What is the value of ſIg(5)) if f(x) = * +2 and g() = x2 – 27

Given:

A figure of a circle. A secant SU and a tangent SR is drawn to the circle from the external point S.

To find:

The measure of the line segment TU.

Solution:

According to the secant tangent segment theorem, the square of tangent is equal to the product of secant and external segment of the secant.

Using secant tangent segment theorem, we get

[tex]SR^2=SU\times ST[/tex]

[tex](40)^2=(32+2x-2)\times (32)[/tex]

[tex]1600=(30+2x)(32)[/tex]

[tex]1600=960+64x[/tex]

Subtract both sides by 960.

[tex]1600-960=64x[/tex]

[tex]640=64x[/tex]

Divide both sides by 64.

[tex]\dfrac{640}{64}=x[/tex]

[tex]10=x[/tex]

Now, the measure of the line segment TU is:

[tex]TU=2x-2[/tex]

[tex]TU=2(10)-2[/tex]

[tex]TU=20-2[/tex]

[tex]TU=18[/tex]

Therefore, the correct option is C.

On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

here,

the probability that event the dice will roll is 6

and chances of geting even numbers are = 3

so P(a/c) = 3/6 = 1/2

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Answer:

Your answer for both is 31 degrees

Step-by-step explanation:

Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.

First you do

82+67 = 149

Take that answer and minus it by 180

180-149 = 31

Answer:

*Using < for angle symbol*

m<E= 61 degrees

m<G= 119 degrees

Step-by-step explanation:

Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.

Hope this helps! Have a nice day :)

Answer:

-4±2√3

Step-by-step explanation:

quadratic formula: (-b±√(b²-4ac))/(2a)

a = 1

b = 8

c = 4

(-8±√(8²-4*1*4))/(2*1)

(-8±√(64-16))/(2)

(-8±√48)/(2)

(-8±4√3)/(2)

-4±2√3

Answer:

Aye I've you caught now ya wee bastаrd

Step-by-step explanation:

The miles per hour that the car is going after 8.55 seconds is 610.79 miles per hour.

From the information Illustrated, it should be noted that the t in seconds that it takes a car to accelerate to ask mph can be described by T = 0.001 × 0.732X² + 15.417X + 603.738.

In this case, it is important to note that x in the function simply represents the seconds.

Therefore, based on the information, the miles per hour is the car going after 8.55 seconds will be:

T = 0.001 × 0.732X² + 15.417X + 603.738.

T = 0.001 × 0.732(8.55)² + 15.417(8.55) + 603.738

T = 0.001 × 53.511 × 131.815 + 603.738

T = 610.79

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Answer:

The answer is [tex]\bf \dfrac{77}{72} [/tex].

Steps required :

Refer to the attachment. :)

Answer:

4 unit, 3 units

Step-by-step explanation:

It can be observed that there are 4 units on each side of the square and the triangle has a height of 3 units using the picture

Answer:

It would be 3 meters apart

Answer:

on average, how many plants do the students in your class have at home

Step-by-step explanation:

there is more than one answer

B is the correct answer

Step-by-step explanation:

It  can be answered by collecting data.

The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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Answer:

2/52 + 2/52 = 4/52

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Answer:

425 in³

Step-by-step explanation:

V = whl

12 1/2 · 8 1/2 · 4 = 425

The value of x is 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

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Answer:

The mechanic spent 12 hours on the repair.

Step-by-step explanation:

The mechanic spent 12 hours on the repair.

Answer:

y=8(0.5)^x

Step-by-step explanation:

We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x

Answer:

f(x)=5x-4x²+3

f(1)=5×1-4×1²+3

Step-by-step explanation:

5x - 4x^2 + 3

Now, put x = 1

=> 5(1) - 4(1)^2 + 3

=> 5 - 4 + 3

=> 8 - 4

=> 4 Ans.

Answer:

( d ) grease

Step-by-step explanation:

Grease could be effectively used to reduce friction.

Answer:

D. 113.1 in^2

Step-by-step explanation:

Answer:

( 7,-1 )

Step-by-step explanation:

Answer:

F. 4 ÷ 5

Step-by-step explanation:

Answer:

Divide 7 on both sides.

Step-by-step explanation:

Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

Step-by-step explanation:

The exponential function  can be written as y = 700e^-0.094t.

We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.

We can use;

N = Noe^-rt

N = amount at time t

No = Amount at the beginning

r = decay rate

t = time taken

Thus we have; y = 700e^-0.094t

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Answer:36,000

Step-by-step explanation: if ten percent of 100 is 10 we can use the same concept on 40000 by dividing it by 10 because 10% can be roughly said as 1/10 so 1/10 of 40000 is 4000 which we will subtract 40000 by which results in 36000

Hope this can help you

Answer:

tanga bono ulaga kase tatamadtamad

A student wants to write an expression for, all the elements which are in set A and all the elements in set B. Then, the expression matches the statement is (A n B), which is read as A intersection B. Thus, option B is correct.

The intersection of two sets A and B, denoted by display by (A ∩ B). It is the set containing all elements of A that also belong to B, or, alternatively, all elements of B that also belong to A. The symbol is sued for the intersection is ∩. This is defined as that the element of A and B are is a single set.

Therefore, option B is correct.

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