Solve the equation,
3(b + 3) - 4(-2+b) = 19

Therefore, the volume of a single Rh atom is approximately 1.011 × 10^(-29) m^3.

The diameter of a single Rh atom is given as 2.7 × 10^(-8) cm. The radius of the atom, which is half of the diameter, is therefore:

r = 2.7 × 10^(-8) cm / 2 = 1.35 × 10^(-8) cm

To find the volume of the sphere, we can use the formula:

V = (4/3)πr^3

where π is the constant pi.

Substituting the values, we get:

V = (4/3)π(1.35 × 10^(-8) cm)^3

= 1.011 × 10^(-23) cm^3

However, the answer is required in m^3, so we need to convert cm^3 to m^3. We know that:

1 cm = 0.01 m

Therefore:

(1 cm)^3 = (0.01 m)^3

1 cm^3 = 1 × 10^(-6) m^3

Substituting this conversion factor, we get:

V = 1.011 × 10^(-23) cm^3 × 1 × 10^(-6) m^3/cm^3

= 1.011 × 10^(-29) m^3

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Answer:

∠P ≅ ∠H     ∠PO ≅ ∠HA

∠O ≅ ∠A     ∠OM ≅ ∠AT

∠M ≅ ∠T     ∠PM ≅ ∠HT

angle P is congruent to angle H.

angle O is congruent to angle A.

angle M is congruent to angle T.

angle PO is congruent to angle HA.

angle OM is congruent to angle AT.

angle PM is congruent to angle HT.

Answer:

y= 2x - 19/3

Step-by-step explanation:

6x-3y=19

3y=6x-19

y=2x- 19/3

slope: 2

y-intercept: -19/3

Answer:

(x+4)(x-3) or A

Step-by-step explanation:

I'm going to assume that you meant to write x² and not x2

which means we have

x²+x-12

and we need to factor this

to do this we need two numbers that add up to 1 (b) but mulitply to -12 (a*c)

our two numbers are

4, -3

Which means the answer is

(x+4)(x-3)

\({ \large{ \bf{f(x) = x {}^{2} + x - 12}}}\)

\({ \large{ \bf{zeros = \dfrac{ - b± \sqrt{b {}^{2} - 4ac } }{2a} }}}\)

\({ \large{ \bf{zeros = \dfrac{ - 1± \sqrt{1 {}^{} + 48 } }{2} }}}\)

\({ \large{ \bf{zeros = \dfrac{ -1± 7 }{2} }}}\)

\({ \large{ \bf{➢ \: \: zeros = - 4 \: \: and \: 3 }}} \: \: \: \: \: \: (ans)\)

Answer:

No graphs????????????

Step-by-step explanation:

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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you know he made 5 deliveries for $16 each.  5*16=80.  So to find his salary you have 215-80=$135.

So he makes $135 no matter what plus $16 times the number of deliveries.

so, S=16d+135

The slope of a line perpendicular to  y=-4x + 16 is (1/4), so the correct option is the first one (counting from the top).

The general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Let's say that we have another line:

y = c*x + d

These two lines are perpendicular if and only if the slope of one of the lines is equal to the inverse of the opposite of the other line.

So, the two lines:

y = a*x + b

y = c*x + d

Are perpendicular only if c = -(1/a).

Now, we want to find a line perpendicular to:

y=-4x + 16

Then the slope of that perpendicular line must be:

-(1/-4) = (1/4)

So the slope of a line perpendicular to  y=-4x + 16 is (1/4).

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Answer:

1:b, 2:c, 3:a, 4:d

Step-by-step explanation:

Answer:

18 multiplied by 2/9 = 4

Step-by-step explanation:

To determine the number of almonds that Pete grabbed, you have to multiply how much of the nuts were almonds by the total number of nuts that he grabbed. So,

   2/9 × 18

= 0.2222 × 18

= 4

Pete grabbed 4 almonds out of the 18 mixed nuts that he grabbed.

Hope that helps.

Answer:

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Step-by-step explanation:

Hey there!

1.no Ans:

The equation of a st.line passing through point (3,0) is;

(y-0) = m1(x-3)........(i)

Another equation is,

y = 2/3x+1...........(ii)

Comparing the equation (ii) with y= mx+c. We get;

Slope (m2)= 2/3

As they are parallel lines, m1=m2.

So, putting value of m1 in equation (i).

\(y = \frac{2}{3} (x - 3)\)

\(y = \frac{2}{3} x - 3 \times \frac{2}{3} \)

Therefore the required equation is; y = 2/3x -2.

2.Ans:

The equation of a st.line passing through (4,1) is;

(y-1) = m1(x-4)...........(i)

y = -1/2x +2...............(ii)

From equation (ii)

y = -1/2x+2

Comparing the equation with y = mx+c

Slope (m2)= -1/2

As they are equal m1=m2= -1/2

Putting value of slope in equation (i)

\((y - 1) = \frac{ - 1}{2} (x + 2)\)

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

\(2y - 2 = - x - 2\)

\(x + 2y = 0\)

Therefore the required equation is; x+2y=0.

3. no. Ans:

The equation of a st.line passing through point (-1,-1) is ;

(y+1)= m1(x+1)..........(i)

y= -2x-4.....................(ii)

From equation (ii)

Comparing the equation with y = mx+c.

Slope(m2)= -2

As they are parallel lines, m1=m2 = -2.

Putting value of slope in equation (i)

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

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

\(2x + y + 3 = 0\)

Therefore the required equation is 2x+y+3=0.

4.no Ans:

The equation of a st.line passing through (-4,-5) is;

(y+5) = m1(x+4)..........(i)

y = -2x-5...............(ii)

From equation (ii)

Comparing the equation with y = mx+c, we get;

Slope (m2)= -2

As they are parallel lines, m1=m2= -2

Putting value of slope in equation (i)

\((y + 5) = - 2(x + 4)\)

\(y + 5 = - 2x - 8\)

\(2x + y + 13 = 0\)

Therefore the required equation is 2x+y+13=0.

5.no Ans:

The equation of a st.line passing through (-4,3) is:

(y-3)= m1(x+4).........(i)

y = 1/2x-3.......(ii)

From equation (ii)

Comparing the equation with y= mx+c.

Slope (m2) = 1/2

As they are parallel lines, m1=m2 = 1/2.

Putting value of slope in equation (i)

\((y - 3) = \frac{1}{2} (x + 4)\)

\(2(y - 3) = x + 4\)

\(2y - 6 = x + 4\)

\(x - 2y + 10 = 0\)

Therefore the required equation is; x-2y+10=0.

6.no. Ans;

The equation of a st.line passing through (5,-5) is;

(y+5)= m1(x-5)............(i)

y = -3/2x+2......(ii)

Comparing the equation (ii) with y = mx+c.

Slope(m2)= -3/2.

As they are parallel lines, m1=m2= -3/2.

Putting value of slope in equation (i)

\((y + 5) = \frac{ - 3}{2} (x - 5)\)

\(2(y + 5) = - 3(x - 5)\)

\(2y + 10 = - 3x + 15\)

\(3x + 2y - 5 = 0\)

Therefore the required equation is; 3x+2y-5=0.

Hope it helps...

The profit percentage of the cupboard is 25%.

The cost price (CP) of the cupboard is Rs.2000 and the selling price (SP) is Rs.2500.

The money that remains after paying your business expenses is your profit. Gross profit, operating profit, and net profit are the three primary types of profit.

To calculate the profit or loss percentage, we can use the following formula.

Profit or loss percentage = (Profit or loss / Cost price) x 100

where profit or loss is calculated as the difference between the selling price and cost price.

In this case, the profit is:

Profit = Selling price - Cost price = Rs.2500 - Rs.2000 = Rs.500

Therefore, the profit percentage is:

Profit percentage = (Profit / Cost price) x 100

= (500 / 2000) x 100

= 25%

So, the profit percentage is 25%.

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Note the full question is

A  cupboard was bought for Rs.2000 and sold for Rs. 2500. Find the profit or loss percent.

On solving the provided question, we can say that the probability of guessing the sequence 2^99 possible combinations.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

As soon as you realize there are more heads than tails, you realize you require at least 50 of them, and you ask 100 people to select 50 locations for them to go.

Considering that you have 250 options for the remaining coins, there are a total of (100 pick 50) + 250 combinations that are feasible.

There are 299 potential options if you simply inquire as to whether the first coin will land on heads.

Asking whether there are more heads than tails is preferable because, according to Wolfram Alpha, 299 is larger than (100 pick 50) + 250.

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Using linear functions, it is found that both people are paid the same.

A linear function is modeled by:

y = mx + b

In which:

For Bob, we have that that the intercept is of 30000, with a slope of $600, hence his salary after x years is given by:

B(x) = 30,000 + 600x.

For Sue, we have that that the intercept is of 2 x 15000 = 30000, which is the fixed yearly salary with a slope of 2 x 300 = $600, hence her salary after x years is given by:

S(x) = 30,000 + 600x.

The salaries are equal, that is, both people are paid the same.

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Answer:

The perimeter is the sum of the lengths of all the sides of a polygon. Thus, the perimeter of this quadrilateral is:

(10a-6) + (7a+4) + (7a+4) + (10a-6)

Simplifying the expression:

= 34a - 4

Therefore, the perimeter of the quadrilateral is 34a - 4.

Answer:

Step-by-step explanation:

|x-a|≤b

-b≤x-a≤b

add a

a-b≤x≤a+b

put a-b=-8

a+b=-4

add

2a=-12

a=-12/2=-6

-6+b=-4

b=-4+6=2

so |x+6|≤2

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

Thorough put is the amount of goods or services that are produced by a system, unit, or organization over a period.

To calculate thorough put, one must divide the total quantity of output by the time taken to generate the output.

Let's see the given problem below: A work system has five separate stations that have process times of \( 5,9,4,9 \), and 8 .

What is the thorough put? To begin with, we'll need to calculate the total processing time.

The processing times are: 5, 9, 4, 9, and 8. Summing these values up, we get 35.

Next, we'll divide the total processing time by the number of stations to get the average processing time.35 / 5 = 7

Finally, we will calculate the throughput as the reciprocal of the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

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Answer:

2√21

Step-by-step explanation:

let the sides of bigger triangle be a, b and d.

then,

a²= b² + d² [ by Pythagoras theorem]

13² = 9² + d²

d² = 13² - 9²

d²= 169 - 81

d² = 88

d = √88

Now, the sides of smaller triangle are c, x, and d

by Pythagoras theorem,

d² = c²+x²

(√88)² = 2² + x²

88 - 4 = x²

x² = 84

x = √84

x= 2x2x3x7

x = 2√21

Therefore, the value of x is 2√21

Hope it's helpful..

Answer:

20km

Step-by-step explanation:

we need to find c, which is the hypotenuse of the right triangle.

we know the lengths of the legs, which are given as 16km and 12km

you might notice that 16km and 12km can both be divided by 4, which will then give is 4 and 3.

3,4,5 is a pythagorean triple-(the sums of the squares of 3 and 4 is equal to the square of 5).

The triple can be proved:

3²+4²=5²

9+16=25

25=25

that means the lengths of the triangle is a multiple of the triple 3, 4, and 5

so that means that c is 5*something

since 12 and 16 are 3*4 and 4*4 respectively, that means that c must be 5*4=20km

Hope this helps!

1. Divide the amount needed by the weight:

0.5 milligram / 50 pounds = 0.01 milligram per pound.

2. m = 0.01w

3. m = 0.01(10)

4 m = 0.01 x 10

0.1 milligrams

The error was step 1.

Answer:

Step 3

Step-by-step explanation:

They put the 10 in the wrong place.

Answer:

The number of people that attended the performance = 2,254

Amount collected at box office = $45,080

Step-by-step explanation:

For the theater to sell out a performance, it means it was filled to the brim( completely filled)

We have 7 sections, with 23 rows each

The total number of rows will be 23 * 7 = 161 rows

Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats

Secondly we want to know how much was collected at the box office given the average ticket price

The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080

Answer 1 inch per hour

Step-by-step explanation:

Answer:

1 inch per hour

Step-by-step explanation:

Let x represent inches burned per hour

The equation to finding the rate of the candle burning:

3x=3

For those who dont know, whenever you have a variable with a term, its basically multiplying, and we want to do the opposite to get x by itself, so we divide

x=3/3

Which can be simplified as:

x=1

Where x is the inches burned per hour, which equal 1

The total area under the curve for x ≥ 6 is 449/4500.

The area under the curve y = 2x-3 from x = 6 to x = t and its evaluation at t = 10 and t = 100The area under the curve y = 2x-3 from x = 6 to x = t can be calculated as follows:

We know that the area of the region under the curve f(x) between x = a and x = b is given by \(A = ∫abf(x)dx\)

Since the given function is y = 2x-3, we can write it as y = 2x^(-3) by applying the power rule.

Hence,A = \(∫62x^(-3)dx = [-2x^(-2)]6t = -2/t^2 + 2/36\)We need to evaluate this area for t = 10 and t = 100, so we get\(A = -2/10^2 + 2/36 = -1/25 + 1/18 = 7/450andA = -2/100^2 + 2/36 = -1/5000 + 1/18 = 449/4500\)Total area under this curve for x ≥ 6

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Answer:

the square, the weird orange shape, and the rectangle

Step-by-step explanation:

squares and rectangles have to have 4 right angle to make it that shape.

the weird orange shape has one right angle.

The Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

The area of Rectangle is length times of width.

A rectangle with four sides of equal length is a square.

A right angle is an angle that is exactly equal to 90 degrees  in measure.

According to question, we have to find which shapes have at least 1 right angle.

In the given figure, we can see that the pink square, green Rectangle, and the orange figure have at least 1 right angle or have  degree in them.

Hence, we can conclude that the Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

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