Using the exponential growth model, estimate the population of people between 60-64 years old for December 31, 2021, if it is known that as of December 31, 2018 there were 265,167 people, use a rate of 3.41%.

Answer:

use desmos or they work pretty well

The solution of the inequality is -4<x≤1 where x≠-1

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is x²-1/x²+5x+4 ≤0

Let us factor the terms in inequality to find the solution

(x+1)(x-1)/(x+1)(x+4) ≤0

(x-1)/(x+4)  ≤0

Find the critical values where the inequality changes sign

Interval 1: x < -4

Interval 2: -4 < x < 1

Interval 3: x > 1

Test each interval to see where the inequality is true or false

For interval 1, we can choose x = -5 as a test point:

(x-1)/(x+4) = (-5-1)/(-5+4) = -6 < 0

Since the inequality is true for x = -5, it is also true for all x < -4.

For interval 2, we can choose x = 0 as a test point:

(x-1)/(x+4) = (0-1)/(0+4) = -1/4 < 0

Since the inequality is true for x = 0, it is also true for all -4 < x < 1.

For interval 3, we can choose x = 2 as a test point:

(x-1)/(x+4) = (2-1)/(2+4) = 1/6 > 0

Since the inequality is false for x = 2, it is also false for all x > 1.

Combine the intervals where the inequality is true -4<x≤1 where x≠-1 is the solution

Hence, the solution of the inequality is -4<x≤1 where x≠-1

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Answer:

It is BDE

Step-by-step explanation:

I took test edge 2021

\(\sqrt{64}+6/11\),\(\sqrt{16}+\sqrt{169}\) and 17.43 +\(\sqrt{49}\) are the rational numbers.

The rational numbers are those numbers which can be written in the form of p/q.

We cannot write √6 + √9  in the form of p/q anyways

we can write root 16 + root 169  in the form of p/q by multiplying and divide it by root 16 -6/11

similarly we can write root 16 +root 169 in the form of p/q and 17.43+ root 49 in the form of p/q  

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Answer:

210 \(\rm{cm}^2\)

Step-by-step explanation:

Area of the kites is: \(\frac{1}{2} \times3\times140=210\rm{cm}^2\)

Distance 1(d1) = 140cm

Distance 2 (d2) = 3m

➾Distance 2 can be written in cm as 3m = 300cm

Area of Kite = \(\sf{\frac{1}{2}×d1×d2}\)

➾\(\sf{\frac{1}{2}×d1×d2}\)(putting the value of d1 and d2 from the above given).

➾\(\sf{\frac{1}{2}×140×300}\)

➾\(\sf{\frac{1}{2}×42000}\)

➾\(\sf{\frac{42000}{2}}\)

➾\(\sf\blue{21000 cm^2}\)

Therefore, area of given kite is \(\sf\blue{21000 cm^2.}\)

This value can also be written in meter as \(\sf\blue{210 m^2.}\)

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

Answer:

C

Step-by-step explanation:

There's a property of cyclis quadrilaterals that say that opposite sides will add up to 180

so we have

\(5x+75=180\\\\5x=180-75\\\\5x=105\\\\x=21\)

which is option c

Answer:

(C) 10200m

Step-by-step explanation:

Dizem-nos na pergunta que um homem de negócios tem um espaço retangular de 100 m por 750 m para correr.

O primeiro passo é calcular o perímetro do retângulo.

Perímetro de um rectângulo = 2 (Comprimento × Largura)

Da pergunta,

Comprimento = 100m

Largura = 750m

Perímetro do rectângulo = 2 ( 100 + 750)

= 2(850)

= 1700m

Perímetro do rectângulo = 1700m

Somos questionados na pergunta para determinar quantos metros (Distância) um atleta viajou que tem apenas 6 voltas ao redor das extremidades do espaço.

A distância total percorrida pelo atleta ao correr é calculada como:

6 × perímetro do rectângulo.

= 6 × 1700

= 10200m

Quantos metros percorreu um atleta que deu apenas 6 voltas pelas extremidades do espaço = 10200

Step-by-step explanation:

hand towel is $5

bath towel is $9

The correct answer is d. At most 19.  indicates the area to the left of 19.5 before a continuity correction is​ used

When a continuity correction is used, it means that we are approximating a discrete probability distribution with a continuous one. In this context, the continuity correction is typically applied when approximating a discrete random variable with a continuous normal distribution.

In this case, we are looking for the area to the left of 19.5 before applying the continuity correction. The continuity correction adjusts for the discrepancy between the continuous approximation and the discrete values. Since the continuity correction involves adjusting the boundaries, we consider the area up to but not including the value 19.5.

Therefore, the statement "At most 19" indicates that we are considering the area up to and including the value 19, without including 19.5, before the continuity correction is applied.

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The narrator suggests that she now lives her life by striving to find optimism in even the worst circumstances when she adds, "I too have planted marigolds," at the conclusion of the story.

Because the narrator characterized the marigolds in the story as "Dazzling strips of bright petals bunch together in gigantic mounds warm and passionate in sun golden," the narrator's description of and response to seeing the marigolds is rather favorable.

The ability to comprehend and appreciate others as fully human beings serves as the story's central subject and marks the start of adulthood. Lizabeth felt ashamed when she realized she had wronged a genuine human being instead of a "witch" when she vented her anger at the marigolds and turned to look at Miss Lottie.

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Answer:

c is the correct option.

Step-by-step explanation:

The graph curves at y = -2 and above thus for the range of the graph is c.

Answer:

-5000

Step-by-step explanation:

hope this helps :)

Answer:

$1,920.00

Step-by-step explanation:

12,800 x 15%=1,920.00

Answer:3/16

Step-by-step explanation:

You have to divide the fractions and make the answer a reciprocal.

Hope this helps!

The plane's true bearing is $27.9°N of W, and its estimated ground speed is 473.3 mph.

Math is made more fascinating and enjoyable using Speed Maths (Vedic Maths). by assisting the child in quickly performing some improbable computations. By combining the correct amount of enjoyment, memory, skills, memory recall, and formula application, your child will become a superstar performer.

Let's start with the airplane's speed.

A bearing of N25°W corresponds to a anticlockwise angle of 65° when measured from the westward direction (W).

As a result, the airplane's velocity vector can be divided into its north-south and east-west components as shown below:

V_A,north = 480 cos(65°) ≈ 200.5 mph (northward)

V_A,west = 480 sin(65°) ≈ 447.3 mph (westward)

V_W,north = 45 sin(75°) ≈ 43.5 mph (northward)

V_W,west = 45 cos(75°) ≈ 11.3 mph (westward)

To find the net velocity of the airplane, we can add the north-south and east-west components of the airplane velocity and wind velocity separately:

V_net,north = V_A,north + V_W,north ≈ 200.5 + 43.5 ≈ 244.0 mph (northward)

V_net,west = V_A,west + V_W,west ≈ 447.3 + 11.3 ≈ 458.6 mph (westward)

Now we can use the Pythagorean theorem to find the magnitude of the net velocity:

|V_net| = sqrt(V_net,north² + V_net,west²) ≈ 473.3 mph

To find the actual bearing of the airplane, we can use the inverse tangent function:

tan⁻¹(V_net,north / V_net,west) ≈ 27.9°

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154.5

Step-by-step explanation:

left triangle and right triangle has the same degree.

M to Q 107/2 = P to R 53.5

O to N 110/2 = R to Q 55

Find X

M to N 92/2 = P to Q 46

Perimeter- 53.5+ 55+ 46= 154.5

The answer is 0.........

Answer: -2

Step-by-step explanation:

Using the rise over run strategy (y over x) you can get the answer to this problem. When the y-coordinates are subtracted (1 - (-1)) you get 2. When the x-coordinates are subtracted you get -1. Thus the answer being 2/-1 or -2 when simplified.

Answer:

28.32552

Step-by-step explanation:

multiply

Answer:

28.32552

Step-by-step explanation:

39.331 × 0.72= 28.32552

The statement,

In data collection and analysis, the determination of the unit of analysis occurs after sampling is false

What is data collection?

The process of gathering data from various sources for a particular purpose and for analysis and research is called data collection.

Data collection is a very important tool in statistics.

In data collection and analysis, at first, it is required to determine what to analysis and the unit of analysis. The topic of analysis needs to be chosen at first.

After choosing the unit of analysis,  the sample is chosen.

So, in data collection and analysis, at first unit of analysis is chosen, then sampling is done

So the statement,

In data collection and analysis, the determination of the unit of analysis occurs after sampling is false

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Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

y=(10×10)÷(1-2) =N

Step-by-step explanation:

y -is the numerical angle of triangle

10×10because the triangle have a ten angle

1-2 cause the line of triangle

Answer:

Grapes and strawberries

Step-by-step explanation: hope this helps :)

In an isosceles triangle, two of the angles are congruent, which means they have the same measure. Let x be the measure of each of the congruent angles. Then, we can use the fact that the sum of the angles in a triangle is 180 degrees to set up an equation:

x + x + 26 = 180

Simplifying and solving for x, we get:

2x + 26 = 180

2x = 154

x = 77

So each of the congruent angles in the triangle measures 77 degrees. Therefore, the other two possible angle measures are 77 degrees and 26 degrees.

Brainliest this answer if it helped!

Answer:

is a function

Step-by-step explanation:

the x coordinate do not repeat themselves

Answer:

See below

Step-by-step explanation:

X-intercepts / Zeroes / Roots:

\(f(x)=-x^2+2x+6\)

\(0=-x^2+2x+6\)

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(x=\frac{-2\pm\sqrt{2^2-4(-1)(6)}}{2(-1)}\)

\(x=\frac{-2\pm\sqrt{4+24}}{-2}\)

\(x=\frac{-2\pm\sqrt{28}}{-2}\)

\(x=\frac{-2\pm2\sqrt{7}}{-2}\)

\(x=1\pm\sqrt{7}\)

\((1+\sqrt{7},0)\) and \((1-\sqrt{7},0)\)

Y-intercept:

\(f(x)=-x^2+2x+6\)

\(f(0)=-(0)^2+2(0)+6\)

\(f(0)=6\)

\((0,6)\)

Vertex:

\(x=-\frac{b}{2a}\)

\(x=-\frac{2}{2(-1)}\)

\(x=\frac{-2}{-2}\)

\(x=1\)

\(f(1)=-(1)^2+2(1)+6\)

\(f(1)=-1+2+6\)

\(f(1)=1+6\)

\(f(1)=7\)

\((1,7)\)

Domain:

\((-\infty,\infty)\)

Range:

\((\infty,7)\)

The null hypothesis (H0) is that the proportion of computer chips that do not fail in the first 1000 hours is equal to or less than 32%. The alternative hypothesis (Ha) is that the proportion is greater than 32%. To determine if there is sufficient evidence to support the company's claim, a hypothesis test will be conducted at the 0.02 significance level.

In this scenario, the null hypothesis (H0) assumes that the company's claim is not supported, stating that the proportion of computer chips that do not fail in the first 1000 hours is 32% or less. The alternative hypothesis (Ha) asserts that the proportion is greater than 32%, supporting the company's claim.

To test the hypotheses, a sample of 1700 computer chips was examined, revealing that 35% of the chips did not fail in the first 1000 hours. The goal is to determine if this sample provides sufficient evidence to reject the null hypothesis and support the alternative hypothesis.

A hypothesis test will be conducted using a significance level of 0.02. If the p-value (the probability of observing the sample result or more extreme results under the null hypothesis) is less than 0.02, there would be sufficient evidence to reject the null hypothesis and support the company's claim.

The hypothesis test will involve calculating the test statistic (usually a z-score) and comparing it to the critical value corresponding to the significance level. If the test statistic falls in the rejection region (beyond the critical value), the null hypothesis is rejected in favor of the alternative hypothesis.

To summarize, the null hypothesis (H0) is that the proportion of computer chips that do not fail in the first 1000 hours is equal to or less than 32%. The alternative hypothesis (Ha) is that the proportion is greater than 32%. A hypothesis test will be conducted at the 0.02 significance level to determine if there is sufficient evidence to support the company's claim.

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Answer:  

(-16,-22)

Step-by-step explanation:

B (24,16)

Mid point (4,-3)

24 is -20 away from 4

16 is -19 away from -3

4-20=  -16

-3-19= -22

Answer:

48

To start you will find the area as if it was a rectangle. To do that you have to do 8x12. 8x12 = 96, but to find the area of a triangle you take the area of the rectangle and divide it by 2. 96 divided by 2 is equal to 48.

There are other methods of solving this but I think this is the easiest way!

On solving the function f(d), Terrell made 18 calls on Monday and 4 more calls each day, reaching 34 calls on Friday.

A mathematical function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are a fundamental concept in mathematics and are widely used to describe and analyze mathematical relationships and patterns.

The function f(d) is used to model the number of sales calls that Terrell made during five days, d, last week. The function is defined as follows:

f(1) = 18

f(d) = f(d-1) + 4; d ≥ 2

The first equation, f(1) = 18, states that on Monday (d = 1), Terrell made 18 sales calls. The second equation, f(d) = f(d-1) + 4, is a recursive equation that determines the number of sales calls for each day (d >= 2) based on the number of sales calls from the previous day (d-1). This equation adds 4 to the number of sales calls from the previous day to get the number of sales calls for the current day.

Using this equation, we can calculate the number of sales calls for each day of the week, as shown in the table in my previous answer. On Tuesday (d = 2), Terrell made 22 sales calls (f(2) = f(1) + 4 = 18 + 4 = 22). On Wednesday (d = 3), he made 26 sales calls (f(3) = f(2) + 4 = 22 + 4 = 26), and so on. By Friday (d = 5), Terrell made 34 sales calls (f(5) = f(4) + 4 = 30 + 4 = 34).

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