Write each number in standard form.

Answer:

Step-by-step explanation:

\(sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.\)

Answer:

it is a rational

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.

Answer:

x = 12

Step-by-step explanation:

Hi there!

The straight line on the bottom of the diagram tells us that 20° + (6x-2)° + 90° is equal to 180 degrees:

180 = 90 + 20 + (6x-2)

90 = 20 + (6x-2)

70 = 6x-2

72 = 6x

12 = x

Therefore, x is equal to 12.

I hope this helps!

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.

The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.

Given, sets D = {16,19.21},

E = {16,18, 19,20},

and F = {15, 17, 18,19,21}.

To find the elements in the set DUE:

Here, we have to find the collection of sets D and E

And we have the elements of,

D = {16,19.21}

And E = {16,18, 19,20}.

To find the union of sets, we take all the elements in the union set.

And while doing, we should not repeat the elements.

And put the elements in the ascending order.

So, the union of set D and E is,

DUE = {16,18,19,20,21}

Therefore, the DUE is {16,18,19,20,21}.

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Answer:

option C

Step-by-step explanation:

the solutions to function x^2 -9x +14 are (x-7) and (x-2)

through the zero product property

(x-7)=0

x=7

and

(x-2)=0

x=2

this is what I looked up and got..hope it helps

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The grocery store chain should rent 2 type A trucks and 233 type B trucks to achieve the minimum total cost.

In order to transport 3000 m of refrigerated goods and 4000 m of non-refrigerated goods, a grocery store chain is looking to rent trucks. To transport these goods, the company is planning to hire two types of trucks:

type A and type B. Each type A truck has a 20 m refrigerated goods section and a 40 m non-refrigerated goods section, while each type B truck has both sections with the same volume of 30 m.

The cost per cubic meter is $30 for a type A truck and $40 for a type B truck. How many trucks of each type should the grocery store chain rent to achieve the minimum total cost?

Assuming that we have x type A trucks and y type B trucks, then we can write the following equations:

20x ≤ 300030y ≤ 4000 40x + 30y > 3000 + 4000 30x + 30y > 3000x > 100Since x must be an integer, we must round x up to 2.Now we need to figure out the number of type B trucks we need

. Using the equations,

we can write the following:

30x + 30y = 3000 + 4000 30x + 30y

= 700030y

= 7000 - 30x y

= (7000 - 30x)/30 y

= 233.33 - x/3

Since y must be an integer, we must round y down to 233.

Now we have x = 2 and y = 233, so we need to rent 2 type A trucks and 233 type B trucks. The total cost will be:2 * 20 * 30 + 233 * 30 * 40 = $608,400

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

If David buys the shirt online:

 \(\hookrightarrow \text{he gets a 25 percent discount of the list price}\)

    \(\hookrightarrow \text{he pays for 75 percent of list price}\)

If David buys the shirt in-store:

\(\hookrightarrow \text {he pays for 80 percent of the list price}\)

   \(\hookrightarrow \text{he gets a 5 percent discount of the store's price}\)        

         \(\hookrightarrow \text{he pays 95 percent of the store price}\)

             \(\hookrightarrow \text{he pays '0.95 * 80' = 76 percent of the price}\)

Thus David saves 1% if he buys the shirt online as compared to if he buys the shirt in-store.

Answer: (G) or 1%

Hope that helps!

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To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)

Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

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The greatest common factor (GCF) of the expression 2x² - 74x + 12 is 2. The factored form of the expression is 2(x - 6)(x - 1).

To find the GCF of the expression 2x² - 74x + 12, we look for the greatest common factor among all the terms. In this case, all the terms have a common factor of 2. Therefore, the GCF is 2.

To factor the expression, we can use various factoring methods such as factoring by grouping or the quadratic formula. In this case, the expression can be factored using the factoring by grouping method.

The factored form of the expression is obtained by breaking down the middle term -74x into two terms that can be factored separately. By factoring out the GCF of 2, the expression becomes 2(x - 6)(x - 1).

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The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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The binomials D. 6a + 7b is a factor of the given expression.

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We have given the expression below

36a^2 - 49b^2

Factors;

36a^2 = 6a x 6a

49b^2 = 7b x 7b

Hence, The binomials D. 6a + 7b is a factor of the given expression.

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Answer:

850

Step-by-step explanation:

500 times 0.7 plus 500

To find the average value, we integrate V(t) from t = 0 to t = 11:

Average value = (1/11) ∫[0 to 11] 225000e^(-0.15t) dt

To evaluate the integral, we can use the integration rules for exponential functions.

The antiderivative of e^(-0.15t) with respect to t is (-1/0.15) e^(-0.15t). Applying the fundamental theorem of calculus, we have:

Average value = (1/11) [(-1/0.15) e^(-0.15t)] [0 to 11]

Evaluating this expression will give us the average value of the yacht over its first 11 years of use.

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Answer:

give other guy brainliest he is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer d) is the correct one.

                                opposite side

tan Z is defined as ----------------------- and this is 5/3.

                                 adjacent side

Answer:

function 2 only

Step-by-step explanation:

The Function that have a slope have 1 is Function 1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From function 1, the slope is

Slope = (0-2)/ (1- 3)

Slope = (-2)/ (-2)

Slope = 1

Now, for function 2 the slope is

Slope = 2

and, for Function 3 the slope is

Slope = 0

and, For function 4 the slope is

Slope = 3/2

Thus, Slope of function 1 have slope 1.

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Answer:

Step-by-step explanation:

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

The Identity Property is made up of two parts: Additive Identity and Multiplicative Identity.

Add zero (0) to a number, the sum is that number. Multiply a number by 1, the Product is that number.

Divide a number by itself, the Quotient is 1

Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Answer:

The answer must be C

Step-by-step explanation:

I can explain if you want to, just let me know!

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100000\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 100000e^{0.042\cdot 6} \implies A = 100000e^{0.252}\implies A \approx 128659.60\)

Answer:

24pi inches, or 75.3982237in

Step-by-step explanation:

circumference is diameter times pi

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

A

Step-by-step explanation:

because it is

Kallie and Jeie sold 4 regular lemonade for $1.50 amount each, and 16 strawberry lemonade for $2 each, and made a total of $45.

Regular Lemonade: 9

Strawberry Lemonade: 21

Regular Lemonade:

Price of Regular Lemonade = 1.50

Total earnings from Regular Lemonade = 9 x 1.50 = 13.50

Strawberry Lemonade:

Price of Strawberry Lemonade = 2

Total earnings from Strawberry Lemonade = 45 - 13.50 = 31.50

Number of Strawberry Lemonade sold = 31.50 / 2 = 15.75

Number of Regular Lemonade sold = 15.75 - 12 = 3.75

Rounded to nearest whole number,

Number of Regular Lemonade sold = 4

Number of Strawberry Lemonade sold = 16

Kallie and Jeie sold 4 regular lemonade for $1.50 amount each, and 16 strawberry lemonade for $2 each, and made a total of $45.

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Answer:

Step-by-step explanation:

26+6b≥2(3b+4)

25+6b≥6b+8

25≥8

which is true as 25>8

so b can have any real value.

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps