A scatter plot is made to model the amount of money left to pay on a car loan. The data used for the scatter plot are shown in the table:

We don't get to see the figure but we don't need it.

The remaining angle B is

B = 180 - 27 - 78 = 75°

The Law of Sines gives the remaining sides

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]a = \dfrac{b \sin A}{\sin B} = \dfrac{66 \sin 27}{sin 75} \approx 31.0203[/tex]

[tex]c = \dfrac{b \sin C}{\sin B} = \dfrac{66 \sin 78}{sin 75} \approx 66.8350[/tex]

Answer: B=75°, a=31.0, c=66.8

No need for "or" on this one.  That happens when we know the sine of an angle so there are two possibilities for the angle, an acute one and an obtuse one that's supplementary.

For this case we must find an expression equivalent to:

[tex](2 \frac {1} {2} * 2 \frac {3} {2}) ^ 2[/tex]

So, we have:

[tex]2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}\\2 \frac {3} {2} = \frac {2 * 2 + 3} {2} = \frac {7} {2}[/tex]

Rewriting the expression:

[tex](\frac {5} {2} * \frac {7} {2}) ^ 2 =\\(\frac {35} {4}) ^ 2 =\\\frac {35} {4} * \frac {35} {4} =\\\frac {1225} {16} =\\76 \frac {9} {16}[/tex]

Answer:

[tex]76 \frac {9} {16}[/tex]

Answer:

So ordered pair a is (2,11)

Step-by-step explanation:

We are given

a = b+c

and ordered pair b =(6,3) and ordered pair c =(-4,8)

Putting values of b and c in the given equation and adding x and y coordinates of b and c we can find ordered pair a.

a=(6,3)+(-4,8)

a =(6-4,3+8)

a =(2,11)

So ordered pair a is (2,11)

Answer:

no

Step-by-step explanation:

6 times 6 is 36 and 36 plus 4 is 40 not 42

Answer:

You'll get your answer as : 233

Answer:

<1 = 45

<2 = 50

Step-by-step explanation:

Let <1 = x

Let <2 = y

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

x + y = 95

y = 2*x - 40

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

I think the easiest way to do this is to substitute the second or bottom equation into the top equation. Substitute for y

x + 2x - 40 = 95                    Combine like terms on the left.

3x - 40 = 95                          Add 40 to both sides.

3x -40+40 = 95+40              Combine

3x = 135                                 Divide by 3

x = 45

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

Now use the top equation to solve for y

x + y = 95

45 + y = 95                             Subtract 45 from both sides.

45 - 45 + y = 95 -45               Combine

y = 50

Well, you can’t really divide a fraction because it is already a division problem. So we have to do the opposite.

9/4 divided by3/16

Leave the first fraction alone

Change the division sign into a multiplication sign.

Then switch the denominator and numerator of the second fraction, this new fraction is called a reciprocal.

Now multiply the numerators together and the denominators together and simplify.

You get: 144/12

Simplified the answer is : 12

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

Answer: (It didn't say what to have the units in so I assumed as is)

(pm) 5sqrt(6)/2

(pm) 6.12372           (rounded version)

Step-by-step explanation:

F=mv^2/r  (Given)

rF=mv^2    (Multiply both sides by r)

rF/m=v^2   (Divide both sides by m)

v=(pm) sqrt(rF/m)  (Square root both sides)-(pm means plus or minus)

v=(pm) sqrt(rF)/sqrt(m)  

v=(pm) sqrt(rF)sqrt(m)/m   (I had multiply top and bottom by sqrt(m))

v=(pm) sqrt(rFm)/m

*sqrt( ) means square root of whatever is in the (  ) that follows the sqrt

Now find v if F=50, m=100 kg, and r=150/2=75 so plug in

v=(pm) sqrt(75*50*100)/100

v=(pm) sqrt(375000)/100  OR

v=(pm) sqrt(100*25*3*25*2)/100

v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100

v=(pm) 250sqrt(6)/100

v=(pm) 2.5sqrt(6)

v=(pm) 5sqrt(6)/2

Or if you want a decimal number rounded, it would be (pm) 6.12372

The formula for calculating the centripetal force of an object in circular motion can be rearranged to find velocity. You compute the tangential velocity of a 100kg object with a force of 50N, moving on a circular path with a diameter of 150m, by plugging these values into this rearranged formula. This calculation results in a value of approximately 61.24 m/s for the tangential velocity of the object.

The formula F=mv^2/r calculates the centripetal force (F) of an object of mass (m) moving in a circular path with a radius (r). You can solve this formula for velocity (v) by first multiplying both sides by r, making the formula Fr=mv^2. Then, divide both sides by m, which makes the formula Fr/m = v^2. Finally, take the square root of both sides to get v = √(Fr/m).

To calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters, you must first divide the diameter of the circle by 2 to get the radius, 75 meters. Next, substitute the given values into the formula; v = √((50N * 75m) / 100kg). Therefore, the tangential velocity is approximately √(3750N·m/kg) = 61.24 m/s.

https://brainly.com/question/33443064

#SPJ3

Answer:

3.0 cm

Step-by-step explanation:

The Law of Sines states the relationship between the sides and the angles of non-right (oblique) triangles.

In the given triangle,the following relation holds;

[tex]\frac{4.7}{sin(95)}=\frac{a}{sin(40)}\\\\a=\frac{4.7}{sin(95)}*sin(40)\\\\a=3.03[/tex]

Answer:

Option C. a = 3.0 cm

Step-by-step explanation:

We have to find the value of a from the given triangle ABC.

By applying sine rule in ΔABC

[tex]\frac{sin95}{4.7}=\frac{sin40}{a}[/tex]

Now we cross multiply in the given equation.

a(sin95°) = 4.7(sin40°)

a(0.9962) = 4.7(0.6428)

a = [tex]\frac{4.7(0.6428)}{0.9962}[/tex]

a = 3.03 cm ≈ 3.0 cm

Therefore, a = 3.0cm Option C. will be the answer.

Answer:

[tex]\large\boxed{V=288\pi}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{W have the radius}\ R=6.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi[/tex]

Step-by-step explanation:

(700 4/7) ÷ (1 2/5)

Write the fractions in improper form:

(4904/7) ÷ (7/5)

To divide by a fraction, multiply by the reciprocal:

(4904/7) × (5/7)

24520/49

500 20/49

There are 500 pieces.

Answer:

(700 4/7) ÷ (1 2/5)

Write the fractions in improper form:

(4904/7) ÷ (7/5)

To divide by a fraction, multiply by the reciprocal:

(4904/7) × (5/7)

24520/49

500 20/49

There are 500 pieces.

Answer:

4

Step-by-step explanation:

3 + 1 = 4

4 to the second power / 4 is 4

Hello There!

[tex]4^{2}[/tex] is multiplying 4 by itself twice, so we would get an answer of 16.

Finally, we divide 16 by 4 because 3+1=4 and when we do this, we get a quotient of 4

Your Answer Is 4

Answer:

B

Step-by-step explanation:

And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.

It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.

It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.

It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.

And it is B because the numbers maintain a constant difference between each other, which is -3.

Answer:

B

Step-by-step explanation:

An arithmetic sequence has a common difference (d) between consecutive terms.

The only sequence with a common difference is B

1 = 4 = - 3

- 2 - 1 = - 3

- 5 - (- 2) = - 5 + 2 = - 3

Answer:

3/2

Step-by-step explanation:

6 3/4 (2/9)

(27/4)(2/9)

4 divided by 2 is 2.

27 divided by 9 is 3.

Answer: 3/2

Answer:

B

Step-by-step explanation:

Circumference of a circle is:

C = 2πr

Area of a circle is:

A = πr²

The circumference of the well is 47 ft and the area of the well in the drawing is 0.641 cm².  If we say r is the radius of the circle on the drawing in centimeters and R is the actual radius of the well in feet, then:

47 = 2πR

0.641 = πr²

Solving for each:

R = 47 / (2π) ≈ 7.48 feet

r = √(0.641 / π) ≈ 0.452 cm

The scale is the ratio of R / r:

R / r = (7.48 ft) / (0.452 cm) = 16.6 ft/cm

So 1 cm = 16.6 ft.

This isn't one of the options.  Are you sure you copied the problem correctly?

Maybe you meant that the circumference is 4π feet, and the area is 0.64π cm².  If so:

R = 4π / (2π) = 2 feet

r = √(0.64π / π) = 0.8 cm

R / r = (2 feet) / (0.8 cm) = 2.5 ft/cm

So 1 cm = 2.5 ft.

The answer to this question is that Julie weighs 210lbs, Ted weighs 420 (210 multiplied by 2 is 420). Mike weighs 630 (210 multiplied by 3 is 630). So, it would be "Julie weighs 210a0 pounds, Ted weighs 420 a1 pounds, and Mike weighs 630a2 pounds."

I hope this answer helps!

"Stay Brainly and stay proud!" - Zalgo

Answer:

Julie=35 lbs, Ted= 70 lbs, and Mike=105 lbs

Step-by-step explanation:

Julie=x ted=2x mike=3x

The sum of their weight all together is 210 pounds

Combine the x's

6x=210

Divide both sides by 6 to get 1x (Julies weight)

6x/6 = 210/6

1x= 35 (Julie weighs 35 lbs)

35 x 2= 70 ( Ted weighs 70 lbs)

35 x 3= 105 ( Mike weighs 105 lbs)

- Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

5 is 2 more than 2 so the the first part would be 2.

[tex]\dfrac{5}{2}=\dfrac{2\cdot2+1}{2}=2\dfrac{1}{2}[/tex]

The complete statements of the expression are

How to complete the statements in the expression

From the question, we have the following parameters that can be used in our computation:

5x - 8(3y + 13) - 1

Consider an expression

Ax + b

Where x is the variable, we have

Using the above as a guide, we have the following:

In the first term, 5 is a coefficient

In the second term, (3y+ 13) is a factor

In the third term, -1 is a constant

Question

Use the given expression to complete the statements.

5x– 8(3y + 13) – 1

In the first term, 5 is a _____

In the second term, (3y+ 13) is a ______

In the third term, -1 is a ______

Answer:

8

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = 8

Answer:

0.0000000692

Step-by-step explanation:

We are given the following number in scientific notation and we are to express it in standard notation:

[tex] 6 . 9 2 \times 1 0 ^ - 8 [/tex]

We know that:

[tex] 6 . 9 2 \times 1 0 ^ { - 8 } = \frac { 6 . 9 2 } { 1 0 ^ { 8 } } = \frac { 6 . 9 2 } { 1 0 0 , 0 0 0, 0 0 0 } = 0 . 0 0 0 0 0 0 0 6 9 2 [/tex]

Therefore, the answer in standard notation is 0.0000000692.

Answer:

0.0000000692

Step-by-step explanation:

6.92 x [tex]10^{-8}[/tex]

= 6.92 x 0.00000001

= 0.0000000692

Final answer:

To find the coordinates of point C when given the midpoint M and point D, we find the average of the endpoints' coordinates. Solving the equations, we find that the coordinates of point C are (2, 8).

Explanation:

The student is asking to find the coordinates of point C given that the midpoint M of line segment CD is at (6, 6), and point D is at (10, 4). To find point C, we use the concept that the midpoint's coordinates are the average of the coordinates of the endpoints of the segment. That means:

The x-coordinate of C can be found by the equation 6 = (xC + 10) / 2 which leads to xC = 2(6) - 10,

The y-coordinate of C can be found by the equation 6 = (yC + 4) / 2 which leads to yC = 2(6) - 4.

Solving for xC and yC, we find:

xC = 12 - 10 = 2,

yC = 12 - 4 = 8.

Therefore, the coordinates of point C are (2, 8).

Answer:

Demand: q = -50p + 1200

Supply: q = 40p

Step-by-step explanation:

First let's define our variables.

q = quantity of T-shirts

p = price

We know that when p = 12, q = 600.  When p increases by 1, q decreases by 50.  So this is a line with slope -50 that passes through the point (12, 600).  Using point-slope form to write the equation:

q - 600 = -50 (p - 12)

Converting to slope-intercept form:

q - 600 = -50p + 600

q = -50p + 1200

Similarly, we know that when p = 9.75, q = 600 - 210 = 390.  When p increases by 1, q increases by 40.  So this is a line with slope 40 that passes through the point (9.75, 390).  Using point-slope form to write the equation:

q - 390 = 40 (p - 9.75)

Converting to slope-intercept form:

q - 390 = 40p - 390

q = 40p

Konichiwa~! My name is Zalgo and I am here to help you out today. If f were to equal -3, first we need to put -3 into the equation. It would look like "f(-3)=x^2". The answer to that equation is 9.

I hope that this helps! :T

"Stay Brainly and stay proud!" - Zalgo

Answer:

0.0072

Step-by-step explanation:

7.2 x [tex]10^{-3}[/tex]

=7.2 x 0.001

=0.0072

Answer:

0.0072

Step-by-step explanation:

The given expression is as follows:

7.2 * 10^(-3)

This expression is in scientific notation, We need to convert it to standard notation for which we will convert the power of 10 to 0.

The power of 10 here is -3. So we will move the decimal point 3 places to the left and get:

= 0.0072 x 10^0

= 0.0072 x 1

= 0.0072

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

Answer:

3619.11 cubic inches

Step-by-step explanation:

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

diameter is 16 in, so radius (r) is 8 in

plug in values: [tex]V=\pi 8^2(18) = 3619.11[/tex] cubic inches

The volume of a cylinder with a diameter of 16 inches and a height of 18 inches is calculated using the formula V = πr²h, which results in approximately 3617.3 cubic inches when rounded to the nearest tenths place.

To calculate the volume of a cylinder, we use the formula V = πr²h. Given that the diameter of the cylinder is 16 inches, which means its radius (r) is half of that, 8 inches. The height (h) of the cylinder is given as 18 inches. To find the volume, first square the radius, then multiply by π (approximated as 3.14 for this purpose), and then by the height.

So, the calculation looks like this:

Therefore, the volume of the cylinder, rounded to the nearest tenth place, is 3617.3 cubic inches.

Jeff can make his choices independently so there are a total of

[tex] 2 \times 14 \times 4[/tex]

different sundaes.  

Answer: D. 112

Answer:

D 112

Step-by-step explanation:

Just multiply the number of different ways to choose things to come up with all your possibilities.

That is you just do 2(14)(4)=28(4)=112

Answer:

C. 2π

Step-by-step explanation:

Given a wave of the equation y= a sin bx where a and b are constants, then the amplitude is a while the period is 360°/b.

360°= 2π radians  

For the provided function, the value of b =  

Thus period = 2π/1

=2π radians

Answer: 2 Pi

Step-by-step explanation:

Answer:

9 boxes are packed and 10 brownies are left over.

Step-by-step explanation:

Carrie made 127 brownies and packed 13 in each box.

The number of boxes packed are; [tex]\frac{127}{13}[/tex] = 9[tex]\frac{10}{13}[/tex]

Which means that 9 boxes were packed and 10 brownies were left over.