Which estimate is closest to the actual value?
3.749237 x 1.84623
-8.2
-6.9
-3.6
-5.5

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Answer:

x=1.5

Step-by-step explanation:

No hablo espanol

Answer:

Hello! answer: 76

Step-by-step explanation:

Formula to find area is base × height ÷ by 2 12 + 7 = 19 19 × 2 = 152 152 ÷ 2 = 76 HOPE THAT HELPS!

Answer:

Step-by-step explanation:

r2=x2+y2,tanθ=yx,x=rcosθ,y=rsinθ

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

Answer:

22.5 punches in 9 rounds.

Step-by-step explanation:

To find the number of punches in 1 round, you divide 4 by 4 and 10 by 4. 4 divided by 4 is 1. 10 divided by 4 is 2.5. Next, multiply 1 by 9 to get 9. Then multiply 2.5 by 9 to get 22.5

So, a boxer can land 22.5 punches in 9 rounds. If you need to round, it would be 23 punches in 9 rounds.

Hope this helps!

Evaluating in x = 7 in the second piece of the function, we get:

f(7) = 1.

Here we have the piecewise function:

f(x) = -2x + 1    if x < 3

f(x) = x - 8       if x ≥ 3

Where the part in the right defines the domain of each piece of the function.

And we want to evaluate in x = 7, then we need to use the second part (because 7 is larger than 3). Replacing x by 7 we get:

f(7) = 7 - 8 = -1

f(7) = -1

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Answer:

The Area of the shaded region would be 100 in^2 .

Step-by-step explanation:

Given:

Check the Attachment.

To Find:

The Area of Shaded Region

Solution:

The Triangle and the Rectangle have the same base(b) that is equal to the length(l) of the rectangle.

Note that Height of the triangle is same as breadth of the rectangle.

Now Let's come in the main solving part :-

We know that the formula of Area of the Triangle is ;

\(\boxed{ \rm \: Area \: of \: Triangle= \tt \: 1/2× \rm \: base×height , i.e. \: \tt \: 1/2× \rm\: b×h}\)

Substitute the values where Base= 20 in and Length = 10 in:

\( \tt \: Area \: of \: Triangle=1/2×20 \: \times 10\)

Now Solve it.

\( \tt \: Area \: of \: Triangle= \cfrac{1}{ \cancel2 {}^{1} } \times \cancel{20} {}^{10} \times 10\)

\( \tt \: Area \: of \: T riangle = 10 \times 10\)

\( \tt \: Area \: of \: Triangle=\boxed{\tt 100 \: in {}^{2}} \)

Hence, the area of the shaded region is 100 sq.in or 100 in^2 .

\( \rule{225pt}{2pt}\)

I hope this helps!

Let me know if you have any questions. :)

Answer:

It will take 2.2 hours for the trains to meet.

Step-by-step explanation:

Given,

Distance between two trains = 396 miles

Speed of one train = 95 mph

Speed of other train = 85 mph

Combined speed of trains = 95+85 = 180 mph

Distance = Speed * Time

Time =

Time =

Time = 2.2 hours

It will take 2.2 hours for the trains to meet.

Keywords: speed, distance

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Step-by-step explanation:

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

Answer:

What are you referring to?

Step-by-step explanation:

Answer:

Step-by-step explanation:

.................8908989

Answer:

≥ 8.88 feet

Step-by-step explanation:

The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source.

I = s/d^2

The object is placed between the sources which are 14 feet apart

at a point where

Week = strong

s/x^2 = 3s/(14 - x)^2

cross multiply

(14 - x^2)s = 3sx^2

Divide both sides by s

(14 - x)^2 = 3x^2

Expand

196 - 28x + x^2 = 3x^2

subtract (196 - 28x + x^2) from both sides

2x^2 +28x - 196 = 0

Divide both sides by 2

x^2 + 14x - 98 = 0

Solve using quadratic equation

(work not shown)

x = {-19.1244, 5.12436}

disregard the negative root since the distance cannot be negative

x = 5.12436

14 - x = 8.87564

Rounded

8.88 feet

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

The elevation of the helicopter and the relative positions of the points A, B, and C indicates that we get the following approximate values;

(a) CY₂ = 200·√(13)

(b) 56.3°

(c) 752.29 m

(d) 38.57°

(e) 852 m

(f) 35.15°

(g) 37.6 m/s

The angle of elevation of one point from another point is the angle formed from the line of sight from the lower point to the elevated point.

The distance to C from B  = 400 m

The point A is due south from B

C is on a bearing 028° from A

(a) The point the helicopter passes over B = Y₂

The point the directly over A to which the helicopter is heading = Y₁

CY₂ = √(600² + 400²) = 200·√(13)

(b) The angle of elevation of the helicopter at Y₂ from C = arctan(600/400) ≈ 56.3°

(c) The distance AB, can be found using the trigonometric ratios for the  tangent of an angle as follows;

tan(28) = BC/AB

BC = 400, therefore;

AB = 400/tan(28) ≈ 752.29 meters

(d) The angle of elevation is; arctan(600/(400/tan(28)) ≈ 38.57°

(e) The Pythagorean Theorem for the lengths of the sides of the right triangle formed by the points A, B, and C, indicates that we get;

AC = √(400² + ((400/tan(28))²) ≈ 852 meters

(f) The angle of elevation of the helicopter at Y₁ from C = arctan(600/√(400² + ((400/tan(28))²)) ≈ 35.15°

(g) The distance from Y₂ to Y₁ = The distance AB = 400/tan(28)

Therefore, the speed of the helicopter = 400/tan(28)/20 ≈ 37.6 m/s

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Answer:

\(1-8x-2x^2\)

Step-by-step explanation:

(-4x^3-14x^2+10x-1)÷(2x-1)

Factor the expressions that are not already factored.

\(\frac{(2x-1)(2x^2-8x+1)}{2x-1}\)

Cancel out 2x−1 in both numerator and denominator.

\(2x^2-8x+1\)

Swap terms to the left side.

\(1-8x-2x^2\)

Graph if needed:

Answer:

1758 years

Step-by-step explanation:

0.693/t1/2 = 2.303/t log No/N

t1/2 = half life of the C-14

t= time taken

No= amount of radioactive material originally present

N= amount of isotope after time t.

But N= 0.81 No

0.693/5715= 2.303/t log No/0.81No

0.00012 = 0.211/t

t =0.211 /0.00012

t= 1758 years

The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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The horizontal asymptote of the function f(x) = (x-2)/(x-3)² is at y = 0 which is the x-axis.

An asymptote is a line that is approached by a curve but never touches it. In other words, an asymptote is a line where the graph of a function converges.

Because a horizontal asymptote is a horizontal line, its equation is of the form y = k. The horizontal asymptote of a rational function is at y = 0, which is the x-axis if the degree of the numerator is smaller than the degree of the denominator.

Here, the function is f(x) = (x-2)/(x-3)². Here the degree of the numerator of this rational function is 1 and the degree of the denominator is 2. Since 1<2, the horizontal asymptote is at y = 0 which is the x-axis.

The horizontal asymptote of the function f(x) = (x-2)/(x-3)² is at y = 0 which is the x-axis.

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Answer:

c

Step-by-step explanation:

A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

A. She should rewrite both equations in slope-intercept form.  

(this step is true in general, but only the first requires the rewriting for this particular example, so become ambiguous).

B. She should rewrite the first equation in slope-intercept form.

D. When rewriting the first equation, she should subtract 2x from each side of the equation to get –7y by itself.

(this is just the first part of the step of the rewriting)

Step-by-step explanation:

Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph the equations? Check all that apply.

2 x minus 7 y = 56.

y = negative 2.5 x + 4.

A. She should rewrite both equations in slope-intercept form.  

B. She should rewrite the first equation in slope-intercept form.

C. She should find that the second equation has a slope of 4.

D. When rewriting the first equation, she should subtract 2x from each side of the equation to get –7y by itself.

E. After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.

Answer:

The answer is b and d

Step-by-step explanation:

I took the test on edge and got it wrong because of the other person

HOPE THIS HELPS!!!

Answer: 12

Step-by-step explanation:

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

STEP - BY - STEP EXPLANATION

What to find?

Identification of pattern and then the next number.

Given:

98, 92, 86, 80, 74

Observe that to get the second term, we will subtract 6 from the previous term.

That is;

First term = 98

Second term = first term - 6 =92

Third term = second term - 6 = 86

Fourth term = Third term - 6 = 80

Fifth term = Fourth term - 6 = 74

Now, to find the sixth term, we will apply the same pattern.

Hence, the next term is 68

ANSWER

68

Answer:

The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius.   Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2

Step-by-step explanation: