determine if the function is an exponential function

f (x) = x^3

Answer:

A. Scalene & E. Right

Step-by-step explanation:

The triangle is a scalene-right triangle. It is a right triangle because it has a 90 degree/right angle. It is a scalene triangle because all 3 sides have different lengths.

Answer:

77.5

Step-by-step explanation:

First, find the cost without delivery fees

$4.50*5=$22.50

Then, the fees. $10*5=$50

Then, $50+$22.5=$77.5!

Answer:

Hope it works for u

Step-by-step explanation:

its so simple first to find the total cost for 1 sandwich

for 1 sandwich+ delivery charges

total cost for 1 sandwich= delivery charges+ sandwich cost

                                          =$10+4.50 =$14.50

Now to get total cost for 5 sandwich and also delivery charges is on each sandwich hence simply multiply total cost by 5,we get

Total cost for 5 =  5*($14.50)=$72.5 Ans.....

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Answer:

mean

Step-by-step explanation:

the mean is the sum of the terms divided by the number of terms

\(m= \frac{sum of terms}{number of terms}\).

Answer:

A

Step-by-step explanation:

(x + 12) means that you move the point c to the right by 12.

(y + 4) means that you move the point c up by 4

this will give you the point A

The image of C under the translation described by the translation rule (x, y) (x + 12, y + 4) is A.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The image of C under the translation described by the translation rule (x, y) (x + 12, y + 4) is A, As C(- 7, 2) and A(5, 6).

One block of the grid is 2 units.

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By applying Pythagoras' theorem, the length of x is equal to 10 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle, we have the following equation:

x² = y² + z²

x² = 8² + 6²

x² = 64 + 36

x = √100

x = 10 units.

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The perimeter of the square is a rational number of meters. However, the product of a rational number and an irrational number is always irrational.

If the area of a square is 7 square meters, then each side of the square is √7 meters long. The perimeter of the square is simply the sum of the four sides, which is 4√7 meters.

To determine whether 4√7 is a rational or irrational number, we need to check if √7 is rational or irrational. Since √7 is not a perfect square, it cannot be expressed as a fraction of two integers. Therefore, √7 is an irrational number.

However, the product of a rational number and an irrational number is always irrational. Since 4 is a rational number and √7 is irrational, the product 4√7 is also an irrational number.

Therefore, the perimeter of the square is an irrational number of meters.

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a) Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

b) The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

(a) To show that E is compact, we need to show that any open cover of E has a finite subcover. Let {U_i} be an open cover of E. Since E is closed in F, its complement F\E is open in F. Thus, {U_i} and F\ E together form an open cover of F. Since F is compact, there exists a finite subcover {U_i1, U_i2, ..., U_in, F\ E}. Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

(b) Let K1, K2, ..., Kn be a finite collection of compact subsets of S. Let {U_i} be an open cover of their union K= K1∪ K2 ∪ ... ∪ Kn. Then each Ki is contained in K, so {U_i} is also an open cover of each Ki. Since each Ki is compact, there exists a finite subcover {U_i1, U_i2, ..., U_ik_i} of {U_i} for each Ki. Thus, we have a finite collection of sets {U_i1, U_i2, ..., U_ik_1}, {U_i1, U_i2, ..., U_ik_2}, ..., {U_i1, U_i2, ..., U_ik_n} that covers K1, K2, ..., Kn respectively. The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

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Answer:

A. 2a

Step-by-step explanation:

imagine an imaginary 1 in front of the a

3a + 7 – 1a – 7

subtract numbers without variables

3a + 7 – a – 7

3a-1a

subtract 1a from 3a

2a

Answer:

A. 2a

Step-by-step explanation:

3a + 7 - a + 7

= 3a - a + 7 - 7

= 2a + 0

= 2a

Answer:

see explanation

Step-by-step explanation:

(4 - 7y)(7 + 4y)

Each term in the second factor is multiplied by each term in the first factor, that is

4(7 + 4y) - 7y(7 + 4y) ← distribute parenthesis

= 28 + 16y - 49y - 28y² ← collect like terms

= 28 - 33y - 28y² or

- 28y² - 33y + 28 ← in standard form

Using a general form of a confidence interval,

a. The standard error of the distribution is approximately 0.094.

b. The true proportion of gifts in all purchases on the website falls between 0.336 and 0.714.

a. To construct a bootstrap sampling distribution using StatKey, we can follow these steps:

The standard error of the distribution is approximately 0.094.

b. To construct a 99% confidence interval for the proportion of gifts, we can use the following formula:

point estimate ± z* (standard error)

where the point estimate is the proportion of gifts in the sample (21/40 = 0.525), z* is the critical value from the standard normal distribution for a 99% confidence level (2.576), and the standard error can be estimated from the bootstrap sampling distribution.

Plugging in the values, we get:

0.525 ± 2.576 × 0.094

To simplify, the confidence interval is:

(0.336, 0.714)

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The question is -

Confidence interval The owner of an online business wants to estimate the proportion of all purchases on their website that are gifts. In a random sample of 40 purchases, 21 were gifts. 1. Use StatKey to construct a bootstrap sampling distribution for a single proportion given Count = 21 and Sample Size = 40. Include a screenshot of that sampling distribution here. What is the standard error of that distribution? 2. Use the general form of a confidence interval to construct a 99% confidence interval to estimate the proportion of all purchases on this website that are gifts. Remember to always show all of your work. For a review of this procedure, see page 7.4.2 in the online course notes.

Answer:

5 ^ (1/12)

Step-by-step explanation:

5 ^ 1/3

-----------------

5 ^ 1/4

When we divide exponents with the same base, we subtract the exponents

5 ^ (1/3 -1/4)

Getting a common denominator

5 ^ ( 4/12 - 3/12)

5 ^ (1/12)

Answer:

\(\Huge \boxed{5^{\frac{1}{12}}}\)

\(\rule[225]{225}{3}\)

Step-by-step explanation:

\(\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }\)

When dividing same bases, we subtract the exponents.

\(\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }\)

Making exponents have the same denominator.

\(\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }\)

Subtracting exponents.

\(\displaystyle \sf 5^{\frac{1}{12}}\)

\(\rule[225]{225}{3}\)

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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The equation of the linear function represented by the table would be y = 4x - 1.

What is the slope-intercept form of the line?

When you know the slope of the line to be examined and the point given is also the y-intercept, you can use the slope-intercept formula

                               y = mx + c.

The y value of the y-intercept point is represented by c in the formula.

By using the given table,

for x = 0 , y = -1

so by using the slope-intercept form of the line, we can write

              y = mx + c

              -1 = m(0) + c

               c = -1 ----------(I)

Then for x = 1, y = 3

again by using the slope-intercept form of the line, we can write

                  y = mx + c

                 3 = m(1) + (-1)  -----from (I)

                  3 = m - 1

             ⇒ m = 3 + 1

             ⇒ m = 4 -----------(II)

Now by using (I) and (II), we can make a linear function by using the slope-intercept form of the line

                     y = 4x - 1

Hence, the equation of the linear function represented by the table would be y = 4x - 1.

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Answer:

2500 x 1.06 + 2500 x 1.03

Step-by-step explanation:

2500 x 1.06 = 150

150 x .5 (half the simple interest) = 75

150 + 75 = 225

The potential energy of the water in a lake is 57 trillion N × m, which is 57 trillion joules (J).

Gravitational potential energy applies in this situation. G P E = m g h is the formula for gravitational potential energy, where: mg stands for weight or mass times gravity (w). The height to which an object can fall before kinetic energy replaces potential energy is denoted by the symbol h. In the example of the lake, we first determine the amount of water using the equation for the volume of a typical cylinder in order to determine the weight of the cylinder: V cy l = π r²L , The weight density of the water per cubic foot, which is about 62 lb, can then be multiplied by this volume: W(water) = (Volume) (Density)

W (water) = (28,000,000 ft² ⋅ 40ft) ( 62 lb ÷ ft³ )

W (water) = 69,440,000,000 lb

To calculate the potential energy, multiply this weight by the height. GPE=mgh

GPE=Wh=(69,440,000,000lb)(600ft)

GPE=41,644,000,000,000ft⋅lb

matching the level of precision by rounding the response to two significant digits. 4.2X10¹³ft⋅lb , or 42 trillion ft-lb.

Because joules are measured in N × m units, multiply the result by fractional equivalencies. 42trillionft × lb × (4.45N ÷ lb) × (m ÷ 3.28ft)

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Step-by-step explanation:

Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6

Mean = 76 / 6

Mean = 12.66

The value of K will be equal to 4 for an expression (5a²b³)(6a\(.^k\)b)=30a⁶b⁴.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

We have an expression given as:-

(5a²b³)(6a\(.^k\)b)=30a⁶b⁴.

The mathematical properties we knew

\(x^mx^n = x^{m+n}\)

\(x^m\)÷\(x^n=x^{m-n}\)

So the expressions will be written as:-

(5. 6 . a². a\(.^k\) .b³ .b =  30a⁶b⁴.

30 ( \(a^{2+k}\))(\(b^{3+1}\)) =  30a⁶b⁴.

Comparing the terms we will get:-

\(a^{2+k}\) = a⁶

2 + k = 6

k = 6 - 4

k = 4

Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a\(.^k\)b)=30a⁶b⁴.

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Answer:

wdawdsawd wddddddddddddddddddddddd

Step-by-step expwdlanation:

wdsadwwwwwww

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

Remember that slope, or in this case pitch, is equal to rise divided by run. In other words:

\(m=\frac{rise}{run}\)

where m is the slope.

From looking at the image, we can see that the rise 21 feet and the run is 24 feet. By plugging this information into the equation, we get:

\(m=\frac{21}{24}=\frac{7}{8}\)

So the slope, or pitch, of the roof id 7/8.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

B. Y= 2x - 4

Step-by-step explanation:

I think, so sorry if wrong

I needes y on its own so I devided the equation by 3

Grey will record interest during the year totaling $500.

For the stated question-

Borrowed money from national bank =  $15,000.

Time 120 days.

10% interest-bearing note

Thus, interest during the year;

interest = 15000 x 120 x 0.10 / 360 (days)

interest = 500

Thus, Grey will record interest during the year totaling $500.

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Answer: To find the magnitude and direction of the equilibrant of a system of forces, we first need to find the resultant of the forces, and then find the force that will balance the resultant.

For the given system of forces, we can use the Pythagorean theorem to find the magnitude of the resultant:

R = sqrt(32^2 + 48^2)

 = sqrt(1024 + 2304)

 = sqrt(3328)

 ≈ 57.7 N

The direction of the resultant can be found using trigonometry:

tan(theta) = opposite / adjacent

where theta is the angle between the forces, which is 90° in this case. We can choose either force as the adjacent side, and the other force as the opposite side. Let's choose the 32 N force as the adjacent side:

tan(theta) = 48 / 32

theta = atan(48/32)

     ≈ 56.3°

This means that the resultant has a magnitude of approximately 57.7 N and is directed at an angle of approximately 56.3° to the 32 N force.

To find the equilibrant, we need to find a force that has the same magnitude as the resultant but acts in the opposite direction. We can use the same magnitude and opposite direction to find the equilibrant as:

E = -R

 = -57.7 N

This means that the equilibrant has a magnitude of 57.7 N and acts in the opposite direction to the resultant, which is at an angle of approximately 56.3° to the 32 N force.

Step-by-step explanation:

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:

A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]

B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]

Performing matrix addition on A and B, we add the corresponding elements:

A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],

[3 + 3, (2 + c) + c, -1 + (-1)],

[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]

Simplifying further, we get:A + B = [[1, 4 + c, -3],

[6, 2 + 2c, -2],

[2, 5 + c, 1 + c]

Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].

We can store this value in the string FG_sum using valid Python code formatting as follows:

FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"

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The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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Answer:

Step-by-step explanation:

-0.74 + 0.44x = -0.3x

-0.3x = 7.2

It would be easier if you multiplied them by 10

-3x = 72

72/-3 = x

x = -24

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is 0.58.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability.

Assume that events A and B are two independent occurrences with probabilities P(A) and P(B), respectively, such that the probability that event B will occur given that event A is given by: P(B|A) = P(A∩B)/P (A)

Given:

Percentage of the students who have part-time jobs, P(A) = 73%

Percentage of the students who participate in at least one school-sponsored activity, P(B)= 65%

Percentage of the students who work part-time and participate in at least one school-sponsored activity, P(A∩B) = 42%

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is:

P(B|A) = P(A∩B)/P(A)

          = 42/73

          = 0.58

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Answer:

0.575

Step-by-step explanation:

nice job