The area of a circle with diameter of 11 feet is

The area of a circle with diameter of 10.5 inches is

The area of a circle with radius of 6.3 centimeters is

The area of a circle with radius of 3.25 yards is

Answer:

B. -7y + 8x.

Step-by-step explanation:

(-4y - x) - (3y - 9x)

Distributing the negative over the second parentheses we get:

-4y - x - 3y + 9x

= -7y + 8x.

Answer:

30

Step-by-step explanation:

Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.  

45 miles: 60 minutes  

15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)  

Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.  

Use the formula for speed:  

speed= distance/time  

= 15/0.5 ---------- 0.5 hours is the same as 30 minutes  

= 30

Answer:

First option: 30 miles per hour

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

20 minutes = 1/3 hours = 0.33 hours

Now using the speed, distance and time formula

Speed = distance/time

[tex]Speed = \frac{distance}{time}[/tex]

[tex]45 = \frac{distance}{\frac{1}{3} }[/tex]

[tex]45 = 3 * distance[/tex][tex]\frac{45}{3} = Distance[/tex]

So the distance is 15 miles.

For returning through the same route

Time = 30 minutes = 0.5 hour

Distance = 15 miles

So,

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{15}{0.5}[/tex]

Speed = 30 miles per hour

So first option is correct..

For this case we have a quadratic equation of the form:

[tex]ax ^ 2 + bx + c = 0\\x ^ 2 + 11x-4 = 0[/tex]

Where:

[tex]a = 1\\b = 11\\c = -4[/tex]

We find the roots:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-11 \pm \sqrt {11 ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {-11 \pm \sqrt {121 + 16}} {2}\\x = \frac {-11 \pm \sqrt {137}} {2}[/tex]

The roots are:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

Answer:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

ANSWER

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} = - 11 + 4[/tex]

Simplify the left hand side to get:

[tex] {x}^{2} = - 7[/tex]

Take square root

[tex]x = \pm \sqrt{ - 7} [/tex]

[tex]x = \pm \sqrt{ 7} \times \sqrt{ - 1} [/tex]

Note that:

[tex] {i}^{2} = - 1 \implies \sqrt{ - 1} = i[/tex]

[tex]x = \pm \sqrt{ 7}i[/tex]

Split the plus or minus sign

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

Answer:

D

Step-by-step explanation:

4 + √16-(4)(5)  / 2

Simplify the numerator:

4 + √16 -20   = 4 +√-4

Now you have 4 + √-4 / 2

Rewrite the -4 as -1 *4

4 + √ -1*4  / 2

Rewrite √-1*4 as √-1 * √4

√-1 = i

Now you have 4 + i * √4 / 2

√4 = 2

Now you have 4 + i * 2 /2

Divide the numerator by the denominator to get the final answer: 2 + i

The answer is letter C. 2

Answer:

The answer to this problem is down below

Step-by-step explanation:

C

Answer:

35

Step-by-step explanation:

Note that the absolute value always produces a positive result

Given

| a² - 2ac + 5c | ← substitute in given values

= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |

= | 9 - 24 - 20 | = | - 35 | = 35

They give you the equation:

[tex]|a^{2} - 2ac + 5c|[/tex]

We know that:

a = -3

b = 2

c = -4

You can replace the variables with their corresponding values like this:

[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]

You can then go on and do PEMDAS to solve this:

First the exponents:

[tex]-3^{2} = 9[/tex]

[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]

Then you can multiply all that needs to be multiplied together from left to right:

[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]

[tex]|9 - 24 + 5(-4)|[/tex]

[tex](5)(-4) = -20[/tex]

[tex]|9 - 24 + (-20)|[/tex]

[tex]|9 - 24 -20|[/tex]

Now from left to right subtract:

9 - 24 = -15

[tex]|-15 -20|[/tex]

-15 - 20 = -35

[tex]|-35|[/tex]

^^^The | | mean to take the absolute value of the number. In other words make it positive

So the answer to this is 35

Hope this helped!

Answer:

h = 12 units

Step-by-step explanation:

Area of a Parallelogram = base × perpendicular height  (A = b × h)

In the diagram above we can obtain the following:

(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)

Since A = b × h

    ⇒ A ÷ b = b ÷ b × h  (dividing both sides by b)

    ⇒ h = A ÷ b    (making h the subject of the eq'n)

thus  h = 72 unit² ÷ 6 units

            = 12 units

Steps:

6(1)+1= 7

6(2)+1= 13

6(3)+1=19

6(4)+1= 25

7,13,19,25

Answer is third choice

ANSWER

7,13,19,25

EXPLANATION

The given rule is:

6n+1

When n=1,

We obtain 6(1)+1=6+1=7...This is the first term.

When n=2,

6(2)+1=13

When n=3, we obtain,

6(3)+1=19

When n=4:

We have :

6(4)+1=25

The third choice is correct.

Answer:

b

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

                          ↑

The median of the data set is 57 → b

Answer:

A=$643.15

Step-by-step explanation:

We can use the formula

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Now we can plug the information in the problem into the formula

[tex]A=540(1+\frac{0.06}{1} )^{(1)(3)}\\\\A=643.15[/tex]

Answer:

The amount after 3 year = $ 643.15

Step-by-step explanation:

Compound interest  formula:

A = P[1 +R/n]^nt

Where A - amount

P - principle amount

R = rate of interest

t - number of times compounded yearly

n  number of years

To find the amount after 3 years

Here P = $540, R = 6%, t = 1 and n = 3 years

A = P[1 +R/n]^nt

 = 650[1 + 0.06/1]^(3*1)

 = 540[1.06]^3

 = $ 643.15

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

[tex]f(x) = x^{2}[/tex]

In order to find f(-3) we will put -3 in place of x

So putting -3,

[tex]f(-3) = (-3)^{2}[/tex]

[tex]f(-3) = 9[/tex]

So, the value of function at -3 is 9 ..

Answer:  [tex]f(-3)=9[/tex]

Step-by-step explanation:

Given the quadratic function [tex]f(x)=x^2[/tex], you can find [tex]f(-3)[/tex] by substituting the input value [tex]x=-3[/tex] into this function, with this procedure you will get the corresponding output value.

Therefore, when [tex]x=-3[/tex], you get that the output value is the following:

[tex]f(x)=x^2\\\f(-3)=(-3)^2[/tex]

NOTE: Since the exponent is an even number, the result will be positive, because:

[tex](-3)(-3)=3[/tex]

Therefore, knowing this, you get that [tex]f(-3)[/tex] of the function [tex]f(x)=x^{2}[/tex] is:

[tex]f(-3)=9[/tex]

The rate is 5.4 per month so in two months gains 10.8

Answer:

10.8 kg

Step-by-step explanation:

We are given that weight of young Sumo wrestler is given by

[tex]w(t)=80+5.4t[/tex]

We have to find the weight of wrestler gain in every months.

In order to find the weight gain in 2 month we will find out w(2)

Then, we get

[tex]w(2)=80+5.4(2)[/tex]

[tex]w(2)=80+10.8[/tex]

[tex]w(2)=90.8[/tex]

Weight gain in 2 month=90.8-80=10.8 kg

Hence,the wrestler gain 10.8 kg in every 2 months.

Answer: [tex]A_{circle}=616cm^2[/tex]

Step-by-step explanation:

You can observe in the figure that the value of the diameter of the circle is

[tex]d=28cm[/tex]

Then, since you know the diameter , you can use this formula for calculate the area of the circle:

[tex]A_{circle}=\frac{\pi d^2}{4}[/tex]

Where "d" is the diameter.

Then, substituting  [tex]d=28cm[/tex] and  [tex]\pi =\frac{22}{7}[/tex] into the formula, you can estimate the area of the circle. This is:

[tex]A_{circle}=\frac{(\frac{22}{7})(28cm)^2}{4}[/tex]

[tex]A_{circle}=616cm^2[/tex]

Answer:

The dot is the center

the long line is the diameter

the circle is the circumference

the half way line is the radius

The parts of a circle include the center, radius, diameter, chord, arc, sector, segment, and circumference.

A certain car depreciates about 15% each year that car valued at $20,000 in 2005 will be worth $10,000 in approximately 4.96 years later, which is around the end of 2009.

To model the depreciation in value of a car that depreciates about 15% each year, we can use the formula:

[tex]V(t) = V(0) * (1 - r)^t[/tex]

where V(0) is the initial value of the car, r is the annual depreciation rate, t is the time in years, and V(t) is the value of the car after t years.

Using this formula, we can model the depreciation of a car valued at $20,000 as:

[tex]V(t) = 20000 * (1 - 0.15)^{t}[/tex]

To predict when this car will be worth $10,000, we can set V(t) to 10000 and solve for t:

[tex]10000 = 20000 * (1 - 0.15)^{t}[/tex]

Taking the natural logarithm of both sides, we get:

ln(0.5) = -0.15t * ln(e)

Simplifying this expression, we get:

t = ln(0.5) / (-0.15 * ln(e))

Using a calculator, we find that t is approximately 4.96 years.

Therefore, a car valued at $20,000 in 2005 will be worth $10,000 approximately 4.96 years later, which is around the end of 2009.

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Complete Question

A certain car depreciates about 15% each year. Write a function to model the depreciation in value for a car valued at $20,000. Predict when a car valued at $20,000 in 2005 will be worth $10,000.

Answer:

Since A and B are independent:

P(A and B) = P(A) * P(B)

P(A and B) = 0.34 * 0.56 = 0.1904

* Hopefully this helps:)!!

Mark me the brainliest:)!!

~234483279c20~

Answer:

For Answer 7 its the first one   (x + 6) • (x - 7)

Step-by-step explanation:

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-x-42  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -42  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42  

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   -1 .

     -42    +    1    =    -41  

     -21    +    2    =    -19  

     -14    +    3    =    -11  

     -7    +    6    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  6  

                    x2 - 7x + 6x - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x-7)

            Which is the desired factorization

Final result :

 (x + 6) • (x - 7)

Answer:

[tex]V = 2827.43\ units^3[/tex]  or [tex]V = 900\pi\ units^3[/tex]

Step-by-step explanation:

The volume of a cylinder is calculated by the following formula

[tex]V = \pi r^2 *h[/tex]

Where r is the radius of the cylinder and h is the height

In this case we know that the radius r of the base is:

[tex]r=10\ units[/tex]

and

[tex]h=9\ units[/tex]

So the Volume is:

[tex]V = \pi (10)^2 *9[/tex]

[tex]V = 900\pi\ units^3[/tex]

[tex]V = 2827.43\ units^3[/tex]

Answer:

The volume is [tex]2827.4units^3[/tex] to the nearest tenth

Step-by-step explanation:

The volume of cylinder is : [tex]V=\pi r^2h[/tex]

The base radius of the cylinder is r=10 units.

The height of the cylinder is h=9 units.

Substitute the values into the formula to get;

[tex]V=\pi \times 10^2\times 9[/tex]

[tex]V=900\pi units^3[/tex]

[tex]V=2827.4units^3[/tex] to the nearest tenth

Using translation concepts, it is found that the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

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

In this problem, the parent function is given by:

G(x) = x².

Then, these following translations happen:

Thus, the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

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Answer:

16.3 ± 0.8391

Step-by-step explanation:

The confidence interval is:

CI = x ± SE * CV

where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).

Here, x = 16.3.

The standard error for a sample mean is:

SE = σ / √n

SE = 1.5 / √25

SE = 0.3

The critical value is looked up in a table or found with a calculator.  But first, we must find the alpha level, the critical probability, and the degrees of freedom.

α = 1 - 0.99 = 0.01

p* = 1 - (α/2) = 1 - (0.01/2) = 0.995

df = n - 1 = 25 - 1 = 24

Since df < 30, we use a t-score.  Looking up in a t-table, we find the critical value is CV = 2.797.

Therefore:

CI = 16.3 ± (0.3 * 2.797)

CI = 16.3 ± 0.8391

A quadrilateral has four sides

Answer:

A quadrilateral has four sides.

Example:

The following figures are quadrilaterals and have 4 sides.

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.

To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.

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Answer:

The volume of the composite figure is equal to [tex]400\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the area of the rectangular prism plus the volume of the rectangular pyramid

step 1

Find the volume of the rectangular prism

The volume is equal to

[tex]V=LWH[/tex]

we have

[tex]L=12\ in[/tex]

[tex]W=4\ in[/tex]

[tex]H=5\ in[/tex] ----> height of the rectangular prism

substitute

[tex]V=12*4*5=240\ in^{3}[/tex]

step 2

Find the volume of the rectangular pyramid

The volume is equal to

[tex]V=\frac{1}{3}LWh[/tex]

we have

[tex]L=12\ in[/tex]

[tex]W=4\ in[/tex]

[tex]h=10\ in[/tex] ----> height of the rectangular pyramid

substitute

[tex]V=\frac{1}{3}(12)(4)(10)=160\ in^{3}[/tex]

step 3

Adds the volumes

[tex]240\ in^{3}+160\ in^{3}=400\ in^{3}[/tex]

Answer:

Go to desmos.com/calculator

Step-by-step explanation:

It has a graphing calculator and it super easy to plug in.

The equation of the line of the best fit  for the data will be,y=2.07x-7.5.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The equation of the line is;

y=mx+c

y=2.07x-7.5

Hence, the equation of the line of the best fit will be,y=2.07x-7.5

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Answer:

(- 1, 0)

Step-by-step explanation:

The x- intercept is where the function crosses the x- axis.

The y- coordinate of any point on the x- axis is zero, hence

The point (- 1, 0 ) is the x- intercept

Answer:(-1,0)

Step-by-step explanation:

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

Answer:

4.0 is less than x is less than 12.0

Step-by-step explanation:

Hello!

Answer: (-6,8)

A coordinate graph might help.

Hope I helped in time!

Good luck!

~ Destiny ^_^

Answer:

the answer is b (-6,8)

Step-by-step explanation:

Answer:

your answer is:

(x-2)^2 +(y-2)^2=16

Hope this helps.

Brainliest plz :)

The standard equation of the given circle is (x-2)²+(y-2)²=16. This can be obtained by using the general equation of the circle.

The general equation of the circle is,

(x-h)²+(y-k)²=r² , where (h,k) is the center and r is the radius

                   (x-2)²+(y-2)²=4² ⇒ (x-2)²+(y-2)²=16

Hence the standard equation of the given circle is (x-2)²+(y-2)²=16.

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Answer:4.31

Step-by-step explanation: