What is 10^4 in standard notation

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

Answer:

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price per seat when the average attendance is 810 fans = $ 13

For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.

2.  Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?

R(d) = (13 + 2d) (810 - 27d)

R(d) = 10,530 + 1,620d - 54d² - 351d

R(d) = -54d² + 1,269d + 10,530

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Answer:

A will be switched off and B will be switched on.

Step-by-step explanation:

Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.

107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.

Answer:

B

Step-by-step explanation:

Trust me :)

Hey there! I'm happy to help!

First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.

[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]

Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!

Have a wonderful day!

Answer:

As a mixed number the answer to your question will be 9 27/35 or 6 3/7

The steps will be below.

Step-by-step explanation:

You first have to convert theses mixed numbers to fractions.

3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.

Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!

2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.

Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!

Now if we multiply both of the factions we get the answer.

18/5 X 19/7

= 9 27/35 or 6 3/7

(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)

Hope this helps!

Area = length x width

Area = 12 x 6 = 72 cm^2

Answer is D

Answer:

The answer is option D.

Step-by-step explanation:

Area of a rectangle = length × width

From the question

length = 12 cm

width = 6 cm

Area = 12cm × 6cm

We have the final answer as

Hope this helps you

Hi,

[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]

Have a good day.

Answer:

the last one is equal to the question....

Step-by-step explanation:

Answer:

(5√11)/11 (option 1)

Step-by-step explanation:

If you multiply both the top and bottom by √11, you will get 5√11/11.

Next, make sure that the other answers are wrong.

5=√25, so

√11*5=√11*√25

So option 2 and 3 are incorrect.

#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

Answer:

The third option is your answer

Step-by-step explanation:

Because the fee is equal 6% or 0.06 of the balance  in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]

hope this helps, if it does please mark brainliest!!

Answer:

50

Step-by-step explanation:

1÷6×150=25

1÷6×150=25

ans:25+25

=50

The measure of the length of line segment BC will be 31.2 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.

Let x be the length of BC.

x / 12 = 13 / 5

      x = 31.2

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

31.2 units

Step-by-step explanation:

Answer:

Triangular Prism

Step-by-step explanation:

Answer:

Triangular Prism

Step-by-step explanation:

Because I'm smart

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

https://brainly.com/question/14966973

#SPJ6

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

Answer:

x=26

Step-by-step explanation:

m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM

132=3x+54 SUBSTITUTION

132-54=3x

78=3x

x=26 ALGEBRA

Answer:

[tex]Profit = \$250[/tex]

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

Determine the profit after sales

First, we need to determine the total cost price;

[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]

[tex]Cost\ Price = 50 * \$5.5[/tex]

[tex]Cost\ Price = \$275[/tex]

First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]

[tex]Half\ of\ the\ toy = 25[/tex]

[tex]Sales = \$15 * 25[/tex]

[tex]Sales = \$375[/tex]

____________________________________________________

Two-fifth of the remaining was sold at half of the sales price

From the above calculation;

[tex]Remaining\ Toy = 50 - 25[/tex]

[tex]Remaining\ Toy = 25[/tex]

Calculating Two-fifth of the remaining:

[tex]\frac{2}{5} * 25[/tex]

[tex]= \frac{50}{5}[/tex]

[tex]= 10[/tex]

Calculating half of the sales price:

[tex]\frac{1}{2} * \$15[/tex]

[tex]\$7.5[/tex]

This means that 10 toys were sold for $7.5

[tex]Sales = 10 * \$7.5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

The remaining was sold at one-third of the sales price

From the above calculations (1 & 2);

[tex]Remaining\ Toy = 50 - 25 - 10[/tex]

[tex]Remaining\ Toy = 15[/tex]

Calculating one-third of the sales price:

[tex]\frac{1}{3} * \$15[/tex]

[tex]\$5[/tex]

This means that 15 toys were sold for $5

[tex]Sales = 15 * \$5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

Now the total sales can be calculated;

[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]

[tex]Total\ Sales = \$525[/tex]

[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]

[tex]Profit = \$525 -\$275[/tex]

[tex]Profit = \$250[/tex]

Answer:

3

Step-by-step explanation:

because its equal to the other side that says 6

x + 3 = 6

x = 6 - 3

x = 3

hope this is correct

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

23

el número es 32 y si sumamos los dos dígitos suman 5

y si restamos 9 a 32 nos queda 23.

Answer:

  B.  -1.5x − 3.5y = -31.5

Step-by-step explanation:

You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).

When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...

  3x -7y = constant

Negating the x-coefficient gives ...

  -3x -7y = constant

Filling in the given point values, we can find the constant:

  -3(7) -7(6) = constant = -21 -42 = -63

None of the answer choices matches this, but one does match when we divide the numbers by 2:

  -3x -7y = -63

  -1.5x -3.5y = -31.5 . . . . . . matches choice B

Answer:

y = (-3/7)x + 9

Step-by-step explanation:

IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent.  Dividing both sides by 3 yields y = (7/3)x - 21.5/3.  This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.

Thus PQ, being perpendicular to AB, has the slope -3/7.  Starting with y = mx + b, and using the coordinates of P(7, 6), we get:

6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.

Answer:

Step-by-step explanation:

The conversion factor for food energy or thermochemical calorimetry* is ...

  1 calorie = 4.184 J

  1000 calorie = 4.184 kJ

__

a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ

b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ

c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ

d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ

_____

* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Answer:

The answer is

Step-by-step explanation:

a ∆ b = a² + ab + b²

(3 ∆ 2)

a = 3 b = 2

(3 ∆ 2) = 3² +3(2) + 2²

= 9 + 5 + 4

= 9 + 9

= 18

Hope this helps you

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

Work Shown:

First we compute 3 △ 2

a △ b = a^2 + ab - b^2

3 △ 2 = 3^2 + 3*2 - 2^2 ... replace 'a' with 3, replace b with 2

3 △ 2 = 9 + 6 - 4

3 △ 2 = 15 - 4

3 △ 2 = 11

Replace the ( 3 △ 2 ) in the original expression with 11.

We now want to find 11 △ 13

a △ b = a^2 + ab - b^2

11 △ 13 = 11^2 + 11*13 - 13^2

11 △ 13 = 121 + 143 - 169

11 △ 13 = 264 - 169

11 △ 13 = 95

Answer:

Option A.

Step-by-step explanation:

there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.

Let x and y be the number of stamps of 40 cents and 55 cents respectively.

Total number of stamps is 45. So

[tex]x+y=45[/tex]

Total cost of stamps is $18.75. So

[tex]0.40x+0.55y=18.75[/tex]

But Krista wrote the system of equations as

[tex]0.40x+y=45[/tex]

[tex]x+0.55y=18.75[/tex]

Krista put 0.40 in the first equation meant for the number of stamps.

Krista did not write 0.40 in the second equation meant for the value of stamps.

Therefore, the correct option is A.

Answer:

The answer is A

Step-by-step explanation:

TOOK THE TEST!

Answer:

Step-by-step explanation:

Feel pleasure to help u...

Answer:

Breadth: 45 cm.

Area: 3,150 cm^2.

Step-by-step explanation:

The perimeter is 230. Since the length of the rectangle is 70 cm, and 70 * 2 = 140, the sum of the two breadths will be 230 - 140 = 90. That means that the breadth is 90 / 2 = 45 cm.

If the breadth is 45, and the length is 70, then the area is 45 * 70 = 3,150 cm^2.

Hope this helps!

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

Answer:

Step-by-step explanation:

area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth

Answer:

The answer is

Step-by-step explanation:

To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.

that's

For the rectangle

Area of rectangle = length × width

From the question

length = 5cm

width = 11 cm

So we have

Area of rectangle = 5cm × 11cm = 55cm²

For the circle

Area of a circle = πr²

where r is the radius

From the question

r = 12 cm

Area of circle = π (12)²

= 144π

= 452.40 cm²

Area of shaded figure

Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle

That's

452.40 cm² - 55cm²

= 397.40 cm² to the nearest hundredth

Hope this helps you