Given the function f(x) = −5x2 − x + 20, find f(3).a. −28b. −13c. 62d. 64

Answer:

2×10⁵ is the same as 200,000 and 3×10⁴ is the same as 30000 so this simply means you have to multiply the 2 figures and give the answer in standard form

200,000×30000

6000000000

which will be written as

6×10⁹

I hope this helps

Answer:    15/10

Step-by-step explanation:

Answer:

15 cookies and 10 brownies

Step-by-step explanation:

Answer:

152 .18 degrees

Step-by-step explanation:

See attached diagram

arctan (36/19) = 62.18 degrees

 If North is zero....you will need to add 90 degrees= 152.18 degrees

Answer:

3/10

Step-by-step explanation:

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20.  There are no unit coversions.

In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Time  = distance/speed
Time. t = 1.280 / 64

t = 0.02 hours

Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ2

The volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

A closed surface or object's volume is determined by its three dimensions and is represented mathematically.

The following formula determines a cylinder's volume:

V = πr²h

where r is the radius of the cylinder and h is the height.

The diameter of the silo is 10 yards, so the radius is 5 yards. The height of the silo is 25 yards.

To find the volume of the silo, we need to first calculate its total capacity, which is the volume of a completely filled cylinder:

V_total = πr²h

V_total = π(5²)(25)

V_total = 625π

To find the volume of grain in the silo when it is 60% filled, we need to find 60% of the total capacity:

V_grain = 0.6V_total

V_grain = 0.6(625π)

V_grain ≈ 1178.1 cubic yards (rounded to the nearest tenth)

Therefore, the volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

Learn more about volume , visit :

brainly.com/question/1578538

#SPJ1

Answer:

7 kittens didn't finish their milk

Step-by-step explanation:

4/5 of 35 = 28

35-28=7

can i have brainlist pls

Answer:

7 kittens

Step-by-step explanation:

\(\frac{4}{5}=\frac{y}{35}\)

5 · y = 4 · 35

5y = 140

5y ÷ 5 = 140 ÷ 5

y = 28

35 - 28 = 7

Answer: b= 318

Step-by-step explanation:

7b= 2226

b=   2226/7= 318

If the perimeter of a rectangle is 24 feet and one of the sides has a length of x feet, the area of the rectangle is A = x (12 - x).

Let's consider a rectangle with one side measuring x feet. The perimeter of a rectangle is given by the formula

P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

In this case, since one of the sides has a length of x, we can substitute the values in the formula as follows:

24 = 2(x + w)

Simplifying the equation, we have

12 = x + w

To find the area of the rectangle, we use the formula A = lw, where A represents the area, l represents the length, and w represents the width. Since we know that one of the sides has a length of x, we can substitute x for the length, resulting in

A = xw

To determine the value of the width, we can rearrange the equation

12 = x + w to express w in terms of x, which gives w = 12 - x.

Substituting this value into the area formula, we have

A = x(12 - x)

This expression represents the area of the rectangle in terms of x.

Learn more about perimeter here:

https://brainly.com/question/68308

#SPJ11

Answer:

answer is  

A.21,369 or  D. 56,783

Step-by-step explanation:

am  not sure but am mostly sure it is D but i dont know i think is A to but am

99% is D

hope it helps

Answer:

Your answer is C 48,618

Step-by-step explanation:

if you add the sum up of all of the digits it is divisible by both three and nine.

can i plz get brainliest.

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

If two line segments are the same length, they are congruent.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

If two line segments are the same length, they are congruent.

They do not have to be parallel, though. Any direction or angle on the plane is acceptable for them. There are two congruent line segments in the aforementioned figure. They are lying at various angles, as you can see. Any of the four endpoints can be moved around, and the length of the other segment will adjust to match the new one.

Congruent is equivalent to saying "equals" when referring to line segments. "The length of line LM equals the length of line NP," you could say. However, the right terminology for this in geometry is "line segments LM and NP are congruent" or "LM is congruent to NP".

learn more about line segments here :

https://brainly.com/question/25727583

#SPJ1

The partial derivatives of z = (x + y)ey, with respect to u and v can be computed using the chain rule. We can first find the partial derivatives of z with respect to x and y and then use the chain rule to express the partial derivatives of x and y with respect to u and v. For z, the partial derivatives with respect to x and y are ey and (x + y)ey respectively. For x and y, the partial derivatives with respect to u and v are 3u2 and 3v2 respectively. Combining these, we get ∂z/∂u = 3u2ey(x + y)ey and ∂z/∂v = 3v2ey(x + y)ey.

Since the variables are restricted to domains on which the functions are defined, we can substitute the values of x and y in terms of u and v in the above partial derivatives to get the final expressions.

Know more about chain rule here

https://brainly.com/question/5543508#

#SPJ11

Answer:

infinite solutions

Step-by-step explanation:

Hello!

Since 3r - 5 is on both sides of the equation we can put any number in for r and it would still be true so the answer is infinite solutions

The answer is infinite solutions

Hope this helps!

The ratio of the volume of the rectangular prism to the volume of the triangular prism is \(\frac{1}{15}\).

The volume of two right prisms (\(V\)), cubic units, equals the product of the base area and its height, both in units. Thus, the ratio of both volumes is now calculated:

\(r = \frac{(40)\cdot (3)\cdot (30)}{\frac{1}{2}\cdot (60)^{2}\cdot (30) }\)

\(r = \frac{1}{15}\)

The ratio of the volume of the rectangular prism to the volume of the triangular prism is \(\frac{1}{15}\). \(\blacksquare\)

Statement is incomplete and poorly formatted. Correct and complete form is shown below:

A rectangular prism has a base with edge length 40 units, edge width 3 units, and a height of 30 units. A triangular prism has a right triangular base with legs that are 60 units long and a height of 30 units. Determine the ratio of the volume of the rectangular prism to the volume of the triangular prism.

To learn more on prisms, we kindly invite to check this verified question:   https://brainly.com/question/318504

Answer:

14 feet

Step-by-step explanation:

Area= base x height

Height=area/base

182/13=14

Answer:

Step-by-step explanation:

isosceles triangle

solve for x:

JK = KL

8x = 13x - 15

15 = 13x - 8x

15 = 5x

x = 3

solve for y:

180 = 76 + 2(5y - 3)

180 - 76 = 10y - 6

10y = 110

y = 11

The IQR is the best measure of variability, and it equals 4.

Option C is the correct answer.

What is IQR?

The area between the middle quarters of the scores is known as the interquartile range (IQR). The Interquartile range is the appropriate measure of variability when a distribution is skewed and the median rather than the mean is utilized to demonstrate a central tendency. The middle half of your data set—the second and third quartiles—is represented by the interquartile range (IQR).

From the box plot, we can see that the box extends from 17 to 21 on the number line, with a line at 19 inside the box.

This means that Q1 is 17 and Q3 is 21.

The IQR is:

IQR = Q3 - Q1 = 21 - 17 = 4

Thus,

The IQR is the best measure of variability, and it equals 4.

Learn more about Interquartile range

brainly.com/question/29204101

#SPJ1

To find the prime number less than 200 using the principle of inclusion-exclusion, we first list all the primes less than 200, which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, and 193.

Next, we use the principle of inclusion-exclusion to determine the prime numbers less than 200. The principle of inclusion-exclusion states that if we want to find the total number of elements in two or more sets, we must subtract the number of elements that are in the intersection of those sets.

In this case, we want to find the prime numbers less than 200, so we need to subtract the primes that are not less than 200. The only prime that is not less than 200 is 199, so we subtract it from the list of primes less than 200.

Using the principle of inclusion-exclusion, we get:

Total number of primes less than 200 = number of primes less than 200 - number of primes not less than 200
= 46 - 1
= 45

Therefore, there are 45 prime numbers less than 200 using the principle of inclusion-exclusion.

Visit here to learn more about  prime numbers : https://brainly.com/question/30358834
#SPJ11

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation.  The equation for the discriminant is \(b^{2}-4ac\), where b is the coefficient of x, a is the coefficient of \(x^{2}\), and c is the number with no variable attatched to it.  If we plug in the numbers (\(17^{2} -4*4*3\)) it gives you 241, which is the discriminant.  Since 241 is more than zero, it has 2 zeros.  If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

Answer:

some of interior angles of hexagon = 720°

therefore,

720 = 121 + 96 + 101 + 162 + 90 + x

720 = 570 + x

729 - 570 = x

150 = x

Answer:

this is the answer I know.

Answer:

The process capability index for this system is 0.9103

Step-by-step explanation:

Upper specification = 1.649 inches

Lowe Specification = 1.507 inches

Mean = 1.57 inches

Standard Deviation = 0.026 inches

Process Capability Index = PCI

PCI = (Upper specification - lower specification)/6(standard deviation)

So, we get,

PCI = (1.649 - 1.507)/((6)(0.026))

PCI = 0.142/0.156

PCI = 0.9102564

To four decimal places, we get,

PCI = 0.9103

At the instant when the volume of the sphere is 6161 cm³, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

The formula for the volume of the square is:

V = 4/3 πr³

Take the derivative with respect to t (time):

dV/dt = 4 πr² dr/dt

At an instant, the volume of the square is 6161 cm³

6161  = 4/3 πr³

r³ = (3/4) x 6161 / π = 1,470

r = 11.37 cm

dV/dt = 4 πr² dr/dt

399 = 4 π (11.37)² dr/dt

dr/dt = 0.24 cm/minute

The surface area of a sphere is:

A = 4 πr²

dA/dt =  8 πr dr/dt

          = 8 π (11.37) (0.24) = 68.5

Hence, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

Learn more about rate of change here:

https://brainly.com/question/22716418

#SPJ4

Answer: a. 36-17 <0.04x ⇒ 475 < x

b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The cost of plan 1 (36) must be less (<) than the cost of plan 2 (fixed charge [17] plus the product of the charge per call [0.04] and the number of calls [x] )

a.36 < 17+ 0.04x

Solving for x

36-17 <0.04x

19 < 0.04x

19 /0.04 <x

475 < x

b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.

The error the student made was not correctly distributing the -3 to the second term (1/3y) inside the parenthesis in Step 1. The student incorrectly wrote -3(1/3y) as -3y instead of -y.

By correctly distributing the -3, the proper simplification would lead to the final answer of y = -12x.

The error the student made in simplifying the equation occurred in Step 1.

To solve the equation 9x = -3(x + 1/3y) for y is as follows:
Step 1: Distribute the -3 to both terms inside the parenthesis:
9x = -3x - y
Step 2: Add 3x to both sides of the equation to isolate the term with y:
9x + 3x = -y
Step 3: Simplify the equation by combining like terms:
12x = -y
Step 4: To solve for y, multiply both sides of the equation by -1:
y = -12x.

For similar question on distributing.

https://brainly.com/question/29368683

#SPJ11

angle RQS = 101 degrees

angle TQS = 79 degrees

===================================================

Explanation:

A straight angle has a measure of 180 degrees. It's another way of saying "straight line".

The two angles shown add to 180.

We'll use this fact to solve for x.

(angleRQS) + (angleTQS) = angle RQT

(9x+2) + (7x+2) = 180

16x+4 = 180

16x = 180-4

16x = 176

x = 176/16

x = 11

Use this x value to determine the angles we're after.

Check:

(angleRQS) + (angleTQS) = 101+79 = 180 which confirms the answer is correct.

The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

Learn more on quadratic equations here; https://brainly.com/question/29179994

#SPJ1

Answer:

Step-by-step explanation:

Formula

P = 2*w + 2*L

Area = L*w

Givens

Area = P

L = 6

Create equation and Solve

LW = 2w + 2L

6w = 2w + 2*6

6w = 2w + 12                    Subtract 2w from both sides

6w - 2w = 12                     Combine

4w = 12                             Divide by 4

4w/4 = 12/4          

w = 3

Check

Area = 6*3 = 18

Perimeter = 2*3 + 2*6

Perimeter = 6 + 12           Combine

Perimeter = 18

It does check.