PLEASE HELP!!!


1. Which is a factor of x^2+5x-24

a. (x+4)

b. (x-4)

c. (x+3)

d. (x-3)


2. Which is a factor of x^2+2x-15

a. (x-3)

b. (x+3)

c. (x+15)

d. (x-5)


3. Which is a factor of n^2+3n-54
a. n+6
b. n^2+9
c. n-9
d. n+9

Answer:

270 cubic inches

Step-by-step explanation:

Given :

Mass of the clay brick = 5.4 pounds

Density = 0.02 pounds per cubic inch

Length of the brick = 4 inch

Width = \($2\frac{1}{4}$\) inch

We know, density = mass / volume

Or Volume = mass / density

                  = 5.4 / 0.02

                 = 270 cubic inches

Therefore, the volume of the brick is 270 cubic inches.

The number of kilowatt-hours consumed in a week by the 850-Watt window air conditioner that is left on all day is approximately 14.28 kW-hrs.

To calculate the number of kilowatt-hours (kW-hrs) consumed by the air conditioner in a week, we need to consider the power rating of the air conditioner (850 Watts) and the duration it is left on each day.

Power of the air conditioner = 850 Watts

Duration of usage per day = 24 hours (left on all day)

Number of days in a week = 7 days

To calculate the energy consumption, we can use the formula:

Energy (kW-hrs) = Power (kW) * Time (hours)

First, let's convert the power from Watts to kilowatts by dividing it by 1000:

Power (kW) = 850 Watts / 1000 = 0.85 kW

Now we can calculate the energy consumption in a week:

Energy (kW-hrs) = Power (kW) * Time (hours)

Energy (kW-hrs) = 0.85 kW * 24 hours/day * 7 days

Energy (kW-hrs) = 14.28 kW-hrs

Therefore, the number of kilowatt-hours consumed in a week by the 850-Watt window air conditioner that is left on all day is approximately 14.28 kW-hrs.

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Answer: the answer is b . negative Infinity infinity and positive 8

For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.



To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.

Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.

The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.

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Answer:

rational

Step-by-step explanation:

cause it can be shown as a divition of real numbers

If the HCF of 65 and 117 is expressible in the form of 65 m-117, then the value of m is 2.

To find the value of m, follow these steps:

Therefore, the value of m is 2.

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Multiplying the numerator and the denominator by the same constant, we get an equivalent fraction, as follows:

Then, -6/4 is equivalent to -3/2

2014, it had not quite reached the 2015 mark.

a) Where the information about triangle ABC is given above, the measure of angle B is 60°

Using the Cos Rules,

(15√3)² = 30² + 15² - 2(15 x 30) cos B

⇒ 657 = 1125 - 900 cosB

⇒ 2 Cos B = 1 Cos B = 1/2

So

B = Cos ⁻¹(1/2)

Hence,

B = 60°

B) Given the above,

Now, we can use the tangent function to find tan B:

tan B = sin B / cos B

  = sin (π/3) / cos (π /3)

  = (√3 / 2) / 0.5

tan B = √3

C ) the area of the rriangle is given as

s = (a + b + c) /2

Substituting

s = (15 + 15√ 3 + 30)/2

s = 30 + 15√3

Area = √ [ (30 + 15√3)(15√3) (15)(30  - 15 - 15√3))

Simplifying  we can say

Area = √(30 + 15√3  )( 15√3)(15)(15 - 5√3 )]

= √[3(10 + 5√3)(15)(3√3 - 1)]

  = √[2250 - 1125√3]

Hence,

Area ≈ 17.36in

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The amount paid back when the loan is paid in full at the end of that period will be $77,546.3.

Given that:

Principal, P = $35,000

Rate, r = 7.5% or 0.075

Time, n = 11 years

The amount (A) is calculated as,

A = P(1 + r)ⁿ

If the loan is paid in full at the end of that period, then the amount paid back is calculated as,

A = $35,000 x (1 + 0.075)¹¹

A = $35,000 x (1.075)¹¹

A = $35,000 x 2.2156

A = $77,546.3

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The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.

To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:

E[g(X)] = ∫(4X^2 + 2) * f(x) dx

Substituting the given density function, we have:

E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx

After simplifying and evaluating the integral, we can find the value of E[g(X)].

Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:

Var[g(X)] = E[(g(X) - E[g(X)])^2]

By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].

Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.

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Answer: y = 3/4x

Step-by-step explanation:

(100, 75)

(200, 150)

find slope

150 - 75 / 200 - 100

75 / 100 = 3/4

plug values into formula y=mx+b to find y-intercept

y = 3/4x + b

75 = 3/4(100) + b

75 = 75 + b

b = 0

In a study examining the effect of ignoring text messages on distraction, the variable "trying to ignore text messages" would be the independent variable, whereas the variable "amount of distraction" would be the dependent variable.

The independent variable is the one that is manipulated or controlled by the researcher. In this case, the researchers are interested in studying the effect of attempting to ignore text messages, so they would manipulate the participants' behavior in relation to text messages (e.g., asking them to ignore the messages or not).

The dependent variable, on the other hand, is the variable that is measured or observed to determine the effect of the independent variable. Here, the researchers would measure the amount of distraction experienced by the participants as a result of trying to ignore the text messages.

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Answer:

same, man. wish I could go back to elementary school where everything was easy and fun.

Answer:

(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020

Step-by-step explanation:

Divide the mass of one dust particle by the mass of one electron, and that will be your answer.

Answer:

No, they are not.

Answer:

No they arent.

Step-by-step explanation:

3/8 = 45/120

7/15 = 56/120

not the same.

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

60

Step-by-step explanation:

Is means equals and of means multiply

21 = 35% * n

21 = .35*n

Divide each side by .35

21/.35 = .35n/.35

60 = n

Answer:

60

Step-by-step explanation:

35% of 60 is 21 its that simple

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function \(g (x) = 3x^4 - 8x^3\)

The function is at a maximum at g'(x) = 0

Differentiating the function given:

\(g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \\)

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

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Answer:

Improper Fraction:
933/100

Mixed Number:
9 33/100

Step-by-step explanation:

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Answer and work down below. Let me know if you have questions

To find the number of teaspoons of raisins per bar in 1 batch, we need to first calculate the total number of teaspoons of raisins used in 1 batch, and then divide that by the total number of bars in 1 batch.

The recipe calls for 2 cups of raisins per batch of dough, and 1 cup is equal to 48 teaspoons. Therefore, 2 cups of raisins is equal to:

2 cups * 48 teaspoons/cup = 96 teaspoons

One batch of dough makes 5 dozen bars, or 5 x 12 = 60 bars.

So, the number of teaspoons of raisins per bar in 1 batch is:

96 teaspoons / 60 bars = 1.6 teaspoons/bar

Therefore, the correct calculation to use is:

96 teaspoons / 60 bars = 1.6 teaspoons/bar

Answer:

Their ages are 38,39 and 40.

Step by step explanation:

If they were all the same age, then their ages would be:

But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.

Step-by-step explanation:

\( \sqrt{} 4(m - 1) ^{2} = \sqrt{} 4 \)

Answer:

4(m-1)^2=4

(2(m-1))^2=2^2

2(m-1)=2

2m-2=2

2m=4

m=2

Three equations are different but all are correct and are AP in nature.We need to find three different equations for an Arithmetic Progression (AP) using numbers and symbols.

Arithmetic progression (AP) is a sequence of numbers that follow a certain pattern. It has a common difference between consecutive terms. This difference can be represented by a symbol like "d".So, we can write the first term of the AP as "a", then the second term will be "a+d", the third term will be "a+2d", and so on. Here are three different equations for AP:Equation 1:a, a+d, a+2d, a+3d, a+4d, a+5d, ...Equation 2:8, 11, 14, 17, 20, 23, ... (where a=8 and d=3)Equation 3:-10, -8, -6, -4, -2, 0, 2, ... (where a=-10 and d=2)The above mentioned equations satisfy the condition of Arithmetic progression (AP) where each term is obtained by adding the same constant difference "d" to the previous term. These three equations are different but all are correct and are AP in nature.

Arithmetic Progression (AP) is a sequence of numbers that follow a certain pattern. In a series of numbers that are in Arithmetic Progression (AP), each term is obtained by adding the same constant difference "d" to the previous term. The difference between the successive terms in an AP is constant. The nth term of an AP is given by the formula:a + (n - 1)dWhere 'a' is the first term of the AP, 'd' is the common difference and 'n' is the term number we want to find.To write the equation of AP, we first consider the first term 'a' and then we add 'd' to the first term to get the second term. Continuing this process, we can write the nth term of AP as:a + (n-1)dLet's consider an example:Equation 1:a, a+d, a+2d, a+3d, a+4d, a+5d, ...Here 'a' represents the first term of the AP and 'd' is the common difference between the consecutive terms in the AP. This equation is an infinite series. It is clear that every term in this series is obtained by adding the constant difference "d" to the previous term.Equation 2:8, 11, 14, 17, 20, 23, ...Here a=8 and d=3. In this AP, we can see that the difference between consecutive terms is 3. Thus, each term is obtained by adding 3 to the previous term.Equation 3:-10, -8, -6, -4, -2, 0, 2, ...Here a=-10 and d=2. The difference between consecutive terms in this AP is 2. Thus, each term is obtained by adding 2 to the previous term.These three equations are different but all are correct and are AP in nature.

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To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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Based on the LCM of 9 and 3, the smallest number of nuts that Ann can buy at the local hardware store that sells nuts in packs of 9 and bolts in packs of 3 is 9.

The LCM means the least common multiple.

The least common multiple represents the smallest number that is a multiple of both numbers.

For instance, the LCM of 9 and 3 = 9

The number of nuts in a pack = 9

The number of bolts in a pack = 3

Using the LCM, the smallest number of nuts Ann can purchase from the Store is 9, consisting of 1 pack of nuts and 3 packs of bolts.

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Based on the values, it should be noted that the mean of Kiran's data is 14 minutes.

Since the data points are not evenly distributed, we can see that 15 minutes might not be a good estimate for the mean.

The majority of the data points fall between 11 and 18 minutes, with two values below 15 and three values above 15. Thus, the mean is likely to be higher than 15 minutes.

Now, let's calculate the mean for Kiran's data:

(16 + 11 + 18 + 12 + 13) / 5 = 70 / 5 = 14

The mean of Kiran's data is 14 minutes.

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