Write the following arithmetic series in summation notation.
7+9+11+ . . . +35
..

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

Answer:

5/4 pounds

Step-by-step explanation:

Using unitary method:

4 days-------5 pounds

1 day---------5/4 pounds

Answer:

the answer for this question is 1

Answer:

Pencil is $15 and erasers are $5

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation:

the volume is 4/3 × pi × r^3

4/3 × 3 × 4^3

the volume is 256 cm cubed.

the radius is 4 cm.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

area square= side²

= (x-6)²

= x²-12x+36

Answer:

36

Formula:
Side² = Area
Step-by-Step Explanation
-6 x -6 = 36

Answer:

B. 2106 pi mm³

Step-by-step explanation:

the solution is attached,

Answer:

B.2106π mm^3

Step-by-step explanation:

here is the volume of a drill

[tex]\pi \: {r}^{2} h \: + \frac{1}{3} \pi \: {r}^{2} h[/tex]

[tex]\pi \times 81 \times 18 + \frac{1}{3} \times \pi \times 81 \times 24[/tex]

[tex] > > > 2106 \pi \: {mm}^{3} [/tex]

The ABC and XYZ statements are trigonometric statements

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

The total earning of the month be $4325 .

We have given that the Max has a monthly salary of $1,100 and also

earns 7.5% commission on his sales.

When Max had $43,000 in sales last month .

He earns  7.5% is commission

We have convert it into  the decimal form.

[tex]\frac{7.5}{100}=0.075[/tex]

Commission Max earns = 0.075 × Total sales of the last month

Commission Max earns= 0.075 × 43000

Commission Max earns  = $ 3225

Total earning of a month = Monthly salary + Commission earning

Total earning of a month  = $1100 + $3225

Total earning of a month  = $ 4325

Therefore the total earning of the month be $4325 .

The Option (c) is correct.

To learn more about the total earning visit:

https://brainly.com/question/25623677

Answer:

4x - 5y = 25

Step-by-step explanation:

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

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

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

-------------------------------------------------

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

Answer:

Thus, the total food can be eaten by the cat in 4 weeks.Total weight of a bag of cat food = 3 lbs.The number of lbs the cat eats the food = 3/4 lbs each week.We need to find the number of weeks does one bag that is 3 lbs last.Now, the total food we have is 3 and cats eat 1/4th of total food each week.Thus, the total food can be eaten by the cat in 4 weeks.To know more about it, please refer to the link:brainly.com/question/12457996

Step-by-step explanation:

Answer:

1- 34,000 Millimeters in 34 meters

2- 50 Millimeters in 5 Cm

3- 6mm is already in milimeter form

Step-by-step explanation:

1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters

10 millimeters are in 1 CM, so 50 millimeters make up 5 cm

Answer:

34m=34x10³mm=34000mm

5cm=5x10mm=50mm

6mm=6mm

Answer:

12.75

Step-by-step explanation:

12.75

Answer:

24 percent

Step-by-step explanation:

Answer:

X/4 = 2

X=8

8 divided by 4 is 2 and 4x2 is 8

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

Answer:

Step-by-step explanation:

question doesnt make sense

Answer: 64x + 30

Step-by-step explanation:

         Since this is an expression, we will simplify. Let � be x.

    Given:

32 + 4 * (16 * x) -2

    Simplify:

32 + 4(16x) -2

    Distribute / multiply:

32 + 64x - 2

    Combine like terms

64x + 30

Answer:

X= -27

Step-by-step explanation:

X+12= -15

X= -15 -12

X= -27

The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes

The number of bushes needed = perimeter of the backyard / 3 feet

The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.

Length of the third side : √30² - 12² = 27.50 feet

Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet

The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes

To learn more about triangles, please check: https://brainly.com/question/22949981

Answer: 224

Step-by-step explanation:

on the white boards

Answer:

i did it

Step-by-step explanation: