In this diagram, ABAC – AEDF. If the
area of ABAC = 15 in?, what is the
area of AEDF?
D
E
4 in
F
F
B
5 in
С
Area = [?] in2

Answer:

3.

Step-by-step explanation:

2/3 / 2/9

= 2/3 * 9/2

= 18/6

= 3.

Answer:

Two consecutive even integers are 32 and 34.

Step-by-step explanation:

Let the two consecutive even integers are x and x+2.

ATQ,

Twice the smaller is 26 less than. 3 times the smaller

2x = 3(x-2) -26

2x = 3x-6-26

2x = 3x -32

32 = 3x-2x

x = 32

Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.

Answer:

False equation:   -2|8 - 6| - 6 = -10

Step-by-step explanation:

-2|8 - 6| - 6 = -12                True or false?

-2 | 2| - 6 = -12                    Substract 8 - 6 = 2

-2 × 2 - 6 = -12                    |2| = 2  absolute value of 2 is 2

- 4 - 6 = -12                         -2 × 2 = -4 ( negative times positive = negative)

 -10 = -12                            False

Answer:

15/20

Step-by-step explanation:

It is the only one that can be simplified into 3/5

Answer:

12/20

Step-by-step explanation:

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

x=14 x 7=98

Step-by-step explanation:

Answer:

the answer is X=98

Step-by-step explanation:

Step-by-step explanation:

51x + 23y = 116 ……….. (i)

23x + 51y = 106 ………… (ii)

Subtracting (ii) from (i)

28x – 28y = 10

28(x – y) = 10

⇒ (x – y) = 10/28 = 5/14

The solution of the expression x- y is 5/14.

Given Equation:

Equation 1: 51x + 23y = 116

Equation 2: 23x + 51y = 106

Now, multiply 23 in equation 1 and 51 in equation 2 gives

Equation 3: 1173x + 529y = 2,668

Equation 4: 1173x + 2601 y = 5406

Solving the Equation 1 and (3) gives

2601y - 529y = 5406 - 2668

2072y= 2738

y = 37/28.

Substituting the value of y= 37/28 in Equation 1 gives

51x + 23(37/28)= 116

51 x= 2397/28

x= 47/28

So, the value of x-y

= 47/28 - 37/28

= 10/28

= 5/14

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

Answer:

The margin of error is  \(E = 6.9 \)

The 95% confidence interval is  \( 26.5  <  \mu < 40.3 \)  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  \(\mu = 33.4 \ ng/ml\)

      The standard deviation is  \(\sigma = 19.6 \ ng/ml\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.96  *  \frac{19.6  }{\sqrt{31 } }\)

=>  \(E = 6.9 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=> \( 33.4  - 6.9 <  \mu < 33.4  +  6.9 \)

=> \( 26.5  <  \mu < 40.3 \)  

Answer:

A 50% chance because its a 50 50 chance of drawing either card.

Using translation concepts, the transformations are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

y = x².

The translated function is:

y = -2(x + 5)² - 3.

In this problem, we have that:

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Answer:

D

Step-by-step explanation:

Chord, target, and diameter would be shown with lines! hope this helps. :)

Answer:

It represents the centre of the circle. at the centre/ middle of the circle.

chord - a straight line joining two points in a circle.

tangent - the line that touches the circle at only one point.

diameter - a straight line that touched on point of circumference to another point.

centre - refers to the middle portion of the circle.

Answer:

Step-by-step explanation:

$3.75 (Bauer) + 5*2 (2 friends) = $13.75

20 - 13.75 = $6.25 in change

The percent markdown is of the 15% of the price.

We know that the original price is $975, and at the moment is sold by $828.75.

If we define the markdown (as a decimal) as r, then we can write the equation:

$828.75 =  $975*(1 - r)

Solving this for r, we get:

($828.75 - $975)/(-$975) = r =  0.15

To write this as a percentage, we just need to multiply this by 100%.

0.15*100 = 15%

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Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama

Answer:

Step-by-step explanation:

Step-by-step explanation:

The function is as follows :

\(f(x) = x^2 + 5x + 5\)

We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Here,

b = 5

a = 1

c = 5

So,

\(x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}\)

Hence, the correct option is (c).

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

The variable x represents the number of minutes past noon, and the variable s represents how many inches of snow were on the lawn.

So, the meaning of s when x = 1 is the amount of snow (in inches) on the lawn when the time is 12:01pm (1 minute after noon).

Therefore the correct option is the fourth one.

The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

1) Gathering the data

The whole road: 7/8 miles long

Repaving speed: 1/56 mph

2) Considering that the Speed is found by:

Note that we cross multiplied that.

3) Hence, we can answer that the road crew is going to take 49 hours to repave it

parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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Let's define some notation first:

H= number of Hogwarts, R= number of robes, Q= number of Quidditch

We can set up the following equation for the total of clothing items:

We also know that Q= 2R so we have:

Now we can create an equation for the amount of money and we have:

Now we can replace H=200-3R and we got:

And solving for R we got:

And then Q would be:

If the sequence is exponential, then the y-values have equal ratios.

Exponential function:

Exponential function refers the method of expressing large numbers in terms of powers.

Given,

Here we need to find if the a sequence is exponential.

In order to find the sequence is exponential or not, we have to know the definition of sequence,

In math sequence means an arrangement of numbers in a particular order.

So, as per the definition of sequence and the exponential function, if the sequence is exponential then it must be in each successive number increases (or decreases) by the same percent.

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Answer:

\(12\pi\)

Step-by-step explanation:

\(L=\frac{\pi (120)(18)}{180} =\frac{2160\pi }{180}= 12\pi\)

Hope this helps