How do you tell if a graph is exponential or logarithmic?.

Answer:

112

Step-by-step explanation:

add both bases the multiply by the height

Answer:

112

13 + 15

= 28 ÷ 2

= 14 × 8

= 112

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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The correct order of the set of numbers from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5 option (D) is correct.

To order the given set of numbers from least to greatest, we need to compare their values. We start by noticing that 2 and 3 over 4 are equivalent to 2.75. Next, we compare the values of the remaining numbers. Since the square root of 5 is approximately 2.236 and 5 over 2 is equivalent to 2.5, we have:

2, 3 over 4 < 2.71 repeating 71 < 2.5 < square root 5

Therefore, the set of numbers in order from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5.

Ordering the set of numbers from least to greatest, we get:

2, 3 over 4, 2.71 repeating 71, square root 5, 5 over 2.

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The complete question is:

Order the set of numbers from least to greatest: (Group of answer choices)

A. 2.71 repeating 71, 2, and 3 over 4, square root 5, 5 over 2.

B. square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4

C. 5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4

D. 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5

The width of the confidence interval decreases and becomes narrower (D) when the analyst takes a random sample of 30 firms and constructs a confidence interval for the mean return for the prior year, holding all else constant.

When the sample size is increased, the sample mean becomes a better estimator of the population mean, and therefore the standard error of the mean decreases.

Thus, the option (c) which states that the standard error of the mean decreases and becomes wider is incorrect.

Hence, the option (d) is the correct answer.

When the sample size is increased, the standard error of the mean decreases, resulting in a narrower width of the confidence interval.

The formula to calculate the width of the confidence interval is given by;

Width of the Confidence Interval = 2 x Standard Error of the Mean

Thus, if the standard error of the mean decreases, the width of the confidence interval will also decrease.

Hence, the option (d) which states that the width of the confidence interval decreases and becomes narrower is the correct answer.

The standard error of the mean (SEM) is the standard deviation of the sample means' distribution.

It is used to estimate the population mean's standard deviation based on the sample data.

The standard error of the mean (SEM) is inversely proportional to the sample size.

As the sample size grows larger, the SEM gets smaller, indicating a more precise estimate of the population mean.

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Answer:

There is answer for you sorry but this problem can not be put into standard form i tried but it didn't make any sense maybe you could rewrite the problem but that all i can do for you

Step-by-step explanation:

For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

The question gives: \(t=2\pi *\sqrt{\frac{m}{k}}\) and from the previous equation, you should find \(m=\frac{kt^2}{4\pi ^2}\).

STEP 1 - Applying the power 2 on both sides of the equation \(t=2\pi *\sqrt{\frac{m}{k}}\).

\(t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}\)

STEP 2 - Rewriting the equation  \(t^2=4\pi ^2*\frac{m}{k}\)  as a function of the variable m .

\(t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}\)

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Answer:

1. divide both sides of the equation by 2pi

2. square both sides of the equation

3. use the rule to simplify a fraction to a power

4. multiply both sides of the equation by k

Step-by-step explanation:

edg '22

The given triangle is a right triangle

The coordinates are given as:

D (0,n), E(m,n), F(m,0)

The length is calculated using:

\(l=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\)

So, we have:

\(DE=\sqrt{(0-m)^2 + (n-n)^2} = m\)

\(DF=\sqrt{(0-m)^2 + (n-0)^2} = \sqrt{m^2 + n^2\)

\(EF=\sqrt{(m-m)^2 + (n-0)^2} = n\)

The slope is calculated using:

\(m = \frac{y_2 -y_1}{x_2 - x_1}\)

So, we have:

\(DE = \frac{n -n}{0- m} = 0\)

\(DF = \frac{n -0}{0- m} = -\frac nm\)

\(EF = \frac{n -0}{m- m} = \mathbf{unde fined}\)

This is calculated using

\(m = 0.5 * (x_1 + x_2, y_1 + y_2)\)

So, we have:

\(DE = 0.5 * (0 + m, n+ n)=(0.5m, n)\)

\(DF = 0.5 * (0 + m, n+ 0)=(0.5m, 0.5n)\)

\(EF = 0.5 * (m + m, n+ 0)=(m, 0.5n)\)

In (a), we have:

Lengths

\(DE= m\)

\(DF = \sqrt{m^2 + n^2\)

\(EF= n\)

Slope

\(DE = 0\)

\(DF = -\frac nm\)

\(EF = \mathbf{unde fined}\)

The sides are not equal.

However, the 0 and the undefined slope implies that the triangle is a right triangle because the sides are perpendicular

It should be noted that the triangle cannot be graphed because the coordinates are not numeric

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Answer:

140 drops

Step-by-step explanation:

Length of the pool = 24 feet

Width of the pool = 14 feet

Depth of the pool = 5 feet

Volume of the pool = length × width × depth

= 24 ft * 14 ft * 5 ft

= 1,750 ft³

Volume of the pool = 1,750 ft³

He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.

Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³

= 1,750 ft³ / 50 ft³

= 35

Number of 50 cubic feet in the volume of the pool = 35

How many drops of chlorine should Jorge use to chlorinate his pool properly?

Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool

= 4 × 35

= 140 drops

Number of drops of chlorine Jorge should use = 140 drops

The value of x in the given similar triangles ADB and BCE is 4.5.

To solve for x in the given similar triangles ADB and BCE, we can set up the proportion of corresponding sides:

In triangle ADB, we have:

AB/BD = x/DE

Substitute the given values:

3/4 = x/6

Now, cross-multiply and solve for x:

3 * 6 = 4x

18 = 4x

x = 18/4

x = 4.5

So, the value of x is 4.5.

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Answer:

A = 14 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 14 and h = 2 , then

A = \(\frac{1}{2}\) × 14 × 2 = 7 × 2 = 14 mm²

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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For the linear function we have:

domain: (1, 4)

range: (-12, 2)

And the graph is on the image at the end.

Here we want to graph the function:

f(x) = 4 - 2x

We want to graph this on the interval 1 < x < 4

Then the domain is (1, 4)

And the range is given by:

(f(4), f(1))

These values are:

f(4) =4 - 4*4 = 4 - 16  =-12

f(1) = 4 - 2*1 = 2

So the range is (-12, 2)

And the graph of the linear function is on the image below:

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Answer: it would take him 10 hours to make 120 paper

The bijection could be defined from the set of numbers and it is proved.

We can define a bijection f from S to T as follows: for any integer x in S, let f(x) = x + 1.

To show that f is a bijection, we need to prove that it is both injective and surjective.

To prove that f is injective, suppose f(x) = f(y) for some x, y in S. Then x + 1 = y + 1, which means x = y. Thus, f is injective.

To prove that f is surjective, let y be an arbitrary element of T. Since y is odd, we can write y = 2n + 1 for some integer n. Now consider the element x = 3n in S. We have f(x) = x + 1 = 3n + 1 = y, so f is surjective.

Therefore, f is a bijection from S to T, so |S| = |T|.

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The probability of Blue is  0.345 (rounded to three decimal places)

Probability is a measure of the likelihood or chance of an event occurring.

In the given table, we have been asked to find the probability of getting the color blue. From the table, we see that the color blue occurs 49 times out of a total of 142 items.

We see that there are 51 red items, 49 blue items, and 42 green items, for a total of 142 items.

Finally, we can calculate the probability of getting the color blue by dividing the number of blue items by the total number of items:

P(Blue) = Number of blue items / Total number of items

= 49 / 142

= 0.345 (rounded to three decimal places)

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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The domain of the exponential function in this problem is given as follows:

0 ≤ n ≤ 5.

The exponential function in this problem is defined by the rule presented as follows:

g(n) = 10(1.02)^n.

In which the variables are listed as follows:

When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:

10(1.02)^n = 11.04

(1.02)^n = 11.04/10

log[(1.02)^n] = log(11.04/10)

Applying the logarithm of power property, we have that:

nlog(1.02) = log(11.04/10)

n = log(11.04/10)/log(1.02)

n = 5.

The domain is the number of days for which the student was realized, hence:

0 ≤ n ≤ 5.

As the number of days cannot assume negative values.

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The perimeter of the cross-section of the rectangular prism is 42 meters.

The cross-section formed by the plane that contains points D, E, K, and L is a trapezoid with bases DE and KL and height 5.

The length of DE can be found using the Pythagorean theorem: DE = √((EK - DK)² + (EL - DL)²) = √((12 - 4)² + (0 - 0)²) = 8 meters.

Similarly, the length of KL is also 8 meters.

Therefore, the perimeter of the cross-section is the sum of the lengths of the sides of the trapezoid, which is given by

perimeter = DE + KL + 2√((EK - DL)² + 5²)

perimeter = 8 + 8 + 2√((12 - 0)² + 5²)

perimeter = 16 + 2*√(169)

perimeter = 16 + 26

perimeter = 42 meters (rounded to the nearest tenth)

Hence, the perimeter of the cross-section is 42 meters.

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--The given question is incomplete, the complete question is given

" The rectangular prism is intersected by a plane that contains points D, E, K, and L.

What is the perimeter of the cross section?

Enter your answer in the box. Round only your final answer to the nearest tenth.

m

A rectangular prism with height 5 meters, length 12 meters, and width 4 meters. The vertices are labeled as G, D, H, L, E, F, J, and K."--

Answer:

B. ∠BAC

Step-by-step explanation:

The angle opposite the largest side has the largest angle.

The P-value is > α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.6% of the people complain about fluelike symptoms.

What is the null hypothesis?

A null hypothesis is a sort of statistical hypothesis that asserts that there is no statistical significance in a particular set of observations. Using sample data, hypothesis testing is performed to determine the believability of a theory.

Here, we have

Given: In a clinical trial, 18 out of 863 patients taking a prescription drug daily complained of flu-like symptoms. Suppose that it is known that 1.6% of patients taking competing drugs complain of flu-like symptoms.

np₀(1-p₀) = 863×0.016×(1-0.016) = 13.6 > 10,

The sample size is greater than 5% of the population size, and the sample mean is 13.8 and the variance is 13.6, the requirements for testing the Hypothesis are satisfied.

H₀: P=0.016

H₁: P>0.016

Test-Statistic:

Z₀ = P₀-P/√P*(1-P)/n)

~ N(0,1)

Under : H₀

Z₀ = (18/863)-0.016/Sqrt(0.016*0.984/864)

Z₀ = 1.14

The P-value is given by :

P( Z>1.14)= 0.127 ( Find using Z table)

Hence, the P-value is > α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.6% of the people complain about fluelike symptoms.

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Answer:

3/8

Step-by-step explanation:

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

Answer:

3/8

Step-by-step explanation:

Answer:

1,1 2,2 x=y so it would be the same numbers for both points

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

7 × 2 + 5 - x = 6 × 2 + 10

Multiply.

14 + 5 - x = 12 + 10.

Combine like terms.

19 - x = 24

Isolate x (I'm going to add x and subtract 24 from both sides to avoid changing signs)

-5 = x

Final answer

x = -5

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit.

Linear equation are those in which power is 1 or maximum degree is 1. For example: x + y = 3 here the maximum degree is 1.

Quadratics equation are those in which power is 2 or maximum degree is 2. For example: X² + 6X + 3 = 0. here the maximum degree is 2.

Here, we have given two equation:

Y = 3X

Y = 6X²

To find the limit we will equate the both equation:

3X = 6X²

6X² - 3X = 0

3X ( 2X - 1 ) = 0

here we get two values of X, X = 0 and X = 1/2

so, Lower limit = 0 and Upper limit = 1/2.

Area = \(\int\limits^ \frac{1}{2} _0 {(3x - 6x^{2} ) } \, dx\)

Area = ( 3/2 ( x ⁸ )  - 2 ( x³ ) )          --- Limit from: 0 to 1/2

Area = (3/2 ( 1/2 ² ) - 2 ( 1/2 ³) ) - ( 3/2 ( 0² ) - 2 ( 0³) )

Area = 3/8 - 1/4 - 0 + 0

Area = 1/8 sq. unit

Hence,

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit. For graph See the attached image.

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Answer:

180

Step-by-step explanation:

The definition of angles that are supplementary is that their measures add to 180°.

Answer:

See below for an explanation

Step-by-step explanation:

I'm unsure of your answer choices, so I'll show you how to solve for the remainder of the whole triangle:

Since we are given a hypotenuse of 5 and a side length of 4 which is adjacent to ∅, the trig function to solve for ∅ would be cosine because cos∅=adjacent/hypotenuse (SOHCAHTOA). This means cos∅=4/5 and taking the arccos (the inverse of cosine aka. cos^-1) of both sides gets us ∅=36.87°

Side AC can be solved by using the Pythagorean Theorem since a²+b²=c² can be turned into 4²+b²=5². We would then have 16+b²=25 which is also b²=9, thus taking the square root of both sides gives us b=3 (since distance is positive). Thus, side AC has a length of 3 units.

∠A can be found by using the Triangle Angle-Sum Theorem. Since all the interior angles of a triangle must add up to 180°, then ∠A+∠B+∠C=180°. We know that since ∠B=36.87° and ∠C=90°, then we have the equation ∠A+36.87°+90°=180°. Combining like terms on the left side gets us ∠A+126.87°=180° and subtracting on both sides get us ∠A=53.13°

Final sides and angles of the triangle:

∠A=53.13°

∠B=36.87°

∠C=90°

BC=4

BA=5

AC=3

The implicit equation is 3x+ z -13=0

An implicit equation for the plane through (4,-3,1) normal to the vector <3,0,1> is:
ax + by + cz + d = 0

where a = 3, b = 0, c = 1, d = -13

Implicit function is a function with multiple variables, and one of the variables is a function of the other set of variables. A function f(x, y) = 0 such that it is a function of x, y, expressed as an equation with the variables on one side, and equalized to zero. An example of implicit function is an equation y2 + xy = 0.

The relation y = f(x) is an explicit function, with y represented in terms of x. Further in a implicit function, the relationship between x and y is expressed as g(x, y) = 0, where y is an implicit function of x. More specifically the value of x defines the value of y such that on substitution of x, y in the expression on the left-hand side, equalizes it to zero.

Also, a function f(x, y, z) = 0 such that one variable is dependent on the other two variables, is an implicit function.

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