What is the equation of the circle with a radius of 7 and center at (6, -5)?
A (x + 6)2 + (y - 5)2 = 49
B (x - 6)2 + (y + 5)2 = 7
C (x + 6)2 + (y - 5)2 = 7
D (x - 6)2 + (y + 5)2 = 49

Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:

D. The margin of error for the second study will likely be less than 10 pounds per square inch.

It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.

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Answer:

38.0

Step-by-step explanation:

'Mean' is just the average of the 10 scores ....

  add them all together and divide by 10

   380 / 10 = 38

Answer:

AB = 41 cm

Step-by-step explanation:

If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.

Therefore, AB = ½ of AC.

Given, AC = 82 cm.

So,

AB = ½ × AC

AB = 82/2

AB = 41 cm

_____

Hope it helps ⚜

Answer:

Step-by-step explanation:

1. Henry - 800. Chris - 600. 800 + 600 = 1,400 coins · 2. henry - 600. Chris - 400. 600 - 400 = 200 coins · 3. because henry has 800 chris

Answer:

the H stands for hours. the E stands for money. because it says 10h that means she gets $10 per hour. that answers the first question. I don't understand the second part though. hope you get it!

Answer:

The answer is Graph C.

Step-by-step explanation:

Both the equation of each other are the same in Graph C..

Answer:

B. Graph C

The lines are together, so every point they pass is a solution

Answer:

-7.35

Step-by-step explanation:

7/x = cos(60)

x = 7(cos(60))

x = 7/(-0.95)

x = -7.35

Answer: [tex]4\sqrt{7}[/tex]

Step-by-step explanation:

If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].

So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].

This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]

The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988

multiply total cars by experimental probability

2500 x 0.988 = 2470

Answer:

98.8%; 2470 cars

Step-by-step explanation:

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]

Answer:

Step-by-step explanation:

Given equation:

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

[tex]~[/tex]

[tex] \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ [/tex]

The discriminant is smaller than 0.

====================================

[tex]\large \sf \underline{Problem:}[/tex]

The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?

====================================

[tex]\large \sf \underline{Answer:}[/tex]

to reduce the force needed to lift the box and change the direction of the force.

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."

By this definition, we know that force is needed to lift an object using a lever.

2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"

For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.

3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.

Basically, if we were to put a lever into an equation:

reduced force + change in direction = lever

(the expection) unless load and force are on the same side, there will be no change in direction.

For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.

So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.

*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.

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[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]

[tex] \: \: [/tex]

[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]

[tex]\color{pink}──────────────────────────────[/tex]

[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]

Answer:

Typical household fixed expenses are mortgage or car payments, rent payments, real estate taxes and insurance premiums.

Mortgages, taxes, and property insurance are housing expense.

An expense is a cost that businesses incur in running their operations. Expenses include wages, salaries, maintenance, rent, and depreciation.

Given that, What type of expenses are mortgages, taxes, and property insurance.

They come under housing expenses.

Total housing expense adds up all the relevant ongoing costs needed to maintain homeownership. This will include monthly bills, insurance costs, taxes, and homeowners association dues in addition to mortgage interest and principal.

Hence, Mortgages, taxes, and property insurance are a housing expense.

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Answer:

a) [tex]x = 9[/tex]

b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]

Step-by-step explanation:

Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:

[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]

Now plug in x for both of the formulas to get their angles:

[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]

(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]

(b)The given function is discontinuous at x=0.

Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.

The standard function is;

[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]

The domain of the given function is found as;

[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]

The domain of the function is,

[tex]\rm x \geq -c^2 \ x\neq0[/tex]

To find the function is continuous or not, we have to find the continuity;

[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]

At x= 0 the function is undefined. So that the function is discontinuous at x=0.

Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.

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Answer:

The answer is 1/24

Step-by-step explanation:

1stepout of the 12 is the 5th so 1/12 and divid by 2 because you want it to land on heads.

Answer:

x = 67°

Step-by-step explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

⇒ x = 67°

Answer:

Step-by-step explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

Solve it for x

Answer:

 4x² + 20x + 16 = 0

Step-by-step explanation:

       (leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0

4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0

          4*[ x² - (-5)x + 4]     = 0

               4 * [x² + 5x + 4] = 0

            4*x² + 4*5x + 4*4 = 0

               4x² + 20x +  16  = 0

Answer:

B: Brazil

Step-by-step explanation:

The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.

( I hoped this helped)

Answer:

Yes, it is.

Step-by-step explanation:

The function x² = -y - 2 is a quadratic function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

The function is x² = -y - 2

Rearranging the function:

y = x² - 2

A quadratic function is always of the form:

y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.

We can write y = x² - 2 as:

y = x² + 0(x) - 2, here a = 1, b = 0, c = -2

Hence, the function x² = -y - 2 is a quadratic function.

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Answer:

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Step-by-step explanation:

Answer:

3 gallons of paint

Step-by-step explanation:

Steps you have to take,

Formula:

[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]

[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑

door = 30in by 6ft

30in to feet =  2.5 feet

[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]

[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]

[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]

[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]

396(2) =

792sq ft

We know that one gallon covers 350sq ft

792/350 =

2.26 gallons

(can't have .26 of a gallon so we round up)

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

well, it's a vertical line, so, Check the picture below.

5000

Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.

Metric System

In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.

These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.

Conversion

Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.

Thus, 5 km = 5000 m.

Answer:

(-0.6, 8.4)

Step-by-step explanation:

so first, we have to find out what x is. because y is equal to itself, we can substitute to get

[tex]x+9=-4x-6\\5x+9=6\\5x=-3\\x=-\frac{3}{5}[/tex]

now we can plug in the value of x to find y

[tex]y=-\frac{3}{5} +9\\y=8\frac{2}{5}=8.4[/tex]

your answer is written in the form (x,y) so the answer is (-0.6, 8.4)

Answer: Heyaa! ~

Your Answers are... (-0.6, 8.4)

Step-by-step explanation:

Hopefully this helps you!

~ Lets solve:

Use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation. You can then solve this equation as it will now have only one variable.

answers from left

1. 1

2. 1/2

3. 2

4. 1