The diagonal of a rectangle is 10 units. The width is 6 units, What is the area of the rectangle in square
units?

Step-by-step explanation:

Following B. O. D. M. A. S rule :

= { [ 8 / 2] ^2 - 6} * (-2)

= { 4 ^ 2 - 6} * - 2

= 10 * - 2

= - 20

Answer:

Solution : - 20

Step-by-step explanation:

We have the following expression to simplify,

[tex]\left\{\left[\frac{\left(3+5\right)}{2}\right]^2-\left(3\cdot 2\right)\right\}\cdot \left(-2\right)[/tex]

Let's start by simplifying simple expressions, such as 3 + 5 = 8 and 3 * 2 = 6. Substituting we receive,

[tex]\left\{\left[\frac{\left(8\right)}{2}\right]^2-\left(6\right)\right\}\cdot \left(-2\right)[/tex]

8 / 2 = 4, and 4² = 16 -

[tex]\left\{16-\left(6\right)\right\}\cdot \left(-2\right)[/tex]

And of course 16 - 6 = 10, simplifying the expression to " - 2 [tex]*[/tex] 10 " leaving us with a solution of - 20.

Answer:

Step-by-step explanation:

Simplify.

10 x 4000

40000

Unit form.

forty-thousand = four thousands

I'm sorry if I misunderstood.

Please add Brainliest if you'd like, not that it matters.

Multiplication is the process of multiplying. The value of the expression 10 × 4,000 is 40,000.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

In the given expression 10×4000, the symbol of '×' represents that the two digits should be multiplied. Therefore, the value of the multiplication of 10 and 4,000 is,

10 × 4,000 = 40,000

Hence, the value of the expression 10 × 4,000 is 40,000.

Learn more about Multiplication here:

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Answer:

8

Step-by-step explanation:

The domain of the function is [tex]\mathbb{R}[/tex] or in set notation [tex](-\infty, \infty)[/tex].

The range of the function is [tex][0, -\infty)[/tex].

Hope this helps.

Answer:

12.3 = y

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 35 = y/15

15 cos 35 = y

12.28728066 = y

To the nearest tenth

12.3 = y

Answer:

The answer is

Step-by-step explanation:

To convert any angle from radians to degrees multiply that angle by

So for the above angle in the question we have

Reduce the fraction with π

That's

We have the final answer as

Hope this helps you

The table and the plotted data are in the attachment.

Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.

To use the method, follow the steps:

1) Calculate the mean of the two variables:

[tex]X = \frac{\Sigma x_{i}}{n}[/tex]

[tex]Y=\frac{\Sigma y_{i}}{n}[/tex]

2) The Slope of the line is given by:

[tex]m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}[/tex]

3) The y-intercept is found by the formula:

[tex]b=Y-mX[/tex]

For the ripening of bananas, the least square method gives the line:

y = -0.142x + 5.56

The rate of change of a line equation is its slope, so

Rate of change = -0.14

The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.

Answer:

9x

Step-by-step explanation:

let's say that x is the number we don't know

the product means multiplication

9*x=9x

so the answer is 9x

Answer:

[tex]\Huge \boxed{9x}[/tex]

Step-by-step explanation:

Let the unknown number be x.

The product of x and 9.

The product refers to multiplication.

[tex]x \times 9[/tex]

Answer:

-180

Step-by-step explanation:

just simply put the values in place of variables and solve

36(3) - 8(6)^2

108 - 8(36)

108 - 288

-180

Answer:

-180

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

So we know that RT is 36.

Note that RT is the combined length of RS and ST. Therefore:

[tex]RT=RS+ST[/tex]

Substitute. RT is 36, RS is 6x+1 and ST is x+7:

[tex]36=(6x+1)+(x+7)[/tex]

Combine like terms and add:

[tex]36=7x+8[/tex]

Subtract 8 from both sides:

[tex]28=7x[/tex]

Divide by 7:

[tex]x=4[/tex]

So, our answer is 4 :)

Answer:

The answer is C. Property tax.

Step-by-step explanation:

An example of a typical cost that is not associated with renting include the following: C. property tax.

In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:

Sales tax

Income tax

Property tax

here, we have,

Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.

In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.

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Answer:

2 / 5

Step-by-step explanation:

Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.

Answer:

There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm

Step-by-step explanation:

From the question we are told that

    The  sample size for each algorithm is [tex]n_1 = n_2 = n = 61[/tex]

     The sample mean  for new algorithm is  [tex]\= x_1 = 14.06 \ hr[/tex]

     The  standard deviation for new algorithm is  [tex]\sigma _1 = 3.004 \ hr[/tex]

     The  sample  mean for  the current algorithm is  [tex]\= x_2 = 16.43 \ hr[/tex]

     The standard deviation for current algorithm is  [tex]\sigma _2 = 4.568[/tex]

     The  level of significance is [tex]\alpha = 0.05[/tex]

The  null hypothesis is  [tex]H_o : \mu_1 = \mu _2[/tex]

The  alternative  hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]

Here  [tex]\mu _1 \ and \ \mu_2[/tex] are population mean for  new and current algorithm

Generally the test statistics is mathematically represented as

       [tex]Z = \frac{ \= x _1 - \= x_2 }{ \sqrt{\frac{ \sigma_1 ^2 }{n_1} + \frac{\sigma^2_2 }{ n_2}} }[/tex]

=>    [tex]Z = \frac{ 14.06 - 16.43 }{ \sqrt{\frac{ 3.004^2 }{61} + \frac{4.568^2 }{ 61}} }[/tex]

=>    [tex]Z = -3.39[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = P(Z < -3.39 )[/tex]

From the  z-table  

             [tex]P(Z < -3.39 ) = 0.0003[/tex]

=>    [tex]p-value = P(Z < -3.39 ) = 0.0003[/tex]

From the calculated value  we see that  [tex]p-value < \alpha[/tex]  hence the null hypothesis is rejected

        Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm

Answer:

distance = 245 in

Step-by-step explanation:

1 in = 50

distance = 4.9 in x 50

distance = 245 in

Answer: 245 miles

Step-by-step explanation:

fg

Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given is expression below to be simplified:

The step in simplifying is the power of the power, which is equal to product of powers: (xᵃ)ᵇ = xᵃᵇ. So, power of  -3 of the whole equals to:

This expression is same as the last option:

So, this is the correct one.

Answer:

other answer was correct

Step-by-step explanation:

Answer:

The answer would be x = 6 , − 6

Step-by-step explanation:

x 2 = 36

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 36

The complete solution is the result of both the positive and negative portions of the solution.

Which give you the answer of x = 6 , − 6

Answer: [tex]\frac{2}{9}[/tex]

Step-by-step explanation: It is 2/9 because 2/9 converts to 0.222222222...

Hope it helps!

Answer:

I need something to slove

Step-by-step explanation:

Answer:

288π cm³, 904.32 cm³, and 904.778683 cm³

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

[tex]V=\frac{4}{3} \pi r^3[/tex]

We are given the diameter, so we must find the radius.

The radius is half of the diameter.

r= d/2

The diameter is 12 cm.

r= 12 cm/2

r= 6 cm

The radius is 6 centimeters. Let's return to the formula and substitute 6 cm in for r.

[tex]V=\frac{4}{3} \pi (6cm)^3[/tex]

Evaluate the exponent.

[tex](6 cm)^3= 6 cm * 6 cm * 6cm = 36 cm^2 * 6cm= 216 cm^3[/tex]

[tex]V=\frac{4}{3} \pi * 216 cm^3[/tex]

Multiply 4/3 and 216 cm^3

[tex]V= (\frac{4}{3} * 216 cm^3)\pi[/tex]

In terms of pi:

[tex]V= 288\pi cm^3[/tex]

Using 3.14 as pi:

[tex]V= 288 \pi cm^3[/tex]

[tex]V= (288 * 3.14) cm^3[/tex]

[tex]V= 904.32 cm^3[/tex]

Using 3.14159265 as pi:

[tex]V= 288 \pi cm^3[/tex]

[tex]V= (288 * 3.14159265) cm^3[/tex]

[tex]V=904.778683 cm^3[/tex]

The volume of the sphere is 288π cm³, 904.32 cm³, and 904.778683 cm³

Answer:

Volume of sphere by formula is V= 4/3πr^3

Since d= 12

Then r = d/2

Radius = diameter / 2

r = 12/2

r = 6

V = 4/3 x 22/7 x 6^3

V = 1.33 x 3.14 x 216

V = 902.1cm^3....

Thanks

Answer:

-1

Step-by-step explanation:

Simplify the following:

x - 2/2 - x

Hint: | Reduce (-2)/2 to lowest terms. Start by finding the GCD of -2 and 2.

The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:

x + -1 - x

Hint: | Group like terms in x - 1 - x.

Grouping like terms, x - 1 - x = (x - x) - 1:

(x - x) - 1

Hint: | Look for the difference of two identical terms.

x - x = 0:

Answer:  -1

Answer:

Neither, they increase by the exact same amount.

Step-by-step explanation:

With the first data set you have a mean of 50 and a median value of 50 as well because to find a median of an even set of numbers you take the two middle values and average them together, in this case being 35 and 65 averaging out to 50. Adding 155 to this data set increases the mean to 65 and the median value to 65 as well, making this a trick question because the increase is the exact same.

Answer:

A) I) 49 teams

II)63 teams

B) 28 teams

Step-by-step explanation:

A) a team of 5 boys and 6 Girls

=7C5+ 8C6

= 21+28

= 49 teams

a team of 6 boys and 5 girls

= 7C6 + 8C5

= 7+56

= 63 teams

B) one girl is kept constant already and a guy has injury

Girls remaining to choose from 7

Boys remaining to choose from 6

= 1 +7C5 + 6C5

= 1+21+6

= 28 teams

Smaller t = 2

Larger t = 5

Step-by-step explanation:

Given:

The given function is.

Find the zeros of the function.

Solution:

Simplify the equation above equation.

Now, we first find the root of the above equation.

Use quadratic formula with .

Put a, b and c value in above equation.

For positive sign

t = 2

For negative sign

t = 5

Put t = 2 in given function.

Put t = 5 in given function.

So, the zeros of the function is t = 2 or 5

Therefore, the smaller value of t = 2 and larger value of t = 5.

Answer:

The correct option is B.

Step-by-step explanation:

The ANOVA table is as follows:

Source of variation          SS            df             MS                F

   Regression               3177.17         2         1588.584          ___

     Residual                    ___           17          17.71713

        Total                    3478.36       19

The complete table is as follows:

Source of variation          SS                  df             MS                  F

   Regression               3177.17               2         1588.584        89.663

     Residual                   301.1941           17          17.7173

        Total                    3478.36             19

The critical value of F is:

[tex]F_{\alpha, (\eta_{1}, \eta_{2})}=F_{0.05, (2,17)}=3.5915[/tex]

Decision rule:

If the calculated value of the F test statistic is more than or equal to the critical value.

[tex]F=89.663\geq F_{2,17}=3.5915[/tex]

The null hypothesis will be rejected.

Conclusion:

At least one of the predictors is useful in explaining Y.

Thus, the correct option is B.

Answer:

circumference

Step-by-step explanation:

Going around is the circumference

Answer:

75°

105°

Step-by-step explanation:

Two co-interor= 180°

5+7= 12

ratio12= 180°

{find the other ratios, 5 and 7)

12=180°

5×180÷12 = 75°

To find 7, just subtract 180-75= 105°

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

Answer:

12+x=24

Step-by-step explanation:

To do this you would just plug in 12 for x to each equation and when you do that the only one that would be right would be 12+x=24

Hi there! Hopefully this helps!

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x + 12 = 30

x = 18.

---------------------------------

15 + x = 15.

x = 0

---------------------------------

x + 5 = 18

x = 13

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