Select the correct answer.

Factor the given expression.

x2 + 16x + 64


A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2

Pls help will give brainliest if the answer it right

Answer:

\(r=\sqrt[3]{\frac{3v}{4} }\)

Step-by-step explanation:

To solve for \(r\):

\(v=\frac{4}{3}r^{3}\) (given)

\(\frac{3v}{4}=r^{3}\) (times \(\frac{3}{4}\) on both sides)

\(r=\sqrt[3]{\frac{3v}{4} }\)

I hope this helps :)

The following statements are true: The margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval. The upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval.

To increase the confidence level from 95% to 99%, we would need to widen the confidence interval.

The margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval.

The upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval.

The confidence interval is a range of values that is likely to contain the true population mean with a certain level of confidence. Increasing the confidence level will require a wider range of values because there is a higher chance of including the true population mean within that range. The margin of error is calculated based on the sample size and standard deviation of the population. With a larger confidence level, the margin of error will increase, resulting in a wider confidence interval. Therefore, we can conclude that the margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval. Additionally, the upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval because the range needs to be larger to achieve a higher level of confidence.

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Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

Subtraact 4 from both sides

x = -3

Answer:

-3

Step-by-step explanation:

The sum of the parts 11/7 and 12/5 of pizza is 139/35.

It is given that the parts of pizza are:

\(1. 11/7\\2. 12/5\\\)

It is required to find sum of the parts of pizza.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Calculating the sum of the parts of pizza:

\(=\frac{11}{7}+\frac{12}{5}\)

\(=\frac{139}{35}\)    

Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.

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Answer:

180 degrees!

Step-by-step explanation:

Hope this helps, Have a good day!

Answer:

Acute angle

Step-by-step explanation:

Angles smaller than 90 degrees are acute

hope it helps :)

Answer:

the interest is Rs 450

Step-by-step explanation:

The computation of the interest did she get in one year is shown below:

Amount = Principal + interest

where,

The Amount is Rs 4,450

And, the principal is Rs 4,000

So, the interest is

= Rs 4,450 - Rs 4,000

= Rs 450

hence, the interest is Rs 450

Answer:

133.5

An easy way of doing this is to ignore the decimal so consider it as 89 instead because 0 is insignificant. So do 89x15 = 1335 we know that 8.90 has 1 decimal place because 0 is not significant so you just add 1 decimal place which becomes 133.5

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15  

Answer:

x=15

Step-by-step explanation:

Answer:

The length, l, of the ladder is 100 meters

Step-by-step explanation:

The given scenario forms a right triangle in which the length of ladder is hypotenuse, the distance between the foot of the ladder and the wall is base(as shown in attached diagram) We have to find length of ladder(l)

For this purpose trigonometric ratios can be used. The ratio which includes both base and hypotenuse of triangle is cos θ where θ = 60°

So,

\(cos\ 60 = \frac{50}{l}\)

The value of cos 60 is 1/2 or 0.5

So,

\(0.5 = \frac{50}{l}\\l = \frac{50}{0.5}\\l = 100\)

Hence,

The length, l, of the ladder is 100 meters

Answer:

Locate a on the x-axis.

From a on the x-axis, if b is positive, move up b units, and if b is negative, move down b units.

The location should now line up to a on the x-axis and to b on the y-axis, so we draw a point at the location. This is the point (a, b).

Step-by-step explanation:

That is the step by step explanation above

Answer:

Dividing or Subtracting

Step-by-step explanation:

Answer:

multiply

Step-by-step explanation:

When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Answer:

Dubai , Istanbul , Cairo , Jerusalem

Step-by-step explanation:

The virus I suggest stay home.

Answer:

Step-by-step explanation:

y

=

4

−

2

x

Answer:

Step-by-step explanation:

i can not see the attachment

Answer:

i would say C if not A i maybe wrong on both but dont hate me, i tried

Step-by-step explanation:

We have

so

the restriction is not divided between 0

6x+1=0

6x=-1

x=-1/6

so our restriction is

so the correct answer is D.

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

Answer:

B

Step-by-step explanation:

Answer:

the rate of change is 2 percent per exam

Step-by-step explanation:

Answer:

The rate of change is 2 percent per exam.

Step-by-step explanation:

:)

Answer:

No. 159.74 < 162 feet

Step-by-step explanation:

\( \sin(28) = \frac{75}{x} \\ x = \frac{75}{0.4695} \\ x = 159.74\)

Answer:

Total purchase price = 600 * 34.50 Total purchase price = $20,700 c. To find the total selling price for the 600 shares, we can multiply the number of shares by the final price per share. Total selling price = 600 * 38.64 Total selling price = $23,184 d.

\(y = (4/5) + Ce^{(-5x/4)\)  is the general solution of the given differential equation. The largest interval I over which the general solution is defined is (-∞, ∞).

To solve the given differential equation 4(dy/dx) + 20y = 5, we first divide both sides by 4 to obtain:

(dy/dx) + (5/4)y = 5/4

The left-hand side of this equation can be written in terms of the product rule as:

d/dx \((y e^{(5x/4)}) = 5/4 e^{(5x/4)\)

Integrating both sides with respect to x, we get:

\(y e^{(5x/4)} = (4/5) e^{(5x/4)} + C\)

where C is a constant of integration.

Dividing both sides by \(e^{(5x/4)\), we obtain:

\(y = (4/5) + Ce^{(-5x/4)\)

This is the general solution of the given differential equation. The largest interval I over which the general solution is defined is (-∞, ∞), since there are no singular points.

There are no transient terms in the general solution, since the solution approaches a constant value as x goes to infinity or negative infinity.

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The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer: 7 feet

Step-by-step explanation:

1 foot = 12 inches

7 * 12 = 84

7 feet = 84 inches

84 inches are more than 81 inches

Answer:

7 feet is greater

Step-by-step explanation:

you can change feet to inches. one foot is the same as 12 inches. so 7 feet = 84 inches. so 84 > 81 so 7 feet is greater

Answer:

20

Step-by-step explanation:

Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.

Step-by-step explanation: Hope This Helps!!

From: Kageyama! <3 No need to thank me, it's what I do! ^^

Answer:

20x - 21y + 14

Step-by-step explanation:

1/5(150x - 80y + 50 - 50x- 25y + 20)

Step 1 - Distribute

1/5 • 150x = 30x

1/5 • (-80y) = -16y

1/5 • 50 = 10

1/5 • (-50x) = -10x

1/5 • (-25y) = -5y

1/5 • 20 = 4

Step 2 - Combine Variables

30x - 10x = 20x

-16y - 5y = -21y

10 + 4 = 14

Step 3 - Arrange the Set of Numbers

20x - 21y + 14

This is the simplified expression, I know it is correct, I doubled checked on my expression calculator.

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

The total dollar amount of coloured pencils sold is $108.75.

Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.

We need to find what is the total dollar amount of coloured pencils sold.

A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.

Now, the cost of each pencil is $4.25.

Then the cost of 15 pencils=15×4.25=$63.75

The cost of each pencil is $3.75.

Then the cost of 12 pencils=12×3.75=$45

Total=63.75+45=$108.75

Therefore, the total dollar amount of coloured pencils sold is $108.75.

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The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

We are given the system of equations:

1.7p - 0.34q = 0

0.17(q+1) - 0.85(p-1) = 0

We can simplify the second equation by distributing the 0.17 and 0.85 terms:

0.17q + 0.17 - 0.85p + 0.85 = 0

0.17q - 0.85p = -0.72

Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.

Multiplying the first equation by 5, we get:

8.5p - 1.7q = 0

Multiplying the second equation by 2, we get:

0.34q - 1.7p = -1.44

Adding these two equations, we get:

6.8p = -1.44

p = -0.2118

Substituting this value of p into either of the original equations, we get:

1.7(-0.2118) - 0.34q = 0

q = -8.0

So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

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A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.