please Factorize 4a^+38a-20​

Answers

Answer 1
Sure, I can help you factorize 4a^2 + 38a - 20.

First, we need to find two numbers whose product is -80 (the product of the first and last coefficient) and whose sum is 38 (the coefficient of 'a' in the middle). We can try to think of factors of -80 and test their sums:

- -8, 10: -8 x 10 = -80, -8 + 10 = 2 (not what we need)
- 4, -20: 4 x (-20) = -80, 4 + (-20) = -16 (not what we need)
- -2, 40: -2 x 40 = -80, -2 + 40 = 38 (these are the numbers we need!)

Now that we have the two numbers, we can split 38a into -2a + 40a and use them to factorize the expression:

4a^2 - 2a + 40a - 20

2a(2a - 1) + 20(2a - 1)

(2a + 20)(2a - 1)

Simplifying the expression, we get:

(2a + 20)(2a - 1) = 2(10 + a)(2a - 1)

Therefore, the factorized form of 4a^2 + 38a - 20 is 2(10 + a)(2a - 1).


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Related Questions

A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars. a random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. test the hospital recruiting company's claim using a 5% level of significance.

Answers

To test the hospital recruiting company's claim, we can use a one-sample t-test with a null hypothesis that the population mean salary is equal to $86,000 and an alternative hypothesis that the population mean salary is greater than $86,000.

Using the given sample of 26 doctors' salaries, we can calculate the sample mean and standard deviation. The sample mean is $91,000 and the sample standard deviation is $12,000.

Next, we need to calculate the t-statistic using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get:

t = ($91,000 - $86,000) / ($12,000 / sqrt(26))
t = 2.34

Using a t-table with 25 degrees of freedom (26-1), we can find the critical value for a one-tailed test at a 5% level of significance. The critical value is 1.711.

Since our calculated t-value of 2.34 is greater than the critical value of 1.711, we reject the null hypothesis and conclude that there is evidence to support the claim that the average doctor's salary is significantly more than $86,000 at a 5% level of significance.

Therefore, the hospital recruiting company's claim is supported by the given sample data.

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If P(A) = 0.2,P(B) = 0.3, and P(A and B) = 0.1, find P(A or B). P(A or B) =

Answers

we know that

P (A or B) = P(A) + P(B) -P (A and B)

putting values we get

P (A or B) = 0.2 + 0.3 - 0.1

P (A or B)= 0.4

hence the ans. = 0.4

we can use the following formula:

P(A or B) = P(A) + P(B) - P(A and B)

we can substitute into this formula:

P(A or B) = 0.2 + 0.3 - 0.1
P(A or B) = 0.4

Therefore, the probability of A or B is 0.4 or 40%.

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)f(x) = 4/(1+x), a = 2Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)f(x) = 3xe^x, a = 0

Answers

For f(x) = 4/(1+x), a = 2, the Taylor series is given by:

f(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + (f'''(a)/3!)(x-a)^3 + ...

We first need to find the derivatives of f(x):

f(x) = 4/(1+x)
f'(x) = -4/(1+x)^2
f''(x) = 8/(1+x)^3
f'''(x) = -48/(1+x)^4
f''''(x) = 384/(1+x)^5

Now, we can evaluate the Taylor series at x = 2:

f(2) = 4/(1+2) = 4/3
f'(2) = -4/(1+2)^2 = -4/9
f''(2) = 8/(1+2)^3 = 8/27
f'''(2) = -48/(1+2)^4 = -16/81

Substituting these values into the Taylor series, we get:

f(x) = 4/3 - 4/9(x-2) + 8/27(x-2)^2 - 16/81(x-2)^3 + ...

Therefore, the first four nonzero terms of the Taylor series for f(x) centered at a = 2 are:

4/3, -4/9(x-2), 8/27(x-2)^2, -16/81(x-2)^3

For f(x) = 3xe^x, a = 0, the Taylor series is given by:

f(x) = f(a) + f'(a)x + (f''(a)/2!)x^2 + (f'''(a)/3!)x^3 + ...

We first need to find the derivatives of f(x):

f(x) = 3xe^x
f'(x) = 3e^x + 3xe^x
f''(x) = 6e^x + 3xe^x
f'''(x) = 9e^x + 3xe^x
f''''(x) = 12e^x + 3xe^x

Now, we can evaluate the Taylor series at a = 0:

f(0) = 0
f'(0) = 3
f''(0) = 6
f'''(0) = 9

Substituting these values into the Taylor series, we get:

f(x) = 3x + 3x^2 + 3x^3 + 9/2x^4 + ...

Therefore, the first four nonzero terms of the Taylor series for f(x) centered at a = 0 are:

3x, 3x^2, 3x^3, 9/2x^4

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Given vector � = < − 5 , − 3 > , v=⟨−5,−3⟩, find 2 � . 2v.

Answers

The vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩ we get by multiplying

To find 2v, we simply need to multiply each component of the vector v by 2:

2v = 2⟨-5, -3⟩

Multiply 2 with the vector v

= ⟨2(-5), 2(-3)⟩

= ⟨-10, -6⟩

Therefore, the vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩

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From his home, Rudy would have to walk due north to get to his friend Javier's house and
due east to get to his friend Steve's house. It is 1 mile from Rudy's house to Steve's house
and a straight-line distance of 3 miles from Javier's house to Steve's house. How far is Rudy's
house from Javier's house? If necessary, round to the nearest tenth.
miles

Answers

Answer:

Rudy's house is approximately 2.8 miles away from Javier's house.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let x be the distance from Rudy's house to Javier's house. Then, we can set up the following equations based on the given information:

x^2 + 1^2 = 3^2 (using the distance between Javier's and Steve's houses)

x^2 = 9 - 1

x^2 = 8

x ≈ 2.8

Therefore, Rudy's house is approximately 2.8 miles away from Javier's house.

We can use the Pythagorean theorem to solve this problem. Let x be the distance from Rudy's house to Javier's house. Then, the distance from Steve's house to Javier's house is √(3^2 - 1^2) = √8 miles.

Now we can apply the Pythagorean theorem to find the distance from Rudy's house to Javier's house:

x^2 + (√8)^2 = (3 miles)^2

x^2 + 8 = 9

x^2 = 1

x = 1 mile (rounded to the nearest tenth).

Therefore, Rudy's house is 1 mile away from Javier's house.

Situation:
You invest $200 in an account that pays
an interest rate of 6.5%, compounded
continuously.
A = Pert
P= amount of money invested
r= interest rate percentage in decimal for
Calculate the balance of your account after 20
years. Round your answer to the nearest
hundredth.
Enter the correct answer.
?
DONE

Answers

The balance of the account after 20 years with continuous compounding interest is $733.86.

What is the balance of the account after 20 years?

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

Principal P = $200Compounded contiouslyTime t = 20 yearsInterest rate r = 6.5%Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 6.5/100

r = 0.065

Plugging in the given values, we get:

A = P × e^(rt)
A = $200 × e^( 0.065 × 20)

A = $733.86

Therefore, the accrued amount after 20 years is $733.86.

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A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?

42 in2
52 in2
104 in2
128 in2

Answers

The area of the painted face of the brick is 104 square inches units

What is the area of the painted face of the brick?

The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11)

The distance between the coordinates are

√[(-4 + 4)^2 + (2 + 11)^2] = 13

√[(-4 - 4)^2 + (-11 + 11)^2] = 8

So, we have

Area = 13 * 8

Area = 104

Hence, the area is 104 square inches units

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Answer: The answer is C

Step-by-step explanation:

Solve for Quadratic Equations
10x2 + 20x− 71 = 9

Answers

Answer:

x=2 or x=-4. You can also write it as x=2,-4

Step-by-step explanation:

Write your equation and start by subtracting 9 from both sides

10x^2+20x-71-9=9-9

You should end up with

10x^2+20x-80=0

For this equation: a=10, b=20, c=-80

Now we use the quadratic formula and substitute the information. I have attached a picture for you.

Graph the line whose y-intercept is 8 and whose x-intercept is -7.
10.

Answers

Answer:

y=(8/7)x+8

Step-by-step explanation:

calculate the slope: rise over run, 8/7 and add the y intercept of 8.

Is it possible for a process to pass through 2nd or 4th quarter/quadrant? Why or not? Alternatively, what is the effect of a negative value of the polytropic index, 'n' ?

Answers

Yes, it is possible for a process to pass through the 2nd or 4th quadrant. The 2nd quadrant is characterized by negative values of work done and positive values of heat added.

This could happen in a scenario where a gas is compressed at a constant temperature, which results in negative work done, but heat is added to the gas to maintain its temperature. The 4th quadrant is characterized by negative values of both work done and heat added. This could happen in a scenario where a gas is expanded at a constant temperature, which results in negative work done and no heat is added or removed from the gas.

As for the effect of a negative value of the polytropic index 'n', it indicates that the process is non-adiabatic and not reversible. A negative value of 'n' means that the process is not able to maintain constant heat transfer or constant entropy. This could result in energy losses and a decrease in the efficiency of the process. It could also indicate that the process is not in equilibrium and is being driven by external forces. Overall, a negative value of 'n' can have negative effects on the performance and stability of a process.

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one tenth of a number decreased by four is eight

Answers

The awnesr is

= 120

10(8+4)

In which of the following situations can you approximate the sampling distribution with the given values of p and n by using a normal distribution? Op = 24 and n = 30 Op = .90 and n = 32 O More than one of the above Op = .08 and n = 50 O p = .70 and n=9

Answers

The situation where we can approximate the sampling distribution with a normal distribution is Op = .90 and n = 32.

In order to approximate the sampling distribution with a normal distribution, both of the following conditions must be satisfied:

The sample size n must be large enough (typically, n >= 30).

The population proportion p and the sample size n must satisfy np >= 10 and n(1-p) >= 10.

Let's check these conditions for each of the given situations:

Op = 24 and n = 30: Since np = 24*30/100 = 7.2 < 10 and n(1-p) = 22.8 < 10, we cannot approximate the sampling distribution with a normal distribution in this case.

Op = .90 and n = 32: Since np = 28.8 >= 10 and n(1-p) = 3.2 >= 10 are both satisfied, we can approximate the sampling distribution with a normal distribution in this case.

Op = .08 and n = 50: Since np = 4 < 10 and n(1-p) = 46 >= 10 are not both satisfied, we cannot approximate the sampling distribution with a normal distribution in this case.

Op = .70 and n=9: Since np = 6.3 >= 10 and n(1-p) = 2.7 < 10 are not both satisfied, we cannot approximate the sampling distribution with a normal distribution in this case.

Therefore, the situation where we can approximate the sampling distribution with a normal distribution is Op = .90 and n = 32.

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Solve for n in the proportion. 215/370=344/n

Answers

This simple proportion equation will result to 592

Understanding proportion

In mathematics, a proportion is a statement that two ratios or fractions are equal. It expresses the relationship between two quantities or sets of quantities that are proportional or have a constant ratio to each other.

For example, the statement "2/3 = 4/6" is a proportion, which means that the ratio of 2 to 3 is the same as the ratio of 4 to 6. This proportion can be simplified by dividing both sides by 2, giving "1/3 = 2/3", which means that one-third is equal to two-thirds.

Proportions are commonly used in various fields such as finance, science, and engineering to solve problems related to scaling, measurement, and comparison.

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how many arrangements can be made using 4 letters of the word hyperbolas if no letter is to be used more than once?

Answers

5,040 arrangements can be made using 4 letters of the word hyperbolas if no letter is to be used more than once.

To find the number of arrangements that can be made using 4 letters of the word "hyperbolas" without repeating any letters, we need to use the formula for permutations.

The formula for permutations of n objects taken r at a time is:

P(n,r) = n! / (n-r)!

Where "n" is the total number of objects and "r" is the number of objects we are choosing.

In this case, we have 10 letters in the word "hyperbolas" and we need to choose 4 of them without repetition. So we can plug in the values:

P(10,4) = 10! / (10-4)!
P(10,4) = 10! / 6!
P(10,4) = (10 x 9 x 8 x 7 x 6!) / 6!
P(10,4) = 10 x 9 x 8 x 7
P(10,4) = 5,040

Therefore, there are 5,040 different arrangements that can be made using 4 letters of the word "hyperbolas" without repeating any letters.

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T/F : If v is an eigenvector of A, then cv is also an eigenvector of A for any number câ 0

Answers

True. If v is an eigenvector of A with eigenvalue λ, then for any scalar c ≠ 0, we have Av = λv, and multiplying both sides by c gives Acv = cAv = cλv. Therefore, cv is also an eigenvector of A with eigenvalue cλ.

Let A be an n x n matrix and let v be a non-zero n-dimensional column vector. We say that v is an eigenvector of A if there exists a scalar λ such that Av = λv. The scalar λ is called the eigenvalue corresponding to the eigenvector v.

Now, suppose that v is an eigenvector of A with eigenvalue λ. If we multiply both sides of the equation Av = λv by a non-zero scalar c, we get:

Acv = cAv = cλv

Therefore, if we let w = cv, we have:

Aw = A(cv) = (Ac)v = (cλ)v = λ(cv) = λw

This shows that w = cv is also an eigenvector of A, with eigenvalue λ, as required. So, if v is an eigenvector of A, then any non-zero scalar multiple of v is also an eigenvector of A with the same eigenvalue.

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What is the ANSWER also Chapter 8 Big Ideas Math Blue Book

Answers

The volume of the smaller triangular prism is calculated as:

= 9.6 cubic cm.

What are the Volume of Similar Triangular Prisms?

To find the volume of similar triangular prisms, recall that:

the cube of the ratio of their linear measures = the ratio of their volumes.

Given the following:

ratio of the linear measures of the two similar triangular prisms = 2/5

Volume of the larger prism = 150 cubic cm

Volume of the smaller prism = x

Set up the equation as shown below:

2³ / 5³ = x / 150

8/125 = x/150

Cross multiply:

125x = 8 * 150

125x = 1,200

x = 1,200/125

x = 9.6 cubic cm.

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Can someone please help me with this

Answers

The equation of the axis of symmetry for the parabola is x = 4.

How to find the axis of symmetry of a parabola

In this problem we find the representation of a parabola whose axis of symmetry is parallel with the y-axis, the formula of the parabola is:

y = a · x² + b · x + c

Where:

a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.

And the axis of symmetry of the parabola is shown below:

x = h

Where h is the x-coordinate of the vertex.

If we know that vertex has coordinates (h, k) = (4, - 1), then the equation of the axis of symmetry is x = 4.

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HELP PLEASE IM TIMED

Answers

The amount of fabric that is needed for the tent is 18350 in² (optionC)

What is area of prism?

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as ;

SA = 2B +pH

where B is the base area , p is the perimeter of the base and H is the height of the prism.

Base area =1/2bh

= 1/2 × 50× 70

= 25 × 70

= 1750in²

Perimeter of the base = 74+74+50

= 198 in

height = 75in

Therefore SA = 2×1750 +198 × 75

= 3500 + 14850

= 18350 in²

therefore the amount of fabric that will be needed nis 18350 in²

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!!HELP ASAP DUE TODAY!! I need help with this math problem.

Answers

The value of x in the expression is x = - 14

How to determine the value?

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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a bag of marbles contains 6 red and 2 white marbles. if two marbles are selected, what is the probability that one is red and the other is white

Answers

The probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7

To find the probability that one marble is red and the other is white when two marbles are selected from a bag containing 6 red and 2 white marbles, you can use the following formula:

P(Red and White) = P(Red first) * P(White second) + P(White first) * P(Red second)

In this case:

P(Red first) = 6/8 (since there are 6 red marbles and a total of 8 marbles)
P(White second) = 2/7 (after removing one red marble, there are 2 white marbles and a total of 7 marbles left)

P(White first) = 2/8 (since there are 2 white marbles and a total of 8 marbles)
P(Red second) = 6/7 (after removing one white marble, there are 6 red marbles and a total of 7 marbles left)

Now, substitute these values into the formula:

P(Red and White) = (6/8) * (2/7) + (2/8) * (6/7) = (12/56) + (12/56) = 24/56

Simplify the fraction:

P(Red and White) = 3/7

So, the probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7.

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WILL MARK BRAINLIEST!!!
Simplify the system.

Answers

Answer:

[tex] \frac{6 {x}^{2} - 12x - 48 }{3 {x}^{2} - 12x - 36 } = \frac{6( {x}^{2} - 2x - 8)}{3( {x}^{2} - 4x - 12)} = \frac{6(x + 2)(x - 4)}{3(x + 2)(x - 6)} = \frac{2(x - 4)}{x - 6} = \frac{2x - 8 }{x - 6} [/tex]

the sample space contains 6 as and 4 bs. what is the probability that a randomly selected set of 3 will include 1 a and 2 bs?

Answers

The probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

To find the probability that a randomly selected set of 3 will include 1 a and 2 bs, we first need to determine the total number of possible sets of 3 that can be selected from the sample space.

Since the sample space contains 6 as and 4 bs, the total number of possible sets of 3 that can be selected is:

10C3 = (10!)/(3!*(10-3)!) = 120

This means there are 120 different ways to select a set of 3 from the sample space.

Next, we need to determine the number of sets of 3 that include 1 a and 2 bs. To do this, we can use the combination formula:

6C1 * 4C2 = (6!)/(1!*(6-1)!) * (4!)/(2!*(4-2)!) = 6*6 = 36

This means there are 36 different sets of 3 that include 1 a and 2 bs.

Finally, we can calculate the probability of selecting a set of 3 that includes 1 a and 2 bs by dividing the number of sets that meet this condition by the total number of possible sets:

36/120 = 3/10

Therefore, the probability that a randomly selected set of 3 will include 1 a and 2 bs is 3/10.


Given that the sample space contains 6 As and 4 Bs, let's find the probability that a randomly selected set of 3 will include 1 A and 2 Bs.

1. First, calculate the total number of ways to choose 3 elements from a set of 10 (6 As and 4 Bs). We use the combination formula:

C(n, r) = n! / (r!(n-r)!)
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120

2. Next, find the number of ways to choose 1 A from the 6 As and 2 Bs from the 4 Bs:

C(6, 1) = 6! / (1!(6-1)!) = 6! / (1!5!) = 6
C(4, 2) = 4! / (2!(4-2)!) = 4! / (2!2!) = 6

3. Multiply the number of ways to choose 1 A and 2 Bs:

Number of favorable outcomes = C(6, 1) × C(4, 2) = 6 × 6 = 36

4. Finally, calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes = 36 / 120 = 3/10 or 0.3

So, the probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

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Confused on my math assignment. Can anyone help?

Answers

Answer:

Step-by-step explanation:

Here are the match-ups:

Han:  x+2<20

Mai: x-2<20

Tyler: 2x<20

Priya: 1/2<20

Problem 3 Relentless.com, an online retailer, randomly sampled 250 customers to estimate the time they spend on their website. The results show that the 250 customers spent 20 minutes on average on the website. If the population standard deviation of the time spent on the website is 25 minutes, estimate , the true (population) average time spent on the website, at a 95% confidence level.

Answers

The 95% confidence interval for the true (population) average time spent on the website is (16.08, 23.92) minutes. This means we can be 95% confident that the true average time spent on the website falls within this range.

To estimate the true (population) average time spent on the Relentless.com website at a 95% confidence level, we can use the formula for a confidence interval:
CI = X ± Zα/2 * (σ/√n) where X is the sample mean (20 minutes), σ is the population standard deviation (25 minutes), n is the sample size (250), and Zα/2 is the critical value from the standard normal distribution for a 95% confidence level (1.96).
Plugging in the values, we get:
CI = 20 ± 1.96 * (25/√250)
Simplifying, we get:
CI = 20 ± 3.92

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I SUCK AT MATH HELP!giving 11. Points

Answers

The unit of measurement that Mia should use for the surface area of the prism is B. in ².

Why is this unit best ?

Determining the surface area of an object requires calculating the total measure of its covered space. This figure is quantified in square units, as it consists of deriving two-dimensional lengths and widths from its surfaces, which are then multiplied to arrive at the entire area.

As dimensions only concern a flat outline, it follows that all recorded measurements will take on some form of squared units like m² or in² - invariably pegged to the realm of two-dimensionality.

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consider the following two statements: i ) the derivative of a sum is the sum of the derivatives. ii) the derivative of a difference is the difference of the derivatives. select the correct response below
a. Neither i or ii is true. b. Only statement ii is true. c. Only statement i is true d. Both i and ii are true.

Answers

there is a related property known as the chain rule which can be used to differentiate a difference of functions.

The correct response is: c. Only statement i is true.

Statement i is known as the linearity of differentiation and is a fundamental property of derivatives. It states that the derivative of a sum of functions is equal to the sum of their derivatives.

On the other hand, statement ii is not true in general. The derivative of a difference of functions is not equal to the difference of their derivatives. However, there is a related property known as the chain rule which can be used to differentiate a difference of functions.

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The circumference of a circle is 2 pi meters. Find its radius, in meters.

Answers

Answer:

1 meter

Step-by-step explanation:

Circumference of circle = 2 · r · π

Circumference = 2π

Let's solve

2π = 2 · r · π

2 = 2 · r

r = 1 meter

So, the radius is 1 meter

Oxford Company uses a job order costing system. In the last month, the system accumulated labor time tickets totaling $26,000 for direct labor and
$5,700 for indirect labor. The journal entry to record indirect labor consists of a:
Multiple Choice

Answers

The journal entry to record indirect labor consists of A. Debit Factory Overhead $ 5, 700, credit Factory Wages Payable $ 5, 700.

How to record the indirect labor ?

Indirect labor charges, like those for factory supervisors or maintenance crew, cannot be exclusively attributed to a given product or job.

Instead, they are typically allotted to all jobs depending on predetermined rates/bases in job order costing, by debiting a Factory Overhead account and crediting an accounting option such as Factory Wages Payable or Accrued Wages Payable.

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Check these answers?​

Answers

1. The width is  7 1/9 feet

2. The number of containers is  10 9/16 containers

3. The length is 15/8 miles

4. 15/184 servings

How to determine the value

The formula for determining the area of a rectangle is expressed as;

A = lw

Given that the parameters are;

A is the area of the rectangle.l is the length.w is the width of the rectangle.

We have that;

1. Substitute the values

32 = 9/2w

Make the width subject of formula

32× 2/9 = w

Multiply the values

w = 64/9 = 7 1/9 feet

2. To determine the value, we have;

Area = 13/2 × 13/8

Multiply the values

Area = 169/16

Divide the values

Area = 10 9/16 containers

3. The area is 15/56

Width = 1/7

Then

Length = area/width

Length = 15/56 × 7/1

Multiply the values

Length = 15/8 miles

4. We have that;

1 serving = 5/4

then x = 46/3

cross multiply the values

x = 5/4 × 3/46

Multiply the values

x = 15/184 servings

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True or false. When evaluating a square root (i.e. √8), you only acknowledge the positive root

Answers

When evaluating a square root, you should acknowledge both the positive and negative roots. Hence, the given statement is false.

The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

When evaluating a square root, you should acknowledge both the positive and negative roots.

Example: √8

= √(4×2)

= ±2√2

Hence, the given statement is false.

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