Help pls!!

x^2+6x≤-5
Show work

The parallel vectors to CD are:

Here we have the vector:

CD = 4a - 3b

Where a and b are vectors.

A vector V will be parallel to CD if we can find a scalar number k such that we can write the vector as:

V = k*CD

The second option:

V = 20a - 15b

We can rewrite this as:

V = 20a - 15b = 5*(4a - 3b)   this vector is parallel.

The third one is:

V'  =10a - 20b + 2a + 11b

V' = 12a - 9b = 3*(4a - 3b)  this vector is parallel.

V'' = (-8a + 6b) = -2*(4a - 3b)  this vector is parallel.

V''' = a - (3/4)b = (1/4)*(4a - 3b)  this vector is parallel.

These are all the parallel vectors.

Learn more about vectors at:

https://brainly.com/question/3184914

#SPJ1

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

To know more about Sine function:

https://brainly.com/question/21902442

#SPJ11

Answer:

27 x 2 −78 x + 16

Step-by-step explanation:

Answer:

27x^2-78x+16

Step-by-step explanation:

took the test

The 90% confidence interval for the mean capacitance of this type of capacitor is (0.216, 0.238).

To find a 90% confidence interval for the mean capacitance of this type of capacitor, we will need to use the formula for confidence intervals. The formula for a confidence interval is:

Sample mean +/- Margin of error

Where the margin of error is calculated using the formula:

Z * (Standard deviation / sqrt(sample size))

Since we are given a 95% confidence interval, we can assume that the Z-value for a two-tailed test is 1.96. We can also assume that the standard deviation is unknown and use the sample standard deviation as an estimate. We are not given the sample size, so we cannot calculate the margin of error directly.

However, since we want to find a 90% confidence interval, we can use the fact that the margin of error for a 90% confidence interval will be smaller than the margin of error for a 95% confidence interval. We can use the margin of error from the 95% confidence interval and adjust it accordingly.

Using the formula for the margin of error, we get:

1.96 * (standard deviation / sqrt(sample size)) = 0.014

We can rearrange this formula to solve for the sample size:

sample size = (1.96 * standard deviation / 0.014)^2

Without knowing the standard deviation, we cannot calculate the sample size directly. However, we can estimate the standard deviation by using the range of the 95% confidence interval. The range is the difference between the upper and lower bounds:

range = 0.241 - 0.213 = 0.028

We can assume that the standard deviation is approximately equal to the range divided by 4. This is a rough estimate, but it should be good enough for our purposes.

standard deviation = range / 4 = 0.028 / 4 = 0.007

Now we can calculate the sample size:

sample size = (1.96 * 0.007 / 0.014)^2 = 49

So we would need a sample size of 49 to obtain a 90% confidence interval with the same margin of error as the 95% confidence interval. We can now use this sample size to calculate the margin of error for a 90% confidence interval:

1.645 * (0.007 / sqrt(49)) = 0.011

Finally, we can calculate the 90% confidence interval for the mean capacitance using the formula:

Sample mean +/- Margin of error

= 0.227 +/- 0.011

= (0.216, 0.238)

Know more about 90% confidence interval here:

https://brainly.com/question/31420373

#SPJ11

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

Answer:

Distributive property

Explanation:

You are distributing the 3 to the parenthesis to get 12x+21 =43

Answer:

red im pretty sure

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

\(x+y=4\\x-y=-6\)

Solving the system of equations to find values of x and y

Let:

\(x+y=4--eq(1)\\x-y=-6--eq(2)\)

Adding both equations to find value of x

\(x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1\)

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

\(x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5\)

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

\(x+y=4\\-1+5=4\\4=4\:True\)

Put x=-1 and y=5 in equation 2

\(x-y=-6-1-5=-6\\-6=-6\:\:\:True\)

So, both equations are true.

Therefore, Option D is correct answer.

Answer:

Step-by-step explanation:

Given the limit of the function expressed as;

\(\lim_{n \to \infty} \frac{3n^4-10}{6n^4+7} \\\)

To take the limit, we nee to divide through by the highest power of n first

\(\lim_{n \to \infty} \frac{3n^4/n^4-10/n^2}{6n^4/n^4+7/n^4}\\= \lim_{n \to \infty} \frac{3-10/n^2}{6+7/n^4}\\= \frac{3-10/(\infty)^2}{6+7/(\infty)^4}\\= \frac{3-0}{6-0}\\= \frac{3}{6}\\ = \frac{1}{2}\\\)

Hence the limit of the the nth term as n becomes increasingly large is 1/2

Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

To know more about solving an equation, click on the link

https://brainly.com/question/22688504

#SPJ4

Answer:

( 0, -4)

Step-by-step explanation:

The y-intercept in a linear function will always have 0 as the x-coordinate.

Answer:

2(x +14) = 40 (use the distributive property)

2x + 28 = 40 (solve exactly like you did for Fran)

2x = 12

x = 6

The value of f(5)(0) for the given Maclaurin series is -1/750.

The Maclaurin series for a function f(x) is given by the formula:

f(x) = Σn=0 to infinity [f^(n)(0) / n!] x^n

where f^(n)(0) is the nth derivative of f evaluated at x=0.

In this case, we are given the Maclaurin series for the function f(x) as:

f(x) = x * Σn=1 to infinity (-1)^n (1 / (x^n * 3n^2 * (n+5)))

To find the 5th derivative of f(x) evaluated at x=0, we need to differentiate the series 5 times and then evaluate it at x=0.

f(1)(x) = Σn=1 to infinity (-1)^n (1 / (x^(n-1) * 3n^2 * (n+5)))

f(2)(x) = Σn=1 to infinity (-1)^n * (n-1) / (x^n * 3n^2 * (n+5))

f(3)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) / (x^(n+1) * 3n^2 * (n+5))

f(4)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) / (x^(n+2) * 3n^2 * (n+5))

f(5)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (x^(n+3) * 3n^2 * (n+5))

Substituting x=0, we get:

f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (0^(n+3) * 3n^2 * (n+5))

Simplifying the denominator, we get:

f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (3n^2 * (n+5))

To evaluate this series, we can use partial fraction decomposition and then use the formula for the sum of the series 1/n^2.

After simplifying, we get:

f(5)(0) = -1/750

Therefore, the value of f(5)(0) is -1/750, which is option (C).

Learn more about Maclaurin series here

https://brainly.com/question/28170689

#SPJ11

Answer:

No figure?

We need a figure to solve for this, please post the figure and I am ready to help!

Answer:

120

Answer:

B

Step-by-step explanation:

the area of a triangle is

\(A=\frac{1}{2}(h)(b)\)

so if we take as

\(from\:(x_1,y_1)\rightarrow(x_2,y_1)\)

so the base is

\(b=x_2-x_1\)

so the height is

\(from\:b\rightarrow(0,0)\)

the distance is

\(h=y_1-0\)

so the area is

\(A=\frac{1}{2}(y_1+0)(x_2-x_1)\\\\=\frac{1}{2}(y_1)(x_2-x_1)\)

so the answer is B

From options correct answers whole numbers, rational and integers.

The given number is 64.

We need to find the square root of 64.

It is very easy to find the square root of a number that is a perfect square. Perfect squares are those positive numbers that can be expressed as the product of a number by itself. in other words, perfect squares are numbers which are expressed as the value of power 2 of any integer. We can use four methods to find the square root of numbers and those methods are as follows:

Now, the prime factorisation of 64=2×2×2×2×2×2=8×8=8²

So, √8²=8

From options correct answers whole numbers, rational and integers.

To learn more about the square root visit:

https://brainly.com/question/1527773.

#SPJ2

For the probability of coin flip and die roll:

A probability is a number that represents the likelihood or chance that a specific event will occur.

To find the probability of getting heads and rolling a 5 = 1/2 x 1/6 = 1/12.

Probability of getting tails and rolling a 1 on the die = 1/2 x 1/6 = 1/12.

The chance of getting head and rolling any number = 1/2 x 1 = 1/2.

Probability of tails and rolling an odd number = 1/2 x 3/6 = 3/12 = 1/4.

and the probability of getting heads and rolling a number greater than 3 = 1/2 x 3/6 = 3/12 = 1/4.

Learn more on probability here: https://brainly.com/question/25870256

#SPJ1

Answer:

x = - 3

Step-by-step explanation:

- 8x - 10(3) = - 6

- 8x - 30 = - 6

- 8x - 30 + 30 = - 6 + 30

- 8x = 24

- 8x ÷ - 8 = 24 ÷ - 8

x = - 3

Answer:

the answer is A -3

Step-by-step explanation:

-8x-10y=-6 when y=3

-8x-10(3)=-6

-8x-30=-6

-8x=-6+30

-8x=24

-8x÷8=24÷8

x=-3

The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.

As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.

When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.

At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.

As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.

For more questions like Supply curve click the link below:

https://brainly.com/question/14925184

#SPJ11

(a) If both f(x) and g(x) were increasing functions, then their sum function h(x) = (f + g)(x) would also be an increasing function.

(b) If f(x) was decreasing while g(x) was sinusoidal (that is a function of sinx), then their sum function h(x) = (f + g)(x) would still be a sinusoidal function, but with an overall downward trend.

The function is still oscillating between 2 and -2, but it is decreasing overall because of the negative quadratic term.

Learn more about increasing functions from the given link

https://brainly.com/question/14330051

#SPJ11

To narrow down the confidence interval the pollster can increase the sample size.

Here we can see that the pollster surveyed only a sample of students to check whether they would vote or not. THe confidence of the interval of any sample depends on the margin of error.

Now, the Margin of error = Standard deviation/√sample size.

The smaller the margin of error, the smaller the confidence interval.

Hence we can see that to have a smaller standard of error we either need to have a smaller standard deviation, in turn, variance, or a larger sample size.

Now, the variability of any distribution is not something that a pollster can easily influence, as it will depend on the variety of answers they get. The pollster though can increase the sample size to get a smaller confidence interval. Hence they should increase the sample size.

To learn more about confidence interval visit

https://brainly.com/question/29680703

#SPJ4

There are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.

We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.

To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52

Therefore, there are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.

From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:

12 + 5 + 5 + 5 + 25 = 52

To know more about frequency distribution click on below link:

https://brainly.com/question/14926605#

#SPJ11

Your answer: A  −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]  This example demonstrates the distributive property of multiplication over addition for rational numbers, which states that for any rational numbers a, b, and c: a × (b + c) = (a × b) + (a × c).

The correct answer is A: −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]. This is an example of the distributive property of multiplication over addition for rational numbers because we are multiplying −14 by the sum of 23 and −47, and we can distribute the multiplication to each term inside the parentheses by multiplying −14 by 23 and −14 by −47 separately, and then add the two results together. This is the basic definition of the distributive property of multiplication over addition. Option B shows the distributive property of multiplication over subtraction, option C shows the product of multiplication and addition, and option D is not a valid equation.

Learn more about rational  here:

https://brainly.com/question/20850120

#SPJ11

Answer:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Step-by-step explanation:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Answer:

≈ 130 mg

Step-by-step explanation:

This is about the half-life of the substance.

There is a formula for this kind of calculations:

N(t)= N₀*(0.5)^(t/T), where

In our case, we have:

And the calculation:

Answer: about 130 mg of substance remains after 20 hours