what is the solution to x=sqrt-x+6

Answer:

(x-2)(x-2) or (x+2)(x+2)

Step-by-step explanation:

since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.

The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

for such more question on expressions

https://brainly.com/question/12270624

#SPJ11

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ1

Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i

The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.

Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),

r = |z|  magnitude of z

it becomes

r = √((5)² + (5√3)²) = 10

θ = arg(z) is the argument of z.

θ = atan2(b, a) = atan2(5√3, 5) = π/3

(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)

De Moivre's theorem to raise the complex number to the 7th power

(5 + 5√3i)⁷

= 10⁷× (cos 7π/3 + i sin 7π/3)

= 10⁷ × (cos 2π/3 + i sin 2π/3)

Convert this back to rectangular form:

Real part = r cos θ = 10⁷× cos (2π/3) = -5000000

Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i

∴  (5 + 5√3i)⁷ = -5000000 + 8660254.03i

Find more exercises on De Moivre's Theorem ;

https://brainly.com/question/28999678

#SPJ1

Answer:10^7 (1/2 - √3/2 i)

Step-by-step explanation:

To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:

Magnitude:

|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10

Argument:

arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3

So the number can be written in polar form as:

5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))

Now we can use DeMoivre's theorem:

(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))

To simplify, we need to find the cosine and sine of 7π/3:

cos(7π/3) = cos(π/3) = 1/2

sin(7π/3) = -sin(π/3) = -√3/2

Explanation:

So the final answer in rectangular form is:

10^7 (1/2 - √3/2 i)

1) The lower limit of the confidence Interval is: 1489.77.

The upper limit of the confidence Interval is: 1530.23

2) The lower limit of the confidence Interval is: 1478.32

The upper limit of the confidence Interval is: 15411.68

The formula to find the confidence interval is:

CI = x' ± z(σ/√n)

where:

CI is confidence interval

x' is sample mean

z is z-score at confidence level

σ is standard deviation

n is sample size

1) The parameters are:

σ = $234

x' = $1510

n = 362

z at 90% CL = 1.645

Thus:

CI = 1510 ± 1.645((234/√362)

CI = 1510 ± 20.23

CI = (1489.77, 1530.23)

2) The parameters are:

σ = $234

x' = $1510

n = 362

z at 99% CL = 2.576

Thus:

CI = 1510 ± 2.576((234/√362)

CI = 1510 ± 31.68

CI = (1478.32, 15411.68)

Read more about Confidence Interval at: https://brainly.com/question/15712887

#SPJ1

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Answer:

Using distributive property to solve \((x+12)8\) we get \(\mathbf{8x+96}\)

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: \(a(b+c)=ab+ac\)

Using the property:

\((x+12)8\\=8x+8*12\\=8x+96\)

So, using distributive property to solve \((x+12)8\) we get \(\mathbf{8x+96}\)

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer: C

Step-by-step explanation:

Answer:

Subtract the powers, 8-4.

When you simplify that equation itself, the answer is 10,000.

So when you do 10⁴, it's 10,000.

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

To learn more about the significant digits;

https://brainly.com/question/28993414

#SPJ1

The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer: 16 grasses, 41 weeds, and 51 trees

Step-by-step explanation:

You can use a variable for the different pollen sources. Use g for grass, w for weeds, and t for trees. w=3g-7.  t=3g+3.  g+w+t=108. In that last equation, you can substitute other values for w and t. g+(3g-7)+(3g+3)=108. combine like terms to get, 7g-4=108. This equation simplifies to g=16. Substitute 16 for g in the first 2 equations, and find that w=41, and t=51.

(Sorry if my explanation didn't make sense)

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

you can support by rating brainly it's very much appreciated ✅ ✅

The equation for the shifted graph is y = x + 6.This equation represents the same line as the original equation, y = x + 1, but shifted up by 5 units.

Shifting a graph involves moving it horizontally or vertically while maintaining the same shape and orientation.

To shift the graph of y = x + 1 up by 5 units, you need to add 5 to the y-coordinate of every point on the graph.

The original graph of y = x + 1 is a straight line with slope 1 and y-intercept 1.

To create the shifted graph, you can start by plotting a few points on the original graph and then adding 5 to their y-coordinates to get the corresponding points on the shifted graph.

Alternatively, you can use the general equation for a straight line, y = mx + b, where m is the slope and b is the y-intercept, to find the equation for the shifted graph.

The slope of the original graph is 1, so the slope of the shifted graph is also 1.

To find the y-intercept of the shifted graph, you can plug in x = 0 and y = 6 (since you want the graph to pass through the point (0, 6)) and solve for b:

6 = 1(0) + b

b = 6

To know more about straight line visit:

https://brainly.com/question/28882559

#SPJ9

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

Learn more about population here:

brainly.com/question/25630111

#SPJ1

See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

Option A is the correct answer

Step-by-step explanation:

We know that

1 yard = 3 foot

1 foot = 12 inch

1 yard = \(3\times12\) inches

\(=36\) inches

Option A is the correct answer

y=100000(0.25)^8 exponential decay​ is 1.526.

The formula represents exponential decay with a decay factor of 0.25 and an initial value of 100,000. To evaluate the formula, you can simply substitute 8 for the variable x (since the formula has y in terms of x) and calculate the result:

y = 100000(0.25)^8

y = 100000(0.00001525878906)

y ≈ 1.526

Therefore, the value of y for x = 8 is approximately 1.526. This means that after 8 units of time, the initial value of 100,000 has decayed to around 1.526.

Learn more about exponential decay

https://brainly.com/question/27822382

#SPJ1

Answer:

a) P = 6x + 13//

b) i) x = 5//

ii) 9//

Step-by-step explanation:

a) P = 2(x+2) + 2(2x-1) + 3 + 8 m

= 2x+4 + 4x-2 + 3 + 8

= 6x + 13//

b) i) P = 43 m

43 = 6x + 13

43-13 = 6x

30 = 6x

6 6

x = 5//

ii) longest side = (2x-1) m

2 × 5 - 1

10-1 = 9//

Answer:

45, 90/2 equals 45. everytime you need to find it you do miles/hours

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

A paired t-test can be used to determine if there is a difference between the means of the two groups.

YES.

A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.

In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.

By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.

Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.

for such more question on paired t-test

https://brainly.com/question/15870238

#SPJ8