Solve the equation. x³+1=x²+x .

Answer:

15) A

Step-by-step explanation:

4x-2 + 7x + 17 = 180

11x + 15 = 180

11x = 165

x = 15

Because the two angles (4x-2 and 7x+17) are linear, we can say that they add up to 180 degrees.

4x-2+7x+17 = 180   Now, simplify like terms

11x + 15 = 180

11x = 165

x = 15

Thus, the value of x would be 15 (choice 1)

Answer:

X÷5y

Step-by-step explanation:

5 x y is 5y and then we divide

The expression for the given phrase is 5y/x.

Given that, x divided by the product of 5 and y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

The product of 5 and y =5×y

= 5y

x divided by the product of 5 and y

= 5y/x

Therefore, the expression for the given phrase is 5y/x.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Using the laws of exponents to simplify the expression, we have; 5 1/3

When the power of one or more terms of an expression is greater than 1, then the expression is in an exponential form. Thus some laws can be require to simplify an exponential expression.

In the given question,

2^7/ 2^5 + (4^5)^0 + 3^-1

Thus applying the division law of indices to the first term, we have;

2^7/ 2^5 = 2^(7 - 5)

              = 2^2

In the second term, anything to the power of zero is 1. So that;

(4^5)^0 = (1024)^0

            = 1

In the third term, applying the inverse law of indices. We have;

3^-1 = 1/ 3

Therefore,

2^7/ 2^5 + (4^5)^0 + 3^-1 = 2^2 + 1 + 1/3

                                        = 4 + 1 + 1/3

                                        = 5 + 1/3

                                        = 16/ 3

                                        = 5 1/3

The value of the expression is 5 1/3.

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Answer:

B. x = -8

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

Answer: Time = 8.5 hours

Step-by-step explanation:

Step 1

Speed = distance / time

Distance  traveled by  Hank = 124 miles

Time = 3.4 hrs

Speed= Distance / Time

= 124/ 3.4 = 36.47 miles per hour

Step 2

At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=

Time = Distance / Speed

Time = 310/ 36.47

Time =8.5 hours

Answer:

sorry i'like to help ypu but i dont know the answer

Before performing a significance test about a population mean or proportion, the following conditions must be verified:

Sample Size: The sample size should be sufficiently large to allow the application of the normal distribution. A minimum sample size of 30 is required to meet this requirement.

Normality: The sample should be approximately normally distributed. When the sample size is greater than or equal to 30, the central limit theorem ensures normality. For sample sizes of less than 30, the data should be examined for normality. If the distribution is skewed or has outliers, nonparametric tests should be considered.

Independence: The observations in the sample should be independent of one another. This means that the response from one observation does not depend on the response from another observation.

Equal Variance: The variance of the population should be approximately equal to the variance of the sample. If the variances are unequal, a modified t-test should be used instead of the traditional t-test.

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Answer:

y＝1/7x+4

Step-by-step explanation:

You just put either x or y inside,then you could get the answer.

Please let my answer as brainest

Answer:

3% of 66.7 is 2.001 or 2.00

18% of 66.7 is 12.006 or 12.01

Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

\(6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i\)

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

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Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

These are the two complex solutions to the system. \(y = (1 + i* \sqrt{(2)}) / 2\) and \(y = (1 - i* \sqrt{(2)}) / 2\)

To solve this system, we will first rearrange the second equation to solve for x in terms of y:

x = 1 - 2y

Now we substitute this expression for x into the first equation:

\((1 - 2y + 1)^2 + (y - 1)^2 = 80\)

Simplifying, we get:

4y² - 4y + 2 = 0

Dividing by 2, we get:

2y² - 2y + 1 = 0

Using the quadratic formula, we get:

\(y = (2 \± \sqrt{(4 - 8)}) / 4\\y = (1 \± i* \sqrt{(2)}) / 2\)

where i is the imaginary unit. These are complex solutions, which means that there are no real solutions to this system. Therefore, the system has no solutions in the real plane.

In the complex plane, the system has two solutions, which are:

\(x = 1 - 2[(1 + \sqrt{(2)}) / 2] = -1 - \sqrt{(2)\)

\(y = (1 + *\sqrt{(2)}) / 2\) and \(x = 1 - 2[(1 -\sqrt{(2)}) / 2] = -1 + \sqrt{(2)\)

\(y = (1 - *\sqrt{(2)}) / 2\)

These are the two complex solutions to the system.

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The inverse of the given function is represented by Data Table B.

A function is a law that relates a dependent and an independent variable.

The Inverse of the function is determined by interchanging the values of a and y in an f(x,y) function and then express the equation of y in terms of x.

Th table of the function is

Miles to go             Miles Travelled

0                                       0

100                                  310

200                                  450

340                                   550

650                                   650

The inverse of this data table will be

 Miles Travelled             Miles to go

650                                        650

340                                        550  

200                                       450

100                                        310

0                                             0

This is represented by Data Table B.

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3 + 6 + 1 + 4 or 2 + 3 + 4 + 5

Step-by-step explanation:

3 + 6 + 1 + 4 or 2 + 3 + 4 + 5

Give them all the same decimal places and then compare:

0,800

1,140

Now you can compare them on equal footing.  If we cut out the decimal,

Is 1140 or 800 greater?

The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.

Hence, Here are the three cases:

Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.

This can be done with C(21,8) ways.

Case 2: One vowel included:

Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.

The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.

Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.

Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.

Again, the vowels must be placed in alphabetical order once they are selected.

However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.

Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.

So, The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

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Answer:

No, also you can try  to use desmos to figure it out it is a very helpful tool

Step-by-step explanation:

Answer:

$35

Step-by-step explanation:

first we need to find the amount of money the sweaters cost alone.

so we first subtract the total (160) - the skirt price (20) which is 140

now we divide it by 4 to find the price of each seater, as they all cost the same.

so 140 divided by 4 = 35

answer: $35

Step-by-step explanation:

wapsi ki Vidya kya hai Hindi mein

The numerical value of x in the supplementary angle is 15.

Supplementary angles simply refer to the pair of angles that always sum up to 180°.

Given that; angle ZJ and ZK are supplementary angles:

Since the two angles are supplementary angles, their sum will equal 180 degrees.

Hence:

Angle ZJ + Angle ZK = 180

Plug in the values and solve for x

9x + 45 = 180

Subtract 45 from both sides

9x + 45 - 45 = 180 - 45

9x = 180 - 45

9x = 135

Divide both sides by 9

x = 135/9

x = 15

Therefore, x has a value of 15.

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Answer:

the answer is the 3rd option::

-5x/6+8

Answer:

Step-by-step explanation:

The correct option is \(-\frac{5}{6}x+8\).

Given the expression,

\((-\frac{2}{3}x-6)-(-14+\frac{1}{6}x)\\\\=-\frac{2}{3}x-6+14-\frac{1}{6}x\\=\frac{-4x-x}{6} +8\\\\=-\frac{5}{6}x+8\), Using simple addition and subtraction rule.

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Answer:

\(A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\\)

        = $2960.49

option  1

Answer:

28 cups of Flower

Ratio Table:

2,4,6,8

7,14,21,28

Step-by-step explanation:

2x4/7x4=8/28

The first term and the common ratio of the geometric sequence are given as follows:

\(a_1 = 3, q = \pm 3\)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q, meaning that each term is obtained by the multiplication of the previous term by the common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

Adding the two equations, the third term of the sequence is given as follows:

\(2a_3 = 54\)

\(a_3 = 27\)

Replacing the third term into the first equation, the first term of the sequence is given as follows:

\(a_1 + 27 = 30\)

\(a_1 = 3\)

Then the common ratio is given as follows:

\(a_3 = a_1q^2\)

q² = 27/3

q = ± sqrt(9)

q = ±3.

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Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

4*1+5*1=9

Step-by-step explanation:

Hope this helps. :)

The necessary entries for the transactions would include a debit to the Inventory account for the total cost of the merchandise and freight, which is $47,000 ($44,000 + $3,000).

There would also be a credit to the Accounts Payable account for $44,000 to record the amount owed to Poole Wholesale Company for the merchandise. The remaining $3,000 would be credited to the Cash account to record the payment made for freight costs.

As Wilson Company uses the perpetual inventory system, the cost of the merchandise purchased is immediately recorded in the Inventory account upon purchase. The debit to the Inventory account reflects the increase in the company's inventory as a result of the purchase, while the credit to the Accounts Payable account reflects the liability owed to the supplier for the merchandise.

The credit to the Cash account reflects the outflow of cash to pay for the freight costs. By making these entries, Wilson Company will have an accurate record of the cost of its inventory and the amount it owes to its supplier.

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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Solution:

The cost of the Camera is $540

The sales tax is 7.2%

To find the tax charge, the formula is

Substitute into the formula above

Hence, the tax charged is $38.88.

The total cost of the Camera will be

Hence, the total cost of the Camera is $578.88