A student solves the following equation and determines that the solution is −2. is the student correct? explain. 3 a 2 − 6a a2 − 4 = 1 a − 2

Answer:-63

Step-by-step explanation:

well first you would do 4-11 which is -7 and then -7x9=-63

Answer:

-63

Step-by-step explanation:

1. Subtract 11 from both sides:

[tex]\frac{x}{9} =-7[/tex]

2. Multiply both sides by 9 to isolate x:

[tex](9)\frac{x}{9} =-7(9)[/tex]

x = -63

hope this helps!

The interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

The compound interest is the interest added on a sum of money invested over a period of time. The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given the following

P =  $6,599.20

r = 4.2%  = 0.042

n = 12 (monthly)

t = 7 years

Substitute

A =  6,599.20 (1+0.042/12)^7(12)
A =  6,599.20 (1.0035)^84
A= $8,850.20

Interest = $8,850.20 -  $6,599.20

Interest = $2,250.96

Hence the interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

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Answer:

IT'S A !

Step-by-step explanation:

EDGE

Answer:

D) Quadrant III

Step-by-step explanation:

The point (-4, -5) is located in the 3rd quadrant, in which both the x axis and the y axis are negative.

π(5in)² * 30 over 360 can be used to determine sector area.

[tex]\sf sector \ area \ : \dfrac{\theta}{360} *\pi *radius^2[/tex]

# radius = 5 inches

# angle = 30 degrees

sector area:

[tex]\hookrightarrow \sf \dfrac{30}{360} *\pi *5^2[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{12} *\pi *25[/tex]

[tex]\hookrightarrow \sf \dfrac{25}{12}\pi[/tex]

[tex]\hookrightarrow \sf 6.54 \ inch^2[/tex]

Answer:

[tex]\pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)[/tex]

π(5in)² 30 over 360

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

(where [tex]\theta[/tex] is the angle and r is the radius)

Given:

Substituting these values into the equation:

[tex]\begin{aligned}\implies\textsf{Area} &=\left(\dfrac{30^{\circ}}{360^{\circ}}\right) \pi \cdot (5\: \sf in)^2\\\\ & = \pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)\\\\ & = \pi \cdot 25\:(\sf in^2) \cdot \dfrac{1}{12}\\\\ & = \dfrac{25}{12} \pi \:(\sf in^2) \\\\ & = 6.54\: \sf in^2\:(nearest\:hundredth) \end{aligned}[/tex]

Simple interest is a method of calculating interest on an amount. The sum of the total balances of these accounts at the end of 7 years is $27,822.54.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\rm Simple\ Interest=\dfrac{P\times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given that the amount deposited by James is $12,000. While the interest earned on the first account is 2.2% compounded annually for a period of 7 years, therefore, the balance in the account will be,

[tex]\text{Account balance of first Account} = P(1+r)^t = 12,000(1.022)^7=\$13,974.54[/tex]

In the second account, James deposited $12,000 at a rate of 2.2% annual simple interest. Therefore, the balance in the account will be,

[tex]\text{Account balance of second Account} = P+\dfrac{P\times R \times T}{100}[/tex]

                                                        [tex]=12,000+\dfrac{12,000 \times 2.2 \times 7}{100} \\\\= \$13,848[/tex]

Now, the balance of the account when combined together will be,

[tex]\rm Total\ Balance = \text{Account balance of first Account} +\text{Account balance of second Account} \\\\\rm Total\ Balance = \$13,974.54+\$13,848 = \$27,822.54[/tex]

Hence,  the sum of the total balances of these accounts at the end of 7 years is $27,822.54.

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Answer:

Left to right, (26,100,50,41)

Step-by-step explanation:

a^2 + b^2 = c^2

100+576=676, sq root is 26

3600+6400=10,000, sq root is 100

900+1600=2500, sq root is 50

1600+81=1681, sq root is 41.

You square a and b, you add them together to get c squared. You then take the square root of c squared to get c.

Answer:

(0,0)

Step-by-step explanation:

a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates

The coordinates of the center of this circle is (0,0).

The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].

According to the question

The endpoints of the diameter of a circle are (6, 0) and (-6, 0).

now ,

(a,b) =  (6, 0)

(c, d)= (-6, 0)

coordinates of the center of circle = [ [tex]\frac{a+c}{2} ,\frac{b+d}{2}[/tex] ]

⇒ [tex]\frac{6-6}{2} ,\frac{0+0}{2}[/tex]

⇒ (0,0)

Hence, the coordinates of the center of this circle is (0,0).

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# SPJ2

Answer:

69.09yd

Step-by-step explanation:

9.8 times 14.1 divided by 2

because it is a triangle and when u do area with triangles u do bxh 1/2.

Answer: It's False.

Step-by-step explanation:

Step by step explanation below!

Answer:

x = -5.6

Step-by-step explanation:

-3x = 16.8

-3x/-3 = 16.8/-3

x = -5.6

The radius of the cone-shaped icecream that has a height of 4.5 in. and a volume of 1.5π in.³ is: 1 inches.

Volume = 1/3πr²h

The parameters of the cone are given below:

Height (h) = 4.5 in.

Volume of the cone = 1.5π in.³

Plug in the values to find radius (r):

1.5π = 1/3πr²(4.5)

3(1.5π) = πr²(4.5)

4.5π = πr²(4.5)

Divide both sides by 4.5π

1 = r²

r = 1 in.

Radius of the cone is 1 in.

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#SPJ1

Answer:

1.5 and 2

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .

We are solving this question by assuming ,

Solution : -

As question says that sum of two numbers is 6 that is :

Now , substituting value of first and second number which we have assumed above ,

[tex] \longmapsto \qquad \: x +2x + 3 = 6[/tex]

Step 1 : Adding like terms on left side :

[tex]\longmapsto \qquad \:3x + 3 = 6[/tex]

Step 2 : Subtracting with 3 on both sides :

[tex]\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3[/tex]

On further calculating, We have :

[tex]\longmapsto \qquad \:3x = 3[/tex]

Step 3 : Dividing with 3 on both sides :

[tex]\longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3} }= \cancel{ \dfrac{3}{3} }[/tex]

On calculating further, We get :

[tex]\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}[/tex]

We know that ,

Therefore , first number is ❝ 1 ❞ .

And ,

Therefore , second number is ❝ 5 ❞ .

Verifying : -

Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .

Therefore, our answer is correct .

Answer:

About 5 hr 10 min  

Step-by-step explanation:

rate 1   = 1  pool / 9 hrs          rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12)  =   1/ (7/36)  =   36/7 hr  = 5 1/7 hr = 5 hr 8.6 min

Answer:

y = x - 3

Explanation:

take two points: (1, -2), (2, -1)

Find slope:

[tex]\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }[/tex] where (x1, y1), (x2, y2)

[tex]\sf \rightarrow \dfrac{-1-(-2)}{2-1}[/tex]

[tex]\sf \rightarrow 1[/tex]

Equation:

y - y1 = m(x -x1)

y - (-2) = 1(x-1)

y + 2 = x - 1

y = x - 3

Answer:

[tex]\huge \boxed{\bf{y = x - 3}}[/tex]

Step-by-step explanation:

Given:-

Take two point:

To find:-

Ans:-

~Find slope in two point:

[tex]\sf \to m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\sf \to m = \frac{-1 - (-2)}{2 - 1} [/tex]

[tex]\sf \to m = \frac{1}{1} [/tex]

[tex]\sf \to m = 1 [/tex]

[tex] \: [/tex]

~Find equation:

[tex] \sf \to y - y_1 = m(x - x_1) [/tex]

[tex] \sf \to y - (-2) = 1(x - 1) [/tex]

[tex] \sf \to y + 2 = x - 1 [/tex]

[tex] \sf \to y = x - 1 - 2 [/tex]

[tex] \sf \to y = x - 3 [/tex]

[tex] \: [/tex]

[tex] \huge\colorbox{blue}{BlackPain} [/tex]

Answer:

width is 9

length is 13

Step-by-step explanation:

l=3b +4

w=b

(3b+4)2+2b=80

6b+8+2b=80

8b+8=80

8b=80-8=72

b=72/8

b=9

Answer:

i think its c but i could be wrong

Answer:

The answer is C.

Step-by-step explanation:

Using distributive property.

(5x-6)(2x+3) = (2x+3)(5x-6)

2x*(5x-6)+3*(5x-6)

Answer:

No

Step-by-step explanation:

9/24 does not equal 24/64

Answer:

yes

Step-by-step explanation:

When you think about it and turn these fractions into a decimal, you will find out that they are equal

9/24=2.66666666667

24/64=2.66666666667

Answer:

y = -x - 6

Step-by-step explanation:

Given:

From:

[tex]\displaystyle \large{y=mx+b}[/tex]

where m = slope and b = y-intercept. Therefore:

[tex]\displaystyle \large{y=-1x+b}\\\displaystyle \large{y=-x+b}[/tex]

Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:

[tex]\displaystyle \large{-8=-2+b}\\\displaystyle \large{-8+2=b}\\\displaystyle \large{b=-6}[/tex]

Then substitute b-value in the equation:

[tex]\displaystyle \large{y=-x+b}\\\displaystyle \large{\therefore y=-x-6}[/tex]

Hence, the equation is y = -x - 6

Answer:

y = -x - 6

Step-by-step explanation:

Hi there!

We are given that a line contains the point (2, -8), and a slope of -1

We want to find the equation of this line, in slope-intercept form

Slope-intercept form is written using the formula y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

Notice how we are already given the slope - we can immediately plug that into the equation as m.

y = -x + b (when -1 is the coefficient in front of a number, there is no need to write '-1x'. '-x' is sufficient.)

Now, we need to find b

The line contains the point (2, -8), meaning that it is a solution to the equation. If this is the case, that means that the values of x and y that make up the point will make the equation true, when you plug those values into the equation

So substitute 2 as x and -8 as y:

-8 = -2 + b

Add 2 to both sides

-8 = -2 + b

+2    + 2

_____________

-6 = b

Substitute -6 as b.

y = -x -6

Hope this helps!

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Answer:

A: 3/44

Step-by-step explanation:

If you draw a red ball, it would have a 3/12 probability and then if you draw a pink, it would have a 3/11. Multiply 3/11 to 3/12 to get 3/44

Hope I could help :)

Answer:

A

Step-by-step explanation:

Answer:

274 square units

Step-by-step explanation:

Surface Area of the prism

Here :

Solving

Answer:

[tex]274\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of top and bottom

[tex]A = l * w[/tex]

[tex]A = 13\ units * 4\ units[/tex]

[tex]A = 52\ units^2[/tex]

Top and bottom gives us (52 units^2 * 2) = 104 units^2

Step 2:  Determine the area of the sides

[tex]A = l * w[/tex]

[tex]A = 4\ units * 5\ units[/tex]

[tex]A = 20\ units^2[/tex]

Sides gives us (20 units^2 * 2) = 40 units^2

Step 3:  Determine the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 13\ units * 5\ units[/tex]

[tex]A = 65\ units^2[/tex]

Ffront and back gives us (65 units^2 * 2) = 130 units^2

Step 4:  Add up the areas to get the total surface area

[tex]104\ units^2 + 40\ units^2 + 130\ units^2[/tex]

[tex]274\ units^2[/tex]

Answer:  [tex]274\ units^2[/tex]

Answer:

7

Step-by-step explanation:

V = base x height

base = 5 x 6

5 x 6 = 30

V = 210

H = V/Base

H = 210/30

210/30 = 7

H = 7

Answer:

12

Step-by-step explanation:

20-6=14 (Distance between points) then 14*3/7=6.

3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is

3/7 of the distance from A=6 to B=20 by adding 6 to 6.

6+6= 12

Therefore, the point that is

3/7 from A=6 to B=20 is 12.

The length of the third side is a-2. :))

Answer:

  (b) 7.28 cis(105.945°)

Step-by-step explanation:

The trig form of a vector is always ...

  magnitude(cos(angle)·i +sin(angle)·j)

Sometimes, that is abbreviated ...

  magnitude cis(angle)  or  magnitude∠angle

where the "angle" is measured counterclockwise from the +x axis.

__

The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)

  u = 7.28(cos 105.945°i + sin 105.945°j)

Answer: 6.28

Radius:

r=d/2
r=2/2
r=1

Circumference:

C=2(3.14)r
C=2(3.14)x1
C=2(3.14)
C=6.28

Formulae:

Circumference= 2(3.14)r(radius)
Radius=Diameter/2

Answer:

Step-by-step explanation:

Answer:

y = (x-5)² - 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=(x-1)^2+2}[/tex]

Transformation:

[tex]\displaystyle \large{f(x-a)}[/tex] is translation of a units to the right

[tex]\displaystyle \large{f(x)-b}[/tex] is translation of b units down.

Therefore:

[tex]\displaystyle \large{g(x)=f(x-4)-5}[/tex] is our new equation or transformation:

[tex]\displaystyle \large{g(x)=[(x-4)-1]^2+2-5}\\\displaystyle \large{g(x) = [x-4-1]^2-3}\\\displaystyle \large{g(x)=(x-5)^2-3}[/tex]

Therefore, the new equation is y = (x-5)² - 3

Answer: 170.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.

__

In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.

  29° = bearing of B from A

__

As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...

  180° +29° = 209° . . . . . bearing of A from B

_____

* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.

On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.

We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV