Please help asap!!!!!!!!!!!

Answer: A, inside the circle.

Step-by-step explanation: Because the radius is wider than 4, (4,-1) would be just inside the circle instead of outside. Using the radius, you could determine that all points on the circle extend 5 units from its center, which means that the overall circumference would be past (4,-1).

Hope this helps,

LaciaMelodii :)

Answer:

12 5/8 tons were delivered by the third truck

Step-by-step explanation:

25 = 6 4/8 + 5 7/8 + x

25 = 12 3/8 + x

- 12 3/8

12 5/8 = x

Answer:

6 3/4

Step-by-step explanation:

5 7/8 * 2 +6 1/2 + X = 25

Do the algebra.

x = 6 3/4

Answer:

2.9%

Step-by-step explanation:

The problem says the stations are 260 feet apart.  Assuming that this is the horizontal distance between them, then the grade is:

7.5 / 260 × 100% = 2.9%

This is less than the maximum of 3.5%, so it meets the standards.

Answer:

Choice B is correct;  (10, 60)

Step-by-step explanation:

For Lisa to make a profit, the function R should assume a value greater than 0;

R > 0

We are to determine the interval of x values for which the above expression will be true.

From the graph, R(x) = 0 when x = 10. As x increases from 10 to 60, the value of R(x) remains positive, that is;

R(x) ≥ 0 for values of x in the interval (10, 60)

The domain that she should use in order to only model selling prices for which she will make a profit is thus;

(10, 60)

The compound inequality representing the range of possible values for 'x' (side length BC) in the triangle ABC, given that side lengths AB=13 and AC=21, is 8 < x < 34.

In the triangle ABC with side lengths, AB=13, AC=21, and BC=x, we use the triangle inequality theorem which states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and more than the absolute difference between them. Applying this theorem to your specific situation, we get the compound inequality 8 < x < 34. This inequality represents the range of possible values for the side length x is BC.

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For triangle ABC with sides AB = 13, AC = 21, and BC = x, the range of possible values for x is[tex]\( 8 < x < 34 \)[/tex] based on the triangle inequality theorem.

In triangle ABC, the relationship among its side lengths is governed by the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

For the given triangle with side lengths AB = 13, AC = 21, and BC = x, we can express this relationship as a compound inequality. Let \[tex]( a \), \( b \), and \( c \)[/tex]  represent the lengths of the sides of the triangle. According to the triangle inequality theorem, we have:

[tex]\[ a + b > c \][/tex]

Substitute the given values:

[tex]\[ 13 + x > 21 \][/tex]

Now, solve for[tex]\( x \)[/tex]

[tex]\[ x > 8 \][/tex]

Similarly, for the other pair of sides:

[tex]\[ 21 + x > 13 \][/tex]

Solving for \( x \):

[tex]\[ x > -8 \][/tex]

However, since side lengths cannot be negative, we disregard the second inequality. Therefore, the compound inequality representing the range of possible values for [tex]\( x \) is \( 8 < x < 34 \).[/tex] This means that any value of [tex]\( x \)[/tex] between 8 and 34 (exclusive) will satisfy the conditions for the given triangle.

Answer:

  KM = 20

Step-by-step explanation:

Point V is the midpoint of KM, so ...

  KV = VM

  2.5z = 5z -10

  10 + 2.5z = 5z . . . . . add 10

  10 = 2.5z . . . . . . . . . subtract 2.5z

This is sufficient to answer the question:

  KV = VM = 2.5z = 10

  KM = KV + VM = 10 + 10

  KM = 20

_____

In this case, it is not necessary to find the value of z. If you wanted to, you could divide by the coefficient of z in the last equation:

  10/2.5 = z = 4

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse

Side DF is opposite the marked angle, and the hypotenuse is EF, so ...

  sin(60°) = (√3)/2 = DF/(14√3) . . . . . to solve, multiply by the denominator

  DF = (√3)/2·(14√3) = 7·3 = 21

__

Likewise,

  Cos = Adjacent/Hypotenuse

Side DE is adjacent to the marked angle, so ...

  cos(60°) = 1/2 = DE/(14√3) . . . . . to solve, multiply by the denominator

  DE = (1/2)(14√3) = 7√3

Answer:

  17.8 hours

Step-by-step explanation:

Serena's bonus on $1200 sales is 15%×$1200 = $180. In order to make $500 for the week, then she must have at least ...

  $500 - 180 = $320

in hourly pay.

At $18 per hour, that requires she work $320/($18/h) = 17.77_7 h.

Serena must work a minimum of about 17.8 hours to make $500.

_____

Comment on the answer

The exact result of the computation is 17 7/9 hours. Many payroll departments record hours to the nearest 1/4 or 1/10 hour. For Serena's pay to be at least $500, she must work 17.8 (rounded to tenths) or 18.0 (rounded to quarters) hours.

Check the picture below.

Answer:

first u should find the radius .radius is half of diameter 12/2=6 so surface area of sphere is 4*3.142*6*6=452.448 square in

I hope this helps with you

Answer:

  (9x -2)(9x +2)

Step-by-step explanation:

Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.

  81x² - 4 = (9x +2)(9x -2)

Answer:

60

Step-by-step explanation:

We have been given the matrix;

[tex]\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right][/tex]

For a 2-by-2 matrix, the determinant is calculated as;

( product of elements in the leading diagonal) - (product of elements in the other diagonal)

determinant = ( 5*4) - (8*-5)

                     = 20 - (-40) = 60

Answer:

c. 60

Step-by-step explanation

math

Answer:

[tex]|AB|=30[/tex]

Step-by-step explanation:

From the diagram,

AO=OC=16 units, all radii of a circle are equal.

BO=OC+BC

BO=16+18

BO=34

A tangent to a circle will always meet the radius at right angles.

We use the Pythagoras Theorem to obtain:

[tex]|AB|^2+|AO|^2=|BO|^2[/tex]

[tex]|AB|^2+16^2=34^2[/tex]

[tex]|AB|^2+256=1156[/tex]

[tex]|AB|^2=1156-256[/tex]

[tex]|AB|^2=900[/tex]

Take positive square roots to get:

[tex]|AB|=\sqrt{900}[/tex]

[tex]|AB|=30[/tex]

diameter and height i think

Answer:

they describe diameter and height

26-diameter

34-height

According to the recursive formula,

[tex]a_2=a_1+4[/tex]

[tex]a_3=a_2+4=(a_1+4)+4=a_1+2\cdot4[/tex]

[tex]a_4=a_3+4=a_2+2\cdot4=a_1+3\cdot4[/tex]

and so on, with the general formula

[tex]a_n=a_1+(n-1)\cdot4[/tex]

Then

[tex]a_n=-2+4(n-1)=4n-6[/tex]

and the answer is C.

Answer:

C. an = 4n -6

Step-by-step explanation:

Only one of the offered choices gives a1=-2 for n=1.

___

The recursive formula tells you ...

a2 -a1 = 4

The only choices that increase by 4 when n increases by 1 are choices C and D. Of these, choice D gives a1=4·1+6 = 10 ≠ -2.

Choice C gives a1 = 4·1 -6 = -2, as required.

Answer:

The domain would be the set of all whole numbers.

Step-by-step explanation:

Integers are { ......-3, -2, -1, 0, 1, 2, 3....}

Whole numbers are {0, 1, 2, 3, ...... }

Real numbers are all numbers except imaginary number,

Positive integers are {1, 2, 3, 4, ....}

Given,

In the function f(x),

x represents the number of people in line,

We know that number of people can not be negative and it can be 0,

Thus, the possible value of x are 0, 1, 2, 3,......

Also, the domain of a function is the set of all possible value of input,

Since,  x represent the input for the function f(x),

Thus, the domain of f(x) would be the set of all whole number.

Second option is correct.

Answer:

Step-by-step explanation:

If Thaddeus drives the whole 16 hours, the distance between them is ...

  distance = speed · time

  distance = 20 mi/h · 16 h

  distance = 320 miles.

It is 45 miles more than that. For each hour that Ian drives, their separation distance increases by (25 mph -20 mph)·(1 h) = 5 mi. Then Ian must have driven ...

  (45 mi)/(5 mi/h) = 9 h

The rest of the 16 hours is the time that Thaddeus drove: 7 hours.

___

Let x represent the time Ian drives. Then 16-x is the time Thaddeus drives. Their total distance driven is ...

  distance = speed · time

  365 mi = (25 mi/h)(x) + (20 mi/h)(16 h -x)

  45 mi = (5 mi/h)(x) . . . . . . . . subtract 320 miles, collect terms

  (45 mi)/(5 mi/h) = x = 9 h . . . . . . divide by the coefficient of x

_____

Comment on the solution

You may notice a similarity between the solution of this equation and the verbal discussion above. (That is intentional.) It works well to let a variable represent the amount of the highest contributor. Here, that is Ian's time, since he is driving at the fastest speed.

To solve the problem, we need to set up two equations based on the information given in the problem. Solving the equations simultaneously gives Thaddeus has been driving for 7 hours and Ian has been driving for 9 hours.

First, we'll define the variables. Let's say the time Thaddeus has been driving is T hours, and the time Ian has been driving is I hours. The total distance they covered is the sum of the distances each one traveled, which is 365 miles. Thaddeus travels at a rate of 20 mph, while Ian travels at 25 mph. This is represented by the equation 20T + 25I = 365.

Next, we know that the total time they have been driving is 16 hours, which gives us another equation, T + I = 16. Now we have a system of linear equations that we can solve simultaneously to find the values of T and I. The solution gives T = 7 hours and I = 9 hours. Hence, Thaddeus has been driving for 7 hours and Ian has been driving for 9 hours.

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Hi the answer is 344

Answer:

140

Step-by-step explanation:

54-75=-21

-21+81=60

60-(-27)=87 or 60+27=87

87+53=140

Answer:

  x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

  ∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

  5x = 2x + 33°

  3x = 33° . . . . . . . . . subtract 2x

  x = 11° . . . . . . . . . . . divide by 3

Final answer:

To determine the probability of the instructor finishing grading before 11:00 P.M., calculate the expected time to grade 40 exams, determine the standard deviation, and then use the z-score to find the corresponding probability from the standard normal distribution.

Explanation:

To tackle these statistics problems, there are several concepts we need to apply including expected value, standard deviation, the central limit theorem, hypothesis testing, and probability. Since only one problem can be answered at a time, I'll focus on the first one you've mentioned about the grading times for exams.

The instructor's time to grade each paper is a random variable with an expected value of 6 minutes and a standard deviation of 6 minutes. When considering the grading of 40 papers, we can use the central limit theorem which suggests that the sum of these independent random variables will be approximately normally distributed given the large number of papers (n=40).

We first calculate the expected total time to grade 40 exams by multiplying the individual exam time's expected value by the number of exams: 6 minutes/exam * 40 exams = 240 minutes. Then, we calculate the standard deviation for the total grading time: 6 minutes/exam * √40 ≈ 37.95 minutes.

To find the probability that the instructor finishes grading before 11:00 P.M., we need to calculate the number of minutes from 6:50 P.M. to 11:00 P.M., which is 250 minutes. Next, we convert this problem into a z-score problem where we find the z-score corresponding to 250 minutes. Finally, we look up this z-score in a standard normal distribution table (or use statistical software) to find the corresponding probability.

[tex]S[/tex] is a closed surface with interior [tex]R[/tex], so you can use the divergence theorem.

[tex]\vec F(x,y,z)=x\,\vec\imath+y\,\vec\jmath+9\,\vec k\implies\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(x)}{\partial x}+\dfrac{\partial(y)}{\partial y}+\dfrac{\partial(9)}{\partial z}=2[/tex]

By the divergence theorem, the flux of [tex]\vec F[/tex] across [tex]S[/tex] is given by the integral of [tex]\nabla\cdot\vec F[/tex] over [tex]R[/tex]:

[tex]\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV[/tex]

Convert to cylindrical coordinates, setting

[tex]x=u\cos v[/tex]

[tex]y=y[/tex]

[tex]z=u\sin v[/tex]

The integral is then

[tex]\displaystyle2\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}\int_{y=0}^{y=8-u\cos v}u\,\mathrm dy\,\mathrm du\,\mathrm dv=\boxed{16\pi}[/tex]

The flux of a vector field across a surface is calculated using a surface integral, which involves integrating the dot product of the vector field and the differential area element over the surface. For closed surfaces, the outward orientation is used. Electric flux, the flux of the electric field across a surface, is mentioned as an example.

The flux of a vector field across a surface can be calculated using a surface integral. For the given vector field F(x, y, z) = x i + y j + 9 k and the surface S defined as the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 8, the flux is evaluated by integrating F·dS over the surface S.

The orientation of the surface is important in this process. For a closed surface, the positive (outward) orientation is used. The normal vector at any point on the surface points from the inside to the outside, and this outward normal is used to compute the flux through a closed surface.

Conceptually, this is like breaking the surface up into infinitesimally small patches dA and summing up the contributions of the vector field F (in this case, x i + y j + 9 k) through each patch - this is referred to as electric flux in the context of electric fields. This calculation embodies the concept of electric flux, which is defined as the scalar product of the electric field and the area vector.

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Answer: Yes you can using the sum of internal angles in a triangle they add up to 180, so if you add the two given angle measures and them substract the result from 180 you will have the measure of the third angle. Hope this helps. :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The base is defined as x. The height is said to be 3 less than 2x, so is (2x-3).

The formula for the area of a triangle is ...

  A = (1/2)bh

Filling in the given values, we have ...

  17.5 = (1/2)x(2x-3)

  35 = 2x^2 -3x . . . . multiply by 2

  2x^2 -3x -35 = 0 . . . . put in standard form

  (2x +7)(x -5) = 0 . . . . . factor

The base is 5 meters; the height is 2·5-3 = 7 meters.

The base and height of the triangle satisfying the given conditions are approximately 4.3 and 5.6 meters, respectively.

The area of a triangle is given by the formula 1/2 * base * height. Here, the area is 17.5 square meters, the base of the triangle is x, and the height of the triangle is 3 meters less than twice its base, therefore the height is 2x-3. Plugging these values into the formula, we get 17.5 = 1/2 * x * (2x - 3).

To solve this equation for x, first simplify the right-hand side, yielding 17.5 = x*(2x - 3). Multiplying this out gives 17.5 = 2x^2 - 3x. Then, rearrange to get the equation in standard quadratic form, resulting in 2x^2 - 3x - 17.5 = 0.

Through using quadratic formula we can find the solution(s) to be approximately x = 4.3 or x = -2.0. Since a negative value for x ? the base of a triangle ? is not possible, we discard that solution. Thus, the base of the triangle is 4.3 meters, and the height would then be 2*4.3 - 3 = about 5.6 meters.

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Answer:

B

Step-by-step explanation:

In the equation for interest compounding continuously, the A stands for the amount after the compounding is done, the P is the initial amount invested, the e is Euler's number, the r is the rate in decimal form, and the t is the time in years that the money is invested.  Setting up our equation with the given values looks like this:

[tex]A=22,000e^{(.0385)(11)}[/tex]

Multiply the rate with the time to simplify a bit to

[tex]A=22,000e^{.4235}[/tex]

Raise e to the power of .4235 on your calculator (hit 2nd then the ln button to get your e) and get

[tex]A=22,000(1.527297754)[/tex]

Multiply out to get $33600.55, but rounding up gives you B as your answer.

The balance in the account after 11 years is $33,600.6. Thus, the correct option is B.

Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.

The equation is given as,

[tex]\rm P=P_o \times e^{rt}[/tex]

The balance in the account after 11 years is calculated as,

[tex]\rm P = \$22,000 \times e^{0.0385\times 11}[/tex]

Simplify the equation, then we have

P = $22,000 x 1.52729

P = $33,600.6

Thus, the correct option is B.

More about the continuous compounding link is given below.

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Answer:

  2 cm and 6 cm

Step-by-step explanation:

The product of the dimensions must be 12 cm². (All answer choices meet that requirement.)

Opposite sides of a rectangle are the same length, so the sum of the two dimensions must be half the perimeter, 8 cm. The sums of the answer choices are ...

Only the first answer choice meets the requirement for a perimeter of 16 cm. The dimensions could be 2 cm and 6 cm.

6

×

2

Explanation:

For the rectangle

Length

=

ℓ

Breadth

=

b

Area is  

12

cm

2

ℓ

b

=

12

Perimeter is  

16

cm

2

(

ℓ

+

b

)

=

16

ℓ

+

b

=

8

Substitute  

b

=

12

ℓ

from first equation

ℓ

+

12

ℓ

=

8

ℓ

2

+

12

=

8

ℓ

ℓ

2

−

8

ℓ

+

12

=

0

Use quadratic formula (

x

=

−

b

±

√

b

2

−

4

a

c

2

a

) to find  

ℓ

ℓ

=

−

(

−

8

)

±

√

(

−

8

)

2

−

(

4

×

1

×

12

)

2

×

1

ℓ

=

8

±

√

16

2

ℓ

=

8

±

4

2

ℓ

1

=

8

+

4

2

=

6

ℓ

2

=

8

−

4

2

=

2

If  

ℓ

1

is taken as length then  

ℓ

2

is the breadth of the rectangle.

The answer is g(x) = (1/4 x)^2

It has a horizontal stretch of 4. Since it is horizontal it goes inside the parentheses and becomes the reciprocal of 4  which is  1/4

Hope this helped!

~Just a girl in love with Shawn Mendes

-288/5 or - 57.6 I used a calculator so I cannot solve step by step

Answer:

Cortex layer

Step-by-step explanation:

The fibrous protein core of the hair, formed by elongated cells containing melanin pigment, is the cortex layer

Answer:

The fibrous protein core formed by elongated cells that contains melanin pigment is the cortex.

The answer is:

Benji requires 90mL per injection.

From the statement we know that dog's weight is 12 kg, and daily injections are required for 3 days, the dose rate is 7.5 mg/kg, so we need to calculate how many mL per injection does Benji require.

We have that:

[tex]Weight=12Kg\\\\Dose=7.5\frac{mL}{Kg}[/tex]

If the dose rate is 7.5 mL per each Kg, how many mL are required for 12 Kg? We can set it up using the following relation:

[tex]7.5mL=1Kg\\x=12Kg\\\\x=\frac{7.5mL*12Kg}{1Kg}=\frac{90mL.Kg}{1Kg}=90mL[/tex]

Hence, we have that there are needed 90 mL per injection.

Have a nice day!