solve for x: 7/8-1/x=3/4
x = 1

x = 2

x = 4

x = 8

Answer: Second and third options are correct.

Step-by-step explanation:

As we know that

Angle at the center is the double the angle formed at the circumference of the circle.

So, An inscribed angle measure  30° if the angle formed at the circumference ( an arc measurement is of 15°)

Similarly, A central angle measures 50° with an arc measurement of 25°.

Hence, Second and third options are correct.

Answer:

The answer is the first one and the last one.

An inscribed angle measures 80° with an arc measurement of 160°.

and

An arc measures 40° with an inscribed angle is 20°.

the guy above is wrong do not do his answers

The value of x in the triangle using the principle of Pythagoras is 2879.4 meters

Given the right angle triangle :

Recall :

Using the relation :

Sin θ = opposite / hypotenus

Sin 10° = 500 / x

Cross multiply :

x(sin 10°) = 500

0.1736481x = 500

x = 500 / 0.1736481

x = 2879.39 meters

Therefore, the value of x in the triangle is 2879.4 meters.

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Answer: 2879.39 meters

Step-by-step explanation:

The Main answer is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex] Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex] the value of  [tex](fg)(x)[/tex] is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

To find the product of two functions [tex]f(x)[/tex] and [tex]g(x),[/tex] denoted as [tex](fg)(x)[/tex], we simply multiply the two functions together.

Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex], we multiply them to get [tex](fg)(x)[/tex]:

[tex](fg)(x)=f(x)*g(x)=(4x^{2} -5)*(x+3).[/tex]

Now, we distribute [tex]4x^{2} -5[/tex] across [tex](x+3)[/tex]:

[tex](fg)(x)=4x^{2} *(x+3)-5*(x+3).[/tex]

Expanding further:

[tex]=4x^{3} +12x^{2} -5x-15.[/tex]

So, [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

COMPLETE QUESTION:

Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex]. What is [tex](fg)(x)[/tex]?

Answer:

The measure of angle P is 61.93°

Step-by-step explanation:

We are given a right triangle with measures 8 cm, 15 cm and 17 cm.

For angle P, we see that,

Perpendicular = 15 cm

Hypotenuse = 17 cm

Using the trigonometric forms of the angles, we have,

[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e. [tex]\sin P=\frac{15}{17}[/tex]

i.e. [tex]\sin P=0.88235[/tex]

i.e. [tex]P=\arcsin 0.88235[/tex]

i.e. P = 61.93°

Hence, the measure of angle P is 61.93°.

Answer:

-125 meters.

Step by step explanation:  

We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].

We have been given a quadratic function and the minimum value will occur at vertex.

First of all we will write it in standard quadratic form by using distribution property.

[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]

[tex]\frac{x^{2}}{20}-5x[/tex]  

Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]

[tex]x=\frac{5}{(\frac{2}{20})}[/tex]

[tex]x=\frac{5\times20}{2}[/tex]

[tex]x=5\times10[/tex]

[tex]x=50[/tex]

Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.  

[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]

[tex]g(50)=\frac{2500}{20}-250[/tex]

[tex]g(50)=125-250[/tex]

[tex]g(50)=-125[/tex]

Therefore, the lowest altitude Guilermo will reach is -125 meters.          

Answer:

[tex]x-4y=8[/tex]

Step-by-step explanation:

Given : (–4, –3) , (12, 1)

Solution:

[tex](x_1,y_1)=(12,1)[/tex]

[tex](x_2,y_2)=(-4,-3)[/tex]

Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the given values.

[tex]y-1=\frac{-3-1}{-4-12}(x-12)[/tex]

[tex]y-1=\frac{-4}{-16}(x-12)[/tex]

[tex]y-1=\frac{1}{4}(x-12)[/tex]

Now standard form of equation of line = [tex]Ax+By=C[/tex]

So, [tex]y-1=\frac{1}{4}(x-12)[/tex]

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=(x-12)[/tex]

[tex]12-4=x-4y[/tex]

[tex]8=x-4y[/tex]

[tex]x-4y=8[/tex]

Hence  the standard form of the equation for this line is [tex]x-4y=8[/tex]

$896.44

Remember that to get the current balance, you subtract all the debits from balance and add all the deposits to it.

We know from our table that the first transaction is medical bill, which is debit, so we are going to subtract the medical bill from the balance to find the  balance at that point in time.

Balance = $862.74 - $41.56 = $821.18

We also know that the second transaction is a check deposit for $75.26, so to find the current balance, we just need to add $75.26 to our previous balance.

Current balance = $821.18 + $75.26 = $896.44

Answer:

its B

Step-by-step explanation:

Final answer:

The probability of flipping heads again after already flipping heads once is 50%

Explanation:

The probability of getting heads when flipping a coin twice can be calculated by multiplying the probabilities of getting heads each time. Let's calculate the probability step by step:

Therefore, the probability of getting heads on the second flip is 50%.

Answer:

cost per visit during the year= $4.31

Step-by-step explanation:

The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month

annual membership fee  = $414 times each month

1 year = 12 months

Membership fee for 1 month = 414/12= 34.5

In 1 months total visit is 8

To find the cost per visit we divide the monthly fee by 8

Cost per visit = [tex]\frac{34.5}{8} =4.3125[/tex]

cost per visit during the year= $4.31

Answer:

 Figure attached below.

Step-by-step explanation:

To draw and label - A figure that has 4 points, 2 rays, and 1 right angle.

Image is attached below.

This image has 4 points, 2 rays, and 1 right angle. 

The point is a dot from which a line form.

The point s are: A, B, C, D.

A ray is starts out at a point and continues off to infinity.

The rays are: BA, BF, BD, CD, and CE

An angle is the angle formed between two rays .

The right angle is at B i.e, 90°

Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.  

Any function f(d) to find excess of children more than adults can be written as follows :-  

f(d) = c(d) - a(d).

⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)

⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

⇒ f(d) = 0.1d² + d + 2

60 cents a pounds is needed.

From the question, we are given that:

Since the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.

Let Y be the price of 60 pounds of nuts

Therefore, the equations should as follows:

(40 x 75) + (60 x y) = 66 x 100

= 3000 + 60y = 6600

60y = 6600 – 3000

60y = 3600 (divide both side by 60)

60y/60 = 3600/60 (60 cross out 60)

Y = 3600/60

Y = 60  

Therefore, 60 cents a pounds is needed.

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KEYWORDS:

Answer:

D. issuing Treasury bonds and other government-backed securities

Step-by-step explanation:

Governments create debt by issuing government bonds and bills. Less creditworthy countries sometimes borrow directly from a supranational organization (e.g. the World Bank) or international financial institutions.

Treasury bonds are how the US - and all governments for that matter - borrow hard cash: they issue government securities, which other countries and institutions buy. So, the US national debt is owned mostly in the US - but the $5.4tn foreign-owned debt is owned predominantly by Asian economies.