There is a small table is 54 in. create an equation to find the value of n.

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The predicted population in the year 2030 is 10 people

From the question, we have the following parameters that can be used in our computation:

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

A

Step-by-step explanation:

Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625

Then do the square root of 625.

The required measure of ∠L=25° for the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:

∠KJL = ∠JLK

Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK

∠JLK = 25°

Thus, the required measure of ∠L=25°.

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Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

0.2

Step-by-step explanation:

Present Value = $320

Before 1 One Year, Value =$400

Discount = $400-$320= $80

% Discount = (Discount/Amount Before 1 Year)*100

%D = (80/400)*100

.%D = 20% Or 0.2

The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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On applying the formula of perimeter the width of Lewis's cage is obtained as 14.86 inches.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

Mathematically, the perimeter of a rectangle can be calculated by using this formula -

P = 2(L + W)

Where -

P represents the perimeter of a rectangle.

L represents the length of a rectangle.

W represents the width of a rectangle.

For the perimeter of Becky's rectangular cage, calculate the value -

Perimeter, P = 2(L + W)

Substituting the values and solving the equation -

Perimeter, P = 2(15 + 11)

Perimeter, P = 2(26)

Perimeter, P = 52 inches.

For the perimeter of Lewis's rectangular cage, the value given is -

Length of Lewis's rectangular cage is 0.75 times the length of Becky's cage.

L = 0.75W

The value for perimeter will be -

Perimeter, P = 2(L + W)

Solving the equation -

52 = 2(0.75W + W)

26 = (0.75W + W)

1.75W = 26

Width, W = 26/1.75

Width, W = 14.86 inches.

Therefore. the value for width is obtained as 14.86 inches.

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According to the given information, the regular price of a single T-shirt is shs 100.

The problem statement does not provide enough information to determine the rate of return or interest rate. In the absence of this information, it is not possible to calculate the rate of return or interest rate earned on the capital contributions or on the profit made by the company.

Let's assume that the regular price of a single T-shirt is x shillings.

During the sale, for every two T-shirts purchased at the regular price, a third T-shirt was bought for shs 100. This means that three T-shirts were sold for the price of two T-shirts plus shs 100, or:

2x + 100 = 3(x)

Simplifying and solving for x, we get:

x = 100

So the regular price of a single T-shirt is shs 100.

Now, we're told that twelve T-shirts were sold for shs 12,000. If we assume that all of these T-shirts were purchased during the sale, then 8 of the T-shirts were purchased at the regular price and 4 of the T-shirts were purchased for shs 100 each.

So the total amount spent on the 8 T-shirts purchased at the regular price is:

8x = 8 * 100 = shs 800

And the total amount spent on the 4 T-shirts purchased for shs 100 each is:

4 * 100 = shs 400

Therefore, the total amount spent on all 12 T-shirts is:

shs 800 + shs 400 = shs 1,200

This matches the total amount mentioned in the problem statement, which means that our assumption that all of the T-shirts were purchased during the sale is correct.

Therefore, according to the given information, the regular price of a single T-shirt is shs 100.

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The standard deviation of the sampling distribution is; Option A: 3.750

Standard deviation is defined as a measure of how spread out numbers usually are. It is further said to be the square root of the Variance, and then the variance is the average of the squared differences from the Mean.

Now, we are given;

Population standard deviation; σ = 15

Sample size; n = 16

Formula for sample standard deviation in this regards is;

s = σ/√n

Plugging in the relevant values gives;

s = 15/√16

s = 15/4

s = 3.750

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The domain of the function √(100x²) will be (-∞,∞) as the definition of domain states that the set of inputs that a function will accept is known as the domain of the function in mathematics. 

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input.

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here,

The function is √(100x²).

The domain would be (-∞,∞).

The set of inputs that a function will accept is known as the domain of the function in mathematics, and the domain of the function √(100x²) will be (-∞,∞), according to the definition of domain.

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Answer:

its subject matter about eco

Step-by-step explanation:

mark brainlist pzz✌️

Answer:

-$130

Step-by-step explanation:

\( - 780 \div 6 = - 130\)

Each owner of the company suffers a $130 loss.

The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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Full question attached

Answer:

Paired t test

Explanation:

The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

The sacks in factory A = 3386

and the sacks in factory B = 17414

What is a system of equation?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: There was a total of 20800 sacks of rice in Factory A and Factory B.

Let us assume

The sacks in factory A = x

and the sacks in factory B = y

∴ x + y = 20800

y = 20800 - x

After of 3/4, the sacks of rice in Factory A and 3/5 of the sacks of rice in Factory B were sold.

∴ 3x/4 + 3y/5 were sold

x -3x/4 + y - 3y/5 = x + 1040 + x

x -3x/4 + 20800 - x -3/5(20800 - x) = 2x + 1040

-3x/4 + 20800 - 12480 + 3x/5 = 2x + 1040

-43x/20 = -7280

x = 3386.046

y = 17413.95

Hence, The sacks in factory A = 3386

and the sacks in factory B = 17414

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Answer:

15

Step-by-step explanation:

5 x 3 = 13

15 servings are possible.

The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B

B. III

A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.

The shape of the shaded figure is an L-shape

The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.

The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;

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Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

The stem and leaf plot that correctly represents the data sets is

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

Option B is the correct answer.

We have,

The following data set shows the values collected by the manager.

{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}

Now,

We make the stem and leaf plot as:

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

Here,

3 can be written as 03 and 0 can be written as 00.

Thus,

The stem and leaf plot that correctly represents the data sets is

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

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