the first function.

y = -2x² + 1

This is a quadratic function.

To sketch this, we need to find some points on the curve and then connect thm with a parabola.

Let's find the points.

if x = 0

y = -2*0² + 1 = 1

if x = 1

y = -2*1² + 1 = -1

if x = -1

y = -2*(-1)² + 1 = -1

Then we have the 3 points (0, 1), (1, -1), and (-1, -1), now graph these 3 points (or more points, the more points you get the better the graph) on a coordinate axis and then draw a parabola that connects them.

The graph is on the image at the end.

2) Similarly for the second quadratic, just find some points and then connect them with a parabola, the graph is also below.

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Answer:because it just a word problem

Step-by-step explanation:

like i said it just a word problem

Answer:

669.9 ft³

Step-by-step explanation:

The formula for volume of a cone:

\(v=\pi r^2*\frac{h}{3} (3.14*radius*radius*\frac{height}{3} )\)

\(r = radius,\pi =pi,h=height.\)

The radius is 8; the height is 10.

From here, we can just plug the numbers into the formula.

\(\pi 8^2*\frac{10}{3} (3.14*8*8*\frac{10}{3} ) = 669.866666667.\)

\(669.866666667\) ≈ \(669.9.\)

Answer:

Using the Pythagorean theorem we can first put the points into x and y

x1 = 7

y1 = 9

x2 = 1

y2 = 1

The distance between the two points can be found as follows:

d = √((x2 - x1)² + (y2 - y1)²)

= √((1 - 7)² + (1 - 9)²)

= √((-6)² + (-8)²)

= √(36 + 64)

= √100

= 10

Therefore, the distance between the points (7, 9) and (1, 1) is 10 units.

Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

Ally will have 91.148 meters of tape in all if Ally needs 90 meters of tape for a project.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as addition, subtraction, multiplication, and division), as well as grouping symbols like parentheses.

Ally needs a total of 90 meters of tape for her project. She bought three rolls of tape, one with 50 meters, another with 22.86 meters, and the last one with 18.288 meters. To find the total amount of tape she has, she needs to add the length of all three rolls together.

Adding the length of the first two rolls, we get:

50 meters + 22.86 meters = 72.86 meters

Then adding the length of the third roll to the sum above, we get:

72.86 meters + 18.288 meters = 91.148 meters

Therefore, Ally will have 91.148 meters of tape in all.

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Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

4 1/12

Step-by-step explanation:

a = 5/6        b = 3 1/4 = 13/4

To add 5/6 + 13/4, we have to make the denominators the same:

20/24 + 78/24 = 98/24
To make it back to a mixed fraction:

4 2/24
4 1/12

Answer:

\(4\frac{1}{12}\)

Step-by-step explanation:

Given the following question:

\(a+b\)
\(a=\frac{5}{6}\)
\(b=3\frac{1}{4}\)
\(\frac{5}{6} +3\frac{1}{4}\)

To find the answer we have to convert the mixed number into an improper fraction, find the common denominator, and then add the numerators.

\(\frac{5}{6} +3\frac{1}{4}\)
\(3\frac{1}{4} =4\times3=12+1=\frac{13}{4}\)
\(\frac{5}{6} +\frac{13}{4}\)
\(\frac{5}{6} \times4=\frac{20}{24}\)
\(\frac{13}{4} \times6=\frac{78}{24}\)
\(20+78=98\)
\(\frac{98}{24} \div2=\frac{49}{12}\)
\(\frac{49}{12} =49\div12=4\frac{1}{12}\)
\(=4\frac{1}{12}\)

Hope this helps.

Answer:

Step-by-step explanation:

−−−√2

We know that −a=−1.a

⟹−1.6−−−−√2

Apply ab−−√c=a−−√cb√c

−1−−−√26–√2

Remember that −1−−−√=i

i26–√2

Apply x−−√2=|x|

|6|i2=6i2

Use i2=−1

⟹−6

Answer:

x1 = 2 and x2 =7/2 or 3.5 yeah it says I need 20 word but I'm done so bye good luck!

Answer:

top right

Step-by-step explanation:

Answer:

17x² - 22x - 2

Step-by-step explanation:

Given

(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis

= 5x² + 6x - 2 + 12x² - 28x ← collect like terms

= 17x² - 22x - 2

The ordered pairs in the solution set of the system of linear inequalities y ≥ -1/3x +2 and y < 2x + 3 are (2, 2), (3, 1), and (4, 2).

Given linear inequalities represented in the graph are:

y ≥ -1/3x +2

y < 2x + 3

In the graph, the shaded region above the solid line denotes the inequality,

y ≥ -1/3x +2

The shaded area on the right side of the dotted line denotes the inequality's solution set,

y < 2x + 3

And the common area of these inequalities will denote the solution set of the system of linear inequalities.

Ordered pairs are (2, 2), (3, 1), and (4, 2) and will therefore be located in the shared shaded area.

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We have proven that if a>b and c < 0, then a/c < b/c as shown below

From the question, we are to prove the given expression.

We are to prove that

If a>b and c<0, then a/c < b/c is true

Choose some numbers to satisfy the conditions

Since we have that

a > b

Let a = 8

and b = 4

Also,

We have that c < 0

Let c = -2

Now,

Evaluate a/c

a/c = 8/-2 = -4

Also, evaluate b/c

b/c = 4/-2 = -2

-4 < -2

Thus,

a/c < b/c

Hence, we have proven that if a>b and c < 0, then a/c < b/c

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

The answer is 11/12

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

\( = \frac{11}{12} \)

Step-by-step explanation:

\((33 \: \: \:, \: \: 25) = > (x1 \: \: \: , \: \: \: y1) \\ (57 \: \: , \: \: 47) = > (x2 \: \: \:, \: \: y2)\)

\(slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{25 - 47}{33 - 57} \\ = \frac{ - 22}{ - 24} \\ = \frac{11}{12} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

A function is a mathematical relationship between two sets of variables, usually expressed as an equation. A function can be represented in three different ways:

This can be helpful in understanding the behavior of the function and how the output value changes with different input values. Understanding and interpreting different representations of a function is a fundamental part of mathematics.

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