If twenty-eight is subtracted from the product of a number and five the result is twenty-two. What is the value of the number?

pls help

Answer:

Step-by-step explanation:

To graph the function h = -16t^2 + 52, we can create a table of values and plot the points:

t h

0 52

0.5 42

1 36

1.5 34

2 36

2.5 42

3 52

Then we can plot these points on a coordinate system to get the graph of the function:

Graph of h = -16t^2 + 52

To find the time at which the stick hits the ground, we need to set h = 0 and solve for t:

0 = -16t^2 + 52

16t^2 = 52

t^2 = 3.25

t = ±√3.25

Since time cannot be negative in this context, we take the positive value:

t ≈ 1.8 seconds

Therefore, the stick hits the ground after approximately 1.8 seconds.

To describe a reasonable domain and range for the function, we need to consider the context of the problem. Since the height of the stick is measured in feet, we can assume that t represents time in seconds. In this case, a reasonable domain for the function would be t ≥ 0, since time cannot be negative. For the range, we can see from the graph that the maximum height of the stick is 52 feet, and the minimum height is 0 feet (when the stick hits the ground). Therefore, a reasonable range for the function would be 0 ≤ h ≤ 52.

Answer: Bar graph

Step-by-step explanation:

You would use a bar graph because the researcher is using categorial data  so the best way to present this type of data are bar graph, pie charts and frequency tables. We wouldn't use a pie chart here because we are not comparing multiple things so a bar graph would be the best visual presentation.

Hope this helps:)

Answer:

The Correct answer is C

10<_y>_14

Answer:  A

Step-by-step explanation:

The question is asking for the range, which means for the whole function where do you have y values.

you have y values from 0 to 14

I sometimes use a horizontal line.   If the function is touching the horizontal line than that is where you have a y value.

Answer:

The line graph because it shows how the number of miles increases over the number of minutes.

Step-by-step explanation:

ake it or leave it

The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."

A graph can be defined as a visual representation or a diagram that represents data or values.

The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)    Time (minutes)

    10                                 15

   20                                 30

   30                                 45

   40                                 60

A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.

Hence, the correct answer would be an option (A).

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The two back to back regular numbers are 5 and 6.

Assume that the two natural numbers that come after each other are x and (x+1).

As per the given data, the amount of their squares is 110. This can be summed up in the following equation:

x^2 plus (x+1)^2 equals 110 Extending the equation:

x^2 + (x^2 + 2x + 1) = 110 When combining terms that are similar:

110 is the result of rearranging the equation as follows:

Simplifying: 2x^2 + 2x + 1 - 110 = 0.

Using the quadratic formula, we can now solve this quadratic equation to determine the value of x: 2x^2 + 2x - 109 = 0.

x = (- b ± √(b^2 - 4ac))/(2a)

In this situation, a = 2, b = 2, and c = - 109.

Simplifying within the square root: x = (-2 - (22) - 42(-109))) / (2*2).

x = (-2 (4 + 872)) / 4 x = (-2  876) / 4 We now have two possibilities for the value of x:

The values are as follows: x1 = (-2 + 876/4) x2 = (-2 - 876/4)

x₁ ≈ 5.03

x₂ ≈ - 13.03

Since we are searching for regular numbers, x can't be a negative worth. Thus, x equals 5.

The two back to back regular numbers are 5 and 6.

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The two equations are equivalent and represent the same line since the second equation can be obtained from the first equation by multiplying both sides by 3.

The given equations are:2y = x + 10 ..........(1)3y = 3x + 15 .......(2)

Let us check the properties of the equations given, we get:

Properties of equation 1:It is a linear equation in two variables x and y.

It can be represented in the form y = (1/2)x + 5.

This equation is represented in the slope-intercept form where the slope (m) is 1/2 and the y-intercept (c) is 5.Properties of equation 2:

It is a linear equation in two variables x and y.

It can be represented in the form y = x + 5.

This equation is represented in the slope-intercept form where the slope (m) is 1 and the y-intercept (c) is 5.

From the above information, we can conclude that both equations are linear and have a y-intercept of 5.

However, the slope of equation 1 is 1/2 while the slope of equation 2 is 1, thus the equations have different slopes.

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The random samples of 400 with true proportion in the range of the 27% to 32% correct option is ,

A. The result is not unusual as the probability which is p less than or equal to the sample proportion is 0.5, that is greater than 5%.

To determine whether it would be unusual for a random sample of 400 adults to result in 108 or fewer not owning a credit card,

Calculate the probability of obtaining such a result if the true proportion is within the expected range of 27% to 32%.

The sample proportion, denoted as p, can be calculated by dividing the number of adults who do not own a credit card by the total sample size.

Here, p = 108/400 = 0.27.

To determine the probability, use the normal approximation to the binomial distribution since the sample size is large (n = 400).

The mean of the binomial distribution is np, and the standard deviation is √(np(1-p)).

Here, np = 400 × 0.27

              = 108

and √(np(1-p)) = √(400 × 0.27 × 0.73)

                       ≈ 8.654.

To calculate the probability, standardize the value using the z-score formula,

z = (x - μ) / σ,

where x is the observed value, μ is the mean, and σ is the standard deviation.

For 108 or fewer adults not owning a credit card, the z-score is,

z = (108 - 108) / 8.654

  ≈ 0  

The probability that p is less than or equal to the sample proportion can be obtained by the z-score in the standard normal distribution calculator.

Since the z-score is 0, the corresponding probability is 0.5.

Therefore, for the given random samples the correct option is A. The result is not unusual because the probability that p is less than or equal to the sample proportion is 0.5, which is greater than 5%.

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Answer:

328

Step-by-step explanation:

Since 41 is a prime number, you would have to multiply 8 by 41 and get 328.

Answer:The LCM is 328

Step-by-step explanation:Find the multiples of 8 and 41.

Multiples of 8:  8, 16, 24, 32, 40, 48, 56,64,72,80,88,96,102,110,118, etc

(For this keep adding 8 into you find a same number which is 328)

Multiples of 41: 41, 82, 123, 164, 205, 246, 287,328

They both have the number 328.

Hope it helps.

Answer:

Step-by-step explanation:

H

Add the 4 numbers together for the total soup sold:

4 + 4 + 7 + 2 = 17

Divide the number of chicken noodle in a cup by total sold:

7/17

The answer is 7/17

The answer is (C) 5/2 i.e. the time t guaranteed by the Mean Value Theorem is 5/2.

What is Mean Value Theorem ?

The Mean Value Theorem (MVT) for derivatives states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in (a, b) such that:

f'(c) = \(\frac{f(b) - f(a)}{(b - a)}\)

In this problem, we want to find the time t guaranteed by the MVT when the instantaneous velocity of the rock equals the average velocity between t=0 and t=5/4 seconds.

The instantaneous velocity of the rock at time t is given by the derivative of s(t):

s'(t) = -32t

The average velocity between t=0 and t=5/4 seconds is given by the slope of the line connecting the points (0, s(0)) and (5/4, s(5/4)):

Savg(t) = \(\frac{s(5/4) - s(0)}{5/4 - 0}\) =\(\frac{100 - 16*(5/4)^2}{5}\)

We want to find the time t guaranteed by the MVT when s'(t) equals Savg(t), i.e., when:

\(-32t = \frac{100 - 16*(5/4)^2}{5}\)

Solving for t gives:

t = 5/2

Therefore, the answer is (C) 5/2.

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The value of x in the given equation is 24.

Given equation:

(2/3)x + 4 = (5/6)x

We have to find the value of x by eliminating the fraction.

Fraction

Fraction is  termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.

LCM (3,6) = 6

Multiplying the whole equation by 6, we get:-

(2/3)x*6 + 4*6 = (5/6)x*6

4x + 24 = 5x

5x - 4x = 24

x = 24

Hence, the value of x is 24.

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So, √2. √√2. √√5 is equivalent to 2√5, which is the same as 4√5.

A linear function is a mathematical function that can be expressed in the form of:

y = mx + b

where "x" and "y" are variables, "m" is the slope or rate of change of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).

The equation represents a straight line on a graph, where the slope "m" determines how steep the line is, and the y-intercept "b" determines where the line crosses the y-axis.

Linear functions have a constant rate of change, meaning that for every unit increase in x, there is a corresponding constant increase or decrease in y, which is determined by the slope "m".

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The value of x, considering the similar triangles, is given as follows:

x = 26.

Similar triangles are triangles that share these two features listed as follows:

The two triangles in this problem are similar, due to the bisection, hence the equivalent side lengths are given as follows:

Then the proportional relationship is given as follows:

x/13 = 10/5.

Meaning that the value of x is given as follows:

x/13 = 2

x = 26.

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Answer:

1.

Step-by-step explanation:

Since the line segment FH bisects angle EFG, angle HFG = Half of Angle EFG.

Angle EFG = 177 - 9x. Angle HFG = 92 - 8x.

177 - 9x = 2(92 - 8x)

177 - 9x = 184 - 16x

7x = 7

x = 1.

Step-by-step explanation:

x=85 hope it helps you. mark as brilliant

In order to solve this quadratic equation by completing the square, let's analyse the coefficient b by comparing the equation with the standard form:

We have b = -12. In order to be a perfect square, the coefficient c needs to be (-12/2)^2 = (-6)^2 = 36

We already have 30, so we just need to add 6:

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

The difference quotient for f(x) = 3x2 – 12 is 6x + 3h

The function is given as:

f(x) = 3x^2 – 12.

Calculate f(x + h)

f(x + h) = 3(x + h)^2 – 12

The difference quotient is then calculated using:

\(f'(x) = \frac{f(x + h) - f(x)}{h}\)

This gives

\(f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}\)

Evaluate the difference

\(f'(x) = \frac{3(x + h)^2- 3x^2}{h}\)

Expand

\(f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}\)

Evaluate the difference

\(f'(x) = \frac{6xh + 3h^2}{h}\)

Evaluate the quotient

f'(x) = 6x + 3h

Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h

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The range of scores that lies within two standard deviations from the mean is (43.68, 56.32), the lowest score which lies two standard deviations above the mean is 56.32, and the highest score which lies three standard deviations below the mean is 40.52.

The random variable X has a normal distribution with mean 50 and variance of 10. The standard deviation of X is the square root of the variance, which is √10 ≈ 3.16.

a. The range of scores that lies within two standard deviations from the mean is (50 - 2*3.16, 50 + 2*3.16) = (43.68, 56.32).

b. The lowest score which lies two standard deviations above the mean is 50 + 2*3.16 = 56.32.

c. The highest score which lies three standard deviations below the mean is 50 - 3*3.16 = 40.52.

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The correlation and the slope always have the same sign (+ or −), meaning that if the correlation is positive, the slope will also be positive and vice versa.

The slope and the correlation are two important measures in statistics. The slope of a line represents the change in the dependent variable (y) for every 1 unit change in the independent variable (x).

In the case of the least-squares line, the slope (m) and the correlation (r) have a relationship.

It is important to note that the slope of the line is always equal to the correlation times the ratio of the standard deviation of the dependent variable to the standard deviation of the independent variable.

This can be represented mathematically as:

=> m = r * (SDy/SDx).

Therefore, the correlation (r) always has a value between −1 and 1, indicating the strength of the relationship between the variables. If r is close to 1, the relationship between the variables is strong and positive.

On the other hand, if r is close to −1, the relationship between the variables is strong and negative.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

The study conducted by the insurance company is an example of a longitudinal study.

A longitudinal study is a research design that involves collecting data from the same group of individuals over an extended period. In this case, the researchers collected data from the same group of drivers over a 10-year period.

The purpose of this study was to identify safe drivers, and the researchers collected data from a sample of 1,000 drivers. The sample size is an essential consideration in research because it affects the accuracy and reliability of the results.

A larger sample size generally provides more accurate results than a smaller sample size.

The researchers examined the driving records of the participants over a 10-year period. Driving records typically include information such as traffic violations, accidents, and other incidents that may affect a driver's safety on the road.

By examining these records, the researchers could identify drivers who had a history of safe driving.

The findings of this study can be used by the insurance company to develop policies and pricing strategies that encourage safe driving behavior.

For example, they may offer lower premiums to drivers who have a history of safe driving.

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The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Answer:

$49.35

Step-by-step explanation:

The formula for finding interest is I=Prt, where I is the interest, P is the principal, r is the rate, and t is the time.

I=(940)(0.07)(\(\frac{9}{12}\))

Since we are working with months, we have to put 9 months over the total number of months in a year, 12.

\(\frac{9}{12}\) simplifies to 0.75.

I=(940)(0.07)(0.75)

I=49.35

The interest is $49.35.

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Answer: The answer is B

Step-by-step explanation:

Look at A- You can see that it wants you to go to English and see that 50 freshmen chose english. Then, you go to undecided, you see that it has 50 freshmen who chose it as well. They are the same, so it is false.

Look at B- You can see that it wants you to go to Education and see that 60 people chose Education. Then you go to both Science or other and see that they are both less than Education. So, this statement would be correct.

Look at C- You can see that it wants you to go to business or Education and see that 45 people chose business and 60 people chose education. Go to science, 35 people chose science and 40 chose engineering. This is false.

Look at D- 45 people chose business as their major and 50 chose english as their major, so no this wouldn't be correct because 45 if less than 50 and it says that it would be greater than 50.

So, B would be the correct answer to this problem.

To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.

Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).

The distance formula is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:

radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)

The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:

x^2 + y^2 = (2sqrt(5))^2 = 20

So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.

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Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = \(\frac{Area}{length}\)

             \(= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5\)

The value of the integral ∫x²dV using cylindrical coordinates is 512π / 3 .

In this case, the solid is positioned between the cylinder x² + y² = 4 and will be evaluated by using the cone z²= 16x² + 16y² .

Cylindric coordinates will be used to calculate this integral  \(\int\limits_e {x^2} \, dx\).

The distance from the origin to the point (x, y, 0) and the angle the point (x, y, 0) makes with the x-axis, respectively, are provided by the formulas.

x = r cos θ

y= r sin θ

With these coordinates, we shall characterize the solid E.

The boundary is then x² + y² = r²

The boundary also becomes r² = 4 or ( 0 ≤ θ ≤ r² )

Again z = 16r²

The original integral must now be translated into terms of these new coordinates. It is necessary to multiply the function by the Jacobian of the change in coordinates in order to ensure that the result remains the same. The value for the cylindric coordinates is r. Then

\(\int_ex^2 dx = \int\limits^{2\pi}_0\int\limits^2_0\int\limits^{16r^2}_0 r(r^2cos^2\theta)dzdrd\theta\)

\(=\int _0^{2\pi }\int _0^216r^5\cos ^2\theta drd\theta\)

\(=\int _0^{2\pi }\frac{512}{3}\cos ^2\theta d\theta\)

= 512/3 π

Hence the volume of the solid that is enclosed by the integral is given by 512/3 π .

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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

They are perpendicular

Step-by-step explanation:

The slopes are opposites