Evaluate bh for b = 12 and h = 2. Type a numerical answer in the space provided.

Answers

Answer 1

The value of bh for b =12 and h = 2 is 24

How to evaluate the expression?

The expression is given as:

bh

Where

b = 12 and h = 2

So, we have:

bh = 12 * 2

Evaluate

bh = 24

Hence, the value of bh for b =12 and h = 2 is 24

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Related Questions

find the slope of this line

Answers

Answer:

-3

Step-by-step explanation:

Select a point on the red line that crosses the graph at a corner like point (2,2).  Start at the middle of the graph and go 2 spaces to the right on the x axis and then 2 spaces up.  Now you will be a the point (2,2).  Do you see how the right line is hitting at the top left corner of the square?  

From  this point, count how many spaces up and how many spaces to the left to get to the next spot that the red line touches a corner.  If you go up 3 spaces and left 1, you have found the next corner.  The slope is -3/1 or -3.

The slope is negative because the x and y's are going in different directions, as the x is getting bigger, the why is getting smaller, or another way of looking at it, is that I went up to the find slope and up is positive, but then I went left 1 and left is toward the negative numbers.  A positive divided by a negative is a negative, so the slope is negative.

Which of the following functions has a vertical asymptote at x=−1, a horizontal asymptote at f(x)=5, and a root at x=−3?

Answers

Answer:

Step-by-step explanation:

B :10/(x+1)  +5

An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extra-Corporeal Shock Wave Lithotrips,” (1986, Vol. 292, pp. 879–882)] found that percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. The traditional method was 78% effective.
(a) Is there evidence that the success rate for PN is greater than the historical success rate? Find the P-value.
(b) Explain how the question in part (a) could be answered with a confidence interval.

Answers

The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

According to the statement

we have given that the percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. And

The traditional method was 78% effective.

we have to show that the success rate for PN is greater than the historical success rate then

we use the percentage formula to find the success rate of the new method. So,

(a) Total patients = 350

Success rate in number of patient = 289

Percentage of success rate = (289/350)*100

Then after calculating

Percentage of success rate = 82.57%

It is clear that the outcome success rate is 82.57% which is greater than traditional method.

(b) we have a 95% confidence that the success rate of new method is higher than the older method from a confidence interval of 2.262 and 3.67

So, The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

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A ladder is 8 feet 2 inches tall. How tall is it in inches?

Answers

Answer:

The ladder is 98 inches tall in inches.

Step-by-step explanation:

1 foot = 12 inches.

⇒ 8 (feet)  × 12 (inches)  = 96 inches

⇒ Add the extra 2 inches

⇒ 98 inches tall.


For f(x) = 2x + 1 and g(x) = x² - 7, find (f+ g)(x).

Answers

Answer:

(f + g)(x) = x² + 2x - 6

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 ← in standard form

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.11 gallons. A previous study found that for an average family the standard deviation is 1.8 gallons and the mean is 16.2 gallons per day. If they are using a 98% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.

Answers

The sample size required is mathematically given as

n=1454

What is the Margin of error?

Generally, the equation for Margin of error is  mathematically given as

[tex]M=Z_{\alpha/2} > \frac{\sigma}{\sqrt{n}}[/tex]

Therefore

[tex]M= 0.11 \leq \frac{ 2.33*1.8}{\sqrt{n}}\\\\\sqrt{n} \leq 38.127[/tex]

n=1453.69.

In conclusion, The sample size required is mathematically given as

n=1454

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A boat travels 50 miles downstream in 2 hours and it takes 5 hours to travel back upstream. What is the speed of the boat if it were in still water and what is the speed of the river current?

Answers

The 50 mile distance traveled downstream and back that takes 2 hours and 5 hours respectively gives;

The speed of the boat in still water = 17.5 mph

The river current flows at 7.5 mph

How can the boat speed be calculated?

Let v represent the speed of the boat and let u represent the speed of the river current.

Distance the boat travels downstream = 50 miles

Time taken to travel downstream by the boat = 2 hours

Time taken to travel back upstream = 5 hours

[tex]velocity = \frac{distance}{time} [/tex]

Therefore;

Which gives;

[tex]v + u = \frac{50}{2} = 25...(1)[/tex]

v + u = 25

[tex]v - u = \frac{50}{5} = 10...(2)[/tex]

v - u = 10

Adding equation (1) to equation (2) gives;

(v + u) + (v - u) = 2•v = 25 + 10 = 35

2•v = 35

v = 35 ÷ 2 = 17.5

The speed of the boat, v = 17.5 mph

u = 25 - v

Which gives;

u = 25 - 17.5 = 7.5

The speed of the river current, u = 7.5 mph (downstream)

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PLS I NEED HELP
2. Write the rule for the linear function. Remember a function rule is written using f(x).

Answers

Answer:

[tex]f(x) = \frac{1}{2}x + 5[/tex]

Step-by-step explanation:

So you can generally express a linear function use the slope-intercept form as such: [tex]y=mx+b[/tex] where m=slope, and b=y-intercept.

The y-intercept is defined as the value of f(0), since when the line crosses the y-axis, the x-value is 0, and as provided in the table that value is 5, so we have the function rule: [tex]f(x) = mx+5[/tex]

The slope is defined as how much y-changes, as x increases by 1. We can generally use the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and this can be found using any two points, since the slope is constant.

We can use the two points (0, 5) and (2, 6) and plug it into the equation, to find the rise/run

[tex]\frac{6-5}{2-0} = \frac{1}{2}[/tex]

So plugging this into the slope-intercept form you get the function

[tex]f(x) = \frac{1}{2}x + 5[/tex]

Given: 3x+12=8x−18 algebraic proofs


Step Reason
3x+12=8x−18
12=5x−18
30=5x
6=x
x=6

Answers

The value of x comes out to be 6 from the algebraic equation.

Solving the Given Algebraic Equation for x:

Given algebraic equation is,

3x + 12 = 8x - 18

⇒ 12 = 8x - 3x -18

8x - 3x - 18 = 12

5x - 18 = 12

5x = 12 + 18

5x = 30

x = 30 / 5

x = 6

What is an algebraic equation?

A mathematical statement in which two expressions are put equal to one another is known as an algebraic equation. One or more variables, coefficients, and constants make up an algebraic equation in most cases. Anything on one side of the equal sign must have the exact same value on the opposite side in order for it to not be considered unequal.

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The following data depicts the relationship between the Amount spent on insurance and the amount of inventory loss.

X = Amt spent on protection

Y = Amt of inventory lost or stolen

The least squared regression line : Y = 86.43 – 38.47 X

How much will the amount of loss in inventory be if the amount of protection is $6.39? Leave your answer to 2 decimal places.

Answers

Using the given regression line, it is found that the amount of loss in inventory will be of $159.39.

What is the regression line?

The regression line is:

Y = 86.43 - 38.47X

In which:

X is the amount spent on protection.Y is the amount of inventory lost.

In this problem, we have that X = $6.39, hence:

Y = 86.43 - 38.47 x 6.39 = -$159.39.

The amount of loss in inventory will be of $159.39.

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How many three-digit positive integers have three different digits?

Answers

648 is the three-digit positive integers have three different digits

According to the statement

we have given that there are three positive digit number are formed with three distinct digits.

And we have to find that the how many words are formed with distinct numbers.

So, to solve this type of problem the Combination formula is best.

Because it provides the all possibilities that from how many ways numbers are formed.

So, from a combination formula

here we take 9 two times because first time when we let a number then remaining numbers are 9.  and second time remaining numbers are also 9 because we let the distinct number but for third number there will be a probability that choosing number will be same.

So, Three digit positive number become from 9*9*8 =648

So, 648 is the three-digit positive integers have three different digits.

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solve this equation -1/2 ( -3y + 10)

Answers

Answer:

3/2y-5

Step-by-step explanation:

The person above me’s answer is correct

Let m = X^2 + 3.
What is (x^2+3)^2+7x^2+21=-10 in terms of m?

OR

Let m=x^2+3m=x
2
+3m, equals, x, squared, plus, 3.
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10(x
2
+3)
2
+7x
2
+21=−10left parenthesis, x, squared, plus, 3, right parenthesis, squared, plus, 7, x, squared, plus, 21, equals, minus, 10 in terms of mmm ?

Answers

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

            and m= X^2 + 3.

make the given equation in the form X^2 + 3,

             now,

                     (x^2+3)^2+7x^2+21=-10

                     (x^2+3)^2+7(x^2+3)=-10

             where,

                      X^2 + 3= m

              after putting the value or replacing the values

             we get, m^2+7m=-10

                      m^2+7m+10=0

          the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

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Answer:

m^2+7m+10=0

Step-by-step explanation:

Give brainly lol


Which number line represents the solutions to |x + 4| = 2?

Answers

Answer: Option 1

Step-by-step explanation:

[tex]|x+4|=2\\\\x+4=\pm 2\\\\x=-4\pm 2\\\\x=-6, -2[/tex]

Solve Absolute Value.

| x + 4 | = 2

We know either x + 4 = 2 or x + 4 = −2

                                                                                                                                 

x + 4 = 2 (Possibility 1)

x + 4 - 4 = 2 - 4 (Subtract 4 from both sides)

x = -2

                                                                                                                                 

x + 4 = −2 (Possibility 2)

x + 4 - 4 = - 2 - 4 (Subtract 4 from both sides)

x = -6

Answer: x = - 2 or x = -6

Therefore we conclude that the solution of the exercise | x + 4 | = 2, is the first number line, since both results are negative.

A city mayor in Michigan is planning the number of new snow plows he must purchase to remove the snow next winter. The
average snowfall in the past 10 years has been normally distributed with a mean of 112 inches and a standard deviation of
14 inches. What amount, in inches, separates the lowest 20% of the means of yearly snowfall in the past 10 years from the
highest 80%?

Answers

The amount that separates the lowest 20% of the means of yearly snowfall in the past 10 years from the highest 80% is 23.57 inches.

Given mean of 112 inches, standard deviation of 14 inches.

We are required to find the amount that separates the lowest 20% ofthe means of yearly snowfall in the past 10 years from the highest 80%.

a) Bottom 20% would have a z score of -0.8416.

b) Top 80% would have a z score of 0.842.

Use the z formula to find the raw score.

z=(X-m)/sd

X=the raw score

m= mean

sd=standard deviation

Putting the value of low score.

-0.8416=(X-112)/14

X=-11.7824+112

=100.2176

Putting the values of high score.

0.842=(X-112)/14

X=123.788

The amount that seprates the lowest from highest is 123.788-100.2176

=23.57 inches.

Hence the amount that separates the lowest 20% of the means of yearly snowfall in the past 10 years from the highest 80% is 23.57 inches.

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Which point is a solution to the system?

Answers

Answer:

C. (2;9)

Step-by-step explanation:

for more details see the attachment.

In the binomial probability distribution​ function, nCx represents the number of ways of obtaining x successes in n trials. True or False?

Answers

In the binomial distribution​ for probability function, [tex]_{n}C_{x}[/tex] represents the number of ways of obtaining x successes in n trials: True

What is binomial distribution?

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

The underlying assumptions of the binomial distribution are that each trial has exactly one possible outcome, that each trial has the same success chance, and that each trial is either independent of or mutually exclusive with every other trial.

As opposed to a continuous distribution, like the normal distribution, the binomial distribution is a frequent discrete distribution used in statistics.

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Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y ≤ x2 – 3
y > –x2 + 2

Answers

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)

How to modify the graphs

The complete question is in the attached image (the first graph)

From the graph, we have:

f(x) = x^2 - 3 and g(x) = -x^2 + 2

To derive y ≤  x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.

To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than

How to identify the solution set

The inequalities of the graphs become

y ≤ x^2 - 3 and y > -x^2 + 2

From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)

Hence, the solution of the set of inequalities is (±1.581, -0.5)

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Nicky opened a savings account with a single deposit of R1 000 on 1 April 2011. She
then makes 18 inonthly deposits of R700 at the end of every month. Her first payment
is made on 30 April 2011 and her last payment on 30 September 2012. The account
earns interest at 15% per annum compounded monthly.
Determine the amount that should be in her savings account inmediately after her last
deposit is made (that is on 30 September 2012).​

Answers

The amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.

What is the future value?

The future value refers to the compounded value (at an interest rate) of the present value, including the periodic cash investments, over a period.

The future value can be determined using either the future value formula, future value table, or an online finance calculator, as below.

Data and Caluclations:

N (# of periods) = 18 months

I/Y (Interest per year) = 15%

PV (Present Value) = R1,000

PMT (Periodic Payment) = R 700

Results

FV = R15,282.91 (R12,600 + R1,000 + R1,682.91)

Sum of all periodic payments = R12,600 (R700 x 18)

Total Interest = R1,682.91

Thus, the amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.

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What is the Pythagorean theorem

Answers

Answer:

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Pythagoras Theorem Equation

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Answer:

The Pythagoras theorem states that:The sum of the squares on the edges of a right triangle angle is equal to the squareon the hypotenuse.

Mathematically stated as: a² +b² = c²

Hope this helps.Good luck ✅.

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?Answer the questions to show how to write and simplify expressions that represent the problem

4. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?

Answers

Answer:

$4.50

Step-by-step explanation:

Okay so, first add both.

50+40 is 90, then multiply 90 by the tax percent which is

90x5%=4.5

If expression then,

x=money that they have to pay.

5%(50+40)=x    (the original)

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Simplify the problem

Answers

Answer:

B. 2√3+4

Step-by-step explanation:

3√3+4−√3

=2√3+4 (Decimal: 7.464102)

Prove: An odd plus an odd
equals an even.
(2m + 1) + (2n + 1) = [ ? ]m + [ ]n + [ ]
= 2(m+n+ [])
= even

Answers

[tex](2m+1)+(2n+1)=2m+2n+2\\\\=2(m+n+1)[/tex]

If f(x) = 3x +3, which of the following is the inverse of
f(x)?

Answers

Answer: [tex]f^{-1}(x)=\frac{x-3}{3}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x[/tex]

[tex]x=3y+3\\\\x-3=3y\\\\y=\frac{x-3}{3}\\\\\therefore f^{-1}(x)=\frac{x-3}{3}[/tex]

A metallurgist has one alloy containing 30% copper and another containing 62% copper. How many pounds of each alloy must be used to make 50 pounds of a third alloy containing 32% copper?

Answers

The metallurgist would need 46.875 lb of an alloy containing 30 % copper and 3.125 lb of an alloy containing 62 % copper to produce 50 lb of a third alloy.

How to estimate proportions of ingredients for an alloy by weighted averages

In this question we must prepare a third alloy by using correct quantity of two alloys with different copper concentrations. Required weights can be determined by applying concept of weighted average:

(32/100) · (50 lb) = (30/100) · x + (62/100) · (50 - x)

32 · 50 = 30 · x + 62 · (50 - x)

32 · 50 = 30 · x + 62 · 50 - 62 · x

32 · x = 30 · 50

x = 46.875

The metallurgist would need 46.875 lb of an alloy containing 30 % copper and 3.125 lb of an alloy containing 62 % copper to produce 50 lb of a third alloy.

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What is the simple interest rate on a $2100 investment paying $1,559.46 interest in 15.8 years?

Answers

The simple interest rate is 4.7%

How to determine the simple interest rate?

The given parameters are:

Principal = $2100

Interest = $1,559.46

Time = 15.8 years

The simple interest is calculated as:

I = PRT

Make R the subject

R = I/(PT)

So, we have:

R = 1559.46/(2100 * 15.8)

Evaluate

R = 0.047

Express as percentage

R = 4.7%

Hence, the simple interest rate is 4.7%

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A preimage can never be congruent to Which of the following is the notation for a translation that moves a figure 2 units right and 2 units up?

(x, y) → (2x, 2x)

(x, y) → (x − 2, y − 2)

(x, y) →

(x, y) → (x + 2, y + 2)its image.

Answers

The notation for the translation is (x, y) → (x + 2, y + 2)

How to determine the translation?

The translations are given as:

2 units right2 units up

The above implies that we add 2 to the x coordinate and 2 to the y coordinate.

So, we have:

(x, y) → (x + 2, y + 2)

Hence, the notation for the translation is (x, y) → (x + 2, y + 2)

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3
Seven students cut 5 inches of thread from a spool for a school project. What number represents the change in the
amount of the thread on the spool?
O-40 inches
3
O-35 inches
-29 inches
-26 inches

Answers

Answer:

35 inches

Step-by-step explanation:

7 x 5 = 35 lol

The number which represents a change in the amount of thread on the spool exists 35 inches.

What are mathematical operations?

In mathematics, an operation exists as a process that takes zero or more input values to a well-defined output value.

Given: Length of thread a student cuts = 5 inches

Total number of students that cut thread = 7

Length of thread a student cuts = 5 inches

Length of thread 7 student cuts = 5 [tex]*[/tex] 7 = 35 inches

The negative length that 7 students cut from the spool exists the number that represents a change in the amount of thread.

The number which represents a change in the amount of thread on the spool exists 35 inches.

Therefore, the correct is option b) 35 inches.

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Hellp please i need this super fast please

Answers

The surface area of the cone is 282.6 square centimeters.

How to get the surface area?

For a cone of radius R and height H, the surface area is given by:

[tex]A = pi*R^2 + pi*R*\sqrt{R^2 + H^2}[/tex]

Where pi = 3.14

In this case, we have:

R = 10cm/2 = 5cmH = 12 cm

[tex]A = 3.14*(5cm)^2 + 3.14*5cm*\sqrt{(5cm)^2 + (12cm)^2} = 282.6 cm^2[/tex]

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16) Write the scientific notation.
5.5 billion

Answers

10^9x5.5
So basically it’s like your just adding the zeros at the end except this preference as opposed to seeing all those zeros so scientists chose this method .
Other Questions
3) write an essay about the following prompt:Throughout the novel, O'Brien presents an essential paradox about war: it is horrible and it isbeautiful. Trace some of the ways O'Brien and the other characters experience thecontradictions of war -- both its horror and its beauty. lemons death, chemo girl planetary orbits in our solar system are: very eccentric (stretched-out) ellipses and in the same plane. fairly circular and in the same plane. fairly circular but oriented in every direction. how could you tell which of the solutions that were able to buffer well against added acid has the greatest buffering capacity against acid? situations where it is unclear exactly where responsibility for something lies reflects which of the following factors why organizations have conflict? how do air mass conditions ahead of the squasll line support the development of new ccells FILL IN THE BLANK. during any given year, approximately ______ of the american population experiences a diagnosable mental illness. how do you calculate calculate the molarity of 90.0 ml of a solution that is 0.92 y mass nacl. This is Vapor pressure and Heat of vaporization of liquids experiment from physical chemistry.What would the ln P versus 1/T plot look like if (a) not all the dissolved air had been removed in the beginning of the experiment and (b) some air entered the same bulb as the system was cooling? what would be the effect of these problems on the value of the heat of vaporization obtained? consider a passive rc low-pass filter created by combining a 1 k resistor and a 50 nf capacitor. determine the 3-db frequency in khz. Type in your answer correct up to one decimal place. the traditional american distrust of diplomacy has resulted in which situation? major league baseball teams have signed many central and latin americans to contract because these players During the great depression, economists developed new ways of thinking about markets, prices, and the economy as a whole because: the work function of a metallic plate is 1.92 ev. determine the maximum kinetic energy of the photoelectrons that could be emitted if a light of wavelength = 458.00 nm strikes the plate's surface. determine the density of air at 22 c and 760 torr. the molar mass of air is 28.9 g/mol . assume ideal behavior. how that any permutation is a product of transpositions, that is, any arrangement of n things may be achieved by repeated swaps. .A small car might have a mass of around 1000 kg and a coefficient of static friction of about 0.9.- What is the largest possible force that static friction can exert on this car? (in N)- What is the smallest possible force that static friction can exert on this car?- Describe situations when each of the above cases would occur. state which of the following matrices are equal What is the result when the number 32 is increased by 25%? now, g(x) = x 7 , g'(x) = 1 7 . define f(g(x)) = csc2 x 7 , such that f(x) = csc2. Rewrite the given integral in terms of g(x), where F(g(x)) is the antiderivative of f(g(x)). Please help !roning a drowsy syncopated tune,rocking back and forth to a mellow croon,i heard a negro play.down on lenox avenue the other nightby the pale dull pallor of an old gas lighthe did a lazy sway ....he did a lazy sway ....to the tune o' those weary blues.with his ebony hands on each ivory keyhe made that poor piano moan with melody.o blues!what does the word weary mean in the context of the poem?a sad and negative feelingsb physically needing more sleepc showing signs of wear and teartired of hardship and oppressiond tired of hardship and oppressionwill give brainliest