Enter the missing base

1,024= ?⁵

Answer:

A b and c

Step-by-step explanation:

D might be true but i am not sure

Answer:

A, B, D

Step-by-step explanation:

A linear function has one input per output. This means one input (x) cannot have two different outputs (y); however, two different inputs (x) can have the SAME output.

This premise is what leads us to the "vertical line test". If we were to plot out all of our points on a graph and then connect a line to each point, we'd graph our function. If we held up a vertical line to ANY place on that graph, we should never have any part of the graph cross this paper more than once on the same line.

For example, a horizontal line would pass the vertical line test. Anywhere we hold up out vertical line, our horizontal line only crosses it once.

Meanwhile, a circle would fail the vertical line test. A circle would cross our vertical line at TWO different places for the same x-value, which makes it an equation, not a function.

Knowing this, we know we must never have two different y-values assigned to the same x value.

If you list your answers in order as A, B, C, & D, only graphs of A, B, and D pass. C does not pass because there are numerous instances of the input "2" having different y-values, meaning it'd cross our vertical line at this point multiple times and fail.

Answer:

Step-by-step explanation:

answer A

Answer:

Step-by-step explanation:

just add both corresponding angles

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

480

Step-by-step explanation:

The inequality is |4x-2|+1>7. By solving inequality we got x>-1 and x>2.

Given that,

The inequality is |4x-2|+1>7

We have to solve the inequality.

|4x-2|+1>7

Take +1 and right hand side we get -1

|4x-2|>7-1

Subtracting 7-1

|4x-2|>6

Now, it is modulus so we get + or -

1st we take +

4x-2>6

Take -2 and right hand side we get +2

4x>6+2

Adding 6+2

4x>8

Taking 4 to right hand side we get in the division.

x>8/4

x>2

Now, take -

-(4x-2)>6

Multiplying -1 on both sides

4x-2>-6

Take -2 and right hand side we get +2

4x>-6+2

Subtracting -6 and 2

4x>-4

Taking 4 to right hand side we get in the division.

x>-4/4

x>-1

Therefore, by solving inequality we got x>-1 and x>2.

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Answer:

m<FLS=108 degrees

m<SLT=72 degrees

m<ALG=18 degrees

Step-by-step explanation:

(3x) + (4x +12) = 180

x = 24

4x + 12 = 108 = m<FLS

180 - 108 = 72 = m<SLT

SLG = 72 + 90 + x

x = 18 = m<ALG

Answer:

8 meters by 4 meters

Step-by-step explanation:

2×8 + 2×4 = 16 + 8 = 24,

In the given case, the population is assumed to have a normal distribution.

When creating a confidence interval for the population mean with a sample size of 100, the population is taken to have a normal distribution. This is due to the Central Limit Theorem, which asserts that regardless of the population distribution's form, the distribution of the sample means approaches a normal distribution as the sample size increases.

Therefore, it is safe to infer that the population mean is normally distributed when the sample size is large enough, for instance, n>30. Additionally, it is also ideal to conclude that the population mean has a normal distribution since a sample size of 100 is greater than 30.

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Answer:

26 is the distance

Step-by-step explanation:

-16 to 10 has a distance of 26

Answer:

Step-by-step explanation:

In a static position, the sum of the forces is always 0.

so:

F1 = 480 N

F2 = -600 N

F3 = ?

F1 + F2 + F3 = 0

480 - 600 + F3 = 0

F3 = 120 N (the answer is positive, so the force acts in the same direction as F1)

Answer:

4 x \(10^{8}\)

Step-by-step explanation:

Round the number to

400,000,000

4 x \(10^{8}\)

We moved the decimal 8 places.

Answer:

4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.

Step-by-step explanation:

Answer:

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

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

refer to solution in picture

Answer:

Uhm..

Step-by-step explanation:

I just keep it up and watch and then ramdom people answer.

Like you just have to wait for someone to answer. That is what I do And if it does not help I put it up again.

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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The value of the correlation coefficient, r, is likely to be closer to 0. (Option 3)

The correlation coefficient, r, measures the strength and direction of the linear relationship between two quantitative variables. A value of r close to 1 indicates a strong positive linear relationship, a value close to -1 indicates a strong negative linear relationship, and a value close to 0 indicates no linear relationship.

When there is no relationship between two variables as observed on a scatterplot, the value of r will be close to 0, indicating that there is no linear relationship between the variables. This means that as one variable increases, the other variable does not increase or decrease in a predictable manner.

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Answer:

Step-by-step explanation:

Answer:

x=-5, y=-8

Explanation:

I did it already

Answer:

we just need to divide the amount of feet by the minutes so

22.75 divided by 7=3.25

so she plants 3.25 square feet a minute

Hope This Helps!!!

Answer:

3.25 per min

Step-by-step explanation:

Answer:

Hello your answer should be A symmetric property

Step-by-step explanation:

hope this helps

Symmetric property of equality to show that 3a = 4b, then 4b = 3a?

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other

We have the following information available from the question is:

We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a

Now, According to the question:

3a = 4b

4b = 3a (both are equal)

This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.

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Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

You can buy 10 of $18 tickets and 10 of $12 tickets or 4 of $18 tickets and 20 of $12 tickets.gtu

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of $18 ticket and y represent the number of $12 ticket.

Sine there are 26 tickets, hence:

Also:

From equation 1 and 2:

(10, 10) and (4 , 20)

You can buy 10 of $18 tickets and 10 of $12 tickets or 4 of $18 tickets and 20 of $12 tickets.

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Answer:

Anything with 2 Yellow and more than 3.5 Blue

Step-by-step explanation:

The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand.  The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue.  You can find ratios that are the same but use more/ less  amounts.  So if you use 4 units of yellow and 7 of blue it is the same ratio.  

If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio.  So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.  

Answer:

The equation of the straight line

  x - 24y + 38 =0

Step-by-step explanation:

Step(i):-

Given that x(t) = t²+1 ..(i)

        and y(t) = √1+t  ..(ii)

Differentiating equation(i) with respective to 't'

\(\frac{dx}{dt} = 2t\)

Differentiating equation(ii) with respective to 't'

\(\frac{dy}{dt} = \frac{1}{2\sqrt{1+t} }\)

Step(ii):-

The slope of the tangent

     \(m = \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} } = \frac{\frac{1}{2\sqrt{1+t} } }{2t}\)

    \(m =( \frac{dy}{dx} )_{t=3} = \frac{1}{4(3)\sqrt{1+3} }\)

    \(m = \frac{1}{24}\)

Step(iii):-

Point   x = t²+1 = 3²+1 = 10

          y = √1+t =√1+3 = √4 =2

The point on the tangent line is ( 10 ,2)

The equation of the straight line

      \(y - y_{1} = m( x-x_{1} )\)

     \(y - 2 = \frac{1}{24} ( x-10 )\)

   24 (y-2) = x-10

   24y - 48 = x-10

    x - 24 y -10 +48 =0

   x - 24y + 38 =0

Final answer:-

The equation of the straight line

  x - 24y + 38 =0

Answer:

-3

Step-by-step explanation:

-(absolute value of -3)

-(3)

-3

The circle with a 7 feet radius cut into 6 equal sectors, indicates, using 22/7 approximation for pi, that the area of 2 of the pieces is 51 and one third square feet. The correct option is option C.

C. 51 and one third square feet

A sector of a circle is a pie shaped part of a circle that is bounded by an arc and two radii of the circle.

The specified radius of the circle, r = 7 feet

The number of pieces to which the circle is cut into = 6 equal pieces (sectors)

The area of 2 of the pieces, using 22/7 as an approximation for π are found as follows;

Area of a circle, A = π × The square of the radius

Therefore; A = π × r²

A = (22/7) × 7² = 154

The area of the circle is about A = 154 square feet

The area of one of the pieces into which the circle is cut is therefore;

Area of a piece = A/6

Area of one piece = (154 square feet)/6 = 25 and two thirds square feet

The area of 2 of the pieces = 2 × (A/6) = A/3

Therefore, the area of two of the pieces = (154 square feet)/3 = 51 1/3

The area of 2 of the pieces = \(51\frac{1}{3}\) square feet

Option C is correct

C. 51 and one third square feet

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Using the 22/7 approximation for pi, the circle with a radius of 7 feet divided into 6 equal sectors shows that the area of 2 of the sections is 51 and a third square feet. Option C is the one that is right.

51 and a third square feet in C.

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.