What's the answer to this question

Answer:

Step-by-step explanation:

Answer: 2

FG is equal to 2 times FM

The value of a is 2.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.

Given that M is the midpoint of FG

FG = 14a + 1 and  FM = 14.5

F______________M______________G

⇒ FG = FM + MG

Since M is the midpoint of FG, So FM = MG

⇒ FG = FM + FM

⇒ FG = 2FM

Substitute the values of FG = 14a + 1 and  FM = 14.5,

⇒ 14a + 1 = 2(14.5)

⇒ 14a + 1 = 29

⇒ 14a = 28

⇒ a = 28/14

⇒ a = 2

Hence, the value of a is 2.

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Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

\( \\ \)

Step-by-step explanation:

How much did they eat all together?

\( \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} \)

\( \\ \)

How much was left over?

\( 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} \)

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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where b = base and h=height

so for this triangle:

The answer is 13905.5

The row in the original matrix and the column in the primary matrix must match. Hence, the matrix product has the first matrix's number of rows and the second matrix's number of columns.

Read an overview of this subject. a collection of numbers lined up in rows or columns to form a flat array is called a matrix. The atoms, or units, of the matrix are the integers.

The study of squares is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

To solve this problem, we will use the completing the square method of solving quadratic equations

12)

First we find half the coefficient of x:

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer: 15g-25h

Step-by-step explanation:

To use distributive property, you multiply 5x3g individually, and then 5x-5h individually.

You then add them.

So:

5(3g-5h)

=15h-25j

Answer:999

Step-by-step explanation:11x9=999

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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The explicit rule for the geometric sequence 29.7,9.9,3.3,1.1, are as follows,

Here the first term is considered as, a1, is 29.7.

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

\(t_{n} = ar^{n-1}\)

The common ratio to be considered as, r is 9.9/29.7 = 1/3.

So, the generic explicit rule is ...

\(a_{n} = a1r^{n-1}\)

By filling the above equation with the above given values you will get the explicit rule ...

So,

\(a_{n} = 29.7(1/3)^{n-1}\)

Hence the answer is  \(a_{n} = 29.7(1/3)^{n-1}\)

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Answer:

(1,0) and (-6,0)

Step-by-step explanation:

x-1=0

x=1

x+6=0

x=-6

Answer:

The x intercepts are 1, -6

Step-by-step explanation:

y = 3 (x - 1)(x + 6)

To find the x intercepts, set y = 0

0 = 3 (x - 1)(x + 6)

Using the zero product property

x-1 =0    x+6 =0

x=1    x=-6

The x intercepts are 1, -6

To find the magnitude of a vector, there is a simple formula:

Hello!

A = 115° => opposite

B = 115° => corresponding angles

C = 65° => 180° - 115°

Answer:

A = 115 degrees

B = 115 degrees

C = 65 degrees

Step-by-step explanation:

A is opposite of 115 so it is 115 degrees.

B is 115 because it is on a parellel line to the one of 115

C is 180 minus B, which is 180 - 115 = 65

Answer:

24 m that is the answer to the question

The height of the cone is 24 meters.

Option A is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The formula for the volume of a cone.

V = (1/3)πr²h

Where r is the radius of the base and h is the height.

The diameter of the cone = 12 m.

So,

The radius is half of the diameter:

r = 12/2

r = 6 m

Now,

The volume of the cone is 904 m³.

Substituting the known values into the formula.

904  = (1/3) × 3.14 × 6 x 6 × h

Simplifying the equation.

904 = 37.68 h

Dividing both sides by 37.68.

h = 23.99

h = 24

Therefore,

The height of the cone is 24 meters.

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\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\)  for b > 0

now ,

\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)

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We have a deposit of $4000 at the end of each year.

The rate is 5% compounded annually (r = 0.05).

The number of periods is n = 10.

We have to calculate the present value of the annuity.

We will use the formula:

If we replace with our data, we get:

Now, we have to calculate the interest.

Answer: The answer is d.

Step-by-step explanation:

If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6

Hello!

25 wooden ..... 5.5 hours

x wooden ..... 9.9 hours

_____________________

25/x = 5.5/9.9

25 × 9.9 = x × 5.5

247.5 = x × 5.5

x × 5.5 = 247.5

x = 247.5 : 5.5

x = 45 wooden

Good luck! :)

Answer:

45

Step-by-step explanation:

In questions such as these it is implied Anita can and does work at a constant rate. Therefore, we can set up the following proportion:

\(\frac{25}{5.5}=\frac{x}{9.9}\), where \(x\) represents the number of wooden slats she can paint in 9.9 hours.

Multiplying both sides by 9, we get:

\(x=\frac{9.9\cdot 25}{5.5},\\x=\boxed{45}\)

Answer:

C) f(x)=25(4/5)^x

Step-by-step explanation:

Observe that the exponential function is decreasing (so exponential decay). This means that r<1 making A and D wrong as they show exponential growth as r>1. Also notice that the y-intercept is 25 which is where the function crosses the y-axis when x=0. This means C is the only correct answer.

Answer:

1/3

Step-by-step explanation:

multiple of 4 is 4,8,12 and the multiple of 7 is 7,14 = 5/15=1/3

A game has a spinner with 15 equal sectors labeled 1 through 15, the value of P is mathematically given as

P=1/3

Question Parameter(s):

A game has a spinner with 15 equal sectors labeled 1 through 15.

Generally, the equation for the value of  P  is mathematically given as

P= multiple of 4and 7 /sample size

Where

Multiple of 4 is 4,8,12 and the multiple of 7 is 7,14

Therefore

P=5/15

P=1/3

In conclusion, The value of P is

P=1/3

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Answer:

The answer is 192. Hope this helps!

Answer:

4,400 :)

Step-by-step explanation:

Answer and Step-by-step explanation:

Anytime that you are rounding a number, there is a rule that you should follow:

"Anything 1 - 4 is closest to the number before, or the lower side. Anything 5 - 9 is closest to the higher side of whatever round you are trying to get to."

If that doesn't make sense, let me explain.

In this case, we need to look at the hundreds placement, which is the 3 in this situation. But we can't look at that, because then we would be rounding to the nearest thousand.

(Important:) So, we need to look at the number behind it, which is 8. Eight is on the higher side of 5 - 9, which means that it grants us permission to round to the next hundred.

The is: 4,400.

I hope this helps.

Answer:

Equation:

y= 3x + 5

Slope:

\( 3 \)

Point:

\(( - 1, \: 2)\)