The change in the population of fruit flies can be modeled by the equation P\left(t\right)=3\ \left(1.50\right)^t , where t is time in days. Which statement describes the change in the population of fruit flies?

a
15% increase daily
b
50% increase daily
c
150% increase daily
d
1.5% increase daily

Answer:

It depends what the school looks like on the map. The school is a quadrilateral if it has 4 sides. The school is a parallelogram if it has at least 1 pair of parallel sides.

Answer:

19

Step-by-step explanation:

9514 1404 393

Answer:

  49°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  ∠A +∠B +∠C = 180

  (x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees

  5x +95 = 180

  5x = 85

  x = 17

  x +32 = 49 . . . . measure of ∠A

Hello,

\(a\neq 0\\\\\dfrac{\dfrac{1}{a+1} }{a-\dfrac{1}{a+\dfrac{1}{a} }} \\\\\\=\dfrac{\dfrac{1}{a+1}}{\dfrac{a(a^2+1)+a} {a^2+1} }\\\\\\=\dfrac{a^2+1}{a(a+1)(a+2)}\)

Answer: 3 Nickles.

Step-by-step explanation:

22 quarters adds up to $5.50

The remaining 15c is accounted by the last 3 coins, which are nickles.

The zeroes of the equation  x^4 – 6x^2 – 7x – 6=0 are x = -2 and x = 3

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

x^4 – 6x^2 – 7x – 6=0

The zeroes of the equation can be calculated by plotting the graph

When the graph is plotted (see attachment), we have the zeros to be

x = -2 and x = 3

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Answer:

18cm = 45km

Step-by-step explanation:

Divide 18 by 4 to get 4.5. Multiply 4.5 by 10 to get 45km.

Answer:

115 degrees

Step-by-step explanation:

The third angle will measure 115° so option (A) will be correct.

The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Sum of all three internal angles of the triangle = 180°

Sum of two angles + third angle = 180°

Given that,

Two angles of a triangle add up to 65° so

65° + third angle = 180°

Third angle = 180 - 65°

Third angle = 112°

Hence the third angle will be 112° measure.

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Answer:

88 Vegetarian Wraps Sold.

Step-by-step explanation:

This is a System of Equations Problem.

Your Two Systems Are:

v(1)+c(2.7)=244.6 and c+v=146

c = chicken wraps and v = vegetarian wraps

Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.

Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)

244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.

v(1)+c(2.7)=244.6

Solve 2.7c+v=244.6 for v.

Add -2.7c to both sides.

2.7c+v+−2.7c=244.6+−2.7c

v=−2.7c+244.6

Substitute −2.7c+244.6 for v in c+v=146.

c+v=146

c+−2.7c+244.6=146

Simplify both sides of the equation.

−1.7c+244.6=146

Add -244.6 to both sides.

−1.7c+244.6+−244.6=146+−244.6

−1.7c=−98.6

Divide both sides by -1.7.

\(\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}\)

c=58

Substitute 58 for c in v=−2.7c+244.6.

v=−2.7c+244.6

v=(−2.7)(58)+244.6

Simplify both sides of the equation.

v=88

Answer:

c=58 and v=88

88 vegetarian wraps were sold.

Answer:

d. x = 14; angle measurement is 28 degrees

Step-by-step explanation:

2x is equivalent 28 so divide 28 by 2 to get 14

Answer:

Equation of this line is y = 1

Step-by-step explanation:

We have to write an equation of a line passing through (0,1) and slope 0.

Standard equation of a line in slope form is y = mx + c

Where m = slope and c = y intercept.

Since m = 0

so y = c is the equation.

This line passes through (0,1)

so equation will be Y = 1

Equation of this line is y = 1

Step-by-step explanation:

Hope this helps:)

Answer:

y = 1

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

The measure of the length of line segment CD is; 12.8

Pythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.

From the task content, the center of the circle is at point S and since CS = 4;

Hence, it follows from Pythagoras theorem that;

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Answer:

Step-by-step explanation:

3√2

Answer:

12

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/12, 3/4

For the denominators (12, 4) the least common multiple (LCM) is 12.

LCM(12, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/12 = 1/12 × 1/1 = 1/12

3/4 = 3/4 × 3/3 = 9/12

Pls mark me as brainlest

Option A. No, there is no exponent. There is no exponential function in the equation.

An exponential function is a mathematical function in the form of f(x) = a^x, where "a" is a constant base and "x" is the exponent. In this function, the variable x is usually the input, and the output value of the function is the result of the base "a" raised to the power of "x."

Exponential functions can also be written in different forms, such as f(x) = ab^x, where "a" is a constant, and "b" is the base raised to a constant power.

y = x⁵ is not an expuential function.

If y=a* It's an exponential function.

"a" is a constant and a ≠ 0

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The complete question goes thus:

Explain whether the given equation defines an exponential function. Give the base for each function.

y= x⁵

O No, there is no exponent.

Yes, the base is 5.

O Yes, the base is x.

O No, the base is not a constant.

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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The probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

Let H denote the event that the policyholder is a home renter, and A denote the event that the policyholder is an apartment renter. We are given that P(H) = 0.4 and P(A) = 0.6.

Let T denote the time from policy purchase until policy cancellation. We are also given that T | H ~ Exp(1/4), and T | A ~ Exp(1/2).

We want to calculate P(H | T > 1), the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase:

P(H | T > 1) = P(H and T > 1) / P(T > 1)

Using Bayes' theorem and the law of total probability, we have:

P(H | T > 1) = P(T > 1 | H) * P(H) / [P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)]

To find the probabilities in the numerator and denominator, we use the cumulative distribution function (CDF) of the exponential distribution:

P(T > 1 | H) = e^(-1/4 * 1) = e^(-1/4)

P(T > 1 | A) = e^(-1/2 * 1) = e^(-1/2)

P(T > 1) = P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)

= e^(-1/4) * 0.4 + e^(-1/2) * 0.6

Putting it all together, we get:

P(H | T > 1) = e^(-1/4) * 0.4 / [e^(-1/4) * 0.4 + e^(-1/2) * 0.6]

≈ 0.260

Therefore, the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

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To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Answer:

142,600,000

Step-by-step explanation:

The current population is 115,000,000

1 year = 2.4%

10 years = 24%

24% = 0.24

115, 000, 000 times 0.24 = 27,600,000

27,600,000 is the increase rate 24% after 10 years

Then we add both numbers to find the population after 10 years

115,000,000 + 27,600,000 = 142,600,000

So, the population after 10 years is 142,600,000

To find the distance between the two boats, we need to use trigonometry. The boats are approximately 66.6 meters apart.

Let's call the distance between the parasailer and the boat with a 12.5° angle of depression "x" and the distance between the parasailer and the boat with a 7° angle of depression "y".

From the angle of depression of 12.5°, we know that:

tan(12.5°) = x/75
x = 75tan(12.5°)

Similarly, from the angle of depression of 7°, we know that:

tan(7°) = y/75
y = 75tan(7°)

Now we can find the distance between the two boats by subtracting their distances from the parasailer:

distance = x - y
distance = 75tan(12.5°) - 75tan(7°)
distance ≈ 66.6 meters

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The correct value of variance of the return for this investment is closest to 0.25057.

To find the variance of the return for the investment, we need to calculate the expected return and then use the formula for variance.

The expected return is calculated by taking the average of the possible returns weighted by their probabilities:

Expected return = (35% * 0.35) + (-20% * 0.65)

= 0.1225 - 0.13

= -0.0075

Next, we calculate the variance using the formula:

Variance = \((Return1 - Expected return)^2 * Probability1 + (Return2 - Expected return)^2 * Probability2\)

Variance = (0.35 - (-0.0075))^2 * 0.35 + (-0.20 - (-0.0075))^2 * 0.65

= 0.3571225 * 0.35 + 0.1936225 * 0.65

= 0.12504 + 0.12553

= 0.25057

Therefore, the variance of the return for this investment is closest to 0.25057.

Among the given answer choices, the closest value is 0.151 (option A). However, none of the provided answer choices matches the calculated variance exactly.

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The missing terms in the sentence are "Inclination" and "Vertical."

Inclination is the angle of tilt below the imaginary horizontal plane oriented 90-degrees to the vertical direction. It refers to the angle at which an object or surface deviates from being perfectly horizontal or flat. It measures the slope or tilt of the object or surface in relation to the vertical direction.

The vertical direction is the imaginary line or axis that points directly up or down, perpendicular to the horizontal plane. It is oriented at a 90-degree angle to the horizontal direction, which is typically considered the direction parallel to the ground or any other reference plane.

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The inequality that is represented by the given graph is; y ≥ 2x - 5

The formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given linear graph, we see that the y-intercept is at y = -5

The slope is gotten by using two coordinates (3, 1) and (4,3) using the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (3 - 1)/(4 - 3)

Slope = 2

Since the Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region, then this is ≤ or ≥ .

Now, the graph is shaded above the solid line which indicates greater sign and as such, the inequality is;

y ≥ 2x - 5

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Answer:

\(2ab^{(-6)}\)

Step-by-step explanation:

Multiply exponents/group exponents

\(2ab^{(-2)} \times b^{(-4)}\\2ab^{-2 + -4}\\2ab^{-6}\)

The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:

Percentage Change in Bond Price = - (Duration * Change in Yield)

Given:

Duration = 7.29 years

Change in Yield = -0.005 (50 basis points decrease)

Using the formula, we can calculate the percentage change in the bond's price:

Percentage Change in Bond Price = - (7.29 * (-0.005))

Percentage Change in Bond Price = 0.03645

Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

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Answer:

\(\mathrm{88 + v}\)

The line integral of the vector field F = (2yi + 2xj) along a curve can be evaluated using the Fundamental Theorem of Line Integrals. The result depends on the specific curve chosen for integration.

The Fundamental Theorem of Line Integrals states that if F = ∇f, where ∇ denotes the gradient operator and f is a scalar function, then the line integral of F along a curve C from point A to point B is equal to the difference in the values of f evaluated at A and B, i.e., ∫ F · dr = f(B) - f(A).

In this case, we have the vector field F = (2yi + 2xj). To evaluate the line integral ∫ F · dr using the Fundamental Theorem of Line Integrals, we need to determine if F can be expressed as the gradient of some scalar function f.

Taking the partial derivative of 2yi with respect to x gives 0, while the partial derivative of 2xj with respect to y is also 0. Since these derivatives do not match the components of F, we conclude that F cannot be expressed as the gradient of a scalar function.

Therefore, we cannot directly apply the Fundamental Theorem of Line Integrals to evaluate this line integral. Instead, we need to parameterize the curve C and calculate the integral using the definition of line integrals. The specific curve and its bounds of integration need to be provided to obtain a numerical result for the line integral.

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Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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