Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6, 9, 12, 18

Answers

Answer 1

She would need 18 cameras

Answer 2

Answer:

18

Step-by-step explanation:


Related Questions

helppp!!!!!! asap !!!!!!!

Answers

Answer: B

Step-by-step explanation:

A triangle is reduced. A triangle has a base of 16 inches, a height of 12 inches, and a side length of 20 inches. A smaller triangle has a base of 12 inches, a height of 9 inches, and a side length of the blank. Not drawn to scale What is the perimeter of the reduced triangle, in inches?
A.) 15
B.) 21
C.) 36
D.) 48

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

i took the test

Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4. Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction. Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4. Who is correct and why? Nadine is incorrect because she should have applied the quotient of powers rule first. Nadine is correct because she correctly applied the power of a product rule. Calvin is incorrect because he should have applied the power of a product rule first. Calvin is correct because he correctly applied the quotient of powers rule.

Answers

Answer:

what is the question

Step-by-step explanation:

plsss give brainliest

The correct answer is  Calvin is correct because he correctly applied the quotient of powers rule.

The correct option is (D).

Calvin is correct because he correctly applied the quotient of powers rule.

According to the quotient of powers rule, [tex]\( \frac{a^m}{a^n} = a^{m - n} \).[/tex]

So, in this case:

[tex]\[ \frac{r^{-5}s^{-3}}{r^8s^{-2}} = r^{-5 - 8}s^{-3 - (-2)} = r^{-13}s^{-1} \][/tex]

Then, when you raise this expression to the power of -4:

[tex]\[ (r^{-13}s^{-1})^{-4} = r^{-13 \times -4}s^{-1 \times -4} = r^{52}s^4 \][/tex]

Nadine's approach would result in:

[tex]\[ \left( \frac{r^{-5}s^{-3}}{r^8s^{-2}} \right)^{-4} = \left( \frac{e^{-20}s^{-12}}{r^{32}s^8} \right) \][/tex]

Which is incorrect.

So, the correct answer is D. Calvin is correct because he correctly applied the quotient of powers rule.

complete question given below:

Nadine and Calvin are simplifying the expression ( (r^(-5)s^(-3))/r^8s^(-2) ). Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power (e^(-20)s^(-12))/r^(32)s^8 . Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r^(-13)s^(-1))^-4.

Who is correct and why?

A.Nadine is incorrect because she should have applied the quotient of powers rule first.

B.Nadine is correct because she correctly applied the power of a product rule.

C.Calvin is incorrect because he should have applied the power of a product rule first.

D.Calvin is correct because he correctly applied the quotient of powers rule

describe how to graph point K at (5,4)

Answers

Answer & Step-by-step explanation:

[tex]K(5,4)[/tex]

Remember this:

[tex](x,y)[/tex]

[tex](5_{x},4_{y})[/tex]

When you are going to graph a point, you always start along the x-axis (the horizontal), then you move on to the y-axis (vertical). Both of the numbers in K are positive, so we will stay in Quadrant I.

For x, starting at (0,0) move to the right to point 5. From here, move up to the line that has value 4. Mark this spot with a dot and label if needed.

*If the x value is positive, you move to the right. If it is negative, you move to the left.

If the y value is positive, you move up. If it is negative, you move down.

Final answer:

To graph point K at (5,4), draw axes, locate 5 on the x-axis, 4 on the y-axis, and mark the point at the intersection.

Explanation:

To graph point K at (5,4), you start by drawing a set of perpendicular lines representing the x-axis (horizontal) and y-axis (vertical), usually with arrows on each end to indicate that they extend infinitely.

Each axis should be marked with evenly spaced intervals. Locate the number 5 on the x-axis (the horizontal axis) and then move vertically until you're level with the number 4 on the y-axis (the vertical axis).

Plot point K at the intersection of these two points.

This gives you the coordinates of point K where the first number in the parentheses is the position on the x-axis and the second number is the position on the y-axis.

Solve 12x - 2 = 20.
Round to the nearest ten-thousandth,

Answers

Answer:

1.8333

Step-by-step explanation:

12x-2=20

Add 2 to both sides:

12x=22

Divide both sides by 12:

[tex]x=\frac{22}{12}\approx 1.8333[/tex]

Hope this helps!

It would be x=11/6 but you’re saying nearest ten-thousands so it would be 1.83

The number of birds in a forest is decreasing by 3% every year. In 2000 there were 5,400 birds. Write an equation that represents the number, y, of birds x years after 2000. How many birds will there be in 2025? Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

This is a Compound interest problem with a decreasing rate. It is given by the formula:

A = P(1 +/- R)^T

Where A = amount after time T

P = principal or initial amount

R = rate of increase or decrease

T = time elapsed

There's +/- because + is used in the case when the amount is increasing at a particular rate and - is used whe the amiunt is decreasing.

In 2000 there were 5,400 birds and the number of birds is decreasing by 3% (0.03) every year.

The number of birds, y, that will be there x years after 2000 will be:

y = 5400( 1 - 0.03)ˣ

2025 is 25 years ahead of 2000, so x = 25

Therefore, the number of birds in 2025 will be:

y = 5400(1 - 0.03)^25

y = 5400(0.97)^25

y = 5400 * 0.467

y = 2522 birds

There will be 2522 birds in 2025.

Final answer:

The equation to represent the number of birds after x years is y = 5,400(1 - 0.03)^x. To find the number of birds in 2025, we use x = 25 in the equation to get y ≈ 3,295 birds.

Explanation:

To write an equation that represents the number, y, of birds x years after 2000 with a yearly decrease of 3%, we use the formula for exponential decay, which is y = a(1 - r)^x. Here, a is the initial amount, r is the rate of decrease, and x is the number of years since 2000.

In this case, the initial number of birds in 2000 was 5,400, so a = 5,400, and the rate of decrease is 3%, meaning r = 0.03. The equation becomes y = 5,400(1 - 0.03)^x.

To find out the number of birds in 2025, we calculate x as the number of years from 2000 to 2025, which is 25 years. Thus, the calculation results in y = 5,400(1 - 0.03)^25. After solving, we round the result to the nearest whole number.

Performing the calculation, y ≈ 3,295 birds.

please help me! i’ll give brainliest!

Answers

which ones do you need answered i’m happy to help

x^2 – 3x – 7 = 0
Solve the quadratic equation using the quadratic formula.

Answers

Answer:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0.

Step-by-step explanation:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0. Use the quadratic formula to find the solutions. −b±√b2−4(ac)2a - b ± b 2 - 4 ( a c ) 2 ...

Answer:

x=3/2 ±  √37/2

Step-by-step explanation: the answer


29

80

60
NOTE: Angles not necessarily drawn to scale.


*HELP NEEDED*

Answers

Step-by-step explanation:

Hope it helps.

Please rate and mark as brainlist.

Answer:

I'm not sure

Step-by-step explanation:

sorry

In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
A) 186.72
B) 208.72
C) 188.56
D) 204.56

Answers

Answer: B

Step-by-step explanation:

The answer is 32.2102.

In June, Cory begins to save money for a video game and a TV he wants to buy in December.

He starts with $22. Each month he plans to save 10% more than the previous month.

How to find how much money will he have at the end of December?

the given scenario is an application of a geometric sequence with

a1=$20 and  r= 22/2 *100 = 1.1

. Since December is 6 months from June, then to find out the 6th term.

As, a2 = a1 * r = 20 × 1.1 = 22

a3= a2 *r = 22 * 1.1 = 24.2

a4= a3 * r = 24.2 * 1.1 = 26.62

a5=a3 * r = 26.62 *1.1 = 29.282

a6= a4*r = 29.282 * 1.1 = 32.2102.

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- Identify the outlier in the data set {12, 15, 20,
44, 18, 20}, and determine how the outlier
affects the mean, median, mode, and range of
the data.

Answers

The outlier in the data set {12, 15, 20, 44, 18, 20} is 44. It significantly increases the mean and range of the data set, but the median and mode are less affected. The outlier highlights sampling variability and induced variability.

The student has asked to identify the outlier in the data set {12, 15, 20, 44, 18, 20} and assess how it affects the mean, median, mode, and range of the data. Considering the provided data, it's apparent that the number 44 is the outlier since it is significantly higher than the rest of the numbers in the set. To confirm, we can calculate the interquartile range (IQR) and use it to detect outliers, but since the data set is small, a visual inspection is sufficient.

Without the outlier (44), the data set is {12, 15, 18, 20, 20}. The mean (or average) is calculated by adding all the numbers and dividing by the count of numbers, which results in a mean of (12 + 15 + 18 + 20 + 20) / 5 = 17. The median, which is the middle number when the data is sorted, is 18. The mode, the number that appears most often, is 20 in this case. As for the range, which is the difference between the largest and smallest number, it's 20 - 12 = 8.

With the outlier included, the mean becomes (12 + 15 + 18 + 20 + 20 + 44) / 6 = 21.5, the median remains 18, the mode is still 20, and the range expands to 44 - 12 = 32. Clearly, the outlier has a significant effect on the mean and range, causing them to increase, while the median and mode are less impacted due to their nature of being more resistant to extreme values. The presence of an outlier shows some degree of sampling variability and may introduce induced variability in the analysis of data.

How is factoring a trinomial different than factoring a number?

Answers

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

Final answer:

Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.

Explanation:

Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.

On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.

In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.

Pls help me math work

Answers

Answer:

180.48[tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle = bh

Area of a circle = π[tex]r^{2}[/tex]

Rectangle = 8 x 10 = 80

Circle = 3.14([tex]8^{2}[/tex]) = 200.96

But because it's a hlaf circle, divide the number by 2

100.48

Now add the numbers together

180.48[tex]ft^{2}[/tex]

In the school yearbook, it costs $10 per square Inch for advertisements. What is the cost for a full page ad the page measures 8 inches by 11 inches?
8.80
880
80
0.88

Answers

Answer:

  (b)  $880

Step-by-step explanation:

You want the cost of an 8-inch by 11-inch ad at the rate of $10 per square inch.

Area

The area of the ad is the product of its dimensions:

  A = LW

  A = (11 in)(8 in) = 88 in²

Cost

The cost is $10 for each of those square inches:

  ($10/in²)×(88 in²) = $880

The cost of the full-page ad is $880, choice B.

Simplify the Following:
⅔ + 2³ - ⅓

a.) 6 ⅓
b.) 8 ⅓
c.) ⁷/2
d.) -6​

Answers

Answer:

B

Step-by-step explanation:

You have to evaluate the power and calculate the sum or difference in order to get the answer

The answer to your question is the letter B hope this helps

Calculate the area of the shaded region

Answers

Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

What is the horizontal distance from the plane’s starting position to its finishing position???? I will mark brainliest

Answers

Answer:

The answer would be 13.3.

Step-by-step explanation:

Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.

Answer:

13.3 kilometers

Step-by-step explanation:

You need to use Pythagorean theorem for x+3+y.

The distance you would be looking for is 4+3+6.3=13.3

Please help me! It would be very much appreciated

Answers

Answer:

Answer is x = 100 degrees.

Step-by-step explanation:

Vertically opposite angles are equal.

Then value of x is 100 degrees.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Step-by-step explanation:

[tex]x = 100 \: \: degrees[/tex]

(vertically opposite angles)

hope this helps

brainliest appreciated

good luck! have a nice day!

To make fruit punch, Tyrone needs 3 3/8 quarts of orange juice and 3 3/4 quarts of cranberry juice.

How many quarts of juice does he need in all?

Answers

7 1/8 quarts. 3 3/8 + 3 3/4 = 7 1/8. You start by adding the whole numbers together (6). Then, you have to add the fractions, but they don’t have a common denominator. You have to multiple 3/4 by 2 to get it to have a common denominator (8). This becomes 3/8 + 6/8, which is 9/8, or 1 1/8. Add the whole number (1) to the other whole numbers (6), making 7. Then add what’s left over from the other fraction (1/8). This leaves 7 1/8.

a triangular metal plate with a triangular metal plate placed in a box with a regular triangular prism with all the side edges 3 dm. It rests on the edge of the base and is inclined to the bottom of the box at an angle of 60 °. Calculate the area of ​​the plate 0.01 dm2 accuracy. Take a look at how the spacing between planes is measured.​

Answers

Answer:

6.75 dm²

Step-by-step explanation:

All the side edges in the regular triangular prism are 3 dm long. Then, the base of the triangular plate is 3 dm long, and the other two sides are: √[3² + 3²] = 4.24 dm long (a right triangle is made and Pythagorean theorem is applied).

The height of the triangular plate is: √[4.24² + 1.5²] = 4.5 dm long (again Pythagorean theorem is applied)

Area of the triangular plate is: base*height/2 = 3*4.5/2 = 6.75 dm²

If y=-16 when x=4 find x when y=48

Answers

Answer:

x= -12

Step-by-step explanation:

Assuming this is a direct variation

y = kx

When y = -16 x =4  we can find k

-16 = k*4

Divide each side by 4

-16/4 = 4k/4

-4 =k

So

y = -4k

Y = 48

48 = -4x

Divide each side by -4

48/-4 = -4x/-4

-12 =x

PLZZZZZ HELP ME HELP A DUMB CHILD OUT

Answers

Answer:

80 inches

Step-by-step explanation:

Pythagorean theorem

Question 12 (Multiple Choice Worth 5 points)
(05.02 MC)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?
Oy= -5x + 18
Oy=5x - 18
Oy=-5x - 18
O y = 5x + 18

Answers

Answer:

y = 5x - 18

Step-by-step explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.

Final answer:

The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.

Explanation:

To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using our points, this becomes:

m = (22 - 7) / (8 - 5) = 15 / 3 = 5

Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:

y - 7 = 5(x - 5) => y - 7 = 5x - 25

Solving for y to get the slope-intercept form, y = mx + b:

y = 5x + (25 - 7) = 5x + 18

So, the correct slope-intercept form equation of the line is y = 5x + 18.

What are the constant of proportionality on these two?

Answers

Answer:

k  =  y/x

as a fraction for both

Ice cream sandwiches are wrapped in white paper before they are put in a box to be sold. How many ice cream sandwiches can be wrapped with 500 square inches of paper?

Answers

We cant know this since we don't know how many square inches of paper is for one ice cream sandwich.

Will mark brainliest! Need help (50 points)

Answers

Answer:

(-4y,+12y), (z,19z)

Step-by-step explanation:

i got the same question.

Kinda late but I believe the answer is (-4y,+12y), (z,19z)

What is the probability Jane gets a cone with any ice cream and any topping?
1/12
1/4
1/2
2/3

Answers

2/3 is the correct answer

Find the x- and y-intercepts of the parabola y=−2x^2−5x+1

Answers

Answer:

View answer in the photo.

Step-by-step explanation:

Philip shoots an arrow from the top of a hill into the ground. the flight of the arrow can be modeled with the quadratic function y=-5x^2+15x+90, where y represents the vertical height of the arrow, in meters, and x represents the time, in seconds. use factoring to find the positive zero of the function. what does this zero represent? then find the maximum value of the function by completing the square. what does the maximum value represent? explain each step in your answer.

Answers

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

[tex]y=-5x^2+15x+90[/tex]

Where:

y represents the vertical height of the arrow, in meters; and x represents the time, in seconds.

(a)Positive Zero

[tex]-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6[/tex]

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

[tex]y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25[/tex]

Comparing with the vertex form:

[tex]y=a(x-h)^2+k[/tex]

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

Drag and drop the answer in the box to correctly complete the sentence.
A probability Response area indicates a chance event is most likely to occur.


answer: close to 0 close to 1 of 10 close over 100 reward: five points and cashapp:5$













Answers

A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.

What is probability?

The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.

The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.

Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.

To know more about probability, here:

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