1) $38,000 at 9% compounded
monthly for 7 years

Answer: Ricardo put 8 books on each shelf.

Step-by-step explanation:

Given: Number of books = 32

Number of shelves = 4

We use division operation to divide an amount into different sections equally.

By division operation,

The number of books put on each shelf = (32) ÷ 4

i.e. The number of books put on each shelf  = 8

Therefore, Ricardo puts 8 books on each shelf.

Answer:

180%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100.

Answer:

1.8 into a percent is 180%

Answer:

No line of symmetry no angle and order of rotational symmetry

There is no line of symmetry, no angle, and order of any rotational symmetry so option (C) will be correct.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.

Given the figure and axis for symmetry

If we fold across the line of symmetry then we can see that neither party can fully cover another

Hence the given figure will not have any symmetry.

To learn more about symmetry,

https://brainly.com/question/1597409

#SPJ5

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft[/tex]

So, the height of the antenna is equal to 221.87 feet.

Answer:

x = 8

[tex]x=1\frac{2}{3}[/tex]

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

[tex]x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{841-480} }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{361} }{2(3)}[/tex]

[tex]x=\frac{29±19 }{2(3)}[/tex]

[tex]x=\frac{29±19 }{6}[/tex]

Two separate equations

[tex]x=\frac{29+19 }{6}[/tex]

[tex]x=\frac{48 }{6}[/tex]

x = 8

[tex]x=\frac{29-19 }{6}[/tex]

[tex]x=\frac{10 }{6}[/tex]

[tex]x=\frac{5 }{3}[/tex]

[tex]x=1\frac{2}{3}[/tex]

Answer:

The correct equation is 8.7 + b = 54.6

Step-by-step explanation:

because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.

Answer:

x = √17    exact answer

x ≈ 4.12    decimal approximation

Step-by-step explanation:

a² + b² = c²

x² + 8² = 9²

x² + 64 = 81

x² = 17

Take the square root of both sides

x = √17    exact answer

x ≈ 4.12    decimal approximation

Answer:

Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

Let Ron’s present age be x.  

Then Aaron’s present age = x - 5

After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.  

According to the question;  

Ron will be twice as old as Aaron.  

Therefore, x + 4 = 2(x - 5 + 4)  

⇒ x + 4 = 2(x - 1)  

⇒ x + 4 = 2x - 2

⇒ x + 4 = 2x - 2

⇒ x - 2x = -2 - 4

⇒ -x = -6

⇒ x = 6

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

i think your answer is 8.

Answer:

9*6*7=378 square inches

Step-by-step explanation:

Using the formula V=lwh you just need to substitute the given length, width, and height. So V=9 x 6 x 7

Answer:

i THINK the answer is D.

Step-by-step explanation:

cant prove it but have look it up and i think its d

Answer:

I think d

Step-by-step explanation:

so sorry if I'm wrong

Answer:

7

Step-by-step explanation:

a=2

b=2

c=1

2ab cos C=a²+b²-c²=2²+2²-1²=4+4-1=7

Answer:

C

Step-by-step explanation:

Given

a² + b² - 2abcosC = c² ( subtract c² from both sides )

a² + b² - c² - 2abcosC = 0 ( add 2abcosC to both sides )

a² + b² - c² = 2abcosC

Here a = 2, b = 2, c = 1 , then

2² + 2² - 1² = 2abcosC

4 + 4 - 1 = 2abcosC , then

2abcosC = 7 → C

Answer:

Geometric mean of 2 numbers is a square root of the product.

Given  8,10

Geometric mean = √(8*10)

=√80

= √(16*5)

= 4√5

Answer:

a1 = 4

a2 = 40

a3 = 400

a4 = 4000

Step-by-step explanation:

First substitute n with 1.

1. 4 ⋅ 10^1  - 1

4 ⋅ 10^0

4 ⋅ 1 = 4

Second substitute n with 2.

2. 4 ⋅ 10^2 - 1

4 ⋅ 10^1

4 ⋅ 10 = 40

Next substitute n with 3.

3. 4 ⋅ 10^3 - 1

4 ⋅ 10^2

4 ⋅ 100 = 400

Finally, substitute n with 4.

4. 4 ⋅ 10^4 - 1

4 ⋅ 10^3

4 ⋅ 1000 = 4000

It's simple. Just plug in 1, 2, 3, and 4 into n and solve the equation.

Answer:

5.3×10⁻¹¹ m

Step-by-step explanation:

Applying,

v = 2πr/t................ Equation 1

Where v = speed of the electron in the orbit, r = radius of the orbit, t = time, π = pie

make r the subject of the equation

r = vt/2π................ Equation 2

From the question,

Given: v = 2.2×10⁶ m/s, t = 1.5×10⁻¹⁶ s

Constant: π = 3.14

Susbtitute these values into equation 2

r = (2.2×10⁶×1.5×10⁻¹⁶)/(3.14×2)

r = (3.3×10⁻¹⁰)/6.28

r = 5.3×10⁻¹¹ m

Hence the radius of the orbit is 5.3×10⁻¹¹ m

Answer:

The radius of the orbit is: [tex]R=0.525 \AA[/tex]

Step-by-step explanation:

The period of a circular motion is the time to complete one orbit, then:

[tex]T=1.5*10^{-16}s[/tex]

Now, let's recall the tangential speed can be written as:

[tex]v=\frac{2\pi R}{T}[/tex]

R is the radius of the motion.

Let's solve the above equation for R.

[tex]R=\frac{vT}{2 \pi}[/tex]

[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]

[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]

[tex]R=5.25*10^{-11} \: m[/tex]

Therefore, the radius of the orbit is: [tex]R=0.525 \AA[/tex]

I hope it helps you!

Answer: number 1: 7/14

number 2: 16/24

Step-by-step explanation:

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

Explanation:

The volume of any block is V = L*W*H where L,W,H represents length, width and height respectively. The order of multiplication doesn't matter.

The volume of the block on top is 16*4*4 = 256 cubic feet. The "16" is from the fact we subtract the 20 ft and 4 ft.

The volume of the block underneath is 10*4*4 = 160 cubic feet

Add the two volumes to get the final answer: 256+160 = 416 cubic feet.

We can abbreviate "cubic feet" into "ft^3" without quotes.

Answer:

Step-by-step explanation:

8x-9+2+9x=180 degree(being co interior angles)

17x-7=180

17x=180+7

x=187/17

x=11 degree

Answer:

11

Step-by-step explanation:

consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.

8x-9 + 2+9x = 180

-7 + 17x = 180

-7+7     180+7 = 187

17x = 187

17x/17 = 187/17

x=11

Answer:

C. 4.53

Step-by-step explanation:

So we know that the total among these angles measure 180°

(straight lines paralleled with r and s) those lines are 180 degrees.

So subtract 180° - 116° to get rid of the other angle

180° - 116 = 64°

Then use the statement below to identify the value of y.

[tex]15y-4=64[/tex]

[tex]15y+4[/tex] = +4     It's easier if you add 4 to both sides

[tex]15y=68[/tex]          Solve for y

y = 4.53

Answer:

1a)  C = 600 + 5n

1b)  R = 6n

Step-by-step explanation:

Answer:

1.

    a) $600+5n = C

    b) 6n = R

Step-by-step explanation:

For the cost to throw the event, we have to add $100+$500, the decorations and the DJ and then we have to add the variable for people times 5 since it is 5 per person. $100+500 = $600 and 5* n (the variable for people in the question)

We are adding the two terms so the final equation will be equal to:

600+5n

for b), we have to use the variable n for tickets times the constant 6 since it costs 6 dollars per person to enter, and that will be equal to the revenue the student council earns or R.

6*n = 6n

Now we have:

6n=R

Answer:

.13 dollars/ ounce

Step-by-step explanation:

Take the prices and divide by the number of ounces

3.12 dollars/ 24 ounces

.13 dollars/ ounce

Answer:

3.12 divided by 24 will tell you how much it cost per ounce

Step-by-step explanation:

Answer:

a) The Mean Value is 3.118

b) The Average Deviation from the Mean is 0.0416

c) The true standard deviation is approximately 0.0492

d) The standard error (deviation) of the mean, SEM is approximately 0.021982

e) The percentage error is approximately 0.751%

7. Part a;

The data set 'b' is more accurate

The set 'a' is more precise

Part b;

The number of significant figures used in reporting measured values is determined by number of digits that are actually known based on the measuring methods, with the inclusion of one more digit which is an approximation

Step-by-step explanation:

a) The given values of pi are;

3.14, 3.11, 3.20, 3.06, and 3.08

The number of data points, n = 5

Therefore, we have;

The mean, [tex]\bar x[/tex] = (∑x)/n = (3.14 + 3.11 + 3.20 + 3.06 + 3.08)/5 = 3.118

b) The Average Deviation from the Mean, MAD, is given as follows;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \bar x \right |[/tex]

Therefore, we get;

[tex]MAD =\dfrac{1}{5} \times (\left |3.14 - 3.118 \right | +\left |3.11 - 3.118 \right | + \left |3.20 - 3.118 \right | + \left |3.06 - 3.118 \right | + \left |3.08 - 3.118 \right |) =0.0416[/tex]

The Average Deviation from the Mean = 0.0416

c) The true standard deviation, σ, is given as follows;

[tex]s =\sqrt{\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n}}[/tex]

From MS Excel, we have;

[tex]\sum \left (x_i-\bar x \right )^{2}[/tex]= 0.01208

∴ s = √((0.01208)/((5)) ≈ 0.0491528229 ≈ 0.0492

d) The standard error of the mean, SEM is given as follows;

SEM = s/√n

∴ SEM = 0.0491528229/√5 ≈ 0.02198181065 ≈ 0.021982

e) The percentage error = (The correct value - The mean value)/(The correct value) × 100

The given correct value = 3.14159

∴ The percentage error = ((3.14159 - 3.118)/3.14159) × 100 ≈ 0.751%

7. Part a;

The given Book value = 7.86 g/cm³

A precise data are data that are close to each other, while an accurate data has value that is close to the true value

The mean of the data set are;

Set a. μₐ = (7.72 + 7.74 + 7.73 + 7.75 + 7.74)/5 = 7.736

The difference from the true value = 7.86 - 7.736 = 0.124

Set b. [tex]\mu_b[/tex] = (7.86 + 7.90 + 7.78 + 7.93 + 7.838)/5 = 7.8616

The difference from the true value = 7.86 - 7.8616 = -0.0016

Therefore, the data set 'b' is more accurate

The precision is given as follows;

The average deviation is found using the following formula;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \mu \right |[/tex]

The average deviation of set a = ((7.736 - 7.72) + (7.74 - 7.736) + (7.75 - 7.736) +(7.736 - 7.73) + (7.74 - 7.736))/5 = 0.0088

The precision of set a = 7.736 ± 0.008

The average deviation of set b = ((7.8616 - 7.86) + (7.90 - 7.8616) + (7.8616 - 7.78) + (7.93 - 7.8616) + (7.8616 - 7.838))/5 = 0.04272

The precision of set b = 7.8616 ± 0.04272

due to the closeness (smaller average deviation) of set 'a' than 'b', the set 'a' is more precise

Part b;

What determines the number of significant figures used in reporting measured values is determined by the number of significant figures that is known with confidence and an extra approximation or estimated last digit.

Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

[tex]\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348[/tex]

Rounding, we get x = 16.35 as our answer

Answer:

n=8

Step-by-step explanation:

[tex]\frac{n+4}{2}=6[/tex]

n+4=6*2

n+4=12

n=12-4

n=8

Answer:

(0, 4)

(1, 5)

(-1, 3)

Step-by-step explanation:

the function is already in slope-intercept form (y=mx+b). B is the y intercept and mx is the slope. The equation y=x+4 means that there is a y intercept of 4 and a slope of 1. So, y intercept is when x is equal to 0 which means one of your points will be (0,4). The next point will be 1 unit up and 1 unit to the right of the point (0, 4) and the third point will be 1 unit down and 1 unit to the left of (0, 4). This gives you the points (1, 5) and (-1, 3)

Answer:

A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel

Answer:

A, B, D, E

Step-by-step explanation:

A   4 sides

В.   4 angles

D.   all right angles

E    opposites sides parallel

Answer:

820

Step-by-step explanation:

Answer:

x= 44.1

Step-by-step explanation:

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

sin theta = opp / hypotenuse

sin 27 = 20/x

x sin 27 = 20

x = 20 / sin 27

x= 44.05378529

Rounding to the nearest tenth

x= 44.1

Answer:

See below.

Step-by-step explanation:

47.) 4

48.) 3

49.) -3

50.) -4

51.) -2

52.) -3

53.) 1/5

54.) 1/10

55.) -10

56.) -5