I don't quite understand when my test asks, "x when f(x)=-2" can someone please help?

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2\(\pi\)rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2\(\pi\)rh

                         = 2 x \(\frac{22}{7}\) x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

The minimum stopping distance is 800 ft.

Part A: The minimum stopping distance for a driver going at the speed limit (40 mph) is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (40 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 800 ft.

Part B: For a driver going at 45 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (45 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 925 ft, which is 15.6% greater than the stopping distance for the speed limit.

Part C: For a driver going at 50 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (50 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 1250 ft, which is 56.3% greater than the stopping distance for the speed limit.

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Answer: x=90

Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.

x

42

=

15

7

Step 1: Cross-multiply.

x

42

=

15

7

x*(7)=(15)*(42)

7x=630

Step 2: Divide both sides by 7.

7x

7

=

630

7

x=90

Answer:

x = 90

Step-by-step explanation:

7x = 42 * 15 = 630

x = 630/7

x = 90

If the cone has the same width with the cup, the height of the cone will be 6 inches.

The cup is cylindrical.

Therefore,

volume of the cup = πr²h

where

Hence,

volume of the cup = π × 1.5² × 2 = 4.5π

If the cone has the same width of the cup, the height of the cone can be calculated as follows;

4.5π  = 1  /3 πr²h

4.5π = 1 / 3 × π × 1.5² × h

4.5π = 0.75πh

h = 4.5π / 0.75π

h = 6 inches

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Answer:

The cost of each flash drive.

Yes. There has been a statistically significant change in the mean length of the bars.

The null hypothesis is that there is no change in the mean length of the bars. The alternative hypothesis is that there is a change in the mean length of the bars. The test statistic is t = -2.913, which is significant at the 5% level.

This means that there is a 5% chance of getting a result as extreme as this or more extreme if the null hypothesis is true. Therefore, we reject the null hypothesis and conclude that there has been a statistically significant change in the mean length of the bars.

The mean length of the bars before the change was 2.5 inches, and the standard deviation was 1.2 inches. The mean length of the bars after the change was 2 inches, and the standard deviation was 1 inch. The t-statistic was calculated as follows:

t = (2 - 2.5) / (1.2 / sqrt(1500)) = -2.913

The critical value for a two-tailed t-test with 1499 degrees of freedom and a significance level of 0.05 is 1.96. Since the t-statistic is less than the critical value, we reject the null hypothesis and conclude that there has been a statistically significant change in the mean length of the bars.

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Yes. There has been a statistically significant change in the mean length of the bars.

The null hypothesis is that there is no change in the mean length of the bars. The alternative hypothesis is that there is a change in the mean length of the bars. The test statistic is t = -2.913, which is significant at the 5% level.

This means that there is a 5% chance of getting a result as extreme as this or more extreme if the null hypothesis is true. Therefore, we reject the null hypothesis and conclude that there has been a statistically significant change in the mean length of the bars.

The mean length of the bars before the change was 2.5 inches, and the standard deviation was 1.2 inches. The mean length of the bars after the change was 2 inches, and the standard deviation was 1 inch. The t-statistic was calculated as follows:

t = (2 - 2.5) / (1.2 / sqrt(1500)) = -2.913

The critical value for a two-tailed t-test with 1499 degrees of freedom and a significance level of 0.05 is 1.96. Since the t-statistic is less than the critical value, we reject the null hypothesis and conclude that there has been a statistically significant change in the mean length of the bars.

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Answer:

4 lb

Step-by-step explanation:

Answer:

8.8 feet per second

Step-by-step explanation:

1 mile = 5280 feet

3600 seconds = 1 hour

6 mph = 5280(6)/3600 = 528/60 8.8 feet per second

The polynomial : y = 3.6088 x³  - 0.3494 x² + 7.7644 x + 2.1870

Given,

Table

MATLAB  code :

clc; clear all; x = [1.15; -1.95; 2.15; -0.8; 0.1]; y = [16.42; -41.1; 53.06; -5.8; 2.52]; % taking cube of x p =x³; % taking square of x q = x²; %combining all columns X = [p q x];  % model of the form ax³ + bX² + cx + d % fit model in linear model mdl = fitlm(X,y); % printing coeffecients of matrix mdl.Coefficients

The table is attached below .

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Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

226.19 cubic units

Step-by-step explanation:

radius = r = 6 units

height = h = 6 units.

To find the volume of resulting solid, subtract the volume of cone from the volume of hemisphere.

Volume of the resulting solid = Volume of hemisphere - volume of cone

                                                \(\sf \bf = \dfrac{2}{3}\pi r^3 - \dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{2}{3}*3.14*6*6*6 - \dfrac{1}{3}*3.14*6*6*6\\\\\\=(3.14*6*6*6)(\dfrac{2}{3}-\dfrac{1}{3})\\\\=3.14*6*6*6**\dfrac{1}{3}\\\\=3.14*6*6*2\\\\=226.19 \ cubic \ units\)

iStep-by-step explanation: it becomes 1/3 of what it was

Answer:

Convert your fraction to a decimal. To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.666666666666666 ... 7, which you can round to 0.67. For example, to find 2/3 of 21: 0.67 * 21 = 14.07.

Answer:

4=3

x=1

4=3x

4/3=x

1.3=x

Answer:

The required value of y is 4800

Answer:

the answer is 6x but i dont know about no starting point or multiplier sorry

Step-by-step explanation:

Answer: A, D, F

The guy above me is wrong.

Answer:

y =  x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =  x + 7 ← is in slope- intercept form

with slope m =

Parallel lines have equal slopes

line M crosses the y- axis at (0, 3) ⇒ c = 3

y =  x + 3 ← equation of line M

FOUND THIS ON THIS APP SO IM NOT 100% SURE THIS IS THE RIGHT ANSWER

OK, analicemos cada inciso:

a) Su posición o elongación a los 5 segundos

Si el período del movimiento armónico simple es 1.25 segundos, en 5 segundos habrán transcurrido 5/1.25 = 4 períodos completos.

Por lo tanto, la posición o elongación a los 5 segundos será:

x = 0.3 * cos(4*pi*t/1.25)

Sustituyendo t = 5 segundos:

x = 0.3 * cos(4*pi*5/1.25) = 0.3 * cos(20pi/5) = 0.3

b) ¿Cuál es su velocidad a los 5 segundos?

Calculamos la velocidad como la derivada de la posición con respecto al tiempo:

v = -0.3 * sen(4*pi*t/1.25)

Sustituyendo t = 5 segundos:

v = -0.3 * sen(20pi/5) = -0.3

c) ¿Qué velocidad alcanzo?

El movimiento es armónico simple, por lo que la velocidad máxima alcanzada será:

v_max = 0.3 * (2*pi/1.25) = 1

d) ¿Cuál es su aceleración máxima?

La aceleración es la derivada de la velocidad con respecto al tiempo:

a = -0.3 * cos(4*pi*t/1.25)

La aceleración máxima se obtiene tomando la derivada:

a_max = -0.3 * (4*pi/1.25)^2 = -3

Por lo tanto, la aceleración máxima es -3

We are supposed to perform the operation and then write the answer in the form

\(\( a+b i \).\)

Let us solve the given problem step by step.

Solution:

We have been given a rational number and we are supposed to simplify it and write it in the form of a+bi. Therefore, let us first simplify the given rational number.

\($$\frac{6-i}{2+i}$$ T\)

o simplify this rational number, we will multiply numerator and denominator by the conjugate of the denominator i.e. \(\(2-i\).$$\frac{(6-i)(2-i)}{(2+i)(2-i)}$$$$\frac{12-6i-2i+i^2}{4-i^2}$$$$\frac{11-8i}{5}$$\)

Therefore, the given rational number is equivalent to \(\( \frac{11}{5}-\frac{8}{5} i \).\)So, option (C) is correct.

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Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,  

So,

m∠N +  m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P  =  32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N  so the largest side is OP.

The logistic model is dP/dt = rP(1-P/K), which is in the same structure as the Schaefer model but with the variables r and K. To rewrite the Schaefer model in the same structure, let r = 1/τK, and rearrange to obtain dP/dt = r P (1 - (1 + E/K) P/K), where K and E are constants.

a) The logistic model is dP/dt = rP(1-P/K), which is in the same structure as the Schaefer model but with the variables r and K.

To rewrite the Schaefer model in the same structure, let r = 1/τK, and rearrange to obtain dP/dt = r P (1 - (1 + E/K) P/K), where K and E are constants.

Therefore, the Schaefer model can be rewritten in the form of the logistic model as dP/dt = r P (1 - (1 + E/K) P/K).

b) The solution of the logistic model is P(t) = K / (1 + A e^-rt),

where A = (P0 - K) / K and P0 is the initial population.

The Schaefer model can be rewritten as dP/dt = r P (1 - (1 + E/K) P/K), which is in the form of the logistic model. Thus, the solution of the Schaefer model is

P(t) = K / (1 + A e^-rt'),

where A = (P0 - K) / K and r' = r (1 + E/K).

c) A nonzero E in the Schaefer model reduces the rate of population growth due to predation as the population density increases.

The effect of predation will increase with the population density. In comparison to the logistic model, the carrying capacity K is reduced to K / (1 + E/K),

which means that the Schaefer model predicts a lower maximum population size due to predation. As a result, the population may experience a decline or fluctuation that the logistic model cannot account for when the predation rate is high.

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Answer:

C(1,4) , A(-2,-3), R (3,2)

Step-by-step explanation:

the formula thing for rotating 180° about the origin is (x,y) -> (-x,-y)

this doesn't mean make the number negative, but make it the opposite if that makes sense

e.g. F(2,-4) -> F(-2,4)

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

slope = −2

Once you know the slope of the line, plug it in for m in y = mx +

Step-by-step explanation:

The average depth of the water between krakatau and jakarta is 0.41 kilometers.

We have a function as ,

s= 356√d

where,

s = speed

d = depth of the water

If we have speed of tsunami as 60 kilometers per hour putting the value in the equation,

s= 356√d

60 = 356 √d

√d = 60/356

d = 0.41

Therefore, depth of the water between krakatau and jakarta is 0.41 kilometers.

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complete question:

A volcano erupted on the island of Krakatau, Indonesia. The eruption caused a tsunami(a type of wave) to form and travel into the Indian Ocean and into the Java Sea. The speeds(in kilometers per hour) that a tsunami travels can be modeled by s= 356√d where dis the depth (in kilometers) of the water.1.A tsunami from Krakatau hit Jakarta traveling about 60 kilometers per hour. What is the average depth of the water between Krakatau and Jakarta.

Answer:

C. 40%

Step-by-step explanation:

8 - black

12 - red

total: 20

8/20 = 40%