Solve the equation using square roots.

[tex](x+2)^{2} = 36[/tex]

Answer:

27 laps

Step-by-step explanation:

So first step is to work out how many times 11 fits into 60

[tex] \frac{60}{11} = 5.4545455[/tex]

Then you would times that by the number of laps which is 5

[tex]5.454545455 \times 5 = 27.27.....[/tex]

So it is 27 laps as .27 of a lap is not a complete lap

Answer:

∠B` = 109.73°, ∠B = 70.27°

Step-by-step explanation:

∠B + ∠B` = 180°

The Sine Law:

10 / sin B` = 9.2 / sin 60°

10 / sin B` = 9.2 / √3/2

sin B` = 0.94133

B` = sin^(-1) 0.94133

∠B` = 109.73°, ∠B = 70.27°

Answer:

[tex]Sin156[/tex]

Step-by-step explanation:

Given

[tex]Sin24[/tex]

Required

Find equivalent between 0 to 180;

Let 24 be represented by [tex]\theta[/tex]

So, [tex]\theta = 24[/tex]

From Trigonometry ratios;

[tex]Sin\theta = Sin(180 - \theta)[/tex] where [tex]0\leq \theta \leq 180[/tex]

Recall that [tex]\theta = 24[/tex]

So, we have to substitute 24 for [tex]\theta[/tex] in the above expression.

This gives

[tex]Sin24= Sin(180 - 24)[/tex]

Subtract 24 from 180

[tex]Sin24= Sin156[/tex]

Hence, the equivalent of [tex]Sin24[/tex] is [tex]Sin156[/tex]

Answer:

Point T is on the circle

Step-by-step explanation:

To check where the point lies, we need to find its distance to the center of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by:

[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

If the first point is O(0,0) and the second is T(5, -2), we have:

[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]

[tex]distance = \sqrt{29}[/tex]

The distance between the points is equal the radius of the circle, that means the point T is on the circle.

Answer:

inside the circle

Step-by-step explanation:

Khan Academe

Answer:

y+10

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Y-10 bc she ran 10 seconds faster

Answer:

[tex]x=-\dfrac{17}{26}[/tex]

Step-by-step explanation:

[tex]4(7x-1)=3(2x+1)-4(x+6)[/tex]

Expand parentheses:

[tex]28x-4=6x+3-4x-24[/tex]

Combine like terms:

[tex]28x-4=2x-21[/tex]

Subtract 2x from both sides:

[tex]26x-4=-21[/tex]

Add 4 to both sides:

[tex]26x=-17[/tex]

Divide both sides by 26:

[tex]x=-\dfrac{17}{26}[/tex]

Hope this helps!

Answer:

[tex]x = \frac{ - 17}{26} \\ \\ [/tex]

Step-by-step explanation:

[tex]4(7x - 1) = 3(2x + 1) - 4(x + 6) \\ 28x - 4 = 6x + 3 - 4x - 24 \\ 28x - 6x + 4x = 4 + 3 - 24 \\ 26x = - 17\\ \frac{26x}{26} = \frac{ - 17}{26} \\ x = \frac{ - 17}{26} \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(h+7j)*(h+2j)

Step-by-step explanation:

h^2+7hj+2hj+14j^2

h*(h+7j)+2j*(h+7j)=(h+7j)*(h+2j)

So the right answer is (h+2)(h+7j)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

Answer:

Option D

Step-by-step explanation:

[tex]4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}[/tex]

Answer: $10,114.41

Step-by-step explanation:

A = P(1 + r/n)^nt

Answer:

y = -3x + 12

Step-by-step explanation:

Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (1, 9) and Gradient (m): -3

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - (9) = -3(x-1)

This becomes:

y -9 = -3x +3

Keep solving by moving the 10 over to the other side:

y = -3x + 3 +9

y = -3x + 12

An easy way to double check:

1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.

2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer: 5

Step-by-step explanation: just incase no one could see it

Answer:

[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]

These all thave the same quotient of 3.2

Step-by-step explanation:

The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.

To find 2 mixed number or fraction with a quotient 3.2.

We can write 3.2 in the fractional form:

[tex]3.2 = \frac{32}{10}[/tex]

Now multiply both the numerator and denominator with 2, we get

[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]

which also has the quotient 3.2

Similarly, multiply both numerator and denominator of 32/10 by 3, we get

[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]

whici also has the quotient of 3.2

Similarly we can go on to find as many values as we want with the same quotient.

Agree with Elena, because 9x - 2x + 4x is equivalent to 11x, after the subtraction only applies to 2x.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x.

And, Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

Now,

Since, We know that;

⇒ 9x - 2x + 4x

⇒ 7x + 4x

⇒ 11x

Thus, Elena is correct as;

⇒ Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ5

Answer:

P=10/36=5/18

Step-by-step explanation:

if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10

S (sample space)=36 because there are 2 dices.

soP=E/S=10/36=5/18

Answer:

(if their are no measurements for the smaller boxes) the biggest should cost the most

Step-by-step explanation:

it should hold the most popcorn and their for cost the moast

Answer:g

2

Step-by-step explanation:the is answer is by the multiply the numbers

The value of x in the model that makes the equation true is: b. x = 2.25

We can find the value of x that makes the equation true by applying our knowledge of how to model equations.

From the image given:

[tex]-3x + 10[/tex]

[tex]5x - 8[/tex]

[tex]-3x + 10 = 5x - 8[/tex]

[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]

[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]

Therefore, the value of x in the model that makes the equation true is: b. x = 2.25

Learn more here:

https://brainly.com/question/16614424

Answer:

The depreciation each year is option B. $1500.00

Step-by-step explanation:

Initial value of car = $9600

Salvage value = $600

Salvage value is the final value of product after all the depreciation have been applied on the product.

So, total depreciation on the car = [tex]\$9600 - \$600 \Rightarrow \$9000[/tex]

Also, it is given that the depreciation occurs at a straight line method i.e. same depreciation occurs every year.

Depreciation in 6 years = $9000

Depreciation in 1 year =

[tex]\dfrac{\$9000}{6} \Rightarrow \$1500[/tex]

Hence, option B. $1500 is the correct answer for the depreciation every year.

Answer:

$276

Step-by-step explanation:

345*4 = 1380

1380*.2 = 276

Answer:

4

Step-by-step explanation:

20 is the median

so before and after 20 is the Q3 and Q1

Q1 is 18

Q3 is 22

22 minus 18

The Interquartile range, IQR of the numbers is 4

The process of calculating the above Interquartile Range, IQR is as follows;

The given numbers in the data set are;

17, 18, 18, 19, 20, 21, 21, 23, 25

The required information;

Calculate the inter quartile range IQR = Q₃ - Q₁

The method;

The numbers in the data set are to be arranged in increasing order from smallest to largest number to give;

17, 18, 18, 19, 20, 21, 21, 23, 25 (The numbers were already arranged)

The values of first quartile, Q₁, and the third quartile, Q₃ are then found as follows;

The first quartile, Q₁ = The (n + 1)/4 th term

The third quartile, Q₃ = The 3·(n + 1)/4 th term

Where;

n = The number count in the data set = 9

Therefore:

Q₁ = The (9 + 1)/4 = The 2.5 th term = 18 + (18 - 18) × 0.5 = 18

Q₃ = The 3 × (9 + 1)/4 th term = 7.5 th term = 21 + (23 - 21) × 0.5 = 22

IQR = Q₃ - Q₁

Therefore;

IQR = 22 - 18 = 4

The Interquartile Range, IQR = 4

The Box and Whiskers plot of the above data created with MS Excel is

Learn more about interquartile range, IQR here:

https://brainly.com/question/16126156

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

Answer:

d

Step-by-step explanation:

ANSWER: The answer is C

Answer: Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Here is the complete question:

A study of parents of kindergarteners included 349 parents who were

chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter.

Three hundred forty-nine is the parameter and 47% is the statistic.

Three hundred forty-nine is the statistic and 47% is the parameter.

Three hundred forty-nine is the parameter and 31% is the statistic.

Forty-seven percent is the parameter and 31% is the statistic.

Forty-seven percent is the statistic and 31% is the parameter.

A parameter is a value which tells one about something about a population. A parameter is the opposite of a statistic. A statistic tells you something about a small part of the population.

Sample size (n) = 349

From the given sample, we are told that 47% parents sent their students to pre-kindergarten and also that the school record shows that 31% parents sent their students to pre-kindergarten which is, p =0.31

So, 47% is the statistic and 31% is the parameter.

Answer:

Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Answer

7 beakers

Step-by-step explanation:

going by filling the beakers it goes 2/5 4/5 7/5 (1 2/5) 1 4/5 2 1/5 2 3/5 3 beakers. Count that and it equals 7 beakers using 3 liters of water.

Answer:

It is D

Step-by-step explanation:

Answer:

The answer is D or cubic binomial.

Step-by-step explanation:

Stay safe and mark brainliest! (even though you did all the work and got it right:);))

Answer:

I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)

ps. check if you have the question correct

Answer:

Infinite

Step-by-step explanation:

6x+3=6x+3

6x=6x

x=x

Infinite

The number of solutions should be infinite.

Since the equation is

6x + 3 = 6x + 3

So here,

6x+3=6x+3

6x=6x

x=x

So based on the above calculations, we can conclude that The number of solutions should be infinite.

Learn more about equation here: https://brainly.com/question/15844891

Answer:

x = -8

Step-by-step explanation:

Step 1: Write the equation

1/4x = -2

Step 2: Divide both sides by 1/4

You should get -8 as your final answer.

Answer:

x = -8

Step-by-step explanation:

1/4 x = -2

Multiply each side by 4

1/4 x * 4 = -2*4

x = -8

Answer:

3√13

Step-by-step explanation:

Distance = (-1,0)  (8,6) =3√13

1: The distance between  (-1,0)  (8,6) is=  √8-(-1))2+(6-0)2  =    3√13

Answer: 3√13

Hope this helps.